TSTP Solution File: GRP402-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP402-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n026.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 : Thu Aug 31 00:25:57 EDT 2023
% Result : Unsatisfiable 0.21s 0.63s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP402-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.36 % Computer : n026.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Mon Aug 28 21:28:20 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.OTdFGQkwa8/cvc5---1.0.5_3510.p...
% 0.21/0.51 ------- get file name : TPTP file name is GRP402-1
% 0.21/0.51 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_3510.smt2...
% 0.21/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.63 % SZS status Unsatisfiable for GRP402-1
% 0.21/0.63 % SZS output start Proof for GRP402-1
% 0.21/0.63 (
% 0.21/0.63 (let ((_let_1 (tptp.commutator tptp.b tptp.c))) (let ((_let_2 (tptp.commutator tptp.a _let_1))) (let ((_let_3 (tptp.commutator tptp.a tptp.b))) (let ((_let_4 (tptp.commutator _let_3 tptp.c))) (let ((_let_5 (= _let_4 _let_2))) (let ((_let_6 (not _let_5))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.commutator A B))) (= (tptp.multiply _let_1 C) (tptp.multiply C _let_1)))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.multiply B (tptp.multiply A (tptp.commutator A B))))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply A C))) (= B C))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_11 (tptp.multiply tptp.b tptp.a))) (let ((_let_12 (tptp.multiply _let_11 _let_3))) (let ((_let_13 (tptp.multiply tptp.a _let_3))) (let ((_let_14 (= (tptp.multiply tptp.b _let_13) _let_12))) (let ((_let_15 (tptp.multiply _let_3 tptp.a))) (let ((_let_16 (= _let_13 _let_15))) (let ((_let_17 (tptp.multiply tptp.b _let_3))) (let ((_let_18 (tptp.multiply _let_17 tptp.a))) (let ((_let_19 (= _let_18 (tptp.multiply tptp.b _let_15)))) (let ((_let_20 (tptp.multiply _let_3 _let_4))) (let ((_let_21 (= _let_3 _let_20))) (let ((_let_22 (tptp.multiply tptp.a _let_2))) (let ((_let_23 (= tptp.a _let_22))) (let ((_let_24 (= (tptp.multiply _let_12 _let_4) (tptp.multiply _let_11 _let_20)))) (let ((_let_25 (tptp.multiply _let_18 _let_2))) (let ((_let_26 (= _let_25 (tptp.multiply _let_17 _let_22)))) (let ((_let_27 (= _let_25 (tptp.multiply _let_18 _let_4)))) (let ((_let_28 (_let_10))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 ((tptp.multiply X (tptp.multiply Y Z))))) (let ((_let_31 (_let_7))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 (tptp.commutator A B))) (let ((_let_34 ((tptp.multiply C _let_33)))) (let ((_let_35 (tptp.multiply tptp.c _let_3))) (let ((_let_36 (tptp.multiply tptp.c _let_20))) (let ((_let_37 (= _let_36 _let_35))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_21))) (let ((_let_40 (_let_9))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 ((tptp.multiply A B) (tptp.multiply A C)))) (let ((_let_43 (tptp.multiply _let_3 tptp.c))) (let ((_let_44 (= _let_43 _let_35))) (let ((_let_45 (= _let_43 _let_36))) (let ((_let_46 (_let_8))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 ((tptp.commutator A B)))) (let ((_let_49 (and _let_45 _let_44))) (let ((_let_50 (ASSUME :args (_let_44)))) (let ((_let_51 (ASSUME :args (_let_45)))) (let ((_let_52 (tptp.multiply _let_1 tptp.a))) (let ((_let_53 (tptp.multiply _let_1 _let_22))) (let ((_let_54 (= _let_53 _let_52))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_55 _let_23))) (let ((_let_57 (tptp.multiply tptp.a _let_1))) (let ((_let_58 (= _let_57 _let_52))) (let ((_let_59 (= _let_57 _let_53))) (let ((_let_60 (and _let_59 _let_58))) (let ((_let_61 (ASSUME :args (_let_58)))) (let ((_let_62 (ASSUME :args (_let_59)))) (let ((_let_63 (not _let_27))) (let ((_let_64 (or _let_63 _let_5))) (let ((_let_65 (ASSUME :args (_let_63)))) (let ((_let_66 (APPLY_UF tptp.multiply))) (let ((_let_67 (ASSUME :args (_let_19)))) (let ((_let_68 (ASSUME :args (_let_16)))) (let ((_let_69 (CONG (REFL :args (tptp.b)) (SYMM (SYMM _let_68)) :args _let_66))) (let ((_let_70 (ASSUME :args (_let_14)))) (let ((_let_71 (ASSUME :args (_let_24)))) (let ((_let_72 (ASSUME :args (_let_21)))) (let ((_let_73 (ASSUME :args (_let_23)))) (let ((_let_74 (ASSUME :args (_let_26)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS (AND_INTRO _let_67 _let_68 _let_70 _let_71 _let_72 _let_73 _let_74) (SCOPE (TRANS (SYMM (SYMM _let_74)) (CONG (REFL :args (_let_17)) (SYMM _let_73) :args _let_66) _let_67 (SYMM _let_69) _let_70 (CONG (REFL :args (_let_11)) (SYMM (SYMM _let_72)) :args _let_66) (SYMM _let_71) (CONG (TRANS (SYMM _let_70) _let_69 (SYMM _let_67)) (REFL :args (_let_4)) :args _let_66)) :args (_let_19 _let_16 _let_14 _let_24 _let_21 _let_23 _let_26))) _let_65) :args (_let_14 _let_16 _let_19 _let_23 _let_21 _let_24 _let_26 _let_63)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO (SYMM (SYMM (ASSUME :args (_let_27)))))) (FALSE_INTRO _let_65))) :args (_let_27 _let_63)) :args ((not (and _let_14 _let_16 _let_19 _let_23 _let_21 _let_24 _let_26 _let_63)) SB_LITERAL))) (CONG (REFL :args ((not _let_14))) (REFL :args ((not _let_16))) (REFL :args ((not _let_19))) (REFL :args ((not _let_23))) (REFL :args ((not _let_21))) (REFL :args ((not _let_24))) (REFL :args ((not _let_26))) (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_27))) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_5 _let_63 (not _let_64)))) (ASSUME :args (_let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_18 _let_2 _let_4 QUANTIFIERS_INST_E_MATCHING _let_42)) :args _let_40))) _let_41 :args (_let_64 false _let_9)) :args (_let_63 true _let_5 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_17 tptp.a _let_2 QUANTIFIERS_INST_E_MATCHING _let_30)) :args _let_28)) _let_29 :args (_let_26 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_11 _let_3 _let_4 QUANTIFIERS_INST_E_MATCHING _let_30)) :args _let_28)) _let_29 :args (_let_24 false _let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_55 _let_23 (not _let_56)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_60)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_61 _let_62) (SCOPE (TRANS (SYMM _let_62) (SYMM (SYMM _let_61))) :args (_let_58 _let_59))) :args (_let_59 _let_58))) :args (true _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_48)) :args _let_46)) _let_47 :args (_let_59 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_32 :args (tptp.b tptp.c tptp.a QUANTIFIERS_INST_E_MATCHING _let_34)) :args _let_31))) _let_32 :args (_let_58 false _let_7)) :args (_let_54 false _let_59 false _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_1 _let_22 tptp.a QUANTIFIERS_INST_E_MATCHING _let_42)) :args _let_40))) _let_41 :args (_let_56 false _let_9)) :args (_let_23 false _let_54 false _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_38 _let_21 (not _let_39)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_49)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_50 _let_51) (SCOPE (TRANS (SYMM _let_51) (SYMM (SYMM _let_50))) :args (_let_44 _let_45))) :args (_let_45 _let_44))) :args (true _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_3 tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_48)) :args _let_46)) _let_47 :args (_let_45 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (tptp.a tptp.b tptp.c QUANTIFIERS_INST_E_MATCHING ((tptp.multiply _let_33 C)))) :args _let_31)) _let_32 :args (_let_44 false _let_7)) :args (_let_37 false _let_45 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.c _let_20 _let_3 QUANTIFIERS_INST_E_MATCHING _let_42)) :args _let_40))) _let_41 :args (_let_39 false _let_9)) :args (_let_21 false _let_37 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.b _let_3 tptp.a QUANTIFIERS_INST_E_MATCHING _let_30)) :args _let_28)) _let_29 :args (_let_19 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_32 :args (tptp.a tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING _let_34)) :args _let_31))) _let_32 :args (_let_16 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.b tptp.a _let_3 QUANTIFIERS_INST_E_MATCHING _let_30)) :args _let_28))) _let_29 :args (_let_14 false _let_10)) :args (false true _let_27 false _let_26 false _let_24 false _let_23 false _let_21 false _let_19 false _let_16 false _let_14)) :args (_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.multiply A B) (tptp.multiply C B))) (= A C))) _let_9 _let_8 _let_7 _let_6)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.63 )
% 0.21/0.64 % SZS output end Proof for GRP402-1
% 0.21/0.64 % cvc5---1.0.5 exiting
% 0.21/0.64 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------