TSTP Solution File: SYN339+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN339+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : Fri Sep 1 02:02:34 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 : SYN339+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n016.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 : Sat Aug 26 17:59:27 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.IDOo6hNfSk/cvc5---1.0.5_9107.p...
% 0.21/0.51 ------- get file name : TPTP file name is SYN339+1
% 0.21/0.51 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_9107.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 SYN339+1
% 0.21/0.51 % SZS output start Proof for SYN339+1
% 0.21/0.51 (
% 0.21/0.51 (let ((_let_1 (not (exists ((X $$unsorted)) (forall ((Y $$unsorted)) (exists ((Z $$unsorted)) (=> (tptp.big_f X Y Z) (tptp.big_f Y Z Z)))))))) (let ((_let_2 (forall ((BOUND_VARIABLE_594 $$unsorted)) (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 BOUND_VARIABLE_594)))) (let ((_let_3 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_4 (not _let_2))) (let ((_let_5 (or _let_4 (not (forall ((BOUND_VARIABLE_599 $$unsorted)) (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 BOUND_VARIABLE_599 BOUND_VARIABLE_599))))))) (let ((_let_6 (forall ((Y $$unsorted)) (or (not (forall ((BOUND_VARIABLE_594 $$unsorted)) (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Y BOUND_VARIABLE_594))) (not (forall ((BOUND_VARIABLE_599 $$unsorted)) (not (tptp.big_f Y BOUND_VARIABLE_599 BOUND_VARIABLE_599)))))))) (let ((_let_7 (not _let_5))) (let ((_let_8 (forall ((X $$unsorted)) (not (forall ((Y $$unsorted)) (or (not (forall ((BOUND_VARIABLE_594 $$unsorted)) (tptp.big_f X Y BOUND_VARIABLE_594))) (not (forall ((BOUND_VARIABLE_599 $$unsorted)) (not (tptp.big_f Y BOUND_VARIABLE_599 BOUND_VARIABLE_599)))))))))) (let ((_let_9 (not _let_6))) (let ((_let_10 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_11 (_let_8))) (let ((_let_12 (or))) (let ((_let_13 (_let_9))) (let ((_let_14 (forall ((BOUND_VARIABLE_599 $$unsorted)) (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 BOUND_VARIABLE_599 BOUND_VARIABLE_599))))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or (not (forall ((BOUND_VARIABLE_594 $$unsorted)) (tptp.big_f e_$$unsorted_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 BOUND_VARIABLE_594))) _let_15))) (let ((_let_17 (forall ((Y $$unsorted)) (or (not (forall ((BOUND_VARIABLE_594 $$unsorted)) (tptp.big_f e_$$unsorted_2 Y BOUND_VARIABLE_594))) (not (forall ((BOUND_VARIABLE_599 $$unsorted)) (not (tptp.big_f Y BOUND_VARIABLE_599 BOUND_VARIABLE_599)))))))) (let ((_let_18 (not _let_16))) (let ((_let_19 (not _let_17))) (let ((_let_20 (_let_19))) (let ((_let_21 (_let_14))) (let ((_let_22 (_let_2))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_22) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 BOUND_VARIABLE_594) true))))) :args _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_21) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_ENUM)) :args _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_16 1)) (CONG (REFL :args (_let_16)) (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_12)) :args ((or _let_14 _let_16))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_20)) :args _let_20)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_17))) (REFL :args (_let_18)) :args _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_10 :args (e_$$unsorted_2 QUANTIFIERS_INST_ENUM)) :args _let_11)) _let_10 :args (_let_19 false _let_8)) :args (_let_18 true _let_17)) :args (_let_14 true _let_16)) :args ((not _let_3) false _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_5 0)) (CONG (REFL :args (_let_5)) (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_2))) :args _let_12)) :args ((or _let_2 _let_5))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_13)) :args _let_13)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_6))) (REFL :args (_let_7)) :args _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_10 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_ENUM)) :args _let_11)) _let_10 :args (_let_9 false _let_8)) :args (_let_7 true _let_6)) :args (_let_2 true _let_5)) :args (false true _let_3 false _let_2)) :args (_let_1 true)))))))))))))))))))))))))
% 0.21/0.51 )
% 0.21/0.51 % SZS output end Proof for SYN339+1
% 0.21/0.51 % cvc5---1.0.5 exiting
% 0.21/0.52 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------