TSTP Solution File: SYN918+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN918+1 : TPTP v8.1.2. Released v3.1.0.
% 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 02:05:28 EDT 2023

% Result   : Theorem 0.21s 0.54s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN918+1 : TPTP v8.1.2. Released v3.1.0.
% 0.14/0.15  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n024.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sat Aug 26 18:37:54 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.54  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.JWDPE5IFFB/cvc5---1.0.5_26672.p...
% 0.21/0.54  ------- get file name : TPTP file name is SYN918+1
% 0.21/0.54  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_26672.smt2...
% 0.21/0.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.54  % SZS status Theorem for SYN918+1
% 0.21/0.54  % SZS output start Proof for SYN918+1
% 0.21/0.54  (
% 0.21/0.54  (let ((_let_1 (not (=> (and (forall ((X $$unsorted)) (=> (=> (and (tptp.f X) (tptp.g X)) (tptp.h X)) (exists ((Y $$unsorted)) (and (tptp.f Y) (not (tptp.g Y)))))) (or (forall ((W $$unsorted)) (=> (tptp.f W) (tptp.g W))) (forall ((Z $$unsorted)) (=> (tptp.f Z) (tptp.h Z))))) (=> (forall ((R $$unsorted)) (=> (and (tptp.f R) (tptp.h R)) (tptp.g R))) (exists ((V $$unsorted)) (and (tptp.f V) (tptp.g V) (not (tptp.h V))))))))) (let ((_let_2 (forall ((V $$unsorted)) (or (not (tptp.f V)) (not (tptp.g V)) (tptp.h V))))) (let ((_let_3 (tptp.h SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_4 (tptp.g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_7 (not _let_6))) (let ((_let_8 (or _let_7 _let_5 _let_3))) (let ((_let_9 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_10 (NOT_IMPLIES_ELIM2 _let_9))) (let ((_let_11 (not _let_8))) (let ((_let_12 (forall ((BOUND_VARIABLE_647 $$unsorted)) (tptp.g BOUND_VARIABLE_647)))) (let ((_let_13 (forall ((BOUND_VARIABLE_652 $$unsorted)) (not (tptp.h BOUND_VARIABLE_652))))) (let ((_let_14 (forall ((BOUND_VARIABLE_642 $$unsorted)) (tptp.f BOUND_VARIABLE_642)))) (let ((_let_15 (and _let_14 _let_12 _let_13))) (let ((_let_16 (forall ((Y $$unsorted)) (or (not (tptp.f Y)) (tptp.g Y))))) (let ((_let_17 (tptp.g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_18 (tptp.f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_19 _let_17))) (let ((_let_21 (forall ((Z $$unsorted)) (or (not (tptp.f Z)) (tptp.h Z))))) (let ((_let_22 (tptp.h SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_23 (or _let_19 _let_22))) (let ((_let_24 (not _let_22))) (let ((_let_25 (or _let_19 _let_24 _let_17))) (let ((_let_26 (or))) (let ((_let_27 (not _let_16))) (let ((_let_28 (_let_27))) (let ((_let_29 (NOT_IMPLIES_ELIM1 _let_9))) (let ((_let_30 (_let_21))) (let ((_let_31 (forall ((R $$unsorted)) (or (not (tptp.f R)) (not (tptp.h R)) (tptp.g R))))) (let ((_let_32 (_let_31))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (AND_ELIM _let_29 :args (0)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_19 _let_22 (not _let_23)))) (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_19 _let_17 _let_24 (not _let_25)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_32) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.f R) false))))) :args _let_32)) (NOT_IMPLIES_ELIM1 _let_10) :args (_let_25 false _let_31)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_30) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.f Z) false))))) :args _let_30)) (CNF_OR_NEG :args (_let_20 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_20 0)) (CONG (REFL :args (_let_20)) (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_26)) :args ((or _let_18 _let_20))) (AND_ELIM _let_29 :args (1)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_28)) :args _let_28)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_16))) (REFL :args ((not _let_20))) :args _let_26)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_16 (= Y W)))) :args (_let_16 true _let_22 false _let_25 false _let_23 true _let_17 false _let_18 false _let_21 true _let_20 true (forall ((W $$unsorted)) (or (not (tptp.f W)) (tptp.g W))))) :args (_let_15 false _let_16)))) (let ((_let_34 (not _let_15))) (let ((_let_35 (_let_12))) (let ((_let_36 (_let_14))) (let ((_let_37 (_let_13))) (let ((_let_38 (_let_2))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_38) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.f V) false))))) :args _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_8)) :args ((or _let_3 _let_7 _let_5 _let_11))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_37) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.h BOUND_VARIABLE_652) false))))) :args _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_15 2)) :args ((or _let_13 _let_34))) _let_33 :args (_let_13 false _let_15)) :args ((not _let_3) false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_36) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.f BOUND_VARIABLE_642) true))))) :args _let_36)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_15 0)) :args ((or _let_14 _let_34))) _let_33 :args (_let_14 false _let_15)) :args (_let_6 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_35) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.g BOUND_VARIABLE_647) true))))) :args _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_15 1)) :args ((or _let_12 _let_34))) _let_33 :args (_let_12 false _let_15)) :args (_let_4 false _let_12)) :args (_let_11 true _let_3 false _let_6 false _let_4)) (NOT_NOT_ELIM (NOT_IMPLIES_ELIM2 _let_10)) :args (false true _let_8 false _let_2)) :args (_let_1 true)))))))))))))))))))))))))))))))))))))))))
% 0.21/0.55  )
% 0.21/0.55  % SZS output end Proof for SYN918+1
% 0.21/0.55  % cvc5---1.0.5 exiting
% 0.21/0.55  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------