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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYN946+1 : TPTP v9.2.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n004.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 09:10:07 AM UTC 2026

% Result   : Theorem 0.37s 0.56s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SYN946+1 : TPTP v9.2.1. Released v3.1.0.
% 0.11/0.14  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n004.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Tue Jun  2 23:49:53 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.31/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.37/0.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.37/0.56  % SZS status Theorem
% 0.37/0.56  % SZS output start Proof
% 0.37/0.56  (
% 0.37/0.56  (declare-sort $$unsorted 0)
% 0.37/0.56  (declare-const tptp.q (-> $$unsorted Bool))
% 0.37/0.56  (declare-const tptp.p (-> $$unsorted Bool))
% 0.37/0.56  (declare-const tptp.r (-> $$unsorted Bool))
% 0.37/0.56  (define @t1 () (@var "Z" $$unsorted))
% 0.37/0.56  (define @t2 () (tptp.r @t1))
% 0.37/0.56  (define @t3 () (@var "Y" $$unsorted))
% 0.37/0.56  (define @t4 () (tptp.p @t3))
% 0.37/0.56  (define @t5 () (or @t4 @t2))
% 0.37/0.56  (define @t6 () (@list @t3))
% 0.37/0.56  (define @t7 () (forall @t6 @t5))
% 0.37/0.56  (define @t8 () (@list @t1))
% 0.37/0.56  (define @t9 () (exists @t8 @t7))
% 0.37/0.56  (define @t10 () (tptp.q @t3))
% 0.37/0.56  (define @t11 () (exists @t6 @t10))
% 0.37/0.56  (define @t12 () (@var "X" $$unsorted))
% 0.37/0.56  (define @t13 () (forall (@list @t12) (tptp.p @t12)))
% 0.37/0.56  (define @t14 () (and @t13 @t11))
% 0.37/0.56  (define @t15 () (=> @t14 @t9))
% 0.37/0.56  (define @t16 () (not @t15))
% 0.37/0.56  (define @t17 () (forall @t6 @t4))
% 0.37/0.56  (define @t18 () (not @t17))
% 0.37/0.56  (define @t19 () (forall @t8 @t18))
% 0.37/0.56  (define @t20 () (not @t2))
% 0.37/0.56  (define @t21 () (forall @t8 @t20))
% 0.37/0.56  (define @t22 () (and @t21 @t19))
% 0.37/0.56  (define @t23 () (or @t2 @t17))
% 0.37/0.56  (define @t24 () (forall @t8 (not @t23)))
% 0.37/0.56  (define @t25 () (not @t24))
% 0.37/0.56  (define @t26 () (or @t2 @t4))
% 0.37/0.56  (define @t27 () (@list false))
% 0.37/0.56  (assume @p1 @t16)
% 0.37/0.56  (assume @p2 true)
% 0.37/0.56  (step @p3 :rule quant-unused-vars :args ((= @t19 @t18)))
% 0.37/0.56  (step @p4 :rule alpha_equiv :args (@t21 (@list @t1) (@list (@var "BOUND_VARIABLE_7443" $$unsorted))))
% 0.37/0.56  (step @p5 :rule nary_cong :premises (@p4 @p3) :args (@t22))
% 0.37/0.56  (step @p6 :rule quant-miniscope-and :args ((= (forall @t8 (and @t20 @t18)) @t22)))
% 0.37/0.56  (step @p7 :rule trans :premises (@p6 @p5))
% 0.37/0.56  (step @p8 :rule bool-or-de-morgan :args (@t2 @t17 false))
% 0.37/0.56  (step @p9 :rule cong :premises (@p8) :args (@t24))
% 0.37/0.56  (step @p10 :rule trans :premises (@p9 @p7))
% 0.37/0.56  (step @p11 :rule cong :premises (@p10) :args (@t25))
% 0.37/0.56  (step @p12 :rule exists-elim :args ((= (exists @t8 @t23) @t25)))
% 0.37/0.56  (step @p13 :rule trans :premises (@p12 @p11))
% 0.37/0.56  (step @p14 :rule quant-miniscope-or :args ((= (forall @t6 @t26) @t23)))
% 0.37/0.56  (step @p15 :rule aci_norm :args ((= @t5 @t26)))
% 0.37/0.56  (step @p16 :rule cong :premises (@p15) :args (@t7))
% 0.37/0.56  (step @p17 :rule trans :premises (@p16 @p14))
% 0.37/0.56  (step @p18 :rule cong :premises (@p17) :args (@t9))
% 0.37/0.56  (step @p19 :rule trans :premises (@p18 @p13))
% 0.37/0.56  (step @p20 :rule exists-elim :args ((= @t11 (not (forall @t6 (not @t10))))))
% 0.37/0.56  (step @p21 :rule refl :args (@t13))
% 0.37/0.56  (step @p22 :rule nary_cong :premises (@p21 @p20) :args (@t14))
% 0.37/0.56  (step @p23 :rule cong :premises (@p22 @p19) :args (@t15))
% 0.37/0.56  (step @p24 :rule cong :premises (@p23) :args (@t16))
% 0.37/0.56  (step @p25 :rule eq_resolve :premises (@p1 @p24))
% 0.37/0.56  (step @p26 :rule not_implies_elim1 :premises (@p25))
% 0.37/0.56  (step @p27 :rule and_elim :premises (@p26) :args (0))
% 0.37/0.56  (step @p28 :rule alpha_equiv :args (@t13 (@list @t12) (@list @t3)))
% 0.37/0.56  (step @p29 :rule equiv_elim1 :premises (@p28))
% 0.37/0.56  (step @p30 :rule reordering :premises (@p29) :args ((or @t17 (not @t13))))
% 0.37/0.56  (step @p31 :rule chain_m_resolution :premises (@p30 @p27) :args (@t17 @t27 (@list @t13)))
% 0.37/0.56  (step @p32 :rule not_implies_elim2 :premises (@p25))
% 0.37/0.56  (step @p33 :rule not_not_elim :premises (@p32))
% 0.37/0.56  (step @p34 :rule and_elim :premises (@p33) :args (1))
% 0.37/0.56  (step @p35 false :rule chain_m_resolution :premises (@p34 @p31) :args (false @t27 (@list @t17)))
% 0.37/0.56  )
% 0.37/0.56  % SZS output end Proof
% 0.37/0.56  % cvc5 exiting
%------------------------------------------------------------------------------