TSTP Solution File: LCL442-2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LCL442-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n023.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 17:25:25 EDT 2024
% Result : Unsatisfiable 0.21s 0.55s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : LCL442-2 : TPTP v8.2.0. Released v3.2.0.
% 0.07/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 27 20:01:09 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.21/0.52 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.55 % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.WpieSPxhBu/cvc5---1.0.5_19351.smt2
% 0.21/0.55 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.WpieSPxhBu/cvc5---1.0.5_19351.smt2
% 0.21/0.56 (assume a0 (or (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) (not (tptp.c_PropLog_Oeval tptp.v_tt tptp.v_pl1 tptp.t_a))))
% 0.21/0.56 (assume a1 (or (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.c_PropLog_Oeval tptp.v_tt tptp.v_pl1 tptp.t_a)))
% 0.21/0.56 (assume a2 (or (tptp.c_in tptp.v_pl2 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) (not (tptp.c_PropLog_Oeval tptp.v_tt tptp.v_pl2 tptp.t_a))))
% 0.21/0.56 (assume a3 (or (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.c_PropLog_Oeval tptp.v_tt tptp.v_pl2 tptp.t_a)))
% 0.21/0.56 (assume a4 (or (tptp.c_PropLog_Oeval tptp.v_tt tptp.v_pl1 tptp.t_a) (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))))
% 0.21/0.56 (assume a5 (or (not (tptp.c_PropLog_Oeval tptp.v_tt tptp.v_pl2 tptp.t_a)) (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))))
% 0.21/0.56 (assume a6 (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_PropLog_Oeval tptp.v_tt tptp.v_pl2 tptp.t_a) (not (tptp.c_PropLog_Oeval tptp.v_tt tptp.v_pl1 tptp.t_a))))
% 0.21/0.56 (assume a7 (forall ((V_p $$unsorted) (T_a $$unsorted) (V_H $$unsorted) (V_q $$unsorted)) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 V_p tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H 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)))))
% 0.21/0.56 (assume a8 (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_q tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Oop_A_N_62 V_p V_q T_a) tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a)))))
% 0.21/0.56 (assume a9 (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_G V_B (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a)))))
% 0.21/0.56 (assume a10 (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_A V_G (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a)))))
% 0.21/0.56 (assume a11 (forall ((V_q $$unsorted) (V_H $$unsorted) (T_a $$unsorted) (V_p $$unsorted)) (or (not (tptp.c_in V_q (tptp.c_PropLog_Othms V_H 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)))))
% 0.21/0.56 (step t1 (cl (not (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) :rule or_pos)
% 0.21/0.56 (step t2 (cl (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (not (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule reordering :premises (t1))
% 0.21/0.56 (step t3 (cl (not (or (not (tptp.c_in tptp.v_pl2 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) (not (tptp.c_in tptp.v_pl2 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) :rule or_pos)
% 0.21/0.56 (step t4 (cl (not (tptp.c_in tptp.v_pl2 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) (not (or (not (tptp.c_in tptp.v_pl2 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule reordering :premises (t3))
% 0.21/0.56 (step t5 (cl (tptp.c_in tptp.v_pl2 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) (not (tptp.c_PropLog_Oeval tptp.v_tt tptp.v_pl2 tptp.t_a))) :rule or :premises (a2))
% 0.21/0.56 (step t6 (cl (not (or (not (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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_pl1 (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) :rule or_pos)
% 0.21/0.56 (step t7 (cl (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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_pl1 (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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_pl1 (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule reordering :premises (t6))
% 0.21/0.56 (step t8 (cl (=> (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_q tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Oop_A_N_62 V_p V_q T_a) tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) (forall ((V_p $$unsorted) (V_H $$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_q tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Oop_A_N_62 V_p V_q T_a) tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a))))) :rule implies_neg1)
% 0.21/0.56 (anchor :step t9)
% 0.21/0.56 (assume t9.a0 (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_q tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Oop_A_N_62 V_p V_q T_a) tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a)))))
% 0.21/0.56 (step t9.t1 (cl (or (not (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_q tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Oop_A_N_62 V_p V_q T_a) tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a))))) (or (not (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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_pl1) (:= V_H (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (:= T_a tptp.t_a) (:= V_q tptp.v_pl2)))
