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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYN411+1 : TPTP v9.2.1. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n021.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 09:08:49 AM UTC 2026

% Result   : Theorem 0.26s 0.54s
% Output   : Proof 0.26s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN411+1 : TPTP v9.2.1. Released v2.0.0.
% 0.00/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n021.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Tue Jun  2 23:28:20 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.26/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.26/0.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.26/0.54  % SZS status Theorem
% 0.26/0.54  % SZS output start Proof
% 0.26/0.54  (
% 0.26/0.54  (declare-sort $$unsorted 0)
% 0.26/0.54  (declare-const tptp.f (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.26/0.54  (define @t1 () (@var "W" $$unsorted))
% 0.26/0.54  (define @t2 () (@var "V" $$unsorted))
% 0.26/0.54  (define @t3 () (@var "U" $$unsorted))
% 0.26/0.54  (define @t4 () (tptp.f @t3 @t2 @t1))
% 0.26/0.54  (define @t5 () (not @t4))
% 0.26/0.54  (define @t6 () (@list @t3 @t2 @t1))
% 0.26/0.54  (define @t7 () (exists @t6 @t5))
% 0.26/0.54  (define @t8 () (not @t7))
% 0.26/0.54  (define @t9 () (@var "Z" $$unsorted))
% 0.26/0.54  (define @t10 () (@var "Y" $$unsorted))
% 0.26/0.54  (define @t11 () (@var "X" $$unsorted))
% 0.26/0.54  (define @t12 () (forall (@list @t11 @t10 @t9) (tptp.f @t11 @t10 @t9)))
% 0.26/0.54  (define @t13 () (= @t12 @t8))
% 0.26/0.54  (define @t14 () (not @t13))
% 0.26/0.54  (define @t15 () (forall @t6 @t4))
% 0.26/0.54  (define @t16 () (forall @t6 (not @t5)))
% 0.26/0.54  (define @t17 () (not @t16))
% 0.26/0.54  (define @t18 () (not @t12))
% 0.26/0.54  (assume @p1 @t14)
% 0.26/0.54  (assume @p2 true)
% 0.26/0.54  (step @p3 :rule alpha_equiv :args (@t12 (@list @t11 @t10 @t9) (@list @t3 @t2 @t1)))
% 0.26/0.54  (step @p4 :rule equiv_elim2 :premises (@p3))
% 0.26/0.54  (step @p5 :rule bool-double-not-elim :args (@t15))
% 0.26/0.54  (step @p6 :rule bool-double-not-elim :args (@t4))
% 0.26/0.54  (step @p7 :rule cong :premises (@p6) :args (@t16))
% 0.26/0.54  (step @p8 :rule cong :premises (@p7) :args (@t17))
% 0.26/0.54  (step @p9 :rule exists-elim :args ((= @t7 @t17)))
% 0.26/0.54  (step @p10 :rule trans :premises (@p9 @p8))
% 0.26/0.54  (step @p11 :rule cong :premises (@p10) :args (@t8))
% 0.26/0.54  (step @p12 :rule trans :premises (@p11 @p5))
% 0.26/0.54  (step @p13 :rule refl :args (@t12))
% 0.26/0.54  (step @p14 :rule cong :premises (@p13 @p12) :args (@t13))
% 0.26/0.54  (step @p15 :rule cong :premises (@p14) :args (@t14))
% 0.26/0.54  (step @p16 :rule eq_resolve :premises (@p1 @p15))
% 0.26/0.54  (step @p17 :rule not_equiv_elim1 :premises (@p16))
% 0.26/0.54  (step @p18 :rule chain_m_resolution :premises (@p17 @p4) :args (@t12 (@list true) (@list @t15)))
% 0.26/0.54  (step @p19 :rule equiv_elim1 :premises (@p3))
% 0.26/0.54  (step @p20 :rule reordering :premises (@p19) :args ((or @t15 @t18)))
% 0.26/0.54  (step @p21 :rule chain_m_resolution :premises (@p20 @p18) :args (@t15 (@list false) (@list @t12)))
% 0.26/0.54  (step @p22 :rule not_equiv_elim2 :premises (@p16))
% 0.26/0.54  (step @p23 :rule reordering :premises (@p22) :args ((or (not @t15) @t18)))
% 0.26/0.54  (step @p24 false :rule chain_m_resolution :premises (@p23 @p21 @p18) :args (false (@list false false) (@list @t15 @t12)))
% 0.26/0.54  )
% 0.26/0.54  % SZS output end Proof
% 0.26/0.54  % cvc5 exiting
%------------------------------------------------------------------------------