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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYN064+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 : n015.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 09:07:57 AM UTC 2026

% Result   : Theorem 0.33s 0.56s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN064+1 : TPTP v9.2.1. Released v2.0.0.
% 0.13/0.14  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.35  % Computer : n015.cluster.edu
% 0.19/0.35  % Model    : x86_64 x86_64
% 0.19/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.35  % Memory   : 8042.1875MB
% 0.19/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.35  % CPULimit : 300
% 0.19/0.35  % WCLimit  : 300
% 0.19/0.35  % DateTime : Tue Jun  2 23:20:04 EDT 2026
% 0.19/0.35  % CPUTime  : 
% 0.33/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.33/0.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.33/0.56  % SZS status Theorem
% 0.33/0.56  % SZS output start Proof
% 0.33/0.56  (
% 0.33/0.56  (declare-sort $$unsorted 0)
% 0.33/0.56  (declare-const tptp.big_p (-> $$unsorted $$unsorted Bool))
% 0.33/0.56  (define @t1 () (@var "W" $$unsorted))
% 0.33/0.56  (define @t2 () (@var "Z" $$unsorted))
% 0.33/0.56  (define @t3 () (forall (@list @t2 @t1) (tptp.big_p @t2 @t1)))
% 0.33/0.56  (define @t4 () (@var "Y" $$unsorted))
% 0.33/0.56  (define @t5 () (@var "X" $$unsorted))
% 0.33/0.56  (define @t6 () (tptp.big_p @t5 @t4))
% 0.33/0.56  (define @t7 () (=> @t6 @t3))
% 0.33/0.56  (define @t8 () (@list @t5 @t4))
% 0.33/0.56  (define @t9 () (exists @t8 @t7))
% 0.33/0.56  (define @t10 () (not @t9))
% 0.33/0.56  (define @t11 () (not @t3))
% 0.33/0.56  (define @t12 () (@var "BOUND_VARIABLE_7429" $$unsorted))
% 0.33/0.56  (define @t13 () (@var "BOUND_VARIABLE_7427" $$unsorted))
% 0.33/0.56  (define @t14 () (forall (@list @t13 @t12) (tptp.big_p @t13 @t12)))
% 0.33/0.56  (define @t15 () (forall @t8 @t11))
% 0.33/0.56  (define @t16 () (forall @t8 @t6))
% 0.33/0.56  (define @t17 () (@list @t13 @t12))
% 0.33/0.56  (define @t18 () (and @t16 @t15))
% 0.33/0.56  (define @t19 () (forall @t8 (not @t7)))
% 0.33/0.56  (define @t20 () (not @t19))
% 0.33/0.56  (define @t21 () (@list false))
% 0.33/0.56  (assume @p1 @t10)
% 0.33/0.56  (assume @p2 true)
% 0.33/0.56  (step @p3 :rule bool-double-not-elim :args ((and @t14 @t11)))
% 0.33/0.56  (step @p4 :rule quant-unused-vars :args ((= @t15 @t11)))
% 0.33/0.56  (step @p5 :rule alpha_equiv :args (@t16 (@list @t5 @t4) @t17))
% 0.33/0.56  (step @p6 :rule nary_cong :premises (@p5 @p4) :args (@t18))
% 0.33/0.56  (step @p7 :rule quant-miniscope-and :args ((= (forall @t8 (and @t6 @t11)) @t18)))
% 0.33/0.56  (step @p8 :rule trans :premises (@p7 @p6))
% 0.33/0.56  (step @p9 :rule bool-implies-de-morgan :args (@t6 @t3))
% 0.33/0.56  (step @p10 :rule cong :premises (@p9) :args (@t19))
% 0.33/0.56  (step @p11 :rule trans :premises (@p10 @p8))
% 0.33/0.56  (step @p12 :rule cong :premises (@p11) :args (@t20))
% 0.33/0.56  (step @p13 :rule exists-elim :args ((= @t9 @t20)))
% 0.33/0.56  (step @p14 :rule trans :premises (@p13 @p12))
% 0.33/0.56  (step @p15 :rule cong :premises (@p14) :args (@t10))
% 0.33/0.56  (step @p16 :rule trans :premises (@p15 @p3))
% 0.33/0.56  (step @p17 :rule eq_resolve :premises (@p1 @p16))
% 0.33/0.56  (step @p18 :rule and_elim :premises (@p17) :args (0))
% 0.33/0.56  (step @p19 :rule alpha_equiv :args (@t14 @t17 (@list @t2 @t1)))
% 0.33/0.56  (step @p20 :rule symm :premises (@p19))
% 0.33/0.56  (step @p21 :rule equiv_elim2 :premises (@p20))
% 0.33/0.56  (step @p22 :rule chain_m_resolution :premises (@p21 @p18) :args (@t3 @t21 (@list @t14)))
% 0.33/0.56  (step @p23 :rule and_elim :premises (@p17) :args (1))
% 0.33/0.56  (step @p24 false :rule chain_m_resolution :premises (@p23 @p22) :args (false @t21 (@list @t3)))
% 0.33/0.56  )
% 0.33/0.56  % SZS output end Proof
% 0.33/0.56  % cvc5 exiting
%------------------------------------------------------------------------------