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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYO898_9 : 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 : n019.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 09:13:44 AM UTC 2026

% Result   : Theorem 0.34s 0.55s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SYO898_9 : 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
% 0.17/0.35  % Computer : n019.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Wed Jun  3 01:09:19 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.34/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.34/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.34/0.55  % SZS status Theorem
% 0.34/0.55  % SZS output start Proof
% 0.34/0.55  (
% 0.34/0.55  (declare-sort |tptp.'$ki_world'| 0)
% 0.34/0.55  (declare-const |tptp.'$ki_local_world'| |tptp.'$ki_world'|)
% 0.34/0.55  (declare-const tptp.q (-> |tptp.'$ki_world'| Bool))
% 0.34/0.55  (declare-const tptp.p (-> |tptp.'$ki_world'| Bool))
% 0.34/0.55  (declare-const |tptp.'$ki_accessible'| (-> |tptp.'$ki_world'| |tptp.'$ki_world'| Bool))
% 0.34/0.55  (define @t1 () (@var "V" |tptp.'$ki_world'|))
% 0.34/0.55  (define @t2 () (@var "W" |tptp.'$ki_world'|))
% 0.34/0.55  (define @t3 () (|tptp.'$ki_accessible'| @t2 @t1))
% 0.34/0.55  (define @t4 () (@list @t1))
% 0.34/0.55  (define @t5 () (exists @t4 @t3))
% 0.34/0.55  (define @t6 () (@list @t2))
% 0.34/0.55  (define @t7 () (forall @t6 @t5))
% 0.34/0.55  (define @t8 () (tptp.p @t2))
% 0.34/0.55  (define @t9 () (tptp.q @t2))
% 0.34/0.55  (define @t10 () (=> @t9 @t8))
% 0.34/0.55  (define @t11 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t2))
% 0.34/0.55  (define @t12 () (and @t11 @t10))
% 0.34/0.55  (define @t13 () (exists @t6 @t12))
% 0.34/0.55  (define @t14 () (forall @t6 (=> @t11 @t8)))
% 0.34/0.55  (define @t15 () (=> @t14 @t13))
% 0.34/0.55  (define @t16 () (not @t15))
% 0.34/0.55  (define @t17 () (not @t11))
% 0.34/0.55  (define @t18 () (forall @t6 (not @t12)))
% 0.34/0.55  (define @t19 () (not @t18))
% 0.34/0.55  (define @t20 () (forall @t4 (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t1))))
% 0.34/0.55  (define @t21 () (@quantifiers_skolemize @t20 0))
% 0.34/0.55  (define @t22 () (@list @t21))
% 0.34/0.55  (define @t23 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t21))
% 0.34/0.55  (define @t24 () (not @t20))
% 0.34/0.55  (define @t25 () (not @t23))
% 0.34/0.55  (define @t26 () (not @t25))
% 0.34/0.55  (define @t27 () (tptp.p @t21))
% 0.34/0.55  (define @t28 () (or @t25 @t27))
% 0.34/0.55  (define @t29 () (@list false false))
% 0.34/0.55  (define @t30 () (not @t27))
% 0.34/0.55  (define @t31 () (and (tptp.q @t21) @t30))
% 0.34/0.55  (define @t32 () (or @t25 @t31))
% 0.34/0.55  (assume @p1 @t7)
% 0.34/0.55  (assume @p2 @t16)
% 0.34/0.55  (assume @p3 true)
% 0.34/0.55  (step @p4 :rule bool-implies-de-morgan :args (@t9 @t8))
% 0.34/0.55  (step @p5 :rule refl :args (@t17))
% 0.34/0.55  (step @p6 :rule nary_cong :premises (@p5 @p4) :args ((or @t17 (not @t10))))
% 0.34/0.55  (step @p7 :rule bool-and-de-morgan :args (@t11 @t10 true))
