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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYO190^5 : 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 : n006.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 0.33s 0.55s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO190^5 : 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
% 0.18/0.35  % Computer : n006.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit : 300
% 0.18/0.35  % WCLimit  : 300
% 0.18/0.35  % DateTime : Wed Jun  3 00:00:19 EDT 2026
% 0.18/0.35  % CPUTime  : 
% 0.20/0.50  %----Proving TH0
% 0.33/0.55  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.33/0.55  % SZS status Theorem
% 0.33/0.55  % SZS output start Proof
% 0.33/0.55  (
% 0.33/0.55  (define @t1 () (@var "Xy" Bool))
% 0.33/0.55  (define @t2 () (@var "Xx" Bool))
% 0.33/0.55  (define @t3 () (or @t2 @t1))
% 0.33/0.55  (define @t4 () (@list @t2 @t1))
% 0.33/0.55  (define @t5 () (exists @t4 @t3))
% 0.33/0.55  (define @t6 () (not @t5))
% 0.33/0.55  (define @t7 () (not true))
% 0.33/0.55  (define @t8 () (@var "BOUND_VARIABLE_7428" Bool))
% 0.33/0.55  (define @t9 () (not @t8))
% 0.33/0.55  (define @t10 () (@list @t8))
% 0.33/0.55  (define @t11 () (or @t9 @t9))
% 0.33/0.55  (define @t12 () (forall @t10 @t9))
% 0.33/0.55  (define @t13 () (@var "BOUND_VARIABLE_7426" Bool))
% 0.33/0.55  (define @t14 () (forall (@list @t13 @t8) @t9))
% 0.33/0.55  (define @t15 () (@var "BOUND_VARIABLE_7419" Bool))
% 0.33/0.55  (define @t16 () (not @t15))
% 0.33/0.55  (define @t17 () (@list @t15))
% 0.33/0.55  (define @t18 () (or @t16 @t16))
% 0.33/0.55  (define @t19 () (forall @t17 @t16))
% 0.33/0.55  (define @t20 () (@var "BOUND_VARIABLE_7421" Bool))
% 0.33/0.55  (define @t21 () (forall (@list @t15 @t20) @t16))
% 0.33/0.55  (define @t22 () (not @t1))
% 0.33/0.55  (define @t23 () (forall @t4 @t22))
% 0.33/0.55  (define @t24 () (@list @t2 @t1))
% 0.33/0.55  (define @t25 () (not @t2))
% 0.33/0.55  (define @t26 () (forall @t4 @t25))
% 0.33/0.55  (define @t27 () (and @t26 @t23))
% 0.33/0.55  (define @t28 () (forall @t4 (not @t3)))
% 0.33/0.55  (define @t29 () (not @t28))
% 0.33/0.55  (assume @p1 @t6)
% 0.33/0.55  (assume @p2 true)
% 0.33/0.55  (step @p3 :rule evaluate :args (@t7))
% 0.33/0.55  (step @p4 :rule evaluate :args ((not false)))
% 0.33/0.55  (step @p5 :rule evaluate :args ((and false false)))
% 0.33/0.55  (step @p6 :rule quant-var-elim-eq :args ((= (forall @t10 (or (not (= @t8 true)) @t9)) @t7)))
% 0.33/0.55  (step @p7 :rule refl :args (@t9))
% 0.33/0.55  (step @p8 :rule bool-eq-true :args (@t8))
% 0.33/0.55  (step @p9 :rule symm :premises (@p8))
% 0.33/0.55  (step @p10 :rule cong :premises (@p9) :args (@t9))
% 0.33/0.55  (step @p11 :rule nary_cong :premises (@p10 @p7) :args (@t11))
% 0.33/0.55  (step @p12 :rule aci_norm :args ((= @t9 @t11)))
% 0.33/0.55  (step @p13 :rule trans :premises (@p12 @p11))
% 0.33/0.55  (step @p14 :rule cong :premises (@p13) :args (@t12))
% 0.33/0.55  (step @p15 :rule trans :premises (@p14 @p6))
% 0.33/0.55  (step @p16 :rule trans :premises (@p15 @p3))
% 0.33/0.55  (step @p17 :rule quant-unused-vars :args ((= @t14 @t12)))
% 0.33/0.55  (step @p18 :rule trans :premises (@p17 @p16))
% 0.33/0.55  (step @p19 :rule quant-var-elim-eq :args ((= (forall @t17 (or (not (= @t15 true)) @t16)) @t7)))
% 0.33/0.55  (step @p20 :rule refl :args (@t16))
% 0.33/0.55  (step @p21 :rule bool-eq-true :args (@t15))
% 0.33/0.55  (step @p22 :rule symm :premises (@p21))
% 0.33/0.55  (step @p23 :rule cong :premises (@p22) :args (@t16))
% 0.33/0.55  (step @p24 :rule nary_cong :premises (@p23 @p20) :args (@t18))
% 0.33/0.55  (step @p25 :rule aci_norm :args ((= @t16 @t18)))
% 0.33/0.55  (step @p26 :rule trans :premises (@p25 @p24))
% 0.33/0.55  (step @p27 :rule cong :premises (@p26) :args (@t19))
% 0.33/0.55  (step @p28 :rule trans :premises (@p27 @p19))
% 0.33/0.55  (step @p29 :rule trans :premises (@p28 @p3))
% 0.33/0.55  (step @p30 :rule quant-unused-vars :args ((= @t21 @t19)))
% 0.33/0.55  (step @p31 :rule trans :premises (@p30 @p29))
% 0.33/0.55  (step @p32 :rule nary_cong :premises (@p31 @p18) :args ((and @t21 @t14)))
% 0.33/0.55  (step @p33 :rule trans :premises (@p32 @p5))
% 0.33/0.55  (step @p34 :rule alpha_equiv :args (@t23 @t24 (@list @t13 @t8)))
% 0.33/0.55  (step @p35 :rule alpha_equiv :args (@t26 @t24 (@list @t15 @t20)))
% 0.33/0.55  (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t27))
% 0.33/0.55  (step @p37 :rule quant-miniscope-and :args ((= (forall @t4 (and @t25 @t22)) @t27)))
% 0.33/0.55  (step @p38 :rule trans :premises (@p37 @p36))
% 0.33/0.55  (step @p39 :rule trans :premises (@p38 @p33))
% 0.33/0.55  (step @p40 :rule bool-or-de-morgan :args (@t2 @t1 false))
% 0.33/0.55  (step @p41 :rule cong :premises (@p40) :args (@t28))
% 0.33/0.55  (step @p42 :rule trans :premises (@p41 @p39))
% 0.33/0.55  (step @p43 :rule cong :premises (@p42) :args (@t29))
% 0.33/0.55  (step @p44 :rule trans :premises (@p43 @p4))
% 0.33/0.55  (step @p45 :rule exists-elim :args ((= @t5 @t29)))
% 0.33/0.55  (step @p46 :rule trans :premises (@p45 @p44))
% 0.33/0.55  (step @p47 :rule cong :premises (@p46) :args (@t6))
% 0.33/0.55  (step @p48 :rule trans :premises (@p47 @p3))
% 0.33/0.55  (step @p49 false :rule eq_resolve :premises (@p1 @p48))
% 0.33/0.55  )
% 0.33/0.55  % SZS output end Proof
% 0.33/0.55  % cvc5 exiting
%------------------------------------------------------------------------------