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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : LCL648+1.001 : TPTP v9.3.1. 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 : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Sep  7 11:23:17 AM UTC 2026

% Result   : Theorem 0.17s 0.61s
% Output   : Proof 0.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL648+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.48  % Computer : n007.cluster.edu
% 0.08/0.48  % Model    : x86_64 x86_64
% 0.08/0.48  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.48  % Memory   : 8046.5625MB
% 0.08/0.48  % OS       : Linux 6.8.0-71-generic
% 0.08/0.48  % CPULimit : 300
% 0.08/0.48  % WCLimit  : 300
% 0.08/0.48  % DateTime : Fri Sep  4 12:22:55 UTC 2026
% 0.08/0.48  % CPUTime  : 
% 0.08/0.55  %----Proving TF0_NAR, FOF, or CNF
% 0.17/0.61  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.17/0.61  % SZS status Theorem
% 0.17/0.61  % SZS output start Proof
% 0.17/0.61  (
% 0.17/0.61  (declare-sort $$unsorted 0)
% 0.17/0.61  (declare-const tptp.r1 (-> $$unsorted $$unsorted Bool))
% 0.17/0.61  (declare-const tptp.p201 (-> $$unsorted Bool))
% 0.17/0.61  (declare-const tptp.p101 (-> $$unsorted Bool))
% 0.17/0.61  (define @t1 () (@var "Y" $$unsorted))
% 0.17/0.61  (define @t2 () (tptp.p101 @t1))
% 0.17/0.61  (define @t3 () (tptp.p201 @t1))
% 0.17/0.61  (define @t4 () (@var "X" $$unsorted))
% 0.17/0.61  (define @t5 () (not (tptp.r1 @t4 @t1)))
% 0.17/0.61  (define @t6 () (or @t5 (not (and @t3 @t2))))
% 0.17/0.61  (define @t7 () (@list @t1))
% 0.17/0.61  (define @t8 () (forall @t7 @t6))
% 0.17/0.61  (define @t9 () (not @t8))
% 0.17/0.61  (define @t10 () (or @t9 @t8))
% 0.17/0.61  (define @t11 () (not @t10))
% 0.17/0.61  (define @t12 () (@list @t4))
% 0.17/0.61  (define @t13 () (exists @t12 @t11))
% 0.17/0.61  (define @t14 () (not @t2))
% 0.17/0.61  (define @t15 () (not @t3))
% 0.17/0.61  (define @t16 () (or @t5 @t15 @t14))
% 0.17/0.61  (define @t17 () (forall @t7 @t16))
% 0.17/0.61  (define @t18 () (or (not @t17) @t17))
% 0.17/0.61  (define @t19 () (not @t18))
% 0.17/0.61  (define @t20 () (forall @t12 (not @t19)))
% 0.17/0.61  (define @t21 () (not @t20))
% 0.17/0.61  (assume @p1 (not (not @t13)))
% 0.17/0.61  (assume @p2 true)
% 0.17/0.61  (step @p3 :rule evaluate :args ((not true)))
% 0.17/0.61  (step @p4 :rule quant-unused-vars :args ((= (forall @t12 true) true)))
% 0.17/0.61  (step @p5 :rule bool-or-taut2 :args (false @t17 false false))
% 0.17/0.61  (step @p6 :rule cong :premises (@p5) :args ((forall @t12 @t18)))
% 0.17/0.61  (step @p7 :rule trans :premises (@p6 @p4))
% 0.17/0.61  (step @p8 :rule bool-double-not-elim :args (@t18))
% 0.17/0.61  (step @p9 :rule cong :premises (@p8) :args (@t20))
% 0.17/0.61  (step @p10 :rule trans :premises (@p9 @p7))
% 0.17/0.61  (step @p11 :rule cong :premises (@p10) :args (@t21))
% 0.17/0.61  (step @p12 :rule trans :premises (@p11 @p3))
% 0.17/0.61  (step @p13 :rule exists-elim :args ((= (exists @t12 @t19) @t21)))
% 0.17/0.61  (step @p14 :rule trans :premises (@p13 @p12))
% 0.17/0.61  (step @p15 :rule aci_norm :args ((= (or @t5 (or @t15 @t14)) @t16)))
% 0.17/0.61  (step @p16 :rule bool-and-de-morgan :args (@t3 @t2 true))
% 0.17/0.61  (step @p17 :rule refl :args (@t5))
% 0.17/0.61  (step @p18 :rule nary_cong :premises (@p17 @p16) :args (@t6))
% 0.17/0.61  (step @p19 :rule trans :premises (@p18 @p15))
% 0.17/0.61  (step @p20 :rule cong :premises (@p19) :args (@t8))
% 0.17/0.61  (step @p21 :rule cong :premises (@p20) :args (@t9))
% 0.17/0.61  (step @p22 :rule nary_cong :premises (@p21 @p20) :args (@t10))
% 0.17/0.61  (step @p23 :rule cong :premises (@p22) :args (@t11))
% 0.17/0.61  (step @p24 :rule cong :premises (@p23) :args (@t13))
% 0.17/0.61  (step @p25 :rule trans :premises (@p24 @p14))
% 0.17/0.61  (step @p26 :rule bool-double-not-elim :args (@t13))
% 0.17/0.61  (step @p27 :rule trans :premises (@p26 @p25))
% 0.17/0.61  (step @p28 false :rule eq_resolve :premises (@p1 @p27))
% 0.17/0.61  )
% 0.17/0.61  % SZS output end Proof
% 0.17/0.61  % cvc5 exiting
%------------------------------------------------------------------------------