%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL430-1 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n032.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 29 17:25:20 EDT 2024

% Result   : Unsatisfiable 115.17s 115.46s
% Output   : Proof 115.26s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.21  % Problem    : LCL430-1 : TPTP v8.2.0. Released v3.2.0.
% 0.11/0.22  % Command    : do_cvc5 %s %d
% 0.22/0.43  % Computer : n032.cluster.edu
% 0.22/0.43  % Model    : x86_64 x86_64
% 0.22/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.43  % Memory   : 8042.1875MB
% 0.22/0.43  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.22/0.43  % CPULimit   : 300
% 0.22/0.43  % WCLimit    : 300
% 0.22/0.43  % DateTime   : Mon May 27 21:26:39 EDT 2024
% 0.22/0.43  % CPUTime    : 
% 0.50/0.82  %----Proving TF0_NAR, FOF, or CNF
% 0.50/0.83  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.72/10.92  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.94/16.12  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 21.00/21.24  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 26.08/26.30  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 31.13/31.41  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 36.28/36.52  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 41.40/41.64  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 46.53/46.79  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 51.59/51.90  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 56.71/57.02  --- Run --relevant-triggers --full-saturate-quant at 5...
% 61.85/62.12  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 67.00/67.25  --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 77.06/77.36  --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 87.17/87.47  --- Run --no-cbqi --full-saturate-quant at 10...
% 97.29/97.57  --- Run --macros-quant --macros-quant-mode=all --full-saturate-quant...
% 115.17/115.46  % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.xfW1wJrx7S/cvc5---1.0.5_8128.smt2
% 115.17/115.46  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.xfW1wJrx7S/cvc5---1.0.5_8128.smt2
% 115.17/115.49  (assume a0 (forall ((V_a_H $$unsorted) (T_a $$unsorted)) (not (= tptp.c_PropLog_Opl_Ofalse (tptp.c_PropLog_Opl_Ovar V_a_H T_a)))))
% 115.17/115.49  (assume a1 (forall ((V_a_H $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_PropLog_Opl_Ovar V_a_H T_a) tptp.c_PropLog_Opl_Ofalse))))
% 115.17/115.49  (assume a2 (forall ((V_pl1_H $$unsorted) (V_pl2_H $$unsorted) (T_a $$unsorted)) (not (= tptp.c_PropLog_Opl_Ofalse (tptp.c_PropLog_Opl_Oop_A_N_62 V_pl1_H V_pl2_H T_a)))))
% 115.17/115.49  (assume a3 (forall ((V_pl1_H $$unsorted) (V_pl2_H $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_PropLog_Opl_Oop_A_N_62 V_pl1_H V_pl2_H T_a) tptp.c_PropLog_Opl_Ofalse))))
% 115.17/115.49  (assume a4 (forall ((V_a $$unsorted) (T_a $$unsorted) (V_pl1_H $$unsorted) (V_pl2_H $$unsorted)) (not (= (tptp.c_PropLog_Opl_Ovar V_a T_a) (tptp.c_PropLog_Opl_Oop_A_N_62 V_pl1_H V_pl2_H T_a)))))
% 115.17/115.49  (assume a5 (forall ((V_pl1_H $$unsorted) (V_pl2_H $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (not (= (tptp.c_PropLog_Opl_Oop_A_N_62 V_pl1_H V_pl2_H T_a) (tptp.c_PropLog_Opl_Ovar V_a T_a)))))
% 115.17/115.49  (assume a6 (forall ((V_a $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted)) (or (not (= (tptp.c_PropLog_Opl_Ovar V_a T_a) (tptp.c_PropLog_Opl_Ovar V_a_H T_a))) (= V_a V_a_H))))
% 115.17/115.49  (assume a7 (forall ((V_pl1 $$unsorted) (V_pl2 $$unsorted) (T_a $$unsorted) (V_pl1_H $$unsorted) (V_pl2_H $$unsorted)) (or (not (= (tptp.c_PropLog_Opl_Oop_A_N_62 V_pl1 V_pl2 T_a) (tptp.c_PropLog_Opl_Oop_A_N_62 V_pl1_H V_pl2_H T_a))) (= V_pl1 V_pl1_H))))
% 115.17/115.49  (assume a8 (forall ((V_pl1 $$unsorted) (V_pl2 $$unsorted) (T_a $$unsorted) (V_pl1_H $$unsorted) (V_pl2_H $$unsorted)) (or (not (= (tptp.c_PropLog_Opl_Oop_A_N_62 V_pl1 V_pl2 T_a) (tptp.c_PropLog_Opl_Oop_A_N_62 V_pl1_H V_pl2_H T_a))) (= V_pl2 V_pl2_H))))
% 115.17/115.49  (assume a9 (forall ((V_p $$unsorted) (V_H $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_p V_H (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a)))))
% 115.17/115.49  (assume a10 (forall ((V_x $$unsorted) (V_xo $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_x (tptp.c_Datatype_Oo2s V_xo T_a) T_a)) (= V_xo (tptp.c_Datatype_Ooption_OSome V_x T_a)))))
% 115.17/115.49  (assume a11 (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.c_in V_x (tptp.c_Datatype_Oo2s (tptp.c_Datatype_Ooption_OSome V_x T_a) T_a) T_a)))
% 115.17/115.49  (assume a12 (forall ((V_x $$unsorted) (T_a $$unsorted)) (or (= V_x tptp.c_Datatype_Ooption_ONone) (= V_x (tptp.c_Datatype_Ooption_OSome (tptp.c_Main_Onot__None__eq__iff1__1 V_x T_a) T_a)))))
% 115.17/115.49  (assume a13 (forall ((V_x $$unsorted) (T_a $$unsorted)) (or (= V_x tptp.c_Datatype_Ooption_ONone) (= V_x (tptp.c_Datatype_Ooption_OSome (tptp.c_Main_Onot__Some__eq__iff1__1 V_x T_a) T_a)))))
% 115.17/115.49  (assume a14 (forall ((V_a_H $$unsorted) (T_a $$unsorted)) (not (= tptp.c_Datatype_Ooption_ONone (tptp.c_Datatype_Ooption_OSome V_a_H T_a)))))
% 115.17/115.49  (assume a15 (forall ((V_a_H $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_Datatype_Ooption_OSome V_a_H T_a) tptp.c_Datatype_Ooption_ONone))))
% 115.17/115.49  (assume a16 (forall ((V_a $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted)) (or (not (= (tptp.c_Datatype_Ooption_OSome V_a T_a) (tptp.c_Datatype_Ooption_OSome V_a_H T_a))) (= V_a V_a_H))))
% 115.17/115.49  (assume a17 (forall ((V_a $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_b $$unsorted)) (or (not (= (tptp.c_Datatype__Universe_OAtom V_a T_a T_b) (tptp.c_Datatype__Universe_OAtom V_b T_a T_b))) (= V_a V_b))))
% 115.17/115.49  (assume a18 (forall ((V_a $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_M $$unsorted) (V_N $$unsorted)) (not (= (tptp.c_Datatype__Universe_OAtom V_a T_a T_b) (tptp.c_Datatype__Universe_OScons V_M V_N T_a T_b)))))
% 115.17/115.49  (assume a19 (forall ((V_M $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_N $$unsorted)) (or (not (= (tptp.c_Datatype__Universe_OIn0 V_M T_a T_b) (tptp.c_Datatype__Universe_OIn0 V_N T_a T_b))) (= V_M V_N))))
% 115.17/115.49  (assume a20 (forall ((V_M $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_N $$unsorted)) (not (= (tptp.c_Datatype__Universe_OIn0 V_M T_a T_b) (tptp.c_Datatype__Universe_OIn1 V_N T_a T_b)))))
% 115.17/115.49  (assume a21 (forall ((V_M $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_N $$unsorted)) (or (not (= (tptp.c_Datatype__Universe_OIn1 V_M T_a T_b) (tptp.c_Datatype__Universe_OIn1 V_N T_a T_b))) (= V_M V_N))))
% 115.17/115.49  (assume a22 (forall ((V_N $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_M $$unsorted)) (not (= (tptp.c_Datatype__Universe_OIn1 V_N T_a T_b) (tptp.c_Datatype__Universe_OIn0 V_M T_a T_b)))))
% 115.17/115.49  (assume a23 (forall ((V_a $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_k $$unsorted)) (not (= (tptp.c_Datatype__Universe_OLeaf V_a T_a T_b) (tptp.c_Datatype__Universe_ONumb V_k T_a T_b)))))
% 115.17/115.49  (assume a24 (forall ((V_a $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_M $$unsorted) (V_N $$unsorted)) (not (= (tptp.c_Datatype__Universe_OLeaf V_a T_a T_b) (tptp.c_Datatype__Universe_OScons V_M V_N T_a T_b)))))
% 115.17/115.49  (assume a25 (forall ((V_k $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a $$unsorted)) (not (= (tptp.c_Datatype__Universe_ONumb V_k T_a T_b) (tptp.c_Datatype__Universe_OLeaf V_a T_a T_b)))))
% 115.17/115.49  (assume a26 (forall ((V_k $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_M $$unsorted) (V_N $$unsorted)) (not (= (tptp.c_Datatype__Universe_ONumb V_k T_a T_b) (tptp.c_Datatype__Universe_OScons V_M V_N T_a T_b)))))
% 115.17/115.49  (assume a27 (forall ((V_M $$unsorted) (V_N $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_M_H $$unsorted) (V_N_H $$unsorted)) (or (not (= (tptp.c_Datatype__Universe_OScons V_M V_N T_a T_b) (tptp.c_Datatype__Universe_OScons V_M_H V_N_H T_a T_b))) (= V_M V_M_H))))
% 115.17/115.49  (assume a28 (forall ((V_M $$unsorted) (V_N $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_M_H $$unsorted) (V_N_H $$unsorted)) (or (not (= (tptp.c_Datatype__Universe_OScons V_M V_N T_a T_b) (tptp.c_Datatype__Universe_OScons V_M_H V_N_H T_a T_b))) (= V_N V_N_H))))
% 115.17/115.49  (assume a29 (forall ((V_M $$unsorted) (V_N $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a $$unsorted)) (not (= (tptp.c_Datatype__Universe_OScons V_M V_N T_a T_b) (tptp.c_Datatype__Universe_OAtom V_a T_a T_b)))))
% 115.17/115.49  (assume a30 (forall ((V_M $$unsorted) (V_N $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a $$unsorted)) (not (= (tptp.c_Datatype__Universe_OScons V_M V_N T_a T_b) (tptp.c_Datatype__Universe_OLeaf V_a T_a T_b)))))
% 115.17/115.49  (assume a31 (forall ((V_M $$unsorted) (V_N $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_k $$unsorted)) (not (= (tptp.c_Datatype__Universe_OScons V_M V_N T_a T_b) (tptp.c_Datatype__Universe_ONumb V_k T_a T_b)))))
% 115.17/115.49  (assume a32 (forall ((V_m $$unsorted)) (or (not (tptp.c_Divides_Oop_Advd tptp.c_0 V_m tptp.tc_nat)) (= V_m tptp.c_0))))
% 115.17/115.49  (assume a33 (tptp.c_Divides_Oop_Advd tptp.c_0 tptp.c_0 tptp.tc_nat))
% 115.17/115.49  (assume a34 (forall ((V_A $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (not (= tptp.c_emptyset (tptp.c_Equiv__Relations_Oquotient V_A V_r T_a))) (= V_A tptp.c_emptyset))))
% 115.17/115.49  (assume a35 (forall ((V_r $$unsorted) (T_a $$unsorted)) (= tptp.c_emptyset (tptp.c_Equiv__Relations_Oquotient tptp.c_emptyset V_r T_a))))
% 115.17/115.49  (assume a36 (forall ((V_A $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Equiv__Relations_Oquotient V_A V_r T_a) tptp.c_emptyset)) (= V_A tptp.c_emptyset))))
% 115.17/115.49  (assume a37 (forall ((V_r $$unsorted) (T_a $$unsorted)) (= (tptp.c_Equiv__Relations_Oquotient tptp.c_emptyset V_r T_a) tptp.c_emptyset)))
% 115.17/115.49  (assume a38 (not (= tptp.c_Extraction_Osumbool_OLeft tptp.c_Extraction_Osumbool_ORight)))
% 115.17/115.49  (assume a39 (not (= tptp.c_Extraction_Osumbool_ORight tptp.c_Extraction_Osumbool_OLeft)))
% 115.17/115.49  (assume a40 (forall ((V_A $$unsorted) (V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in (tptp.c_minus V_A (tptp.c_insert V_a V_B T_a) (tptp.tc_set T_a)) tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (tptp.c_in (tptp.c_minus V_A V_B (tptp.tc_set T_a)) tptp.c_Finite__Set_OFinites (tptp.tc_set T_a)))))
% 115.17/115.49  (assume a41 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.c_in (tptp.c_minus V_A V_B (tptp.tc_set T_a)) tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (tptp.c_in (tptp.c_minus V_A (tptp.c_insert V_a V_B T_a) (tptp.tc_set T_a)) tptp.c_Finite__Set_OFinites (tptp.tc_set T_a)))))
% 115.17/115.49  (assume a42 (forall ((V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in (tptp.c_Pow V_A T_a) tptp.c_Finite__Set_OFinites (tptp.tc_set (tptp.tc_set T_a)))) (tptp.c_in V_A tptp.c_Finite__Set_OFinites (tptp.tc_set T_a)))))
% 115.17/115.49  (assume a43 (forall ((V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_A tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (tptp.c_in (tptp.c_Pow V_A T_a) tptp.c_Finite__Set_OFinites (tptp.tc_set (tptp.tc_set T_a))))))
% 115.17/115.49  (assume a44 (forall ((V_F $$unsorted) (V_G $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in (tptp.c_union V_F V_G T_a) tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (tptp.c_in V_F tptp.c_Finite__Set_OFinites (tptp.tc_set T_a)))))
% 115.17/115.49  (assume a45 (forall ((V_F $$unsorted) (V_G $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in (tptp.c_union V_F V_G T_a) tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (tptp.c_in V_G tptp.c_Finite__Set_OFinites (tptp.tc_set T_a)))))
% 115.17/115.49  (assume a46 (forall ((V_G $$unsorted) (T_a $$unsorted) (V_F $$unsorted)) (or (not (tptp.c_in V_G tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (not (tptp.c_in V_F tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (tptp.c_in (tptp.c_union V_F V_G T_a) tptp.c_Finite__Set_OFinites (tptp.tc_set T_a)))))
% 115.17/115.49  (assume a47 (forall ((V_r $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in (tptp.c_Relation_Oconverse V_r T_b T_a) tptp.c_Finite__Set_OFinites (tptp.tc_set (tptp.tc_prod T_a T_b)))) (tptp.c_in V_r tptp.c_Finite__Set_OFinites (tptp.tc_set (tptp.tc_prod T_b T_a))))))
% 115.17/115.49  (assume a48 (forall ((V_r $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_r tptp.c_Finite__Set_OFinites (tptp.tc_set (tptp.tc_prod T_b T_a)))) (tptp.c_in (tptp.c_Relation_Oconverse V_r T_b T_a) tptp.c_Finite__Set_OFinites (tptp.tc_set (tptp.tc_prod T_a T_b))))))
% 115.17/115.49  (assume a49 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_Divides_Oop_Advd V_k (tptp.c_GCD_Ogcd (tptp.c_Pair V_m V_n tptp.tc_nat tptp.tc_nat)) tptp.tc_nat)) (tptp.c_Divides_Oop_Advd V_k V_m tptp.tc_nat))))
% 115.17/115.49  (assume a50 (forall ((V_k $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_Divides_Oop_Advd V_k (tptp.c_GCD_Ogcd (tptp.c_Pair V_m V_n tptp.tc_nat tptp.tc_nat)) tptp.tc_nat)) (tptp.c_Divides_Oop_Advd V_k V_n tptp.tc_nat))))
% 115.17/115.49  (assume a51 (forall ((V_k $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (or (not (tptp.c_Divides_Oop_Advd V_k V_n tptp.tc_nat)) (not (tptp.c_Divides_Oop_Advd V_k V_m tptp.tc_nat)) (tptp.c_Divides_Oop_Advd V_k (tptp.c_GCD_Ogcd (tptp.c_Pair V_m V_n tptp.tc_nat tptp.tc_nat)) tptp.tc_nat))))
% 115.17/115.49  (assume a52 (not (tptp.c_in tptp.c_UNIV tptp.c_Finite__Set_OFinites (tptp.tc_set tptp.tc_nat))))
% 115.17/115.49  (assume a53 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_IntDef_Oint V_m) (tptp.c_IntDef_Oint V_n))) (= V_m V_n))))
% 115.17/115.49  (assume a54 (forall ((V_z $$unsorted) (V_w $$unsorted)) (or (not (tptp.c_Divides_Oop_Advd V_z (tptp.c_uminus V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)) (tptp.c_Divides_Oop_Advd V_z V_w tptp.tc_IntDef_Oint))))
% 115.17/115.49  (assume a55 (forall ((V_z $$unsorted) (V_w $$unsorted)) (or (not (tptp.c_Divides_Oop_Advd V_z V_w tptp.tc_IntDef_Oint)) (tptp.c_Divides_Oop_Advd V_z (tptp.c_uminus V_w tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint))))
% 115.17/115.49  (assume a56 (forall ((V_m $$unsorted)) (or (not (tptp.c_Divides_Oop_Advd tptp.c_0 V_m tptp.tc_IntDef_Oint)) (= V_m tptp.c_0))))
% 115.17/115.49  (assume a57 (tptp.c_Divides_Oop_Advd tptp.c_0 tptp.c_0 tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a58 (forall ((V_z $$unsorted) (V_w $$unsorted)) (or (not (tptp.c_Divides_Oop_Advd (tptp.c_uminus V_z tptp.tc_IntDef_Oint) V_w tptp.tc_IntDef_Oint)) (tptp.c_Divides_Oop_Advd V_z V_w tptp.tc_IntDef_Oint))))
% 115.17/115.49  (assume a59 (forall ((V_z $$unsorted) (V_w $$unsorted)) (or (not (tptp.c_Divides_Oop_Advd V_z V_w tptp.tc_IntDef_Oint)) (tptp.c_Divides_Oop_Advd (tptp.c_uminus V_z tptp.tc_IntDef_Oint) V_w tptp.tc_IntDef_Oint))))
% 115.17/115.49  (assume a60 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (not (tptp.c_in (tptp.c_Pair V_xs tptp.c_List_Olist_ONil (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olex V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a))))))
% 115.17/115.49  (assume a61 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= tptp.c_List_Olist_ONil (tptp.c_append V_xs V_ys T_a))) (= V_xs tptp.c_List_Olist_ONil))))
% 115.17/115.49  (assume a62 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= tptp.c_List_Olist_ONil (tptp.c_append V_xs V_ys T_a))) (= V_ys tptp.c_List_Olist_ONil))))
% 115.17/115.49  (assume a63 (forall ((T_a $$unsorted)) (= tptp.c_List_Olist_ONil (tptp.c_append tptp.c_List_Olist_ONil tptp.c_List_Olist_ONil T_a))))
% 115.17/115.49  (assume a64 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (not (= tptp.c_List_Olist_ONil (tptp.c_List_Orev V_xs T_a))) (= V_xs tptp.c_List_Olist_ONil))))
% 115.17/115.49  (assume a65 (forall ((T_a $$unsorted)) (= tptp.c_List_Olist_ONil (tptp.c_List_Orev tptp.c_List_Olist_ONil T_a))))
% 115.17/115.49  (assume a66 (forall ((V_ys $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (not (tptp.c_in (tptp.c_Pair tptp.c_List_Olist_ONil V_ys (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olex V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a))))))
% 115.17/115.49  (assume a67 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_append V_xs (tptp.c_List_Olist_OCons V_x tptp.c_List_Olist_ONil T_a) T_a) (tptp.c_append V_ys (tptp.c_List_Olist_OCons V_y tptp.c_List_Olist_ONil T_a) T_a))) (= V_xs V_ys))))
% 115.17/115.49  (assume a68 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_append V_xs (tptp.c_List_Olist_OCons V_x tptp.c_List_Olist_ONil T_a) T_a) (tptp.c_append V_ys (tptp.c_List_Olist_OCons V_y tptp.c_List_Olist_ONil T_a) T_a))) (= V_x V_y))))
% 115.17/115.49  (assume a69 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in (tptp.c_append V_xs V_ys T_a) (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a))) (tptp.c_in V_xs (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a)))))
% 115.17/115.49  (assume a70 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in (tptp.c_append V_xs V_ys T_a) (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a))) (tptp.c_in V_ys (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a)))))
% 115.17/115.49  (assume a71 (forall ((V_ys $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (or (not (tptp.c_in V_ys (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a))) (not (tptp.c_in V_xs (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a))) (tptp.c_in (tptp.c_append V_xs V_ys T_a) (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a)))))
% 115.17/115.49  (assume a72 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_append V_xs V_ys T_a) tptp.c_List_Olist_ONil)) (= V_xs tptp.c_List_Olist_ONil))))
% 115.17/115.49  (assume a73 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_append V_xs V_ys T_a) tptp.c_List_Olist_ONil)) (= V_ys tptp.c_List_Olist_ONil))))
% 115.17/115.49  (assume a74 (forall ((T_a $$unsorted)) (= (tptp.c_append tptp.c_List_Olist_ONil tptp.c_List_Olist_ONil T_a) tptp.c_List_Olist_ONil)))
% 115.17/115.49  (assume a75 (forall ((V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_zs $$unsorted)) (or (not (= (tptp.c_append V_ys V_xs T_a) (tptp.c_append V_zs V_xs T_a))) (= V_ys V_zs))))
% 115.17/115.49  (assume a76 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_append V_xs V_ys T_a) V_ys)) (= V_xs tptp.c_List_Olist_ONil))))
% 115.17/115.49  (assume a77 (forall ((V_ys $$unsorted) (T_a $$unsorted)) (= (tptp.c_append tptp.c_List_Olist_ONil V_ys T_a) V_ys)))
% 115.17/115.49  (assume a78 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_append V_xs V_ys T_a) V_xs)) (= V_ys tptp.c_List_Olist_ONil))))
% 115.17/115.49  (assume a79 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_append V_xs tptp.c_List_Olist_ONil T_a) V_xs)))
% 115.17/115.49  (assume a80 (forall ((V_nibble1 $$unsorted) (V_nibble2 $$unsorted) (V_nibble1_H $$unsorted) (V_nibble2_H $$unsorted)) (or (not (= (tptp.c_List_Ochar_OChar V_nibble1 V_nibble2) (tptp.c_List_Ochar_OChar V_nibble1_H V_nibble2_H))) (= V_nibble1 V_nibble1_H))))
% 115.17/115.49  (assume a81 (forall ((V_nibble1 $$unsorted) (V_nibble2 $$unsorted) (V_nibble1_H $$unsorted) (V_nibble2_H $$unsorted)) (or (not (= (tptp.c_List_Ochar_OChar V_nibble1 V_nibble2) (tptp.c_List_Ochar_OChar V_nibble1_H V_nibble2_H))) (= V_nibble2 V_nibble2_H))))
% 115.17/115.49  (assume a82 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)) tptp.c_0)) (= V_xs tptp.c_List_Olist_ONil))))
% 115.17/115.49  (assume a83 (forall ((T_a $$unsorted)) (= (tptp.c_Nat_Osize tptp.c_List_Olist_ONil (tptp.tc_List_Olist T_a)) tptp.c_0)))
% 115.17/115.49  (assume a84 (forall ((T_a $$unsorted)) (not (tptp.c_less tptp.c_0 (tptp.c_Nat_Osize tptp.c_List_Olist_ONil (tptp.tc_List_Olist T_a)) tptp.tc_nat))))
% 115.17/115.49  (assume a85 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.c_less tptp.c_0 (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)) tptp.tc_nat) (= V_xs tptp.c_List_Olist_ONil))))
% 115.17/115.49  (assume a86 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Nat_Osize (tptp.c_List_Oremdups V_xs T_a) (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)))) (= (tptp.c_List_Oremdups V_xs T_a) V_xs))))
% 115.17/115.49  (assume a87 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Oremdups V_xs T_a) V_xs)) (= (tptp.c_Nat_Osize (tptp.c_List_Oremdups V_xs T_a) (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a))))))
% 115.17/115.49  (assume a88 (forall ((V_a_H $$unsorted) (V_list_H $$unsorted) (T_a $$unsorted)) (not (= tptp.c_List_Olist_ONil (tptp.c_List_Olist_OCons V_a_H V_list_H T_a)))))
% 115.17/115.49  (assume a89 (forall ((V_a_H $$unsorted) (V_list_H $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_List_Olist_OCons V_a_H V_list_H T_a) tptp.c_List_Olist_ONil))))
% 115.17/115.49  (assume a90 (forall ((V_a $$unsorted) (V_list $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_list_H $$unsorted)) (or (not (= (tptp.c_List_Olist_OCons V_a V_list T_a) (tptp.c_List_Olist_OCons V_a_H V_list_H T_a))) (= V_a V_a_H))))
% 115.17/115.49  (assume a91 (forall ((V_a $$unsorted) (V_list $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_list_H $$unsorted)) (or (not (= (tptp.c_List_Olist_OCons V_a V_list T_a) (tptp.c_List_Olist_OCons V_a_H V_list_H T_a))) (= V_list V_list_H))))
% 115.17/115.49  (assume a92 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_ys $$unsorted)) (or (not (= (tptp.c_List_Orev V_xs T_a) (tptp.c_List_Olist_OCons V_y V_ys T_a))) (= V_xs (tptp.c_append (tptp.c_List_Orev V_ys T_a) (tptp.c_List_Olist_OCons V_y tptp.c_List_Olist_ONil T_a) T_a)))))
% 115.17/115.49  (assume a93 (forall ((V_ys $$unsorted) (T_a $$unsorted) (V_y $$unsorted)) (= (tptp.c_List_Orev (tptp.c_append (tptp.c_List_Orev V_ys T_a) (tptp.c_List_Olist_OCons V_y tptp.c_List_Olist_ONil T_a) T_a) T_a) (tptp.c_List_Olist_OCons V_y V_ys T_a))))
% 115.17/115.49  (assume a94 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Orev V_xs T_a) tptp.c_List_Olist_ONil)) (= V_xs tptp.c_List_Olist_ONil))))
% 115.17/115.49  (assume a95 (forall ((T_a $$unsorted)) (= (tptp.c_List_Orev tptp.c_List_Olist_ONil T_a) tptp.c_List_Olist_ONil)))
% 115.17/115.49  (assume a96 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted)) (or (not (= (tptp.c_List_Orev V_xs T_a) (tptp.c_List_Orev V_ys T_a))) (= V_xs V_ys))))
% 115.17/115.49  (assume a97 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_zs $$unsorted)) (or (not (= (tptp.c_append V_xs V_ys T_a) (tptp.c_append V_xs V_zs T_a))) (= V_ys V_zs))))
% 115.17/115.49  (assume a98 (forall ((V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (not (= V_ys (tptp.c_append V_xs V_ys T_a))) (= V_xs tptp.c_List_Olist_ONil))))
% 115.17/115.49  (assume a99 (forall ((V_ys $$unsorted) (T_a $$unsorted)) (= V_ys (tptp.c_append tptp.c_List_Olist_ONil V_ys T_a))))
% 115.17/115.49  (assume a100 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= V_xs (tptp.c_append V_xs V_ys T_a))) (= V_ys tptp.c_List_Olist_ONil))))
% 115.17/115.49  (assume a101 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= V_xs (tptp.c_append V_xs tptp.c_List_Olist_ONil T_a))))
% 115.17/115.49  (assume a102 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (not (= tptp.c_emptyset (tptp.c_List_Oset V_xs T_a))) (= V_xs tptp.c_List_Olist_ONil))))
% 115.17/115.49  (assume a103 (forall ((T_a $$unsorted)) (= tptp.c_emptyset (tptp.c_List_Oset tptp.c_List_Olist_ONil T_a))))
% 115.17/115.49  (assume a104 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Oset V_xs T_a) tptp.c_emptyset)) (= V_xs tptp.c_List_Olist_ONil))))
% 115.17/115.49  (assume a105 (forall ((T_a $$unsorted)) (= (tptp.c_List_Oset tptp.c_List_Olist_ONil T_a) tptp.c_emptyset)))
% 115.17/115.49  (assume a106 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_Suc V_m) (tptp.c_Suc V_n))) (= V_m V_n))))
% 115.17/115.49  (assume a107 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_Suc V_n) (tptp.c_Suc V_m) tptp.tc_nat)) (tptp.c_lessequals V_n V_m tptp.tc_nat))))
% 115.17/115.49  (assume a108 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (not (tptp.c_lessequals V_n V_m tptp.tc_nat)) (tptp.c_lessequals (tptp.c_Suc V_n) (tptp.c_Suc V_m) tptp.tc_nat))))
% 115.17/115.49  (assume a109 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_less (tptp.c_Suc V_m) (tptp.c_Suc V_n) tptp.tc_nat)) (tptp.c_less V_m V_n tptp.tc_nat))))
% 115.17/115.49  (assume a110 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_less V_m V_n tptp.tc_nat)) (tptp.c_less (tptp.c_Suc V_m) (tptp.c_Suc V_n) tptp.tc_nat))))
% 115.17/115.49  (assume a111 (forall ((V_m $$unsorted)) (not (= (tptp.c_Suc V_m) tptp.c_0))))
% 115.17/115.49  (assume a112 (forall ((V_m $$unsorted)) (not (= tptp.c_0 (tptp.c_Suc V_m)))))
% 115.17/115.49  (assume a113 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_less tptp.c_0 (tptp.c_plus V_m V_n tptp.tc_nat) tptp.tc_nat)) (tptp.c_less tptp.c_0 V_n tptp.tc_nat) (tptp.c_less tptp.c_0 V_m tptp.tc_nat))))
% 115.17/115.49  (assume a114 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.c_less tptp.c_0 V_m tptp.tc_nat)) (tptp.c_less tptp.c_0 (tptp.c_plus V_m V_n tptp.tc_nat) tptp.tc_nat))))
% 115.17/115.49  (assume a115 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (not (tptp.c_less tptp.c_0 V_n tptp.tc_nat)) (tptp.c_less tptp.c_0 (tptp.c_plus V_m V_n tptp.tc_nat) tptp.tc_nat))))
% 115.17/115.49  (assume a116 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_plus V_m V_n tptp.tc_nat) tptp.c_0)) (= V_m tptp.c_0))))
% 115.17/115.49  (assume a117 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_plus V_m V_n tptp.tc_nat) tptp.c_0)) (= V_n tptp.c_0))))
% 115.17/115.49  (assume a118 (= (tptp.c_plus tptp.c_0 tptp.c_0 tptp.tc_nat) tptp.c_0))
% 115.17/115.49  (assume a119 (forall ((V_i $$unsorted)) (or (not (tptp.c_lessequals V_i tptp.c_0 tptp.tc_nat)) (= V_i tptp.c_0))))
% 115.17/115.49  (assume a120 (tptp.c_lessequals tptp.c_0 tptp.c_0 tptp.tc_nat))
% 115.17/115.49  (assume a121 (forall ((V_n $$unsorted)) (or (not (tptp.c_less V_n (tptp.c_Suc tptp.c_0) tptp.tc_nat)) (= V_n tptp.c_0))))
% 115.17/115.49  (assume a122 (tptp.c_less tptp.c_0 (tptp.c_Suc tptp.c_0) tptp.tc_nat))
% 115.17/115.49  (assume a123 (forall ((V_n $$unsorted)) (or (not (tptp.c_less V_n tptp.c_1 tptp.tc_nat)) (= V_n tptp.c_0))))
% 115.17/115.49  (assume a124 (tptp.c_less tptp.c_0 tptp.c_1 tptp.tc_nat))
% 115.17/115.49  (assume a125 (forall ((V_n $$unsorted)) (or (tptp.c_less tptp.c_0 V_n tptp.tc_nat) (= V_n tptp.c_0))))
% 115.17/115.49  (assume a126 (not (tptp.c_less tptp.c_0 tptp.c_0 tptp.tc_nat)))
% 115.17/115.49  (assume a127 (forall ((V_i $$unsorted) (V_j $$unsorted)) (not (tptp.c_less (tptp.c_plus V_i V_j tptp.tc_nat) V_i tptp.tc_nat))))
% 115.17/115.49  (assume a128 (forall ((V_j $$unsorted) (V_i $$unsorted)) (not (tptp.c_less (tptp.c_plus V_j V_i tptp.tc_nat) V_i tptp.tc_nat))))
% 115.17/115.49  (assume a129 (forall ((V_n $$unsorted)) (not (tptp.c_less V_n tptp.c_0 tptp.tc_nat))))
% 115.17/115.49  (assume a130 (not (= tptp.c_Numeral_Obit_OB0 tptp.c_Numeral_Obit_OB1)))
% 115.17/115.49  (assume a131 (not (= tptp.c_Numeral_Obit_OB1 tptp.c_Numeral_Obit_OB0)))
% 115.17/115.49  (assume a132 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_less V_x V_x T_a)))))
% 115.17/115.49  (assume a133 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a_H $$unsorted) (V_b_H $$unsorted)) (or (not (= (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Pair V_a_H V_b_H T_a T_b))) (= V_a V_a_H))))
% 115.17/115.49  (assume a134 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a_H $$unsorted) (V_b_H $$unsorted)) (or (not (= (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Pair V_a_H V_b_H T_a T_b))) (= V_b V_b_H))))
% 115.17/115.49  (assume a135 (forall ((V_a $$unsorted) (T_a $$unsorted)) (tptp.c_in (tptp.c_Pair V_a V_a T_a T_a) tptp.c_Relation_OId (tptp.tc_prod T_a T_a))))
