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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYN976+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 : n026.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 09:10:10 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
% 0.12/0.13  % Problem  : SYN976+1 : TPTP v9.2.1. Released v3.1.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.35  % Computer : n026.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit : 300
% 0.18/0.35  % WCLimit  : 300
% 0.18/0.35  % DateTime : Tue Jun  2 23:50:40 EDT 2026
% 0.18/0.35  % 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 $$unsorted 0)
% 0.33/0.56  (declare-const tptp.f Bool)
% 0.33/0.56  (declare-const tptp.g Bool)
% 0.33/0.56  (declare-const tptp.p (-> $$unsorted Bool))
% 0.33/0.56  (declare-const tptp.q (-> $$unsorted Bool))
% 0.33/0.56  (define @t1 () (@var "A" $$unsorted))
% 0.33/0.56  (define @t2 () (tptp.q @t1))
% 0.33/0.56  (define @t3 () (@var "X" $$unsorted))
% 0.33/0.56  (define @t4 () (tptp.q @t3))
% 0.33/0.56  (define @t5 () (tptp.p @t3))
% 0.33/0.56  (define @t6 () (@list @t3))
% 0.33/0.56  (define @t7 () (forall @t6 (and @t5 @t4)))
% 0.33/0.56  (define @t8 () (or tptp.f tptp.g))
% 0.33/0.56  (define @t9 () (and @t8 @t7))
% 0.33/0.56  (define @t10 () (=> @t9 @t2))
% 0.33/0.56  (define @t11 () (@list @t1))
% 0.33/0.56  (define @t12 () (forall @t11 @t10))
% 0.33/0.56  (define @t13 () (not @t12))
% 0.33/0.56  (define @t14 () (forall @t11 @t2))
% 0.33/0.56  (define @t15 () (@var "BOUND_VARIABLE_7431" $$unsorted))
% 0.33/0.56  (define @t16 () (forall (@list @t15) (tptp.q @t15)))
% 0.33/0.56  (define @t17 () (not @t16))
% 0.33/0.56  (define @t18 () (@var "BOUND_VARIABLE_7426" $$unsorted))
% 0.33/0.56  (define @t19 () (forall (@list @t18) (tptp.p @t18)))
% 0.33/0.56  (define @t20 () (not @t19))
% 0.33/0.56  (define @t21 () (and (not tptp.f) (not tptp.g)))
% 0.33/0.56  (define @t22 () (or @t21 @t20 @t17 @t2))
% 0.33/0.56  (define @t23 () (not @t8))
% 0.33/0.56  (define @t24 () (or @t23 @t20 @t17))
% 0.33/0.56  (define @t25 () (and @t19 @t16))
% 0.33/0.56  (define @t26 () (and @t8 @t19 @t16))
% 0.33/0.56  (define @t27 () (forall @t6 @t4))
% 0.33/0.56  (define @t28 () (@list @t3))
% 0.33/0.56  (define @t29 () (@list @t15))
% 0.33/0.56  (define @t30 () (forall @t6 @t5))
% 0.33/0.56  (define @t31 () (and @t30 @t27))
% 0.33/0.56  (define @t32 () (@list false))
% 0.33/0.56  (assume @p1 @t13)
% 0.33/0.56  (assume @p2 true)
% 0.33/0.56  (step @p3 :rule quant-miniscope-or :args ((= (forall @t11 @t22) (or @t21 @t20 @t17 @t14))))
% 0.33/0.56  (step @p4 :rule aci_norm :args ((= (or (or @t21 @t20 @t17) @t2) @t22)))
% 0.33/0.56  (step @p5 :rule refl :args (@t2))
% 0.33/0.56  (step @p6 :rule refl :args (@t17))
% 0.33/0.56  (step @p7 :rule refl :args (@t20))
