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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : DAT334_8 : 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 : n017.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 0.30s 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  : DAT334_8 : TPTP v9.2.1. Released v8.2.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.33  % Computer : n017.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit : 300
% 0.15/0.34  % WCLimit  : 300
% 0.15/0.34  % DateTime : Mon Jun  1 22:31:01 EDT 2026
% 0.15/0.34  % 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 $$unsorted 0)
% 0.30/0.54  (declare-const |tptp.'$ki_local_world'| |tptp.'$ki_world'|)
% 0.30/0.54  (declare-const tptp.john $$unsorted)
% 0.30/0.54  (declare-const tptp.math $$unsorted)
% 0.30/0.54  (declare-const tptp.mary $$unsorted)
% 0.30/0.54  (declare-const tptp.teach (-> |tptp.'$ki_world'| $$unsorted $$unsorted Bool))
% 0.30/0.54  (declare-const tptp.sue $$unsorted)
% 0.30/0.54  (declare-const tptp.psych $$unsorted)
% 0.30/0.54  (declare-const |tptp.'$ki_exists_in_world_$i'| (-> |tptp.'$ki_world'| $$unsorted Bool))
% 0.30/0.54  (declare-const tptp.cs $$unsorted)
% 0.30/0.54  (declare-const |tptp.'$ki_accessible'| (-> |tptp.'$ki_world'| |tptp.'$ki_world'| Bool))
% 0.30/0.54  (define @t1 () (@var "W" |tptp.'$ki_world'|))
% 0.30/0.54  (define @t2 () (@list @t1))
% 0.30/0.54  (define @t3 () (@var "X" $$unsorted))
% 0.30/0.54  (define @t4 () (|tptp.'$ki_exists_in_world_$i'| @t1 @t3))
% 0.30/0.54  (define @t5 () (@list @t3))
% 0.30/0.54  (define @t6 () (tptp.teach @t1 tptp.sue tptp.psych))
% 0.30/0.54  (define @t7 () (tptp.teach @t1 tptp.mary tptp.psych))
% 0.30/0.54  (define @t8 () (tptp.teach @t1 @t3 tptp.cs))
% 0.30/0.54  (define @t9 () (and @t4 @t8))
% 0.30/0.54  (define @t10 () (exists @t5 @t9))
% 0.30/0.54  (define @t11 () (tptp.teach @t1 tptp.john tptp.math))
% 0.30/0.54  (define @t12 () (and @t11 @t10 @t7 @t6))
% 0.30/0.54  (define @t13 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t1))
% 0.30/0.54  (define @t14 () (=> @t13 @t12))
% 0.30/0.54  (define @t15 () (forall @t2 @t14))
% 0.30/0.54  (define @t16 () (=> @t13 @t10))
% 0.30/0.54  (define @t17 () (forall @t2 @t16))
% 0.30/0.54  (define @t18 () (not @t17))
% 0.30/0.54  (define @t19 () (not (forall @t5 (or (not @t4) (not @t8)))))
% 0.30/0.54  (define @t20 () (forall @t5 (not @t9)))
% 0.30/0.54  (define @t21 () (not @t20))
% 0.30/0.54  (define @t22 () (@quantifiers_skolemize (forall @t2 (or (not @t13) @t19)) 0))
% 0.30/0.54  (define @t23 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t22))
% 0.30/0.54  (define @t24 () (forall @t5 (or (not (|tptp.'$ki_exists_in_world_$i'| @t22 @t3)) (not (tptp.teach @t22 @t3 tptp.cs)))))
% 0.30/0.54  (define @t25 () (not @t24))
% 0.30/0.54  (define @t26 () (not @t23))
% 0.30/0.54  (define @t27 () (or @t26 @t25))
% 0.30/0.54  (define @t28 () (@list true))
% 0.30/0.54  (define @t29 () (@list @t27))
% 0.30/0.54  (define @t30 () (and (tptp.teach @t22 tptp.john tptp.math) @t25 (tptp.teach @t22 tptp.mary tptp.psych) (tptp.teach @t22 tptp.sue tptp.psych)))
% 0.30/0.54  (define @t31 () (not @t30))
% 0.30/0.54  (define @t32 () (and @t11 @t19 @t7 @t6))
% 0.30/0.54  (define @t33 () (or @t26 @t30))
% 0.30/0.54  (assume @p1 (forall @t2 (|tptp.'$ki_accessible'| @t1 @t1)))
% 0.30/0.54  (assume @p2 (forall @t2 (exists @t5 @t4)))