% 115.17/115.49  (assume a136 (forall ((V_b $$unsorted) (V_r $$unsorted) (V_a $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_b (tptp.c_Relation_OImage V_r (tptp.c_insert V_a tptp.c_emptyset T_b) T_b T_a) T_a)) (tptp.c_in (tptp.c_Pair V_a V_b T_b T_a) V_r (tptp.tc_prod T_b T_a)))))
% 115.17/115.49  (assume a137 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_a V_b T_b T_a) V_r (tptp.tc_prod T_b T_a))) (tptp.c_in V_b (tptp.c_Relation_OImage V_r (tptp.c_insert V_a tptp.c_emptyset T_b) T_b T_a) T_a))))
% 115.17/115.49  (assume a138 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Relation_Oconverse V_r T_b T_a) (tptp.tc_prod T_a T_b))) (tptp.c_in (tptp.c_Pair V_b V_a T_b T_a) V_r (tptp.tc_prod T_b T_a)))))
% 115.17/115.49  (assume a139 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_b V_a T_b T_a) V_r (tptp.tc_prod T_b T_a))) (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) (tptp.c_Relation_Oconverse V_r T_b T_a) (tptp.tc_prod T_a T_b)))))
% 115.17/115.49  (assume a140 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) tptp.c_Relation_OId (tptp.tc_prod T_a T_a))) (= V_a V_b))))
% 115.17/115.49  (assume a141 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (= (tptp.c_SetInterval_OatLeast V_x T_a) (tptp.c_SetInterval_OatLeast V_y T_a))) (= V_x V_y))))
% 115.17/115.49  (assume a142 (forall ((T_a $$unsorted) (V_i $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_Orderings_Oord T_a)) (not (tptp.c_in V_i (tptp.c_SetInterval_OatLeast V_k T_a) T_a)) (tptp.c_lessequals V_k V_i T_a))))
% 115.17/115.49  (assume a143 (forall ((T_a $$unsorted) (V_k $$unsorted) (V_i $$unsorted)) (or (not (tptp.class_Orderings_Oord T_a)) (not (tptp.c_lessequals V_k V_i T_a)) (tptp.c_in V_i (tptp.c_SetInterval_OatLeast V_k T_a) T_a))))
% 115.17/115.49  (assume a144 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals (tptp.c_SetInterval_OatLeast V_x T_a) (tptp.c_SetInterval_OatLeast V_y T_a) (tptp.tc_set T_a))) (tptp.c_lessequals V_y V_x T_a))))
% 115.17/115.49  (assume a145 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_x T_a)) (tptp.c_lessequals (tptp.c_SetInterval_OatLeast V_x T_a) (tptp.c_SetInterval_OatLeast V_y T_a) (tptp.tc_set T_a)))))
% 115.17/115.49  (assume a146 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (= (tptp.c_SetInterval_OatMost V_x T_a) (tptp.c_SetInterval_OatMost V_y T_a))) (= V_x V_y))))
% 115.17/115.49  (assume a147 (forall ((T_a $$unsorted) (V_i $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_Orderings_Oord T_a)) (not (tptp.c_in V_i (tptp.c_SetInterval_OatMost V_k T_a) T_a)) (tptp.c_lessequals V_i V_k T_a))))
% 115.17/115.49  (assume a148 (forall ((T_a $$unsorted) (V_i $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_Orderings_Oord T_a)) (not (tptp.c_lessequals V_i V_k T_a)) (tptp.c_in V_i (tptp.c_SetInterval_OatMost V_k T_a) T_a))))
% 115.17/115.49  (assume a149 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals (tptp.c_SetInterval_OatMost V_x T_a) (tptp.c_SetInterval_OatMost V_y T_a) (tptp.tc_set T_a))) (tptp.c_lessequals V_x V_y T_a))))
% 115.17/115.49  (assume a150 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals (tptp.c_SetInterval_OatMost V_x T_a) (tptp.c_SetInterval_OatMost V_y T_a) (tptp.tc_set T_a)))))
% 115.17/115.49  (assume a151 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (= (tptp.c_SetInterval_OgreaterThan V_x T_a) (tptp.c_SetInterval_OgreaterThan V_y T_a))) (= V_x V_y))))
% 115.17/115.49  (assume a152 (forall ((T_a $$unsorted) (V_i $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_Orderings_Oord T_a)) (not (tptp.c_in V_i (tptp.c_SetInterval_OgreaterThan V_k T_a) T_a)) (tptp.c_less V_k V_i T_a))))
% 115.17/115.49  (assume a153 (forall ((T_a $$unsorted) (V_k $$unsorted) (V_i $$unsorted)) (or (not (tptp.class_Orderings_Oord T_a)) (not (tptp.c_less V_k V_i T_a)) (tptp.c_in V_i (tptp.c_SetInterval_OgreaterThan V_k T_a) T_a))))
% 115.17/115.49  (assume a154 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_lessequals (tptp.c_SetInterval_OgreaterThan V_x T_a) (tptp.c_SetInterval_OgreaterThan V_y T_a) (tptp.tc_set T_a))) (tptp.c_lessequals V_y V_x T_a))))
% 115.17/115.49  (assume a155 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_lessequals V_y V_x T_a)) (tptp.c_lessequals (tptp.c_SetInterval_OgreaterThan V_x T_a) (tptp.c_SetInterval_OgreaterThan V_y T_a) (tptp.tc_set T_a)))))
% 115.17/115.49  (assume a156 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (= (tptp.c_SetInterval_OlessThan V_x T_a) (tptp.c_SetInterval_OlessThan V_y T_a))) (= V_x V_y))))
% 115.17/115.49  (assume a157 (forall ((T_a $$unsorted) (V_i $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_Orderings_Oord T_a)) (not (tptp.c_in V_i (tptp.c_SetInterval_OlessThan V_k T_a) T_a)) (tptp.c_less V_i V_k T_a))))
% 115.17/115.49  (assume a158 (forall ((T_a $$unsorted) (V_i $$unsorted) (V_k $$unsorted)) (or (not (tptp.class_Orderings_Oord T_a)) (not (tptp.c_less V_i V_k T_a)) (tptp.c_in V_i (tptp.c_SetInterval_OlessThan V_k T_a) T_a))))
% 115.17/115.49  (assume a159 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_lessequals (tptp.c_SetInterval_OlessThan V_x T_a) (tptp.c_SetInterval_OlessThan V_y T_a) (tptp.tc_set T_a))) (tptp.c_lessequals V_x V_y T_a))))
% 115.17/115.49  (assume a160 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals (tptp.c_SetInterval_OlessThan V_x T_a) (tptp.c_SetInterval_OlessThan V_y T_a) (tptp.tc_set T_a)))))
% 115.17/115.49  (assume a161 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (not (tptp.c_in V_c (tptp.c_uminus V_A (tptp.tc_set T_a)) T_a)))))
% 115.17/115.49  (assume a162 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_c V_A T_a) (tptp.c_in V_c (tptp.c_uminus V_A (tptp.tc_set T_a)) T_a))))
% 115.17/115.49  (assume a163 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (= (tptp.c_uminus V_A (tptp.tc_set T_a)) (tptp.c_uminus V_B (tptp.tc_set T_a)))) (= V_A V_B))))
% 115.17/115.49  (assume a164 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_lessequals (tptp.c_uminus V_A (tptp.tc_set T_a)) (tptp.c_uminus V_B (tptp.tc_set T_a)) (tptp.tc_set T_a))) (tptp.c_lessequals V_B V_A (tptp.tc_set T_a)))))
% 115.17/115.49  (assume a165 (forall ((V_B $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals V_B V_A (tptp.tc_set T_a))) (tptp.c_lessequals (tptp.c_uminus V_A (tptp.tc_set T_a)) (tptp.c_uminus V_B (tptp.tc_set T_a)) (tptp.tc_set T_a)))))
% 115.17/115.49  (assume a166 (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_c V_B T_a)) (not (tptp.c_in V_c (tptp.c_minus V_A V_B (tptp.tc_set T_a)) T_a)))))
% 115.17/115.49  (assume a167 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_minus V_A V_B (tptp.tc_set T_a)) T_a)) (tptp.c_in V_c V_A T_a))))
% 115.17/115.49  (assume a168 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (tptp.c_in V_c V_B T_a) (tptp.c_in V_c (tptp.c_minus V_A V_B (tptp.tc_set T_a)) T_a))))
% 115.17/115.49  (assume a169 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_inter V_A V_B T_a) T_a)) (tptp.c_in V_c V_B T_a))))
% 115.17/115.49  (assume a170 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_inter V_A V_B T_a) T_a)) (tptp.c_in V_c V_A T_a))))
% 115.17/115.49  (assume a171 (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_c V_B T_a)) (not (tptp.c_in V_c V_A T_a)) (tptp.c_in V_c (tptp.c_inter V_A V_B T_a) T_a))))
% 115.17/115.49  (assume a172 (forall ((V_X $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_X V_C (tptp.tc_set T_a))) (not (tptp.c_in V_A (tptp.c_Inter V_C T_a) T_a)) (tptp.c_in V_A V_X T_a))))
% 115.17/115.49  (assume a173 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_A (tptp.c_Pow V_B T_a) (tptp.tc_set T_a))) (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)))))
% 115.17/115.49  (assume a174 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals V_A V_B (tptp.tc_set T_a))) (tptp.c_in V_A (tptp.c_Pow V_B T_a) (tptp.tc_set T_a)))))
% 115.17/115.49  (assume a175 (not (= tptp.c_UNIV tptp.c_emptyset)))
% 115.17/115.49  (assume a176 (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_c V_B T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a))))
% 115.17/115.49  (assume a177 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a))))
% 115.17/115.49  (assume a178 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)) (tptp.c_in V_c V_B T_a) (tptp.c_in V_c V_A T_a))))
% 115.17/115.49  (assume a179 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_union V_A V_B T_a) tptp.c_emptyset)) (= V_A tptp.c_emptyset))))
% 115.17/115.49  (assume a180 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_union V_A V_B T_a) tptp.c_emptyset)) (= V_B tptp.c_emptyset))))
% 115.17/115.49  (assume a181 (forall ((T_a $$unsorted)) (= (tptp.c_union tptp.c_emptyset tptp.c_emptyset T_a) tptp.c_emptyset)))
% 115.17/115.49  (assume a182 (forall ((V_A $$unsorted) (V_X $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (not (tptp.c_in V_A V_X T_a)) (not (tptp.c_in V_X V_C (tptp.tc_set T_a))) (tptp.c_in V_A (tptp.c_Union V_C T_a) T_a))))
% 115.17/115.49  (assume a183 (forall ((V_a $$unsorted) (T_a $$unsorted)) (not (tptp.c_in V_a tptp.c_emptyset T_a))))
% 115.17/115.49  (assume a184 (forall ((V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.c_in V_a V_B T_a)) (tptp.c_in V_a (tptp.c_insert V_b V_B T_a) T_a))))
% 115.17/115.49  (assume a185 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (tptp.c_in V_x (tptp.c_insert V_x V_B T_a) T_a)))
% 115.17/115.49  (assume a186 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_a (tptp.c_insert V_b V_A T_a) T_a)) (tptp.c_in V_a V_A T_a) (= V_a V_b))))
% 115.17/115.49  (assume a187 (forall ((V_A $$unsorted) (T_a $$unsorted)) (not (tptp.c_less V_A tptp.c_emptyset (tptp.tc_set T_a)))))
% 115.17/115.49  (assume a188 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_b $$unsorted)) (or (not (= (tptp.c_insert V_a V_A T_a) (tptp.c_insert V_b tptp.c_emptyset T_a))) (= V_a V_b))))
% 115.17/115.49  (assume a189 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_b $$unsorted)) (or (not (= (tptp.c_insert V_a V_A T_a) (tptp.c_insert V_b tptp.c_emptyset T_a))) (tptp.c_lessequals V_A (tptp.c_insert V_b tptp.c_emptyset T_a) (tptp.tc_set T_a)))))
% 115.17/115.49  (assume a190 (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals V_A (tptp.c_insert V_x tptp.c_emptyset T_a) (tptp.tc_set T_a))) (= (tptp.c_insert V_x V_A T_a) (tptp.c_insert V_x tptp.c_emptyset T_a)))))
% 115.17/115.49  (assume a191 (forall ((V_b $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_A $$unsorted)) (or (not (= (tptp.c_insert V_b tptp.c_emptyset T_a) (tptp.c_insert V_a V_A T_a))) (= V_a V_b))))
% 115.17/115.49  (assume a192 (forall ((V_b $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_A $$unsorted)) (or (not (= (tptp.c_insert V_b tptp.c_emptyset T_a) (tptp.c_insert V_a V_A T_a))) (tptp.c_lessequals V_A (tptp.c_insert V_b tptp.c_emptyset T_a) (tptp.tc_set T_a)))))
% 115.17/115.49  (assume a193 (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals V_A (tptp.c_insert V_x tptp.c_emptyset T_a) (tptp.tc_set T_a))) (= (tptp.c_insert V_x tptp.c_emptyset T_a) (tptp.c_insert V_x V_A T_a)))))
% 115.17/115.49  (assume a194 (forall ((V_x $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_Sum__Type_OInl V_x T_a T_b) (tptp.c_Sum__Type_OInl V_y T_a T_b))) (= V_x V_y))))
% 115.17/115.49  (assume a195 (forall ((V_a $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_b $$unsorted)) (not (= (tptp.c_Sum__Type_OInl V_a T_a T_b) (tptp.c_Sum__Type_OInr V_b T_b T_a)))))
% 115.17/115.49  (assume a196 (forall ((V_x $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_Sum__Type_OInr V_x T_b T_a) (tptp.c_Sum__Type_OInr V_y T_b T_a))) (= V_x V_y))))
% 115.17/115.49  (assume a197 (forall ((V_b $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (not (= (tptp.c_Sum__Type_OInr V_b T_b T_a) (tptp.c_Sum__Type_OInl V_a T_a T_b)))))
% 115.17/115.49  (assume a198 (forall ((V_r $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_Wellfounded__Recursion_Oacyclic (tptp.c_Relation_Oconverse V_r T_a T_a) T_a)) (tptp.c_Wellfounded__Recursion_Oacyclic V_r T_a))))
% 115.17/115.49  (assume a199 (forall ((V_r $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_Wellfounded__Recursion_Oacyclic V_r T_a)) (tptp.c_Wellfounded__Recursion_Oacyclic (tptp.c_Relation_Oconverse V_r T_a T_a) T_a))))
% 115.17/115.49  (assume a200 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_Wellfounded__Recursion_Oacyclic (tptp.c_insert (tptp.c_Pair V_y V_x T_a T_a) V_r (tptp.tc_prod T_a T_a)) T_a)) (tptp.c_Wellfounded__Recursion_Oacyclic V_r T_a))))
% 115.17/115.49  (assume a201 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_Wellfounded__Recursion_Oacyclic (tptp.c_insert (tptp.c_Pair V_y V_x T_a T_a) V_r (tptp.tc_prod T_a T_a)) T_a)) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a))))))
% 115.17/115.49  (assume a202 (forall ((V_r $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.c_Wellfounded__Recursion_Oacyclic V_r T_a)) (tptp.c_Wellfounded__Recursion_Oacyclic (tptp.c_insert (tptp.c_Pair V_y V_x T_a T_a) V_r (tptp.tc_prod T_a T_a)) T_a) (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a)))))
% 115.17/115.49  (assume a203 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_Wellfounded__Recursion_Owf (tptp.c_insert (tptp.c_Pair V_y V_x T_a T_a) V_r (tptp.tc_prod T_a T_a)) T_a)) (tptp.c_Wellfounded__Recursion_Owf V_r T_a))))
% 115.17/115.49  (assume a204 (forall ((V_y $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_Wellfounded__Recursion_Owf (tptp.c_insert (tptp.c_Pair V_y V_x T_a T_a) V_r (tptp.tc_prod T_a T_a)) T_a)) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a))))))
% 115.17/115.49  (assume a205 (forall ((V_r $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.c_Wellfounded__Recursion_Owf V_r T_a)) (tptp.c_Wellfounded__Recursion_Owf (tptp.c_insert (tptp.c_Pair V_y V_x T_a T_a) V_r (tptp.tc_prod T_a T_a)) T_a) (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a)))))
% 115.17/115.49  (assume a206 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_nat tptp.tc_nat) tptp.c_Wellfounded__Relations_Oless__than (tptp.tc_prod tptp.tc_nat tptp.tc_nat))) (tptp.c_less V_x V_y tptp.tc_nat))))
% 115.17/115.49  (assume a207 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.c_less V_x V_y tptp.tc_nat)) (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_nat tptp.tc_nat) tptp.c_Wellfounded__Relations_Oless__than (tptp.tc_prod tptp.tc_nat tptp.tc_nat)))))
% 115.17/115.49  (assume a208 (forall ((V_x $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_Datatype__Universe_OLeaf V_x T_a T_b) (tptp.c_Datatype__Universe_OLeaf V_y T_a T_b))) (= V_x V_y))))
% 115.17/115.49  (assume a209 (forall ((V_x $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_Datatype__Universe_ONumb V_x T_a T_b) (tptp.c_Datatype__Universe_ONumb V_y T_a T_b))) (= V_x V_y))))
% 115.17/115.49  (assume a210 (forall ((V_c $$unsorted) (V_r $$unsorted) (V_s $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Datatype__Universe_Odprod V_r V_s T_a T_b) (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))))) (= V_c (tptp.c_Pair (tptp.c_Datatype__Universe_OScons (tptp.c_Main_OdprodE__1 V_c V_r V_s T_a T_b) (tptp.c_Main_OdprodE__2 V_c V_r V_s T_a T_b) T_a T_b) (tptp.c_Datatype__Universe_OScons (tptp.c_Main_OdprodE__3 V_c V_r V_s T_a T_b) (tptp.c_Main_OdprodE__4 V_c V_r V_s T_a T_b) T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))))))
% 115.17/115.49  (assume a211 (forall ((V_c $$unsorted) (V_r $$unsorted) (V_s $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Datatype__Universe_Odprod V_r V_s T_a T_b) (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))))) (tptp.c_in (tptp.c_Pair (tptp.c_Main_OdprodE__2 V_c V_r V_s T_a T_b) (tptp.c_Main_OdprodE__4 V_c V_r V_s T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) V_s (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))))))
% 115.17/115.49  (assume a212 (forall ((V_c $$unsorted) (V_r $$unsorted) (V_s $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Datatype__Universe_Odprod V_r V_s T_a T_b) (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))))) (tptp.c_in (tptp.c_Pair (tptp.c_Main_OdprodE__1 V_c V_r V_s T_a T_b) (tptp.c_Main_OdprodE__3 V_c V_r V_s T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) V_r (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))))))
% 115.17/115.49  (assume a213 (forall ((V_N $$unsorted) (V_N_H $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_s $$unsorted) (V_M $$unsorted) (V_M_H $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_N V_N_H (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) V_s (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))))) (not (tptp.c_in (tptp.c_Pair V_M V_M_H (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) V_r (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))))) (tptp.c_in (tptp.c_Pair (tptp.c_Datatype__Universe_OScons V_M V_N T_a T_b) (tptp.c_Datatype__Universe_OScons V_M_H V_N_H T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) (tptp.c_Datatype__Universe_Odprod V_r V_s T_a T_b) (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))))))
% 115.17/115.49  (assume a214 (forall ((V_w $$unsorted) (V_r $$unsorted) (V_s $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_w (tptp.c_Datatype__Universe_Odsum V_r V_s T_a T_b) (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))))) (= V_w (tptp.c_Pair (tptp.c_Datatype__Universe_OIn0 (tptp.c_Main_OdsumE__1 V_r V_w T_a T_b) T_a T_b) (tptp.c_Datatype__Universe_OIn0 (tptp.c_Main_OdsumE__2 V_r V_w T_a T_b) T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))) (= V_w (tptp.c_Pair (tptp.c_Datatype__Universe_OIn1 (tptp.c_Main_OdsumE__3 V_s V_w T_a T_b) T_a T_b) (tptp.c_Datatype__Universe_OIn1 (tptp.c_Main_OdsumE__4 V_s V_w T_a T_b) T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))))))
% 115.17/115.49  (assume a215 (forall ((V_w $$unsorted) (V_r $$unsorted) (V_s $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_w (tptp.c_Datatype__Universe_Odsum V_r V_s T_a T_b) (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))))) (tptp.c_in (tptp.c_Pair (tptp.c_Main_OdsumE__3 V_s V_w T_a T_b) (tptp.c_Main_OdsumE__4 V_s V_w T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) V_s (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))) (= V_w (tptp.c_Pair (tptp.c_Datatype__Universe_OIn0 (tptp.c_Main_OdsumE__1 V_r V_w T_a T_b) T_a T_b) (tptp.c_Datatype__Universe_OIn0 (tptp.c_Main_OdsumE__2 V_r V_w T_a T_b) T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))))))
% 115.17/115.49  (assume a216 (forall ((V_w $$unsorted) (V_r $$unsorted) (V_s $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_w (tptp.c_Datatype__Universe_Odsum V_r V_s T_a T_b) (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))))) (tptp.c_in (tptp.c_Pair (tptp.c_Main_OdsumE__1 V_r V_w T_a T_b) (tptp.c_Main_OdsumE__2 V_r V_w T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) V_r (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))) (= V_w (tptp.c_Pair (tptp.c_Datatype__Universe_OIn1 (tptp.c_Main_OdsumE__3 V_s V_w T_a T_b) T_a T_b) (tptp.c_Datatype__Universe_OIn1 (tptp.c_Main_OdsumE__4 V_s V_w T_a T_b) T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))))))
% 115.17/115.49  (assume a217 (forall ((V_w $$unsorted) (V_r $$unsorted) (V_s $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_w (tptp.c_Datatype__Universe_Odsum V_r V_s T_a T_b) (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))))) (tptp.c_in (tptp.c_Pair (tptp.c_Main_OdsumE__1 V_r V_w T_a T_b) (tptp.c_Main_OdsumE__2 V_r V_w T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) V_r (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))) (tptp.c_in (tptp.c_Pair (tptp.c_Main_OdsumE__3 V_s V_w T_a T_b) (tptp.c_Main_OdsumE__4 V_s V_w T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) V_s (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))))))
% 115.17/115.49  (assume a218 (forall ((V_M $$unsorted) (V_M_H $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_r $$unsorted) (V_s $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_M V_M_H (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) V_r (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))))) (tptp.c_in (tptp.c_Pair (tptp.c_Datatype__Universe_OIn0 V_M T_a T_b) (tptp.c_Datatype__Universe_OIn0 V_M_H T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) (tptp.c_Datatype__Universe_Odsum V_r V_s T_a T_b) (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))))))
% 115.17/115.49  (assume a219 (forall ((V_N $$unsorted) (V_N_H $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_s $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_N V_N_H (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) V_s (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))))) (tptp.c_in (tptp.c_Pair (tptp.c_Datatype__Universe_OIn1 V_N T_a T_b) (tptp.c_Datatype__Universe_OIn1 V_N_H T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) (tptp.c_Datatype__Universe_Odsum V_r V_s T_a T_b) (tptp.tc_prod (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))))))
% 115.17/115.49  (assume a220 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Datatype__Universe_Ouprod V_A V_B T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))) (= V_c (tptp.c_Datatype__Universe_OScons (tptp.c_Main_OuprodE__1 V_A V_B V_c T_a T_b) (tptp.c_Main_OuprodE__2 V_A V_B V_c T_a T_b) T_a T_b)))))
% 115.17/115.49  (assume a221 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Datatype__Universe_Ouprod V_A V_B T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))) (tptp.c_in (tptp.c_Main_OuprodE__2 V_A V_B V_c T_a T_b) V_B (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))))))
% 115.17/115.49  (assume a222 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Datatype__Universe_Ouprod V_A V_B T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))) (tptp.c_in (tptp.c_Main_OuprodE__1 V_A V_B V_c T_a T_b) V_A (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))))))
% 115.17/115.49  (assume a223 (forall ((V_N $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_M $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_N V_B (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))) (not (tptp.c_in V_M V_A (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))) (tptp.c_in (tptp.c_Datatype__Universe_OScons V_M V_N T_a T_b) (tptp.c_Datatype__Universe_Ouprod V_A V_B T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))))))
% 115.17/115.49  (assume a224 (forall ((V_u $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_u (tptp.c_Datatype__Universe_Ousum V_A V_B T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))) (= V_u (tptp.c_Datatype__Universe_OIn0 (tptp.c_Main_OusumE__1 V_A V_u T_a T_b) T_a T_b)) (= V_u (tptp.c_Datatype__Universe_OIn1 (tptp.c_Main_OusumE__2 V_B V_u T_a T_b) T_a T_b)))))
% 115.17/115.49  (assume a225 (forall ((V_u $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_u (tptp.c_Datatype__Universe_Ousum V_A V_B T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))) (tptp.c_in (tptp.c_Main_OusumE__2 V_B V_u T_a T_b) V_B (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) (= V_u (tptp.c_Datatype__Universe_OIn0 (tptp.c_Main_OusumE__1 V_A V_u T_a T_b) T_a T_b)))))
% 115.17/115.49  (assume a226 (forall ((V_u $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_u (tptp.c_Datatype__Universe_Ousum V_A V_B T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))) (tptp.c_in (tptp.c_Main_OusumE__1 V_A V_u T_a T_b) V_A (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) (= V_u (tptp.c_Datatype__Universe_OIn1 (tptp.c_Main_OusumE__2 V_B V_u T_a T_b) T_a T_b)))))
% 115.17/115.49  (assume a227 (forall ((V_u $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_u (tptp.c_Datatype__Universe_Ousum V_A V_B T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))) (tptp.c_in (tptp.c_Main_OusumE__1 V_A V_u T_a T_b) V_A (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))) (tptp.c_in (tptp.c_Main_OusumE__2 V_B V_u T_a T_b) V_B (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))))))
% 115.17/115.49  (assume a228 (forall ((V_M $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_M V_A (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))) (tptp.c_in (tptp.c_Datatype__Universe_OIn0 V_M T_a T_b) (tptp.c_Datatype__Universe_Ousum V_A V_B T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))))))
% 115.17/115.49  (assume a229 (forall ((V_N $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_N V_B (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b)))) (tptp.c_in (tptp.c_Datatype__Universe_OIn1 V_N T_a T_b) (tptp.c_Datatype__Universe_Ousum V_A V_B T_a T_b) (tptp.tc_set (tptp.tc_Datatype__Universe_Onode T_a T_b))))))
% 115.17/115.49  (assume a230 (forall ((V_m $$unsorted)) (tptp.c_Divides_Oop_Advd V_m tptp.c_0 tptp.tc_nat)))
% 115.17/115.49  (assume a231 (forall ((V_k $$unsorted)) (tptp.c_Divides_Oop_Advd (tptp.c_Suc tptp.c_0) V_k tptp.tc_nat)))
% 115.17/115.49  (assume a232 (forall ((V_k $$unsorted) (V_m $$unsorted)) (tptp.c_Divides_Oop_Advd V_k (tptp.c_times V_k V_m tptp.tc_nat) tptp.tc_nat)))
% 115.17/115.49  (assume a233 (forall ((V_k $$unsorted) (V_m $$unsorted)) (tptp.c_Divides_Oop_Advd V_k (tptp.c_times V_m V_k tptp.tc_nat) tptp.tc_nat)))
% 115.17/115.49  (assume a234 (forall ((V_m $$unsorted) (V_d $$unsorted)) (or (not (= (tptp.c_Divides_Oop_Amod V_m V_d tptp.tc_nat) tptp.c_0)) (= V_m (tptp.c_times V_d (tptp.c_Main_Omod__eq__0D__dest__1 V_d V_m) tptp.tc_nat)))))
% 115.17/115.49  (assume a235 (forall ((T_a $$unsorted)) (tptp.c_in tptp.c_emptyset tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))))
% 115.17/115.49  (assume a236 (forall ((V_A $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.c_in V_A tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (tptp.c_in (tptp.c_insert V_a V_A T_a) tptp.c_Finite__Set_OFinites (tptp.tc_set T_a)))))
% 115.17/115.49  (assume a237 (forall ((V_F $$unsorted) (T_a $$unsorted) (V_G $$unsorted)) (or (not (tptp.c_in V_F tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (tptp.c_in (tptp.c_inter V_F V_G T_a) tptp.c_Finite__Set_OFinites (tptp.tc_set T_a)))))
% 115.17/115.49  (assume a238 (forall ((V_G $$unsorted) (T_a $$unsorted) (V_F $$unsorted)) (or (not (tptp.c_in V_G tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (tptp.c_in (tptp.c_inter V_F V_G T_a) tptp.c_Finite__Set_OFinites (tptp.tc_set T_a)))))
% 115.17/115.49  (assume a239 (forall ((V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_A tptp.c_Finite__Set_OFinites (tptp.tc_set (tptp.tc_set T_a)))) (tptp.c_in (tptp.c_Main_Ofinite__Union__1 V_A T_a) V_A (tptp.tc_set T_a)) (tptp.c_in (tptp.c_Union V_A T_a) tptp.c_Finite__Set_OFinites (tptp.tc_set T_a)))))
% 115.17/115.49  (assume a240 (forall ((V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_A tptp.c_Finite__Set_OFinites (tptp.tc_set (tptp.tc_set T_a)))) (not (tptp.c_in (tptp.c_Main_Ofinite__Union__1 V_A T_a) tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))) (tptp.c_in (tptp.c_Union V_A T_a) tptp.c_Finite__Set_OFinites (tptp.tc_set T_a)))))
% 115.17/115.49  (assume a241 (forall ((V_m $$unsorted) (V_n $$unsorted)) (tptp.c_Divides_Oop_Advd (tptp.c_GCD_Ogcd (tptp.c_Pair V_m V_n tptp.tc_nat tptp.tc_nat)) V_m tptp.tc_nat)))
% 115.17/115.49  (assume a242 (forall ((V_m $$unsorted) (V_n $$unsorted)) (tptp.c_Divides_Oop_Advd (tptp.c_GCD_Ogcd (tptp.c_Pair V_m V_n tptp.tc_nat tptp.tc_nat)) V_n tptp.tc_nat)))
% 115.17/115.49  (assume a243 (forall ((V_S $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.c_Infinite__Set_Oatmost__one V_S T_a)) (not (tptp.c_in V_y V_S T_a)) (not (tptp.c_in V_x V_S T_a)) (= V_y V_x))))
% 115.17/115.49  (assume a244 (forall ((V_n $$unsorted) (V_m $$unsorted)) (tptp.c_lessequals (tptp.c_uminus (tptp.c_IntDef_Oint V_n) tptp.tc_IntDef_Oint) (tptp.c_IntDef_Oint V_m) tptp.tc_IntDef_Oint)))
% 115.17/115.49  (assume a245 (forall ((V_n $$unsorted) (V_m $$unsorted)) (tptp.c_less (tptp.c_uminus (tptp.c_IntDef_Oint (tptp.c_Suc V_n)) tptp.tc_IntDef_Oint) (tptp.c_IntDef_Oint V_m) tptp.tc_IntDef_Oint)))
