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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : DAT333_3 : 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 : n026.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 08:14:45 AM UTC 2026

% Result   : Theorem 27.53s 27.71s
% Output   : Proof 27.53s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : DAT333_3 : TPTP v9.2.1. Released v8.2.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.35  % Computer : n026.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 22:32:40 EDT 2026
% 0.18/0.35  % CPUTime  : 
% 0.34/0.50  %----Proving TF0_NAR, FOF, or CNF
% 27.53/27.71  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 27.53/27.71  --- Run --no-e-matching --full-saturate-quant at 6...
% 27.53/27.71  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 27.53/27.71  --- Run --finite-model-find --uf-ss=no-minimal at 6...
% 27.53/27.71  % SZS status Theorem
% 27.53/27.71  % SZS output start Proof
% 27.53/27.71  (
% 27.53/27.71  (declare-sort |tptp.'$ki_world'| 0)
% 27.53/27.71  (declare-sort $$unsorted 0)
% 27.53/27.71  (declare-const |tptp.'$ki_local_world'| |tptp.'$ki_world'|)
% 27.53/27.71  (declare-const tptp.john $$unsorted)
% 27.53/27.71  (declare-const tptp.math $$unsorted)
% 27.53/27.71  (declare-const tptp.cs $$unsorted)
% 27.53/27.71  (declare-const tptp.mary $$unsorted)
% 27.53/27.71  (declare-const tptp.teach (-> |tptp.'$ki_world'| $$unsorted $$unsorted Bool))
% 27.53/27.71  (declare-const tptp.sue $$unsorted)
% 27.53/27.71  (declare-const tptp.psych $$unsorted)
% 27.53/27.71  (declare-const |tptp.'$ki_exists_in_world_$i'| (-> |tptp.'$ki_world'| $$unsorted Bool))
% 27.53/27.71  (declare-const |tptp.'$ki_accessible'| (-> |tptp.'$ki_world'| |tptp.'$ki_world'| Bool))
% 27.53/27.71  (define @t1 () (@var "V" |tptp.'$ki_world'|))
% 27.53/27.71  (define @t2 () (@var "W" |tptp.'$ki_world'|))
% 27.53/27.71  (define @t3 () (@list @t2))
% 27.53/27.71  (define @t4 () (@var "X" $$unsorted))
% 27.53/27.71  (define @t5 () (|tptp.'$ki_exists_in_world_$i'| @t2 @t4))
% 27.53/27.71  (define @t6 () (@list @t4))
% 27.53/27.71  (define @t7 () (tptp.teach @t2 tptp.sue tptp.psych))
% 27.53/27.71  (define @t8 () (tptp.teach @t2 tptp.mary tptp.psych))
% 27.53/27.71  (define @t9 () (tptp.teach @t2 @t4 tptp.cs))
% 27.53/27.71  (define @t10 () (and @t5 @t9))
% 27.53/27.71  (define @t11 () (exists @t6 @t10))
% 27.53/27.71  (define @t12 () (tptp.teach @t2 tptp.john tptp.math))
% 27.53/27.71  (define @t13 () (and @t12 @t11 @t8 @t7))
% 27.53/27.71  (define @t14 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t2))
% 27.53/27.71  (define @t15 () (=> @t14 @t13))
% 27.53/27.71  (define @t16 () (forall @t3 @t15))
% 27.53/27.71  (define @t17 () (tptp.teach @t2 tptp.john @t4))
% 27.53/27.71  (define @t18 () (forall @t3 (=> @t14 @t17)))
% 27.53/27.71  (define @t19 () (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| @t4))
% 27.53/27.71  (define @t20 () (and @t19 @t18))
