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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : NLP267_17 : 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 : n025.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 08:37:18 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
% 0.00/0.12  % Problem  : NLP267_17 : TPTP v9.2.1. Released v8.2.0.
% 0.13/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n025.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Tue Jun  2 10:17:46 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.30/0.49  %----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 |tptp.'$ki_index'| 0)
% 0.30/0.55  (declare-sort |tptp.'$ki_world'| 0)
% 0.30/0.55  (declare-sort $$unsorted 0)
% 0.30/0.55  (declare-const tptp.second $$unsorted)
% 0.30/0.55  (declare-const tptp.seventy $$unsorted)
% 0.30/0.55  (declare-const |tptp.'$ki_local_world'| |tptp.'$ki_world'|)
% 0.30/0.55  (declare-const tptp.dest (-> |tptp.'$ki_world'| $$unsorted Bool))
% 0.30/0.55  (declare-const tptp.paris $$unsorted)
% 0.30/0.55  (declare-const tptp.first $$unsorted)
% 0.30/0.55  (declare-const tptp.price (-> |tptp.'$ki_world'| $$unsorted Bool))
% 0.30/0.55  (declare-const tptp.ninetyfive $$unsorted)
% 0.30/0.55  (declare-const |tptp.'#idx(b_u)'| |tptp.'$ki_index'|)
% 0.30/0.55  (declare-const tptp.class (-> |tptp.'$ki_world'| $$unsorted Bool))
% 0.30/0.55  (declare-const |tptp.'$ki_accessible'| (-> |tptp.'$ki_index'| |tptp.'$ki_world'| |tptp.'$ki_world'| Bool))
% 0.30/0.55  (declare-const |tptp.'#idx(b_s)'| |tptp.'$ki_index'|)
% 0.30/0.55  (define @t1 () (@var "V" |tptp.'$ki_world'|))
% 0.30/0.55  (define @t2 () (@var "W" |tptp.'$ki_world'|))
% 0.30/0.55  (define @t3 () (@list @t2 @t1))
% 0.30/0.55  (define @t4 () (tptp.price @t2 tptp.ninetyfive))
% 0.30/0.55  (define @t5 () (tptp.class @t2 tptp.first))
% 0.30/0.55  (define @t6 () (tptp.dest @t2 tptp.paris))
% 0.30/0.55  (define @t7 () (|tptp.'$ki_accessible'| |tptp.'#idx(b_s)'| |tptp.'$ki_local_world'| @t2))
% 0.30/0.55  (define @t8 () (@list @t2))
% 0.30/0.55  (define @t9 () (tptp.price @t2 tptp.seventy))
% 0.30/0.55  (define @t10 () (tptp.class @t2 tptp.second))
% 0.30/0.55  (define @t11 () (and @t6 @t10))
% 0.30/0.55  (define @t12 () (=> @t11 @t9))
% 0.30/0.55  (define @t13 () (forall @t8 (=> @t7 @t12)))
% 0.30/0.55  (define @t14 () (not (and @t5 @t10)))
% 0.30/0.55  (define @t15 () (|tptp.'$ki_accessible'| |tptp.'#idx(b_u)'| |tptp.'$ki_local_world'| @t2))
% 0.30/0.55  (define @t16 () (not (and @t9 @t4)))
% 0.30/0.55  (define @t17 () (forall @t8 (=> @t7 @t11)))
% 0.30/0.55  (define @t18 () (forall @t8 (=> @t7 @t9)))
% 0.30/0.55  (define @t19 () (not @t18))
% 0.30/0.55  (define @t20 () (not @t7))
% 0.30/0.55  (define @t21 () (@quantifiers_skolemize (forall @t8 (or @t20 @t9)) 0))
% 0.30/0.55  (define @t22 () (|tptp.'$ki_accessible'| |tptp.'#idx(b_s)'| |tptp.'$ki_local_world'| @t21))
% 0.30/0.55  (define @t23 () (tptp.price @t21 tptp.seventy))
% 0.30/0.55  (define @t24 () (not @t22))
% 0.30/0.55  (define @t25 () (or @t24 @t23))
% 0.30/0.55  (define @t26 () (@list true))
% 0.30/0.55  (define @t27 () (@list @t25))
% 0.30/0.55  (define @t28 () (not @t10))
% 0.30/0.55  (define @t29 () (not @t6))
% 0.30/0.55  (define @t30 () (or @t29 @t28 @t9))
% 0.30/0.55  (define @t31 () (@list @t21))
% 0.30/0.55  (define @t32 () (tptp.class @t21 tptp.second))
% 0.30/0.55  (define @t33 () (tptp.dest @t21 tptp.paris))
% 0.30/0.55  (define @t34 () (and @t33 @t32))
% 0.30/0.55  (define @t35 () (or @t24 @t34))
% 0.30/0.55  (define @t36 () (not @t34))
% 0.30/0.55  (define @t37 () (@list false))
% 0.30/0.55  (define @t38 () (@list @t34))
% 0.30/0.55  (define @t39 () (not @t32))
% 0.30/0.55  (define @t40 () (not @t33))
% 0.30/0.55  (define @t41 () (or @t24 @t40 @t39 @t23))
% 0.30/0.55  (assume @p1 (forall @t3 (|tptp.'$ki_accessible'| |tptp.'#idx(b_s)'| @t2 @t1)))
% 0.30/0.55  (assume @p2 (forall @t3 (|tptp.'$ki_accessible'| |tptp.'#idx(b_u)'| @t2 @t1)))
