TSTP Solution File: SYN327+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN327+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n022.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 02:02:28 EDT 2023

% Result   : Theorem 0.21s 0.53s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SYN327+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n022.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sat Aug 26 20:50:10 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.21/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.53  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.vYprhUSQvc/cvc5---1.0.5_26438.p...
% 0.21/0.53  ------- get file name : TPTP file name is SYN327+1
% 0.21/0.53  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_26438.smt2...
% 0.21/0.53  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.53  % SZS status Theorem for SYN327+1
% 0.21/0.53  % SZS output start Proof for SYN327+1
% 0.21/0.53  (
% 0.21/0.53  (let ((_let_1 (not (forall ((X $$unsorted)) (exists ((Y $$unsorted)) (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_f Y X))) (let ((_let_2 (tptp.big_f X Z))) (let ((_let_3 (tptp.big_f X Y))) (=> _let_1 (and (=> _let_2 _let_3) (=> _let_3 (=> (not _let_2) (and _let_1 (tptp.big_f Z Y))))))))))))))) (let ((_let_2 (forall ((BOUND_VARIABLE_643 $$unsorted)) (tptp.big_f BOUND_VARIABLE_643 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_3 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_4 (forall ((BOUND_VARIABLE_648 $$unsorted)) (let ((_let_1 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_648))) (or (and (not _let_1) (not (forall ((BOUND_VARIABLE_606 $$unsorted)) (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_606))))) (and _let_1 (not (forall ((BOUND_VARIABLE_613 $$unsorted)) (or (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_613) (and (tptp.big_f BOUND_VARIABLE_648 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.big_f BOUND_VARIABLE_613 BOUND_VARIABLE_648))))))))))) (let ((_let_5 (not _let_4))) (let ((_let_6 (not _let_2))) (let ((_let_7 (or _let_6 _let_5))) (let ((_let_8 (forall ((X $$unsorted)) (or (not (forall ((BOUND_VARIABLE_643 $$unsorted)) (tptp.big_f BOUND_VARIABLE_643 X))) (not (forall ((BOUND_VARIABLE_648 $$unsorted)) (let ((_let_1 (tptp.big_f X BOUND_VARIABLE_648))) (or (and (not _let_1) (not (forall ((BOUND_VARIABLE_606 $$unsorted)) (not (tptp.big_f X BOUND_VARIABLE_606))))) (and _let_1 (not (forall ((BOUND_VARIABLE_613 $$unsorted)) (or (tptp.big_f X BOUND_VARIABLE_613) (and (tptp.big_f BOUND_VARIABLE_648 X) (tptp.big_f BOUND_VARIABLE_613 BOUND_VARIABLE_648)))))))))))))) (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 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_10) :args (_let_12))) (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)))) (let ((_let_14 (REFL :args (_let_7)))) (let ((_let_15 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_7 0)) (CONG _let_14 (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_2))) :args _let_11)) :args ((or _let_2 _let_7))) _let_13 :args (_let_2 true _let_7)))) (let ((_let_16 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_17 (and _let_16 _let_3))) (let ((_let_18 (not _let_3))) (let ((_let_19 (or (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9) _let_17))) (let ((_let_20 (forall ((BOUND_VARIABLE_613 $$unsorted)) (or (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_613) (and (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.big_f BOUND_VARIABLE_613 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_21 (not _let_19))) (let ((_let_22 (not _let_20))) (let ((_let_23 (and _let_16 _let_22))) (let ((_let_24 (not _let_16))) (let ((_let_25 (and _let_24 (not (forall ((BOUND_VARIABLE_606 $$unsorted)) (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_606))))))) (let ((_let_26 (or _let_25 _let_23))) (let ((_let_27 (_let_4))) (let ((_let_28 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_29 (not _let_25))) (let ((_let_30 (_let_2))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args _let_28) :args _let_30)) _let_15 :args (_let_16 false _let_2)))) (let ((_let_33 (_let_22))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_f BOUND_VARIABLE_643 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) true))))) :args _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_17)) :args ((or _let_24 _let_17 _let_18))) _let_32 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_19 1)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_33)) :args _let_33)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_20))) (REFL :args (_let_21)) :args _let_11)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_23 1)) :args ((or _let_22 (not _let_23)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_23 (not _let_26)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_25 0)) :args ((or _let_24 _let_29))) _let_32 :args (_let_29 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_27) :args _let_28) :args _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_7 1)) (CONG _let_14 (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))) :args _let_11)) :args ((or _let_4 _let_7))) _let_13 :args (_let_4 true _let_7)) :args (_let_26 false _let_4)) :args (_let_23 true _let_25 false _let_26)) :args (_let_22 false _let_23)) :args (_let_21 true _let_20)) :args ((not _let_17) true _let_19)) :args (_let_18 false _let_16 true _let_17)) _let_15 :args (false true _let_3 false _let_2)) :args (_let_1 true))))))))))))))))))))))))))))))))))))
% 0.21/0.54  )
% 0.21/0.54  % SZS output end Proof for SYN327+1
% 0.21/0.54  % cvc5---1.0.5 exiting
% 0.21/0.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------