TSTP Solution File: GRP700+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP700+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n001.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 00:27:13 EDT 2023
% Result : Theorem 11.03s 11.21s
% Output : Proof 11.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP700+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n001.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 01:03:36 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 11.03/11.21 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.tBUUbLWqvw/cvc5---1.0.5_28843.p...
% 11.03/11.21 ------- get file name : TPTP file name is GRP700+1
% 11.03/11.21 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_28843.smt2...
% 11.03/11.21 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 11.03/11.21 --- Run --no-e-matching --full-saturate-quant at 5...
% 11.03/11.21 % SZS status Theorem for GRP700+1
% 11.03/11.21 % SZS output start Proof for GRP700+1
% 11.03/11.21 (
% 11.03/11.21 (let ((_let_1 (not (forall ((X0 $$unsorted)) (exists ((X1 $$unsorted)) (and (= (tptp.mult X1 X0) tptp.unit) (= (tptp.mult X0 X1) tptp.unit))))))) (let ((_let_2 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.mult (tptp.mult (tptp.mult A B) A) (tptp.mult A C)) (tptp.mult A (tptp.mult (tptp.mult (tptp.mult B A) A) C)))))) (let ((_let_3 (forall ((A $$unsorted)) (= (tptp.mult tptp.unit A) A)))) (let ((_let_4 (forall ((A $$unsorted)) (= (tptp.mult A tptp.unit) A)))) (let ((_let_5 (forall ((B $$unsorted) (A $$unsorted)) (= (tptp.rd (tptp.mult A B) B) A)))) (let ((_let_6 (forall ((B $$unsorted) (A $$unsorted)) (= (tptp.mult A (tptp.ld A B)) B)))) (let ((_let_7 (tptp.mult tptp.unit tptp.unit))) (let ((_let_8 (= tptp.unit _let_7))) (let ((_let_9 (tptp.ld SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_7))) (let ((_let_10 (tptp.mult SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_9))) (let ((_let_11 (= _let_7 _let_10))) (let ((_let_12 (tptp.mult _let_9 tptp.unit))) (let ((_let_13 (= _let_9 _let_12))) (let ((_let_14 (tptp.mult tptp.unit _let_9))) (let ((_let_15 (= _let_9 _let_14))) (let ((_let_16 (tptp.mult _let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_17 (= tptp.unit _let_16))) (let ((_let_18 (= tptp.unit (tptp.rd _let_14 _let_9)))) (let ((_let_19 (= _let_9 (tptp.rd (tptp.mult _let_9 _let_9) _let_9)))) (let ((_let_20 (tptp.mult _let_16 _let_9))) (let ((_let_21 (= (tptp.mult _let_20 _let_12) (tptp.mult _let_9 (tptp.mult (tptp.mult _let_10 _let_9) tptp.unit))))) (let ((_let_22 (= _let_20 (tptp.rd (tptp.mult _let_20 _let_9) _let_9)))) (let ((_let_23 (= _let_16 (tptp.rd _let_20 _let_9)))) (let ((_let_24 (forall ((A $$unsorted)) (= A (tptp.mult A tptp.unit))))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (_let_24))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (tptp.unit QUANTIFIERS_INST_ENUM)) :args _let_26)) _let_25 :args (_let_8 false _let_24)))) (let ((_let_28 (forall ((B $$unsorted) (A $$unsorted)) (= B (tptp.mult A (tptp.ld A B)))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args (_let_28))) _let_29 :args (_let_11 false _let_28)))) (let ((_let_31 (_let_9 QUANTIFIERS_INST_ENUM))) (let ((_let_32 (forall ((A $$unsorted)) (= A (tptp.mult tptp.unit A))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (= tptp.unit _let_10))) (let ((_let_35 (not _let_34))) (let ((_let_36 (not _let_17))) (let ((_let_37 (or _let_36 _let_35))) (let ((_let_38 (forall ((X1 $$unsorted)) (or (not (= tptp.unit (tptp.mult X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (not (= tptp.unit (tptp.mult SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X1))))))) (let ((_let_39 (forall ((X0 $$unsorted)) (not (forall ((X1 $$unsorted)) (or (not (= tptp.unit (tptp.mult X1 X0))) (not (= tptp.unit (tptp.mult X0 X1))))))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (or))) (let ((_let_42 (_let_38))) (let ((_let_43 (not _let_39))) (let ((_let_44 (and _let_8 _let_11))) (let ((_let_45 (ASSUME :args (_let_11)))) (let ((_let_46 (SYMM _let_45))) (let ((_let_47 (ASSUME :args (_let_8)))) (let ((_let_48 (SYMM _let_47))) (let ((_let_49 (forall ((B $$unsorted) (A $$unsorted)) (= A (tptp.rd (tptp.mult A B) B))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (_let_49))) (let ((_let_52 (_let_2))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (not _let_23))) (let ((_let_55 (_let_54))) (let ((_let_56 (ASSUME :args (_let_23)))) (let ((_let_57 (ASSUME :args (_let_36)))) (let ((_let_58 (ASSUME :args (_let_18)))) (let ((_let_59 (APPLY_UF tptp.rd))) (let ((_let_60 (REFL :args (_let_9)))) (let ((_let_61 (ASSUME :args (_let_15)))) (let ((_let_62 (SYMM _let_61))) (let ((_let_63 (ASSUME :args (_let_13)))) (let ((_let_64 (SYMM _let_63))) (let ((_let_65 (ASSUME :args (_let_19)))) (let ((_let_66 (APPLY_UF tptp.mult))) (let ((_let_67 (ASSUME :args (_let_21)))) (let ((_let_68 (ASSUME :args (_let_22)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_56 (MODUS_PONENS (AND_INTRO _let_58 _let_61 _let_63 _let_65 _let_47 _let_45 _let_67 _let_68 _let_57) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS (CONG (TRANS (TRANS (SYMM (SYMM _let_68)) (CONG (TRANS (CONG (REFL :args (_let_20)) _let_63 :args _let_66) (SYMM (SYMM _let_67)) (CONG _let_60 (TRANS (CONG (TRANS (CONG (TRANS _let_46 _let_48) _let_60 :args _let_66) _let_62) (REFL :args (tptp.unit)) :args _let_66) _let_64) :args _let_66)) _let_60 :args _let_59) (SYMM _let_65) _let_63) (TRANS _let_64 (SYMM _let_62))) _let_60 :args _let_59) (SYMM _let_58)) (REFL :args (_let_16)) :args (=)) (FALSE_INTRO _let_57)) :args ((= _let_23 false)))) :args (_let_18 _let_15 _let_13 _let_19 _let_8 _let_11 _let_21 _let_22 _let_36)))) :args (_let_8 _let_11 _let_13 _let_15 _let_36 _let_18 _let_19 _let_21 _let_22 _let_23)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_55))) (TRUE_INTRO (SYMM (SYMM _let_56))))) :args (_let_23 _let_54)) :args ((not (and _let_8 _let_11 _let_13 _let_15 _let_36 _let_18 _let_19 _let_21 _let_22 _let_23)) SB_LITERAL))) (CONG (REFL :args ((not _let_8))) (REFL :args ((not _let_11))) (REFL :args ((not _let_13))) (REFL :args ((not _let_15))) (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_17))) (REFL :args ((not _let_18))) (REFL :args ((not _let_19))) (REFL :args ((not _let_21))) (REFL :args ((not _let_22))) (REFL :args _let_55) :args _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_9 _let_16 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_51)) _let_50 :args (_let_23 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_9 _let_20 QUANTIFIERS_INST_CBQI_PROP)) :args _let_51)) _let_50 :args (_let_22 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.unit SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_9 QUANTIFIERS_INST_ENUM)) :args _let_52)) _let_53 :args (_let_21 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_9 _let_9 QUANTIFIERS_INST_ENUM)) :args _let_51)) _let_50 :args (_let_19 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_9 tptp.unit QUANTIFIERS_INST_ENUM)) :args _let_51)) _let_50 :args (_let_18 false _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_36 _let_35 (not _let_37)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_44)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_45 _let_47) (SCOPE (TRANS (SYMM _let_48) (SYMM _let_46)) :args (_let_11 _let_8))) :args (_let_8 _let_11))) :args (true _let_44)) _let_27 _let_30 :args (_let_34 false _let_8 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_42) :args _let_31) :args _let_42)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_40) :args (_let_43)) (REWRITE :args ((=> _let_43 (not (not _let_38))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_39))) (REFL :args _let_42) :args _let_41)) _let_40 :args (_let_38 true _let_39)) :args (_let_37 false _let_38)) :args (_let_36 false _let_34 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args _let_31) :args (_let_32))) _let_33 :args (_let_15 false _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args _let_31) :args _let_26)) _let_25 :args (_let_13 false _let_24)) _let_30 _let_27 :args (false false _let_23 false _let_22 false _let_21 false _let_19 false _let_18 true _let_17 false _let_15 false _let_13 false _let_11 false _let_8)) :args (_let_6 (forall ((B $$unsorted) (A $$unsorted)) (= (tptp.ld A (tptp.mult A B)) B)) (forall ((B $$unsorted) (A $$unsorted)) (= (tptp.mult (tptp.rd A B) B) A)) _let_5 _let_4 _let_3 _let_2 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.mult (tptp.mult A B) (tptp.mult B (tptp.mult C B))) (tptp.mult (tptp.mult A (tptp.mult B (tptp.mult B C))) B))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 11.03/11.22 )
% 11.03/11.22 % SZS output end Proof for GRP700+1
% 11.03/11.22 % cvc5---1.0.5 exiting
% 11.03/11.22 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------