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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : NUM671^1 : TPTP v9.2.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n025.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 08:40:19 AM UTC 2026

% Result   : Theorem 0.32s 0.55s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM671^1 : TPTP v9.2.1. Released v3.7.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n025.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Jun  2 11:50:01 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.32/0.49  %----Proving TH0
% 0.32/0.55  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.32/0.55  % SZS status Theorem
% 0.32/0.55  % SZS output start Proof
% 0.32/0.55  (
% 0.32/0.55  (declare-sort tptp.nat 0)
% 0.32/0.55  (declare-const tptp.pl (-> tptp.nat tptp.nat tptp.nat))
% 0.32/0.55  (declare-const tptp.z tptp.nat)
% 0.32/0.55  (declare-const tptp.x tptp.nat)
% 0.32/0.55  (declare-const tptp.y tptp.nat)
% 0.32/0.55  (define @t1 () (_ (_ tptp.pl tptp.y) tptp.z))
% 0.32/0.55  (define @t2 () (= (_ (_ tptp.pl tptp.x) tptp.z) @t1))
% 0.32/0.55  (define @t3 () (not @t2))
% 0.32/0.55  (assume @p1 (= tptp.x tptp.y))
% 0.32/0.55  (assume @p2 @t3)
% 0.32/0.55  (assume @p3 true)
% 0.32/0.55  (step @p4 :rule evaluate :args ((not true)))
% 0.32/0.55  (step @p5 :rule eq-refl :args (@t1))
% 0.32/0.55  (step @p6 :rule cong :premises (@p5) :args ((not (= @t1 @t1))))
% 0.32/0.55  (step @p7 :rule trans :premises (@p6 @p4))
% 0.32/0.55  (step @p8 :rule refl :args (@t1))
% 0.32/0.55  (step @p9 :rule refl :args (tptp.z))
% 0.32/0.55  (step @p10 :rule refl :args (tptp.pl))
% 0.32/0.55  (step @p11 :rule ho_cong :premises (@p10 @p1))
% 0.32/0.55  (step @p12 :rule ho_cong :premises (@p11 @p9))
% 0.32/0.55  (step @p13 :rule cong :premises (@p12 @p8) :args (@t2))
% 0.32/0.55  (step @p14 :rule cong :premises (@p13) :args (@t3))
% 0.32/0.55  (step @p15 :rule trans :premises (@p14 @p7))
% 0.32/0.55  (step @p16 false :rule eq_resolve :premises (@p2 @p15))
% 0.32/0.55  )
% 0.32/0.55  % SZS output end Proof
% 0.32/0.55  % cvc5 exiting
%------------------------------------------------------------------------------