TSTP Solution File: COL106-2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : COL106-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n021.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 Aug 30 18:23:30 EDT 2023
% Result : Unsatisfiable 0.20s 0.61s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COL106-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 04:10:12 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.TIUkWjjm8P/cvc5---1.0.5_21269.p...
% 0.20/0.50 ------- get file name : TPTP file name is COL106-2
% 0.20/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_21269.smt2...
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.61 % SZS status Unsatisfiable for COL106-2
% 0.20/0.61 % SZS output start Proof for COL106-2
% 0.20/0.61 (
% 0.20/0.61 (let ((_let_1 (forall ((V_x $$unsorted) (V_y $$unsorted)) (tptp.c_in (tptp.c_Pair (tptp.c_Comb_Ocomb_Oop_A_D_D (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.c_Comb_Ocomb_OK V_x) V_y) V_x tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract (tptp.tc_prod tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb))))) (let ((_let_2 (forall ((V_x $$unsorted)) (tptp.c_in (tptp.c_Pair V_x V_x tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract (tptp.tc_prod tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb))))) (let ((_let_3 (forall ((V_x $$unsorted) (V_z $$unsorted)) (let ((_let_1 (tptp.tc_prod tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb))) (or (not (tptp.c_in (tptp.c_Pair (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.c_Comb_Ocomb_OK V_x) V_z tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract _let_1)) (tptp.c_in (tptp.c_Pair V_x (tptp.v_sko__uTE V_x V_z) tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract _let_1)))))) (let ((_let_4 (forall ((V_x $$unsorted) (V_z $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.c_Comb_Ocomb_OK V_x) V_z tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract (tptp.tc_prod tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb))) (= V_z (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.c_Comb_Ocomb_OK (tptp.v_sko__uTE V_x V_z))))))) (let ((_let_5 (forall ((V_comb1 $$unsorted) (V_comb2 $$unsorted) (V_comb1_H $$unsorted) (V_comb2_H $$unsorted)) (or (not (= (tptp.c_Comb_Ocomb_Oop_A_D_D V_comb1 V_comb2) (tptp.c_Comb_Ocomb_Oop_A_D_D V_comb1_H V_comb2_H))) (= V_comb2 V_comb2_H))))) (let ((_let_6 (forall ((V_comb1 $$unsorted) (V_comb2 $$unsorted) (V_comb1_H $$unsorted) (V_comb2_H $$unsorted)) (or (not (= (tptp.c_Comb_Ocomb_Oop_A_D_D V_comb1 V_comb2) (tptp.c_Comb_Ocomb_Oop_A_D_D V_comb1_H V_comb2_H))) (= V_comb1 V_comb1_H))))) (let ((_let_7 (forall ((V_comb1_H $$unsorted) (V_comb2_H $$unsorted)) (not (= tptp.c_Comb_Ocomb_OK (tptp.c_Comb_Ocomb_Oop_A_D_D V_comb1_H V_comb2_H)))))) (let ((_let_8 (forall ((V_p $$unsorted) (V_q $$unsorted) (V_r $$unsorted)) (let ((_let_1 (tptp.c_Comb_Ocomb_Oop_A_D_D V_p V_q))) (let ((_let_2 (tptp.tc_prod tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb))) (or (not (tptp.c_in (tptp.c_Pair _let_1 V_r tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract _let_2)) (tptp.c_in (tptp.c_Pair V_p (tptp.v_sko__uTI V_p V_q V_r) tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract _let_2) (= V_r _let_1) (= V_p (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.c_Comb_Ocomb_OK V_r)) (= V_p (tptp.c_Comb_Ocomb_Oop_A_D_D (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.c_Comb_Ocomb_OS (tptp.v_sko__uTF V_p V_q V_r)) (tptp.v_sko__uTG V_p V_q V_r))))))))) (let ((_let_9 (forall ((V_p $$unsorted) (V_q $$unsorted) (V_r $$unsorted)) (let ((_let_1 (tptp.c_Comb_Ocomb_Oop_A_D_D V_p V_q))) (or (not (tptp.c_in (tptp.c_Pair _let_1 V_r tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract (tptp.tc_prod tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb))) (= V_r _let_1) (= V_p (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.c_Comb_Ocomb_OK V_r)) (= V_p (tptp.c_Comb_Ocomb_Oop_A_D_D (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.c_Comb_Ocomb_OS (tptp.v_sko__uTF V_p V_q V_r)) (tptp.v_sko__uTG V_p V_q V_r))) (= V_r (tptp.c_Comb_Ocomb_Oop_A_D_D (tptp.v_sko__uTI V_p V_q V_r) (tptp.v_sko__uTH V_p V_q V_r)))))))) (let ((_let_10 (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.tc_prod tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb))) (or (not (tptp.c_in (tptp.c_Pair tptp.v_xb V_U tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract _let_1)) (not (tptp.c_in (tptp.c_Pair tptp.v_x V_U tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract _let_1))))))) (let ((_let_11 (tptp.tc_prod tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb))) (let ((_let_12 (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.c_Comb_Ocomb_OK tptp.v_x))) (let ((_let_13 (tptp.c_Comb_Ocomb_Oop_A_D_D _let_12 tptp.v_ya))) (let ((_let_14 (tptp.c_in (tptp.c_Pair _let_13 tptp.v_xb tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract _let_11))) (let ((_let_15 (tptp.v_sko__uTI _let_12 tptp.v_ya tptp.v_xb))) (let ((_let_16 (tptp.v_sko__uTE tptp.v_x _let_15))) (let ((_let_17 (tptp.c_in (tptp.c_Pair tptp.v_x _let_16 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract _let_11))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.c_in (tptp.c_Pair tptp.v_xb _let_16 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract _let_11))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_18))) (let ((_let_22 (_let_10))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 ((tptp.c_Pair tptp.v_x V_U tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb)))) (let ((_let_25 (= tptp.v_xb _let_13))) (let ((_let_26 (tptp.v_sko__uTE tptp.v_x _let_12))) (let ((_let_27 (= tptp.v_x _let_26))) (let ((_let_28 (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.c_Comb_Ocomb_OK _let_26))) (let ((_let_29 (tptp.c_in (tptp.c_Pair (tptp.c_Comb_Ocomb_Oop_A_D_D _let_28 tptp.v_ya) _let_26 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract _let_11))) (let ((_let_30 (tptp.c_in (tptp.c_Pair tptp.v_xb _let_26 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract _let_11))) (let ((_let_31 (= _let_12 _let_28))) (let ((_let_32 (not _let_25))) (let ((_let_33 (not _let_31))) (let ((_let_34 (or _let_33 _let_27))) (let ((_let_35 (_let_5))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 ((tptp.c_Comb_Ocomb_Oop_A_D_D V_comb1 V_comb2) (tptp.c_Comb_Ocomb_Oop_A_D_D V_comb1_H V_comb2_H)))) (let ((_let_38 (tptp.c_in (tptp.c_Pair _let_12 _let_12 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract _let_11))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 _let_31))) (let ((_let_41 (_let_4))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 ((tptp.c_Pair (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.c_Comb_Ocomb_OK V_x) V_z tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb)))) (let ((_let_44 (_let_2))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 ((tptp.c_Pair V_x V_x tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb)))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_44)) _let_45 :args (_let_38 false _let_2)))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_39 _let_31 (not _let_40)))) _let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.v_x _let_12 QUANTIFIERS_INST_E_MATCHING _let_43)) :args _let_41)) _let_42 :args (_let_40 false _let_4)) :args (_let_31 false _let_38 false _let_40)))) (let ((_let_49 (_let_1))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 ((tptp.c_Comb_Ocomb_Oop_A_D_D (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.c_Comb_Ocomb_OK V_x) V_y)))) (let ((_let_52 (tptp.c_in (tptp.c_Pair tptp.v_x _let_26 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract _let_11))) (let ((_let_53 (not _let_52))) (let ((_let_54 (not _let_30))) (let ((_let_55 (or _let_54 _let_53))) (let ((_let_56 (or _let_39 _let_52))) (let ((_let_57 (_let_3))) (let ((_let_58 (ASSUME :args _let_57))) (let ((_let_59 ((tptp.c_Pair (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.c_Comb_Ocomb_OK V_x) V_z tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb)))) (let ((_let_60 (or))) (let ((_let_61 (ASSUME :args (_let_54)))) (let ((_let_62 (APPLY_UF tptp.c_in))) (let ((_let_63 (REFL :args (_let_11)))) (let ((_let_64 (REFL :args (tptp.c_Comb_Oparcontract)))) (let ((_let_65 (APPLY_UF tptp.c_Pair))) (let ((_let_66 (REFL :args (tptp.tc_Comb_Ocomb)))) (let ((_let_67 (ASSUME :args (_let_27)))) (let ((_let_68 (SYMM _let_67))) (let ((_let_69 (REFL :args (tptp.v_x)))) (let ((_let_70 (ASSUME :args (_let_25)))) (let ((_let_71 (APPLY_UF tptp.c_Comb_Ocomb_Oop_A_D_D))) (let ((_let_72 (ASSUME :args (_let_31)))) (let ((_let_73 (ASSUME :args (_let_29)))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_61 _let_67 _let_70 _let_72 _let_73) :args (_let_25 _let_31 _let_54 _let_29 _let_27)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_73)) (CONG (TRANS (CONG (CONG (SYMM _let_72) (REFL :args (tptp.v_ya)) :args _let_71) _let_68 _let_66 _let_66 :args _let_65) (CONG (SYMM _let_70) _let_69 _let_66 _let_66 :args _let_65) (CONG (REFL :args (tptp.v_xb)) (SYMM _let_68) _let_66 _let_66 :args _let_65)) _let_64 _let_63 :args _let_62) (FALSE_INTRO _let_61))) :args (_let_54 _let_27 _let_25 _let_31 _let_29)) :args ((not (and _let_25 _let_31 _let_54 _let_29 _let_27)) SB_LITERAL))) (CONG (REFL :args (_let_32)) (REFL :args (_let_33)) (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_30))) (REFL :args ((not _let_29))) (REFL :args ((not _let_27))) :args _let_60)) _let_48 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_53 _let_54 (not _let_55)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_39 _let_52 (not _let_56)))) _let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.v_x _let_12 QUANTIFIERS_INST_E_MATCHING _let_59)) :args _let_57)) _let_58 :args (_let_56 false _let_3)) :args (_let_52 false _let_38 false _let_56)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_24)) :args _let_22)) _let_23 :args (_let_55 false _let_10)) :args (_let_54 false _let_52 false _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_26 tptp.v_ya QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_49)) _let_50 :args (_let_29 false _let_1)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_33 _let_27 (not _let_34)))) _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.c_Comb_Ocomb_OK tptp.v_x tptp.c_Comb_Ocomb_OK _let_26 QUANTIFIERS_INST_E_MATCHING _let_37)) :args _let_35)) _let_36 :args (_let_34 false _let_5)) :args (_let_27 false _let_31 false _let_34)) :args (_let_32 false _let_31 true _let_30 false _let_29 false _let_27)))) (let ((_let_75 (tptp.v_sko__uTH _let_12 tptp.v_ya tptp.v_xb))) (let ((_let_76 (= tptp.v_xb (tptp.c_Comb_Ocomb_Oop_A_D_D _let_15 _let_75)))) (let ((_let_77 (tptp.v_sko__uTG _let_12 tptp.v_ya tptp.v_xb))) (let ((_let_78 (tptp.v_sko__uTF _let_12 tptp.v_ya tptp.v_xb))) (let ((_let_79 (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.c_Comb_Ocomb_OS _let_78))) (let ((_let_80 (= _let_12 (tptp.c_Comb_Ocomb_Oop_A_D_D _let_79 _let_77)))) (let ((_let_81 (= _let_12 (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.c_Comb_Ocomb_OK tptp.v_xb)))) (let ((_let_82 (not _let_14))) (let ((_let_83 (or _let_82 _let_25 _let_81 _let_80 _let_76))) (let ((_let_84 (tptp.c_in (tptp.c_Pair _let_12 _let_15 