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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : LCL664+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 : n001.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 11:23:25 AM UTC 2026

% Result   : Theorem 0.21s 0.50s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL664+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
% 0.10/0.37  % Computer : n001.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sun Sep  6 01:45:18 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.44  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.21/0.50  % SZS status Theorem
% 0.21/0.50  % SZS output start Proof
% 0.21/0.50  (
% 0.21/0.50  (declare-sort $$unsorted 0)
% 0.21/0.50  (declare-const tptp.p16 (-> $$unsorted Bool))
% 0.21/0.50  (declare-const tptp.p14 (-> $$unsorted Bool))
% 0.21/0.50  (declare-const tptp.p15 (-> $$unsorted Bool))
% 0.21/0.50  (declare-const tptp.p13 (-> $$unsorted Bool))
% 0.21/0.50  (declare-const tptp.p12 (-> $$unsorted Bool))
% 0.21/0.50  (declare-const tptp.p11 (-> $$unsorted Bool))
% 0.21/0.50  (declare-const tptp.r1 (-> $$unsorted $$unsorted Bool))
% 0.21/0.50  (define @t1 () (@var "X" $$unsorted))
% 0.21/0.50  (define @t2 () (@list @t1))
% 0.21/0.50  (define @t3 () (@var "Y" $$unsorted))
% 0.21/0.50  (define @t4 () (not (tptp.r1 @t1 @t3)))
% 0.21/0.50  (define @t5 () (@list @t3))
% 0.21/0.50  (define @t6 () (forall @t5 (or @t4 (tptp.p11 @t3))))
% 0.21/0.50  (define @t7 () (forall @t5 (or @t4 (tptp.p12 @t3))))
% 0.21/0.50  (define @t8 () (forall @t5 (or @t4 (tptp.p13 @t3))))
% 0.21/0.50  (define @t9 () (forall @t5 (or @t4 (tptp.p15 @t3))))
% 0.21/0.50  (define @t10 () (not @t7))
% 0.21/0.50  (define @t11 () (not (forall @t5 (or @t4 (tptp.p14 @t3)))))
% 0.21/0.50  (define @t12 () (not (forall @t5 (or @t4 (tptp.p16 @t3)))))
% 0.21/0.50  (define @t13 () (or @t12 @t10 @t11 @t10 @t9 @t8 @t7 @t6))
% 0.21/0.50  (define @t14 () (not @t13))
% 0.21/0.50  (define @t15 () (exists @t2 @t14))
% 0.21/0.50  (define @t16 () (forall @t2 (not @t14)))
% 0.21/0.50  (define @t17 () (not @t16))
% 0.21/0.50  (assume @p1 (forall @t2 (tptp.r1 @t1 @t1)))
% 0.21/0.50  (assume @p2 (not (not @t15)))
% 0.21/0.50  (assume @p3 true)
% 0.21/0.50  (step @p4 :rule evaluate :args ((not true)))
% 0.21/0.50  (step @p5 :rule quant-unused-vars :args ((= (forall @t2 true) true)))
% 0.21/0.50  (step @p6 :rule bool-or-taut2 :args ((or @t12) @t7 (or @t11 @t10 @t9 @t8) (or @t6)))
% 0.21/0.50  (step @p7 :rule cong :premises (@p6) :args ((forall @t2 @t13)))
% 0.21/0.50  (step @p8 :rule trans :premises (@p7 @p5))
% 0.21/0.50  (step @p9 :rule bool-double-not-elim :args (@t13))
% 0.21/0.50  (step @p10 :rule cong :premises (@p9) :args (@t16))
% 0.21/0.50  (step @p11 :rule trans :premises (@p10 @p8))
% 0.21/0.50  (step @p12 :rule cong :premises (@p11) :args (@t17))
% 0.21/0.50  (step @p13 :rule trans :premises (@p12 @p4))
% 0.21/0.50  (step @p14 :rule exists-elim :args ((= @t15 @t17)))
% 0.21/0.50  (step @p15 :rule trans :premises (@p14 @p13))
% 0.21/0.50  (step @p16 :rule bool-double-not-elim :args (@t15))
% 0.21/0.50  (step @p17 :rule trans :premises (@p16 @p15))
% 0.21/0.50  (step @p18 false :rule eq_resolve :premises (@p2 @p17))
% 0.21/0.50  )
% 0.21/0.50  % SZS output end Proof
% 0.21/0.50  % cvc5 exiting
%------------------------------------------------------------------------------