%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET585^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n020.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 17:45:03 EDT 2024

% Result   : Theorem 0.21s 0.53s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SET585^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n020.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 11:22:39 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TH0
% 0.21/0.53  --- Run --ho-elim --full-saturate-quant at 10...
% 0.21/0.53  % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.6U41MJMOBA/cvc5---1.0.5_19032.smt2
% 0.21/0.53  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.6U41MJMOBA/cvc5---1.0.5_19032.smt2
% 0.21/0.53  (assume a0 (not (forall ((X (-> tptp.a Bool)) (Y (-> tptp.a Bool)) (Z (-> tptp.a Bool)) (Xx tptp.a)) (=> (and (@ X Xx) (@ Y Xx)) (or (@ X Xx) (@ Z Xx))))))
% 0.21/0.53  (assume a1 true)
% 0.21/0.53  (step t1 (cl (not (= (not (forall ((X (-> tptp.a Bool)) (Y (-> tptp.a Bool)) (Z (-> tptp.a Bool)) (Xx tptp.a)) (=> (and (@ X Xx) (@ Y Xx)) (or (@ X Xx) (@ Z Xx))))) false)) (not (not (forall ((X (-> tptp.a Bool)) (Y (-> tptp.a Bool)) (Z (-> tptp.a Bool)) (Xx tptp.a)) (=> (and (@ X Xx) (@ Y Xx)) (or (@ X Xx) (@ Z Xx)))))) false) :rule equiv_pos2)
% 0.21/0.53  (step t2 (cl (= (forall ((X (-> tptp.a Bool)) (Y (-> tptp.a Bool)) (Z (-> tptp.a Bool)) (Xx tptp.a)) (=> (and (@ X Xx) (@ Y Xx)) (or (@ X Xx) (@ Z Xx)))) (forall ((X (-> tptp.a Bool)) (Y (-> tptp.a Bool)) (Z (-> tptp.a Bool)) (Xx tptp.a)) true))) :rule all_simplify)
% 0.21/0.53  (step t3 (cl (= (forall ((X (-> tptp.a Bool)) (Y (-> tptp.a Bool)) (Z (-> tptp.a Bool)) (Xx tptp.a)) true) true)) :rule all_simplify)
% 0.21/0.53  (step t4 (cl (= (forall ((X (-> tptp.a Bool)) (Y (-> tptp.a Bool)) (Z (-> tptp.a Bool)) (Xx tptp.a)) (=> (and (@ X Xx) (@ Y Xx)) (or (@ X Xx) (@ Z Xx)))) true)) :rule trans :premises (t2 t3))
% 0.21/0.53  (step t5 (cl (= (not (forall ((X (-> tptp.a Bool)) (Y (-> tptp.a Bool)) (Z (-> tptp.a Bool)) (Xx tptp.a)) (=> (and (@ X Xx) (@ Y Xx)) (or (@ X Xx) (@ Z Xx))))) (not true))) :rule cong :premises (t4))
% 0.21/0.53  (step t6 (cl (= (not true) false)) :rule all_simplify)
% 0.21/0.53  (step t7 (cl (= (not (forall ((X (-> tptp.a Bool)) (Y (-> tptp.a Bool)) (Z (-> tptp.a Bool)) (Xx tptp.a)) (=> (and (@ X Xx) (@ Y Xx)) (or (@ X Xx) (@ Z Xx))))) false)) :rule trans :premises (t5 t6))
% 0.21/0.53  (step t8 (cl false) :rule resolution :premises (t1 t7 a0))
% 0.21/0.53  (step t9 (cl (not false)) :rule false)
% 0.21/0.53  (step t10 (cl) :rule resolution :premises (t8 t9))
% 0.21/0.53  
% 0.21/0.53  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.6U41MJMOBA/cvc5---1.0.5_19032.smt2
% 0.21/0.53  % cvc5---1.0.5 exiting
% 0.21/0.53  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------