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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : PUZ128+1 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n028.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 08:44:15 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
% 0.00/0.13  % Problem  : PUZ128+1 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.35  % Computer : n028.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 13:19:05 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 $$unsorted 0)
% 0.33/0.56  (declare-const tptp.patricide (-> $$unsorted Bool))
% 0.33/0.56  (declare-const tptp.thersandros $$unsorted)
% 0.33/0.56  (declare-const tptp.polyneikes $$unsorted)
% 0.33/0.56  (declare-const tptp.parent_of (-> $$unsorted $$unsorted Bool))
% 0.33/0.56  (declare-const tptp.iokaste $$unsorted)
% 0.33/0.56  (declare-const tptp.oedipus $$unsorted)
% 0.33/0.56  (define @t1 () (tptp.parent_of tptp.iokaste tptp.oedipus))
% 0.33/0.56  (define @t2 () (tptp.parent_of tptp.iokaste tptp.polyneikes))
% 0.33/0.56  (define @t3 () (tptp.parent_of tptp.oedipus tptp.polyneikes))
% 0.33/0.56  (define @t4 () (tptp.parent_of tptp.polyneikes tptp.thersandros))
% 0.33/0.56  (define @t5 () (tptp.patricide tptp.oedipus))
% 0.33/0.56  (define @t6 () (tptp.patricide tptp.thersandros))
% 0.33/0.56  (define @t7 () (@var "NP" $$unsorted))
% 0.33/0.56  (define @t8 () (tptp.patricide @t7))
% 0.33/0.56  (define @t9 () (not @t8))
% 0.33/0.56  (define @t10 () (@var "P" $$unsorted))
% 0.33/0.56  (define @t11 () (tptp.parent_of @t10 @t7))
% 0.33/0.56  (define @t12 () (tptp.patricide @t10))
% 0.33/0.56  (define @t13 () (tptp.parent_of tptp.iokaste @t10))
% 0.33/0.56  (define @t14 () (and @t13 @t12 @t11 @t9))
% 0.33/0.56  (define @t15 () (@list @t10 @t7))
% 0.33/0.56  (define @t16 () (exists @t15 @t14))
% 0.33/0.56  (define @t17 () (not @t16))
% 0.33/0.56  (define @t18 () (not @t11))
% 0.33/0.56  (define @t19 () (not @t12))
% 0.33/0.56  (define @t20 () (not @t13))
% 0.33/0.56  (define @t21 () (not @t9))
% 0.33/0.56  (define @t22 () (or @t20 @t19 @t18 @t21))
% 0.33/0.56  (define @t23 () (forall @t15 (not @t14)))
% 0.33/0.56  (define @t24 () (not @t23))
% 0.33/0.56  (define @t25 () (tptp.patricide tptp.polyneikes))
% 0.33/0.56  (define @t26 () (not @t3))
% 0.33/0.56  (define @t27 () (not @t5))
% 0.33/0.56  (define @t28 () (not @t1))
% 0.33/0.56  (define @t29 () (or @t28 @t27 @t26 @t25))
% 0.33/0.56  (define @t30 () (not @t4))
% 0.33/0.56  (define @t31 () (not @t25))
% 0.33/0.56  (define @t32 () (not @t2))
% 0.33/0.56  (define @t33 () (or @t32 @t31 @t30 @t6))
% 0.33/0.56  (assume @p1 @t1)
% 0.33/0.56  (assume @p2 @t2)
% 0.33/0.56  (assume @p3 @t3)
% 0.33/0.56  (assume @p4 @t4)
% 0.33/0.56  (assume @p5 @t5)
% 0.33/0.56  (assume @p6 (not @t6))
% 0.33/0.56  (assume @p7 @t17)
% 0.33/0.56  (assume @p8 true)
% 0.33/0.56  (step @p9 :rule bool-double-not-elim :args ((forall @t15 (or @t20 @t19 @t18 @t8))))
% 0.33/0.56  (step @p10 :rule bool-double-not-elim :args (@t8))
% 0.33/0.56  (step @p11 :rule refl :args (@t18))
% 0.33/0.56  (step @p12 :rule refl :args (@t19))
% 0.33/0.56  (step @p13 :rule refl :args (@t20))
% 0.33/0.56  (step @p14 :rule nary_cong :premises (@p13 @p12 @p11 @p10) :args (@t22))
% 0.33/0.56  (step @p15 :rule aci_norm :args ((= (or @t20 (or @t19 (or @t18 @t21))) @t22)))
% 0.33/0.56  (step @p16 :rule trans :premises (@p15 @p14))
% 0.33/0.56  (step @p17 :rule bool-and-de-morgan :args (@t11 @t9 true))
% 0.33/0.56  (step @p18 :rule nary_cong :premises (@p12 @p17) :args ((or @t19 (not (and @t11 @t9)))))
% 0.33/0.56  (step @p19 :rule bool-and-de-morgan :args (@t12 @t11 (and @t9)))
% 0.33/0.56  (step @p20 :rule trans :premises (@p19 @p18))
% 0.33/0.56  (step @p21 :rule nary_cong :premises (@p13 @p20) :args ((or @t20 (not (and @t12 @t11 @t9)))))
% 0.33/0.56  (step @p22 :rule bool-and-de-morgan :args (@t13 @t12 (and @t11 @t9)))
% 0.33/0.56  (step @p23 :rule trans :premises (@p22 @p21))
% 0.33/0.56  (step @p24 :rule trans :premises (@p23 @p16))
% 0.33/0.56  (step @p25 :rule cong :premises (@p24) :args (@t23))
% 0.33/0.56  (step @p26 :rule cong :premises (@p25) :args (@t24))
% 0.33/0.56  (step @p27 :rule exists-elim :args ((= @t16 @t24)))
% 0.33/0.56  (step @p28 :rule trans :premises (@p27 @p26))
% 0.33/0.56  (step @p29 :rule cong :premises (@p28) :args (@t17))
% 0.33/0.56  (step @p30 :rule trans :premises (@p29 @p9))
% 0.33/0.56  (step @p31 :rule eq_resolve :premises (@p7 @p30))
% 0.33/0.56  (step @p32 :rule instantiate :premises (@p31) :args ((@list tptp.polyneikes tptp.thersandros)))
% 0.33/0.56  (step @p33 :rule instantiate :premises (@p31) :args ((@list tptp.oedipus tptp.polyneikes)))
% 0.33/0.56  (step @p34 :rule cnf_or_pos :args (@t29))
% 0.33/0.56  (step @p35 :rule reordering :premises (@p34) :args ((or @t28 @t26 @t27 @t25 (not @t29))))
% 0.33/0.56  (step @p36 :rule chain_m_resolution :premises (@p35 @p1 @p3 @p5 @p33) :args (@t25 (@list false false false false) (@list @t1 @t3 @t5 @t29)))
% 0.33/0.56  (step @p37 :rule cnf_or_pos :args (@t33))
% 0.33/0.56  (step @p38 :rule reordering :premises (@p37) :args ((or @t6 @t32 @t30 @t31 (not @t33))))
% 0.33/0.56  (step @p39 false :rule chain_m_resolution :premises (@p38 @p36 @p32 @p6 @p4 @p2) :args (false (@list false false true false false) (@list @t25 @t33 @t6 @t4 @t2)))
% 0.33/0.56  )
% 0.33/0.56  % SZS output end Proof
% 0.33/0.56  % cvc5 exiting
%------------------------------------------------------------------------------