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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYO192^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n016.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 09:12:12 AM UTC 2026

% Result   : Theorem 0.30s 0.56s
% Output   : Proof 0.30s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO192^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.35  % Computer : n016.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Wed Jun  3 00:00:54 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.30/0.50  %----Proving TH0
% 0.30/0.56  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.30/0.56  % SZS status Theorem
% 0.30/0.56  % SZS output start Proof
% 0.30/0.56  (
% 0.30/0.56  (define @t1 () (@var "Xy" Bool))
% 0.30/0.56  (define @t2 () (@var "Xx" Bool))
% 0.30/0.56  (define @t3 () (= @t2 @t1))
% 0.30/0.56  (define @t4 () (@list @t2 @t1))
% 0.30/0.56  (define @t5 () (exists @t4 @t3))
% 0.30/0.56  (define @t6 () (not @t5))
% 0.30/0.56  (define @t7 () (@list @t1))
% 0.30/0.56  (define @t8 () (= @t1 (not @t1)))
% 0.30/0.56  (define @t9 () (not @t2))
% 0.30/0.56  (define @t10 () (= @t1 @t9))
% 0.30/0.56  (define @t11 () (not @t3))
% 0.30/0.56  (define @t12 () (@list @t2))
% 0.30/0.56  (define @t13 () (not @t9))
% 0.30/0.56  (define @t14 () (or @t10 @t10))
% 0.30/0.56  (define @t15 () (forall @t12 @t10))
% 0.30/0.56  (define @t16 () (forall @t7 @t15))
% 0.30/0.56  (define @t17 () (forall (@list @t1 @t2) @t10))
% 0.30/0.56  (define @t18 () (forall @t4 @t11))
% 0.30/0.56  (define @t19 () (not @t18))
% 0.30/0.56  (assume @p1 @t6)
% 0.30/0.56  (assume @p2 true)
% 0.30/0.56  (step @p3 :rule evaluate :args ((not true)))
% 0.30/0.56  (step @p4 :rule evaluate :args ((not false)))
% 0.30/0.56  (step @p5 :rule quant-unused-vars :args ((= (forall @t7 false) false)))
% 0.30/0.56  (step @p6 :rule bool-eq-nrefl :args (@t1))
% 0.30/0.56  (step @p7 :rule cong :premises (@p6) :args ((forall @t7 @t8)))
% 0.30/0.56  (step @p8 :rule trans :premises (@p7 @p5))
% 0.30/0.56  (step @p9 :rule quant-var-elim-eq :args ((= (forall @t12 (or @t11 @t10)) @t8)))
% 0.30/0.56  (step @p10 :rule refl :args (@t10))
% 0.30/0.56  (step @p11 :rule refl :args (@t1))
% 0.30/0.56  (step @p12 :rule bool-double-not-elim :args (@t2))
% 0.30/0.56  (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t13 @t1)))
% 0.30/0.56  (step @p14 :rule eq-symm :args (@t1 @t13))
% 0.30/0.56  (step @p15 :rule trans :premises (@p14 @p13))
% 0.30/0.56  (step @p16 :rule bool-not-eq-elim2 :args (@t1 @t9))
% 0.30/0.56  (step @p17 :rule trans :premises (@p16 @p15))
% 0.30/0.56  (step @p18 :rule cong :premises (@p17) :args ((not (not @t10))))
% 0.30/0.56  (step @p19 :rule bool-double-not-elim :args (@t10))
% 0.30/0.56  (step @p20 :rule symm :premises (@p19))
% 0.30/0.56  (step @p21 :rule trans :premises (@p20 @p18))
% 0.30/0.56  (step @p22 :rule nary_cong :premises (@p21 @p10) :args (@t14))
% 0.30/0.56  (step @p23 :rule aci_norm :args ((= @t10 @t14)))
% 0.30/0.56  (step @p24 :rule trans :premises (@p23 @p22))
% 0.30/0.56  (step @p25 :rule cong :premises (@p24) :args (@t15))
% 0.30/0.56  (step @p26 :rule trans :premises (@p25 @p9))
% 0.30/0.56  (step @p27 :rule cong :premises (@p26) :args (@t16))
% 0.30/0.56  (step @p28 :rule quant-merge-prenex :args ((= @t16 @t17)))
% 0.30/0.56  (step @p29 :rule symm :premises (@p28))
% 0.30/0.56  (step @p30 :rule quant_var_reordering :args ((= (forall @t4 @t10) @t17)))
% 0.30/0.56  (step @p31 :rule trans :premises (@p30 @p29 @p27))
% 0.30/0.56  (step @p32 :rule trans :premises (@p31 @p8))
% 0.30/0.56  (step @p33 :rule eq-symm :args (@t9 @t1))
% 0.30/0.56  (step @p34 :rule cong :premises (@p33) :args ((forall @t4 (= @t9 @t1))))
% 0.30/0.56  (step @p35 :rule trans :premises (@p34 @p32))
% 0.30/0.56  (step @p36 :rule bool-not-eq-elim1 :args (@t2 @t1))
% 0.30/0.56  (step @p37 :rule cong :premises (@p36) :args (@t18))
% 0.30/0.56  (step @p38 :rule trans :premises (@p37 @p35))
% 0.30/0.56  (step @p39 :rule cong :premises (@p38) :args (@t19))
% 0.30/0.56  (step @p40 :rule trans :premises (@p39 @p4))
% 0.30/0.56  (step @p41 :rule exists-elim :args ((= @t5 @t19)))
% 0.30/0.56  (step @p42 :rule trans :premises (@p41 @p40))
% 0.30/0.56  (step @p43 :rule cong :premises (@p42) :args (@t6))
% 0.30/0.56  (step @p44 :rule trans :premises (@p43 @p3))
% 0.30/0.56  (step @p45 false :rule eq_resolve :premises (@p1 @p44))
% 0.30/0.56  )
% 0.30/0.56  % SZS output end Proof
% 0.40/0.56  % cvc5 exiting
%------------------------------------------------------------------------------