TSTP Solution File: SYN347+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN347+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n008.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 02:02:39 EDT 2023
% Result : Theorem 0.18s 0.51s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN347+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.12 % Command : do_cvc5 %s %d
% 0.15/0.33 % Computer : n008.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Sat Aug 26 19:02:32 EDT 2023
% 0.15/0.33 % CPUTime :
% 0.18/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.18/0.51 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.kQioePfH6l/cvc5---1.0.5_30595.p...
% 0.18/0.51 ------- get file name : TPTP file name is SYN347+1
% 0.18/0.51 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_30595.smt2...
% 0.18/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.18/0.51 % SZS status Theorem for SYN347+1
% 0.18/0.51 % SZS output start Proof for SYN347+1
% 0.18/0.51 (
% 0.18/0.51 (let ((_let_1 (not (forall ((Z1 $$unsorted) (Z2 $$unsorted)) (exists ((X1 $$unsorted) (X2 $$unsorted)) (forall ((Y $$unsorted)) (or (= (= (tptp.big_f X1 Y) (tptp.big_f X2 Y)) (tptp.big_f Z1 Z2)) (= (tptp.big_f Z1 Y) (tptp.big_f Z2 Y))))))))) (let ((_let_2 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_3 (= (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (let ((_let_4 (= _let_2 _let_3))) (let ((_let_5 (or _let_2 (forall ((Y $$unsorted)) (= (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y) (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Y)))))) (let ((_let_6 (forall ((X1 $$unsorted) (X2 $$unsorted)) (not (forall ((Y $$unsorted)) (or (= (= (tptp.big_f X1 Y) (tptp.big_f X2 Y)) (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (= (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y) (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Y)))))))) (let ((_let_7 (forall ((Z1 $$unsorted) (Z2 $$unsorted)) (not (forall ((X1 $$unsorted) (X2 $$unsorted)) (not (forall ((Y $$unsorted)) (or (= (= (tptp.big_f X1 Y) (tptp.big_f X2 Y)) (tptp.big_f Z1 Z2)) (= (tptp.big_f Z1 Y) (tptp.big_f Z2 Y)))))))))) (let ((_let_8 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_9 (or))) (let ((_let_10 (_let_6))) (let ((_let_11 (not _let_7))) (let ((_let_12 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_8) :args (_let_11)) (REWRITE :args ((=> _let_11 (not (not _let_6))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_7))) (REFL :args _let_10) :args _let_9)) _let_8 :args (_let_6 true _let_7)))) (let ((_let_13 (ASSUME :args _let_10))) (let ((_let_14 (or _let_4 _let_3))) (let ((_let_15 (forall ((Y $$unsorted)) (let ((_let_1 (= (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y) (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Y)))) (or (= (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_1) _let_1))))) (let ((_let_16 (not _let_14))) (let ((_let_17 (not _let_15))) (let ((_let_18 (_let_17))) (let ((_let_19 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_18)) :args _let_18)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_15))) (REFL :args (_let_16)) :args _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_13 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_10))) _let_12 :args (_let_17 false _let_6)) :args (_let_16 true _let_15)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args (_let_4)) :args ((or _let_2 _let_3 _let_4))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_14 1)) _let_19 :args ((not _let_3) true _let_14)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_14 0)) _let_19 :args ((not _let_4) true _let_14)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_5 0)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_13 :args (e_$$unsorted_4 e_$$unsorted_4 QUANTIFIERS_INST_ENUM)) :args _let_10))) _let_12 :args ((not _let_5) false _let_6)) :args ((not _let_2) true _let_5)) :args (false true _let_3 true _let_4 true _let_2)) :args (_let_1 true))))))))))))))))))))))
% 0.18/0.51 )
% 0.18/0.51 % SZS output end Proof for SYN347+1
% 0.18/0.51 % cvc5---1.0.5 exiting
% 0.18/0.51 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------