% 115.17/115.49  (assume a246 (forall ((V_m $$unsorted)) (tptp.c_Divides_Oop_Advd V_m tptp.c_0 tptp.tc_IntDef_Oint)))
% 115.17/115.49  (assume a247 (forall ((V_m $$unsorted)) (tptp.c_Divides_Oop_Advd tptp.c_1 V_m tptp.tc_IntDef_Oint)))
% 115.17/115.49  (assume a248 (forall ((V_k $$unsorted) (V_m $$unsorted)) (tptp.c_Divides_Oop_Advd V_k (tptp.c_times V_k V_m tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)))
% 115.17/115.49  (assume a249 (forall ((V_k $$unsorted) (V_m $$unsorted)) (tptp.c_Divides_Oop_Advd V_k (tptp.c_times V_m V_k tptp.tc_IntDef_Oint) tptp.tc_IntDef_Oint)))
% 115.17/115.49  (assume a250 (forall ((V_m $$unsorted) (V_d $$unsorted)) (or (not (= (tptp.c_Divides_Oop_Amod V_m V_d tptp.tc_IntDef_Oint) tptp.c_0)) (= V_m (tptp.c_times V_d (tptp.c_Main_Ozmod__eq__0D__dest__1 V_d V_m) tptp.tc_IntDef_Oint)))))
% 115.17/115.49  (assume a251 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (tptp.c_List_Odistinct (tptp.c_List_Oremdups V_xs T_a) T_a)))
% 115.17/115.49  (assume a252 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (tptp.c_in (tptp.c_List_Oset V_xs T_a) tptp.c_Finite__Set_OFinites (tptp.tc_set T_a))))
% 115.17/115.49  (assume a253 (forall ((V_xs $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_U $$unsorted)) (or (not (tptp.c_in V_xs (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a))) (not (tptp.c_in V_U (tptp.c_List_Oset V_xs T_a) T_a)) (tptp.c_in V_U V_A T_a))))
% 115.17/115.49  (assume a254 (forall ((V_xs $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_xs (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a)) (tptp.c_in (tptp.c_Main_Oin__listsI__1 V_A V_xs T_a) (tptp.c_List_Oset V_xs T_a) T_a))))
% 115.17/115.49  (assume a255 (forall ((V_A $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in (tptp.c_Main_Oin__listsI__1 V_A V_xs T_a) V_A T_a)) (tptp.c_in V_xs (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a)))))
% 115.17/115.49  (assume a256 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_Nat_Osize (tptp.c_List_Oremdups V_xs T_a) (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize V_xs (tptp.tc_List_Olist T_a)) tptp.tc_nat)))
% 115.17/115.49  (assume a257 (forall ((V_y $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_xs $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair (tptp.c_List_Olist_OCons V_y V_ys T_a) V_xs (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olistrel V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)))) (= V_xs (tptp.c_List_Olist_OCons (tptp.c_Main_Olistrel__Cons1__1 V_r V_xs V_y V_ys T_a) (tptp.c_Main_Olistrel__Cons1__2 V_r V_xs V_y V_ys T_a) T_a)))))
% 115.17/115.49  (assume a258 (forall ((V_y $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_xs $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair (tptp.c_List_Olist_OCons V_y V_ys T_a) V_xs (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olistrel V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)))) (tptp.c_in (tptp.c_Pair V_ys (tptp.c_Main_Olistrel__Cons1__2 V_r V_xs V_y V_ys T_a) (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olistrel V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a))))))
% 115.17/115.49  (assume a259 (forall ((V_y $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_xs $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair (tptp.c_List_Olist_OCons V_y V_ys T_a) V_xs (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olistrel V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)))) (tptp.c_in (tptp.c_Pair V_y (tptp.c_Main_Olistrel__Cons1__1 V_r V_xs V_y V_ys T_a) T_a T_a) V_r (tptp.tc_prod T_a T_a)))))
% 115.17/115.49  (assume a260 (forall ((V_xs $$unsorted) (V_y $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_xs (tptp.c_List_Olist_OCons V_y V_ys T_a) (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olistrel V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)))) (= V_xs (tptp.c_List_Olist_OCons (tptp.c_Main_Olistrel__Cons2__1 V_r V_xs V_y V_ys T_a) (tptp.c_Main_Olistrel__Cons2__2 V_r V_xs V_y V_ys T_a) T_a)))))
% 115.17/115.49  (assume a261 (forall ((V_xs $$unsorted) (V_y $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_xs (tptp.c_List_Olist_OCons V_y V_ys T_a) (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olistrel V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)))) (tptp.c_in (tptp.c_Pair (tptp.c_Main_Olistrel__Cons2__2 V_r V_xs V_y V_ys T_a) V_ys (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olistrel V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a))))))
% 115.17/115.49  (assume a262 (forall ((V_xs $$unsorted) (V_y $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_xs (tptp.c_List_Olist_OCons V_y V_ys T_a) (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olistrel V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)))) (tptp.c_in (tptp.c_Pair (tptp.c_Main_Olistrel__Cons2__1 V_r V_xs V_y V_ys T_a) V_y T_a T_a) V_r (tptp.tc_prod T_a T_a)))))
% 115.17/115.49  (assume a263 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair tptp.c_List_Olist_ONil V_xs (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olistrel V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)))) (= V_xs tptp.c_List_Olist_ONil))))
% 115.17/115.49  (assume a264 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_xs tptp.c_List_Olist_ONil (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)) (tptp.c_List_Olistrel V_r T_a) (tptp.tc_prod (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a)))) (= V_xs tptp.c_List_Olist_ONil))))
% 115.17/115.49  (assume a265 (forall ((V_x $$unsorted) (V_l $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in (tptp.c_List_Olist_OCons V_x V_l T_a) (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a))) (tptp.c_in V_l (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a)))))
% 115.17/115.49  (assume a266 (forall ((V_x $$unsorted) (V_l $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in (tptp.c_List_Olist_OCons V_x V_l T_a) (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a))) (tptp.c_in V_x V_A T_a))))
% 115.17/115.49  (assume a267 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_l $$unsorted)) (or (not (tptp.c_in V_a V_A T_a)) (not (tptp.c_in V_l (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a))) (tptp.c_in (tptp.c_List_Olist_OCons V_a V_l T_a) (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a)))))
% 115.17/115.49  (assume a268 (forall ((V_A $$unsorted) (T_a $$unsorted)) (tptp.c_in tptp.c_List_Olist_ONil (tptp.c_List_Olists V_A T_a) (tptp.tc_List_Olist T_a))))
% 115.17/115.49  (assume a269 (forall ((V_r $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_Wellfounded__Recursion_Owf V_r T_a)) (tptp.c_Wellfounded__Recursion_Owf (tptp.c_List_Olenlex V_r T_a) (tptp.tc_List_Olist T_a)))))
% 115.17/115.49  (assume a270 (forall ((V_r $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_Wellfounded__Recursion_Owf V_r T_a)) (tptp.c_Wellfounded__Recursion_Owf (tptp.c_List_Olex V_r T_a) (tptp.tc_List_Olist T_a)))))
% 115.17/115.49  (assume a271 (forall ((V_n $$unsorted)) (tptp.c_lessequals tptp.c_0 V_n tptp.tc_nat)))
% 115.17/115.49  (assume a272 (forall ((V_n $$unsorted)) (tptp.c_less V_n (tptp.c_Suc V_n) tptp.tc_nat)))
% 115.17/115.49  (assume a273 (forall ((V_n $$unsorted)) (not (tptp.c_less V_n V_n tptp.tc_nat))))
% 115.17/115.49  (assume a274 (forall ((V_n $$unsorted)) (tptp.c_less tptp.c_0 (tptp.c_Suc V_n) tptp.tc_nat)))
% 115.17/115.49  (assume a275 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_x V_x T_a))))
% 115.17/115.49  (assume a276 (forall ((V_a $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_a (tptp.c_Relation_ODomain V_r T_a T_b) T_a)) (tptp.c_in (tptp.c_Pair V_a (tptp.c_Main_ODomainE__1 V_a V_r T_a T_b) T_a T_b) V_r (tptp.tc_prod T_a T_b)))))
% 115.17/115.49  (assume a277 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) V_r (tptp.tc_prod T_a T_b))) (tptp.c_in V_a (tptp.c_Relation_ODomain V_r T_a T_b) T_a))))
% 115.17/115.49  (assume a278 (forall ((V_p $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_p tptp.c_Relation_OId (tptp.tc_prod T_a T_a))) (= V_p (tptp.c_Pair (tptp.c_Main_OIdE__1 V_p T_a) (tptp.c_Main_OIdE__1 V_p T_a) T_a T_a)))))
% 115.17/115.49  (assume a279 (forall ((V_b $$unsorted) (V_r $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_b (tptp.c_Relation_OImage V_r V_A T_b T_a) T_a)) (tptp.c_in (tptp.c_Main_OImageE__1 V_A V_b V_r T_b T_a) V_A T_b))))
% 115.17/115.49  (assume a280 (forall ((V_b $$unsorted) (V_r $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_b (tptp.c_Relation_OImage V_r V_A T_b T_a) T_a)) (tptp.c_in (tptp.c_Pair (tptp.c_Main_OImageE__1 V_A V_b V_r T_b T_a) V_b T_b T_a) V_r (tptp.tc_prod T_b T_a)))))
% 115.17/115.49  (assume a281 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_b $$unsorted) (T_b $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in V_a V_A T_a)) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) V_r (tptp.tc_prod T_a T_b))) (tptp.c_in V_b (tptp.c_Relation_OImage V_r V_A T_a T_b) T_b))))
% 115.17/115.49  (assume a282 (forall ((V_b $$unsorted) (V_r $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_b (tptp.c_Relation_ORange V_r T_b T_a) T_a)) (tptp.c_in (tptp.c_Pair (tptp.c_Main_ORangeE__1 V_b V_r T_a T_b) V_b T_b T_a) V_r (tptp.tc_prod T_b T_a)))))
% 115.17/115.49  (assume a283 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) V_r (tptp.tc_prod T_a T_b))) (tptp.c_in V_b (tptp.c_Relation_ORange V_r T_a T_b) T_b))))
% 115.17/115.49  (assume a284 (forall ((V_yx $$unsorted) (V_r $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_yx (tptp.c_Relation_Oconverse V_r T_b T_a) (tptp.tc_prod T_a T_b))) (tptp.c_in (tptp.c_Pair (tptp.c_Main_OconverseE__1 V_r V_yx T_b T_a) (tptp.c_Main_OconverseE__2 V_r V_yx T_b T_a) T_b T_a) V_r (tptp.tc_prod T_b T_a)))))
% 115.17/115.49  (assume a285 (forall ((V_yx $$unsorted) (V_r $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_yx (tptp.c_Relation_Oconverse V_r T_b T_a) (tptp.tc_prod T_a T_b))) (= V_yx (tptp.c_Pair (tptp.c_Main_OconverseE__2 V_r V_yx T_b T_a) (tptp.c_Main_OconverseE__1 V_r V_yx T_b T_a) T_a T_b)))))
% 115.17/115.49  (assume a286 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Relation_Odiag V_A T_a) (tptp.tc_prod T_a T_a))) (= V_c (tptp.c_Pair (tptp.c_Main_OdiagE__1 V_A V_c T_a) (tptp.c_Main_OdiagE__1 V_A V_c T_a) T_a T_a)))))
% 115.17/115.49  (assume a287 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Relation_Odiag V_A T_a) (tptp.tc_prod T_a T_a))) (tptp.c_in (tptp.c_Main_OdiagE__1 V_A V_c T_a) V_A T_a))))
% 115.17/115.49  (assume a288 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_a V_A T_a)) (tptp.c_in (tptp.c_Pair V_a V_a T_a T_a) (tptp.c_Relation_Odiag V_A T_a) (tptp.tc_prod T_a T_a)))))
% 115.17/115.49  (assume a289 (forall ((V_xz $$unsorted) (V_r $$unsorted) (V_s $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_xz (tptp.c_Relation_Orel__comp V_r V_s T_c T_b T_a) (tptp.tc_prod T_a T_b))) (tptp.c_in (tptp.c_Pair (tptp.c_Main_Orel__compE__2 V_r V_s V_xz T_c T_b T_a) (tptp.c_Main_Orel__compE__3 V_r V_s V_xz T_c T_b T_a) T_c T_b) V_r (tptp.tc_prod T_c T_b)))))
% 115.17/115.49  (assume a290 (forall ((V_xz $$unsorted) (V_r $$unsorted) (V_s $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_xz (tptp.c_Relation_Orel__comp V_r V_s T_c T_b T_a) (tptp.tc_prod T_a T_b))) (tptp.c_in (tptp.c_Pair (tptp.c_Main_Orel__compE__1 V_r V_s V_xz T_c T_b T_a) (tptp.c_Main_Orel__compE__2 V_r V_s V_xz T_c T_b T_a) T_a T_c) V_s (tptp.tc_prod T_a T_c)))))
% 115.17/115.49  (assume a291 (forall ((V_xz $$unsorted) (V_r $$unsorted) (V_s $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_xz (tptp.c_Relation_Orel__comp V_r V_s T_c T_b T_a) (tptp.tc_prod T_a T_b))) (= V_xz (tptp.c_Pair (tptp.c_Main_Orel__compE__1 V_r V_s V_xz T_c T_b T_a) (tptp.c_Main_Orel__compE__3 V_r V_s V_xz T_c T_b T_a) T_a T_b)))))
% 115.17/115.49  (assume a292 (forall ((V_b $$unsorted) (V_c $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (V_r $$unsorted) (V_a $$unsorted) (T_a $$unsorted) (V_s $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_b V_c T_b T_c) V_r (tptp.tc_prod T_b T_c))) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_b) V_s (tptp.tc_prod T_a T_b))) (tptp.c_in (tptp.c_Pair V_a V_c T_a T_c) (tptp.c_Relation_Orel__comp V_r V_s T_b T_c T_a) (tptp.tc_prod T_a T_c)))))
% 115.17/115.49  (assume a293 (forall ((V_l $$unsorted) (V_u $$unsorted)) (tptp.c_in (tptp.c_SetInterval_OatLeastAtMost V_l V_u tptp.tc_nat) tptp.c_Finite__Set_OFinites (tptp.tc_set tptp.tc_nat))))
% 115.17/115.49  (assume a294 (forall ((V_l $$unsorted) (V_u $$unsorted)) (tptp.c_in (tptp.c_SetInterval_OatLeastAtMost V_l V_u tptp.tc_IntDef_Oint) tptp.c_Finite__Set_OFinites (tptp.tc_set tptp.tc_IntDef_Oint))))
% 115.17/115.49  (assume a295 (forall ((V_l $$unsorted) (V_u $$unsorted)) (tptp.c_in (tptp.c_SetInterval_OatLeastLessThan V_l V_u tptp.tc_nat) tptp.c_Finite__Set_OFinites (tptp.tc_set tptp.tc_nat))))
% 115.17/115.49  (assume a296 (forall ((V_l $$unsorted) (V_u $$unsorted)) (tptp.c_in (tptp.c_SetInterval_OatLeastLessThan V_l V_u tptp.tc_IntDef_Oint) tptp.c_Finite__Set_OFinites (tptp.tc_set tptp.tc_IntDef_Oint))))
% 115.17/115.49  (assume a297 (forall ((V_k $$unsorted)) (tptp.c_in (tptp.c_SetInterval_OatMost V_k tptp.tc_nat) tptp.c_Finite__Set_OFinites (tptp.tc_set tptp.tc_nat))))
% 115.17/115.49  (assume a298 (forall ((V_l $$unsorted) (V_u $$unsorted)) (tptp.c_in (tptp.c_SetInterval_OgreaterThanAtMost V_l V_u tptp.tc_nat) tptp.c_Finite__Set_OFinites (tptp.tc_set tptp.tc_nat))))
% 115.17/115.49  (assume a299 (forall ((V_l $$unsorted) (V_u $$unsorted)) (tptp.c_in (tptp.c_SetInterval_OgreaterThanAtMost V_l V_u tptp.tc_IntDef_Oint) tptp.c_Finite__Set_OFinites (tptp.tc_set tptp.tc_IntDef_Oint))))
% 115.17/115.49  (assume a300 (forall ((V_l $$unsorted) (V_u $$unsorted)) (tptp.c_in (tptp.c_SetInterval_OgreaterThanLessThan V_l V_u tptp.tc_nat) tptp.c_Finite__Set_OFinites (tptp.tc_set tptp.tc_nat))))
% 115.17/115.49  (assume a301 (forall ((V_l $$unsorted) (V_u $$unsorted)) (tptp.c_in (tptp.c_SetInterval_OgreaterThanLessThan V_l V_u tptp.tc_IntDef_Oint) tptp.c_Finite__Set_OFinites (tptp.tc_set tptp.tc_IntDef_Oint))))
% 115.17/115.49  (assume a302 (forall ((V_k $$unsorted)) (tptp.c_in (tptp.c_SetInterval_OlessThan V_k tptp.tc_nat) tptp.c_Finite__Set_OFinites (tptp.tc_set tptp.tc_nat))))
% 115.17/115.49  (assume a303 (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_A (tptp.c_Inter V_C T_a) T_a) (tptp.c_in (tptp.c_Main_OInterI__1 V_A V_C T_a) V_C (tptp.tc_set T_a)))))
% 115.17/115.49  (assume a304 (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_A (tptp.c_Main_OInterI__1 V_A V_C T_a) T_a)) (tptp.c_in V_A (tptp.c_Inter V_C T_a) T_a))))
% 115.17/115.49  (assume a305 (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.c_in V_x tptp.c_UNIV T_a)))
% 115.17/115.49  (assume a306 (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_A (tptp.c_Union V_C T_a) T_a)) (tptp.c_in (tptp.c_Main_OUnionE__1 V_A V_C T_a) V_C (tptp.tc_set T_a)))))
% 115.17/115.49  (assume a307 (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_A (tptp.c_Union V_C T_a) T_a)) (tptp.c_in V_A (tptp.c_Main_OUnionE__1 V_A V_C T_a) T_a))))
% 115.17/115.49  (assume a308 (forall ((V_A $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals tptp.c_emptyset V_A (tptp.tc_set T_a))))
% 115.17/115.49  (assume a309 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_less V_A V_B (tptp.tc_set T_a))) (not (tptp.c_lessequals V_B V_A (tptp.tc_set T_a))))))
% 115.17/115.49  (assume a310 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_less V_A V_B (tptp.tc_set T_a))) (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)))))
% 115.17/115.49  (assume a311 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals V_A V_B (tptp.tc_set T_a))) (tptp.c_less V_A V_B (tptp.tc_set T_a)) (= V_A V_B))))
% 115.17/115.49  (assume a312 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_b (tptp.c_insert V_a tptp.c_emptyset T_a) T_a)) (= V_b V_a))))
% 115.17/115.49  (assume a313 (forall ((V_a $$unsorted) (T_a $$unsorted)) (tptp.c_in V_a (tptp.c_insert V_a tptp.c_emptyset T_a) T_a)))
% 115.17/115.49  (assume a314 (forall ((V_a $$unsorted) (T_a $$unsorted) (V_b $$unsorted)) (or (not (= (tptp.c_insert V_a tptp.c_emptyset T_a) (tptp.c_insert V_b tptp.c_emptyset T_a))) (= V_a V_b))))
% 115.17/115.49  (assume a315 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (not (tptp.c_lessequals V_A V_B (tptp.tc_set T_a))) (tptp.c_in V_c V_B T_a))))
% 115.17/115.49  (assume a316 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Main_OsubsetI__1 V_A V_B T_a) V_A T_a) (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)))))
% 115.17/115.49  (assume a317 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in (tptp.c_Main_OsubsetI__1 V_A V_B T_a) V_B T_a)) (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)))))
% 115.17/115.49  (assume a318 (forall ((V_B $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals V_B V_A (tptp.tc_set T_a))) (not (tptp.c_lessequals V_A V_B (tptp.tc_set T_a))) (= V_A V_B))))
% 115.17/115.49  (assume a319 (forall ((V_A $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_A V_A (tptp.tc_set T_a))))
% 115.17/115.49  (assume a320 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_a V_A T_a)) (tptp.c_in (tptp.c_Sum__Type_OInl V_a T_a T_b) (tptp.c_Sum__Type_OPlus V_A V_B T_a T_b) (tptp.tc_sum T_a T_b)))))
% 115.17/115.49  (assume a321 (forall ((V_b $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_b V_B T_a)) (tptp.c_in (tptp.c_Sum__Type_OInr V_b T_a T_b) (tptp.c_Sum__Type_OPlus V_A V_B T_b T_a) (tptp.tc_sum T_b T_a)))))
% 115.17/115.49  (assume a322 (forall ((V_u $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_u (tptp.c_Sum__Type_OPlus V_A V_B T_a T_b) (tptp.tc_sum T_a T_b))) (= V_u (tptp.c_Sum__Type_OInl (tptp.c_Main_OPlusE__1 V_A V_u T_a T_b) T_a T_b)) (= V_u (tptp.c_Sum__Type_OInr (tptp.c_Main_OPlusE__2 V_B V_u T_b T_a) T_b T_a)))))
% 115.17/115.49  (assume a323 (forall ((V_u $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_u (tptp.c_Sum__Type_OPlus V_A V_B T_a T_b) (tptp.tc_sum T_a T_b))) (tptp.c_in (tptp.c_Main_OPlusE__2 V_B V_u T_b T_a) V_B T_b) (= V_u (tptp.c_Sum__Type_OInl (tptp.c_Main_OPlusE__1 V_A V_u T_a T_b) T_a T_b)))))
% 115.17/115.49  (assume a324 (forall ((V_u $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_u (tptp.c_Sum__Type_OPlus V_A V_B T_a T_b) (tptp.tc_sum T_a T_b))) (tptp.c_in (tptp.c_Main_OPlusE__1 V_A V_u T_a T_b) V_A T_a) (= V_u (tptp.c_Sum__Type_OInr (tptp.c_Main_OPlusE__2 V_B V_u T_b T_a) T_b T_a)))))
% 115.17/115.49  (assume a325 (forall ((V_u $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (not (tptp.c_in V_u (tptp.c_Sum__Type_OPlus V_A V_B T_a T_b) (tptp.tc_sum T_a T_b))) (tptp.c_in (tptp.c_Main_OPlusE__1 V_A V_u T_a T_b) V_A T_a) (tptp.c_in (tptp.c_Main_OPlusE__2 V_B V_u T_b T_a) V_B T_b))))
% 115.17/115.49  (assume a326 (forall ((V_p $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_p V_r (tptp.tc_prod T_a T_a))) (tptp.c_in V_p (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a)))))
% 115.17/115.49  (assume a327 (forall ((V_a $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (tptp.c_in (tptp.c_Pair V_a V_a T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a))))
% 115.17/115.49  (assume a328 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) V_r (tptp.tc_prod T_a T_a))) (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_r T_a) (tptp.tc_prod T_a T_a)))))
% 115.17/115.49  (assume a329 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_r $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) (tptp.c_Transitive__Closure_Otrancl V_r T_a) (tptp.tc_prod T_a T_a))) (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a)))))
% 115.17/115.49  (assume a330 (forall ((T_a $$unsorted)) (tptp.c_Wellfounded__Recursion_Owf tptp.c_emptyset T_a)))
% 115.17/115.49  (assume a331 (tptp.c_Relation_Otrans tptp.c_Wellfounded__Relations_Oless__than tptp.tc_nat))
% 115.17/115.49  (assume a332 (forall ((V_R2 $$unsorted) (T_b $$unsorted) (V_R1 $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_Relation_Otrans V_R2 T_b)) (not (tptp.c_Relation_Otrans V_R1 T_a)) (tptp.c_Relation_Otrans (tptp.c_Wellfounded__Relations_Olex__prod V_R1 V_R2 T_a T_b) (tptp.tc_prod T_a T_b)))))
% 115.17/115.49  (assume a333 (tptp.c_Wellfounded__Recursion_Owf tptp.c_Wellfounded__Relations_Oless__than tptp.tc_nat))
% 115.17/115.49  (assume a334 (forall ((V_rb $$unsorted) (T_b $$unsorted) (V_ra $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_Wellfounded__Recursion_Owf V_rb T_b)) (not (tptp.c_Wellfounded__Recursion_Owf V_ra T_a)) (tptp.c_Wellfounded__Recursion_Owf (tptp.c_Wellfounded__Relations_Olex__prod V_ra V_rb T_a T_b) (tptp.tc_prod T_a T_b)))))
% 115.17/115.49  (assume a335 (forall ((T_1 $$unsorted)) (or (tptp.class_Finite__Set_Ofinite (tptp.tc_Datatype_Ooption T_1)) (not (tptp.class_Finite__Set_Ofinite T_1)))))
% 115.17/115.49  (assume a336 (tptp.class_HOL_Ominus tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a337 (tptp.class_HOL_Oone tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a338 (tptp.class_Ring__and__Field_Osemiring tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a339 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a340 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a341 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a342 (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a343 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a344 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a345 (tptp.class_OrderedGroup_Oab__group__add tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a346 (tptp.class_Ring__and__Field_Osemiring__0__cancel tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a347 (tptp.class_Ring__and__Field_Oring tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a348 (tptp.class_HOL_Oplus tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a349 (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a350 (tptp.class_Ring__and__Field_Ocomm__ring tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a351 (tptp.class_Ring__and__Field_Oaxclass__0__neq__1 tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a352 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a353 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a354 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a355 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a356 (tptp.class_Ring__and__Field_Osemiring__1__cancel tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a357 (tptp.class_Ring__and__Field_Oring__1 tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a358 (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a359 (tptp.class_HOL_Otimes tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a360 (tptp.class_Ring__and__Field_Ocomm__ring__1 tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a361 (tptp.class_Orderings_Oorder tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a362 (tptp.class_LOrder_Omeet__semilorder tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a363 (tptp.class_LOrder_Ojoin__semilorder tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a364 (tptp.class_LOrder_Olorder tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a365 (tptp.class_Orderings_Olinorder tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a366 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a367 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a368 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a369 (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a370 (tptp.class_HOL_Ozero tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a371 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a372 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a373 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a374 (tptp.class_Ring__and__Field_Opordered__comm__semiring tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a375 (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a376 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a377 (tptp.class_Ring__and__Field_Oaxclass__abs__if tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a378 (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a379 (tptp.class_OrderedGroup_Olordered__ab__group tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a380 (tptp.class_Ring__and__Field_Opordered__ring tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a381 (tptp.class_Orderings_Oord tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a382 (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a383 (tptp.class_OrderedGroup_Olordered__ab__group__meet tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a384 (tptp.class_OrderedGroup_Olordered__ab__group__join tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a385 (tptp.class_Ring__and__Field_Olordered__ring tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a386 (tptp.class_Ring__and__Field_Oaxclass__no__zero__divisors tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a387 (tptp.class_Ring__and__Field_Oordered__ring__strict tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a388 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a389 (tptp.class_Ring__and__Field_Oidom tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a390 (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a391 (tptp.class_Numeral_Onumber tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a392 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a393 (tptp.class_Numeral_Onumber__ring tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a394 (tptp.class_Divides_Odiv tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a395 (tptp.class_Nat_Opower tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a396 (tptp.class_Power_Orecpower tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a397 (tptp.class_Parity_Oeven__odd tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a398 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a399 (tptp.class_OrderedGroup_Osemigroup__mult tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a400 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_IntDef_Oint))
% 115.17/115.49  (assume a401 (tptp.class_Finite__Set_Ofinite tptp.tc_Product__Type_Ounit))
% 115.17/115.49  (assume a402 (tptp.class_Finite__Set_Ofinite tptp.tc_bool))
% 115.17/115.49  (assume a403 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Finite__Set_Ofinite (tptp.tc_fun T_2 T_1)) (not (tptp.class_Finite__Set_Ofinite T_1)) (not (tptp.class_Finite__Set_Ofinite T_2)))))
% 115.17/115.49  (assume a404 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (tptp.class_Nat_Opower (tptp.tc_fun T_2 T_1))))
% 115.17/115.49  (assume a405 (tptp.class_HOL_Oone tptp.tc_nat))
% 115.17/115.49  (assume a406 (tptp.class_HOL_Ozero tptp.tc_nat))
% 115.17/115.49  (assume a407 (tptp.class_HOL_Oplus tptp.tc_nat))
% 115.17/115.49  (assume a408 (tptp.class_HOL_Otimes tptp.tc_nat))
% 115.17/115.49  (assume a409 (tptp.class_Nat_Opower tptp.tc_nat))
% 115.17/115.49  (assume a410 (tptp.class_Ring__and__Field_Oaxclass__0__neq__1 tptp.tc_nat))
% 115.17/115.49  (assume a411 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_nat))
% 115.17/115.49  (assume a412 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat))
% 115.17/115.49  (assume a413 (tptp.class_OrderedGroup_Osemigroup__mult tptp.tc_nat))
% 115.17/115.49  (assume a414 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_nat))
% 115.17/115.49  (assume a415 (tptp.class_Ring__and__Field_Osemiring tptp.tc_nat))
% 115.17/115.49  (assume a416 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_nat))
% 115.17/115.49  (assume a417 (tptp.class_Orderings_Oord tptp.tc_nat))
% 115.17/115.49  (assume a418 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat))
% 115.17/115.49  (assume a419 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_nat))
% 115.17/115.49  (assume a420 (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_nat))
% 115.17/115.49  (assume a421 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_nat))
% 115.17/115.49  (assume a422 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_nat))
