TSTP Solution File: SYN323+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN323+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n028.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 02:02:27 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    : SYN323+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n028.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % 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 18:54:22 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.53  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.ZQupk6JikC/cvc5---1.0.5_7056.p...
% 0.21/0.53  ------- get file name : TPTP file name is SYN323+1
% 0.21/0.53  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_7056.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 SYN323+1
% 0.21/0.53  % SZS output start Proof for SYN323+1
% 0.21/0.53  (
% 0.21/0.53  (let ((_let_1 (not (exists ((Y $$unsorted)) (=> (forall ((X $$unsorted)) (=> (=> (tptp.big_f X Y) (tptp.big_f Y X)) (tptp.big_g X Y))) (not (forall ((X $$unsorted)) (=> (=> (tptp.big_f X Y) (tptp.big_f Y X)) (not (tptp.big_g X Y)))))))))) (let ((_let_2 (tptp.big_f e_$$unsorted_4 e_$$unsorted_4))) (let ((_let_3 (not _let_2))) (let ((_let_4 (and _let_2 _let_3))) (let ((_let_5 (tptp.big_g e_$$unsorted_4 e_$$unsorted_4))) (let ((_let_6 (or _let_4 _let_5))) (let ((_let_7 (not _let_5))) (let ((_let_8 (or _let_4 _let_7))) (let ((_let_9 (forall ((BOUND_VARIABLE_617 $$unsorted) (X $$unsorted)) (or (and (tptp.big_f X BOUND_VARIABLE_617) (not (tptp.big_f BOUND_VARIABLE_617 X))) (tptp.big_g X BOUND_VARIABLE_617))))) (let ((_let_10 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_11 (_let_9))) (let ((_let_12 (e_$$unsorted_4 e_$$unsorted_4 QUANTIFIERS_INST_ENUM))) (let ((_let_13 (forall ((BOUND_VARIABLE_628 $$unsorted) (X $$unsorted)) (or (and (tptp.big_f X BOUND_VARIABLE_628) (not (tptp.big_f BOUND_VARIABLE_628 X))) (not (tptp.big_g X BOUND_VARIABLE_628)))))) (let ((_let_14 (_let_13))) (let ((_let_15 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_8)) :args ((or _let_4 _let_7 (not _let_8)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_14) :args _let_12) :args _let_14)) (AND_ELIM _let_10 :args (1)) :args (_let_8 false _let_13)) (REORDERING (CNF_OR_POS :args (_let_6)) :args ((or _let_5 _let_4 (not _let_6)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_11) :args _let_12) :args _let_11)) (AND_ELIM _let_10 :args (0)) :args (_let_6 false _let_9)) :args (_let_4 false _let_8 false _let_5 false _let_6)))) (let ((_let_16 (not _let_4))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_4 1)) :args ((or _let_3 _let_16))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_4 0)) :args ((or _let_2 _let_16))) _let_15 :args (_let_2 false _let_4)) _let_15 :args (false false _let_2 false _let_4)) :args (_let_1 true)))))))))))))))))))
% 0.21/0.53  )
% 0.21/0.53  % SZS output end Proof for SYN323+1
% 0.21/0.53  % cvc5---1.0.5 exiting
% 0.21/0.53  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------