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract _let_11))) (let ((_let_85 (or _let_82 _let_84 _let_25 _let_81 _let_80))) (let ((_let_86 (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.c_Comb_Ocomb_OK _let_16))) (let ((_let_87 (= _let_15 _let_86))) (let ((_let_88 (not _let_84))) (let ((_let_89 (or _let_88 _let_87))) (let ((_let_90 (tptp.c_in (tptp.c_Pair (tptp.c_Comb_Ocomb_Oop_A_D_D _let_86 _let_75) _let_16 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract _let_11))) (let ((_let_91 (ASSUME :args (_let_14)))) (let ((_let_92 (_let_9))) (let ((_let_93 (ASSUME :args _let_92))) (let ((_let_94 (= tptp.c_Comb_Ocomb_OK _let_79))) (let ((_let_95 (not _let_80))) (let ((_let_96 (or _let_95 _let_94))) (let ((_let_97 (_let_6))) (let ((_let_98 (ASSUME :args _let_97))) (let ((_let_99 (_let_7))) (let ((_let_100 (ASSUME :args _let_99))) (let ((_let_101 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_95 _let_94 (not _let_96)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (tptp.c_Comb_Ocomb_OS _let_78 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_Comb_Ocomb_Oop_A_D_D V_comb1_H V_comb2_H)))) :args _let_99)) _let_100 :args ((not _let_94) false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (tptp.c_Comb_Ocomb_OK tptp.v_x _let_79 _let_77 QUANTIFIERS_INST_E_MATCHING ((tptp.c_Comb_Ocomb_Oop_A_D_D V_comb1 V_comb2) (tptp.c_Comb_Ocomb_Oop_A_D_D V_comb1_H V_comb2_H)))) :args _let_97)) _let_98 :args (_let_96 false _let_6)) :args (_let_95 true _let_94 false _let_96)))) (let ((_let_102 (= tptp.v_x tptp.v_xb))) (let ((_let_103 (not _let_81))) (let ((_let_104 (or _let_103 _let_102))) (let ((_let_105 (tptp.c_in (tptp.c_Pair tptp.v_x tptp.v_x tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract _let_11))) (let ((_let_106 (tptp.c_in (tptp.c_Pair tptp.v_xb tptp.v_x tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract _let_11))) (let ((_let_107 (not _let_102))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.v_x QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_44)) _let_45 :args (_let_105 false _let_2)))) (let ((_let_109 (not _let_105))) (let ((_let_110 (not _let_106))) (let ((_let_111 (or _let_110 _let_109))) (let ((_let_112 (ASSUME :args (_let_110)))) (let ((_let_113 (ASSUME :args (_let_102)))) (let ((_let_114 (ASSUME :args (_let_105)))) (let ((_let_115 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_103 _let_102 (not _let_104)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_112 _let_113 _let_114) :args (_let_102 _let_105 _let_110)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_114)) (CONG (CONG (SYMM (SYMM _let_113)) _let_69 _let_66 _let_66 :args _let_65) _let_64 _let_63 :args _let_62) (FALSE_INTRO _let_112))) :args (_let_110 _let_102 _let_105)) :args ((not (and _let_102 _let_105 _let_110)) SB_LITERAL))) (CONG (REFL :args (_let_107)) (REFL :args (_let_109)) (MACRO_SR_PRED_INTRO :args ((= (not _let_110) _let_106))) :args _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_111)) :args ((or _let_109 _let_110 (not _let_111)))) _let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.v_x QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_Pair tptp.v_xb V_U tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb)))) :args _let_22)) _let_23 :args (_let_111 false _let_10)) :args (_let_110 false _let_105 false _let_111)) _let_108 :args (_let_107 true _let_106 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.c_Comb_Ocomb_OK tptp.v_x tptp.c_Comb_Ocomb_OK tptp.v_xb QUANTIFIERS_INST_E_MATCHING _let_37)) :args _let_35)) _let_36 :args (_let_104 false _let_5)) :args (_let_103 true _let_102 false _let_104)))) (let ((_let_116 (_let_8))) (let ((_let_117 (ASSUME :args _let_116))) (let ((_let_118 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_12 