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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : NLP267_3 : TPTP v9.2.1. Released v8.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 08:37:19 AM UTC 2026

% Result   : Theorem 0.30s 0.54s
% Output   : Proof 0.30s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NLP267_3 : TPTP v9.2.1. Released v8.2.0.
% 0.11/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.33  % Computer : n015.cluster.edu
% 0.17/0.33  % Model    : x86_64 x86_64
% 0.17/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33  % Memory   : 8042.1875MB
% 0.17/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33  % CPULimit : 300
% 0.17/0.33  % WCLimit  : 300
% 0.17/0.33  % DateTime : Tue Jun  2 10:18:04 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.30/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.30/0.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.30/0.54  % SZS status Theorem
% 0.30/0.54  % SZS output start Proof
% 0.30/0.54  (
% 0.30/0.54  (declare-sort |tptp.'$ki_world'| 0)
% 0.30/0.54  (declare-sort $$unsorted 0)
% 0.30/0.54  (declare-const tptp.second $$unsorted)
% 0.30/0.54  (declare-const tptp.seventy $$unsorted)
% 0.30/0.54  (declare-const tptp.dest (-> |tptp.'$ki_world'| $$unsorted Bool))
% 0.30/0.54  (declare-const tptp.paris $$unsorted)
% 0.30/0.54  (declare-const |tptp.'$ki_local_world'| |tptp.'$ki_world'|)
% 0.30/0.54  (declare-const tptp.class (-> |tptp.'$ki_world'| $$unsorted Bool))
% 0.30/0.54  (declare-const tptp.first $$unsorted)
% 0.30/0.54  (declare-const tptp.price (-> |tptp.'$ki_world'| $$unsorted Bool))
% 0.30/0.54  (declare-const tptp.ninetyfive $$unsorted)
% 0.30/0.54  (declare-const |tptp.'$ki_accessible'| (-> |tptp.'$ki_world'| |tptp.'$ki_world'| Bool))
% 0.30/0.54  (define @t1 () (@var "V" |tptp.'$ki_world'|))
% 0.30/0.54  (define @t2 () (@var "W" |tptp.'$ki_world'|))
% 0.30/0.54  (define @t3 () (@list @t2))
% 0.30/0.54  (define @t4 () (tptp.price @t2 tptp.ninetyfive))
% 0.30/0.54  (define @t5 () (tptp.class @t2 tptp.first))
% 0.30/0.54  (define @t6 () (tptp.dest @t2 tptp.paris))
% 0.30/0.54  (define @t7 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t2))
% 0.30/0.54  (define @t8 () (tptp.price @t2 tptp.seventy))
% 0.30/0.54  (define @t9 () (tptp.class @t2 tptp.second))
% 0.30/0.54  (define @t10 () (and @t6 @t9))
% 0.30/0.54  (define @t11 () (=> @t10 @t8))
% 0.30/0.54  (define @t12 () (forall @t3 (=> @t7 @t11)))
% 0.30/0.54  (define @t13 () (forall @t3 (=> @t7 @t6)))
% 0.30/0.54  (define @t14 () (forall @t3 (=> @t7 @t9)))
% 0.30/0.54  (define @t15 () (forall @t3 (=> @t7 @t8)))
% 0.30/0.54  (define @t16 () (not @t15))
% 0.30/0.54  (define @t17 () (not @t7))
% 0.30/0.54  (define @t18 () (@quantifiers_skolemize (forall @t3 (or @t17 @t8)) 0))
% 0.30/0.54  (define @t19 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t18))
% 0.30/0.54  (define @t20 () (tptp.price @t18 tptp.seventy))
% 0.30/0.54  (define @t21 () (not @t19))
% 0.30/0.54  (define @t22 () (or @t21 @t20))
% 0.30/0.54  (define @t23 () (@list true))
% 0.30/0.54  (define @t24 () (@list @t22))
% 0.30/0.54  (define @t25 () (not @t9))
% 0.30/0.54  (define @t26 () (not @t6))
% 0.30/0.54  (define @t27 () (or @t26 @t25 @t8))
% 0.30/0.54  (define @t28 () (@list @t18))
% 0.30/0.54  (define @t29 () (tptp.dest @t18 tptp.paris))
% 0.30/0.54  (define @t30 () (or @t21 @t29))
% 0.30/0.54  (define @t31 () (@list false false))
% 0.30/0.54  (define @t32 () (tptp.class @t18 tptp.second))
% 0.30/0.54  (define @t33 () (or @t21 @t32))
% 0.30/0.54  (define @t34 () (not @t32))
% 0.30/0.54  (define @t35 () (not @t29))
% 0.30/0.54  (define @t36 () (or @t21 @t35 @t34 @t20))
% 0.30/0.54  (assume @p1 (forall @t3 (exists (@list @t1) (|tptp.'$ki_accessible'| @t2 @t1))))
% 0.30/0.54  (assume @p2 (forall @t3 (=> @t7 (=> (and @t6 @t5) @t4))))
% 0.30/0.54  (assume @p3 @t12)