% 0.21/0.56 (step t9.t2 (cl (not (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_q tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Oop_A_N_62 V_p V_q T_a) tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a))))) (or (not (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule or :premises (t9.t1))
% 0.21/0.56 (step t9.t3 (cl (or (not (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t9.t2 t9.a0))
% 0.21/0.56 (step t9 (cl (not (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_q tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Oop_A_N_62 V_p V_q T_a) tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a))))) (or (not (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule subproof :discharge (t9.a0))
% 0.21/0.56 (step t10 (cl (=> (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_q tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Oop_A_N_62 V_p V_q T_a) tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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_pl1 (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t8 t9))
% 0.21/0.56 (step t11 (cl (=> (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_q tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Oop_A_N_62 V_p V_q T_a) tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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_pl1 (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule implies_neg2)
% 0.21/0.56 (step t12 (cl (=> (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_q tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Oop_A_N_62 V_p V_q T_a) tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) (=> (forall ((V_p $$unsorted) (V_H $$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_q tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Oop_A_N_62 V_p V_q T_a) tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule resolution :premises (t10 t11))
% 0.21/0.56 (step t13 (cl (=> (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_q tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Oop_A_N_62 V_p V_q T_a) tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule contraction :premises (t12))
% 0.21/0.56 (step t14 (cl (not (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_q tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Oop_A_N_62 V_p V_q T_a) tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H T_a) (tptp.tc_PropLog_Opl T_a))))) (or (not (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule implies :premises (t13))
% 0.21/0.56 (step t15 (cl (or (not (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t14 a8))
% 0.21/0.56 (step t16 (cl (not (or (not (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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_pl1 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) :rule or_pos)
% 0.21/0.56 (step t17 (cl (not (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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_pl1 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule reordering :premises (t16))
% 0.21/0.56 (step t18 (cl (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) (not (tptp.c_PropLog_Oeval tptp.v_tt tptp.v_pl1 tptp.t_a))) :rule or :premises (a0))
% 0.21/0.56 (step t19 (cl (not (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) :rule or_pos)
% 0.21/0.56 (step t20 (cl (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule reordering :premises (t19))
% 0.21/0.56 (step t21 (cl (=> (forall ((V_p $$unsorted) (T_a $$unsorted) (V_H $$unsorted) (V_q $$unsorted)) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 V_p tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H 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)))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) (forall ((V_p $$unsorted) (T_a $$unsorted) (V_H $$unsorted) (V_q $$unsorted)) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 V_p tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H 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))))) :rule implies_neg1)
% 0.21/0.56 (anchor :step t22)
% 0.21/0.56 (assume t22.a0 (forall ((V_p $$unsorted) (T_a $$unsorted) (V_H $$unsorted) (V_q $$unsorted)) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 V_p tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H 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)))))
% 0.21/0.56 (step t22.t1 (cl (or (not (forall ((V_p $$unsorted) (T_a $$unsorted) (V_H $$unsorted) (V_q $$unsorted)) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 V_p tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H 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))))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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_pl1) (:= T_a tptp.t_a) (:= V_H (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (:= V_q tptp.v_pl2)))
% 0.21/0.56 (step t22.t2 (cl (not (forall ((V_p $$unsorted) (T_a $$unsorted) (V_H $$unsorted) (V_q $$unsorted)) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 V_p tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H 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))))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule or :premises (t22.t1))