% 0.30/0.54  (assume @p3 @t15)
% 0.30/0.54  (assume @p4 @t18)
% 0.30/0.54  (assume @p5 true)
% 0.30/0.54  (step @p6 :rule bool-impl-elim :args (@t13 @t19))
% 0.30/0.54  (step @p7 :rule cong :premises (@p6) :args ((forall @t2 (=> @t13 @t19))))
% 0.30/0.54  (step @p8 :rule bool-and-de-morgan :args (@t4 @t8 true))
% 0.30/0.54  (step @p9 :rule cong :premises (@p8) :args (@t20))
% 0.30/0.54  (step @p10 :rule cong :premises (@p9) :args (@t21))
% 0.30/0.54  (step @p11 :rule exists-elim :args ((= @t10 @t21)))
% 0.30/0.54  (step @p12 :rule trans :premises (@p11 @p10))
% 0.30/0.54  (step @p13 :rule refl :args (@t13))
% 0.30/0.54  (step @p14 :rule cong :premises (@p13 @p12) :args (@t16))
% 0.30/0.54  (step @p15 :rule cong :premises (@p14) :args (@t17))
% 0.30/0.54  (step @p16 :rule trans :premises (@p15 @p7))
% 0.30/0.54  (step @p17 :rule cong :premises (@p16) :args (@t18))
% 0.30/0.54  (step @p18 :rule eq_resolve :premises (@p4 @p17))
% 0.30/0.54  (step @p19 :rule skolemize :premises (@p18))
% 0.30/0.54  (step @p20 :rule bool-double-not-elim :args (@t23))
% 0.30/0.54  (step @p21 :rule refl :args (@t27))
% 0.30/0.54  (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or @t27 (not @t26))))
% 0.30/0.54  (step @p23 :rule cnf_or_neg :args (@t27 0))
% 0.30/0.54  (step @p24 :rule eq_resolve :premises (@p23 @p22))
% 0.30/0.54  (step @p25 :rule reordering :premises (@p24) :args ((or @t23 @t27)))
% 0.30/0.54  (step @p26 :rule chain_m_resolution :premises (@p25 @p19) :args (@t23 @t28 @t29))
% 0.30/0.54  (step @p27 :rule bool-double-not-elim :args (@t24))
% 0.30/0.54  (step @p28 :rule nary_cong :premises (@p21 @p27) :args ((or @t27 (not @t25))))
% 0.30/0.54  (step @p29 :rule cnf_or_neg :args (@t27 1))
% 0.30/0.54  (step @p30 :rule eq_resolve :premises (@p29 @p28))
% 0.30/0.54  (step @p31 :rule reordering :premises (@p30) :args ((or @t24 @t27)))
% 0.30/0.54  (step @p32 :rule chain_m_resolution :premises (@p31 @p19) :args (@t24 @t28 @t29))
% 0.30/0.54  (step @p33 :rule cnf_and_pos :args (@t30 1))
% 0.30/0.54  (step @p34 :rule reordering :premises (@p33) :args ((or @t25 @t31)))
% 0.30/0.54  (step @p35 :rule chain_m_resolution :premises (@p34 @p32) :args (@t31 (@list false) (@list @t24)))
% 0.30/0.55  (step @p36 :rule bool-impl-elim :args (@t13 @t32))
% 0.30/0.55  (step @p37 :rule cong :premises (@p36) :args ((forall @t2 (=> @t13 @t32))))
% 0.30/0.55  (step @p38 :rule refl :args (@t6))
% 0.30/0.55  (step @p39 :rule refl :args (@t7))
% 0.30/0.55  (step @p40 :rule refl :args (@t11))
% 0.30/0.55  (step @p41 :rule nary_cong :premises (@p40 @p12 @p39 @p38) :args (@t12))
% 0.30/0.55  (step @p42 :rule cong :premises (@p13 @p41) :args (@t14))
% 0.30/0.55  (step @p43 :rule cong :premises (@p42) :args (@t15))
% 0.30/0.55  (step @p44 :rule trans :premises (@p43 @p37))
% 0.30/0.55  (step @p45 :rule eq_resolve :premises (@p3 @p44))
% 0.30/0.55  (step @p46 :rule instantiate :premises (@p45) :args ((@list @t22)))
% 0.30/0.55  (step @p47 :rule cnf_or_pos :args (@t33))
% 0.30/0.55  (step @p48 :rule reordering :premises (@p47) :args ((or @t26 @t30 (not @t33))))
% 0.30/0.55  (step @p49 false :rule chain_m_resolution :premises (@p48 @p46 @p35 @p26) :args (false (@list false true false) (@list @t33 @t30 @t23)))
% 0.30/0.55  )
% 0.30/0.55  % SZS output end Proof
% 0.30/0.55  % cvc5 exiting
%------------------------------------------------------------------------------