%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYO187^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n032.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 0.15s 0.43s
% Output   : Proof 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SYO187^5 : TPTP v8.2.0. Released v4.0.0.
% 0.09/0.10  % Command    : do_cvc5 %s %d
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Tue May 28 07:56:09 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.15/0.41  %----Proving TH0
% 0.15/0.43  --- Run --ho-elim --full-saturate-quant at 10...
% 0.15/0.43  % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.zGec5LTfE2/cvc5---1.0.5_24797.smt2
% 0.15/0.43  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.zGec5LTfE2/cvc5---1.0.5_24797.smt2
% 0.15/0.43  (assume a0 (not (exists ((Xx Bool)) (forall ((Xy Bool)) Xx))))
% 0.15/0.43  (assume a1 true)
% 0.15/0.43  (step t1 (cl (not (= (not (exists ((Xx Bool)) (forall ((Xy Bool)) Xx))) false)) (not (not (exists ((Xx Bool)) (forall ((Xy Bool)) Xx)))) false) :rule equiv_pos2)
% 0.15/0.43  (anchor :step t2 :args ((Xx Bool) (:= Xx Xx)))
% 0.15/0.43  (step t2.t1 (cl (= Xx Xx)) :rule refl)
% 0.15/0.43  (step t2.t2 (cl (= (forall ((Xy Bool)) Xx) Xx)) :rule all_simplify)
% 0.15/0.43  (step t2 (cl (= (exists ((Xx Bool)) (forall ((Xy Bool)) Xx)) (exists ((Xx Bool)) Xx))) :rule bind)
% 0.15/0.43  (step t3 (cl (= (exists ((Xx Bool)) Xx) (not (forall ((Xx Bool)) (not Xx))))) :rule all_simplify)
% 0.15/0.43  (step t4 (cl (= (forall ((Xx Bool)) (not Xx)) (not true))) :rule all_simplify)
% 0.15/0.43  (step t5 (cl (= (not true) false)) :rule all_simplify)
% 0.15/0.43  (step t6 (cl (= (forall ((Xx Bool)) (not Xx)) false)) :rule trans :premises (t4 t5))
% 0.15/0.43  (step t7 (cl (= (not (forall ((Xx Bool)) (not Xx))) (not false))) :rule cong :premises (t6))
% 0.15/0.43  (step t8 (cl (= (not false) true)) :rule all_simplify)
% 0.15/0.43  (step t9 (cl (= (not (forall ((Xx Bool)) (not Xx))) true)) :rule trans :premises (t7 t8))
% 0.15/0.43  (step t10 (cl (= (exists ((Xx Bool)) Xx) true)) :rule trans :premises (t3 t9))
% 0.15/0.43  (step t11 (cl (= (exists ((Xx Bool)) (forall ((Xy Bool)) Xx)) true)) :rule trans :premises (t2 t10))
% 0.15/0.43  (step t12 (cl (= (not (exists ((Xx Bool)) (forall ((Xy Bool)) Xx))) (not true))) :rule cong :premises (t11))
% 0.15/0.43  (step t13 (cl (= (not (exists ((Xx Bool)) (forall ((Xy Bool)) Xx))) false)) :rule trans :premises (t12 t5))
% 0.15/0.43  (step t14 (cl false) :rule resolution :premises (t1 t13 a0))
% 0.15/0.43  (step t15 (cl (not false)) :rule false)
% 0.15/0.43  (step t16 (cl) :rule resolution :premises (t14 t15))
% 0.15/0.43  
% 0.15/0.43  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.zGec5LTfE2/cvc5---1.0.5_24797.smt2
% 0.15/0.43  % cvc5---1.0.5 exiting
% 0.15/0.43  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------