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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYN980+1 : TPTP v9.2.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n011.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 09:10:11 AM UTC 2026

% Result   : Theorem 0.30s 0.55s
% Output   : Proof 0.30s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SYN980+1 : TPTP v9.2.1. Released v3.1.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.33  % Computer : n011.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit : 300
% 0.15/0.33  % WCLimit  : 300
% 0.15/0.33  % DateTime : Tue Jun  2 23:50:20 EDT 2026
% 0.15/0.33  % CPUTime  : 
% 0.30/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.30/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.30/0.55  % SZS status Theorem
% 0.30/0.55  % SZS output start Proof
% 0.30/0.55  (
% 0.30/0.55  (declare-sort $$unsorted 0)
% 0.30/0.55  (declare-const tptp.r (-> $$unsorted Bool))
% 0.30/0.55  (declare-const tptp.p (-> $$unsorted $$unsorted Bool))
% 0.30/0.55  (declare-const tptp.f (-> $$unsorted $$unsorted))
% 0.30/0.55  (declare-const tptp.q (-> $$unsorted $$unsorted Bool))
% 0.30/0.55  (define @t1 () (@var "Y" $$unsorted))
% 0.30/0.55  (define @t2 () (@var "X" $$unsorted))
% 0.30/0.55  (define @t3 () (tptp.q @t2 @t1))
% 0.30/0.55  (define @t4 () (@var "B" $$unsorted))
% 0.30/0.55  (define @t5 () (tptp.q (tptp.f @t4) @t4))
% 0.30/0.55  (define @t6 () (=> @t5 @t3))
% 0.30/0.55  (define @t7 () (tptp.p @t2 @t1))
% 0.30/0.55  (define @t8 () (and @t7 @t6))
% 0.30/0.55  (define @t9 () (@list @t2 @t1))
% 0.30/0.55  (define @t10 () (exists @t9 @t8))
% 0.30/0.55  (define @t11 () (tptp.p (tptp.f @t1) @t1))
% 0.30/0.55  (define @t12 () (tptp.r @t1))
% 0.30/0.55  (define @t13 () (tptp.r @t4))
% 0.30/0.55  (define @t14 () (=> @t13 @t12))
% 0.30/0.55  (define @t15 () (@list @t1))
% 0.30/0.55  (define @t16 () (forall @t15 (=> @t14 @t11)))
% 0.30/0.55  (define @t17 () (=> @t16 @t10))
% 0.30/0.55  (define @t18 () (@list @t4))
% 0.30/0.55  (define @t19 () (forall @t18 @t17))
% 0.30/0.55  (define @t20 () (not @t19))
% 0.30/0.55  (define @t21 () (not @t12))
% 0.30/0.55  (define @t22 () (forall @t15 (or (and @t13 @t21) @t11)))
% 0.30/0.55  (define @t23 () (not @t3))
% 0.30/0.55  (define @t24 () (not @t7))
% 0.30/0.55  (define @t25 () (not (forall @t9 (or @t24 (and @t5 @t23)))))
% 0.30/0.55  (define @t26 () (forall @t9 (not @t8)))
% 0.30/0.55  (define @t27 () (not @t26))
% 0.30/0.55  (define @t28 () (@quantifiers_skolemize (forall @t18 (or (not @t22) @t25)) 0))
% 0.30/0.55  (define @t29 () (tptp.r @t28))
% 0.30/0.55  (define @t30 () (forall @t15 (or (and @t29 @t21) @t11)))
% 0.30/0.55  (define @t31 () (tptp.f @t28))
% 0.30/0.55  (define @t32 () (tptp.q @t31 @t28))
% 0.30/0.55  (define @t33 () (forall @t9 (or @t24 (and @t32 @t23))))
% 0.30/0.55  (define @t34 () (not @t33))
% 0.30/0.55  (define @t35 () (not @t30))
% 0.30/0.55  (define @t36 () (or @t35 @t34))
% 0.30/0.55  (define @t37 () (@list true))
% 0.30/0.55  (define @t38 () (@list @t36))
% 0.30/0.55  (define @t39 () (not @t32))
% 0.30/0.55  (define @t40 () (and @t32 @t39))
% 0.30/0.55  (define @t41 () (not @t40))
% 0.30/0.55  (define @t42 () (@list false))
% 0.30/0.55  (define @t43 () (tptp.p @t31 @t28))
% 0.30/0.55  (define @t44 () (not @t43))
% 0.30/0.55  (define @t45 () (or @t44 @t40))
% 0.30/0.55  (define @t46 () (@list true false))
% 0.30/0.55  (define @t47 () (not @t29))
% 0.30/0.55  (define @t48 () (and @t29 @t47))
% 0.30/0.55  (define @t49 () (or @t48 @t43))
% 0.30/0.55  (define @t50 () (not @t48))
% 0.30/0.55  (assume @p1 @t20)
% 0.30/0.55  (assume @p2 true)
% 0.30/0.55  (step @p3 :rule bool-impl-elim :args (@t22 @t25))
% 0.30/0.55  (step @p4 :rule cong :premises (@p3) :args ((forall @t18 (=> @t22 @t25))))
% 0.30/0.55  (step @p5 :rule bool-implies-de-morgan :args (@t5 @t3))
% 0.30/0.55  (step @p6 :rule refl :args (@t24))