% 27.53/27.71  (define @t21 () (exists @t6 @t20))
% 27.53/27.71  (define @t22 () (not @t21))
% 27.53/27.71  (define @t23 () (not @t14))
% 27.53/27.71  (define @t24 () (forall @t3 (or @t23 @t17)))
% 27.53/27.71  (define @t25 () (and @t19 @t24))
% 27.53/27.71  (define @t26 () (forall @t6 (not @t25)))
% 27.53/27.71  (define @t27 () (not @t26))
% 27.53/27.71  (define @t28 () (forall @t3 (or @t23 @t12)))
% 27.53/27.71  (define @t29 () (not @t28))
% 27.53/27.71  (define @t30 () (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| tptp.math))
% 27.53/27.71  (define @t31 () (not @t30))
% 27.53/27.71  (define @t32 () (or @t31 @t29))
% 27.53/27.71  (define @t33 () (@quantifiers_skolemize @t28 0))
% 27.53/27.71  (define @t34 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t33))
% 27.53/27.71  (define @t35 () (tptp.teach @t33 tptp.john tptp.math))
% 27.53/27.71  (define @t36 () (not @t34))
% 27.53/27.71  (define @t37 () (or @t36 @t35))
% 27.53/27.71  (define @t38 () (@list true))
% 27.53/27.71  (define @t39 () (@list @t37))
% 27.53/27.71  (define @t40 () (and @t35 (not (forall @t6 (or (not (|tptp.'$ki_exists_in_world_$i'| @t33 @t4)) (not (tptp.teach @t33 @t4 tptp.cs))))) (tptp.teach @t33 tptp.mary tptp.psych) (tptp.teach @t33 tptp.sue tptp.psych)))
% 27.53/27.71  (define @t41 () (not @t40))
% 27.53/27.71  (define @t42 () (and @t12 (not (forall @t6 (or (not @t5) (not @t9)))) @t8 @t7))
% 27.53/27.71  (define @t43 () (forall @t6 (not @t10)))
% 27.53/27.71  (define @t44 () (not @t43))
% 27.53/27.71  (define @t45 () (or @t36 @t40))
% 27.53/27.71  (assume @p1 (forall @t3 (exists (@list @t1) (|tptp.'$ki_accessible'| @t2 @t1))))
% 27.53/27.71  (assume @p2 (forall (@list @t2 @t4) @t5))
% 27.53/27.71  (assume @p3 (forall @t3 (exists @t6 @t5)))
% 27.53/27.71  (assume @p4 @t16)
% 27.53/27.71  (assume @p5 @t22)
% 27.53/27.71  (assume @p6 true)
% 27.53/27.71  (step @p7 :rule bool-double-not-elim :args ((forall @t6 (or (not @t19) (not @t24)))))
% 27.53/27.71  (step @p8 :rule bool-and-de-morgan :args (@t19 @t24 true))
% 27.53/27.71  (step @p9 :rule cong :premises (@p8) :args (@t26))
% 27.53/27.71  (step @p10 :rule cong :premises (@p9) :args (@t27))
% 27.53/27.71  (step @p11 :rule exists-elim :args ((= (exists @t6 @t25) @t27)))
% 27.53/27.71  (step @p12 :rule trans :premises (@p11 @p10))
% 27.53/27.71  (step @p13 :rule bool-impl-elim :args (@t14 @t17))
% 27.53/27.71  (step @p14 :rule cong :premises (@p13) :args (@t18))
% 27.53/27.71  (step @p15 :rule refl :args (@t19))
% 27.53/27.71  (step @p16 :rule nary_cong :premises (@p15 @p14) :args (@t20))
% 27.53/27.71  (step @p17 :rule cong :premises (@p16) :args (@t21))
% 27.53/27.71  (step @p18 :rule trans :premises (@p17 @p12))
% 27.53/27.71  (step @p19 :rule cong :premises (@p18) :args (@t22))
% 27.53/27.71  (step @p20 :rule trans :premises (@p19 @p7))
% 27.53/27.71  (step @p21 :rule eq_resolve :premises (@p5 @p20))
% 27.53/27.71  (step @p22 :rule instantiate :premises (@p21) :args ((@list tptp.math)))