% 0.21/0.56 (step t22.t3 (cl (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t22.t2 t22.a0))
% 0.21/0.56 (step t22 (cl (not (forall ((V_p $$unsorted) (T_a $$unsorted) (V_H $$unsorted) (V_q $$unsorted)) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 V_p tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H 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))))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule subproof :discharge (t22.a0))
% 0.21/0.56 (step t23 (cl (=> (forall ((V_p $$unsorted) (T_a $$unsorted) (V_H $$unsorted) (V_q $$unsorted)) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 V_p tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H 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)))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t21 t22))
% 0.21/0.56 (step t24 (cl (=> (forall ((V_p $$unsorted) (T_a $$unsorted) (V_H $$unsorted) (V_q $$unsorted)) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 V_p tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H 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)))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule implies_neg2)
% 0.21/0.56 (step t25 (cl (=> (forall ((V_p $$unsorted) (T_a $$unsorted) (V_H $$unsorted) (V_q $$unsorted)) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 V_p tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H 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)))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) (=> (forall ((V_p $$unsorted) (T_a $$unsorted) (V_H $$unsorted) (V_q $$unsorted)) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 V_p tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H 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)))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule resolution :premises (t23 t24))
% 0.21/0.56 (step t26 (cl (=> (forall ((V_p $$unsorted) (T_a $$unsorted) (V_H $$unsorted) (V_q $$unsorted)) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 V_p tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H 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)))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule contraction :premises (t25))
% 0.21/0.56 (step t27 (cl (not (forall ((V_p $$unsorted) (T_a $$unsorted) (V_H $$unsorted) (V_q $$unsorted)) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 V_p tptp.c_PropLog_Opl_Ofalse T_a) (tptp.c_PropLog_Othms V_H 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))))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule implies :premises (t26))
% 0.21/0.56 (step t28 (cl (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t27 a7))
% 0.21/0.56 (step t29 (cl (not (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) :rule or_pos)
% 0.21/0.56 (step t30 (cl (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule reordering :premises (t29))
% 0.21/0.56 (step t31 (cl (=> (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_G V_B (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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 $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_G V_B (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))))) :rule implies_neg1)
% 0.21/0.56 (anchor :step t32)
% 0.21/0.56 (assume t32.a0 (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_G V_B (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a)))))
% 0.21/0.56 (step t32.t1 (cl (or (not (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_G V_B (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a)) (:= V_G (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a)) (:= T_a tptp.t_a) (:= V_B (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a))))
% 0.21/0.56 (step t32.t2 (cl (not (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_G V_B (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule or :premises (t32.t1))
% 0.21/0.56 (step t32.t3 (cl (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t32.t2 t32.a0))
% 0.21/0.56 (step t32 (cl (not (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_G V_B (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule subproof :discharge (t32.a0))
% 0.21/0.56 (step t33 (cl (=> (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_G V_B (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t31 t32))
% 0.21/0.56 (step t34 (cl (=> (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_G V_B (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule implies_neg2)
% 0.21/0.56 (step t35 (cl (=> (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_G V_B (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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 $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_G V_B (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule resolution :premises (t33 t34))
% 0.21/0.56 (step t36 (cl (=> (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_G V_B (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule contraction :premises (t35))
% 0.21/0.56 (step t37 (cl (not (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_G V_B (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule implies :premises (t36))
% 0.21/0.56 (step t38 (cl (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t37 a9))
