TSTP Solution File: REL049+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : REL049+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n016.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 13:37:02 EDT 2023
% Result : Theorem 0.21s 0.51s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : REL049+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 23:13:41 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.sdUHZIMlbK/cvc5---1.0.5_6577.p...
% 0.21/0.51 ------- get file name : TPTP file name is REL049+1
% 0.21/0.51 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_6577.smt2...
% 0.21/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.51 % SZS status Theorem for REL049+1
% 0.21/0.51 % SZS output start Proof for REL049+1
% 0.21/0.51 (
% 0.21/0.51 (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (=> (and (= (tptp.join X0 X1) X1) (= (tptp.join X2 X1) X1)) (= (tptp.join (tptp.join X0 X2) X1) X1)))))) (let ((_let_2 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (= (tptp.join X0 (tptp.join X1 X2)) (tptp.join (tptp.join X0 X1) X2))))) (let ((_let_3 (tptp.join SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_4 (tptp.join (tptp.join SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_5 (= _let_4 (tptp.join SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_3)))) (let ((_let_6 (_let_2))) (let ((_let_7 (ASSUME :args _let_6))) (let ((_let_8 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_4))) (let ((_let_9 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_3))) (let ((_let_10 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.join SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_11 (not _let_5))) (let ((_let_12 (not _let_9))) (let ((_let_13 (not _let_10))) (let ((_let_14 (or _let_13 _let_12 _let_8))) (let ((_let_15 (not _let_8))) (let ((_let_16 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (= X1 (tptp.join X0 X1))) (not (= X1 (tptp.join X2 X1))) (= X1 (tptp.join (tptp.join X0 X2) X1)))))) (let ((_let_17 (not _let_14))) (let ((_let_18 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_19 (or))) (let ((_let_20 (not _let_16))) (let ((_let_21 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_18) :args (_let_20))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_16))) (REFL :args (_let_17)) :args _let_19)) _let_18 :args (_let_17 true _let_16)))) (let ((_let_22 (REFL :args (_let_14)))) (let ((_let_23 (and _let_10 _let_9 _let_15))) (let ((_let_24 (_let_10 _let_9 _let_15))) (let ((_let_25 (ASSUME :args (_let_15)))) (let ((_let_26 (ASSUME :args (_let_10)))) (let ((_let_27 (ASSUME :args (_let_9)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_7 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((tptp.join X0 (tptp.join X1 X2))))) :args _let_6))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_23)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_26 _let_27 _let_25) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (SYMM _let_27) :args (APPLY_UF tptp.join)) (SYMM _let_26)) (REFL :args (_let_4)) :args (=)) (FALSE_INTRO _let_25)) :args ((= _let_5 false)))) :args _let_24)) :args _let_24)) :args (true _let_23)) (CONG (REFL :args (_let_13)) (REFL :args (_let_12)) (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_8))) (REFL :args (_let_11)) :args _let_19)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 0)) (CONG _let_22 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_10))) :args _let_19)) :args ((or _let_10 _let_14))) _let_21 :args (_let_10 true _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 1)) (CONG _let_22 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_9))) :args _let_19)) :args ((or _let_9 _let_14))) _let_21 :args (_let_9 true _let_14)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_14 2)) _let_21 :args (_let_15 true _let_14)) :args (_let_11 false _let_10 false _let_9 true _let_8)) _let_7 :args (false true _let_5 false _let_2)) :args ((forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.join X0 X1) (tptp.join X1 X0))) _let_2 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.complement X0))) (= X0 (tptp.join (tptp.complement (tptp.join _let_1 (tptp.complement X1))) (tptp.complement (tptp.join _let_1 X1)))))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.meet X0 X1) (tptp.complement (tptp.join (tptp.complement X0) (tptp.complement X1))))) (forall ((X0 $$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))))))))))))))))))))))))))))))
% 0.21/0.52 )
% 0.21/0.52 % SZS output end Proof for REL049+1
% 0.21/0.52 % cvc5---1.0.5 exiting
% 0.21/0.52 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------