% 115.17/115.49  (assume a423 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat))
% 115.17/115.49  (assume a424 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat))
% 115.17/115.49  (assume a425 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat))
% 115.17/115.49  (assume a426 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat))
% 115.17/115.49  (assume a427 (tptp.class_Ring__and__Field_Osemiring__0__cancel tptp.tc_nat))
% 115.17/115.49  (assume a428 (tptp.class_Orderings_Oorder tptp.tc_nat))
% 115.17/115.49  (assume a429 (tptp.class_Ring__and__Field_Osemiring__1__cancel tptp.tc_nat))
% 115.17/115.49  (assume a430 (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel tptp.tc_nat))
% 115.17/115.49  (assume a431 (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel tptp.tc_nat))
% 115.17/115.49  (assume a432 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat))
% 115.17/115.49  (assume a433 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat))
% 115.17/115.49  (assume a434 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat))
% 115.17/115.49  (assume a435 (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add tptp.tc_nat))
% 115.17/115.49  (assume a436 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_nat))
% 115.17/115.49  (assume a437 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_nat))
% 115.17/115.49  (assume a438 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_nat))
% 115.17/115.49  (assume a439 (tptp.class_LOrder_Omeet__semilorder tptp.tc_nat))
% 115.17/115.49  (assume a440 (tptp.class_Ring__and__Field_Opordered__comm__semiring tptp.tc_nat))
% 115.17/115.49  (assume a441 (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring tptp.tc_nat))
% 115.17/115.49  (assume a442 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_nat))
% 115.17/115.49  (assume a443 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat))
% 115.17/115.49  (assume a444 (tptp.class_Divides_Odiv tptp.tc_nat))
% 115.17/115.49  (assume a445 (tptp.class_Power_Orecpower tptp.tc_nat))
% 115.17/115.49  (assume a446 (tptp.class_Numeral_Onumber tptp.tc_nat))
% 115.17/115.49  (assume a447 (tptp.class_Parity_Oeven__odd tptp.tc_nat))
% 115.17/115.49  (assume a448 (tptp.class_LOrder_Ojoin__semilorder tptp.tc_nat))
% 115.17/115.49  (assume a449 (tptp.class_LOrder_Olorder tptp.tc_nat))
% 115.17/115.49  (assume a450 (tptp.class_Orderings_Olinorder tptp.tc_nat))
% 115.17/115.49  (assume a451 (tptp.class_Wellfounded__Recursion_Owellorder tptp.tc_nat))
% 115.17/115.49  (assume a452 (tptp.class_HOL_Ominus tptp.tc_nat))
% 115.17/115.49  (assume a453 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Finite__Set_Ofinite (tptp.tc_prod T_2 T_1)) (not (tptp.class_Finite__Set_Ofinite T_1)) (not (tptp.class_Finite__Set_Ofinite T_2)))))
% 115.17/115.49  (assume a454 (forall ((T_1 $$unsorted)) (tptp.class_HOL_Ominus (tptp.tc_set T_1))))
% 115.17/115.49  (assume a455 (forall ((T_1 $$unsorted)) (tptp.class_Orderings_Oord (tptp.tc_set T_1))))
% 115.17/115.49  (assume a456 (forall ((T_1 $$unsorted)) (tptp.class_Orderings_Oorder (tptp.tc_set T_1))))
% 115.17/115.49  (assume a457 (forall ((T_1 $$unsorted)) (or (tptp.class_Finite__Set_Ofinite (tptp.tc_set T_1)) (not (tptp.class_Finite__Set_Ofinite T_1)))))
% 115.17/115.49  (assume a458 (forall ((T_1 $$unsorted)) (tptp.class_Nat_Opower (tptp.tc_set T_1))))
% 115.17/115.49  (assume a459 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Finite__Set_Ofinite (tptp.tc_sum T_2 T_1)) (not (tptp.class_Finite__Set_Ofinite T_1)) (not (tptp.class_Finite__Set_Ofinite T_2)))))
% 115.17/115.49  (assume a460 (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Ojoin__semilorder T)) (tptp.class_Orderings_Oord T))))
% 115.17/115.49  (assume a461 (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Ojoin__semilorder T)) (tptp.class_Orderings_Oorder T))))
% 115.17/115.49  (assume a462 (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Olorder T)) (tptp.class_LOrder_Omeet__semilorder T))))
% 115.17/115.49  (assume a463 (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Olorder T)) (tptp.class_Orderings_Oord T))))
% 115.17/115.49  (assume a464 (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Olorder T)) (tptp.class_Orderings_Oorder T))))
% 115.17/115.49  (assume a465 (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Olorder T)) (tptp.class_LOrder_Ojoin__semilorder T))))
% 115.17/115.49  (assume a466 (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Omeet__semilorder T)) (tptp.class_Orderings_Oord T))))
% 115.17/115.49  (assume a467 (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Omeet__semilorder T)) (tptp.class_Orderings_Oorder T))))
% 115.17/115.49  (assume a468 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.49  (assume a469 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.49  (assume a470 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 115.17/115.49  (assume a471 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0 T))))
% 115.17/115.49  (assume a472 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_HOL_Ominus T))))
% 115.17/115.49  (assume a473 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 115.17/115.49  (assume a474 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 115.17/115.49  (assume a475 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 115.17/115.49  (assume a476 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 115.17/115.49  (assume a477 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_Ring__and__Field_Oring T))))
% 115.17/115.49  (assume a478 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T))))
% 115.17/115.49  (assume a479 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_Ring__and__Field_Ocomm__ring T))))
% 115.17/115.49  (assume a480 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.49  (assume a481 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_HOL_Oone T))))
% 115.17/115.49  (assume a482 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_Ring__and__Field_Oaxclass__0__neq__1 T))))
% 115.17/115.49  (assume a483 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_OrderedGroup_Omonoid__mult T))))
% 115.17/115.49  (assume a484 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_OrderedGroup_Ocomm__monoid__mult T))))
% 115.17/115.49  (assume a485 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_Ring__and__Field_Osemiring__1 T))))
% 115.17/115.49  (assume a486 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 T))))
% 115.17/115.49  (assume a487 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_Ring__and__Field_Osemiring__1__cancel T))))
% 115.17/115.49  (assume a488 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_Ring__and__Field_Oring__1 T))))
% 115.17/115.49  (assume a489 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T))))
% 115.17/115.49  (assume a490 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_Ring__and__Field_Ocomm__ring__1 T))))
% 115.17/115.49  (assume a491 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_HOL_Otimes T))))
% 115.17/115.49  (assume a492 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_Numeral_Onumber T))))
% 115.17/115.49  (assume a493 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 115.17/115.49  (assume a494 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 115.17/115.49  (assume a495 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 115.17/115.49  (assume a496 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_Ring__and__Field_Ocomm__semiring T))))
% 115.17/115.49  (assume a497 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.49  (assume a498 (forall ((T $$unsorted)) (or (not (tptp.class_Numeral_Onumber__ring T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 115.17/115.49  (assume a499 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T)) (tptp.class_HOL_Ominus T))))
% 115.17/115.49  (assume a500 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 115.17/115.49  (assume a501 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.49  (assume a502 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.49  (assume a503 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.49  (assume a504 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.49  (assume a505 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 115.17/115.49  (assume a506 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 115.17/115.49  (assume a507 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__semigroup__add T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.49  (assume a508 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__semigroup__add T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.49  (assume a509 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 115.17/115.49  (assume a510 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult T)) (tptp.class_HOL_Otimes T))))
% 115.17/115.49  (assume a511 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.49  (assume a512 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.49  (assume a513 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.49  (assume a514 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 115.17/115.49  (assume a515 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__semigroup__add T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.49  (assume a516 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__semigroup__add T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.49  (assume a517 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.49  (assume a518 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.49  (assume a519 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.49  (assume a520 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.49  (assume a521 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__mult T)) (tptp.class_HOL_Oone T))))
% 115.17/115.49  (assume a522 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__mult T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 115.17/115.49  (assume a523 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__mult T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 115.17/115.49  (assume a524 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__mult T)) (tptp.class_HOL_Otimes T))))
% 115.17/115.49  (assume a525 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__mult T)) (tptp.class_OrderedGroup_Omonoid__mult T))))
% 115.17/115.49  (assume a526 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T))))
% 115.17/115.49  (assume a527 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 115.17/115.49  (assume a528 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 115.17/115.49  (assume a529 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.49  (assume a530 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 115.17/115.49  (assume a531 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.49  (assume a532 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.49  (assume a533 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T)) (tptp.class_LOrder_Olorder T))))
% 115.17/115.49  (assume a534 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T)) (tptp.class_LOrder_Ojoin__semilorder T))))
% 115.17/115.49  (assume a535 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T)) (tptp.class_LOrder_Omeet__semilorder T))))
% 115.17/115.49  (assume a536 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T)) (tptp.class_HOL_Ominus T))))
% 115.17/115.49  (assume a537 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 115.17/115.49  (assume a538 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.49  (assume a539 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T))))
% 115.17/115.49  (assume a540 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T)) (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T))))
% 115.17/115.49  (assume a541 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 115.17/115.49  (assume a542 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T)) (tptp.class_Orderings_Oorder T))))
% 115.17/115.49  (assume a543 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group T)) (tptp.class_Orderings_Oord T))))
% 115.17/115.49  (assume a544 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Olordered__ab__group T))))
% 115.17/115.49  (assume a545 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T))))
% 115.17/115.49  (assume a546 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.49  (assume a547 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 115.17/115.49  (assume a548 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.49  (assume a549 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.49  (assume a550 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_LOrder_Olorder T))))
% 115.17/115.49  (assume a551 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_LOrder_Ojoin__semilorder T))))
% 115.17/115.49  (assume a552 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_LOrder_Omeet__semilorder T))))
% 115.17/115.49  (assume a553 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_Orderings_Oorder T))))
% 115.17/115.49  (assume a554 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_Orderings_Oord T))))
% 115.17/115.49  (assume a555 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 115.17/115.49  (assume a556 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_HOL_Ominus T))))
% 115.17/115.49  (assume a557 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 115.17/115.49  (assume a558 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.49  (assume a559 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T))))
% 115.17/115.49  (assume a560 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T))))
% 115.17/115.49  (assume a561 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 115.17/115.49  (assume a562 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 115.17/115.49  (assume a563 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T))))
% 115.17/115.49  (assume a564 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 115.17/115.49  (assume a565 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 115.17/115.49  (assume a566 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.49  (assume a567 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 115.17/115.49  (assume a568 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.49  (assume a569 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.49  (assume a570 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_LOrder_Ojoin__semilorder T))))
% 115.17/115.49  (assume a571 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_OrderedGroup_Olordered__ab__group T))))
% 115.17/115.49  (assume a572 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_LOrder_Olorder T))))
% 115.17/115.49  (assume a573 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_LOrder_Omeet__semilorder T))))
% 115.17/115.49  (assume a574 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_HOL_Ominus T))))
% 115.17/115.49  (assume a575 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 115.17/115.49  (assume a576 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.49  (assume a577 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T))))
% 115.17/115.49  (assume a578 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T))))
% 115.17/115.49  (assume a579 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 115.17/115.49  (assume a580 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_Orderings_Oorder T))))
% 115.17/115.49  (assume a581 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__join T)) (tptp.class_Orderings_Oord T))))
% 115.17/115.49  (assume a582 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T))))
% 115.17/115.49  (assume a583 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 115.17/115.49  (assume a584 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 115.17/115.49  (assume a585 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.49  (assume a586 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 115.17/115.49  (assume a587 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.49  (assume a588 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.49  (assume a589 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_LOrder_Omeet__semilorder T))))
% 115.17/115.49  (assume a590 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_OrderedGroup_Olordered__ab__group T))))
% 115.17/115.49  (assume a591 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_LOrder_Olorder T))))
% 115.17/115.49  (assume a592 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_LOrder_Ojoin__semilorder T))))
% 115.17/115.49  (assume a593 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_HOL_Ominus T))))
% 115.17/115.49  (assume a594 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 115.17/115.49  (assume a595 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.49  (assume a596 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T))))
% 115.17/115.50  (assume a597 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a598 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 115.17/115.50  (assume a599 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_Orderings_Oorder T))))
% 115.17/115.50  (assume a600 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__meet T)) (tptp.class_Orderings_Oord T))))
% 115.17/115.50  (assume a601 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T)) (tptp.class_HOL_Oone T))))
% 115.17/115.50  (assume a602 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 115.17/115.50  (assume a603 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T)) (tptp.class_HOL_Otimes T))))
% 115.17/115.50  (assume a604 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T)) (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a605 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 115.17/115.50  (assume a606 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T)) (tptp.class_LOrder_Olorder T))))
% 115.17/115.50  (assume a607 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T)) (tptp.class_LOrder_Ojoin__semilorder T))))
% 115.17/115.50  (assume a608 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T)) (tptp.class_LOrder_Omeet__semilorder T))))
% 115.17/115.50  (assume a609 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T))))
% 115.17/115.50  (assume a610 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T)) (tptp.class_Orderings_Oorder T))))
% 115.17/115.50  (assume a611 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T)) (tptp.class_Orderings_Oord T))))
% 115.17/115.50  (assume a612 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a613 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.50  (assume a614 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 115.17/115.50  (assume a615 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.50  (assume a616 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.50  (assume a617 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T)) (tptp.class_Orderings_Olinorder T))))
% 115.17/115.50  (assume a618 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 115.17/115.50  (assume a619 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T)) (tptp.class_HOL_Ominus T))))
% 115.17/115.50  (assume a620 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T)) (tptp.class_Orderings_Oorder T))))
% 115.17/115.50  (assume a621 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T)) (tptp.class_Orderings_Oord T))))
% 115.17/115.50  (assume a622 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T))))
% 115.17/115.50  (assume a623 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T)) (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a624 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 115.17/115.50  (assume a625 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.50  (assume a626 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a627 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.50  (assume a628 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 115.17/115.50  (assume a629 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.50  (assume a630 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.50  (assume a631 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 115.17/115.50  (assume a632 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T)) (tptp.class_Orderings_Oorder T))))
% 115.17/115.50  (assume a633 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T)) (tptp.class_Orderings_Oord T))))
% 115.17/115.50  (assume a634 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.50  (assume a635 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.50  (assume a636 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.50  (assume a637 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T)) (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a638 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 115.17/115.50  (assume a639 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T)) (tptp.class_Orderings_Oorder T))))
% 115.17/115.50  (assume a640 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T)) (tptp.class_Orderings_Oord T))))
% 115.17/115.50  (assume a641 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a642 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.50  (assume a643 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 115.17/115.50  (assume a644 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.50  (assume a645 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.50  (assume a646 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 115.17/115.50  (assume a647 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T)) (tptp.class_Orderings_Oorder T))))
% 115.17/115.50  (assume a648 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T)) (tptp.class_Orderings_Oord T))))
% 115.17/115.50  (assume a649 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.50  (assume a650 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.50  (assume a651 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.50  (assume a652 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a653 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 115.17/115.50  (assume a654 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Osemigroup__add T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.50  (assume a655 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Osemigroup__mult T)) (tptp.class_HOL_Otimes T))))
% 115.17/115.50  (assume a656 (forall ((T $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T)) (tptp.class_LOrder_Olorder T))))
% 115.17/115.50  (assume a657 (forall ((T $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T)) (tptp.class_LOrder_Ojoin__semilorder T))))
% 115.17/115.50  (assume a658 (forall ((T $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T)) (tptp.class_LOrder_Omeet__semilorder T))))
% 115.17/115.50  (assume a659 (forall ((T $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T)) (tptp.class_Orderings_Oord T))))
% 115.17/115.50  (assume a660 (forall ((T $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T)) (tptp.class_Orderings_Oorder T))))
% 115.17/115.50  (assume a661 (forall ((T $$unsorted)) (or (not (tptp.class_Orderings_Oorder T)) (tptp.class_Orderings_Oord T))))
% 115.17/115.50  (assume a662 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_Nat_Opower T))))
% 115.17/115.50  (assume a663 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.50  (assume a664 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 115.17/115.50  (assume a665 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_Ring__and__Field_Ocomm__semiring T))))
% 115.17/115.50  (assume a666 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 115.17/115.50  (assume a667 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 115.17/115.50  (assume a668 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0 T))))
% 115.17/115.50  (assume a669 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_OrderedGroup_Omonoid__mult T))))
% 115.17/115.50  (assume a670 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_OrderedGroup_Ocomm__monoid__mult T))))
% 115.17/115.50  (assume a671 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_Ring__and__Field_Osemiring__1 T))))
% 115.17/115.50  (assume a672 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 T))))
% 115.17/115.50  (assume a673 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 115.17/115.50  (assume a674 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_HOL_Oone T))))
% 115.17/115.50  (assume a675 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a676 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 115.17/115.50  (assume a677 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_Ring__and__Field_Osemiring__1__cancel T))))
% 115.17/115.50  (assume a678 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T))))
% 115.17/115.50  (assume a679 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T))))
% 115.17/115.50  (assume a680 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_Ring__and__Field_Oaxclass__0__neq__1 T))))
% 115.17/115.50  (assume a681 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.50  (assume a682 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.50  (assume a683 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.50  (assume a684 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_HOL_Otimes T))))
% 115.17/115.50  (assume a685 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 115.17/115.50  (assume a686 (forall ((T $$unsorted)) (or (not (tptp.class_Power_Orecpower T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 115.17/115.50  (assume a687 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oaxclass__0__neq__1 T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.50  (assume a688 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oaxclass__0__neq__1 T)) (tptp.class_HOL_Oone T))))
% 115.17/115.50  (assume a689 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oaxclass__abs__if T)) (tptp.class_HOL_Ominus T))))
% 115.17/115.50  (assume a690 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oaxclass__abs__if T)) (tptp.class_Orderings_Oord T))))
% 115.17/115.50  (assume a691 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oaxclass__abs__if T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.50  (assume a692 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oaxclass__no__zero__divisors T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.50  (assume a693 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oaxclass__no__zero__divisors T)) (tptp.class_HOL_Otimes T))))
% 115.17/115.50  (assume a694 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0 T))))
% 115.17/115.50  (assume a695 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_Ring__and__Field_Ocomm__semiring T))))
% 115.17/115.50  (assume a696 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.50  (assume a697 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.50  (assume a698 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 115.17/115.50  (assume a699 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_HOL_Ominus T))))
% 115.17/115.50  (assume a700 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a701 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 115.17/115.50  (assume a702 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_Ring__and__Field_Oring T))))
% 115.17/115.50  (assume a703 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 115.17/115.50  (assume a704 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T))))
% 115.17/115.50  (assume a705 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 115.17/115.50  (assume a706 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 115.17/115.50  (assume a707 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 115.17/115.50  (assume a708 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 115.17/115.50  (assume a709 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_HOL_Otimes T))))
