TSTP Solution File: SYN068+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN068+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n031.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 02:01:16 EDT 2023
% Result : Theorem 0.22s 0.53s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SYN068+1 : TPTP v8.1.2. Released v2.0.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n031.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 : Sat Aug 26 20:18:38 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.53 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.F9FcIFY7US/cvc5---1.0.5_15424.p...
% 0.22/0.53 ------- get file name : TPTP file name is SYN068+1
% 0.22/0.53 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_15424.smt2...
% 0.22/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.53 % SZS status Theorem for SYN068+1
% 0.22/0.53 % SZS output start Proof for SYN068+1
% 0.22/0.53 (
% 0.22/0.53 (let ((_let_1 (not (exists ((X $$unsorted)) (and (tptp.big_j X) (not (tptp.big_f X))))))) (let ((_let_2 (exists ((X $$unsorted)) (and (tptp.big_j X) (forall ((Y $$unsorted)) (=> (tptp.big_g Y) (tptp.big_h X Y))))))) (let ((_let_3 (forall ((X $$unsorted)) (=> (tptp.big_f X) (and (exists ((Y $$unsorted)) (and (tptp.big_g Y) (tptp.big_h X Y))) (exists ((Y1 $$unsorted)) (and (tptp.big_g Y1) (not (tptp.big_h X Y1))))))))) (let ((_let_4 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_5 (forall ((Y1 $$unsorted)) (or (not (tptp.big_g Y1)) (tptp.big_h SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y1))))) (let ((_let_6 (not _let_5))) (let ((_let_7 (and (not (forall ((Y $$unsorted)) (or (not (tptp.big_g Y)) (not (tptp.big_h SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y))))) _let_6))) (let ((_let_8 (not _let_4))) (let ((_let_9 (or _let_8 _let_7))) (let ((_let_10 (tptp.big_j SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_11 (not _let_10))) (let ((_let_12 (or _let_11 _let_4))) (let ((_let_13 (forall ((X $$unsorted)) (or (not (tptp.big_j X)) (tptp.big_f X))))) (let ((_let_14 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_15 (forall ((Y $$unsorted)) (or (not (tptp.big_g Y)) (tptp.big_h SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y))))) (let ((_let_16 (not _let_15))) (let ((_let_17 (or _let_11 _let_16))) (let ((_let_18 (forall ((X $$unsorted)) (or (not (tptp.big_j X)) (not (forall ((Y $$unsorted)) (or (not (tptp.big_g Y)) (tptp.big_h X Y)))))))) (let ((_let_19 (not _let_17))) (let ((_let_20 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_21 (or))) (let ((_let_22 (not _let_18))) (let ((_let_23 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_20) :args (_let_22))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_18))) (REFL :args (_let_19)) :args _let_21)) _let_20 :args (_let_19 true _let_18)))) (let ((_let_24 (REFL :args (_let_17)))) (let ((_let_25 (forall ((X $$unsorted)) (or (not (tptp.big_f X)) (and (not (forall ((Y $$unsorted)) (or (not (tptp.big_g Y)) (not (tptp.big_h X Y))))) (not (forall ((Y1 $$unsorted)) (or (not (tptp.big_g Y1)) (tptp.big_h X Y1))))))))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (not _let_7))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_9)) :args ((or _let_8 _let_7 (not _let_9)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_7 1)) :args ((or _let_6 _let_27))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_15 (= Y Y1)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_17 1)) (CONG _let_24 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_21)) :args ((or _let_15 _let_17))) _let_23 :args (_let_15 true _let_17)) :args (_let_5 false _let_15)) :args (_let_27 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_f X) false))))) :args (_let_25))) _let_26 :args (_let_9 false _let_25)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_12)) :args ((or _let_11 _let_4 (not _let_12)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_17 0)) (CONG _let_24 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) :args _let_21)) :args ((or _let_10 _let_17))) _let_23 :args (_let_10 true _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_j X) false))))) :args (_let_13))) _let_14 :args (_let_12 false _let_13)) :args (_let_4 false _let_10 false _let_12)) :args (false true _let_7 false _let_9 false _let_4)) :args (_let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))
% 0.22/0.53 )
% 0.22/0.53 % SZS output end Proof for SYN068+1
% 0.22/0.54 % cvc5---1.0.5 exiting
% 0.22/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------