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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : NLP267_4 : TPTP v9.2.1. Released v8.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n007.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 0.26s 0.55s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NLP267_4 : TPTP v9.2.1. Released v8.2.0.
% 0.00/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n007.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Jun  2 10:17:11 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.26/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.26/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.26/0.55  % SZS status Theorem
% 0.26/0.55  % SZS output start Proof
% 0.26/0.55  (
% 0.26/0.55  (declare-sort |tptp.'$ki_world'| 0)
% 0.26/0.55  (declare-sort $$unsorted 0)
% 0.26/0.55  (declare-const tptp.seventy $$unsorted)
% 0.26/0.55  (declare-const tptp.second $$unsorted)
% 0.26/0.55  (declare-const |tptp.'$ki_local_world'| |tptp.'$ki_world'|)
% 0.26/0.55  (declare-const tptp.dest (-> |tptp.'$ki_world'| $$unsorted Bool))
% 0.26/0.55  (declare-const tptp.paris $$unsorted)
% 0.26/0.55  (declare-const tptp.class (-> |tptp.'$ki_world'| $$unsorted Bool))
% 0.26/0.55  (declare-const tptp.price (-> |tptp.'$ki_world'| $$unsorted Bool))
% 0.26/0.55  (declare-const tptp.ninetyfive $$unsorted)
% 0.26/0.55  (declare-const tptp.first $$unsorted)
% 0.26/0.55  (declare-const |tptp.'$ki_accessible'| (-> |tptp.'$ki_world'| |tptp.'$ki_world'| Bool))
% 0.26/0.55  (define @t1 () (@var "W" |tptp.'$ki_world'|))
% 0.26/0.55  (define @t2 () (@list @t1))
% 0.26/0.55  (define @t3 () (@var "U" |tptp.'$ki_world'|))
% 0.26/0.55  (define @t4 () (@var "V" |tptp.'$ki_world'|))
% 0.26/0.55  (define @t5 () (tptp.price @t1 tptp.ninetyfive))
% 0.26/0.55  (define @t6 () (tptp.class @t1 tptp.first))
% 0.26/0.55  (define @t7 () (tptp.dest @t1 tptp.paris))
% 0.26/0.55  (define @t8 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t1))
% 0.26/0.55  (define @t9 () (tptp.price @t1 tptp.seventy))
% 0.26/0.55  (define @t10 () (tptp.class @t1 tptp.second))
% 0.26/0.55  (define @t11 () (and @t7 @t10))
% 0.26/0.55  (define @t12 () (=> @t11 @t9))
% 0.26/0.55  (define @t13 () (forall @t2 (=> @t8 @t12)))
% 0.26/0.55  (define @t14 () (forall @t2 (=> @t8 @t7)))
% 0.26/0.55  (define @t15 () (forall @t2 (=> @t8 @t10)))
% 0.26/0.55  (define @t16 () (forall @t2 (=> @t8 @t9)))
% 0.26/0.55  (define @t17 () (not @t16))
% 0.26/0.55  (define @t18 () (not @t8))
% 0.26/0.55  (define @t19 () (@quantifiers_skolemize (forall @t2 (or @t18 @t9)) 0))
% 0.26/0.55  (define @t20 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t19))
% 0.26/0.55  (define @t21 () (tptp.price @t19 tptp.seventy))
% 0.26/0.55  (define @t22 () (not @t20))
% 0.26/0.55  (define @t23 () (or @t22 @t21))
% 0.26/0.55  (define @t24 () (@list true))
% 0.26/0.55  (define @t25 () (@list @t23))
% 0.26/0.55  (define @t26 () (not @t10))
% 0.26/0.55  (define @t27 () (not @t7))
% 0.26/0.55  (define @t28 () (or @t27 @t26 @t9))
% 0.26/0.55  (define @t29 () (@list @t19))
% 0.26/0.55  (define @t30 () (tptp.dest @t19 tptp.paris))
% 0.26/0.55  (define @t31 () (or @t22 @t30))
% 0.26/0.55  (define @t32 () (@list false false))
% 0.26/0.55  (define @t33 () (tptp.class @t19 tptp.second))
% 0.26/0.55  (define @t34 () (or @t22 @t33))
% 0.26/0.55  (define @t35 () (not @t33))
% 0.26/0.55  (define @t36 () (not @t30))
% 0.26/0.55  (define @t37 () (or @t22 @t36 @t35 @t21))
% 0.26/0.55  (assume @p1 (forall @t2 (|tptp.'$ki_accessible'| @t1 @t1)))
% 0.26/0.55  (assume @p2 (forall (@list @t1 @t4 @t3) (=> (and (|tptp.'$ki_accessible'| @t1 @t4) (|tptp.'$ki_accessible'| @t4 @t3)) (|tptp.'$ki_accessible'| @t1 @t3))))
% 0.26/0.55  (assume @p3 (forall @t2 (=> @t8 (=> (and @t7 @t6) @t5))))
% 0.26/0.55  (assume @p4 @t13)