% 115.17/115.50  (assume a710 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 115.17/115.50  (assume a711 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.50  (assume a712 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.50  (assume a713 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_Ring__and__Field_Ocomm__ring T))))
% 115.17/115.50  (assume a714 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_Ring__and__Field_Oring T))))
% 115.17/115.50  (assume a715 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 115.17/115.50  (assume a716 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 115.17/115.50  (assume a717 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_HOL_Otimes T))))
% 115.17/115.50  (assume a718 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 115.17/115.50  (assume a719 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.50  (assume a720 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a721 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.50  (assume a722 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 115.17/115.50  (assume a723 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.50  (assume a724 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.50  (assume a725 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 115.17/115.50  (assume a726 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 T))))
% 115.17/115.50  (assume a727 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_OrderedGroup_Ocomm__monoid__mult T))))
% 115.17/115.50  (assume a728 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_Ring__and__Field_Osemiring__1 T))))
% 115.17/115.50  (assume a729 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_Ring__and__Field_Oaxclass__0__neq__1 T))))
% 115.17/115.50  (assume a730 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_OrderedGroup_Omonoid__mult T))))
% 115.17/115.50  (assume a731 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_HOL_Oone T))))
% 115.17/115.50  (assume a732 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_Ring__and__Field_Oring__1 T))))
% 115.17/115.50  (assume a733 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_Ring__and__Field_Osemiring__1__cancel T))))
% 115.17/115.50  (assume a734 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T))))
% 115.17/115.50  (assume a735 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_HOL_Ominus T))))
% 115.17/115.50  (assume a736 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T))))
% 115.17/115.50  (assume a737 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0 T))))
% 115.17/115.50  (assume a738 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_Ring__and__Field_Ocomm__semiring T))))
% 115.17/115.50  (assume a739 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 115.17/115.50  (assume a740 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 115.17/115.50  (assume a741 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 115.17/115.50  (assume a742 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.50  (assume a743 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.50  (assume a744 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.50  (assume a745 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 115.17/115.50  (assume a746 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 115.17/115.50  (assume a747 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring T)) (tptp.class_HOL_Otimes T))))
% 115.17/115.50  (assume a748 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 115.17/115.50  (assume a749 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T)) (tptp.class_Ring__and__Field_Ocomm__semiring T))))
% 115.17/115.50  (assume a750 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 115.17/115.50  (assume a751 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 115.17/115.50  (assume a752 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 115.17/115.50  (assume a753 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.50  (assume a754 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.50  (assume a755 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.50  (assume a756 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 115.17/115.50  (assume a757 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T)) (tptp.class_HOL_Otimes T))))
% 115.17/115.50  (assume a758 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 115.17/115.50  (assume a759 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.50  (assume a760 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0 T))))
% 115.17/115.50  (assume a761 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T)) (tptp.class_Ring__and__Field_Ocomm__semiring T))))
% 115.17/115.50  (assume a762 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.50  (assume a763 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.50  (assume a764 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a765 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 115.17/115.50  (assume a766 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 115.17/115.50  (assume a767 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 115.17/115.50  (assume a768 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 115.17/115.50  (assume a769 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 115.17/115.50  (assume a770 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 115.17/115.50  (assume a771 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T)) (tptp.class_HOL_Otimes T))))
% 115.17/115.50  (assume a772 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 115.17/115.50  (assume a773 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.50  (assume a774 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.50  (assume a775 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)) (tptp.class_Ring__and__Field_Oaxclass__0__neq__1 T))))
% 115.17/115.50  (assume a776 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.50  (assume a777 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 115.17/115.50  (assume a778 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.50  (assume a779 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.50  (assume a780 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.50  (assume a781 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)) (tptp.class_OrderedGroup_Ocomm__monoid__mult T))))
% 115.17/115.50  (assume a782 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)) (tptp.class_OrderedGroup_Omonoid__mult T))))
% 115.17/115.50  (assume a783 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)) (tptp.class_Ring__and__Field_Osemiring__1 T))))
% 115.17/115.50  (assume a784 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)) (tptp.class_HOL_Oone T))))
% 115.17/115.50  (assume a785 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0 T))))
% 115.17/115.50  (assume a786 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)) (tptp.class_Ring__and__Field_Ocomm__semiring T))))
% 115.17/115.50  (assume a787 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 115.17/115.50  (assume a788 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 115.17/115.50  (assume a789 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 115.17/115.50  (assume a790 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 115.17/115.50  (assume a791 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T)) (tptp.class_HOL_Otimes T))))
% 115.17/115.50  (assume a792 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 T))))
% 115.17/115.50  (assume a793 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0 T))))
% 115.17/115.50  (assume a794 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.50  (assume a795 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.50  (assume a796 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.50  (assume a797 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.50  (assume a798 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_OrderedGroup_Omonoid__mult T))))
% 115.17/115.50  (assume a799 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_HOL_Oone T))))
% 115.17/115.50  (assume a800 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 115.17/115.50  (assume a801 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_HOL_Otimes T))))
% 115.17/115.50  (assume a802 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a803 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 115.17/115.50  (assume a804 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_Ring__and__Field_Ocomm__semiring T))))
% 115.17/115.50  (assume a805 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_Ring__and__Field_Osemiring__1__cancel T))))
% 115.17/115.50  (assume a806 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 115.17/115.50  (assume a807 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T))))
% 115.17/115.50  (assume a808 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_OrderedGroup_Ocomm__monoid__mult T))))
% 115.17/115.50  (assume a809 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 115.17/115.50  (assume a810 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_Ring__and__Field_Osemiring__1 T))))
% 115.17/115.50  (assume a811 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_Ring__and__Field_Oaxclass__0__neq__1 T))))
% 115.17/115.50  (assume a812 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 115.17/115.50  (assume a813 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 115.17/115.50  (assume a814 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 115.17/115.50  (assume a815 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.50  (assume a816 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Odivision__by__zero T)) (tptp.class_HOL_Oinverse T))))
% 115.17/115.50  (assume a817 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Ocomm__ring__1 T))))
% 115.17/115.50  (assume a818 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Ocomm__ring T))))
% 115.17/115.50  (assume a819 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Osemiring__1 T))))
% 115.17/115.50  (assume a820 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Oaxclass__0__neq__1 T))))
% 115.17/115.50  (assume a821 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_OrderedGroup_Omonoid__mult T))))
% 115.17/115.50  (assume a822 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_HOL_Oone T))))
% 115.17/115.50  (assume a823 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T))))
% 115.17/115.50  (assume a824 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0 T))))
% 115.17/115.50  (assume a825 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Ocomm__semiring T))))
% 115.17/115.50  (assume a826 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 115.17/115.50  (assume a827 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 115.17/115.50  (assume a828 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 115.17/115.50  (assume a829 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Oring__1 T))))
% 115.17/115.50  (assume a830 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 115.17/115.50  (assume a831 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 115.17/115.50  (assume a832 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_HOL_Otimes T))))
% 115.17/115.50  (assume a833 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 115.17/115.50  (assume a834 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.50  (assume a835 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a836 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.50  (assume a837 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 115.17/115.50  (assume a838 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.50  (assume a839 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.50  (assume a840 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Oring T))))
% 115.17/115.50  (assume a841 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_HOL_Oinverse T))))
% 115.17/115.50  (assume a842 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Oidom T))))
% 115.17/115.50  (assume a843 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Oaxclass__no__zero__divisors T))))
% 115.17/115.50  (assume a844 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 115.17/115.50  (assume a845 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_HOL_Ominus T))))
% 115.17/115.50  (assume a846 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T))))
% 115.17/115.50  (assume a847 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 T))))
% 115.17/115.50  (assume a848 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_OrderedGroup_Ocomm__monoid__mult T))))
% 115.17/115.50  (assume a849 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_Ring__and__Field_Osemiring__1__cancel T))))
% 115.17/115.50  (assume a850 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_Ring__and__Field_Ocomm__ring__1 T))))
% 115.17/115.50  (assume a851 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_Ring__and__Field_Ocomm__ring T))))
% 115.17/115.50  (assume a852 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_Ring__and__Field_Osemiring__1 T))))
% 115.17/115.50  (assume a853 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_Ring__and__Field_Oaxclass__0__neq__1 T))))
% 115.17/115.50  (assume a854 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_OrderedGroup_Omonoid__mult T))))
% 115.17/115.50  (assume a855 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_HOL_Oone T))))
% 115.17/115.50  (assume a856 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T))))
% 115.17/115.50  (assume a857 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0 T))))
% 115.17/115.50  (assume a858 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_Ring__and__Field_Ocomm__semiring T))))
% 115.17/115.50  (assume a859 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 115.17/115.50  (assume a860 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 115.17/115.50  (assume a861 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 115.17/115.50  (assume a862 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_Ring__and__Field_Oring__1 T))))
% 115.17/115.50  (assume a863 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 115.17/115.50  (assume a864 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 115.17/115.50  (assume a865 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_HOL_Otimes T))))
% 115.17/115.50  (assume a866 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 115.17/115.50  (assume a867 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.50  (assume a868 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a869 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.50  (assume a870 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 115.17/115.50  (assume a871 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.50  (assume a872 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.50  (assume a873 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_Ring__and__Field_Oring T))))
% 115.17/115.50  (assume a874 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_Ring__and__Field_Oaxclass__no__zero__divisors T))))
% 115.17/115.50  (assume a875 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 115.17/115.50  (assume a876 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_HOL_Ominus T))))
% 115.17/115.50  (assume a877 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T))))
% 115.17/115.50  (assume a878 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 T))))
% 115.17/115.50  (assume a879 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_OrderedGroup_Ocomm__monoid__mult T))))
% 115.17/115.50  (assume a880 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T)) (tptp.class_Ring__and__Field_Osemiring__1__cancel T))))
% 115.17/115.50  (assume a881 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_Ring__and__Field_Opordered__ring T))))
% 115.17/115.50  (assume a882 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_Ring__and__Field_Oring T))))
% 115.17/115.50  (assume a883 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_Orderings_Oorder T))))
% 115.17/115.50  (assume a884 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_Orderings_Oord T))))
% 115.17/115.50  (assume a885 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 115.17/115.50  (assume a886 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 115.17/115.50  (assume a887 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 115.17/115.50  (assume a888 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 115.17/115.50  (assume a889 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_HOL_Otimes T))))
% 115.17/115.50  (assume a890 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 115.17/115.50  (assume a891 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.50  (assume a892 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a893 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T))))
% 115.17/115.50  (assume a894 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.50  (assume a895 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 115.17/115.50  (assume a896 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.50  (assume a897 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.50  (assume a898 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_OrderedGroup_Olordered__ab__group__abs T))))
% 115.17/115.50  (assume a899 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_OrderedGroup_Olordered__ab__group T))))
% 115.17/115.50  (assume a900 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_LOrder_Olorder T))))
% 115.17/115.50  (assume a901 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_LOrder_Ojoin__semilorder T))))
% 115.17/115.50  (assume a902 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_LOrder_Omeet__semilorder T))))
% 115.17/115.50  (assume a903 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_OrderedGroup_Olordered__ab__group__meet T))))
% 115.17/115.50  (assume a904 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 115.17/115.50  (assume a905 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_OrderedGroup_Olordered__ab__group__join T))))
% 115.17/115.50  (assume a906 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_HOL_Ominus T))))
% 115.17/115.50  (assume a907 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T))))
% 115.17/115.50  (assume a908 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a909 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_Ring__and__Field_Opordered__cancel__semiring T))))
% 115.17/115.50  (assume a910 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_Ring__and__Field_Opordered__semiring T))))
% 115.17/115.50  (assume a911 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Olordered__ring T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 115.17/115.50  (assume a912 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0 T))))
% 115.17/115.50  (assume a913 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_Ring__and__Field_Ocomm__semiring T))))
% 115.17/115.50  (assume a914 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.50  (assume a915 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.50  (assume a916 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a917 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_Orderings_Olinorder T))))
% 115.17/115.50  (assume a918 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_LOrder_Olorder T))))
% 115.17/115.50  (assume a919 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_LOrder_Ojoin__semilorder T))))
% 115.17/115.50  (assume a920 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_LOrder_Omeet__semilorder T))))
% 115.17/115.50  (assume a921 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T))))
% 115.17/115.50  (assume a922 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a923 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 115.17/115.50  (assume a924 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 115.17/115.50  (assume a925 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_Orderings_Oorder T))))
% 115.17/115.50  (assume a926 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_Orderings_Oord T))))
% 115.17/115.50  (assume a927 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a928 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 115.17/115.50  (assume a929 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_Ring__and__Field_Oordered__semiring__strict T))))
% 115.17/115.50  (assume a930 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_Ring__and__Field_Opordered__cancel__semiring T))))
% 115.17/115.50  (assume a931 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 115.17/115.50  (assume a932 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_Ring__and__Field_Opordered__semiring T))))
% 115.17/115.50  (assume a933 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T))))
% 115.17/115.50  (assume a934 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_Ring__and__Field_Opordered__comm__semiring T))))
% 115.17/115.50  (assume a935 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 115.17/115.50  (assume a936 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 115.17/115.50  (assume a937 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 115.17/115.50  (assume a938 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_HOL_Otimes T))))
% 115.17/115.50  (assume a939 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 115.17/115.50  (assume a940 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.50  (assume a941 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.50  (assume a942 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Ofield T))))
% 115.17/115.50  (assume a943 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_HOL_Oinverse T))))
% 115.17/115.50  (assume a944 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 T))))
% 115.17/115.50  (assume a945 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Ocomm__monoid__mult T))))
% 115.17/115.50  (assume a946 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Osemiring__1__cancel T))))
% 115.17/115.50  (assume a947 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Osemiring__1 T))))
% 115.17/115.50  (assume a948 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Oaxclass__0__neq__1 T))))
% 115.17/115.50  (assume a949 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Omonoid__mult T))))
% 115.17/115.50  (assume a950 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_HOL_Oone T))))
% 115.17/115.50  (assume a951 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T))))
% 115.17/115.50  (assume a952 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0 T))))
% 115.17/115.50  (assume a953 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Ocomm__semiring T))))
% 115.17/115.50  (assume a954 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Oidom T))))
% 115.17/115.50  (assume a955 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 115.17/115.50  (assume a956 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 115.17/115.50  (assume a957 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 115.17/115.50  (assume a958 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 115.17/115.50  (assume a959 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 115.17/115.50  (assume a960 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 115.17/115.50  (assume a961 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a962 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.50  (assume a963 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 115.17/115.50  (assume a964 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.50  (assume a965 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Ocomm__ring__1 T))))
% 115.17/115.50  (assume a966 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.50  (assume a967 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Oaxclass__no__zero__divisors T))))
% 115.17/115.50  (assume a968 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.50  (assume a969 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_HOL_Otimes T))))
% 115.17/115.50  (assume a970 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Oordered__idom T))))
% 115.17/115.50  (assume a971 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T))))
% 115.17/115.50  (assume a972 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T))))
% 115.17/115.50  (assume a973 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Opordered__comm__semiring T))))
% 115.17/115.50  (assume a974 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Oordered__ring__strict T))))
% 115.17/115.50  (assume a975 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Oordered__semiring__strict T))))
% 115.17/115.50  (assume a976 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Ocomm__ring T))))
% 115.17/115.50  (assume a977 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a978 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Orderings_Olinorder T))))
% 115.17/115.50  (assume a979 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Oaxclass__abs__if T))))
% 115.17/115.50  (assume a980 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Olordered__ring T))))
% 115.17/115.50  (assume a981 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Opordered__ring T))))
% 115.17/115.50  (assume a982 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Opordered__cancel__semiring T))))
% 115.17/115.50  (assume a983 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Opordered__semiring T))))
% 115.17/115.50  (assume a984 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Olordered__ab__group__abs T))))
% 115.17/115.50  (assume a985 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Olordered__ab__group__meet T))))
% 115.17/115.50  (assume a986 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Olordered__ab__group__join T))))
% 115.17/115.50  (assume a987 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Oring__1 T))))
% 115.17/115.50  (assume a988 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Olordered__ab__group T))))
% 115.17/115.50  (assume a989 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_LOrder_Olorder T))))
% 115.17/115.50  (assume a990 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_LOrder_Ojoin__semilorder T))))
% 115.17/115.50  (assume a991 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_LOrder_Omeet__semilorder T))))
% 115.17/115.50  (assume a992 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T))))
% 115.17/115.50  (assume a993 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T))))
% 115.17/115.50  (assume a994 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a995 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 115.17/115.50  (assume a996 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Orderings_Oorder T))))
% 115.17/115.50  (assume a997 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Orderings_Oord T))))
% 115.17/115.50  (assume a998 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Oring T))))
% 115.17/115.50  (assume a999 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Oordered__semidom T))))
% 115.17/115.50  (assume a1000 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 115.17/115.50  (assume a1001 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_HOL_Ominus T))))
% 115.17/115.50  (assume a1002 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T))))
% 115.17/115.50  (assume a1003 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Ocomm__ring__1 T))))
% 115.17/115.50  (assume a1004 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Ocomm__ring T))))
% 115.17/115.50  (assume a1005 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Osemiring__1 T))))
% 115.17/115.50  (assume a1006 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Oaxclass__0__neq__1 T))))
