TSTP Solution File: GRP684-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP684-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n022.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 00:27:10 EDT 2023
% Result : Unsatisfiable 11.20s 11.40s
% Output : Proof 11.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP684-1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.16/0.36 % Computer : n022.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon Aug 28 21:12:39 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.22/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.yg1PWYh8oJ/cvc5---1.0.5_9032.p...
% 0.22/0.51 ------- get file name : TPTP file name is GRP684-1
% 0.22/0.51 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_9032.smt2...
% 0.22/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.45/10.64 --- Run --no-e-matching --full-saturate-quant at 5...
% 11.20/11.40 % SZS status Unsatisfiable for GRP684-1
% 11.20/11.40 % SZS output start Proof for GRP684-1
% 11.20/11.40 (
% 11.20/11.40 (let ((_let_1 (tptp.mult tptp.b tptp.c))) (let ((_let_2 (tptp.rd (tptp.mult tptp.a _let_1) _let_1))) (let ((_let_3 (= _let_2 (tptp.rd (tptp.mult tptp.a tptp.c) tptp.c)))) (let ((_let_4 (not _let_3))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ld A (tptp.mult A (tptp.ld B B))) (tptp.rd (tptp.mult (tptp.rd A A) B) B))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.rd C D))) (= (tptp.rd (tptp.mult (tptp.mult A B) _let_1) _let_1) (tptp.mult A (tptp.rd (tptp.mult B D) D))))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.mult (tptp.rd A B) B) (tptp.rd (tptp.mult A B) B))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.mult A (tptp.ld A B)) (tptp.ld A (tptp.mult A B)))))) (let ((_let_9 (forall ((A $$unsorted)) (= (tptp.rd (tptp.mult A A) A) A)))) (let ((_let_10 (forall ((A $$unsorted)) (= (tptp.ld A (tptp.mult A A)) A)))) (let ((_let_11 (tptp.rd (tptp.mult tptp.a tptp.a) tptp.a))) (let ((_let_12 (= tptp.a _let_11))) (let ((_let_13 (tptp.rd tptp.a tptp.a))) (let ((_let_14 (tptp.mult _let_13 tptp.a))) (let ((_let_15 (= _let_11 _let_14))) (let ((_let_16 (tptp.mult tptp.c tptp.c))) (let ((_let_17 (tptp.ld tptp.c _let_16))) (let ((_let_18 (= tptp.c _let_17))) (let ((_let_19 (tptp.rd _let_16 tptp.c))) (let ((_let_20 (= tptp.c _let_19))) (let ((_let_21 (tptp.mult _let_1 _let_1))) (let ((_let_22 (tptp.rd _let_21 _let_1))) (let ((_let_23 (= _let_1 _let_22))) (let ((_let_24 (tptp.ld tptp.c tptp.c))) (let ((_let_25 (tptp.mult tptp.c _let_24))) (let ((_let_26 (= _let_17 _let_25))) (let ((_let_27 (tptp.mult (tptp.rd tptp.c tptp.c) tptp.c))) (let ((_let_28 (= _let_19 _let_27))) (let ((_let_29 (= (tptp.ld tptp.c _let_25) (tptp.rd _let_27 tptp.c)))) (let ((_let_30 (= (tptp.rd (tptp.mult _let_1 _let_19) _let_19) (tptp.mult tptp.b _let_19)))) (let ((_let_31 (tptp.mult _let_1 tptp.c))) (let ((_let_32 (tptp.rd _let_31 tptp.c))) (let ((_let_33 (= (tptp.rd (tptp.mult _let_25 _let_32) _let_32) (tptp.mult tptp.c (tptp.rd (tptp.mult _let_24 tptp.c) tptp.c))))) (let ((_let_34 (tptp.mult _let_13 _let_2))) (let ((_let_35 (= _let_34 (tptp.rd (tptp.mult _let_14 _let_22) _let_22)))) (let ((_let_36 (tptp.mult tptp.c _let_1))) (let ((_let_37 (tptp.rd _let_36 _let_1))) (let ((_let_38 (= _let_34 (tptp.rd (tptp.mult _let_14 _let_37) _let_37)))) (let ((_let_39 (ASSUME :args (_let_4)))) (let ((_let_40 (forall ((A $$unsorted)) (= A (tptp.rd (tptp.mult A A) A))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (_let_40))) (let ((_let_43 (_let_7))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (forall ((A $$unsorted)) (= A (tptp.ld A (tptp.mult A A)))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (tptp.c QUANTIFIERS_INST_ENUM))) (let ((_let_48 (_let_8))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 (tptp.c tptp.c QUANTIFIERS_INST_ENUM))) (let ((_let_51 (_let_5))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 (_let_6))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 (and _let_4 _let_12 _let_15 _let_18 _let_20 _let_23 _let_26 _let_28 _let_29 _let_30 _let_33 _let_35))) (let ((_let_56 (APPLY_UF tptp.rd))) (let ((_let_57 (ASSUME :args (_let_18)))) (let ((_let_58 (SYMM _let_57))) (let ((_let_59 (ASSUME :args (_let_26)))) (let ((_let_60 (SYMM _let_59))) (let ((_let_61 (APPLY_UF tptp.mult))) (let ((_let_62 (TRANS _let_60 _let_58))) (let ((_let_63 (REFL :args (tptp.c)))) (let ((_let_64 (CONG _let_63 _let_62 :args (APPLY_UF