% 27.53/27.71  (step @p23 :rule instantiate :premises (@p2) :args ((@list |tptp.'$ki_local_world'| tptp.math)))
% 27.53/27.71  (step @p24 :rule cnf_or_pos :args (@t32))
% 27.53/27.71  (step @p25 :rule reordering :premises (@p24) :args ((or @t31 @t29 (not @t32))))
% 27.53/27.71  (step @p26 :rule chain_m_resolution :premises (@p25 @p23 @p22) :args (@t29 (@list false false) (@list @t30 @t32)))
% 27.53/27.71  (step @p27 :rule skolemize :premises (@p26))
% 27.53/27.71  (step @p28 :rule bool-double-not-elim :args (@t34))
% 27.53/27.71  (step @p29 :rule refl :args (@t37))
% 27.53/27.71  (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or @t37 (not @t36))))
% 27.53/27.71  (step @p31 :rule cnf_or_neg :args (@t37 0))
% 27.53/27.71  (step @p32 :rule eq_resolve :premises (@p31 @p30))
% 27.53/27.71  (step @p33 :rule reordering :premises (@p32) :args ((or @t34 @t37)))
% 27.53/27.71  (step @p34 :rule chain_m_resolution :premises (@p33 @p27) :args (@t34 @t38 @t39))
% 27.53/27.71  (step @p35 :rule cnf_or_neg :args (@t37 1))
% 27.53/27.71  (step @p36 :rule chain_m_resolution :premises (@p35 @p27) :args ((not @t35) @t38 @t39))
% 27.53/27.71  (step @p37 :rule cnf_and_pos :args (@t40 0))
% 27.53/27.71  (step @p38 :rule reordering :premises (@p37) :args ((or @t35 @t41)))
% 27.53/27.71  (step @p39 :rule chain_m_resolution :premises (@p38 @p36) :args (@t41 @t38 (@list @t35)))
% 27.53/27.71  (step @p40 :rule bool-impl-elim :args (@t14 @t42))
% 27.53/27.71  (step @p41 :rule cong :premises (@p40) :args ((forall @t3 (=> @t14 @t42))))
% 27.53/27.71  (step @p42 :rule refl :args (@t7))
% 27.53/27.71  (step @p43 :rule refl :args (@t8))
% 27.53/27.71  (step @p44 :rule bool-and-de-morgan :args (@t5 @t9 true))
% 27.53/27.71  (step @p45 :rule cong :premises (@p44) :args (@t43))
% 27.53/27.71  (step @p46 :rule cong :premises (@p45) :args (@t44))
% 27.53/27.71  (step @p47 :rule exists-elim :args ((= @t11 @t44)))
% 27.53/27.71  (step @p48 :rule trans :premises (@p47 @p46))
% 27.53/27.71  (step @p49 :rule refl :args (@t12))
% 27.53/27.71  (step @p50 :rule nary_cong :premises (@p49 @p48 @p43 @p42) :args (@t13))
% 27.53/27.71  (step @p51 :rule refl :args (@t14))
% 27.53/27.71  (step @p52 :rule cong :premises (@p51 @p50) :args (@t15))
% 27.53/27.71  (step @p53 :rule cong :premises (@p52) :args (@t16))
% 27.53/27.71  (step @p54 :rule trans :premises (@p53 @p41))
% 27.53/27.71  (step @p55 :rule eq_resolve :premises (@p4 @p54))
% 27.53/27.71  (step @p56 :rule instantiate :premises (@p55) :args ((@list @t33)))
% 27.53/27.71  (step @p57 :rule cnf_or_pos :args (@t45))
% 27.53/27.71  (step @p58 :rule reordering :premises (@p57) :args ((or @t36 @t40 (not @t45))))
% 27.53/27.71  (step @p59 false :rule chain_m_resolution :premises (@p58 @p56 @p39 @p34) :args (false (@list false true false) (@list @t45 @t40 @t34)))
% 27.53/27.71  )
% 27.53/27.71  % SZS output end Proof
% 27.53/27.71  % cvc5 exiting
%------------------------------------------------------------------------------