TSTP Solution File: SYN341+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN341+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n009.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 02:02:35 EDT 2023

% Result   : Theorem 0.20s 0.53s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN341+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.13  % Command    : do_cvc5 %s %d
% 0.14/0.34  % Computer : n009.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
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sat Aug 26 19:50:50 EDT 2023
% 0.14/0.34  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.53  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.j12orC7q1L/cvc5---1.0.5_3544.p...
% 0.20/0.53  ------- get file name : TPTP file name is SYN341+1
% 0.20/0.53  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_3544.smt2...
% 0.20/0.53  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.53  % SZS status Theorem for SYN341+1
% 0.20/0.53  % SZS output start Proof for SYN341+1
% 0.20/0.53  (
% 0.20/0.53  (let ((_let_1 (not (exists ((X1 $$unsorted)) (forall ((X2 $$unsorted)) (exists ((X3 $$unsorted)) (forall ((X4 $$unsorted)) (=> (tptp.big_f X1 X2 X3) (tptp.big_f X2 X3 X4))))))))) (let ((_let_2 (forall ((BOUND_VARIABLE_608 $$unsorted)) (not (forall ((X4 $$unsorted)) (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 BOUND_VARIABLE_608 X4)))))) (let ((_let_3 (forall ((X4 $$unsorted)) (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 X4)))) (let ((_let_4 (not _let_2))) (let ((_let_5 (or (not (forall ((BOUND_VARIABLE_603 $$unsorted)) (tptp.big_f e_$$unsorted_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 BOUND_VARIABLE_603))) _let_4))) (let ((_let_6 (forall ((X2 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_603 $$unsorted)) (tptp.big_f e_$$unsorted_2 X2 BOUND_VARIABLE_603))) (not (forall ((BOUND_VARIABLE_608 $$unsorted)) (not (forall ((X4 $$unsorted)) (tptp.big_f X2 BOUND_VARIABLE_608 X4))))))))) (let ((_let_7 (not _let_5))) (let ((_let_8 (forall ((X1 $$unsorted)) (not (forall ((X2 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_603 $$unsorted)) (tptp.big_f X1 X2 BOUND_VARIABLE_603))) (not (forall ((BOUND_VARIABLE_608 $$unsorted)) (not (forall ((X4 $$unsorted)) (tptp.big_f X2 BOUND_VARIABLE_608 X4))))))))))) (let ((_let_9 (not _let_6))) (let ((_let_10 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_11 (_let_8))) (let ((_let_12 (or))) (let ((_let_13 (_let_9))) (let ((_let_14 (forall ((BOUND_VARIABLE_603 $$unsorted)) (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 BOUND_VARIABLE_603)))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or _let_15 (not (forall ((BOUND_VARIABLE_608 $$unsorted)) (not (forall ((X4 $$unsorted)) (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 BOUND_VARIABLE_608 X4)))))))) (let ((_let_17 (forall ((X2 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_603 $$unsorted)) (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X2 BOUND_VARIABLE_603))) (not (forall ((BOUND_VARIABLE_608 $$unsorted)) (not (forall ((X4 $$unsorted)) (tptp.big_f X2 BOUND_VARIABLE_608 X4))))))))) (let ((_let_18 (not _let_16))) (let ((_let_19 (not _let_17))) (let ((_let_20 (_let_19))) (let ((_let_21 (_let_2))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_21) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_ENUM)) :args _let_21)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_14 (= BOUND_VARIABLE_603 X4)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_16 0)) (CONG (REFL :args (_let_16)) (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_12)) :args ((or _let_14 _let_16))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_20)) :args _let_20)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_17))) (REFL :args (_let_18)) :args _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_10 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_ENUM)) :args _let_11)) _let_10 :args (_let_19 false _let_8)) :args (_let_18 true _let_17)) :args (_let_14 true _let_16)) :args (_let_3 false _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_5 1)) (CONG (REFL :args (_let_5)) (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_2))) :args _let_12)) :args ((or _let_2 _let_5))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_13)) :args _let_13)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_6))) (REFL :args (_let_7)) :args _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_10 :args (e_$$unsorted_2 QUANTIFIERS_INST_ENUM)) :args _let_11)) _let_10 :args (_let_9 false _let_8)) :args (_let_7 true _let_6)) :args (_let_2 true _let_5)) :args (false false _let_3 false _let_2)) :args (_let_1 true))))))))))))))))))))))))
% 0.20/0.53  )
% 0.20/0.53  % SZS output end Proof for SYN341+1
% 0.20/0.53  % cvc5---1.0.5 exiting
% 0.20/0.53  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------