tptp.ld)))) (let ((_let_65 (ASSUME :args (_let_29)))) (let ((_let_66 (ASSUME :args (_let_28)))) (let ((_let_67 (SYMM _let_66))) (let ((_let_68 (ASSUME :args (_let_20)))) (let ((_let_69 (SYMM _let_68))) (let ((_let_70 (SYMM _let_69))) (let ((_let_71 (CONG (TRANS _let_70 (SYMM _let_67)) _let_63 :args _let_56))) (let ((_let_72 (ASSUME :args (_let_33)))) (let ((_let_73 (ASSUME :args (_let_30)))) (let ((_let_74 (TRANS (CONG (REFL :args (tptp.b)) _let_70 :args _let_61) (SYMM _let_73) (CONG (CONG (REFL :args (_let_1)) _let_69 :args _let_61) _let_69 :args _let_56)))) (let ((_let_75 (TRANS (CONG (CONG (SYMM _let_62) _let_74 :args _let_61) _let_74 :args _let_56) (SYMM (SYMM _let_72)) (CONG _let_63 (TRANS (CONG (TRANS (CONG (TRANS (SYMM _let_64) _let_65 (SYMM _let_71)) _let_63 :args _let_61) _let_67 _let_69) _let_63 :args _let_56) _let_71 (SYMM _let_65) _let_64) :args _let_61) _let_60 _let_58))) (let ((_let_76 (ASSUME :args (_let_12)))) (let ((_let_77 (ASSUME :args (_let_15)))) (let ((_let_78 (TRANS (SYMM _let_77) (SYMM _let_76)))) (let ((_let_79 (ASSUME :args (_let_23)))) (let ((_let_80 (SYMM _let_79))) (let ((_let_81 (ASSUME :args (_let_35)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_55)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_39 _let_76 _let_77 _let_79 _let_81 _let_57 _let_59 _let_65 _let_66 _let_68 _let_72 _let_73) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (SYMM (SYMM _let_81)) (CONG (CONG _let_78 _let_80 :args _let_61) _let_80 :args _let_56)) (CONG (CONG _let_78 _let_75 :args _let_61) _let_75 :args _let_56) :args (=)) (FALSE_INTRO _let_39))) :args (_let_4 _let_12 _let_15 _let_23 _let_35 _let_18 _let_26 _let_29 _let_28 _let_20 _let_33 _let_30))) :args (_let_4 _let_12 _let_15 _let_18 _let_20 _let_23 _let_26 _let_28 _let_29 _let_30 _let_33 _let_35))) :args (true _let_55)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_3))) (REFL :args ((not _let_12))) (REFL :args ((not _let_15))) (REFL :args ((not _let_18))) (REFL :args ((not _let_20))) (REFL :args ((not _let_23))) (REFL :args ((not _let_26))) (REFL :args ((not _let_28))) (REFL :args ((not _let_29))) (REFL :args ((not _let_30))) (REFL :args ((not _let_33))) (REFL :args ((not _let_35))) (REFL :args ((not _let_38))) :args (or))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_13 tptp.a _let_36 _let_1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_53))) _let_54 :args (_let_38 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_13 tptp.a _let_21 _let_1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_53))) _let_54 :args (_let_35 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.c _let_24 _let_31 tptp.c QUANTIFIERS_INST_CBQI_PROP)) :args _let_53)) _let_54 :args (_let_33 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.b tptp.c _let_16 tptp.c QUANTIFIERS_INST_CBQI_PROP)) :args _let_53)) _let_54 :args (_let_30 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args _let_50) :args _let_51)) _let_52 :args (_let_29 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_44 :args _let_50) :args _let_43))) _let_44 :args (_let_28 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_49 :args _let_50) :args _let_48))) _let_49 :args (_let_26 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_1 QUANTIFIERS_INST_ENUM)) :args _let_42)) _let_41 :args (_let_23 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args _let_47) :args _let_42)) _let_41 :args (_let_20 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args _let_47) :args (_let_45))) _let_46 :args (_let_18 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.a tptp.a QUANTIFIERS_INST_ENUM)) :args _let_43))) _let_44 :args (_let_15 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.a QUANTIFIERS_INST_ENUM)) :args _let_42)) _let_41 :args (_let_12 false _let_40)) _let_39 :args (false false _let_38 false _let_35 false _let_33 false _let_30 false _let_29 false _let_28 false _let_26 false _let_23 false _let_20 false _let_18 false _let_15 false _let_12 true _let_3)) :args (_let_10 _let_9 _let_8 _let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.ld A B))) (= (tptp.ld _let_1 (tptp.mult _let_1 (tptp.mult C D))) (tptp.mult (tptp.ld A (tptp.mult A C)) D)))) _let_6 _let_5 _let_4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 11.20/11.40 )
% 11.20/11.40 % SZS output end Proof for GRP684-1
% 11.20/11.40 % cvc5---1.0.5 exiting
% 11.20/11.41 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------