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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : NUM781^2 : TPTP v9.2.1. Released v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n013.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 08:40:38 AM UTC 2026

% Result   : Theorem 0.26s 0.55s
% Output   : Proof 0.26s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM781^2 : TPTP v9.2.1. Released v5.1.0.
% 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 : n013.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 : Tue Jun  2 12:18:15 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.26/0.50  %----Proving TH0
% 0.26/0.55  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.26/0.55  % SZS status Theorem
% 0.26/0.55  % SZS output start Proof
% 0.26/0.55  (
% 0.26/0.55  (declare-sort tptp.a 0)
% 0.26/0.55  (define @t1 () (@var "A" tptp.a))
% 0.26/0.55  (define @t2 () (@var "B" tptp.a))
% 0.26/0.55  (define @t3 () (= @t1 @t2))
% 0.26/0.55  (define @t4 () (=> @t3 (= @t2 @t1)))
% 0.26/0.55  (define @t5 () (@list @t1 @t2))
% 0.26/0.55  (define @t6 () (forall @t5 @t4))
% 0.26/0.55  (define @t7 () (not @t6))
% 0.26/0.55  (assume @p1 @t7)
% 0.26/0.55  (assume @p2 true)
% 0.26/0.55  (step @p3 :rule evaluate :args ((not true)))
% 0.26/0.55  (step @p4 :rule quant-unused-vars :args ((= (forall @t5 true) true)))
% 0.26/0.55  (step @p5 :rule bool-or-taut2 :args (false @t3 false false))
% 0.26/0.55  (step @p6 :rule bool-impl-elim :args (@t3 @t3))
% 0.26/0.55  (step @p7 :rule trans :premises (@p6 @p5))
% 0.26/0.55  (step @p8 :rule cong :premises (@p7) :args ((forall @t5 (=> @t3 @t3))))
% 0.26/0.55  (step @p9 :rule trans :premises (@p8 @p4))
% 0.26/0.55  (step @p10 :rule eq-symm :args (@t2 @t1))
% 0.26/0.55  (step @p11 :rule refl :args (@t3))
% 0.26/0.55  (step @p12 :rule cong :premises (@p11 @p10) :args (@t4))
% 0.26/0.55  (step @p13 :rule cong :premises (@p12) :args (@t6))
% 0.26/0.55  (step @p14 :rule trans :premises (@p13 @p9))
% 0.26/0.55  (step @p15 :rule cong :premises (@p14) :args (@t7))
% 0.26/0.55  (step @p16 :rule trans :premises (@p15 @p3))
% 0.26/0.55  (step @p17 false :rule eq_resolve :premises (@p1 @p16))
% 0.26/0.55  )
% 0.26/0.55  % SZS output end Proof
% 0.26/0.55  % cvc5 exiting
%------------------------------------------------------------------------------