TSTP Solution File: SYN352+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN352+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n024.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 02:02:41 EDT 2023
% Result : Theorem 0.20s 0.54s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYN352+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 18:04:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.54 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.3kTujqQ6cs/cvc5---1.0.5_31244.p...
% 0.20/0.54 ------- get file name : TPTP file name is SYN352+1
% 0.20/0.54 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_31244.smt2...
% 0.20/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.54 % SZS status Theorem for SYN352+1
% 0.20/0.54 % SZS output start Proof for SYN352+1
% 0.20/0.54 (
% 0.20/0.54 (let ((_let_1 (not (forall ((X1 $$unsorted) (X2 $$unsorted)) (exists ((Y1 $$unsorted) (Y2 $$unsorted)) (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_f Y2 Z))) (let ((_let_2 (tptp.big_f Y1 Z))) (let ((_let_3 (tptp.big_f Y1 Y2))) (let ((_let_4 (tptp.big_f X2 Z))) (=> (tptp.big_f X1 X2) (=> (=> _let_3 (or _let_4 _let_1)) (=> (=> (=> _let_3 (= _let_4 _let_2)) (tptp.big_f Z Z)) (and _let_3 (= _let_2 _let_1))))))))))))))) (let ((_let_2 (forall ((BOUND_VARIABLE_637 $$unsorted) (BOUND_VARIABLE_639 $$unsorted)) (not (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_f BOUND_VARIABLE_637 Z))) (let ((_let_2 (tptp.big_f BOUND_VARIABLE_639 Z))) (let ((_let_3 (tptp.big_f BOUND_VARIABLE_637 BOUND_VARIABLE_639))) (let ((_let_4 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Z))) (or (and _let_3 (not _let_4) (not _let_2)) (and (or (not _let_3) (= _let_1 _let_4)) (not (tptp.big_f Z Z))) (and _let_3 (= _let_2 _let_1)))))))))))) (let ((_let_3 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_4 (or _let_3 (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 Z))) (let ((_let_2 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Z))) (let ((_let_3 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (or (and _let_3 (not _let_2) (not _let_1)) (and (or (not _let_3) (= _let_2 _let_1)) (not (tptp.big_f Z Z))))))))))) (let ((_let_5 (not _let_2))) (let ((_let_6 (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_7 (or _let_6 _let_5))) (let ((_let_8 (forall ((X1 $$unsorted) (X2 $$unsorted)) (or (not (tptp.big_f X1 X2)) (not (forall ((BOUND_VARIABLE_637 $$unsorted) (BOUND_VARIABLE_639 $$unsorted)) (not (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_f BOUND_VARIABLE_637 Z))) (let ((_let_2 (tptp.big_f BOUND_VARIABLE_639 Z))) (let ((_let_3 (tptp.big_f BOUND_VARIABLE_637 BOUND_VARIABLE_639))) (let ((_let_4 (tptp.big_f X2 Z))) (or (and _let_3 (not _let_4) (not _let_2)) (and (or (not _let_3) (= _let_4 _let_1)) (not (tptp.big_f Z Z))) (and _let_3 (= _let_2 _let_1))))))))))))))) (let ((_let_9 (not _let_7))) (let ((_let_10 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_11 (or))) (let ((_let_12 (not _let_8))) (let ((_let_13 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_7 1)) (CONG (REFL :args (_let_7)) (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_2))) :args _let_11)) :args ((or _let_2 _let_7))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_10) :args (_let_12)) (REWRITE :args ((=> _let_12 (not (or _let_6 (not (forall ((BOUND_VARIABLE_637 $$unsorted) (BOUND_VARIABLE_639 $$unsorted)) (not (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_f BOUND_VARIABLE_637 Z))) (let ((_let_2 (tptp.big_f BOUND_VARIABLE_639 Z))) (let ((_let_3 (tptp.big_f BOUND_VARIABLE_637 BOUND_VARIABLE_639))) (let ((_let_4 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Z))) (or (and _let_3 (not _let_4) (not _let_2)) (and (or (not _let_3) (= _let_4 _let_1)) (not (tptp.big_f Z Z))) (and _let_3 (= _let_2 _let_1)))))))))))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_8))) (REFL :args (_let_9)) :args _let_11)) _let_10 :args (_let_9 true _let_8)) :args (_let_2 true _let_7)))) (let ((_let_14 (not _let_3))) (let ((_let_15 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_16 (or (and _let_15 (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) _let_14))) (let ((_let_17 (forall ((Z $$unsorted)) (or (and (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Z))) (not (tptp.big_f Z Z)))))) (let ((_let_18 (not _let_16))) (let ((_let_19 (or _let_15 _let_17))) (let ((_let_20 (not _let_17))) (let ((_let_21 (_let_2))) (let ((_let_22 (ASSUME :args _let_21))) (let ((_let_23 (_let_20))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_22 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_ENUM)) :args _let_21))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_4 0)) :args ((or _let_14 _let_4))) (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_14) _let_3))) :args _let_11)) :args ((or _let_3 _let_16))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_23)) :args _let_23)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_17))) (REFL :args (_let_18)) :args _let_11)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_19 1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_22 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_21))) _let_13 :args ((not _let_19) false _let_2)) :args (_let_20 true _let_19)) :args (_let_18 true _let_17)) :args (_let_3 true _let_16)) :args (_let_4 false _let_3)) _let_13 :args (false false _let_4 false _let_2)) :args (_let_1 true))))))))))))))))))))))))))
% 0.20/0.55 )
% 0.20/0.55 % SZS output end Proof for SYN352+1
% 0.20/0.55 % cvc5---1.0.5 exiting
% 0.20/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------