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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SET604^5 : TPTP v9.2.1. 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 : 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 08:48:11 AM UTC 2026

% Result   : Theorem 0.36s 0.57s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SET604^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n013.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Tue Jun  2 16:04:15 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.28/0.50  %----Proving TH0
% 0.36/0.57  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.36/0.57  % SZS status Theorem
% 0.36/0.57  % SZS output start Proof
% 0.36/0.57  (
% 0.36/0.57  (declare-sort tptp.a 0)
% 0.36/0.57  (define @t1 () (@var "Xx" tptp.a))
% 0.36/0.57  (define @t2 () (@list @t1))
% 0.36/0.57  (define @t3 () (lambda @t2 false))
% 0.36/0.57  (define @t4 () (@var "X" (-> tptp.a Bool)))
% 0.36/0.57  (define @t5 () (and false (not (_ @t4 @t1))))
% 0.36/0.57  (define @t6 () (lambda @t2 @t5))
% 0.36/0.57  (define @t7 () (= @t6 @t3))
% 0.36/0.57  (define @t8 () (@list @t4))
% 0.36/0.57  (define @t9 () (forall @t8 @t7))
% 0.36/0.57  (define @t10 () (not @t9))
% 0.36/0.57  (define @t11 () (@var "BOUND_VARIABLE_7466" tptp.a))
% 0.36/0.57  (define @t12 () (lambda (@list @t11) false))
% 0.36/0.57  (assume @p1 @t10)
% 0.36/0.57  (assume @p2 true)
% 0.36/0.57  (step @p3 :rule evaluate :args ((not true)))
% 0.36/0.57  (step @p4 :rule quant-unused-vars :args ((= (forall @t8 true) true)))
% 0.36/0.57  (step @p5 :rule eq-refl :args (@t12))
% 0.36/0.57  (step @p6 :rule refl :args (@t12))
% 0.36/0.57  (step @p7 :rule symm :premises (@p6))
% 0.36/0.57  (step @p8 :rule alpha_equiv :args (@t3 (@list @t1) (@list @t11)))
% 0.36/0.57  (step @p9 :rule trans :premises (@p8 @p7))
% 0.36/0.57  (step @p10 :rule absorb :args ((= @t5 false)))
% 0.36/0.57  (step @p11 :rule cong :premises (@p10) :args (@t6))
% 0.36/0.57  (step @p12 :rule trans :premises (@p11 @p9))
% 0.36/0.57  (step @p13 :rule cong :premises (@p12 @p9) :args (@t7))
% 0.36/0.57  (step @p14 :rule trans :premises (@p13 @p5))
% 0.36/0.57  (step @p15 :rule cong :premises (@p14) :args (@t9))
% 0.36/0.57  (step @p16 :rule trans :premises (@p15 @p4))
% 0.36/0.57  (step @p17 :rule cong :premises (@p16) :args (@t10))
% 0.36/0.57  (step @p18 :rule trans :premises (@p17 @p3))
% 0.36/0.57  (step @p19 false :rule eq_resolve :premises (@p1 @p18))
% 0.36/0.57  )
% 0.36/0.57  % SZS output end Proof
% 0.36/0.57  % cvc5 exiting
%------------------------------------------------------------------------------