%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYO195^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n006.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 18:31:00 EDT 2024

% Result   : Theorem 0.22s 0.53s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : SYO195^5 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.37  % Computer : n006.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Tue May 28 06:25:39 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.22/0.51  %----Proving TH0
% 0.22/0.53  --- Run --ho-elim --full-saturate-quant at 10...
% 0.22/0.53  % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.XJtHn3rwnR/cvc5---1.0.5_18439.smt2
% 0.22/0.53  % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.XJtHn3rwnR/cvc5---1.0.5_18439.smt2
% 0.22/0.53  (assume a0 (not (not (forall ((Xx Bool) (Xy Bool)) (= Xx Xy)))))
% 0.22/0.53  (assume a1 true)
% 0.22/0.53  (step t1 (cl (not (= (not (not (forall ((Xx Bool) (Xy Bool)) (= Xx Xy)))) false)) (not (not (not (forall ((Xx Bool) (Xy Bool)) (= Xx Xy))))) false) :rule equiv_pos2)
% 0.22/0.53  (step t2 (cl (= (not (not (forall ((Xx Bool) (Xy Bool)) (= Xx Xy)))) (forall ((Xx Bool) (Xy Bool)) (= Xx Xy)))) :rule all_simplify)
% 0.22/0.53  (step t3 (cl (= (forall ((Xx Bool) (Xy Bool)) (= Xx Xy)) (forall ((Xy Bool)) (= (not Xy) Xy)))) :rule all_simplify)
% 0.22/0.53  (anchor :step t4 :args ((Xy Bool) (:= Xy Xy)))
% 0.22/0.53  (step t4.t1 (cl (= Xy Xy)) :rule refl)
% 0.22/0.53  (step t4.t2 (cl (= (= (not Xy) Xy) false)) :rule all_simplify)
% 0.22/0.53  (step t4 (cl (= (forall ((Xy Bool)) (= (not Xy) Xy)) (forall ((Xy Bool)) false))) :rule bind)
% 0.22/0.53  (step t5 (cl (= (forall ((Xy Bool)) false) false)) :rule all_simplify)
% 0.22/0.53  (step t6 (cl (= (forall ((Xy Bool)) (= (not Xy) Xy)) false)) :rule trans :premises (t4 t5))
% 0.22/0.53  (step t7 (cl (= (forall ((Xx Bool) (Xy Bool)) (= Xx Xy)) false)) :rule trans :premises (t3 t6))
% 0.22/0.53  (step t8 (cl (= (not (not (forall ((Xx Bool) (Xy Bool)) (= Xx Xy)))) false)) :rule trans :premises (t2 t7))
% 0.22/0.53  (step t9 (cl false) :rule resolution :premises (t1 t8 a0))
% 0.22/0.53  (step t10 (cl (not false)) :rule false)
% 0.22/0.53  (step t11 (cl) :rule resolution :premises (t9 t10))
% 0.22/0.53  
% 0.22/0.53  % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.XJtHn3rwnR/cvc5---1.0.5_18439.smt2
% 0.22/0.53  % cvc5---1.0.5 exiting
% 0.22/0.53  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------