%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYO207^5 : 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 18:31:02 EDT 2024

% Result   : Theorem 0.37s 0.54s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : SYO207^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.15  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n016.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue May 28 07:56:39 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.22/0.52  %----Proving TH0
% 0.37/0.54  --- Run --ho-elim --full-saturate-quant at 10...
% 0.37/0.54  % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.NpeemQqDp0/cvc5---1.0.5_32688.smt2
% 0.37/0.54  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.NpeemQqDp0/cvc5---1.0.5_32688.smt2
% 0.37/0.54  (assume a0 (not (forall ((Xx Bool) (Xy Bool)) (= (= Xx Xy) (= Xy Xx)))))
% 0.37/0.54  (assume a1 true)
% 0.37/0.54  (step t1 (cl (not (= (not (forall ((Xx Bool) (Xy Bool)) (= (= Xx Xy) (= Xy Xx)))) false)) (not (not (forall ((Xx Bool) (Xy Bool)) (= (= Xx Xy) (= Xy Xx))))) false) :rule equiv_pos2)
% 0.37/0.54  (anchor :step t2 :args ((Xx Bool) (:= Xx Xx) (Xy Bool) (:= Xy Xy)))
% 0.37/0.54  (step t2.t1 (cl (= Xx Xx)) :rule refl)
% 0.37/0.54  (step t2.t2 (cl (= Xy Xy)) :rule refl)
% 0.37/0.54  (step t2.t3 (cl (= (= Xx Xy) (= Xx Xy))) :rule refl)
% 0.37/0.54  (step t2.t4 (cl (= (= Xy Xx) (= Xx Xy))) :rule all_simplify)
% 0.37/0.54  (step t2.t5 (cl (= (= (= Xx Xy) (= Xy Xx)) (= (= Xx Xy) (= Xx Xy)))) :rule cong :premises (t2.t3 t2.t4))
% 0.37/0.54  (step t2.t6 (cl (= (= (= Xx Xy) (= Xx Xy)) true)) :rule all_simplify)
% 0.37/0.54  (step t2.t7 (cl (= (= (= Xx Xy) (= Xy Xx)) true)) :rule trans :premises (t2.t5 t2.t6))
% 0.37/0.54  (step t2 (cl (= (forall ((Xx Bool) (Xy Bool)) (= (= Xx Xy) (= Xy Xx))) (forall ((Xx Bool) (Xy Bool)) true))) :rule bind)
% 0.37/0.54  (step t3 (cl (= (forall ((Xx Bool) (Xy Bool)) true) true)) :rule all_simplify)
% 0.37/0.54  (step t4 (cl (= (forall ((Xx Bool) (Xy Bool)) (= (= Xx Xy) (= Xy Xx))) true)) :rule trans :premises (t2 t3))
% 0.37/0.54  (step t5 (cl (= (not (forall ((Xx Bool) (Xy Bool)) (= (= Xx Xy) (= Xy Xx)))) (not true))) :rule cong :premises (t4))
% 0.37/0.54  (step t6 (cl (= (not true) false)) :rule all_simplify)
% 0.37/0.54  (step t7 (cl (= (not (forall ((Xx Bool) (Xy Bool)) (= (= Xx Xy) (= Xy Xx)))) false)) :rule trans :premises (t5 t6))
% 0.37/0.54  (step t8 (cl false) :rule resolution :premises (t1 t7 a0))
% 0.37/0.54  (step t9 (cl (not false)) :rule false)
% 0.37/0.54  (step t10 (cl) :rule resolution :premises (t8 t9))
% 0.37/0.54  
% 0.37/0.54  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.NpeemQqDp0/cvc5---1.0.5_32688.smt2
% 0.37/0.54  % cvc5---1.0.5 exiting
% 0.40/0.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------