% 0.26/0.55  (assume @p5 (forall @t2 (=> @t8 (not (and @t6 @t10)))))
% 0.26/0.55  (assume @p6 (forall @t2 (=> @t8 (not (and @t5 @t9)))))
% 0.26/0.55  (assume @p7 @t14)
% 0.26/0.55  (assume @p8 @t15)
% 0.26/0.55  (assume @p9 @t17)
% 0.26/0.55  (assume @p10 true)
% 0.26/0.55  (step @p11 :rule bool-impl-elim :args (@t8 @t9))
% 0.26/0.55  (step @p12 :rule cong :premises (@p11) :args (@t16))
% 0.26/0.55  (step @p13 :rule cong :premises (@p12) :args (@t17))
% 0.26/0.55  (step @p14 :rule eq_resolve :premises (@p9 @p13))
% 0.26/0.55  (step @p15 :rule skolemize :premises (@p14))
% 0.26/0.55  (step @p16 :rule bool-double-not-elim :args (@t20))
% 0.26/0.55  (step @p17 :rule refl :args (@t23))
% 0.26/0.55  (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or @t23 (not @t22))))
% 0.26/0.55  (step @p19 :rule cnf_or_neg :args (@t23 0))
% 0.26/0.55  (step @p20 :rule eq_resolve :premises (@p19 @p18))
% 0.26/0.55  (step @p21 :rule reordering :premises (@p20) :args ((or @t20 @t23)))
% 0.26/0.55  (step @p22 :rule chain_m_resolution :premises (@p21 @p15) :args (@t20 @t24 @t25))
% 0.26/0.55  (step @p23 :rule cnf_or_neg :args (@t23 1))
% 0.26/0.55  (step @p24 :rule chain_m_resolution :premises (@p23 @p15) :args ((not @t21) @t24 @t25))
% 0.26/0.55  (step @p25 :rule aci_norm :args ((= (or @t18 @t28) (or @t18 @t27 @t26 @t9))))
% 0.26/0.55  (step @p26 :rule aci_norm :args ((= (or (or @t27 @t26) @t9) @t28)))
% 0.26/0.55  (step @p27 :rule refl :args (@t9))
% 0.26/0.55  (step @p28 :rule bool-and-de-morgan :args (@t7 @t10 true))
% 0.26/0.55  (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or (not @t11) @t9)))
% 0.26/0.55  (step @p30 :rule trans :premises (@p29 @p26))
% 0.26/0.55  (step @p31 :rule bool-impl-elim :args (@t11 @t9))
% 0.26/0.55  (step @p32 :rule trans :premises (@p31 @p30))
% 0.26/0.55  (step @p33 :rule refl :args (@t18))
% 0.26/0.55  (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or @t18 @t12)))
% 0.26/0.55  (step @p35 :rule trans :premises (@p34 @p25))
% 0.26/0.55  (step @p36 :rule bool-impl-elim :args (@t8 @t12))
% 0.26/0.55  (step @p37 :rule trans :premises (@p36 @p35))
% 0.26/0.55  (step @p38 :rule cong :premises (@p37) :args (@t13))
% 0.26/0.55  (step @p39 :rule eq_resolve :premises (@p4 @p38))
% 0.26/0.55  (step @p40 :rule instantiate :premises (@p39) :args (@t29))
% 0.26/0.55  (step @p41 :rule bool-impl-elim :args (@t8 @t7))
% 0.26/0.55  (step @p42 :rule cong :premises (@p41) :args (@t14))
% 0.26/0.55  (step @p43 :rule eq_resolve :premises (@p7 @p42))
% 0.26/0.55  (step @p44 :rule instantiate :premises (@p43) :args (@t29))
% 0.26/0.55  (step @p45 :rule cnf_or_pos :args (@t31))
% 0.26/0.55  (step @p46 :rule reordering :premises (@p45) :args ((or @t22 @t30 (not @t31))))
% 0.26/0.55  (step @p47 :rule chain_m_resolution :premises (@p46 @p22 @p44) :args (@t30 @t32 (@list @t20 @t31)))
% 0.26/0.55  (step @p48 :rule bool-impl-elim :args (@t8 @t10))
% 0.26/0.55  (step @p49 :rule cong :premises (@p48) :args (@t15))
% 0.26/0.55  (step @p50 :rule eq_resolve :premises (@p8 @p49))
% 0.26/0.55  (step @p51 :rule instantiate :premises (@p50) :args (@t29))
% 0.26/0.55  (step @p52 :rule cnf_or_pos :args (@t34))
% 0.26/0.55  (step @p53 :rule reordering :premises (@p52) :args ((or @t22 @t33 (not @t34))))
% 0.36/0.55  (step @p54 :rule chain_m_resolution :premises (@p53 @p22 @p51) :args (@t33 @t32 (@list @t20 @t34)))
% 0.36/0.55  (step @p55 :rule cnf_or_pos :args (@t37))
% 0.36/0.55  (step @p56 :rule reordering :premises (@p55) :args ((or @t22 @t21 @t36 @t35 (not @t37))))
% 0.36/0.55  (step @p57 false :rule chain_m_resolution :premises (@p56 @p54 @p47 @p40 @p24 @p22) :args (false (@list false false false true false) (@list @t33 @t30 @t37 @t21 @t20)))
% 0.36/0.55  )
% 0.36/0.55  % SZS output end Proof
% 0.36/0.55  % cvc5 exiting
%------------------------------------------------------------------------------