% 0.34/0.55  (step @p8 :rule trans :premises (@p7 @p6))
% 0.34/0.55  (step @p9 :rule cong :premises (@p8) :args (@t18))
% 0.34/0.55  (step @p10 :rule cong :premises (@p9) :args (@t19))
% 0.34/0.55  (step @p11 :rule exists-elim :args ((= @t13 @t19)))
% 0.34/0.55  (step @p12 :rule trans :premises (@p11 @p10))
% 0.34/0.55  (step @p13 :rule bool-impl-elim :args (@t11 @t8))
% 0.34/0.55  (step @p14 :rule cong :premises (@p13) :args (@t14))
% 0.34/0.55  (step @p15 :rule cong :premises (@p14 @p12) :args (@t15))
% 0.34/0.55  (step @p16 :rule cong :premises (@p15) :args (@t16))
% 0.34/0.55  (step @p17 :rule eq_resolve :premises (@p2 @p16))
% 0.34/0.55  (step @p18 :rule not_implies_elim1 :premises (@p17))
% 0.34/0.55  (step @p19 :rule instantiate :premises (@p18) :args (@t22))
% 0.34/0.55  (step @p20 :rule exists-elim :args ((= @t5 (not (forall @t4 (not @t3))))))
% 0.34/0.55  (step @p21 :rule cong :premises (@p20) :args (@t7))
% 0.34/0.55  (step @p22 :rule eq_resolve :premises (@p1 @p21))
% 0.34/0.55  (step @p23 :rule instantiate :premises (@p22) :args ((@list |tptp.'$ki_local_world'|)))
% 0.34/0.55  (step @p24 :rule refl :args (@t23))
% 0.34/0.55  (step @p25 :rule bool-double-not-elim :args (@t20))
% 0.34/0.55  (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((or (not @t24) @t23)))
% 0.34/0.55  (step @p27 :rule bool-double-not-elim :args (@t23))
% 0.34/0.55  (step @p28 :rule refl :args (@t24))
% 0.34/0.55  (step @p29 :rule cong :premises (@p28 @p27) :args ((=> @t24 @t26)))
% 0.34/0.55  (assume-push @p50 @t24)
% 0.34/0.55  (step @p31 :rule skolemize :premises (@p23))
% 0.34/0.55  (step-pop @p51 :rule scope :premises (@p31))
% 0.34/0.55  (step @p32 :rule process_scope :premises (@p51) :args (@t26))
% 0.34/0.55  (step @p34 :rule eq_resolve :premises (@p32 @p29))
% 0.34/0.55  (step @p35 :rule implies_elim :premises (@p34))
% 0.34/0.55  (step @p36 :rule eq_resolve :premises (@p35 @p26))
% 0.34/0.55  (step @p37 :rule chain_m_resolution :premises (@p36 @p23) :args (@t23 (@list true) (@list @t20)))
% 0.34/0.55  (step @p38 :rule cnf_or_pos :args (@t28))
% 0.34/0.55  (step @p39 :rule reordering :premises (@p38) :args ((or @t25 @t27 (not @t28))))
% 0.34/0.55  (step @p40 :rule chain_m_resolution :premises (@p39 @p37 @p19) :args (@t27 @t29 (@list @t23 @t28)))
% 0.34/0.55  (step @p41 :rule not_implies_elim2 :premises (@p17))
% 0.34/0.55  (step @p42 :rule not_not_elim :premises (@p41))
% 0.34/0.55  (step @p43 :rule instantiate :premises (@p42) :args (@t22))
% 0.34/0.55  (step @p44 :rule cnf_or_pos :args (@t32))
% 0.34/0.55  (step @p45 :rule reordering :premises (@p44) :args ((or @t25 @t31 (not @t32))))
% 0.34/0.55  (step @p46 :rule chain_m_resolution :premises (@p45 @p37 @p43) :args (@t31 @t29 (@list @t23 @t32)))
% 0.34/0.56  (step @p47 :rule cnf_and_pos :args (@t31 1))
% 0.34/0.56  (step @p48 :rule reordering :premises (@p47) :args ((or @t30 (not @t31))))
% 0.34/0.56  (step @p49 false :rule chain_m_resolution :premises (@p48 @p46 @p40) :args (false @t29 (@list @t31 @t27)))
% 0.34/0.56  )
% 0.34/0.56  % SZS output end Proof
% 0.34/0.56  % cvc5 exiting
%------------------------------------------------------------------------------