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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : NUM668^1 : 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 : n019.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 08:40:18 AM UTC 2026

% Result   : Theorem 0.30s 0.58s
% Output   : Proof 0.30s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM668^1 : TPTP v9.2.1. Released v3.7.0.
% 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 : n019.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 11:49:04 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.30/0.49  %----Proving TH0
% 0.30/0.58  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.30/0.58  % SZS status Theorem
% 0.30/0.58  % SZS output start Proof
% 0.30/0.58  (
% 0.30/0.58  (declare-sort tptp.nat 0)
% 0.30/0.58  (declare-const tptp.y tptp.nat)
% 0.30/0.58  (declare-const tptp.pl (-> tptp.nat tptp.nat tptp.nat))
% 0.30/0.58  (declare-const tptp.x tptp.nat)
% 0.30/0.58  (define @t1 () (@var "Xx_0" tptp.nat))
% 0.30/0.58  (define @t2 () (_ tptp.pl tptp.x))
% 0.30/0.58  (define @t3 () (_ @t2 @t1))
% 0.30/0.58  (define @t4 () (_ @t2 tptp.y))
% 0.30/0.58  (define @t5 () (= @t4 @t3))
% 0.30/0.58  (define @t6 () (not @t5))
% 0.30/0.58  (define @t7 () (@list @t1))
% 0.30/0.58  (define @t8 () (forall @t7 @t6))
% 0.30/0.58  (define @t9 () (tptp.pl tptp.x @t1))
% 0.30/0.58  (define @t10 () (tptp.pl tptp.x tptp.y))
% 0.30/0.58  (define @t11 () (forall @t7 (not (= @t10 @t9))))
% 0.30/0.58  (define @t12 () (not (= @t10 @t10)))
% 0.30/0.58  (assume @p1 (not (not @t8)))
% 0.30/0.58  (assume @p2 true)
% 0.30/0.58  (step @p3 :rule refl :args (@t9))
% 0.30/0.58  (step @p4 :rule refl :args (@t3))
% 0.30/0.58  (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t3 @t9)))
% 0.30/0.58  (step @p6 :rule symm :premises (@p5))
% 0.30/0.58  (step @p7 :rule eq_resolve :premises (@p4 @p6))
% 0.30/0.58  (step @p8 :rule refl :args (@t10))
% 0.30/0.58  (step @p9 :rule refl :args (@t4))
% 0.30/0.58  (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t4 @t10)))
% 0.30/0.58  (step @p11 :rule symm :premises (@p10))
% 0.30/0.58  (step @p12 :rule eq_resolve :premises (@p9 @p11))
% 0.30/0.58  (step @p13 :rule cong :premises (@p12 @p7) :args (@t5))
% 0.30/0.58  (step @p14 :rule cong :premises (@p13) :args (@t6))
% 0.30/0.58  (step @p15 :rule cong :premises (@p14) :args (@t8))
% 0.30/0.58  (step @p16 :rule bool-double-not-elim :args (@t8))
% 0.30/0.58  (step @p17 :rule trans :premises (@p16 @p15))
% 0.30/0.58  (step @p18 :rule eq_resolve :premises (@p1 @p17))
% 0.30/0.58  (step @p19 :rule bool-impl-false1 :args (@t11))
% 0.30/0.58  (step @p20 :rule evaluate :args ((not true)))
% 0.30/0.58  (step @p21 :rule eq-refl :args (@t10))
% 0.30/0.58  (step @p22 :rule cong :premises (@p21) :args (@t12))
% 0.30/0.58  (step @p23 :rule trans :premises (@p22 @p20))
% 0.30/0.58  (step @p24 :rule refl :args (@t11))
% 0.30/0.58  (step @p25 :rule cong :premises (@p24 @p23) :args ((=> @t11 @t12)))
% 0.30/0.58  (step @p26 :rule trans :premises (@p25 @p19))
% 0.30/0.58  (assume-push @p33 @t11)
% 0.30/0.58  (step @p28 :rule instantiate :premises (@p18) :args ((@list tptp.y)))
% 0.30/0.58  (step-pop @p34 :rule scope :premises (@p28))
% 0.30/0.58  (step @p29 :rule process_scope :premises (@p34) :args (@t12))
% 0.30/0.58  (step @p31 :rule eq_resolve :premises (@p29 @p26))
% 0.30/0.58  (step @p32 false :rule chain_m_resolution :premises (@p31 @p18) :args (false (@list false) (@list @t11)))
% 0.30/0.58  )
% 0.30/0.58  % SZS output end Proof
% 0.30/0.58  % cvc5 exiting
%------------------------------------------------------------------------------