%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYO365^5 : TPTP v8.2.0. Bugfixed v5.2.0.
% 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 18:31:37 EDT 2024

% Result   : Theorem 0.19s 0.54s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15  % Problem    : SYO365^5 : TPTP v8.2.0. Bugfixed v5.2.0.
% 0.07/0.16  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n006.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 06:25:24 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.19/0.52  %----Proving TH0
% 0.19/0.54  --- Run --ho-elim --full-saturate-quant at 10...
% 0.19/0.54  % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.2zQuQUDak5/cvc5---1.0.5_17781.smt2
% 0.19/0.54  % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.2zQuQUDak5/cvc5---1.0.5_17781.smt2
% 0.19/0.54  (assume a0 (= tptp.cEXT2 (=> (@ tptp.cC tptp.cA) (@ tptp.cC (not (not tptp.cA))))))
% 0.19/0.54  (assume a1 (= tptp.cEXT_eq_0 (forall ((Xp Bool) (Xq Bool)) (=> (= Xp Xq) (= Xp Xq)))))
% 0.19/0.54  (assume a2 (not (=> tptp.cEXT_eq_0 tptp.cEXT2)))
% 0.19/0.54  (assume a3 true)
% 0.19/0.54  (step t1 (cl (not (= (= tptp.cEXT2 (=> (@ tptp.cC tptp.cA) (@ tptp.cC (not (not tptp.cA))))) (= tptp.cEXT2 (=> (@ tptp.cC tptp.cA) (@ tptp.cC tptp.cA))))) (not (= tptp.cEXT2 (=> (@ tptp.cC tptp.cA) (@ tptp.cC (not (not tptp.cA)))))) (= tptp.cEXT2 (=> (@ tptp.cC tptp.cA) (@ tptp.cC tptp.cA)))) :rule equiv_pos2)
% 0.19/0.54  (step t2 (cl (= tptp.cEXT2 tptp.cEXT2)) :rule refl)
% 0.19/0.54  (step t3 (cl (= (@ tptp.cC tptp.cA) (@ tptp.cC tptp.cA))) :rule refl)
% 0.19/0.54  (step t4 (cl (= tptp.cC tptp.cC)) :rule refl)
% 0.19/0.54  (step t5 (cl (= (not (not tptp.cA)) tptp.cA)) :rule all_simplify)
% 0.19/0.54  (step t6 (cl (= (@ tptp.cC (not (not tptp.cA))) (@ tptp.cC tptp.cA))) :rule cong :premises (t4 t5))
% 0.19/0.54  (step t7 (cl (= (=> (@ tptp.cC tptp.cA) (@ tptp.cC (not (not tptp.cA)))) (=> (@ tptp.cC tptp.cA) (@ tptp.cC tptp.cA)))) :rule cong :premises (t3 t6))
% 0.19/0.54  (step t8 (cl (= (= tptp.cEXT2 (=> (@ tptp.cC tptp.cA) (@ tptp.cC (not (not tptp.cA))))) (= tptp.cEXT2 (=> (@ tptp.cC tptp.cA) (@ tptp.cC tptp.cA))))) :rule cong :premises (t2 t7))
% 0.19/0.54  (step t9 (cl (= tptp.cEXT2 (=> (@ tptp.cC tptp.cA) (@ tptp.cC tptp.cA)))) :rule resolution :premises (t1 t8 a0))
% 0.19/0.54  (step t10 (cl tptp.cEXT2 (not (=> (@ tptp.cC tptp.cA) (@ tptp.cC tptp.cA)))) :rule equiv2 :premises (t9))
% 0.19/0.54  (step t11 (cl (not tptp.cEXT2)) :rule not_implies2 :premises (a2))
% 0.19/0.54  (step t12 (cl (not (=> (@ tptp.cC tptp.cA) (@ tptp.cC tptp.cA)))) :rule resolution :premises (t10 t11))
% 0.19/0.54  (step t13 (cl (@ tptp.cC tptp.cA)) :rule not_implies1 :premises (t12))
% 0.19/0.54  (step t14 (cl (not (=> (@ tptp.cC tptp.cA) (@ tptp.cC tptp.cA)))) :rule resolution :premises (t10 t11))
% 0.19/0.54  (step t15 (cl (not (@ tptp.cC tptp.cA))) :rule not_implies2 :premises (t14))
% 0.19/0.54  (step t16 (cl) :rule resolution :premises (t13 t15))
% 0.19/0.54  
% 0.19/0.54  % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.2zQuQUDak5/cvc5---1.0.5_17781.smt2
% 0.19/0.54  % cvc5---1.0.5 exiting
% 0.19/0.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------