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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : DAT334_21 : 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 : n010.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 08:14:46 AM UTC 2026

% Result   : Theorem 0.34s 0.56s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : DAT334_21 : TPTP v9.2.1. Released v8.2.0.
% 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 : n010.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 : Mon Jun  1 22:32:10 EDT 2026
% 0.18/0.35  % CPUTime  : 
% 0.34/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.34/0.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.34/0.56  % SZS status Theorem
% 0.34/0.56  % SZS output start Proof
% 0.34/0.56  (
% 0.34/0.56  (declare-sort |tptp.'$ki_world'| 0)
% 0.34/0.56  (declare-sort $$unsorted 0)
% 0.34/0.56  (declare-const |tptp.'$ki_local_world'| |tptp.'$ki_world'|)
% 0.34/0.56  (declare-const tptp.john $$unsorted)
% 0.34/0.56  (declare-const tptp.math $$unsorted)
% 0.34/0.56  (declare-const tptp.cs $$unsorted)
% 0.34/0.56  (declare-const tptp.mary $$unsorted)
% 0.34/0.56  (declare-const tptp.teach (-> |tptp.'$ki_world'| $$unsorted $$unsorted Bool))
% 0.34/0.56  (declare-const tptp.sue $$unsorted)
% 0.34/0.56  (declare-const tptp.psych $$unsorted)
% 0.34/0.56  (declare-const |tptp.'$ki_exists_in_world_$i'| (-> |tptp.'$ki_world'| $$unsorted Bool))
% 0.34/0.56  (declare-const |tptp.'$ki_accessible'| (-> |tptp.'$ki_world'| |tptp.'$ki_world'| Bool))
% 0.34/0.56  (define @t1 () (@var "V" |tptp.'$ki_world'|))
% 0.34/0.56  (define @t2 () (@var "W" |tptp.'$ki_world'|))
% 0.34/0.56  (define @t3 () (@list @t2))
% 0.34/0.56  (define @t4 () (@var "X" $$unsorted))
% 0.34/0.56  (define @t5 () (|tptp.'$ki_exists_in_world_$i'| @t2 @t4))
% 0.34/0.56  (define @t6 () (@list @t4))
% 0.34/0.56  (define @t7 () (tptp.teach @t2 tptp.sue tptp.psych))
% 0.34/0.56  (define @t8 () (tptp.teach @t2 tptp.mary tptp.psych))
% 0.34/0.56  (define @t9 () (tptp.teach @t2 @t4 tptp.cs))
% 0.34/0.56  (define @t10 () (and @t5 @t9))
% 0.34/0.56  (define @t11 () (exists @t6 @t10))
% 0.34/0.56  (define @t12 () (tptp.teach @t2 tptp.john tptp.math))
% 0.34/0.56  (define @t13 () (and @t12 @t11 @t8 @t7))
% 0.34/0.56  (define @t14 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t2))
% 0.34/0.56  (define @t15 () (=> @t14 @t13))
% 0.34/0.56  (define @t16 () (forall @t3 @t15))
% 0.34/0.56  (define @t17 () (=> @t14 @t11))
% 0.34/0.56  (define @t18 () (forall @t3 @t17))
% 0.34/0.56  (define @t19 () (not @t18))
% 0.34/0.56  (define @t20 () (not (forall @t6 (or (not @t5) (not @t9)))))
% 0.34/0.56  (define @t21 () (forall @t6 (not @t10)))
% 0.34/0.56  (define @t22 () (not @t21))
% 0.34/0.56  (define @t23 () (@quantifiers_skolemize (forall @t3 (or (not @t14) @t20)) 0))
% 0.34/0.56  (define @t24 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t23))
% 0.34/0.56  (define @t25 () (forall @t6 (or (not (|tptp.'$ki_exists_in_world_$i'| @t23 @t4)) (not (tptp.teach @t23 @t4 tptp.cs)))))
% 0.34/0.56  (define @t26 () (not @t25))
% 0.34/0.56  (define @t27 () (not @t24))
% 0.34/0.56  (define @t28 () (or @t27 @t26))
% 0.34/0.56  (define @t29 () (@list true))
% 0.34/0.56  (define @t30 () (@list @t28))
% 0.34/0.56  (define @t31 () (and (tptp.teach @t23 tptp.john tptp.math) @t26 (tptp.teach @t23 tptp.mary tptp.psych) (tptp.teach @t23 tptp.sue tptp.psych)))
% 0.34/0.56  (define @t32 () (not @t31))
% 0.34/0.56  (define @t33 () (and @t12 @t20 @t8 @t7))
% 0.34/0.56  (define @t34 () (or @t27 @t31))
% 0.34/0.56  (assume @p1 (forall @t3 (exists (@list @t1) (|tptp.'$ki_accessible'| @t2 @t1))))
