TSTP Solution File: SYN350+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN350+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n032.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 02:02:40 EDT 2023
% Result : Theorem 0.12s 0.41s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SYN350+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.09 % Command : do_cvc5 %s %d
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Sat Aug 26 16:54:29 EDT 2023
% 0.09/0.28 % CPUTime :
% 0.12/0.37 %----Proving TF0_NAR, FOF, or CNF
% 0.12/0.41 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.bUKDDnWaQS/cvc5---1.0.5_20226.p...
% 0.12/0.41 ------- get file name : TPTP file name is SYN350+1
% 0.12/0.41 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_20226.smt2...
% 0.12/0.41 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.12/0.41 % SZS status Theorem for SYN350+1
% 0.12/0.41 % SZS output start Proof for SYN350+1
% 0.12/0.41 (
% 0.12/0.41 (let ((_let_1 (not (forall ((X $$unsorted)) (exists ((Y1 $$unsorted) (Y2 $$unsorted)) (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_f X Z))) (=> (= _let_1 (tptp.big_f Z X)) (= _let_1 (and (tptp.big_f Y2 Z) (=> (tptp.big_f Y1 Z) (tptp.big_f Y1 Y2)))))))))))) (let ((_let_2 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_3 (or (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18)) _let_2))) (let ((_let_4 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_5 (and _let_4 _let_3))) (let ((_let_6 (= _let_4 _let_5))) (let ((_let_7 (not _let_4))) (let ((_let_8 (or (= (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_7) _let_6))) (let ((_let_9 (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Z))) (or (= (tptp.big_f Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (not _let_1)) (= _let_1 (and _let_1 (or (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Z)) (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))))))) (let ((_let_10 (not _let_8))) (let ((_let_11 (forall ((Y1 $$unsorted) (Y2 $$unsorted)) (not (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Z))) (or (= (tptp.big_f Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (not _let_1)) (= (and (tptp.big_f Y2 Z) (or (not (tptp.big_f Y1 Z)) (tptp.big_f Y1 Y2))) _let_1)))))))) (let ((_let_12 (not _let_9))) (let ((_let_13 (forall ((X $$unsorted)) (not (forall ((Y1 $$unsorted) (Y2 $$unsorted)) (not (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_f X Z))) (or (= (tptp.big_f Z X) (not _let_1)) (= _let_1 (and (tptp.big_f Y2 Z) (or (not (tptp.big_f Y1 Z)) (tptp.big_f Y1 Y2))))))))))))) (let ((_let_14 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_15 (or))) (let ((_let_16 (_let_11))) (let ((_let_17 (not _let_13))) (let ((_let_18 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_14) :args (_let_17)) (REWRITE :args ((=> _let_17 (not (not (forall ((Y1 $$unsorted) (Y2 $$unsorted)) (not (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Z))) (or (= (tptp.big_f Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (not _let_1)) (= _let_1 (and (tptp.big_f Y2 Z) (or (not (tptp.big_f Y1 Z)) (tptp.big_f Y1 Y2)))))))))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_13))) (REFL :args _let_16) :args _let_15)) _let_14 :args (_let_11 true _let_13)))) (let ((_let_19 (ASSUME :args _let_16))) (let ((_let_20 (_let_12))) (let ((_let_21 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_8 1)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_20)) :args _let_20)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_9))) (REFL :args (_let_10)) :args _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_19 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_16))) _let_18 :args (_let_12 false _let_11)) :args (_let_10 true _let_9)) :args ((not _let_6) true _let_8)))) (let ((_let_22 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_23 (not _let_22))) (let ((_let_24 (= _let_2 _let_23))) (let ((_let_25 (and _let_22 (or _let_23 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_26 (= _let_22 _let_25))) (let ((_let_27 (or _let_24 _let_26))) (let ((_let_28 (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Z))) (let ((_let_2 (not _let_1))) (or (= (tptp.big_f Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_2) (= _let_1 (and _let_1 (or _let_2 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))))))) (let ((_let_29 (not _let_27))) (let ((_let_30 (not _let_28))) (let ((_let_31 (_let_30))) (let ((_let_32 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_31)) :args _let_31)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_28))) (REFL :args (_let_29)) :args _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_19 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_16))) _let_18 :args (_let_30 false _let_11)) :args (_let_29 true _let_28)))) (let ((_let_33 (not _let_5))) (let ((_let_34 (_let_6))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG2 :args _let_34) :args ((or _let_7 _let_6 _let_33))) _let_21 (REORDERING (CNF_AND_NEG :args (_let_5)) :args ((or _let_7 _let_5 (not _let_3)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_3 1)) :args ((or (not _let_2) _let_3))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args (_let_24)) :args ((or _let_2 _let_23 _let_24))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args (_let_26)) :args ((or _let_22 _let_25 _let_26))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_27 1)) _let_32 :args ((not _let_26) true _let_27)) (REORDERING (CNF_AND_POS :args (_let_25 0)) :args ((or _let_22 (not _let_25)))) :args (_let_22 true _let_26 true _let_25)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_27 0)) _let_32 :args ((not _let_24) true _let_27)) :args (_let_2 false _let_22 true _let_24)) :args (_let_3 false _let_2)) :args (_let_7 true _let_6 false _let_5 false _let_3)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_34) :args ((or _let_4 _let_5 _let_6))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_5 0)) :args ((or _let_4 _let_33))) _let_35 :args (_let_33 true _let_4)) _let_35 _let_21 :args (false true _let_5 true _let_4 true _let_6)) :args (_let_1 true))))))))))))))))))))))))))))))))))))))
% 0.12/0.42 )
% 0.12/0.42 % SZS output end Proof for SYN350+1
% 0.12/0.42 % cvc5---1.0.5 exiting
% 0.12/0.42 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------