% 115.17/115.50  (assume a1007 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Omonoid__mult T))))
% 115.17/115.50  (assume a1008 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_HOL_Oone T))))
% 115.17/115.50  (assume a1009 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T))))
% 115.17/115.50  (assume a1010 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0 T))))
% 115.17/115.50  (assume a1011 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Ocomm__semiring T))))
% 115.17/115.50  (assume a1012 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 115.17/115.50  (assume a1013 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 115.17/115.50  (assume a1014 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 115.17/115.50  (assume a1015 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Oring__1 T))))
% 115.17/115.50  (assume a1016 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 115.17/115.50  (assume a1017 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 115.17/115.50  (assume a1018 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_HOL_Otimes T))))
% 115.17/115.50  (assume a1019 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 115.17/115.50  (assume a1020 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.50  (assume a1021 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a1022 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.50  (assume a1023 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 115.17/115.50  (assume a1024 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.50  (assume a1025 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.50  (assume a1026 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Oring T))))
% 115.17/115.50  (assume a1027 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T))))
% 115.17/115.50  (assume a1028 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Oordered__semiring__strict T))))
% 115.17/115.50  (assume a1029 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a1030 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Orderings_Olinorder T))))
% 115.17/115.50  (assume a1031 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_LOrder_Olorder T))))
% 115.17/115.50  (assume a1032 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_LOrder_Ojoin__semilorder T))))
% 115.17/115.50  (assume a1033 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_LOrder_Omeet__semilorder T))))
% 115.17/115.50  (assume a1034 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T))))
% 115.17/115.50  (assume a1035 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a1036 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T))))
% 115.17/115.50  (assume a1037 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 115.17/115.50  (assume a1038 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Opordered__cancel__semiring T))))
% 115.17/115.50  (assume a1039 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Opordered__comm__semiring T))))
% 115.17/115.50  (assume a1040 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Opordered__semiring T))))
% 115.17/115.50  (assume a1041 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 115.17/115.50  (assume a1042 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Orderings_Oorder T))))
% 115.17/115.50  (assume a1043 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Orderings_Oord T))))
% 115.17/115.50  (assume a1044 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Oaxclass__abs__if T))))
% 115.17/115.50  (assume a1045 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Oordered__ring__strict T))))
% 115.17/115.50  (assume a1046 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Olordered__ring T))))
% 115.17/115.50  (assume a1047 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Opordered__ring T))))
% 115.17/115.50  (assume a1048 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_HOL_Ominus T))))
% 115.17/115.50  (assume a1049 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Olordered__ab__group__abs T))))
% 115.17/115.50  (assume a1050 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Olordered__ab__group__meet T))))
% 115.17/115.50  (assume a1051 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Olordered__ab__group__join T))))
% 115.17/115.50  (assume a1052 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Olordered__ab__group T))))
% 115.17/115.50  (assume a1053 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T))))
% 115.17/115.50  (assume a1054 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Oordered__semidom T))))
% 115.17/115.50  (assume a1055 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Oaxclass__no__zero__divisors T))))
% 115.17/115.50  (assume a1056 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Oidom T))))
% 115.17/115.50  (assume a1057 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T))))
% 115.17/115.50  (assume a1058 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 T))))
% 115.17/115.50  (assume a1059 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Ocomm__monoid__mult T))))
% 115.17/115.50  (assume a1060 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Osemiring__1__cancel T))))
% 115.17/115.50  (assume a1061 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_Ring__and__Field_Oring T))))
% 115.17/115.50  (assume a1062 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 115.17/115.50  (assume a1063 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 115.17/115.50  (assume a1064 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.50  (assume a1065 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.50  (assume a1066 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.50  (assume a1067 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.50  (assume a1068 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_Ring__and__Field_Oordered__semiring__strict T))))
% 115.17/115.50  (assume a1069 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a1070 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_Orderings_Olinorder T))))
% 115.17/115.50  (assume a1071 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_LOrder_Olorder T))))
% 115.17/115.50  (assume a1072 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_LOrder_Ojoin__semilorder T))))
% 115.17/115.50  (assume a1073 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_HOL_Ominus T))))
% 115.17/115.50  (assume a1074 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_LOrder_Omeet__semilorder T))))
% 115.17/115.50  (assume a1075 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T))))
% 115.17/115.50  (assume a1076 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a1077 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_Ring__and__Field_Opordered__cancel__semiring T))))
% 115.17/115.50  (assume a1078 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_Ring__and__Field_Opordered__semiring T))))
% 115.17/115.50  (assume a1079 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 115.17/115.50  (assume a1080 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_Orderings_Oorder T))))
% 115.17/115.50  (assume a1081 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_Orderings_Oord T))))
% 115.17/115.50  (assume a1082 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_Ring__and__Field_Oaxclass__abs__if T))))
% 115.17/115.50  (assume a1083 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_OrderedGroup_Olordered__ab__group T))))
% 115.17/115.50  (assume a1084 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 115.17/115.50  (assume a1085 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T))))
% 115.17/115.50  (assume a1086 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_Ring__and__Field_Olordered__ring T))))
% 115.17/115.50  (assume a1087 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_Ring__and__Field_Opordered__ring T))))
% 115.17/115.50  (assume a1088 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_OrderedGroup_Olordered__ab__group__abs T))))
% 115.17/115.50  (assume a1089 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_OrderedGroup_Olordered__ab__group__meet T))))
% 115.17/115.50  (assume a1090 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_OrderedGroup_Olordered__ab__group__join T))))
% 115.17/115.50  (assume a1091 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_Ring__and__Field_Oaxclass__no__zero__divisors T))))
% 115.17/115.50  (assume a1092 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a1093 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 115.17/115.50  (assume a1094 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 115.17/115.50  (assume a1095 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 115.17/115.50  (assume a1096 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 115.17/115.50  (assume a1097 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__ring__strict T)) (tptp.class_HOL_Otimes T))))
% 115.17/115.50  (assume a1098 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1__cancel T))))
% 115.17/115.50  (assume a1099 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Ring__and__Field_Ocomm__semiring__1 T))))
% 115.17/115.50  (assume a1100 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Ring__and__Field_Ocomm__semiring T))))
% 115.17/115.50  (assume a1101 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 115.17/115.50  (assume a1102 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 115.17/115.50  (assume a1103 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 115.17/115.50  (assume a1104 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 115.17/115.50  (assume a1105 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 115.17/115.50  (assume a1106 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_HOL_Otimes T))))
% 115.17/115.50  (assume a1107 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 115.17/115.50  (assume a1108 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.50  (assume a1109 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a1110 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_OrderedGroup_Ocomm__monoid__mult T))))
% 115.17/115.50  (assume a1111 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.50  (assume a1112 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 115.17/115.50  (assume a1113 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.50  (assume a1114 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.50  (assume a1115 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict T))))
% 115.17/115.50  (assume a1116 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Ring__and__Field_Oordered__semiring__strict T))))
% 115.17/115.50  (assume a1117 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a1118 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Orderings_Olinorder T))))
% 115.17/115.50  (assume a1119 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_LOrder_Olorder T))))
% 115.17/115.50  (assume a1120 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_LOrder_Ojoin__semilorder T))))
% 115.17/115.50  (assume a1121 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Ring__and__Field_Osemiring__1__cancel T))))
% 115.17/115.50  (assume a1122 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_LOrder_Omeet__semilorder T))))
% 115.17/115.50  (assume a1123 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T))))
% 115.17/115.50  (assume a1124 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a1125 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T))))
% 115.17/115.50  (assume a1126 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Ring__and__Field_Opordered__cancel__semiring T))))
% 115.17/115.50  (assume a1127 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Ring__and__Field_Opordered__comm__semiring T))))
% 115.17/115.50  (assume a1128 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Ring__and__Field_Opordered__semiring T))))
% 115.17/115.50  (assume a1129 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 115.17/115.50  (assume a1130 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Orderings_Oorder T))))
% 115.17/115.50  (assume a1131 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Orderings_Oord T))))
% 115.17/115.50  (assume a1132 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Ring__and__Field_Osemiring__1 T))))
% 115.17/115.50  (assume a1133 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Ring__and__Field_Oaxclass__0__neq__1 T))))
% 115.17/115.50  (assume a1134 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_OrderedGroup_Omonoid__mult T))))
% 115.17/115.50  (assume a1135 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_HOL_Oone T))))
% 115.17/115.50  (assume a1136 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T))))
% 115.17/115.50  (assume a1137 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0 T))))
% 115.17/115.50  (assume a1138 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 115.17/115.50  (assume a1139 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 115.17/115.50  (assume a1140 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_Orderings_Olinorder T))))
% 115.17/115.50  (assume a1141 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_LOrder_Olorder T))))
% 115.17/115.50  (assume a1142 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_LOrder_Ojoin__semilorder T))))
% 115.17/115.50  (assume a1143 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_LOrder_Omeet__semilorder T))))
% 115.17/115.50  (assume a1144 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T))))
% 115.17/115.50  (assume a1145 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a1146 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 115.17/115.50  (assume a1147 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_Orderings_Oorder T))))
% 115.17/115.50  (assume a1148 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_Orderings_Oord T))))
% 115.17/115.50  (assume a1149 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a1150 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 115.17/115.50  (assume a1151 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 115.17/115.50  (assume a1152 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 115.17/115.50  (assume a1153 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_Ring__and__Field_Opordered__cancel__semiring T))))
% 115.17/115.50  (assume a1154 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_Ring__and__Field_Opordered__semiring T))))
% 115.17/115.50  (assume a1155 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_HOL_Otimes T))))
% 115.17/115.50  (assume a1156 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 115.17/115.50  (assume a1157 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.50  (assume a1158 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.50  (assume a1159 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.50  (assume a1160 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.50  (assume a1161 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semiring__strict T)) (tptp.class_OrderedGroup_Oordered__cancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a1162 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_Ring__and__Field_Opordered__comm__semiring T))))
% 115.17/115.50  (assume a1163 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0 T))))
% 115.17/115.50  (assume a1164 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 115.17/115.50  (assume a1165 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.50  (assume a1166 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.50  (assume a1167 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.50  (assume a1168 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_Orderings_Oorder T))))
% 115.17/115.50  (assume a1169 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_Orderings_Oord T))))
% 115.17/115.50  (assume a1170 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a1171 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 115.17/115.50  (assume a1172 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_Ring__and__Field_Opordered__semiring T))))
% 115.17/115.50  (assume a1173 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_Ring__and__Field_Opordered__cancel__semiring T))))
% 115.17/115.50  (assume a1174 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_Ring__and__Field_Ocomm__semiring T))))
% 115.17/115.50  (assume a1175 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 115.17/115.50  (assume a1176 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 115.17/115.50  (assume a1177 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 115.17/115.50  (assume a1178 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 115.17/115.50  (assume a1179 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 115.17/115.50  (assume a1180 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_HOL_Otimes T))))
% 115.17/115.50  (assume a1181 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 115.17/115.50  (assume a1182 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__comm__semiring T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.50  (assume a1183 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T)) (tptp.class_Ring__and__Field_Opordered__semiring T))))
% 115.17/115.50  (assume a1184 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 115.17/115.50  (assume a1185 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.50  (assume a1186 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T)) (tptp.class_Orderings_Oorder T))))
% 115.17/115.50  (assume a1187 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T)) (tptp.class_Orderings_Oord T))))
% 115.17/115.50  (assume a1188 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a1189 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 115.17/115.50  (assume a1190 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 115.17/115.50  (assume a1191 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 115.17/115.50  (assume a1192 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 115.17/115.50  (assume a1193 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T)) (tptp.class_HOL_Otimes T))))
% 115.17/115.50  (assume a1194 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 115.17/115.50  (assume a1195 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.50  (assume a1196 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 115.17/115.50  (assume a1197 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.50  (assume a1198 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.50  (assume a1199 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_Ring__and__Field_Ocomm__ring T))))
% 115.17/115.50  (assume a1200 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_Ring__and__Field_Oring T))))
% 115.17/115.50  (assume a1201 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 115.17/115.50  (assume a1202 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 115.17/115.50  (assume a1203 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_HOL_Otimes T))))
% 115.17/115.50  (assume a1204 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 115.17/115.50  (assume a1205 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.50  (assume a1206 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a1207 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.50  (assume a1208 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 115.17/115.50  (assume a1209 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.50  (assume a1210 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.50  (assume a1211 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 115.17/115.50  (assume a1212 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_Ring__and__Field_Opordered__comm__semiring T))))
% 115.17/115.50  (assume a1213 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_Ring__and__Field_Opordered__semiring T))))
% 115.17/115.50  (assume a1214 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 115.17/115.50  (assume a1215 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_Orderings_Oorder T))))
% 115.17/115.50  (assume a1216 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_Orderings_Oord T))))
% 115.17/115.50  (assume a1217 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_HOL_Ominus T))))
% 115.17/115.50  (assume a1218 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0__cancel T))))
% 115.17/115.50  (assume a1219 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0 T))))
% 115.17/115.50  (assume a1220 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_Ring__and__Field_Ocomm__semiring T))))
% 115.17/115.50  (assume a1221 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 115.17/115.50  (assume a1222 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 115.17/115.50  (assume a1223 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__ring T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 115.17/115.50  (assume a1224 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__semiring T)) (tptp.class_Ring__and__Field_Ocomm__semiring__0 T))))
% 115.17/115.50  (assume a1225 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__semiring T)) (tptp.class_Ring__and__Field_Ocomm__semiring T))))
% 115.17/115.50  (assume a1226 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__semiring T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.50  (assume a1227 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__semiring T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.50  (assume a1228 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__semiring T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 115.17/115.50  (assume a1229 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__semiring T)) (tptp.class_Orderings_Oorder T))))
% 115.17/115.50  (assume a1230 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__semiring T)) (tptp.class_Orderings_Oord T))))
% 115.17/115.50  (assume a1231 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__semiring T)) (tptp.class_Ring__and__Field_Opordered__semiring T))))
% 115.17/115.50  (assume a1232 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__semiring T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))
% 115.17/115.50  (assume a1233 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__semiring T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 115.17/115.50  (assume a1234 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__semiring T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 115.17/115.50  (assume a1235 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__semiring T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 115.17/115.50  (assume a1236 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__semiring T)) (tptp.class_HOL_Otimes T))))
% 115.17/115.50  (assume a1237 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__semiring T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 115.17/115.50  (assume a1238 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__semiring T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.50  (assume a1239 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__comm__semiring T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.50  (assume a1240 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_Ring__and__Field_Oring T))))
% 115.17/115.50  (assume a1241 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 115.17/115.50  (assume a1242 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 115.17/115.50  (assume a1243 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.50  (assume a1244 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.50  (assume a1245 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.50  (assume a1246 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.50  (assume a1247 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_Ring__and__Field_Opordered__semiring T))))
% 115.17/115.50  (assume a1248 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 115.17/115.50  (assume a1249 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_Orderings_Oorder T))))
% 115.17/115.50  (assume a1250 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_Orderings_Oord T))))
% 115.17/115.50  (assume a1251 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T))))
% 115.17/115.50  (assume a1252 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_HOL_Ominus T))))
% 115.17/115.50  (assume a1253 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T))))
% 115.17/115.50  (assume a1254 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a1255 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_Ring__and__Field_Opordered__cancel__semiring T))))
% 115.17/115.50  (assume a1256 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 115.17/115.50  (assume a1257 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a1258 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 115.17/115.50  (assume a1259 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 115.17/115.50  (assume a1260 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 115.17/115.50  (assume a1261 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 115.17/115.50  (assume a1262 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__ring T)) (tptp.class_HOL_Otimes T))))
% 115.17/115.50  (assume a1263 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 115.17/115.50  (assume a1264 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 115.17/115.50  (assume a1265 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T)) (tptp.class_Orderings_Oorder T))))
% 115.17/115.50  (assume a1266 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T)) (tptp.class_Orderings_Oord T))))
% 115.17/115.50  (assume a1267 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 115.17/115.50  (assume a1268 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T)) (tptp.class_HOL_Otimes T))))
% 115.17/115.50  (assume a1269 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 115.17/115.50  (assume a1270 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.50  (assume a1271 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.50  (assume a1272 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.50  (assume a1273 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.50  (assume a1274 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add T))))
% 115.17/115.50  (assume a1275 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 115.17/115.50  (assume a1276 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.50  (assume a1277 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a1278 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 115.17/115.50  (assume a1279 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 115.17/115.50  (assume a1280 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 115.17/115.50  (assume a1281 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.50  (assume a1282 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.50  (assume a1283 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 115.17/115.50  (assume a1284 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T)) (tptp.class_HOL_Otimes T))))
% 115.17/115.50  (assume a1285 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 115.17/115.50  (assume a1286 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T)) (tptp.class_HOL_Ominus T))))
% 115.17/115.50  (assume a1287 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 115.17/115.50  (assume a1288 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.50  (assume a1289 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_Ring__and__Field_Oring T))))
% 115.17/115.50  (assume a1290 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_OrderedGroup_Oab__group__add T))))
% 115.17/115.50  (assume a1291 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 115.17/115.50  (assume a1292 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.50  (assume a1293 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.50  (assume a1294 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.50  (assume a1295 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.50  (assume a1296 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_Ring__and__Field_Osemiring__1 T))))