% 0.21/0.56 (step t39 (cl (tptp.c_PropLog_Oeval tptp.v_tt tptp.v_pl1 tptp.t_a) (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule or :premises (a4))
% 0.21/0.56 (step t40 (cl (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.c_PropLog_Oeval tptp.v_tt tptp.v_pl1 tptp.t_a)) :rule or :premises (a1))
% 0.21/0.56 (step t41 (cl (tptp.c_PropLog_Oeval tptp.v_tt tptp.v_pl1 tptp.t_a) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) :rule reordering :premises (t40))
% 0.21/0.56 (step t42 (cl (tptp.c_PropLog_Oeval tptp.v_tt tptp.v_pl1 tptp.t_a) (tptp.c_PropLog_Oeval tptp.v_tt tptp.v_pl1 tptp.t_a)) :rule resolution :premises (t20 t28 t30 t38 t39 t41))
% 0.21/0.56 (step t43 (cl (tptp.c_PropLog_Oeval tptp.v_tt tptp.v_pl1 tptp.t_a)) :rule contraction :premises (t42))
% 0.21/0.56 (step t44 (cl (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) :rule resolution :premises (t18 t43))
% 0.21/0.56 (step t45 (cl (=> (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_G V_B (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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 $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_G V_B (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))))) :rule implies_neg1)
% 0.21/0.56 (anchor :step t46)
% 0.21/0.56 (assume t46.a0 (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_G V_B (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a)))))
% 0.21/0.56 (step t46.t1 (cl (or (not (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_G V_B (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))))) (or (not (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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_pl1) (:= V_G (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a)) (:= T_a tptp.t_a) (:= V_B (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a))))
% 0.21/0.56 (step t46.t2 (cl (not (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_G V_B (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))))) (or (not (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule or :premises (t46.t1))
% 0.21/0.56 (step t46.t3 (cl (or (not (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t46.t2 t46.a0))
% 0.21/0.56 (step t46 (cl (not (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_G V_B (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))))) (or (not (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule subproof :discharge (t46.a0))
% 0.21/0.56 (step t47 (cl (=> (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_G V_B (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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_pl1 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t45 t46))
% 0.21/0.56 (step t48 (cl (=> (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_G V_B (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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_pl1 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule implies_neg2)
% 0.21/0.56 (step t49 (cl (=> (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_G V_B (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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 $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_G V_B (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule resolution :premises (t47 t48))
% 0.21/0.56 (step t50 (cl (=> (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_G V_B (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule contraction :premises (t49))
% 0.21/0.56 (step t51 (cl (not (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_G V_B (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))))) (or (not (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule implies :premises (t50))
% 0.21/0.56 (step t52 (cl (or (not (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t51 a9))
% 0.21/0.56 (step t53 (cl (tptp.c_in tptp.v_pl1 (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) :rule resolution :premises (t17 t44 t52))
% 0.21/0.56 (step t54 (cl (not (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) :rule or_pos)
% 0.21/0.56 (step t55 (cl (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule reordering :premises (t54))
% 0.21/0.56 (step t56 (cl (=> (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_A V_G (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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 $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_A V_G (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))))) :rule implies_neg1)
% 0.21/0.56 (anchor :step t57)
% 0.21/0.56 (assume t57.a0 (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_A V_G (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a)))))
% 0.21/0.56 (step t57.t1 (cl (or (not (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_A V_G (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a)) (:= V_G (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a)) (:= T_a tptp.t_a) (:= V_A (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a))))
% 0.21/0.56 (step t57.t2 (cl (not (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_A V_G (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule or :premises (t57.t1))
