TSTP Solution File: SYN318+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN318+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 02:02:24 EDT 2023

% Result   : Theorem 0.19s 0.50s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN318+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sat Aug 26 19:02:50 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.50  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.DaMRk1tSHZ/cvc5---1.0.5_28691.p...
% 0.19/0.50  ------- get file name : TPTP file name is SYN318+1
% 0.19/0.50  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_28691.smt2...
% 0.19/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.50  % SZS status Theorem for SYN318+1
% 0.19/0.50  % SZS output start Proof for SYN318+1
% 0.19/0.50  (
% 0.19/0.50  (let ((_let_1 (not (exists ((Y $$unsorted)) (=> (forall ((X $$unsorted)) (=> (tptp.big_f X) (=> (tptp.big_f Y) (tptp.big_g X)))) (=> tptp.p (forall ((X $$unsorted)) (=> (tptp.big_f X) (tptp.big_g Y))))))))) (let ((_let_2 (forall ((BOUND_VARIABLE_631 $$unsorted)) (not (tptp.big_g BOUND_VARIABLE_631))))) (let ((_let_3 (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_4 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_5 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_6 (not _let_5))) (let ((_let_7 (or _let_6 _let_3))) (let ((_let_8 (forall ((X $$unsorted)) (or (not (tptp.big_f X)) (tptp.big_g X))))) (let ((_let_9 (forall ((BOUND_VARIABLE_624 $$unsorted)) (not (tptp.big_f BOUND_VARIABLE_624))))) (let ((_let_10 (not _let_9))) (let ((_let_11 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (SYMM (ALPHA_EQUIV :args (_let_9 (= BOUND_VARIABLE_624 X))))) (AND_ELIM _let_4 :args (3)) :args (_let_10 true (forall ((X $$unsorted)) (not (tptp.big_f X))))))) (let ((_let_12 (_let_8))) (let ((_let_13 (_let_10))) (let ((_let_14 (_let_2))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_14) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_g BOUND_VARIABLE_631) false))))) :args _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_7)) :args ((or _let_6 _let_3 (not _let_7)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_13)) :args _let_13) (REWRITE :args ((=> _let_10 (not _let_6)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))) (REFL :args (_let_5)) :args (or))) _let_11 :args (_let_5 true _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_12) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_f X) false))))) :args _let_12)) (MACRO_RESOLUTION_TRUST (AND_ELIM _let_4 :args (0)) _let_11 :args (_let_8 true _let_9)) :args (_let_7 false _let_8)) :args (_let_3 false _let_5 false _let_7)) (AND_ELIM _let_4 :args (2)) :args (false false _let_3 false _let_2)) :args (_let_1 true)))))))))))))))))
% 0.19/0.50  )
% 0.19/0.50  % SZS output end Proof for SYN318+1
% 0.19/0.50  % cvc5---1.0.5 exiting
% 0.19/0.51  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------