% 115.17/115.50  (assume a1297 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_Ring__and__Field_Oaxclass__0__neq__1 T))))
% 115.17/115.50  (assume a1298 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_OrderedGroup_Omonoid__mult T))))
% 115.17/115.50  (assume a1299 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_HOL_Oone T))))
% 115.17/115.50  (assume a1300 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_Ring__and__Field_Osemiring__1__cancel T))))
% 115.17/115.50  (assume a1301 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_HOL_Ominus T))))
% 115.17/115.50  (assume a1302 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 115.17/115.50  (assume a1303 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a1304 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 115.17/115.50  (assume a1305 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 115.17/115.50  (assume a1306 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 115.17/115.50  (assume a1307 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 115.17/115.50  (assume a1308 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oring__1 T)) (tptp.class_HOL_Otimes T))))
% 115.17/115.50  (assume a1309 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.50  (assume a1310 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.50  (assume a1311 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.50  (assume a1312 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 115.17/115.50  (assume a1313 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring T)) (tptp.class_HOL_Otimes T))))
% 115.17/115.50  (assume a1314 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0 T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 115.17/115.50  (assume a1315 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0 T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.50  (assume a1316 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0 T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.50  (assume a1317 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0 T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.50  (assume a1318 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0 T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 115.17/115.50  (assume a1319 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0 T)) (tptp.class_HOL_Otimes T))))
% 115.17/115.50  (assume a1320 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0 T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 115.17/115.50  (assume a1321 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0 T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.50  (assume a1322 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0__cancel T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 115.17/115.50  (assume a1323 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0__cancel T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 115.17/115.50  (assume a1324 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0__cancel T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 115.17/115.50  (assume a1325 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0__cancel T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 115.17/115.50  (assume a1326 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0__cancel T)) (tptp.class_HOL_Otimes T))))
% 115.17/115.50  (assume a1327 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0__cancel T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 115.17/115.50  (assume a1328 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0__cancel T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.50  (assume a1329 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0__cancel T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.50  (assume a1330 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0__cancel T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.50  (assume a1331 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0__cancel T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.50  (assume a1332 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__0__cancel T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a1333 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T)) (tptp.class_Ring__and__Field_Oaxclass__0__neq__1 T))))
% 115.17/115.50  (assume a1334 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.50  (assume a1335 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.50  (assume a1336 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T)) (tptp.class_OrderedGroup_Omonoid__mult T))))
% 115.17/115.50  (assume a1337 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T)) (tptp.class_HOL_Oone T))))
% 115.17/115.50  (assume a1338 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 115.17/115.50  (assume a1339 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 115.17/115.50  (assume a1340 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 115.17/115.50  (assume a1341 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T)) (tptp.class_HOL_Otimes T))))
% 115.17/115.50  (assume a1342 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 115.17/115.50  (assume a1343 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.50  (assume a1344 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.50  (assume a1345 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1__cancel T)) (tptp.class_Ring__and__Field_Osemiring__1 T))))
% 115.17/115.50  (assume a1346 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1__cancel T)) (tptp.class_Ring__and__Field_Oaxclass__0__neq__1 T))))
% 115.17/115.50  (assume a1347 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1__cancel T)) (tptp.class_HOL_Oone T))))
% 115.17/115.50  (assume a1348 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1__cancel T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))
% 115.17/115.50  (assume a1349 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1__cancel T)) (tptp.class_HOL_Otimes T))))
% 115.17/115.50  (assume a1350 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1__cancel T)) (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T))))
% 115.17/115.50  (assume a1351 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1__cancel T)) (tptp.class_OrderedGroup_Ocancel__semigroup__add T))))
% 115.17/115.50  (assume a1352 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1__cancel T)) (tptp.class_Ring__and__Field_Osemiring__0__cancel T))))
% 115.17/115.50  (assume a1353 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1__cancel T)) (tptp.class_Ring__and__Field_Osemiring__0 T))))
% 115.17/115.50  (assume a1354 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1__cancel T)) (tptp.class_Ring__and__Field_Osemiring T))))
% 115.17/115.50  (assume a1355 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1__cancel T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))
% 115.17/115.50  (assume a1356 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1__cancel T)) (tptp.class_HOL_Ozero T))))
% 115.17/115.50  (assume a1357 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1__cancel T)) (tptp.class_OrderedGroup_Oab__semigroup__add T))))
% 115.17/115.50  (assume a1358 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1__cancel T)) (tptp.class_OrderedGroup_Osemigroup__add T))))
% 115.17/115.50  (assume a1359 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1__cancel T)) (tptp.class_HOL_Oplus T))))
% 115.17/115.50  (assume a1360 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1__cancel T)) (tptp.class_OrderedGroup_Omonoid__mult T))))
% 115.17/115.50  (assume a1361 (forall ((T $$unsorted)) (or (not (tptp.class_Wellfounded__Recursion_Owellorder T)) (tptp.class_Orderings_Oord T))))
% 115.17/115.50  (assume a1362 (forall ((T $$unsorted)) (or (not (tptp.class_Wellfounded__Recursion_Owellorder T)) (tptp.class_Orderings_Oorder T))))
% 115.17/115.50  (assume a1363 (forall ((T $$unsorted)) (or (not (tptp.class_Wellfounded__Recursion_Owellorder T)) (tptp.class_LOrder_Omeet__semilorder T))))
% 115.17/115.50  (assume a1364 (forall ((T $$unsorted)) (or (not (tptp.class_Wellfounded__Recursion_Owellorder T)) (tptp.class_LOrder_Ojoin__semilorder T))))
% 115.17/115.50  (assume a1365 (forall ((T $$unsorted)) (or (not (tptp.class_Wellfounded__Recursion_Owellorder T)) (tptp.class_LOrder_Olorder T))))
% 115.17/115.50  (assume a1366 (forall ((T $$unsorted)) (or (not (tptp.class_Wellfounded__Recursion_Owellorder T)) (tptp.class_Orderings_Olinorder T))))
% 115.17/115.50  (assume a1367 (forall ((V_p $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_minus V_A V_B (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_A V_C (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_minus V_C V_B (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) T_a) (tptp.tc_PropLog_Opl T_a)))))
% 115.17/115.50  (assume a1368 (forall ((V_q $$unsorted) (V_p $$unsorted) (V_H $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_q (tptp.c_PropLog_Othms (tptp.c_insert V_p V_H (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 V_p V_q T_a) (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a)))))
% 115.17/115.50  (assume a1369 (forall ((V_p $$unsorted) (V_t $$unsorted) (V_v $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_PropLog_Ohyps V_p (tptp.c_minus V_t (tptp.c_insert V_v tptp.c_emptyset T_a) (tptp.tc_set T_a)) T_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar V_v T_a) tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_minus (tptp.c_PropLog_Ohyps V_p V_t T_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar V_v T_a) tptp.c_emptyset (tptp.tc_PropLog_Opl T_a)) (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) (tptp.tc_PropLog_Opl T_a)) (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))))
% 115.17/115.50  (assume a1370 (forall ((V_p $$unsorted) (V_v $$unsorted) (V_t $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_PropLog_Ohyps V_p (tptp.c_insert V_v V_t T_a) T_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar V_v T_a) (tptp.c_minus (tptp.c_PropLog_Ohyps V_p V_t T_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar V_v T_a) tptp.c_PropLog_Opl_Ofalse T_a) tptp.c_emptyset (tptp.tc_PropLog_Opl T_a)) (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) (tptp.tc_PropLog_Opl T_a)) (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))))
% 115.17/115.50  (assume a1371 (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (tptp.c_lessequals (tptp.c_minus V_B V_C (tptp.tc_set T_a)) (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_a V_C T_a) (tptp.tc_set T_a)) T_a) (tptp.tc_set T_a))))
% 115.17/115.50  (assume a1372 (forall ((V_a $$unsorted) (V_B $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_D $$unsorted)) (tptp.c_lessequals (tptp.c_minus (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_c tptp.c_emptyset T_a) (tptp.tc_set T_a)) T_a) V_D (tptp.tc_set T_a)) (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_c V_D T_a) (tptp.tc_set T_a)) T_a) (tptp.tc_set T_a))))
% 115.17/115.50  (assume a1373 (forall ((V_p $$unsorted) (V_H $$unsorted) (T_a $$unsorted) (V_q $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 V_p V_q T_a) V_H (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_q (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a)))))
% 115.17/115.50  (assume a1374 (forall ((V_q $$unsorted) (V_p $$unsorted) (V_H $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_q (tptp.c_PropLog_Othms (tptp.c_insert V_p V_H (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_in V_q (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 V_p tptp.c_PropLog_Opl_Ofalse T_a) V_H (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_q (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a)))))
% 115.17/115.50  (assume a1375 (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_G V_H (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a)))))
% 115.17/115.50  (assume a1376 (tptp.c_PropLog_Osat tptp.c_emptyset tptp.v_p tptp.t_a))
% 115.17/115.50  (assume a1377 (tptp.c_in tptp.v_F tptp.c_Finite__Set_OFinites (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))))
% 115.17/115.50  (assume a1378 (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a))))
% 115.17/115.50  (assume a1379 (forall ((V_U $$unsorted)) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p V_U tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))
% 115.17/115.50  (assume a1380 (tptp.c_in tptp.v_v tptp.c_UNIV tptp.t_a))
% 115.17/115.50  (assume a1381 (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))
% 115.17/115.50  (step t1 (cl (=> (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_G V_H (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_G V_H (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a))))) :rule implies_neg1)
% 115.17/115.50  (anchor :step t2)
% 115.17/115.50  (assume t2.a0 (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_G V_H (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a)))))
% 115.17/115.50  (step t2.t1 (cl (or (not (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_G V_H (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a))))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule forall_inst :args ((:= V_p tptp.v_p) (:= V_G (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (:= T_a tptp.t_a) (:= V_H (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)))))
% 115.17/115.50  (step t2.t2 (cl (not (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_G V_H (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a))))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule or :premises (t2.t1))
% 115.17/115.50  (step t2.t3 (cl (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t2.t2 t2.a0))
% 115.17/115.50  (step t2 (cl (not (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_G V_H (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a))))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule subproof :discharge (t2.a0))
% 115.17/115.50  (step t3 (cl (=> (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_G V_H (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t1 t2))
% 115.17/115.50  (step t4 (cl (=> (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_G V_H (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) (not (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule implies_neg2)
% 115.17/115.50  (step t5 (cl (=> (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_G V_H (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) (=> (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_G V_H (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule resolution :premises (t3 t4))
% 115.17/115.50  (step t6 (cl (=> (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_G V_H (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule contraction :premises (t5))
% 115.17/115.50  (step t7 (cl (not (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_G V_H (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a))))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule implies :premises (t6))
% 115.17/115.50  (step t8 (cl (not (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) :rule or_pos)
% 115.17/115.50  (step t9 (cl (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) (not (tptp.c_lessequals (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule reordering :premises (t8))
% 115.17/115.50  (step t10 (cl (not (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) :rule or_pos)
% 115.17/115.50  (step t11 (cl (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule reordering :premises (t10))
% 115.17/115.50  (step t12 (cl (not (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) :rule or_pos)
% 115.17/115.50  (step t13 (cl (not (tptp.c_lessequals (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) (not (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule reordering :premises (t12))
% 115.17/115.50  (step t14 (cl (=> (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (tptp.c_lessequals (tptp.c_minus V_B V_C (tptp.tc_set T_a)) (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_a V_C T_a) (tptp.tc_set T_a)) T_a) (tptp.tc_set T_a))) (tptp.c_lessequals (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (tptp.c_lessequals (tptp.c_minus V_B V_C (tptp.tc_set T_a)) (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_a V_C T_a) (tptp.tc_set T_a)) T_a) (tptp.tc_set T_a)))) :rule implies_neg1)
% 115.17/115.50  (anchor :step t15)
% 115.17/115.50  (assume t15.a0 (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (tptp.c_lessequals (tptp.c_minus V_B V_C (tptp.tc_set T_a)) (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_a V_C T_a) (tptp.tc_set T_a)) T_a) (tptp.tc_set T_a))))
% 115.17/115.50  (step t15.t1 (cl (or (not (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (tptp.c_lessequals (tptp.c_minus V_B V_C (tptp.tc_set T_a)) (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_a V_C T_a) (tptp.tc_set T_a)) T_a) (tptp.tc_set T_a)))) (tptp.c_lessequals (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))))) :rule forall_inst :args ((:= V_B (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a)) (:= V_C tptp.v_F) (:= T_a (tptp.tc_PropLog_Opl tptp.t_a)) (:= V_a (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a))))
% 115.17/115.50  (step t15.t2 (cl (not (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (tptp.c_lessequals (tptp.c_minus V_B V_C (tptp.tc_set T_a)) (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_a V_C T_a) (tptp.tc_set T_a)) T_a) (tptp.tc_set T_a)))) (tptp.c_lessequals (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) :rule or :premises (t15.t1))
% 115.17/115.50  (step t15.t3 (cl (tptp.c_lessequals (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t15.t2 t15.a0))
% 115.17/115.50  (step t15 (cl (not (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (tptp.c_lessequals (tptp.c_minus V_B V_C (tptp.tc_set T_a)) (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_a V_C T_a) (tptp.tc_set T_a)) T_a) (tptp.tc_set T_a)))) (tptp.c_lessequals (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) :rule subproof :discharge (t15.a0))
% 115.17/115.50  (step t16 (cl (=> (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (tptp.c_lessequals (tptp.c_minus V_B V_C (tptp.tc_set T_a)) (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_a V_C T_a) (tptp.tc_set T_a)) T_a) (tptp.tc_set T_a))) (tptp.c_lessequals (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_lessequals (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t14 t15))
% 115.17/115.50  (step t17 (cl (=> (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (tptp.c_lessequals (tptp.c_minus V_B V_C (tptp.tc_set T_a)) (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_a V_C T_a) (tptp.tc_set T_a)) T_a) (tptp.tc_set T_a))) (tptp.c_lessequals (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (not (tptp.c_lessequals (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))))) :rule implies_neg2)
% 115.17/115.50  (step t18 (cl (=> (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (tptp.c_lessequals (tptp.c_minus V_B V_C (tptp.tc_set T_a)) (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_a V_C T_a) (tptp.tc_set T_a)) T_a) (tptp.tc_set T_a))) (tptp.c_lessequals (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (=> (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (tptp.c_lessequals (tptp.c_minus V_B V_C (tptp.tc_set T_a)) (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_a V_C T_a) (tptp.tc_set T_a)) T_a) (tptp.tc_set T_a))) (tptp.c_lessequals (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))))) :rule resolution :premises (t16 t17))
% 115.17/115.50  (step t19 (cl (=> (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (tptp.c_lessequals (tptp.c_minus V_B V_C (tptp.tc_set T_a)) (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_a V_C T_a) (tptp.tc_set T_a)) T_a) (tptp.tc_set T_a))) (tptp.c_lessequals (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))))) :rule contraction :premises (t18))
% 115.17/115.50  (step t20 (cl (not (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (tptp.c_lessequals (tptp.c_minus V_B V_C (tptp.tc_set T_a)) (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_a V_C T_a) (tptp.tc_set T_a)) T_a) (tptp.tc_set T_a)))) (tptp.c_lessequals (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) :rule implies :premises (t19))
% 115.17/115.50  (step t21 (cl (tptp.c_lessequals (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t20 a1371))
% 115.17/115.50  (step t22 (cl (=> (forall ((V_U $$unsorted)) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p V_U tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (forall ((V_U $$unsorted)) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p V_U tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule implies_neg1)
% 115.17/115.50  (anchor :step t23)
% 115.17/115.50  (assume t23.a0 (forall ((V_U $$unsorted)) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p V_U tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))
% 115.17/115.50  (step t23.t1 (cl (or (not (forall ((V_U $$unsorted)) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p V_U tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule forall_inst :args ((:= V_U tptp.v_t)))
% 115.17/115.50  (step t23.t2 (cl (not (forall ((V_U $$unsorted)) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p V_U tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) :rule or :premises (t23.t1))
% 115.17/115.50  (step t23.t3 (cl (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) :rule resolution :premises (t23.t2 t23.a0))
% 115.17/115.50  (step t23 (cl (not (forall ((V_U $$unsorted)) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p V_U tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) :rule subproof :discharge (t23.a0))
% 115.17/115.50  (step t24 (cl (=> (forall ((V_U $$unsorted)) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p V_U tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) :rule resolution :premises (t22 t23))
% 115.17/115.50  (step t25 (cl (=> (forall ((V_U $$unsorted)) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p V_U tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule implies_neg2)
% 115.17/115.50  (step t26 (cl (=> (forall ((V_U $$unsorted)) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p V_U tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (=> (forall ((V_U $$unsorted)) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p V_U tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t24 t25))
% 115.17/115.50  (step t27 (cl (=> (forall ((V_U $$unsorted)) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p V_U tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule contraction :premises (t26))
% 115.17/115.50  (step t28 (cl (not (forall ((V_U $$unsorted)) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p V_U tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) :rule implies :premises (t27))
% 115.17/115.50  (step t29 (cl (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) :rule resolution :premises (t28 a1379))
% 115.17/115.50  (step t30 (cl (=> (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_G V_H (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_G V_H (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a))))) :rule implies_neg1)
% 115.17/115.50  (anchor :step t31)
% 115.17/115.50  (assume t31.a0 (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_G V_H (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a)))))
% 115.17/115.50  (step t31.t1 (cl (or (not (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_G V_H (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a))))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule forall_inst :args ((:= V_p tptp.v_p) (:= V_G (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (:= T_a tptp.t_a) (:= V_H (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)))))
% 115.17/115.50  (step t31.t2 (cl (not (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_G V_H (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a))))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule or :premises (t31.t1))
% 115.17/115.50  (step t31.t3 (cl (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t31.t2 t31.a0))
% 115.17/115.50  (step t31 (cl (not (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_G V_H (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a))))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule subproof :discharge (t31.a0))
% 115.17/115.50  (step t32 (cl (=> (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_G V_H (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t30 t31))
% 115.17/115.50  (step t33 (cl (=> (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_G V_H (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) (not (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule implies_neg2)
% 115.17/115.50  (step t34 (cl (=> (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_G V_H (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) (=> (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_G V_H (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule resolution :premises (t32 t33))
% 115.17/115.50  (step t35 (cl (=> (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_G V_H (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule contraction :premises (t34))
% 115.17/115.50  (step t36 (cl (not (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_G V_H (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a))))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule implies :premises (t35))
% 115.17/115.50  (step t37 (cl (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t36 a1375))
% 115.17/115.50  (step t38 (cl (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) :rule resolution :premises (t13 t21 t29 t37))
% 115.17/115.50  (step t39 (cl (=> (forall ((V_q $$unsorted) (V_p $$unsorted) (V_H $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_q (tptp.c_PropLog_Othms (tptp.c_insert V_p V_H (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_in V_q (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 V_p tptp.c_PropLog_Opl_Ofalse T_a) V_H (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_q (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) (forall ((V_q $$unsorted) (V_p $$unsorted) (V_H $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_q (tptp.c_PropLog_Othms (tptp.c_insert V_p V_H (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_in V_q (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 V_p tptp.c_PropLog_Opl_Ofalse T_a) V_H (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_q (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a))))) :rule implies_neg1)
% 115.17/115.50  (anchor :step t40)
% 115.17/115.50  (assume t40.a0 (forall ((V_q $$unsorted) (V_p $$unsorted) (V_H $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_q (tptp.c_PropLog_Othms (tptp.c_insert V_p V_H (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_in V_q (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 V_p tptp.c_PropLog_Opl_Ofalse T_a) V_H (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_q (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a)))))
% 115.17/115.50  (step t40.t1 (cl (or (not (forall ((V_q $$unsorted) (V_p $$unsorted) (V_H $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_q (tptp.c_PropLog_Othms (tptp.c_insert V_p V_H (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_in V_q (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 V_p tptp.c_PropLog_Opl_Ofalse T_a) V_H (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_q (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a))))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule forall_inst :args ((:= V_q tptp.v_p) (:= V_p (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a)) (:= V_H (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (:= T_a tptp.t_a)))