% 0.21/0.56 (step t57.t3 (cl (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t57.t2 t57.a0))
% 0.21/0.56 (step t57 (cl (not (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_A V_G (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule subproof :discharge (t57.a0))
% 0.21/0.56 (step t58 (cl (=> (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_A V_G (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t56 t57))
% 0.21/0.56 (step t59 (cl (=> (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_A V_G (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule implies_neg2)
% 0.21/0.56 (step t60 (cl (=> (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_A V_G (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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 $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_A V_G (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule resolution :premises (t58 t59))
% 0.21/0.56 (step t61 (cl (=> (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_A V_G (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule contraction :premises (t60))
% 0.21/0.56 (step t62 (cl (not (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_A V_G (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule implies :premises (t61))
% 0.21/0.56 (step t63 (cl (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t62 a10))
% 0.21/0.56 (step t64 (cl (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_PropLog_Oeval tptp.v_tt tptp.v_pl2 tptp.t_a) (not (tptp.c_PropLog_Oeval tptp.v_tt tptp.v_pl1 tptp.t_a))) :rule or :premises (a6))
% 0.21/0.56 (step t65 (cl (not (tptp.c_PropLog_Oeval tptp.v_tt tptp.v_pl1 tptp.t_a)) (tptp.c_PropLog_Oeval tptp.v_tt tptp.v_pl2 tptp.t_a) (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule reordering :premises (t64))
% 0.21/0.56 (step t66 (cl (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) (tptp.c_PropLog_Oeval tptp.v_tt tptp.v_pl2 tptp.t_a)) :rule or :premises (a3))
% 0.21/0.56 (step t67 (cl (tptp.c_PropLog_Oeval tptp.v_tt tptp.v_pl2 tptp.t_a) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl2 tptp.c_PropLog_Opl_Ofalse tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) :rule reordering :premises (t66))
% 0.21/0.56 (step t68 (cl (tptp.c_PropLog_Oeval tptp.v_tt tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Oeval tptp.v_tt tptp.v_pl2 tptp.t_a)) :rule resolution :premises (t7 t15 t53 t55 t63 t65 t43 t67))
% 0.21/0.56 (step t69 (cl (tptp.c_PropLog_Oeval tptp.v_tt tptp.v_pl2 tptp.t_a)) :rule contraction :premises (t68))
% 0.21/0.56 (step t70 (cl (tptp.c_in tptp.v_pl2 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) :rule resolution :premises (t5 t69))
% 0.21/0.56 (step t71 (cl (=> (forall ((V_q $$unsorted) (V_H $$unsorted) (T_a $$unsorted) (V_p $$unsorted)) (or (not (tptp.c_in V_q (tptp.c_PropLog_Othms V_H 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)))) (or (not (tptp.c_in tptp.v_pl2 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) (forall ((V_q $$unsorted) (V_H $$unsorted) (T_a $$unsorted) (V_p $$unsorted)) (or (not (tptp.c_in V_q (tptp.c_PropLog_Othms V_H 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))))) :rule implies_neg1)
% 0.21/0.56 (anchor :step t72)
% 0.21/0.56 (assume t72.a0 (forall ((V_q $$unsorted) (V_H $$unsorted) (T_a $$unsorted) (V_p $$unsorted)) (or (not (tptp.c_in V_q (tptp.c_PropLog_Othms V_H 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)))))
% 0.21/0.56 (step t72.t1 (cl (or (not (forall ((V_q $$unsorted) (V_H $$unsorted) (T_a $$unsorted) (V_p $$unsorted)) (or (not (tptp.c_in V_q (tptp.c_PropLog_Othms V_H 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))))) (or (not (tptp.c_in tptp.v_pl2 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule forall_inst :args ((:= V_q tptp.v_pl2) (:= V_H (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a)) (:= T_a tptp.t_a) (:= V_p tptp.v_pl1)))
% 0.21/0.56 (step t72.t2 (cl (not (forall ((V_q $$unsorted) (V_H $$unsorted) (T_a $$unsorted) (V_p $$unsorted)) (or (not (tptp.c_in V_q (tptp.c_PropLog_Othms V_H 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))))) (or (not (tptp.c_in tptp.v_pl2 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule or :premises (t72.t1))
% 0.21/0.56 (step t72.t3 (cl (or (not (tptp.c_in tptp.v_pl2 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t72.t2 t72.a0))
% 0.21/0.56 (step t72 (cl (not (forall ((V_q $$unsorted) (V_H $$unsorted) (T_a $$unsorted) (V_p $$unsorted)) (or (not (tptp.c_in V_q (tptp.c_PropLog_Othms V_H 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))))) (or (not (tptp.c_in tptp.v_pl2 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule subproof :discharge (t72.a0))
% 0.21/0.56 (step t73 (cl (=> (forall ((V_q $$unsorted) (V_H $$unsorted) (T_a $$unsorted) (V_p $$unsorted)) (or (not (tptp.c_in V_q (tptp.c_PropLog_Othms V_H 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)))) (or (not (tptp.c_in tptp.v_pl2 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) (or (not (tptp.c_in tptp.v_pl2 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t71 t72))
% 0.21/0.56 (step t74 (cl (=> (forall ((V_q $$unsorted) (V_H $$unsorted) (T_a $$unsorted) (V_p $$unsorted)) (or (not (tptp.c_in V_q (tptp.c_PropLog_Othms V_H 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)))) (or (not (tptp.c_in tptp.v_pl2 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) (not (or (not (tptp.c_in tptp.v_pl2 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule implies_neg2)
