TSTP Solution File: SYN082+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN082+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n018.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 : Fri Sep 1 02:01:23 EDT 2023
% Result : Theorem 0.21s 0.54s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN082+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n018.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 18:56:15 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.54 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.ERDC4Rv10G/cvc5---1.0.5_3930.p...
% 0.21/0.54 ------- get file name : TPTP file name is SYN082+1
% 0.21/0.54 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_3930.smt2...
% 0.21/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.54 % SZS status Theorem for SYN082+1
% 0.21/0.54 % SZS output start Proof for SYN082+1
% 0.21/0.54 (
% 0.21/0.54 (let ((_let_1 (not (forall ((X $$unsorted)) (= (tptp.big_f X (tptp.f X)) (exists ((Y $$unsorted)) (and (forall ((Z $$unsorted)) (=> (tptp.big_f Z Y) (tptp.big_f Z (tptp.f X)))) (tptp.big_f X Y)))))))) (let ((_let_2 (tptp.f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_3 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_2))) (let ((_let_4 (forall ((Y $$unsorted)) (or (not (forall ((Z $$unsorted)) (or (not (tptp.big_f Z Y)) (tptp.big_f Z (tptp.f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)))))) (let ((_let_5 (not _let_4))) (let ((_let_6 (= _let_3 _let_5))) (let ((_let_7 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_8 (not _let_7))) (let ((_let_9 (forall ((Z $$unsorted)) (or (not (tptp.big_f Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.big_f Z (tptp.f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_10 (not _let_9))) (let ((_let_11 (or _let_10 _let_8))) (let ((_let_12 (or _let_8 _let_3))) (let ((_let_13 (forall ((X $$unsorted)) (= (tptp.big_f X (tptp.f X)) (not (forall ((Y $$unsorted)) (or (not (forall ((Z $$unsorted)) (or (not (tptp.big_f Z Y)) (tptp.big_f Z (tptp.f X))))) (not (tptp.big_f X Y))))))))) (let ((_let_14 (not _let_6))) (let ((_let_15 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_16 (or))) (let ((_let_17 (not _let_13))) (let ((_let_18 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_15) :args (_let_17))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_13))) (REFL :args (_let_14)) :args _let_16)) _let_15 :args (_let_14 true _let_13)))) (let ((_let_19 (_let_6))) (let ((_let_20 (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))))) (let ((_let_21 (_let_5))) (let ((_let_22 (REFL :args (_let_11)))) (let ((_let_23 (_let_9))) (let ((_let_24 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_23) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_f Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) false))))) :args _let_23)) (REORDERING (CNF_OR_POS :args (_let_12)) :args ((or _let_3 _let_8 (not _let_12)))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_11 1)) (CONG _let_22 (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_7))) :args _let_16)) :args ((or _let_7 _let_11))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_11 0)) (CONG _let_22 (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))) :args _let_16)) :args ((or _let_9 _let_11))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_21)) :args _let_21)) (CONG _let_20 (REFL :args ((not _let_11))) :args _let_16)) (REORDERING (CNF_EQUIV_NEG1 :args _let_19) :args ((or _let_3 _let_5 _let_6))) _let_18 :args (_let_3 true _let_12 false _let_7 false _let_9 true _let_11 true _let_4 true _let_6)))) (let ((_let_25 (not _let_3))) (let ((_let_26 (_let_4))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_26) :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y) false))))) :args _let_26))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_NEG2 :args _let_19) (CONG (REFL :args _let_19) (REFL :args (_let_25)) _let_20 :args _let_16)) :args ((or _let_4 _let_6 _let_25))) _let_18 _let_24 :args (_let_4 true _let_6 false _let_3)) _let_24 :args (false false _let_4 false _let_3)) :args (_let_1 true)))))))))))))))))))))))))))))
% 0.21/0.54 )
% 0.21/0.54 % SZS output end Proof for SYN082+1
% 0.21/0.54 % cvc5---1.0.5 exiting
% 0.21/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------