TSTP Solution File: GRP703+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP703+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 00:27:15 EDT 2023
% Result : Theorem 0.21s 0.61s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GRP703+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.13/0.36 % Computer : n022.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 : Tue Aug 29 00:02:39 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.61 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.RrTXuSNXTR/cvc5---1.0.5_14815.p...
% 0.21/0.61 ------- get file name : TPTP file name is GRP703+1
% 0.21/0.61 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_14815.smt2...
% 0.21/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.61 % SZS status Theorem for GRP703+1
% 0.21/0.61 % SZS output start Proof for GRP703+1
% 0.21/0.61 (
% 0.21/0.61 (let ((_let_1 (not (forall ((X2 $$unsorted) (X3 $$unsorted)) (let ((_let_1 (tptp.mult X2 X3))) (and (= (tptp.mult tptp.op_e _let_1) (tptp.mult (tptp.mult tptp.op_e X2) X3)) (= (tptp.mult X2 (tptp.mult X3 tptp.op_e)) (tptp.mult _let_1 tptp.op_e)) (= (tptp.mult X2 (tptp.mult tptp.op_e X3)) (tptp.mult (tptp.mult X2 tptp.op_e) X3)))))))) (let ((_let_2 (forall ((B $$unsorted) (A $$unsorted)) (= tptp.op_e (tptp.mult (tptp.mult (tptp.rd tptp.op_c (tptp.mult A B)) B) A))))) (let ((_let_3 (forall ((B $$unsorted) (A $$unsorted)) (= (tptp.mult A (tptp.mult tptp.op_c B)) (tptp.mult (tptp.mult A tptp.op_c) B))))) (let ((_let_4 (forall ((B $$unsorted) (A $$unsorted)) (= (tptp.mult A (tptp.mult B tptp.op_c)) (tptp.mult (tptp.mult A B) tptp.op_c))))) (let ((_let_5 (forall ((B $$unsorted) (A $$unsorted)) (= (tptp.mult tptp.op_c (tptp.mult A B)) (tptp.mult (tptp.mult tptp.op_c A) B))))) (let ((_let_6 (forall ((A $$unsorted)) (= (tptp.mult A tptp.unit) A)))) (let ((_let_7 (forall ((B $$unsorted) (A $$unsorted)) (= (tptp.rd (tptp.mult A B) B) A)))) (let ((_let_8 (forall ((B $$unsorted) (A $$unsorted)) (= (tptp.mult (tptp.rd A B) B) A)))) (let ((_let_9 (forall ((BOUND_VARIABLE_743 $$unsorted) (BOUND_VARIABLE_745 $$unsorted)) (= (tptp.mult BOUND_VARIABLE_743 (tptp.mult tptp.op_e BOUND_VARIABLE_745)) (tptp.mult (tptp.mult BOUND_VARIABLE_743 tptp.op_e) BOUND_VARIABLE_745))))) (let ((_let_10 (forall ((BOUND_VARIABLE_721 $$unsorted) (BOUND_VARIABLE_723 $$unsorted)) (= (tptp.mult tptp.op_e (tptp.mult BOUND_VARIABLE_721 BOUND_VARIABLE_723)) (tptp.mult (tptp.mult tptp.op_e BOUND_VARIABLE_721) BOUND_VARIABLE_723))))) (let ((_let_11 (forall ((BOUND_VARIABLE_732 $$unsorted) (BOUND_VARIABLE_734 $$unsorted)) (= (tptp.mult BOUND_VARIABLE_732 (tptp.mult BOUND_VARIABLE_734 tptp.op_e)) (tptp.mult (tptp.mult BOUND_VARIABLE_732 BOUND_VARIABLE_734) tptp.op_e))))) (let ((_let_12 (= (tptp.mult SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.mult tptp.op_e SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (tptp.mult (tptp.mult SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.op_e) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_13 (= (tptp.mult SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.mult tptp.op_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (tptp.mult (tptp.mult SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.op_c) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_14 (tptp.mult tptp.op_c tptp.unit))) (let ((_let_15 (tptp.mult _let_14 tptp.unit))) (let ((_let_16 (= _let_14 (tptp.rd _let_15 tptp.unit)))) (let ((_let_17 (tptp.mult tptp.unit tptp.unit))) (let ((_let_18 (tptp.mult (tptp.rd tptp.op_c _let_17) tptp.unit))) (let ((_let_19 (tptp.mult _let_18 tptp.unit))) (let ((_let_20 (= _let_18 (tptp.rd _let_19 tptp.unit)))) (let ((_let_21 (= tptp.op_e _let_19))) (let ((_let_22 (= (tptp.mult tptp.op_c _let_17) _let_15))) (let ((_let_23 (= tptp.unit _let_17))) (let ((_let_24 (= tptp.op_c (tptp.mult (tptp.rd tptp.op_c tptp.unit) tptp.unit)))) (let ((_let_25 (_let_3))) (let ((_let_26 (ASSUME :args _let_25))) (let ((_let_27 (forall ((B $$unsorted) (A $$unsorted)) (= A (tptp.rd (tptp.mult A B) B))))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (_let_27))) (let ((_let_30 ((tptp.mult A B)))) (let ((_let_31 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.unit _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_30)) :args _let_29)) _let_28 :args (_let_16 false _let_27)))) (let ((_let_32 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.unit _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_30)) :args _let_29)) _let_28 :args (_let_20 false _let_27)))) (let ((_let_33 (_let_2))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (tptp.unit tptp.unit QUANTIFIERS_INST_ENUM))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args _let_35) :args _let_33)) _let_34 :args (_let_21 false _let_2)))) (let ((_let_37 (_let_5))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args _let_35) :args _let_37)) _let_38 :args (_let_22 false _let_5)))) (let ((_let_40 (forall ((A $$unsorted)) (= A (tptp.mult A tptp.unit))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.unit QUANTIFIERS_INST_ENUM)) :args (_let_40))) _let_41 :args (_let_23 false _let_40)))) (let ((_let_43 (forall ((B $$unsorted) (A $$unsorted)) (= A (tptp.mult (tptp.rd A B) B))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.unit tptp.op_c QUANTIFIERS_INST_ENUM)) :args (_let_43))) _let_44 :args (_let_24 false _let_43)))) (let ((_let_46 (not _let_16))) (let ((_let_47 (not _let_20))) (let ((_let_48 (not _let_21))) (let ((_let_49 (not _let_22))) (let ((_let_50 (not _let_23))) (let ((_let_51 (not _let_24))) (let ((_let_52 (and _let_24 _let_23 _let_22 _let_21 _let_20 _let_16 _let_13))) (let ((_let_53 (APPLY_UF tptp.mult))) (let ((_let_54 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_55 (ASSUME :args (_let_21)))) (let ((_let_56 (SYMM _let_55))) (let ((_let_57 (REFL :args (tptp.unit)))) (let ((_let_58 (APPLY_UF tptp.rd))) (let ((_let_59 (ASSUME :args (_let_23)))) (let ((_let_60 (SYMM (SYMM _let_59)))) (let ((_let_61 (REFL :args (tptp.op_c)))) (let ((_let_62 (CONG (CONG _let_61 _let_60 :args _let_58) _let_57 :args _let_53))) (let ((_let_63 (ASSUME :args (_let_24)))) (let ((_let_64 (SYMM (SYMM _let_63)))) (let ((_let_65 (CONG (TRANS _let_64 _let_62) _let_57 :args _let_53))) (let ((_let_66 (ASSUME :args (_let_16)))) (let ((_let_67 (ASSUME :args (_let_22)))) (let ((_let_68 (ASSUME :args (_let_20)))) (let ((_let_69 (TRANS _let_64 _let_62 (SYMM (SYMM _let_68)) (CONG (TRANS (SYMM _let_65) (CONG _let_61 _let_60 :args _let_53) (SYMM (SYMM _let_67))) _let_57 :args _let_58) (SYMM _let_66) _let_65 _let_56))) (let ((_let_70 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_71 (ASSUME :args (_let_13)))) (let ((_let_72 (SYMM _let_69))) (let ((_let_73 (or))) (let ((_let_74 (not _let_9))) (let ((_let_75 (_let_74))) (let ((_let_76 (tptp.mult SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_77 (= (tptp.mult tptp.op_e _let_76) (tptp.mult (tptp.mult tptp.op_e SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_78 (= (tptp.mult tptp.op_c _let_76) (tptp.mult (tptp.mult tptp.op_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_79 (= (tptp.mult tptp.op_c (tptp.mult tptp.unit SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.mult _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_80 (and _let_24 _let_23 _let_22 _let_21 _let_20 _let_16 _let_79 _let_78))) (let ((_let_81 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_82 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_83 (ASSUME :args (_let_79)))) (let ((_let_84 (TRANS (SYMM (SYMM _let_83)) (CONG (TRANS _let_65 _let_56) _let_82 :args _let_53)))) (let ((_let_85 (ASSUME :args (_let_78)))) (let ((_let_86 (not _let_10))) (let ((_let_87 (_let_86))) (let ((_let_88 (tptp.mult SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_89 (= (tptp.mult SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 (tptp.mult SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.op_e)) (tptp.mult _let_88 tptp.op_e)))) (let ((_let_90 (= (tptp.mult _let_88 tptp.op_c) (tptp.mult SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 (tptp.mult SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 tptp.op_c))))) (let ((_let_91 (_let_4))) (let ((_let_92 (ASSUME :args _let_91))) (let ((_let_93 (and _let_24 _let_23 _let_22 _let_21 _let_20 _let_16 _let_90))) (let ((_let_94 (ASSUME :args (_let_90)))) (let ((_let_95 (not _let_11))) (let ((_let_96 (_let_95))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_96)) :args _let_96)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_95) _let_11))) (REFL :args ((not _let_89))) :args _let_73)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_93)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_55 _let_59 _let_63 _let_66 _let_67 _let_68 _let_94) (SCOPE (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) _let_72 :args _let_53) :args _let_53) (SYMM _let_94) (CONG (REFL :args (_let_88)) _let_69 :args _let_53)) :args (_let_21 _let_23 _let_24 _let_16 _let_22 _let_20 _let_90))) :args (_let_24 _let_23 _let_22 _let_21 _let_20 _let_16 _let_90))) :args (true _let_93)) :args ((or _let_89 _let_51 _let_50 _let_49 _let_48 _let_47 _let_46 (not _let_90)))) _let_45 _let_42 _let_39 _let_36 _let_32 _let_31 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_92 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING ((tptp.mult A (tptp.mult B tptp.op_c))))) :args _let_91))) _let_92 :args (_let_90 false _let_4)) :args (_let_89 false _let_24 false _let_23 false _let_22 false _let_21 false _let_20 false _let_16 false _let_90)) :args (_let_11 false _let_89)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_87)) :args _let_87)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_86) _let_10))) (REFL :args ((not _let_77))) :args _let_73)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_80)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_55 _let_59 _let_63 _let_83 _let_66 _let_67 _let_68 _let_85) (SCOPE (TRANS (CONG _let_72 (REFL :args (_let_76)) :args _let_53) (SYMM (SYMM _let_85)) (CONG (TRANS (CONG _let_69 _let_82 :args _let_53) (SYMM _let_84)) _let_81 :args _let_53) (CONG _let_84 _let_81 :args _let_53)) :args (_let_21 _let_23 _let_24 _let_79 _let_16 _let_22 _let_20 _let_78))) :args (_let_24 _let_23 _let_22 _let_21 _let_20 _let_16 _let_79 _let_78))) :args (true _let_80)) :args ((or _let_77 _let_51 _let_50 _let_49 _let_48 _let_47 _let_46 (not _let_79) (not _let_78)))) _let_45 _let_42 _let_39 _let_36 _let_32 _let_31 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.unit QUANTIFIERS_INST_E_MATCHING ((tptp.mult (tptp.mult tptp.op_c A) B)))) :args _let_37)) _let_38 :args (_let_79 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((tptp.mult tptp.op_c (tptp.mult A B))))) :args _let_37)) _let_38 :args (_let_78 false _let_5)) :args (_let_77 false _let_24 false _let_23 false _let_22 false _let_21 false _let_20 false _let_16 false _let_79 false _let_78)) :args (_let_10 false _let_77)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_75)) :args _let_75)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_74) _let_9))) (REFL :args ((not _let_12))) :args _let_73)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_52)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_55 _let_59 _let_63 _let_66 _let_67 _let_68 _let_71) (SCOPE (TRANS (CONG _let_70 (CONG _let_72 _let_54 :args _let_53) :args _let_53) (SYMM (SYMM _let_71)) (CONG (CONG _let_70 _let_69 :args _let_53) _let_54 :args _let_53)) :args (_let_21 _let_23 _let_24 _let_16 _let_22 _let_20 _let_13))) :args (_let_24 _let_23 _let_22 _let_21 _let_20 _let_16 _let_13))) :args (true _let_52)) :args ((or _let_12 _let_51 _let_50 _let_49 _let_48 _let_47 _let_46 (not _let_13)))) _let_45 _let_42 _let_39 _let_36 _let_32 _let_31 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((tptp.mult A (tptp.mult tptp.op_c B))))) :args _let_25)) _let_26 :args (_let_13 false _let_3)) :args (_let_12 false _let_24 false _let_23 false _let_22 false _let_21 false _let_20 false _let_16 false _let_13)) :args (_let_9 false _let_12)) :args (false false _let_11 false _let_10 false _let_9)) :args ((forall ((B $$unsorted) (A $$unsorted)) (= (tptp.mult A (tptp.ld A B)) B)) (forall ((B $$unsorted) (A $$unsorted)) (= (tptp.ld A (tptp.mult A B)) B)) _let_8 _let_7 _let_6 (forall ((A $$unsorted)) (= (tptp.mult tptp.unit A) A)) (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.mult A (tptp.mult B (tptp.mult B C))) (tptp.mult (tptp.mult (tptp.mult A B) B) C))) _let_5 _let_4 _let_3 (forall ((A $$unsorted)) (= tptp.op_d (tptp.ld A (tptp.mult tptp.op_c A)))) _let_2 (forall ((B $$unsorted) (A $$unsorted)) (= tptp.op_f (tptp.mult A (tptp.mult B (tptp.ld (tptp.mult A B) tptp.op_c))))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.62 )
% 0.21/0.62 % SZS output end Proof for GRP703+1
% 0.21/0.62 % cvc5---1.0.5 exiting
% 0.21/0.62 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------