TSTP Solution File: SYN728+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN728+1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n010.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 02:04:48 EDT 2023

% Result   : Theorem 10.31s 10.54s
% Output   : Proof 10.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN728+1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.14/0.34  % Computer : n010.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
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat Aug 26 21:21:34 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 10.31/10.54  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.P68dv6jVkL/cvc5---1.0.5_12015.p...
% 10.31/10.54  ------- get file name : TPTP file name is SYN728+1
% 10.31/10.54  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_12015.smt2...
% 10.31/10.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.31/10.54  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.31/10.54  % SZS status Theorem for SYN728+1
% 10.31/10.54  % SZS output start Proof for SYN728+1
% 10.31/10.54  (
% 10.31/10.54  (let ((_let_1 (not (=> (and (forall ((X $$unsorted)) (=> (exists ((Y $$unsorted)) (tptp.p X Y)) (forall ((Z $$unsorted)) (tptp.p Z Z)))) (forall ((R $$unsorted)) (exists ((S $$unsorted)) (or (tptp.p R S) (and (tptp.m R) (tptp.q (tptp.f R S)))))) (forall ((W $$unsorted)) (=> (tptp.q W) (not (tptp.m (tptp.g W)))))) (forall ((U $$unsorted)) (exists ((V $$unsorted)) (and (tptp.p (tptp.g U) V) (tptp.p U U)))))))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted)) (not (tptp.p X Y))))) (let ((_let_3 (tptp.f e_$$unsorted_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_4 (tptp.g _let_3))) (let ((_let_5 (tptp.p _let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_6 (forall ((Z $$unsorted)) (tptp.p Z Z)))) (let ((_let_7 (forall ((BOUND_VARIABLE_693 $$unsorted)) (tptp.p BOUND_VARIABLE_693 BOUND_VARIABLE_693)))) (let ((_let_8 (tptp.g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (forall ((BOUND_VARIABLE_698 $$unsorted)) (not (forall ((V $$unsorted)) (not (tptp.p (tptp.g BOUND_VARIABLE_698) V))))))) (let ((_let_10 (forall ((V $$unsorted)) (not (tptp.p (tptp.g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) V))))) (let ((_let_11 (not _let_6))) (let ((_let_12 (_let_6))) (let ((_let_13 (_let_8 QUANTIFIERS_INST_ENUM))) (let ((_let_14 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_15 (_let_10))) (let ((_let_16 (or))) (let ((_let_17 (not _let_9))) (let ((_let_18 (_let_17))) (let ((_let_19 (NOT_IMPLIES_ELIM1 _let_14))) (let ((_let_20 (MACRO_RESOLUTION_TRUST (AND_ELIM _let_19 :args (0)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_18)) :args _let_18) (REWRITE :args ((=> _let_17 (not (not _let_10))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_9))) (REFL :args _let_15) :args _let_16)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_15) :args _let_13) :args _let_15)) (NOT_AND (NOT_IMPLIES_ELIM2 _let_14)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_12) :args _let_13) :args _let_12)) (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_6 (= Z BOUND_VARIABLE_693)))) :args ((or _let_7 _let_11))) :args (_let_11 true _let_10 true _let_9 false (tptp.p _let_8 _let_8) false _let_7)) :args (_let_2 true _let_6)))) (let ((_let_21 (forall ((BOUND_VARIABLE_649 $$unsorted)) (not (tptp.p (tptp.g (tptp.f e_$$unsorted_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)) BOUND_VARIABLE_649))))) (let ((_let_22 (tptp.m _let_4))) (let ((_let_23 (and _let_22 (not (forall ((BOUND_VARIABLE_655 $$unsorted)) (not (tptp.q (tptp.f (tptp.g (tptp.f e_$$unsorted_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)) BOUND_VARIABLE_655)))))))) (let ((_let_24 (not _let_21))) (let ((_let_25 (or _let_24 _let_23))) (let ((_let_26 (forall ((R $$unsorted)) (or (not (forall ((BOUND_VARIABLE_649 $$unsorted)) (not (tptp.p R BOUND_VARIABLE_649)))) (and (tptp.m R) (not (forall ((BOUND_VARIABLE_655 $$unsorted)) (not (tptp.q (tptp.f R BOUND_VARIABLE_655)))))))))) (let ((_let_27 (AND_ELIM _let_19 :args (1)))) (let ((_let_28 (_let_26))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 (not _let_23))) (let ((_let_31 (not _let_22))) (let ((_let_32 (tptp.q _let_3))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_31))) (let ((_let_35 (forall ((W $$unsorted)) (or (not (tptp.q W)) (not (tptp.m (tptp.g W))))))) (let ((_let_36 (_let_35))) (let ((_let_37 (forall ((BOUND_VARIABLE_655 $$unsorted)) (not (tptp.q (tptp.f e_$$unsorted_5 BOUND_VARIABLE_655)))))) (let ((_let_38 (not _let_37))) (let ((_let_39 (and (tptp.m e_$$unsorted_5) _let_38))) (let ((_let_40 (forall ((BOUND_VARIABLE_649 $$unsorted)) (not (tptp.p e_$$unsorted_5 BOUND_VARIABLE_649))))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_39))) (let ((_let_43 (tptp.p e_$$unsorted_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_44 (not _let_43))) (let ((_let_45 (_let_2))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 (_let_41))) (let ((_let_48 (_let_38))) (let ((_let_49 (_let_24))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_45)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_49)) :args _let_49) (REWRITE :args ((=> _let_24 (not (not _let_5))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_21))) (REFL :args (_let_5)) :args _let_16)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_24 _let_23 (not _let_25)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_23 0)) :args ((or _let_22 _let_30))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_33 _let_31 (not _let_34)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_48)) :args _let_48) (REWRITE :args ((=> _let_38 (not _let_33)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) (REFL :args (_let_32)) :args _let_16)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_39 1)) :args ((or _let_38 (not _let_39)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_41 _let_39 (not _let_42)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_47)) :args _let_47) (REWRITE :args ((=> _let_41 (not _let_44)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) (REFL :args (_let_43)) :args _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (e_$$unsorted_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_45)) _let_20 :args (_let_44 false _let_2)) :args (_let_40 true _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (e_$$unsorted_5 QUANTIFIERS_INST_ENUM)) :args _let_28)) _let_27 :args (_let_42 false _let_26)) :args (_let_39 false _let_40 false _let_42)) :args (_let_38 false _let_39)) :args (_let_32 true _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_36) :args (_let_3 QUANTIFIERS_INST_ENUM)) :args _let_36)) (AND_ELIM _let_19 :args (2)) :args (_let_34 false _let_35)) :args (_let_31 false _let_32 false _let_34)) :args (_let_30 true _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_4 QUANTIFIERS_INST_ENUM)) :args _let_28)) _let_27 :args (_let_25 false _let_26)) :args (_let_24 true _let_23 false _let_25)) :args (_let_5 true _let_21)) _let_20 :args (false false _let_5 false _let_2)) :args (_let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.31/10.54  )
% 10.31/10.54  % SZS output end Proof for SYN728+1
% 10.31/10.54  % cvc5---1.0.5 exiting
% 10.31/10.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------