TSTP Solution File: SYO501^1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYO501^1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n011.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 18:32:53 EDT 2024

% Result   : Theorem 0.19s 0.51s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYO501^1 : TPTP v8.2.0. Released v4.1.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue May 28 07:53:54 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.19/0.48  %----Proving TH0
% 0.19/0.51  --- Run --ho-elim --full-saturate-quant at 10...
% 0.19/0.51  % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.We0Azpn5YN/cvc5---1.0.5_7976.smt2
% 0.19/0.51  % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.We0Azpn5YN/cvc5---1.0.5_7976.smt2
% 0.19/0.51  (assume a0 (not (or (not (@ tptp.p (@ (@ tptp.f tptp.x) (not (not tptp.y))))) (@ tptp.p (@ (@ tptp.f tptp.x) tptp.y)))))
% 0.19/0.51  (assume a1 true)
% 0.19/0.51  (step t1 (cl (not (not (not (@ tptp.p (@ (@ tptp.f tptp.x) tptp.y))))) (@ tptp.p (@ (@ tptp.f tptp.x) tptp.y))) :rule not_not)
% 0.19/0.51  (step t2 (cl (not (= (not (or (not (@ tptp.p (@ (@ tptp.f tptp.x) (not (not tptp.y))))) (@ tptp.p (@ (@ tptp.f tptp.x) tptp.y)))) (not (or (not (@ tptp.p (@ (@ tptp.f tptp.x) tptp.y))) (@ tptp.p (@ (@ tptp.f tptp.x) tptp.y)))))) (not (not (or (not (@ tptp.p (@ (@ tptp.f tptp.x) (not (not tptp.y))))) (@ tptp.p (@ (@ tptp.f tptp.x) tptp.y))))) (not (or (not (@ tptp.p (@ (@ tptp.f tptp.x) tptp.y))) (@ tptp.p (@ (@ tptp.f tptp.x) tptp.y))))) :rule equiv_pos2)
% 0.19/0.51  (step t3 (cl (= tptp.p tptp.p)) :rule refl)
% 0.19/0.51  (step t4 (cl (= (@ tptp.f tptp.x) (@ tptp.f tptp.x))) :rule refl)
% 0.19/0.51  (step t5 (cl (= (not (not tptp.y)) tptp.y)) :rule all_simplify)
% 0.19/0.51  (step t6 (cl (= (@ (@ tptp.f tptp.x) (not (not tptp.y))) (@ (@ tptp.f tptp.x) tptp.y))) :rule cong :premises (t4 t5))
% 0.19/0.51  (step t7 (cl (= (@ tptp.p (@ (@ tptp.f tptp.x) (not (not tptp.y)))) (@ tptp.p (@ (@ tptp.f tptp.x) tptp.y)))) :rule cong :premises (t3 t6))
% 0.19/0.51  (step t8 (cl (= (not (@ tptp.p (@ (@ tptp.f tptp.x) (not (not tptp.y))))) (not (@ tptp.p (@ (@ tptp.f tptp.x) tptp.y))))) :rule cong :premises (t7))
% 0.19/0.51  (step t9 (cl (= (@ tptp.p (@ (@ tptp.f tptp.x) tptp.y)) (@ tptp.p (@ (@ tptp.f tptp.x) tptp.y)))) :rule refl)
% 0.19/0.51  (step t10 (cl (= (or (not (@ tptp.p (@ (@ tptp.f tptp.x) (not (not tptp.y))))) (@ tptp.p (@ (@ tptp.f tptp.x) tptp.y))) (or (not (@ tptp.p (@ (@ tptp.f tptp.x) tptp.y))) (@ tptp.p (@ (@ tptp.f tptp.x) tptp.y))))) :rule cong :premises (t8 t9))
% 0.19/0.51  (step t11 (cl (= (not (or (not (@ tptp.p (@ (@ tptp.f tptp.x) (not (not tptp.y))))) (@ tptp.p (@ (@ tptp.f tptp.x) tptp.y)))) (not (or (not (@ tptp.p (@ (@ tptp.f tptp.x) tptp.y))) (@ tptp.p (@ (@ tptp.f tptp.x) tptp.y)))))) :rule cong :premises (t10))
% 0.19/0.51  (step t12 (cl (not (or (not (@ tptp.p (@ (@ tptp.f tptp.x) tptp.y))) (@ tptp.p (@ (@ tptp.f tptp.x) tptp.y))))) :rule resolution :premises (t2 t11 a0))
% 0.19/0.51  (step t13 (cl (not (not (@ tptp.p (@ (@ tptp.f tptp.x) tptp.y))))) :rule not_or :premises (t12))
% 0.19/0.51  (step t14 (cl (@ tptp.p (@ (@ tptp.f tptp.x) tptp.y))) :rule resolution :premises (t1 t13))
% 0.19/0.51  (step t15 (cl (not (= (not (or (not (@ tptp.p (@ (@ tptp.f tptp.x) (not (not tptp.y))))) (@ tptp.p (@ (@ tptp.f tptp.x) tptp.y)))) (not (or (not (@ tptp.p (@ (@ tptp.f tptp.x) tptp.y))) (@ tptp.p (@ (@ tptp.f tptp.x) tptp.y)))))) (not (not (or (not (@ tptp.p (@ (@ tptp.f tptp.x) (not (not tptp.y))))) (@ tptp.p (@ (@ tptp.f tptp.x) tptp.y))))) (not (or (not (@ tptp.p (@ (@ tptp.f tptp.x) tptp.y))) (@ tptp.p (@ (@ tptp.f tptp.x) tptp.y))))) :rule equiv_pos2)
% 0.19/0.51  (step t16 (cl (not (or (not (@ tptp.p (@ (@ tptp.f tptp.x) tptp.y))) (@ tptp.p (@ (@ tptp.f tptp.x) tptp.y))))) :rule resolution :premises (t15 t11 a0))
% 0.19/0.51  (step t17 (cl (not (@ tptp.p (@ (@ tptp.f tptp.x) tptp.y)))) :rule not_or :premises (t16))
% 0.19/0.51  (step t18 (cl) :rule resolution :premises (t14 t17))
% 0.19/0.51  
% 0.19/0.51  % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.We0Azpn5YN/cvc5---1.0.5_7976.smt2
% 0.19/0.51  % cvc5---1.0.5 exiting
% 0.19/0.51  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------