TSTP Solution File: SYN065+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN065+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n007.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 02:01:14 EDT 2023
% Result : Theorem 0.22s 0.56s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN065+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n007.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 21:42:56 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.22/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.56 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.oFeohiJmvo/cvc5---1.0.5_2129.p...
% 0.22/0.56 ------- get file name : TPTP file name is SYN065+1
% 0.22/0.56 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_2129.smt2...
% 0.22/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.56 % SZS status Theorem for SYN065+1
% 0.22/0.56 % SZS output start Proof for SYN065+1
% 0.22/0.56 (
% 0.22/0.56 (let ((_let_1 (not (forall ((X $$unsorted)) (exists ((Y $$unsorted)) (tptp.big_h X Y)))))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted)) (=> (or (tptp.big_f X Y) (tptp.big_g X Y)) (forall ((Z $$unsorted)) (=> (or (tptp.big_f Y Z) (tptp.big_g Y Z)) (tptp.big_h X Z))))))) (let ((_let_3 (forall ((X $$unsorted)) (exists ((Y $$unsorted)) (tptp.big_f X Y))))) (let ((_let_4 (forall ((Y $$unsorted)) (not (tptp.big_h SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y))))) (let ((_let_5 (tptp.big_h SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_6 (forall ((X $$unsorted)) (not (forall ((Y $$unsorted)) (not (tptp.big_h X Y))))))) (let ((_let_7 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_8 (or))) (let ((_let_9 (_let_4))) (let ((_let_10 (not _let_6))) (let ((_let_11 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_12 (not _let_11))) (let ((_let_13 (and _let_12 (not (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))))) (let ((_let_14 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_15 (not _let_14))) (let ((_let_16 (and _let_15 (not (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))))) (let ((_let_17 (or _let_16 _let_13 _let_5))) (let ((_let_18 (forall ((X $$unsorted) (Y $$unsorted) (BOUND_VARIABLE_639 $$unsorted)) (or (and (not (tptp.big_f X Y)) (not (tptp.big_g X Y))) (and (not (tptp.big_f Y BOUND_VARIABLE_639)) (not (tptp.big_g Y BOUND_VARIABLE_639))) (tptp.big_h X BOUND_VARIABLE_639))))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (not _let_13))) (let ((_let_21 (forall ((Y $$unsorted)) (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 Y))))) (let ((_let_22 (forall ((X $$unsorted)) (not (forall ((Y $$unsorted)) (not (tptp.big_f X Y))))))) (let ((_let_23 (not _let_21))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (_let_22))) (let ((_let_26 (_let_23))) (let ((_let_27 (not _let_16))) (let ((_let_28 (forall ((Y $$unsorted)) (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y))))) (let ((_let_29 (not _let_28))) (let ((_let_30 (_let_29))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_9) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_h SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y) false))))) :args _let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_16 _let_13 _let_5 (not _let_17)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_16 0)) :args ((or _let_15 _let_27))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_30)) :args _let_30) (REWRITE :args ((=> _let_29 (not _let_15)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_28))) (REFL :args (_let_14)) :args _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_25)) _let_24 :args (_let_29 false _let_22)) :args (_let_14 true _let_28)) :args (_let_27 false _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_13 0)) :args ((or _let_12 _let_20))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_26)) :args _let_26) (REWRITE :args ((=> _let_23 (not _let_12)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_21))) (REFL :args (_let_11)) :args _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_ENUM)) :args _let_25)) _let_24 :args (_let_23 false _let_22)) :args (_let_11 true _let_21)) :args (_let_20 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_E_MATCHING ((tptp.big_f X Y) (tptp.big_f Y BOUND_VARIABLE_639)))) :args (_let_18))) _let_19 :args (_let_17 false _let_18)) :args (_let_5 true _let_16 true _let_13 false _let_17)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_7) :args (_let_10)) (REWRITE :args ((=> _let_10 (not (not _let_4))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_6))) (REFL :args _let_9) :args _let_8)) _let_7 :args (_let_4 true _let_6)) :args (false false _let_5 false _let_4)) :args (_let_3 (forall ((X $$unsorted)) (exists ((Y $$unsorted)) (tptp.big_g X Y))) _let_2 _let_1 true)))))))))))))))))))))))))))))))))
% 0.22/0.57 )
% 0.22/0.57 % SZS output end Proof for SYN065+1
% 0.22/0.57 % cvc5---1.0.5 exiting
% 0.22/0.57 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------