% 0.21/0.56 (step t75 (cl (=> (forall ((V_q $$unsorted) (V_H $$unsorted) (T_a $$unsorted) (V_p $$unsorted)) (or (not (tptp.c_in V_q (tptp.c_PropLog_Othms V_H 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)))) (or (not (tptp.c_in tptp.v_pl2 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) (=> (forall ((V_q $$unsorted) (V_H $$unsorted) (T_a $$unsorted) (V_p $$unsorted)) (or (not (tptp.c_in V_q (tptp.c_PropLog_Othms V_H 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)))) (or (not (tptp.c_in tptp.v_pl2 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule resolution :premises (t73 t74))
% 0.21/0.56 (step t76 (cl (=> (forall ((V_q $$unsorted) (V_H $$unsorted) (T_a $$unsorted) (V_p $$unsorted)) (or (not (tptp.c_in V_q (tptp.c_PropLog_Othms V_H 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)))) (or (not (tptp.c_in tptp.v_pl2 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule contraction :premises (t75))
% 0.21/0.56 (step t77 (cl (not (forall ((V_q $$unsorted) (V_H $$unsorted) (T_a $$unsorted) (V_p $$unsorted)) (or (not (tptp.c_in V_q (tptp.c_PropLog_Othms V_H 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))))) (or (not (tptp.c_in tptp.v_pl2 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule implies :premises (t76))
% 0.21/0.56 (step t78 (cl (or (not (tptp.c_in tptp.v_pl2 (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t77 a11))
% 0.21/0.56 (step t79 (cl (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) :rule resolution :premises (t4 t70 t78))
% 0.21/0.56 (step t80 (cl (not (tptp.c_PropLog_Oeval tptp.v_tt tptp.v_pl2 tptp.t_a)) (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule or :premises (a5))
% 0.21/0.56 (step t81 (cl (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t80 t69))
% 0.21/0.56 (step t82 (cl (=> (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_A V_G (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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 $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_A V_G (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))))) :rule implies_neg1)
% 0.21/0.56 (anchor :step t83)
% 0.21/0.56 (assume t83.a0 (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_A V_G (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a)))))
% 0.21/0.56 (step t83.t1 (cl (or (not (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_A V_G (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a)) (:= V_G (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a)) (:= T_a tptp.t_a) (:= V_A (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a))))
% 0.21/0.56 (step t83.t2 (cl (not (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_A V_G (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule or :premises (t83.t1))
% 0.21/0.56 (step t83.t3 (cl (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t83.t2 t83.a0))
% 0.21/0.56 (step t83 (cl (not (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_A V_G (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule subproof :discharge (t83.a0))
% 0.21/0.56 (step t84 (cl (=> (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_A V_G (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t82 t83))
% 0.21/0.56 (step t85 (cl (=> (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_A V_G (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule implies_neg2)
% 0.21/0.56 (step t86 (cl (=> (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_A V_G (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt 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 $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_A V_G (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule resolution :premises (t84 t85))
% 0.21/0.56 (step t87 (cl (=> (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_A V_G (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a)))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))))) :rule contraction :premises (t86))
% 0.21/0.56 (step t88 (cl (not (forall ((V_p $$unsorted) (V_G $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_p (tptp.c_PropLog_Othms V_G T_a) (tptp.tc_PropLog_Opl T_a))) (tptp.c_in V_p (tptp.c_PropLog_Othms (tptp.c_union V_A V_G (tptp.tc_PropLog_Opl T_a)) T_a) (tptp.tc_PropLog_Opl T_a))))) (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule implies :premises (t87))
% 0.21/0.56 (step t89 (cl (or (not (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a))) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_pl1 tptp.v_pl2 tptp.t_a) (tptp.c_PropLog_Othms (tptp.c_union (tptp.c_PropLog_Ohyps tptp.v_pl1 tptp.v_tt tptp.t_a) (tptp.c_PropLog_Ohyps tptp.v_pl2 tptp.v_tt tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)) tptp.t_a) (tptp.tc_PropLog_Opl tptp.t_a)))) :rule resolution :premises (t88 a10))
% 0.21/0.56 (step t90 (cl) :rule resolution :premises (t2 t79 t81 t89))
% 0.21/0.56
% 0.21/0.56 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.WpieSPxhBu/cvc5---1.0.5_19351.smt2
% 0.21/0.57 % cvc5---1.0.5 exiting
% 0.21/0.57 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------