TSTP Solution File: SYO185^5 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYO185^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n016.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 : Wed May 29 18:30:57 EDT 2024

% Result   : Theorem 0.20s 0.52s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SYO185^5 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n016.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   : Tue May 28 06:51:09 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.20/0.50  %----Proving TH0
% 0.20/0.52  --- Run --ho-elim --full-saturate-quant at 10...
% 0.20/0.52  % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.MRPNX9fxyW/cvc5---1.0.5_28451.smt2
% 0.20/0.52  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.MRPNX9fxyW/cvc5---1.0.5_28451.smt2
% 0.20/0.52  (assume a0 (not (exists ((Xx Bool)) (=> tptp.y tptp.y))))
% 0.20/0.52  (assume a1 true)
% 0.20/0.52  (step t1 (cl (not (= (not (exists ((Xx Bool)) (=> tptp.y tptp.y))) false)) (not (not (exists ((Xx Bool)) (=> tptp.y tptp.y)))) false) :rule equiv_pos2)
% 0.20/0.52  (step t2 (cl (= (exists ((Xx Bool)) (=> tptp.y tptp.y)) (not (forall ((Xx Bool)) (not (=> tptp.y tptp.y)))))) :rule all_simplify)
% 0.20/0.52  (step t3 (cl (= (forall ((Xx Bool)) (not (=> tptp.y tptp.y))) (forall ((Xx Bool)) false))) :rule all_simplify)
% 0.20/0.52  (step t4 (cl (= (forall ((Xx Bool)) false) false)) :rule all_simplify)
% 0.20/0.52  (step t5 (cl (= (forall ((Xx Bool)) (not (=> tptp.y tptp.y))) false)) :rule trans :premises (t3 t4))
% 0.20/0.52  (step t6 (cl (= (not (forall ((Xx Bool)) (not (=> tptp.y tptp.y)))) (not false))) :rule cong :premises (t5))
% 0.20/0.52  (step t7 (cl (= (not false) true)) :rule all_simplify)
% 0.20/0.52  (step t8 (cl (= (not (forall ((Xx Bool)) (not (=> tptp.y tptp.y)))) true)) :rule trans :premises (t6 t7))
% 0.20/0.52  (step t9 (cl (= (exists ((Xx Bool)) (=> tptp.y tptp.y)) true)) :rule trans :premises (t2 t8))
% 0.20/0.52  (step t10 (cl (= (not (exists ((Xx Bool)) (=> tptp.y tptp.y))) (not true))) :rule cong :premises (t9))
% 0.20/0.52  (step t11 (cl (= (not true) false)) :rule all_simplify)
% 0.20/0.52  (step t12 (cl (= (not (exists ((Xx Bool)) (=> tptp.y tptp.y))) false)) :rule trans :premises (t10 t11))
% 0.20/0.52  (step t13 (cl false) :rule resolution :premises (t1 t12 a0))
% 0.20/0.52  (step t14 (cl (not false)) :rule false)
% 0.20/0.52  (step t15 (cl) :rule resolution :premises (t13 t14))
% 0.20/0.52  
% 0.20/0.52  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.MRPNX9fxyW/cvc5---1.0.5_28451.smt2
% 0.20/0.52  % cvc5---1.0.5 exiting
% 0.20/0.52  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------