% 0.34/0.56  (assume @p2 (forall (@list @t2 @t1 @t4) (=> (and @t5 (|tptp.'$ki_accessible'| @t1 @t2)) (|tptp.'$ki_exists_in_world_$i'| @t1 @t4))))
% 0.34/0.56  (assume @p3 (forall @t3 (exists @t6 @t5)))
% 0.34/0.56  (assume @p4 @t16)
% 0.34/0.56  (assume @p5 @t19)
% 0.34/0.56  (assume @p6 true)
% 0.34/0.56  (step @p7 :rule bool-impl-elim :args (@t14 @t20))
% 0.34/0.56  (step @p8 :rule cong :premises (@p7) :args ((forall @t3 (=> @t14 @t20))))
% 0.34/0.56  (step @p9 :rule bool-and-de-morgan :args (@t5 @t9 true))
% 0.34/0.56  (step @p10 :rule cong :premises (@p9) :args (@t21))
% 0.34/0.56  (step @p11 :rule cong :premises (@p10) :args (@t22))
% 0.34/0.56  (step @p12 :rule exists-elim :args ((= @t11 @t22)))
% 0.34/0.56  (step @p13 :rule trans :premises (@p12 @p11))
% 0.34/0.56  (step @p14 :rule refl :args (@t14))
% 0.34/0.56  (step @p15 :rule cong :premises (@p14 @p13) :args (@t17))
% 0.34/0.56  (step @p16 :rule cong :premises (@p15) :args (@t18))
% 0.34/0.56  (step @p17 :rule trans :premises (@p16 @p8))
% 0.34/0.56  (step @p18 :rule cong :premises (@p17) :args (@t19))
% 0.34/0.56  (step @p19 :rule eq_resolve :premises (@p5 @p18))
% 0.34/0.56  (step @p20 :rule skolemize :premises (@p19))
% 0.34/0.56  (step @p21 :rule bool-double-not-elim :args (@t24))
% 0.34/0.56  (step @p22 :rule refl :args (@t28))
% 0.34/0.56  (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or @t28 (not @t27))))
% 0.34/0.56  (step @p24 :rule cnf_or_neg :args (@t28 0))
% 0.34/0.56  (step @p25 :rule eq_resolve :premises (@p24 @p23))
% 0.34/0.56  (step @p26 :rule reordering :premises (@p25) :args ((or @t24 @t28)))
% 0.34/0.56  (step @p27 :rule chain_m_resolution :premises (@p26 @p20) :args (@t24 @t29 @t30))
% 0.34/0.56  (step @p28 :rule bool-double-not-elim :args (@t25))
% 0.34/0.56  (step @p29 :rule nary_cong :premises (@p22 @p28) :args ((or @t28 (not @t26))))
% 0.34/0.56  (step @p30 :rule cnf_or_neg :args (@t28 1))
% 0.34/0.56  (step @p31 :rule eq_resolve :premises (@p30 @p29))
% 0.34/0.56  (step @p32 :rule reordering :premises (@p31) :args ((or @t25 @t28)))
% 0.34/0.56  (step @p33 :rule chain_m_resolution :premises (@p32 @p20) :args (@t25 @t29 @t30))
% 0.34/0.57  (step @p34 :rule cnf_and_pos :args (@t31 1))
% 0.34/0.57  (step @p35 :rule reordering :premises (@p34) :args ((or @t26 @t32)))
% 0.34/0.57  (step @p36 :rule chain_m_resolution :premises (@p35 @p33) :args (@t32 (@list false) (@list @t25)))
% 0.34/0.57  (step @p37 :rule bool-impl-elim :args (@t14 @t33))
% 0.34/0.57  (step @p38 :rule cong :premises (@p37) :args ((forall @t3 (=> @t14 @t33))))
% 0.34/0.57  (step @p39 :rule refl :args (@t7))
% 0.34/0.57  (step @p40 :rule refl :args (@t8))
% 0.34/0.57  (step @p41 :rule refl :args (@t12))
% 0.34/0.57  (step @p42 :rule nary_cong :premises (@p41 @p13 @p40 @p39) :args (@t13))
% 0.34/0.57  (step @p43 :rule cong :premises (@p14 @p42) :args (@t15))
% 0.34/0.57  (step @p44 :rule cong :premises (@p43) :args (@t16))
% 0.34/0.57  (step @p45 :rule trans :premises (@p44 @p38))
% 0.34/0.57  (step @p46 :rule eq_resolve :premises (@p4 @p45))
% 0.34/0.57  (step @p47 :rule instantiate :premises (@p46) :args ((@list @t23)))
% 0.34/0.57  (step @p48 :rule cnf_or_pos :args (@t34))
% 0.34/0.57  (step @p49 :rule reordering :premises (@p48) :args ((or @t27 @t31 (not @t34))))
% 0.34/0.57  (step @p50 false :rule chain_m_resolution :premises (@p49 @p47 @p36 @p27) :args (false (@list false true false) (@list @t34 @t31 @t24)))
% 0.34/0.57  )
% 0.34/0.57  % SZS output end Proof
% 0.34/0.57  % cvc5 exiting
%------------------------------------------------------------------------------