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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYO139^5 : 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 : n009.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 09:12:06 AM UTC 2026

% Result   : Theorem 0.27s 0.54s
% Output   : Proof 0.27s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO139^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.34  % Computer : n009.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit : 300
% 0.15/0.34  % WCLimit  : 300
% 0.15/0.34  % DateTime : Tue Jun  2 23:58:59 EDT 2026
% 0.15/0.34  % CPUTime  : 
% 0.27/0.49  %----Proving TH0
% 0.27/0.54  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.27/0.54  % SZS status Theorem
% 0.27/0.54  % SZS output start Proof
% 0.27/0.54  (
% 0.27/0.54  (declare-sort $$unsorted 0)
% 0.27/0.54  (declare-const tptp.cP (-> $$unsorted Bool))
% 0.27/0.54  (declare-const tptp.cQ (-> $$unsorted Bool))
% 0.27/0.54  (define @t1 () (@var "Xy" $$unsorted))
% 0.27/0.54  (define @t2 () (_ tptp.cQ @t1))
% 0.27/0.54  (define @t3 () (not @t2))
% 0.27/0.54  (define @t4 () (@var "Xx" $$unsorted))
% 0.27/0.54  (define @t5 () (_ tptp.cP @t4))
% 0.27/0.54  (define @t6 () (not @t5))
% 0.27/0.54  (define @t7 () (or @t5 @t6))
% 0.27/0.54  (define @t8 () (@list @t4))
% 0.27/0.54  (define @t9 () (exists @t8 @t7))
% 0.27/0.54  (define @t10 () (and @t9 @t2))
% 0.27/0.54  (define @t11 () (or @t10 @t3))
% 0.27/0.54  (define @t12 () (@list @t1))
% 0.27/0.54  (define @t13 () (exists @t12 @t11))
% 0.27/0.54  (define @t14 () (not @t13))
% 0.27/0.54  (define @t15 () (or @t2 @t3))
% 0.27/0.54  (define @t16 () (forall @t12 (not @t15)))
% 0.27/0.54  (define @t17 () (not @t16))
% 0.27/0.54  (define @t18 () (forall @t8 (not @t7)))
% 0.27/0.54  (define @t19 () (not @t18))
% 0.27/0.54  (assume @p1 @t14)
% 0.27/0.54  (assume @p2 true)
% 0.27/0.54  (step @p3 :rule evaluate :args ((not true)))
% 0.27/0.54  (step @p4 :rule evaluate :args ((not false)))
% 0.27/0.54  (step @p5 :rule quant-unused-vars :args ((= (forall @t12 false) false)))
% 0.27/0.54  (step @p6 :rule bool-and-conf2 :args (true @t2 true true))
% 0.27/0.54  (step @p7 :rule bool-double-not-elim :args (@t2))
% 0.27/0.54  (step @p8 :rule refl :args (@t3))
% 0.27/0.54  (step @p9 :rule nary_cong :premises (@p8 @p7) :args ((and @t3 (not @t3))))
% 0.27/0.54  (step @p10 :rule bool-or-de-morgan :args (@t2 @t3 false))
% 0.27/0.54  (step @p11 :rule trans :premises (@p10 @p9))
% 0.27/0.54  (step @p12 :rule trans :premises (@p11 @p6))
% 0.27/0.54  (step @p13 :rule cong :premises (@p12) :args (@t16))
% 0.27/0.54  (step @p14 :rule trans :premises (@p13 @p5))
% 0.27/0.54  (step @p15 :rule cong :premises (@p14) :args (@t17))
% 0.27/0.54  (step @p16 :rule trans :premises (@p15 @p4))
% 0.27/0.54  (step @p17 :rule exists-elim :args ((= (exists @t12 @t15) @t17)))
% 0.27/0.54  (step @p18 :rule trans :premises (@p17 @p16))
% 0.27/0.54  (step @p19 :rule refl :args (@t3))
% 0.27/0.54  (step @p20 :rule aci_norm :args ((= (and true @t2) @t2)))
% 0.27/0.54  (step @p21 :rule refl :args (@t2))
% 0.27/0.54  (step @p22 :rule quant-unused-vars :args ((= (forall @t8 false) false)))
% 0.27/0.54  (step @p23 :rule bool-and-conf2 :args (true @t5 true true))
% 0.27/0.54  (step @p24 :rule bool-double-not-elim :args (@t5))
% 0.27/0.54  (step @p25 :rule refl :args (@t6))
% 0.27/0.54  (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((and @t6 (not @t6))))
% 0.27/0.54  (step @p27 :rule bool-or-de-morgan :args (@t5 @t6 false))
% 0.27/0.54  (step @p28 :rule trans :premises (@p27 @p26))
% 0.27/0.54  (step @p29 :rule trans :premises (@p28 @p23))
% 0.27/0.54  (step @p30 :rule cong :premises (@p29) :args (@t18))
% 0.27/0.54  (step @p31 :rule trans :premises (@p30 @p22))
% 0.27/0.54  (step @p32 :rule cong :premises (@p31) :args (@t19))
% 0.27/0.54  (step @p33 :rule trans :premises (@p32 @p4))
% 0.27/0.54  (step @p34 :rule exists-elim :args ((= @t9 @t19)))
% 0.27/0.54  (step @p35 :rule trans :premises (@p34 @p33))
% 0.27/0.54  (step @p36 :rule nary_cong :premises (@p35 @p21) :args (@t10))
% 0.27/0.54  (step @p37 :rule trans :premises (@p36 @p20))
% 0.27/0.54  (step @p38 :rule nary_cong :premises (@p37 @p19) :args (@t11))
% 0.27/0.54  (step @p39 :rule cong :premises (@p38) :args (@t13))
% 0.27/0.54  (step @p40 :rule trans :premises (@p39 @p18))
% 0.27/0.54  (step @p41 :rule cong :premises (@p40) :args (@t14))
% 0.27/0.54  (step @p42 :rule trans :premises (@p41 @p3))
% 0.27/0.54  (step @p43 false :rule eq_resolve :premises (@p1 @p42))
% 0.27/0.54  )
% 0.27/0.54  % SZS output end Proof
% 0.27/0.54  % cvc5 exiting
%------------------------------------------------------------------------------