% 0.30/0.54  (assume @p4 (forall @t3 (=> @t7 (not (and @t5 @t9)))))
% 0.30/0.54  (assume @p5 (forall @t3 (=> @t7 (not (and @t4 @t8)))))
% 0.30/0.54  (assume @p6 @t13)
% 0.30/0.54  (assume @p7 @t14)
% 0.30/0.54  (assume @p8 @t16)
% 0.30/0.54  (assume @p9 true)
% 0.30/0.54  (step @p10 :rule bool-impl-elim :args (@t7 @t8))
% 0.30/0.54  (step @p11 :rule cong :premises (@p10) :args (@t15))
% 0.30/0.54  (step @p12 :rule cong :premises (@p11) :args (@t16))
% 0.30/0.54  (step @p13 :rule eq_resolve :premises (@p8 @p12))
% 0.30/0.54  (step @p14 :rule skolemize :premises (@p13))
% 0.30/0.54  (step @p15 :rule bool-double-not-elim :args (@t19))
% 0.30/0.54  (step @p16 :rule refl :args (@t22))
% 0.30/0.54  (step @p17 :rule nary_cong :premises (@p16 @p15) :args ((or @t22 (not @t21))))
% 0.30/0.54  (step @p18 :rule cnf_or_neg :args (@t22 0))
% 0.30/0.54  (step @p19 :rule eq_resolve :premises (@p18 @p17))
% 0.30/0.54  (step @p20 :rule reordering :premises (@p19) :args ((or @t19 @t22)))
% 0.30/0.54  (step @p21 :rule chain_m_resolution :premises (@p20 @p14) :args (@t19 @t23 @t24))
% 0.30/0.54  (step @p22 :rule cnf_or_neg :args (@t22 1))
% 0.30/0.54  (step @p23 :rule chain_m_resolution :premises (@p22 @p14) :args ((not @t20) @t23 @t24))
% 0.30/0.54  (step @p24 :rule aci_norm :args ((= (or @t17 @t27) (or @t17 @t26 @t25 @t8))))
% 0.30/0.54  (step @p25 :rule aci_norm :args ((= (or (or @t26 @t25) @t8) @t27)))
% 0.30/0.54  (step @p26 :rule refl :args (@t8))
% 0.30/0.54  (step @p27 :rule bool-and-de-morgan :args (@t6 @t9 true))
% 0.30/0.54  (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or (not @t10) @t8)))
% 0.30/0.54  (step @p29 :rule trans :premises (@p28 @p25))
% 0.30/0.54  (step @p30 :rule bool-impl-elim :args (@t10 @t8))
% 0.30/0.54  (step @p31 :rule trans :premises (@p30 @p29))
% 0.30/0.54  (step @p32 :rule refl :args (@t17))
% 0.30/0.54  (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or @t17 @t11)))
% 0.30/0.54  (step @p34 :rule trans :premises (@p33 @p24))
% 0.30/0.54  (step @p35 :rule bool-impl-elim :args (@t7 @t11))
% 0.30/0.54  (step @p36 :rule trans :premises (@p35 @p34))
% 0.30/0.54  (step @p37 :rule cong :premises (@p36) :args (@t12))
% 0.30/0.54  (step @p38 :rule eq_resolve :premises (@p3 @p37))
% 0.30/0.54  (step @p39 :rule instantiate :premises (@p38) :args (@t28))
% 0.30/0.54  (step @p40 :rule bool-impl-elim :args (@t7 @t6))
% 0.30/0.54  (step @p41 :rule cong :premises (@p40) :args (@t13))
% 0.30/0.54  (step @p42 :rule eq_resolve :premises (@p6 @p41))
% 0.30/0.54  (step @p43 :rule instantiate :premises (@p42) :args (@t28))
% 0.30/0.54  (step @p44 :rule cnf_or_pos :args (@t30))
% 0.30/0.54  (step @p45 :rule reordering :premises (@p44) :args ((or @t21 @t29 (not @t30))))
% 0.30/0.54  (step @p46 :rule chain_m_resolution :premises (@p45 @p21 @p43) :args (@t29 @t31 (@list @t19 @t30)))
% 0.30/0.54  (step @p47 :rule bool-impl-elim :args (@t7 @t9))
% 0.30/0.54  (step @p48 :rule cong :premises (@p47) :args (@t14))
% 0.30/0.54  (step @p49 :rule eq_resolve :premises (@p7 @p48))
% 0.30/0.54  (step @p50 :rule instantiate :premises (@p49) :args (@t28))
% 0.30/0.54  (step @p51 :rule cnf_or_pos :args (@t33))
% 0.30/0.54  (step @p52 :rule reordering :premises (@p51) :args ((or @t21 @t32 (not @t33))))
% 0.30/0.54  (step @p53 :rule chain_m_resolution :premises (@p52 @p21 @p50) :args (@t32 @t31 (@list @t19 @t33)))
% 0.30/0.54  (step @p54 :rule cnf_or_pos :args (@t36))
% 0.30/0.54  (step @p55 :rule reordering :premises (@p54) :args ((or @t21 @t20 @t35 @t34 (not @t36))))
% 0.30/0.54  (step @p56 false :rule chain_m_resolution :premises (@p55 @p53 @p46 @p39 @p23 @p21) :args (false (@list false false false true false) (@list @t32 @t29 @t36 @t20 @t19)))
% 0.30/0.54  )
% 0.30/0.54  % SZS output end Proof
% 0.30/0.54  % cvc5 exiting
%------------------------------------------------------------------------------