tptp.v_ya tptp.v_xb QUANTIFIERS_INST_E_MATCHING ((tptp.c_Pair (tptp.c_Comb_Ocomb_Oop_A_D_D V_p V_q) V_r tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb)))) :args _let_116)) _let_117 :args (_let_85 false _let_8)))) (let ((_let_119 (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_82 _let_25 _let_81 _let_80 _let_84 (not _let_85)))))) (let ((_let_120 (ASSUME :args (_let_90)))) (let ((_let_121 (ASSUME :args (_let_87)))) (let ((_let_122 (ASSUME :args (_let_76)))) (let ((_let_123 (ASSUME :args (_let_20)))) (let ((_let_124 (or _let_88 _let_17))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_18 _let_20 (not _let_21)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_124)) :args ((or _let_88 _let_17 (not _let_124)))) (MACRO_RESOLUTION_TRUST _let_119 _let_91 _let_74 _let_115 _let_101 _let_118 :args (_let_84 false _let_14 true _let_25 true _let_81 true _let_80 false _let_85)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.v_x _let_15 QUANTIFIERS_INST_E_MATCHING _let_59)) :args _let_57)) _let_58 :args (_let_124 false _let_3)) :args (_let_17 false _let_84 false _let_124)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_120 _let_121 _let_122 _let_123) :args (_let_76 _let_87 _let_20 _let_90)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_123)) (CONG (CONG (TRANS (SYMM (SYMM _let_122)) (CONG (SYMM (SYMM _let_121)) (REFL :args (_let_75)) :args _let_71)) (REFL :args (_let_16)) _let_66 _let_66 :args _let_65) _let_64 _let_63 :args _let_62) (TRUE_INTRO _let_120))) :args (_let_90 _let_87 _let_76 _let_20)) :args ((not (and _let_76 _let_87 _let_20 _let_90)) SB_LITERAL))) (CONG (REFL :args ((not _let_76))) (REFL :args ((not _let_87))) (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) (REFL :args ((not _let_90))) :args _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_16 _let_75 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_49)) _let_50 :args (_let_90 false _let_1)) (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_88 _let_87 (not _let_89)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.v_x _let_15 QUANTIFIERS_INST_E_MATCHING _let_43)) :args _let_41)) _let_42 :args (_let_89 false _let_4)) _let_119 _let_115 _let_101 _let_118 _let_91 (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_82 _let_25 _let_81 _let_80 _let_76 (not _let_83)))) _let_115 _let_101 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_12 tptp.v_ya tptp.v_xb QUANTIFIERS_INST_E_MATCHING ((tptp.c_Pair (tptp.c_Comb_Ocomb_Oop_A_D_D V_p V_q) V_r tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb)))) :args _let_92)) _let_93 :args (_let_83 false _let_9)) _let_91 :args ((or _let_25 _let_19) false _let_90 false _let_87 false _let_89 false _let_84 true _let_81 true _let_80 false _let_85 false _let_14 false _let_76 true _let_81 true _let_80 false _let_83 false _let_14)) _let_74 :args (_let_19 true _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_24)) :args _let_22)) _let_23 :args (_let_21 false _let_10)) :args (false false _let_17 false _let_19 false _let_21)) :args (_let_14 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1 (forall ((V_z $$unsorted) (V_w $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.tc_prod tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb))) (or (not (tptp.c_in (tptp.c_Pair V_z V_w tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract _let_1)) (not (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract _let_1)) (tptp.c_in (tptp.c_Pair (tptp.c_Comb_Ocomb_Oop_A_D_D V_x V_z) (tptp.c_Comb_Ocomb_Oop_A_D_D V_y V_w) tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.62 )
% 0.20/0.62 % SZS output end Proof for COL106-2
% 0.20/0.62 % cvc5---1.0.5 exiting
% 0.20/0.62 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------