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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEV051^5 : 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 : n011.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 08:55:22 AM UTC 2026

% Result   : Theorem 0.31s 0.54s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEV051^5 : 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 : n011.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 18:10:05 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.31/0.48  %----Proving TH0
% 0.31/0.54  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.31/0.54  % SZS status Theorem
% 0.31/0.54  % SZS output start Proof
% 0.31/0.54  (
% 0.31/0.54  (declare-sort tptp.a 0)
% 0.31/0.54  (define @t1 () (@var "Xv" tptp.a))
% 0.31/0.54  (define @t2 () (@var "Xu" tptp.a))
% 0.31/0.54  (define @t3 () (= @t2 @t1))
% 0.31/0.54  (define @t4 () (@var "Xw" tptp.a))
% 0.31/0.54  (define @t5 () (= @t1 @t4))
% 0.31/0.54  (define @t6 () (= @t2 @t4))
% 0.31/0.54  (define @t7 () (and @t6 @t5))
% 0.31/0.54  (define @t8 () (@list @t2 @t1 @t4))
% 0.31/0.54  (define @t9 () (forall @t8 (=> @t7 @t3)))
% 0.31/0.54  (define @t10 () (@var "Xx" tptp.a))
% 0.31/0.54  (define @t11 () (@list @t10))
% 0.31/0.54  (define @t12 () (forall @t11 (= @t10 @t10)))
% 0.31/0.54  (define @t13 () (and @t12 @t9))
% 0.31/0.54  (define @t14 () (not @t13))
% 0.31/0.54  (define @t15 () (@list @t1 @t4))
% 0.31/0.54  (define @t16 () (not @t5))
% 0.31/0.54  (define @t17 () (or @t16 @t5))
% 0.31/0.54  (define @t18 () (not (= @t4 @t4)))
% 0.31/0.54  (define @t19 () (or @t18 @t16 (= @t4 @t1)))
% 0.31/0.54  (define @t20 () (not @t6))
% 0.31/0.54  (define @t21 () (or @t20 @t20 @t16 @t3))
% 0.31/0.54  (define @t22 () (@list @t2))
% 0.31/0.54  (define @t23 () (or @t20 @t16 @t3))
% 0.31/0.54  (define @t24 () (forall @t22 @t23))
% 0.31/0.54  (define @t25 () (forall @t15 @t24))
% 0.31/0.54  (define @t26 () (forall (@list @t1 @t4 @t2) @t23))
% 0.31/0.54  (assume @p1 @t14)
% 0.31/0.54  (assume @p2 true)
% 0.31/0.54  (step @p3 :rule evaluate :args ((not true)))
% 0.31/0.54  (step @p4 :rule evaluate :args ((and true true)))
% 0.31/0.54  (step @p5 :rule quant-unused-vars :args ((= (forall @t15 true) true)))
% 0.31/0.54  (step @p6 :rule bool-or-taut2 :args (false @t5 false false))
% 0.31/0.54  (step @p7 :rule cong :premises (@p6) :args ((forall @t15 @t17)))
% 0.31/0.54  (step @p8 :rule trans :premises (@p7 @p5))
% 0.31/0.54  (step @p9 :rule aci_norm :args ((= (or false @t16 @t5) @t17)))
% 0.31/0.54  (step @p10 :rule eq-symm :args (@t4 @t1))
% 0.31/0.54  (step @p11 :rule refl :args (@t16))
% 0.31/0.54  (step @p12 :rule eq-refl :args (@t4))
% 0.31/0.54  (step @p13 :rule cong :premises (@p12) :args (@t18))
% 0.31/0.54  (step @p14 :rule trans :premises (@p13 @p3))
% 0.31/0.54  (step @p15 :rule nary_cong :premises (@p14 @p11 @p10) :args (@t19))
% 0.31/0.54  (step @p16 :rule trans :premises (@p15 @p9))
% 0.31/0.54  (step @p17 :rule cong :premises (@p16) :args ((forall @t15 @t19)))
% 0.31/0.54  (step @p18 :rule trans :premises (@p17 @p8))
% 0.31/0.54  (step @p19 :rule quant-var-elim-eq :args ((= (forall @t22 @t21) @t19)))
% 0.31/0.54  (step @p20 :rule aci_norm :args ((= @t23 @t21)))
% 0.31/0.54  (step @p21 :rule cong :premises (@p20) :args (@t24))
% 0.31/0.54  (step @p22 :rule trans :premises (@p21 @p19))
% 0.31/0.54  (step @p23 :rule cong :premises (@p22) :args (@t25))
% 0.31/0.54  (step @p24 :rule quant-merge-prenex :args ((= @t25 @t26)))
% 0.31/0.54  (step @p25 :rule symm :premises (@p24))
% 0.31/0.54  (step @p26 :rule quant_var_reordering :args ((= (forall @t8 @t23) @t26)))
% 0.31/0.54  (step @p27 :rule trans :premises (@p26 @p25 @p23))
% 0.31/0.54  (step @p28 :rule trans :premises (@p27 @p18))
% 0.31/0.54  (step @p29 :rule aci_norm :args ((= (or (or @t20 @t16) @t3) @t23)))
% 0.31/0.54  (step @p30 :rule refl :args (@t3))
% 0.31/0.54  (step @p31 :rule bool-and-de-morgan :args (@t6 @t5 true))
% 0.31/0.54  (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or (not @t7) @t3)))
% 0.31/0.54  (step @p33 :rule trans :premises (@p32 @p29))
% 0.31/0.54  (step @p34 :rule bool-impl-elim :args (@t7 @t3))
% 0.31/0.54  (step @p35 :rule trans :premises (@p34 @p33))
% 0.31/0.54  (step @p36 :rule cong :premises (@p35) :args (@t9))
% 0.31/0.54  (step @p37 :rule trans :premises (@p36 @p28))
% 0.31/0.54  (step @p38 :rule quant-unused-vars :args ((= (forall @t11 true) true)))
% 0.31/0.54  (step @p39 :rule eq-refl :args (@t10))
% 0.31/0.54  (step @p40 :rule cong :premises (@p39) :args (@t12))
% 0.31/0.54  (step @p41 :rule trans :premises (@p40 @p38))
% 0.31/0.54  (step @p42 :rule nary_cong :premises (@p41 @p37) :args (@t13))
% 0.31/0.54  (step @p43 :rule trans :premises (@p42 @p4))
% 0.31/0.54  (step @p44 :rule cong :premises (@p43) :args (@t14))
% 0.31/0.54  (step @p45 :rule trans :premises (@p44 @p3))
% 0.31/0.54  (step @p46 false :rule eq_resolve :premises (@p1 @p45))
% 0.31/0.54  )
% 0.31/0.54  % SZS output end Proof
% 0.31/0.54  % cvc5 exiting
%------------------------------------------------------------------------------