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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEU537^2 : TPTP v9.2.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n029.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 08:52:06 AM UTC 2026

% Result   : Theorem 0.27s 0.55s
% Output   : Proof 0.27s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU537^2 : TPTP v9.2.1. Released v3.7.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n029.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Jun  2 17:58:47 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.27/0.49  %----Proving TH0
% 0.27/0.55  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.27/0.55  % SZS status Theorem
% 0.27/0.55  % SZS output start Proof
% 0.27/0.55  (
% 0.27/0.55  (declare-sort $$unsorted 0)
% 0.27/0.55  (declare-const tptp.in (-> $$unsorted $$unsorted Bool))
% 0.27/0.55  (define @t1 () (@var "Xx" $$unsorted))
% 0.27/0.55  (define @t2 () (@var "Xphi" (-> $$unsorted Bool)))
% 0.27/0.55  (define @t3 () (_ @t2 @t1))
% 0.27/0.55  (define @t4 () (@var "A" $$unsorted))
% 0.27/0.55  (define @t5 () (_ (_ tptp.in @t1) @t4))
% 0.27/0.55  (define @t6 () (and @t5 @t3))
% 0.27/0.55  (define @t7 () (@list @t1))
% 0.27/0.55  (define @t8 () (exists @t7 @t6))
% 0.27/0.55  (define @t9 () (not @t8))
% 0.27/0.55  (define @t10 () (not @t3))
% 0.27/0.55  (define @t11 () (forall @t7 (=> @t5 @t10)))
% 0.27/0.55  (define @t12 () (=> @t11 @t9))
% 0.27/0.55  (define @t13 () (@list @t4 @t2))
% 0.27/0.55  (define @t14 () (forall @t13 @t12))
% 0.27/0.55  (define @t15 () (not @t14))
% 0.27/0.55  (define @t16 () (_ @t2 @t1))
% 0.27/0.55  (define @t17 () (tptp.in @t1 @t4))
% 0.27/0.55  (define @t18 () (forall @t7 (or (not @t17) (not @t16))))
% 0.27/0.55  (define @t19 () (not @t5))
% 0.27/0.55  (define @t20 () (or @t19 @t10))
% 0.27/0.55  (define @t21 () (forall @t7 (not @t6)))
% 0.27/0.55  (define @t22 () (not @t21))
% 0.27/0.55  (assume @p1 @t15)
% 0.27/0.55  (assume @p2 true)
% 0.27/0.55  (step @p3 :rule evaluate :args ((not true)))
% 0.27/0.55  (step @p4 :rule quant-unused-vars :args ((= (forall @t13 true) true)))
% 0.27/0.55  (step @p5 :rule bool-or-taut2 :args (false @t18 false false))
% 0.27/0.55  (step @p6 :rule bool-impl-elim :args (@t18 @t18))
% 0.27/0.55  (step @p7 :rule trans :premises (@p6 @p5))
% 0.27/0.55  (step @p8 :rule cong :premises (@p7) :args ((forall @t13 (=> @t18 @t18))))
% 0.27/0.55  (step @p9 :rule trans :premises (@p8 @p4))
% 0.27/0.55  (step @p10 :rule bool-double-not-elim :args (@t18))
% 0.27/0.55  (step @p11 :rule refl :args (@t16))
% 0.27/0.55  (step @p12 :rule refl :args (@t3))
% 0.27/0.55  (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t3 @t16)))
% 0.27/0.55  (step @p14 :rule symm :premises (@p13))
% 0.27/0.55  (step @p15 :rule eq_resolve :premises (@p12 @p14))
% 0.27/0.55  (step @p16 :rule cong :premises (@p15) :args (@t10))
% 0.27/0.55  (step @p17 :rule refl :args (@t17))
% 0.27/0.55  (step @p18 :rule refl :args (@t5))
% 0.27/0.55  (step @p19 :rule cong :premises (@p18 @p17) :args ((= @t5 @t17)))
% 0.27/0.55  (step @p20 :rule symm :premises (@p19))
% 0.27/0.55  (step @p21 :rule eq_resolve :premises (@p18 @p20))
% 0.27/0.55  (step @p22 :rule cong :premises (@p21) :args (@t19))
% 0.27/0.55  (step @p23 :rule nary_cong :premises (@p22 @p16) :args (@t20))
% 0.27/0.55  (step @p24 :rule cong :premises (@p23) :args ((forall @t7 @t20)))
% 0.27/0.55  (step @p25 :rule bool-and-de-morgan :args (@t5 @t3 true))
% 0.27/0.55  (step @p26 :rule cong :premises (@p25) :args (@t21))
% 0.27/0.55  (step @p27 :rule trans :premises (@p26 @p24))
% 0.27/0.55  (step @p28 :rule cong :premises (@p27) :args (@t22))
% 0.27/0.55  (step @p29 :rule exists-elim :args ((= @t8 @t22)))
% 0.27/0.55  (step @p30 :rule trans :premises (@p29 @p28))
% 0.27/0.55  (step @p31 :rule cong :premises (@p30) :args (@t9))
% 0.27/0.55  (step @p32 :rule trans :premises (@p31 @p10))
% 0.27/0.55  (step @p33 :rule bool-impl-elim :args (@t5 @t10))
% 0.27/0.55  (step @p34 :rule cong :premises (@p33) :args (@t11))
% 0.27/0.55  (step @p35 :rule trans :premises (@p34 @p24))
% 0.27/0.55  (step @p36 :rule cong :premises (@p35 @p32) :args (@t12))
% 0.27/0.55  (step @p37 :rule cong :premises (@p36) :args (@t14))
% 0.27/0.55  (step @p38 :rule trans :premises (@p37 @p9))
% 0.27/0.55  (step @p39 :rule cong :premises (@p38) :args (@t15))
% 0.27/0.55  (step @p40 :rule trans :premises (@p39 @p3))
% 0.27/0.55  (step @p41 false :rule eq_resolve :premises (@p1 @p40))
% 0.27/0.55  )
% 0.27/0.55  % SZS output end Proof
% 0.27/0.55  % cvc5 exiting
%------------------------------------------------------------------------------