TSTP Solution File: REL046+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : REL046+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n027.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 13:37:01 EDT 2023
% Result : Theorem 0.22s 0.58s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : REL046+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n027.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri Aug 25 20:13:49 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.58 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.s3fK2Bq230/cvc5---1.0.5_18670.p...
% 0.22/0.58 ------- get file name : TPTP file name is REL046+1
% 0.22/0.58 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_18670.smt2...
% 0.22/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.58 % SZS status Theorem for REL046+1
% 0.22/0.58 % SZS output start Proof for REL046+1
% 0.22/0.58 (
% 0.22/0.58 (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (let ((_let_1 (tptp.meet X1 X2))) (=> (= (tptp.join X0 _let_1) _let_1) (and (= (tptp.join X0 X1) X1) (= (tptp.join X0 X2) X2)))))))) (let ((_let_2 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.meet X0 X1) (tptp.complement (tptp.join (tptp.complement X0) (tptp.complement X1))))))) (let ((_let_3 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.complement X0))) (= X0 (tptp.join (tptp.complement (tptp.join _let_1 (tptp.complement X1))) (tptp.complement (tptp.join _let_1 X1)))))))) (let ((_let_4 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (= (tptp.join X0 (tptp.join X1 X2)) (tptp.join (tptp.join X0 X1) X2))))) (let ((_let_5 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.join X0 X1) (tptp.join X1 X0))))) (let ((_let_6 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_7 (tptp.complement (tptp.join _let_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_8 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_9 (tptp.join _let_6 _let_8))) (let ((_let_10 (tptp.complement _let_9))) (let ((_let_11 (tptp.join _let_10 _let_7))) (let ((_let_12 (= (tptp.join SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_11) (tptp.join (tptp.join SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10) _let_7)))) (let ((_let_13 (_let_4))) (let ((_let_14 (ASSUME :args _let_13))) (let ((_let_15 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_11))) (let ((_let_16 (tptp.join _let_8 _let_6))) (let ((_let_17 (= _let_16 _let_9))) (let ((_let_18 (tptp.complement _let_16))) (let ((_let_19 (tptp.meet SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_20 (= _let_19 _let_18))) (let ((_let_21 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.join SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_22 (= _let_19 (tptp.join SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19)))) (let ((_let_23 (not _let_12))) (let ((_let_24 (_let_3))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 ((tptp.complement (tptp.join (tptp.complement X0) (tptp.complement X1)))))) (let ((_let_27 (_let_5))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 (_let_2))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.meet X0 X1)))) :args _let_29)) _let_30 :args (_let_20 false _let_2)))) (let ((_let_32 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.join SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_33 (and _let_32 _let_21))) (let ((_let_34 (not _let_21))) (let ((_let_35 (tptp.complement (tptp.join _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_36 (tptp.join _let_18 _let_35))) (let ((_let_37 (= (tptp.join SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_36) (tptp.join (tptp.join SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18) _let_35)))) (let ((_let_38 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_36))) (let ((_let_39 ((tptp.join X0 (tptp.join X1 X2))))) (let ((_let_40 (not _let_22))) (let ((_let_41 (or _let_40 _let_33))) (let ((_let_42 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (let ((_let_1 (tptp.meet X1 X2))) (or (not (= _let_1 (tptp.join X0 _let_1))) (and (= X1 (tptp.join X0 X1)) (= X2 (tptp.join X0 X2)))))))) (let ((_let_43 (not _let_41))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (or))) (let ((_let_46 (not _let_42))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_44) :args (_let_46))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_42))) (REFL :args (_let_43)) :args _let_45)) _let_44 :args (_let_43 true _let_42)))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_41 0)) (CONG (REFL :args (_let_41)) (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_22))) :args _let_45)) :args ((or _let_22 _let_41))) _let_47 :args (_let_22 true _let_41)))) (let ((_let_49 (not _let_20))) (let ((_let_50 (and _let_22 _let_20 _let_38 _let_37))) (let ((_let_51 (APPLY_UF tptp.join))) (let ((_let_52 (ASSUME :args (_let_38)))) (let ((_let_53 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_54 (ASSUME :args (_let_37)))) (let ((_let_55 (ASSUME :args (_let_20)))) (let ((_let_56 (SYMM _let_55))) (let ((_let_57 (SYMM _let_56))) (let ((_let_58 (ASSUME :args (_let_22)))) (let ((_let_59 (SYMM _let_58))) (let ((_let_60 (and _let_22 _let_34 _let_20 _let_17 _let_15))) (let ((_let_61 (ASSUME :args (_let_34)))) (let ((_let_62 (ASSUME :args (_let_15)))) (let ((_let_63 (SYMM _let_62))) (let ((_let_64 (ASSUME :args (_let_17)))) (let ((_let_65 (TRANS _let_57 (CONG (SYMM (SYMM _let_64)) :args (APPLY_UF tptp.complement))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10 _let_7 QUANTIFIERS_INST_E_MATCHING _let_39)) :args _let_13)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_60)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_62 _let_64 _let_55 _let_58 _let_61) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS (CONG (TRANS (TRANS (CONG _let_53 (SYMM _let_65) :args _let_51) _let_59) _let_65) (REFL :args (_let_7)) :args _let_51) _let_63) (CONG _let_53 _let_63 :args _let_51) :args (=)) (FALSE_INTRO _let_61)) :args ((= _let_12 false)))) :args (_let_15 _let_17 _let_20 _let_22 _let_34))) :args (_let_22 _let_34 _let_20 _let_17 _let_15))) :args (true _let_60)) (CONG (REFL :args (_let_40)) (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_21))) (REFL :args (_let_49)) (REFL :args ((not _let_17))) (REFL :args ((not _let_15))) (REFL :args (_let_23)) :args _let_45)) _let_48 (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_33)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_41 1)) _let_47 :args ((not _let_33) true _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_50)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_52 _let_54 _let_55 _let_58) (SCOPE (TRANS _let_52 (CONG (TRANS _let_56 (TRANS (SYMM _let_59) (CONG _let_53 _let_57 :args _let_51))) (REFL :args (_let_35)) :args _let_51) (SYMM _let_54) (CONG _let_53 (SYMM _let_52) :args _let_51)) :args (_let_38 _let_37 _let_20 _let_22))) :args (_let_22 _let_20 _let_38 _let_37))) :args (true _let_50)) :args ((or _let_40 _let_32 _let_49 (not _let_38) (not _let_37)))) _let_48 _let_31 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_26)) :args _let_24)) _let_25 :args (_let_38 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18 _let_35 QUANTIFIERS_INST_E_MATCHING _let_39)) :args _let_13)) _let_14 :args (_let_37 false _let_4)) :args (_let_32 false _let_22 false _let_20 false _let_38 false _let_37)) :args (_let_34 true _let_33 false _let_32)) _let_31 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_8 _let_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.join X0 X1)))) :args _let_27)) _let_28 :args (_let_17 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_26)) :args _let_24)) _let_25 :args (_let_15 false _let_3)) :args (_let_23 false _let_22 true _let_21 false _let_20 false _let_17 false _let_15)) _let_14 :args (false true _let_12 false _let_4)) :args (_let_5 _let_4 _let_3 _let_2 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (= (tptp.composition X0 (tptp.composition X1 X2)) (tptp.composition (tptp.composition X0 X1) X2))) (forall ((X0 $$unsorted)) (= (tptp.composition X0 tptp.one) X0)) (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (= (tptp.composition (tptp.join X0 X1) X2) (tptp.join (tptp.composition X0 X2) (tptp.composition X1 X2)))) (forall ((X0 $$unsorted)) (= (tptp.converse (tptp.converse X0)) X0)) (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.converse (tptp.join X0 X1)) (tptp.join (tptp.converse X0) (tptp.converse X1)))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.converse (tptp.composition X0 X1)) (tptp.composition (tptp.converse X1) (tptp.converse X0)))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.complement X1))) (= (tptp.join (tptp.composition (tptp.converse X0) (tptp.complement (tptp.composition X0 X1))) _let_1) _let_1))) (forall ((X0 $$unsorted)) (= tptp.top (tptp.join X0 (tptp.complement X0)))) (forall ((X0 $$unsorted)) (= tptp.zero (tptp.meet X0 (tptp.complement X0)))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.59 )
% 0.22/0.59 % SZS output end Proof for REL046+1
% 0.22/0.59 % cvc5---1.0.5 exiting
% 0.22/0.59 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------