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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEV383^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n005.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 08:55:52 AM UTC 2026

% Result   : Theorem 0.38s 0.58s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEV383^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n005.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 18:31:18 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.32/0.49  %----Proving TH0
% 0.38/0.58  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.38/0.58  % SZS status Theorem
% 0.38/0.58  % SZS output start Proof
% 0.38/0.58  (
% 0.38/0.58  (declare-sort $$unsorted 0)
% 0.38/0.58  (declare-const tptp.a $$unsorted)
% 0.38/0.58  (define @t1 () (@var "A" (-> $$unsorted Bool)))
% 0.38/0.58  (define @t2 () (_ @t1 tptp.a))
% 0.38/0.58  (define @t3 () (not @t2))
% 0.38/0.58  (define @t4 () (@list @t1))
% 0.38/0.58  (define @t5 () (exists @t4 @t3))
% 0.38/0.58  (define @t6 () (not @t5))
% 0.38/0.58  (define @t7 () (_ @t1 tptp.a))
% 0.38/0.58  (define @t8 () (forall @t4 @t7))
% 0.38/0.58  (define @t9 () (forall @t4 (not @t3)))
% 0.38/0.58  (define @t10 () (not @t9))
% 0.38/0.58  (define @t11 () (lambda (@list (@var "BOUND_VARIABLE_14440" $$unsorted)) false))
% 0.38/0.58  (define @t12 () (_ @t11 tptp.a))
% 0.38/0.58  (assume @p1 @t6)
% 0.38/0.58  (assume @p2 true)
% 0.38/0.58  (step @p3 :rule bool-double-not-elim :args (@t8))
% 0.38/0.58  (step @p4 :rule refl :args (@t7))
% 0.38/0.58  (step @p5 :rule refl :args (@t2))
% 0.38/0.58  (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t2 @t7)))
% 0.38/0.58  (step @p7 :rule symm :premises (@p6))
% 0.38/0.58  (step @p8 :rule eq_resolve :premises (@p5 @p7))
% 0.38/0.58  (step @p9 :rule cong :premises (@p8) :args ((forall @t4 @t2)))
% 0.38/0.58  (step @p10 :rule bool-double-not-elim :args (@t2))
% 0.38/0.58  (step @p11 :rule cong :premises (@p10) :args (@t9))
% 0.38/0.58  (step @p12 :rule trans :premises (@p11 @p9))
% 0.38/0.58  (step @p13 :rule cong :premises (@p12) :args (@t10))
% 0.38/0.58  (step @p14 :rule exists-elim :args ((= @t5 @t10)))
% 0.38/0.58  (step @p15 :rule trans :premises (@p14 @p13))
% 0.38/0.58  (step @p16 :rule cong :premises (@p15) :args (@t6))
% 0.38/0.58  (step @p17 :rule trans :premises (@p16 @p3))
% 0.38/0.58  (step @p18 :rule eq_resolve :premises (@p1 @p17))
% 0.38/0.58  (step @p19 :rule bool-impl-false1 :args (@t8))
% 0.38/0.58  (step @p20 :rule beta-reduce :args ((= @t12 false)))
% 0.38/0.58  (step @p21 :rule refl :args (@t8))
% 0.38/0.58  (step @p22 :rule cong :premises (@p21 @p20) :args ((=> @t8 @t12)))
% 0.38/0.58  (step @p23 :rule trans :premises (@p22 @p19))
% 0.38/0.58  (assume-push @p30 @t8)
% 0.38/0.58  (step @p25 :rule instantiate :premises (@p18) :args ((@list @t11)))
% 0.38/0.58  (step-pop @p31 :rule scope :premises (@p25))
% 0.38/0.58  (step @p26 :rule process_scope :premises (@p31) :args (@t12))
% 0.38/0.58  (step @p28 :rule eq_resolve :premises (@p26 @p23))
% 0.38/0.58  (step @p29 false :rule chain_m_resolution :premises (@p28 @p18) :args (false (@list false) (@list @t8)))
% 0.38/0.58  )
% 0.38/0.58  % SZS output end Proof
% 0.38/0.58  % cvc5 exiting
%------------------------------------------------------------------------------