% 0.33/0.56  (step @p8 :rule bool-or-de-morgan :args (tptp.f tptp.g false))
% 0.33/0.56  (step @p9 :rule nary_cong :premises (@p8 @p7 @p6) :args (@t24))
% 0.33/0.56  (step @p10 :rule aci_norm :args ((= (or @t23 (or @t20 @t17)) @t24)))
% 0.33/0.56  (step @p11 :rule bool-and-de-morgan :args (@t19 @t16 true))
% 0.33/0.56  (step @p12 :rule refl :args (@t23))
% 0.33/0.56  (step @p13 :rule nary_cong :premises (@p12 @p11) :args ((or @t23 (not @t25))))
% 0.33/0.56  (step @p14 :rule bool-and-de-morgan :args (@t8 @t19 (and @t16)))
% 0.33/0.56  (step @p15 :rule trans :premises (@p14 @p13))
% 0.33/0.56  (step @p16 :rule trans :premises (@p15 @p10))
% 0.33/0.56  (step @p17 :rule trans :premises (@p16 @p9))
% 0.33/0.56  (step @p18 :rule nary_cong :premises (@p17 @p5) :args ((or (not @t26) @t2)))
% 0.33/0.56  (step @p19 :rule trans :premises (@p18 @p4))
% 0.33/0.56  (step @p20 :rule bool-impl-elim :args (@t26 @t2))
% 0.33/0.56  (step @p21 :rule trans :premises (@p20 @p19))
% 0.33/0.56  (step @p22 :rule cong :premises (@p21) :args ((forall @t11 (=> @t26 @t2))))
% 0.33/0.56  (step @p23 :rule trans :premises (@p22 @p3))
% 0.33/0.56  (step @p24 :rule refl :args (@t2))
% 0.33/0.56  (step @p25 :rule aci_norm :args ((= (and @t8 @t25) @t26)))
% 0.33/0.56  (step @p26 :rule alpha_equiv :args (@t27 @t28 @t29))
% 0.33/0.56  (step @p27 :rule alpha_equiv :args (@t30 @t28 (@list @t18)))
% 0.33/0.56  (step @p28 :rule nary_cong :premises (@p27 @p26) :args (@t31))
% 0.33/0.56  (step @p29 :rule quant-miniscope-and :args ((= @t7 @t31)))
% 0.33/0.56  (step @p30 :rule trans :premises (@p29 @p28))
% 0.33/0.56  (step @p31 :rule refl :args (@t8))
% 0.33/0.56  (step @p32 :rule nary_cong :premises (@p31 @p30) :args (@t9))
% 0.33/0.56  (step @p33 :rule trans :premises (@p32 @p25))
% 0.33/0.56  (step @p34 :rule cong :premises (@p33 @p24) :args (@t10))
% 0.33/0.56  (step @p35 :rule cong :premises (@p34) :args (@t12))
% 0.33/0.56  (step @p36 :rule trans :premises (@p35 @p23))
% 0.33/0.56  (step @p37 :rule cong :premises (@p36) :args (@t13))
% 0.33/0.56  (step @p38 :rule eq_resolve :premises (@p1 @p37))
% 0.33/0.56  (step @p39 :rule not_or_elim :premises (@p38) :args (2))
% 0.33/0.56  (step @p40 :rule not_not_elim :premises (@p39))
% 0.33/0.56  (step @p41 :rule alpha_equiv :args (@t16 @t29 (@list @t1)))
% 0.33/0.56  (step @p42 :rule equiv_elim1 :premises (@p41))
% 0.33/0.56  (step @p43 :rule chain_m_resolution :premises (@p42 @p40) :args (@t14 @t32 (@list @t16)))
% 0.33/0.56  (step @p44 :rule not_or_elim :premises (@p38) :args (3))
% 0.33/0.56  (step @p45 false :rule chain_m_resolution :premises (@p44 @p43) :args (false @t32 (@list @t14)))
% 0.33/0.56  )
% 0.33/0.56  % SZS output end Proof
% 0.33/0.56  % cvc5 exiting
%------------------------------------------------------------------------------