% 0.30/0.55  (step @p7 :rule nary_cong :premises (@p6 @p5) :args ((or @t24 (not @t6))))
% 0.30/0.55  (step @p8 :rule bool-and-de-morgan :args (@t7 @t6 true))
% 0.30/0.55  (step @p9 :rule trans :premises (@p8 @p7))
% 0.30/0.55  (step @p10 :rule cong :premises (@p9) :args (@t26))
% 0.30/0.55  (step @p11 :rule cong :premises (@p10) :args (@t27))
% 0.30/0.55  (step @p12 :rule exists-elim :args ((= @t10 @t27)))
% 0.30/0.55  (step @p13 :rule trans :premises (@p12 @p11))
% 0.30/0.55  (step @p14 :rule refl :args (@t11))
% 0.30/0.55  (step @p15 :rule bool-implies-de-morgan :args (@t13 @t12))
% 0.30/0.55  (step @p16 :rule nary_cong :premises (@p15 @p14) :args ((or (not @t14) @t11)))
% 0.30/0.55  (step @p17 :rule bool-impl-elim :args (@t14 @t11))
% 0.30/0.55  (step @p18 :rule trans :premises (@p17 @p16))
% 0.30/0.55  (step @p19 :rule cong :premises (@p18) :args (@t16))
% 0.30/0.55  (step @p20 :rule cong :premises (@p19 @p13) :args (@t17))
% 0.30/0.55  (step @p21 :rule cong :premises (@p20) :args (@t19))
% 0.30/0.55  (step @p22 :rule trans :premises (@p21 @p4))
% 0.30/0.55  (step @p23 :rule cong :premises (@p22) :args (@t20))
% 0.30/0.55  (step @p24 :rule eq_resolve :premises (@p1 @p23))
% 0.30/0.55  (step @p25 :rule skolemize :premises (@p24))
% 0.30/0.55  (step @p26 :rule bool-double-not-elim :args (@t30))
% 0.30/0.55  (step @p27 :rule refl :args (@t36))
% 0.30/0.55  (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or @t36 (not @t35))))
% 0.30/0.55  (step @p29 :rule cnf_or_neg :args (@t36 0))
% 0.30/0.55  (step @p30 :rule eq_resolve :premises (@p29 @p28))
% 0.30/0.55  (step @p31 :rule reordering :premises (@p30) :args ((or @t30 @t36)))
% 0.30/0.55  (step @p32 :rule chain_m_resolution :premises (@p31 @p25) :args (@t30 @t37 @t38))
% 0.30/0.55  (step @p33 :rule instantiate :premises (@p32) :args ((@list @t28)))
% 0.30/0.55  (step @p34 :rule bool-double-not-elim :args (@t33))
% 0.30/0.55  (step @p35 :rule nary_cong :premises (@p27 @p34) :args ((or @t36 (not @t34))))
% 0.30/0.55  (step @p36 :rule cnf_or_neg :args (@t36 1))
% 0.30/0.55  (step @p37 :rule eq_resolve :premises (@p36 @p35))
% 0.30/0.55  (step @p38 :rule reordering :premises (@p37) :args ((or @t33 @t36)))
% 0.30/0.55  (step @p39 :rule chain_m_resolution :premises (@p38 @p25) :args (@t33 @t37 @t38))
% 0.30/0.55  (step @p40 :rule instantiate :premises (@p39) :args ((@list @t31 @t28)))
% 0.30/0.55  (step @p41 :rule cnf_and_pos :args (@t40 0))
% 0.30/0.55  (step @p42 :rule reordering :premises (@p41) :args ((or @t32 @t41)))
% 0.30/0.55  (step @p43 :rule cnf_and_pos :args (@t40 1))
% 0.30/0.55  (step @p44 :rule reordering :premises (@p43) :args ((or @t39 @t41)))
% 0.30/0.55  (step @p45 :rule chain_m_resolution :premises (@p44 @p42) :args (@t41 @t42 (@list @t32)))
% 0.30/0.55  (step @p46 :rule cnf_or_pos :args (@t45))
% 0.30/0.55  (step @p47 :rule reordering :premises (@p46) :args ((or @t44 @t40 (not @t45))))
% 0.30/0.55  (step @p48 :rule chain_m_resolution :premises (@p47 @p45 @p40) :args (@t44 @t46 (@list @t40 @t45)))
% 0.30/0.55  (step @p49 :rule cnf_or_pos :args (@t49))
% 0.30/0.55  (step @p50 :rule reordering :premises (@p49) :args ((or @t48 @t43 (not @t49))))
% 0.30/0.55  (step @p51 :rule chain_m_resolution :premises (@p50 @p48 @p33) :args (@t48 @t46 (@list @t43 @t49)))
% 0.30/0.55  (step @p52 :rule cnf_and_pos :args (@t48 0))
% 0.30/0.55  (step @p53 :rule reordering :premises (@p52) :args ((or @t29 @t50)))
% 0.30/0.55  (step @p54 :rule chain_m_resolution :premises (@p53 @p51) :args (@t29 @t42 (@list @t48)))
% 0.30/0.55  (step @p55 :rule cnf_and_pos :args (@t48 1))
% 0.30/0.55  (step @p56 :rule reordering :premises (@p55) :args ((or @t47 @t50)))
% 0.30/0.55  (step @p57 false :rule chain_m_resolution :premises (@p56 @p54 @p51) :args (false (@list false false) (@list @t29 @t48)))
% 0.30/0.55  )
% 0.30/0.55  % SZS output end Proof
% 0.30/0.55  % cvc5 exiting
%------------------------------------------------------------------------------