% 0.30/0.55  (assume @p3 (forall @t8 (=> @t7 (=> (and @t6 @t5) @t4))))
% 0.30/0.55  (assume @p4 @t13)
% 0.30/0.55  (assume @p5 (forall @t8 (=> @t7 @t14)))
% 0.30/0.55  (assume @p6 (forall @t8 (=> @t15 @t14)))
% 0.30/0.55  (assume @p7 (forall @t8 (=> @t7 @t16)))
% 0.30/0.55  (assume @p8 (forall @t8 (=> @t15 @t16)))
% 0.30/0.55  (assume @p9 @t17)
% 0.30/0.55  (assume @p10 @t19)
% 0.30/0.55  (assume @p11 true)
% 0.30/0.55  (step @p12 :rule bool-impl-elim :args (@t7 @t9))
% 0.30/0.55  (step @p13 :rule cong :premises (@p12) :args (@t18))
% 0.30/0.55  (step @p14 :rule cong :premises (@p13) :args (@t19))
% 0.30/0.55  (step @p15 :rule eq_resolve :premises (@p10 @p14))
% 0.30/0.55  (step @p16 :rule skolemize :premises (@p15))
% 0.30/0.55  (step @p17 :rule bool-double-not-elim :args (@t22))
% 0.30/0.55  (step @p18 :rule refl :args (@t25))
% 0.30/0.55  (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or @t25 (not @t24))))
% 0.30/0.55  (step @p20 :rule cnf_or_neg :args (@t25 0))
% 0.30/0.55  (step @p21 :rule eq_resolve :premises (@p20 @p19))
% 0.30/0.55  (step @p22 :rule reordering :premises (@p21) :args ((or @t22 @t25)))
% 0.30/0.55  (step @p23 :rule chain_m_resolution :premises (@p22 @p16) :args (@t22 @t26 @t27))
% 0.30/0.55  (step @p24 :rule cnf_or_neg :args (@t25 1))
% 0.30/0.55  (step @p25 :rule chain_m_resolution :premises (@p24 @p16) :args ((not @t23) @t26 @t27))
% 0.30/0.55  (step @p26 :rule aci_norm :args ((= (or @t20 @t30) (or @t20 @t29 @t28 @t9))))
% 0.30/0.55  (step @p27 :rule aci_norm :args ((= (or (or @t29 @t28) @t9) @t30)))
% 0.30/0.55  (step @p28 :rule refl :args (@t9))
% 0.30/0.55  (step @p29 :rule bool-and-de-morgan :args (@t6 @t10 true))
% 0.30/0.55  (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or (not @t11) @t9)))
% 0.30/0.55  (step @p31 :rule trans :premises (@p30 @p27))
% 0.30/0.55  (step @p32 :rule bool-impl-elim :args (@t11 @t9))
% 0.30/0.55  (step @p33 :rule trans :premises (@p32 @p31))
% 0.30/0.55  (step @p34 :rule refl :args (@t20))
% 0.30/0.55  (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t20 @t12)))
% 0.30/0.55  (step @p36 :rule trans :premises (@p35 @p26))
% 0.30/0.55  (step @p37 :rule bool-impl-elim :args (@t7 @t12))
% 0.30/0.55  (step @p38 :rule trans :premises (@p37 @p36))
% 0.30/0.55  (step @p39 :rule cong :premises (@p38) :args (@t13))
% 0.30/0.55  (step @p40 :rule eq_resolve :premises (@p4 @p39))
% 0.30/0.55  (step @p41 :rule instantiate :premises (@p40) :args (@t31))
% 0.30/0.55  (step @p42 :rule bool-impl-elim :args (@t7 @t11))
% 0.30/0.55  (step @p43 :rule cong :premises (@p42) :args (@t17))
% 0.30/0.55  (step @p44 :rule eq_resolve :premises (@p9 @p43))
% 0.30/0.55  (step @p45 :rule instantiate :premises (@p44) :args (@t31))
% 0.30/0.55  (step @p46 :rule cnf_or_pos :args (@t35))
% 0.30/0.55  (step @p47 :rule reordering :premises (@p46) :args ((or @t24 @t34 (not @t35))))
% 0.30/0.55  (step @p48 :rule chain_m_resolution :premises (@p47 @p23 @p45) :args (@t34 (@list false false) (@list @t22 @t35)))
% 0.30/0.55  (step @p49 :rule cnf_and_pos :args (@t34 0))
% 0.30/0.55  (step @p50 :rule reordering :premises (@p49) :args ((or @t33 @t36)))
% 0.30/0.55  (step @p51 :rule chain_m_resolution :premises (@p50 @p48) :args (@t33 @t37 @t38))
% 0.30/0.55  (step @p52 :rule cnf_and_pos :args (@t34 1))
% 0.30/0.55  (step @p53 :rule reordering :premises (@p52) :args ((or @t32 @t36)))
% 0.30/0.55  (step @p54 :rule chain_m_resolution :premises (@p53 @p48) :args (@t32 @t37 @t38))
% 0.30/0.55  (step @p55 :rule cnf_or_pos :args (@t41))
% 0.30/0.55  (step @p56 :rule reordering :premises (@p55) :args ((or @t24 @t23 @t40 @t39 (not @t41))))
% 0.30/0.55  (step @p57 false :rule chain_m_resolution :premises (@p56 @p54 @p51 @p41 @p25 @p23) :args (false (@list false false false true false) (@list @t32 @t33 @t41 @t23 @t22)))
% 0.30/0.55  )
% 0.30/0.55  % SZS output end Proof
% 0.30/0.55  % cvc5 exiting
%------------------------------------------------------------------------------