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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYO526^1 : TPTP v9.2.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n006.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 09:13:04 AM UTC 2026

% Result   : Theorem 0.30s 0.56s
% Output   : Proof 0.30s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SYO526^1 : TPTP v9.2.1. Released v5.2.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.35  % Computer : n006.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit : 300
% 0.18/0.35  % WCLimit  : 300
% 0.18/0.35  % DateTime : Wed Jun  3 00:19:19 EDT 2026
% 0.18/0.35  % CPUTime  : 
% 0.30/0.51  %----Proving TH0
% 0.30/0.56  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.30/0.56  % SZS status Theorem
% 0.30/0.56  % SZS output start Proof
% 0.30/0.56  (
% 0.30/0.56  (declare-sort $$unsorted 0)
% 0.30/0.56  (declare-const tptp.a Bool)
% 0.30/0.56  (declare-const tptp.g (-> $$unsorted Bool))
% 0.30/0.56  (declare-const tptp.b Bool)
% 0.30/0.56  (define tptp.f () (lambda (@list (@var "X" $$unsorted)) tptp.a))
% 0.30/0.56  (define @t1 () (= tptp.f tptp.g))
% 0.30/0.56  (define @t2 () (@list (@var "X" $$unsorted)))
% 0.30/0.56  (define @t3 () (lambda @t2 tptp.b))
% 0.30/0.56  (define @t4 () (= tptp.g @t3))
% 0.30/0.56  (define @t5 () (not @t4))
% 0.30/0.56  (define @t6 () (lambda @t2 tptp.a))
% 0.30/0.56  (assume @p1 (= tptp.a tptp.b))
% 0.30/0.56  (assume @p2 @t1)
% 0.30/0.56  (assume @p3 @t5)
% 0.30/0.56  (assume @p4 true)
% 0.30/0.56  (step @p5 (= tptp.f @t6) :rule refl :args (@t6))
% 0.30/0.56  (step @p6 :rule evaluate :args ((not true)))
% 0.30/0.56  (step @p7 :rule eq-refl :args (@t3))
% 0.30/0.56  (step @p8 :rule cong :premises (@p7) :args ((not (= @t3 @t3))))
% 0.30/0.56  (step @p9 :rule trans :premises (@p8 @p6))
% 0.30/0.56  (step @p10 :rule refl :args (@t3))
% 0.30/0.56  (step @p11 :rule cong :premises (@p1) :args (@t6))
% 0.30/0.56  (step @p12 :rule refl :args (tptp.g))
% 0.30/0.56  (step @p13 :rule cong :premises (@p12 @p11) :args ((= tptp.g @t6)))
% 0.30/0.56  (step @p14 :rule eq-symm :args (@t6 tptp.g))
% 0.30/0.56  (step @p15 :rule cong :premises (@p5 @p12) :args (@t1))
% 0.30/0.56  (step @p16 :rule trans :premises (@p15 @p14))
% 0.30/0.56  (step @p17 :rule eq_resolve :premises (@p2 @p16))
% 0.30/0.56  (step @p18 :rule eq_resolve :premises (@p17 @p13))
% 0.30/0.56  (step @p19 :rule cong :premises (@p18 @p10) :args (@t4))
% 0.30/0.56  (step @p20 :rule cong :premises (@p19) :args (@t5))
% 0.30/0.56  (step @p21 :rule trans :premises (@p20 @p9))
% 0.30/0.56  (step @p22 false :rule eq_resolve :premises (@p3 @p21))
% 0.30/0.56  )
% 0.30/0.56  % SZS output end Proof
% 0.30/0.56  % cvc5 exiting
%------------------------------------------------------------------------------