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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEV134^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n025.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 Jun  3 08:55:30 AM UTC 2026

% Result   : Theorem 0.34s 0.55s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEV134^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n025.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Tue Jun  2 18:15:16 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.21/0.49  %----Proving TH0
% 0.34/0.55  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.34/0.55  % SZS status Theorem
% 0.34/0.55  % SZS output start Proof
% 0.34/0.55  (
% 0.34/0.55  (declare-sort tptp.a 0)
% 0.34/0.55  (define @t1 () (@var "Xx" tptp.a))
% 0.34/0.55  (define @t2 () (@var "Xx0" (-> tptp.a Bool)))
% 0.34/0.55  (define @t3 () (_ @t2 @t1))
% 0.34/0.55  (define @t4 () (=> @t3 @t3))
% 0.34/0.55  (define @t5 () (@var "Xz" tptp.a))
% 0.34/0.55  (define @t6 () (_ @t2 @t5))
% 0.34/0.55  (define @t7 () (@var "Xy" tptp.a))
% 0.34/0.55  (define @t8 () (_ @t2 @t7))
% 0.34/0.55  (define @t9 () (@var "Xr" (-> tptp.a tptp.a Bool)))
% 0.34/0.55  (define @t10 () (_ (_ @t9 @t7) @t5))
% 0.34/0.55  (define @t11 () (and @t10 @t8))
% 0.34/0.55  (define @t12 () (@list @t7 @t5))
% 0.34/0.55  (define @t13 () (forall @t12 (=> @t11 @t6)))
% 0.34/0.55  (define @t14 () (=> @t13 @t4))
% 0.34/0.55  (define @t15 () (@list @t9 @t1 @t2))
% 0.34/0.55  (define @t16 () (forall @t15 @t14))
% 0.34/0.55  (define @t17 () (not @t16))
% 0.34/0.55  (define @t18 () (_ @t2 @t5))
% 0.34/0.55  (define @t19 () (_ @t2 @t7))
% 0.34/0.55  (define @t20 () (_ @t9 @t7 @t5))
% 0.34/0.55  (define @t21 () (forall @t12 (or (not @t20) (not @t19) @t18)))
% 0.34/0.55  (define @t22 () (not @t21))
% 0.34/0.55  (define @t23 () (or @t22 true))
% 0.34/0.55  (define @t24 () (not @t8))
% 0.34/0.55  (define @t25 () (not @t10))
% 0.34/0.55  (define @t26 () (or @t25 @t24 @t6))
% 0.34/0.55  (assume @p1 @t17)
% 0.34/0.55  (assume @p2 true)
% 0.34/0.55  (step @p3 :rule evaluate :args ((not true)))
% 0.34/0.55  (step @p4 :rule quant-unused-vars :args ((= (forall @t15 true) true)))
% 0.34/0.55  (step @p5 :rule absorb :args ((= @t23 true)))
% 0.34/0.55  (step @p6 :rule cong :premises (@p5) :args ((forall @t15 @t23)))
% 0.34/0.55  (step @p7 :rule trans :premises (@p6 @p4))
% 0.34/0.55  (step @p8 :rule bool-or-taut2 :args (false @t3 false false))
% 0.34/0.55  (step @p9 :rule bool-impl-elim :args (@t3 @t3))
% 0.34/0.55  (step @p10 :rule trans :premises (@p9 @p8))
% 0.34/0.55  (step @p11 :rule refl :args (@t22))
% 0.34/0.55  (step @p12 :rule nary_cong :premises (@p11 @p10) :args ((or @t22 @t4)))
% 0.34/0.55  (step @p13 :rule bool-impl-elim :args (@t21 @t4))
% 0.34/0.55  (step @p14 :rule trans :premises (@p13 @p12))
% 0.34/0.55  (step @p15 :rule cong :premises (@p14) :args ((forall @t15 (=> @t21 @t4))))
% 0.34/0.55  (step @p16 :rule trans :premises (@p15 @p7))
% 0.34/0.55  (step @p17 :rule refl :args (@t4))
% 0.34/0.55  (step @p18 :rule refl :args (@t18))
% 0.34/0.55  (step @p19 :rule refl :args (@t6))
% 0.34/0.55  (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t6 @t18)))
% 0.34/0.55  (step @p21 :rule symm :premises (@p20))
% 0.34/0.55  (step @p22 :rule eq_resolve :premises (@p19 @p21))
% 0.34/0.55  (step @p23 :rule refl :args (@t19))
% 0.34/0.55  (step @p24 :rule refl :args (@t8))
% 0.34/0.55  (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t8 @t19)))
% 0.34/0.55  (step @p26 :rule symm :premises (@p25))
% 0.34/0.55  (step @p27 :rule eq_resolve :premises (@p24 @p26))
% 0.34/0.55  (step @p28 :rule cong :premises (@p27) :args (@t24))
% 0.34/0.55  (step @p29 :rule refl :args (@t20))
% 0.34/0.55  (step @p30 :rule refl :args (@t10))
% 0.34/0.55  (step @p31 :rule cong :premises (@p30 @p29) :args ((= @t10 @t20)))
% 0.34/0.55  (step @p32 :rule symm :premises (@p31))
% 0.34/0.55  (step @p33 :rule eq_resolve :premises (@p30 @p32))
% 0.34/0.55  (step @p34 :rule cong :premises (@p33) :args (@t25))
% 0.34/0.55  (step @p35 :rule nary_cong :premises (@p34 @p28 @p22) :args (@t26))
% 0.34/0.55  (step @p36 :rule cong :premises (@p35) :args ((forall @t12 @t26)))
% 0.34/0.55  (step @p37 :rule aci_norm :args ((= (or (or @t25 @t24) @t6) @t26)))
% 0.34/0.55  (step @p38 :rule bool-and-de-morgan :args (@t10 @t8 true))
% 0.34/0.55  (step @p39 :rule nary_cong :premises (@p38 @p19) :args ((or (not @t11) @t6)))
% 0.34/0.55  (step @p40 :rule trans :premises (@p39 @p37))
% 0.34/0.55  (step @p41 :rule bool-impl-elim :args (@t11 @t6))
% 0.34/0.55  (step @p42 :rule trans :premises (@p41 @p40))
% 0.34/0.55  (step @p43 :rule cong :premises (@p42) :args (@t13))
% 0.34/0.55  (step @p44 :rule trans :premises (@p43 @p36))
% 0.34/0.55  (step @p45 :rule cong :premises (@p44 @p17) :args (@t14))
% 0.34/0.55  (step @p46 :rule cong :premises (@p45) :args (@t16))
% 0.34/0.55  (step @p47 :rule trans :premises (@p46 @p16))
% 0.34/0.55  (step @p48 :rule cong :premises (@p47) :args (@t17))
% 0.34/0.55  (step @p49 :rule trans :premises (@p48 @p3))
% 0.34/0.55  (step @p50 false :rule eq_resolve :premises (@p1 @p49))
% 0.34/0.55  )
% 0.34/0.55  % SZS output end Proof
% 0.34/0.55  % cvc5 exiting
%------------------------------------------------------------------------------