% 115.17/115.50  (step t40.t2 (cl (not (forall ((V_q $$unsorted) (V_p $$unsorted) (V_H $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_q (tptp.c_PropLog_Othms (tptp.c_insert V_p V_H (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_in V_q (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 V_p tptp.c_PropLog_Opl_Ofalse T_a) V_H (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_q (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a))))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule or :premises (t40.t1))
% 115.17/115.50  (step t40.t3 (cl (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t40.t2 t40.a0))
% 115.17/115.50  (step t40 (cl (not (forall ((V_q $$unsorted) (V_p $$unsorted) (V_H $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_q (tptp.c_PropLog_Othms (tptp.c_insert V_p V_H (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_in V_q (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 V_p tptp.c_PropLog_Opl_Ofalse T_a) V_H (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_q (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a))))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule subproof :discharge (t40.a0))
% 115.17/115.50  (step t41 (cl (=> (forall ((V_q $$unsorted) (V_p $$unsorted) (V_H $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_q (tptp.c_PropLog_Othms (tptp.c_insert V_p V_H (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_in V_q (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 V_p tptp.c_PropLog_Opl_Ofalse T_a) V_H (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_q (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t39 t40))
% 115.17/115.50  (step t42 (cl (=> (forall ((V_q $$unsorted) (V_p $$unsorted) (V_H $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_q (tptp.c_PropLog_Othms (tptp.c_insert V_p V_H (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_in V_q (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 V_p tptp.c_PropLog_Opl_Ofalse T_a) V_H (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_q (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) (not (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule implies_neg2)
% 115.17/115.50  (step t43 (cl (=> (forall ((V_q $$unsorted) (V_p $$unsorted) (V_H $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_q (tptp.c_PropLog_Othms (tptp.c_insert V_p V_H (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_in V_q (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 V_p tptp.c_PropLog_Opl_Ofalse T_a) V_H (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_q (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) (=> (forall ((V_q $$unsorted) (V_p $$unsorted) (V_H $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_q (tptp.c_PropLog_Othms (tptp.c_insert V_p V_H (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_in V_q (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 V_p tptp.c_PropLog_Opl_Ofalse T_a) V_H (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_q (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule resolution :premises (t41 t42))
% 115.17/115.50  (step t44 (cl (=> (forall ((V_q $$unsorted) (V_p $$unsorted) (V_H $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_q (tptp.c_PropLog_Othms (tptp.c_insert V_p V_H (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_in V_q (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 V_p tptp.c_PropLog_Opl_Ofalse T_a) V_H (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_q (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule contraction :premises (t43))
% 115.17/115.50  (step t45 (cl (not (forall ((V_q $$unsorted) (V_p $$unsorted) (V_H $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_q (tptp.c_PropLog_Othms (tptp.c_insert V_p V_H (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_in V_q (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 V_p tptp.c_PropLog_Opl_Ofalse T_a) V_H (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_q (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a))))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule implies :premises (t44))
% 115.17/115.50  (step t46 (cl (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t45 a1374))
% 115.17/115.50  (step t47 (cl (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t11 a1381 t38 t46))
% 115.17/115.50  (step t48 (cl (=> (forall ((V_a $$unsorted) (V_B $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_D $$unsorted)) (tptp.c_lessequals (tptp.c_minus (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_c tptp.c_emptyset T_a) (tptp.tc_set T_a)) T_a) V_D (tptp.tc_set T_a)) (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_c V_D T_a) (tptp.tc_set T_a)) T_a) (tptp.tc_set T_a))) (tptp.c_lessequals (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (forall ((V_a $$unsorted) (V_B $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_D $$unsorted)) (tptp.c_lessequals (tptp.c_minus (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_c tptp.c_emptyset T_a) (tptp.tc_set T_a)) T_a) V_D (tptp.tc_set T_a)) (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_c V_D T_a) (tptp.tc_set T_a)) T_a) (tptp.tc_set T_a)))) :rule implies_neg1)
% 115.17/115.50  (anchor :step t49)
% 115.17/115.50  (assume t49.a0 (forall ((V_a $$unsorted) (V_B $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_D $$unsorted)) (tptp.c_lessequals (tptp.c_minus (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_c tptp.c_emptyset T_a) (tptp.tc_set T_a)) T_a) V_D (tptp.tc_set T_a)) (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_c V_D T_a) (tptp.tc_set T_a)) T_a) (tptp.tc_set T_a))))
% 115.17/115.50  (step t49.t1 (cl (or (not (forall ((V_a $$unsorted) (V_B $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_D $$unsorted)) (tptp.c_lessequals (tptp.c_minus (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_c tptp.c_emptyset T_a) (tptp.tc_set T_a)) T_a) V_D (tptp.tc_set T_a)) (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_c V_D T_a) (tptp.tc_set T_a)) T_a) (tptp.tc_set T_a)))) (tptp.c_lessequals (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))))) :rule forall_inst :args ((:= V_a (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a)) (:= V_B (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a)) (:= V_c (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a)) (:= T_a (tptp.tc_PropLog_Opl tptp.t_a)) (:= V_D tptp.v_F)))
% 115.17/115.50  (step t49.t2 (cl (not (forall ((V_a $$unsorted) (V_B $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_D $$unsorted)) (tptp.c_lessequals (tptp.c_minus (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_c tptp.c_emptyset T_a) (tptp.tc_set T_a)) T_a) V_D (tptp.tc_set T_a)) (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_c V_D T_a) (tptp.tc_set T_a)) T_a) (tptp.tc_set T_a)))) (tptp.c_lessequals (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) :rule or :premises (t49.t1))
% 115.17/115.50  (step t49.t3 (cl (tptp.c_lessequals (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t49.t2 t49.a0))
% 115.17/115.50  (step t49 (cl (not (forall ((V_a $$unsorted) (V_B $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_D $$unsorted)) (tptp.c_lessequals (tptp.c_minus (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_c tptp.c_emptyset T_a) (tptp.tc_set T_a)) T_a) V_D (tptp.tc_set T_a)) (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_c V_D T_a) (tptp.tc_set T_a)) T_a) (tptp.tc_set T_a)))) (tptp.c_lessequals (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) :rule subproof :discharge (t49.a0))
% 115.17/115.50  (step t50 (cl (=> (forall ((V_a $$unsorted) (V_B $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_D $$unsorted)) (tptp.c_lessequals (tptp.c_minus (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_c tptp.c_emptyset T_a) (tptp.tc_set T_a)) T_a) V_D (tptp.tc_set T_a)) (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_c V_D T_a) (tptp.tc_set T_a)) T_a) (tptp.tc_set T_a))) (tptp.c_lessequals (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_lessequals (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t48 t49))
% 115.17/115.50  (step t51 (cl (=> (forall ((V_a $$unsorted) (V_B $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_D $$unsorted)) (tptp.c_lessequals (tptp.c_minus (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_c tptp.c_emptyset T_a) (tptp.tc_set T_a)) T_a) V_D (tptp.tc_set T_a)) (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_c V_D T_a) (tptp.tc_set T_a)) T_a) (tptp.tc_set T_a))) (tptp.c_lessequals (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (not (tptp.c_lessequals (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))))) :rule implies_neg2)
% 115.17/115.50  (step t52 (cl (=> (forall ((V_a $$unsorted) (V_B $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_D $$unsorted)) (tptp.c_lessequals (tptp.c_minus (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_c tptp.c_emptyset T_a) (tptp.tc_set T_a)) T_a) V_D (tptp.tc_set T_a)) (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_c V_D T_a) (tptp.tc_set T_a)) T_a) (tptp.tc_set T_a))) (tptp.c_lessequals (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (=> (forall ((V_a $$unsorted) (V_B $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_D $$unsorted)) (tptp.c_lessequals (tptp.c_minus (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_c tptp.c_emptyset T_a) (tptp.tc_set T_a)) T_a) V_D (tptp.tc_set T_a)) (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_c V_D T_a) (tptp.tc_set T_a)) T_a) (tptp.tc_set T_a))) (tptp.c_lessequals (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))))) :rule resolution :premises (t50 t51))
% 115.17/115.50  (step t53 (cl (=> (forall ((V_a $$unsorted) (V_B $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_D $$unsorted)) (tptp.c_lessequals (tptp.c_minus (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_c tptp.c_emptyset T_a) (tptp.tc_set T_a)) T_a) V_D (tptp.tc_set T_a)) (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_c V_D T_a) (tptp.tc_set T_a)) T_a) (tptp.tc_set T_a))) (tptp.c_lessequals (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))))) :rule contraction :premises (t52))
% 115.17/115.50  (step t54 (cl (not (forall ((V_a $$unsorted) (V_B $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_D $$unsorted)) (tptp.c_lessequals (tptp.c_minus (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_c tptp.c_emptyset T_a) (tptp.tc_set T_a)) T_a) V_D (tptp.tc_set T_a)) (tptp.c_insert V_a (tptp.c_minus V_B (tptp.c_insert V_c V_D T_a) (tptp.tc_set T_a)) T_a) (tptp.tc_set T_a)))) (tptp.c_lessequals (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) :rule implies :premises (t53))
% 115.17/115.50  (step t55 (cl (tptp.c_lessequals (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t54 a1372))
% 115.17/115.50  (step t56 (cl (not (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) :rule or_pos)
% 115.17/115.50  (step t57 (cl (not (tptp.c_lessequals (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) (not (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule reordering :premises (t56))
% 115.17/115.50  (step t58 (cl (=> (forall ((V_p $$unsorted) (V_v $$unsorted) (V_t $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_PropLog_Ohyps V_p (tptp.c_insert V_v V_t T_a) T_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar V_v T_a) (tptp.c_minus (tptp.c_PropLog_Ohyps V_p V_t T_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar V_v T_a) tptp.c_PropLog_Opl_Ofalse T_a) tptp.c_emptyset (tptp.tc_PropLog_Opl T_a)) (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) (tptp.tc_PropLog_Opl T_a)) (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_lessequals (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (forall ((V_p $$unsorted) (V_v $$unsorted) (V_t $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_PropLog_Ohyps V_p (tptp.c_insert V_v V_t T_a) T_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar V_v T_a) (tptp.c_minus (tptp.c_PropLog_Ohyps V_p V_t T_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar V_v T_a) tptp.c_PropLog_Opl_Ofalse T_a) tptp.c_emptyset (tptp.tc_PropLog_Opl T_a)) (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) (tptp.tc_PropLog_Opl T_a)) (tptp.tc_set (tptp.tc_PropLog_Opl T_a))))) :rule implies_neg1)
% 115.17/115.50  (anchor :step t59)
% 115.17/115.50  (assume t59.a0 (forall ((V_p $$unsorted) (V_v $$unsorted) (V_t $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_PropLog_Ohyps V_p (tptp.c_insert V_v V_t T_a) T_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar V_v T_a) (tptp.c_minus (tptp.c_PropLog_Ohyps V_p V_t T_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar V_v T_a) tptp.c_PropLog_Opl_Ofalse T_a) tptp.c_emptyset (tptp.tc_PropLog_Opl T_a)) (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) (tptp.tc_PropLog_Opl T_a)) (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))))
% 115.17/115.50  (step t59.t1 (cl (or (not (forall ((V_p $$unsorted) (V_v $$unsorted) (V_t $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_PropLog_Ohyps V_p (tptp.c_insert V_v V_t T_a) T_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar V_v T_a) (tptp.c_minus (tptp.c_PropLog_Ohyps V_p V_t T_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar V_v T_a) tptp.c_PropLog_Opl_Ofalse T_a) tptp.c_emptyset (tptp.tc_PropLog_Opl T_a)) (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) (tptp.tc_PropLog_Opl T_a)) (tptp.tc_set (tptp.tc_PropLog_Opl T_a))))) (tptp.c_lessequals (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))))) :rule forall_inst :args ((:= V_p tptp.v_p) (:= V_v tptp.v_v) (:= V_t tptp.v_t) (:= T_a tptp.t_a)))
% 115.17/115.50  (step t59.t2 (cl (not (forall ((V_p $$unsorted) (V_v $$unsorted) (V_t $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_PropLog_Ohyps V_p (tptp.c_insert V_v V_t T_a) T_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar V_v T_a) (tptp.c_minus (tptp.c_PropLog_Ohyps V_p V_t T_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar V_v T_a) tptp.c_PropLog_Opl_Ofalse T_a) tptp.c_emptyset (tptp.tc_PropLog_Opl T_a)) (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) (tptp.tc_PropLog_Opl T_a)) (tptp.tc_set (tptp.tc_PropLog_Opl T_a))))) (tptp.c_lessequals (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) :rule or :premises (t59.t1))
% 115.17/115.50  (step t59.t3 (cl (tptp.c_lessequals (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t59.t2 t59.a0))
% 115.17/115.50  (step t59 (cl (not (forall ((V_p $$unsorted) (V_v $$unsorted) (V_t $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_PropLog_Ohyps V_p (tptp.c_insert V_v V_t T_a) T_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar V_v T_a) (tptp.c_minus (tptp.c_PropLog_Ohyps V_p V_t T_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar V_v T_a) tptp.c_PropLog_Opl_Ofalse T_a) tptp.c_emptyset (tptp.tc_PropLog_Opl T_a)) (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) (tptp.tc_PropLog_Opl T_a)) (tptp.tc_set (tptp.tc_PropLog_Opl T_a))))) (tptp.c_lessequals (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) :rule subproof :discharge (t59.a0))
% 115.17/115.50  (step t60 (cl (=> (forall ((V_p $$unsorted) (V_v $$unsorted) (V_t $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_PropLog_Ohyps V_p (tptp.c_insert V_v V_t T_a) T_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar V_v T_a) (tptp.c_minus (tptp.c_PropLog_Ohyps V_p V_t T_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar V_v T_a) tptp.c_PropLog_Opl_Ofalse T_a) tptp.c_emptyset (tptp.tc_PropLog_Opl T_a)) (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) (tptp.tc_PropLog_Opl T_a)) (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_lessequals (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_lessequals (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t58 t59))
% 115.17/115.50  (step t61 (cl (=> (forall ((V_p $$unsorted) (V_v $$unsorted) (V_t $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_PropLog_Ohyps V_p (tptp.c_insert V_v V_t T_a) T_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar V_v T_a) (tptp.c_minus (tptp.c_PropLog_Ohyps V_p V_t T_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar V_v T_a) tptp.c_PropLog_Opl_Ofalse T_a) tptp.c_emptyset (tptp.tc_PropLog_Opl T_a)) (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) (tptp.tc_PropLog_Opl T_a)) (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_lessequals (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (not (tptp.c_lessequals (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))))) :rule implies_neg2)
% 115.17/115.50  (step t62 (cl (=> (forall ((V_p $$unsorted) (V_v $$unsorted) (V_t $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_PropLog_Ohyps V_p (tptp.c_insert V_v V_t T_a) T_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar V_v T_a) (tptp.c_minus (tptp.c_PropLog_Ohyps V_p V_t T_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar V_v T_a) tptp.c_PropLog_Opl_Ofalse T_a) tptp.c_emptyset (tptp.tc_PropLog_Opl T_a)) (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) (tptp.tc_PropLog_Opl T_a)) (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_lessequals (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (=> (forall ((V_p $$unsorted) (V_v $$unsorted) (V_t $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_PropLog_Ohyps V_p (tptp.c_insert V_v V_t T_a) T_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar V_v T_a) (tptp.c_minus (tptp.c_PropLog_Ohyps V_p V_t T_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar V_v T_a) tptp.c_PropLog_Opl_Ofalse T_a) tptp.c_emptyset (tptp.tc_PropLog_Opl T_a)) (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) (tptp.tc_PropLog_Opl T_a)) (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_lessequals (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))))) :rule resolution :premises (t60 t61))
% 115.17/115.50  (step t63 (cl (=> (forall ((V_p $$unsorted) (V_v $$unsorted) (V_t $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_PropLog_Ohyps V_p (tptp.c_insert V_v V_t T_a) T_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar V_v T_a) (tptp.c_minus (tptp.c_PropLog_Ohyps V_p V_t T_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar V_v T_a) tptp.c_PropLog_Opl_Ofalse T_a) tptp.c_emptyset (tptp.tc_PropLog_Opl T_a)) (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) (tptp.tc_PropLog_Opl T_a)) (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_lessequals (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))))) :rule contraction :premises (t62))
% 115.17/115.50  (step t64 (cl (not (forall ((V_p $$unsorted) (V_v $$unsorted) (V_t $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_PropLog_Ohyps V_p (tptp.c_insert V_v V_t T_a) T_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar V_v T_a) (tptp.c_minus (tptp.c_PropLog_Ohyps V_p V_t T_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar V_v T_a) tptp.c_PropLog_Opl_Ofalse T_a) tptp.c_emptyset (tptp.tc_PropLog_Opl T_a)) (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) (tptp.tc_PropLog_Opl T_a)) (tptp.tc_set (tptp.tc_PropLog_Opl T_a))))) (tptp.c_lessequals (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) :rule implies :premises (t63))
% 115.17/115.50  (step t65 (cl (tptp.c_lessequals (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t64 a1370))
% 115.17/115.50  (step t66 (cl (=> (forall ((V_U $$unsorted)) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p V_U tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (forall ((V_U $$unsorted)) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p V_U tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule implies_neg1)
% 115.17/115.50  (anchor :step t67)
% 115.17/115.50  (assume t67.a0 (forall ((V_U $$unsorted)) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p V_U tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))
% 115.17/115.50  (step t67.t1 (cl (or (not (forall ((V_U $$unsorted)) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p V_U tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule forall_inst :args ((:= V_U (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a))))
% 115.17/115.50  (step t67.t2 (cl (not (forall ((V_U $$unsorted)) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p V_U tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) :rule or :premises (t67.t1))
% 115.17/115.50  (step t67.t3 (cl (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) :rule resolution :premises (t67.t2 t67.a0))
% 115.17/115.50  (step t67 (cl (not (forall ((V_U $$unsorted)) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p V_U tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) :rule subproof :discharge (t67.a0))
% 115.17/115.50  (step t68 (cl (=> (forall ((V_U $$unsorted)) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p V_U tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) :rule resolution :premises (t66 t67))
% 115.17/115.50  (step t69 (cl (=> (forall ((V_U $$unsorted)) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p V_U tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule implies_neg2)
% 115.17/115.50  (step t70 (cl (=> (forall ((V_U $$unsorted)) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p V_U tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (=> (forall ((V_U $$unsorted)) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p V_U tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t68 t69))
% 115.17/115.50  (step t71 (cl (=> (forall ((V_U $$unsorted)) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p V_U tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule contraction :premises (t70))
% 115.17/115.50  (step t72 (cl (not (forall ((V_U $$unsorted)) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p V_U tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) :rule implies :premises (t71))
% 115.17/115.50  (step t73 (cl (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) :rule resolution :premises (t72 a1379))
% 115.17/115.50  (step t74 (cl (=> (forall ((V_p $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_minus V_A V_B (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_A V_C (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_minus V_C V_B (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) (forall ((V_p $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_minus V_A V_B (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_A V_C (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_minus V_C V_B (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) T_a) (tptp.tc_PropLog_Opl T_a))))) :rule implies_neg1)
% 115.17/115.50  (anchor :step t75)
% 115.17/115.50  (assume t75.a0 (forall ((V_p $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_minus V_A V_B (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_A V_C (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_minus V_C V_B (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) T_a) (tptp.tc_PropLog_Opl T_a)))))
% 115.17/115.50  (step t75.t1 (cl (or (not (forall ((V_p $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_minus V_A V_B (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_A V_C (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_minus V_C V_B (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) T_a) (tptp.tc_PropLog_Opl T_a))))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule forall_inst :args ((:= V_p tptp.v_p) (:= V_A (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a)) (:= V_B tptp.v_F) (:= T_a tptp.t_a) (:= V_C (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)))))
% 115.17/115.50  (step t75.t2 (cl (not (forall ((V_p $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_minus V_A V_B (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_A V_C (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_minus V_C V_B (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) T_a) (tptp.tc_PropLog_Opl T_a))))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule or :premises (t75.t1))
% 115.17/115.50  (step t75.t3 (cl (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t75.t2 t75.a0))
% 115.17/115.50  (step t75 (cl (not (forall ((V_p $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_minus V_A V_B (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_A V_C (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_minus V_C V_B (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) T_a) (tptp.tc_PropLog_Opl T_a))))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule subproof :discharge (t75.a0))
% 115.17/115.50  (step t76 (cl (=> (forall ((V_p $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_minus V_A V_B (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_A V_C (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_minus V_C V_B (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t74 t75))
% 115.17/115.50  (step t77 (cl (=> (forall ((V_p $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_minus V_A V_B (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_A V_C (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_minus V_C V_B (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) (not (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule implies_neg2)
% 115.17/115.50  (step t78 (cl (=> (forall ((V_p $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_minus V_A V_B (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_A V_C (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_minus V_C V_B (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) (=> (forall ((V_p $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_minus V_A V_B (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_A V_C (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_minus V_C V_B (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule resolution :premises (t76 t77))
% 115.17/115.50  (step t79 (cl (=> (forall ((V_p $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_minus V_A V_B (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_A V_C (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_minus V_C V_B (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule contraction :premises (t78))
% 115.17/115.50  (step t80 (cl (not (forall ((V_p $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_minus V_A V_B (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) T_a) (tptp.tc_PropLog_Opl T_a))) (not (tptp.c_lessequals V_A V_C (tptp.tc_set (tptp.tc_PropLog_Opl T_a)))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_minus V_C V_B (tptp.tc_set (tptp.tc_PropLog_Opl T_a))) T_a) (tptp.tc_PropLog_Opl T_a))))) (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule implies :premises (t79))
% 115.17/115.50  (step t81 (cl (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_PropLog_Ohyps tptp.v_p (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a) tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t80 a1367))
% 115.17/115.50  (step t82 (cl (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) :rule resolution :premises (t57 t65 t73 t81))
% 115.17/115.50  (step t83 (cl (not (or (not (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (tptp.c_lessequals (tptp.c_minus (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.c_emptyset (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.v_F (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a)))) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) tptp.v_F (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.tc_set (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule resolution :premises (t9 t47 t55 t82))
% 115.17/115.50  (step t84 (cl) :rule resolution :premises (t7 t83 a1375))
% 115.17/115.50  
% 115.26/115.51  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.xfW1wJrx7S/cvc5---1.0.5_8128.smt2
% 115.26/115.51  % cvc5---1.0.5 exiting
% 115.26/115.52  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------