TSTP Solution File: SET924+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET924+1 : TPTP v8.1.2. Released v3.2.0.
% 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 : Thu Aug 31 14:41:01 EDT 2023

% Result   : Theorem 0.18s 0.49s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SET924+1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.13  % Command    : do_cvc5 %s %d
% 0.11/0.33  % Computer : n009.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Sat Aug 26 12:46:20 EDT 2023
% 0.11/0.33  % CPUTime    : 
% 0.18/0.46  %----Proving TF0_NAR, FOF, or CNF
% 0.18/0.49  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.KgIzFlIDZ9/cvc5---1.0.5_20445.p...
% 0.18/0.49  ------- get file name : TPTP file name is SET924+1
% 0.18/0.49  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_20445.smt2...
% 0.18/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.18/0.49  % SZS status Theorem for SET924+1
% 0.18/0.49  % SZS output start Proof for SET924+1
% 0.18/0.49  (
% 0.18/0.49  (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.singleton A))) (= (= (tptp.set_difference _let_1 B) _let_1) (not (tptp.in A B))))))) (let ((_let_2 (not (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.singleton A))) (= (= (tptp.set_difference _let_1 B) _let_1) (not (tptp.in A B)))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.singleton A))) (= (not (tptp.in A B)) (= _let_1 (tptp.set_difference _let_1 B))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.singleton A))) (= (not (tptp.in A B)) (= _let_1 (tptp.set_difference _let_1 B))))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_4 (= A A) (= B B)))) (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))) :args ((not _let_3) true _let_4)) :args (false true _let_3)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) _let_2 _let_1 true)))))))
% 0.18/0.49  )
% 0.18/0.49  % SZS output end Proof for SET924+1
% 0.18/0.49  % cvc5---1.0.5 exiting
% 0.18/0.49  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------