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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYO896_7 : 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 : n009.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 0.39s 0.56s
% Output   : Proof 0.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SYO896_7 : 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 : n009.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 01:08:59 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.28/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.39/0.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.39/0.56  % SZS status Theorem
% 0.39/0.56  % SZS output start Proof
% 0.39/0.56  (
% 0.39/0.56  (declare-sort |tptp.'$ki_world'| 0)
% 0.39/0.56  (declare-const tptp.q (-> |tptp.'$ki_world'| Bool))
% 0.39/0.56  (declare-const |tptp.'$ki_accessible'| (-> |tptp.'$ki_world'| |tptp.'$ki_world'| Bool))
% 0.39/0.56  (declare-const |tptp.'$ki_local_world'| |tptp.'$ki_world'|)
% 0.39/0.56  (declare-const tptp.p (-> |tptp.'$ki_world'| Bool))
% 0.39/0.56  (define @t1 () (@var "W" |tptp.'$ki_world'|))
% 0.39/0.56  (define @t2 () (tptp.p @t1))
% 0.39/0.56  (define @t3 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t1))
% 0.39/0.56  (define @t4 () (and @t3 @t2))
% 0.39/0.56  (define @t5 () (@list @t1))
% 0.39/0.56  (define @t6 () (exists @t5 @t4))
% 0.39/0.56  (define @t7 () (not @t6))
% 0.39/0.56  (define @t8 () (tptp.q @t1))
% 0.39/0.56  (define @t9 () (not @t8))
% 0.39/0.56  (define @t10 () (=> @t2 @t9))
% 0.39/0.56  (define @t11 () (forall @t5 (=> @t3 @t10)))
% 0.39/0.56  (define @t12 () (=> @t2 @t8))
% 0.39/0.56  (define @t13 () (forall @t5 (=> @t3 @t12)))
% 0.39/0.56  (define @t14 () (and @t13 @t11))
% 0.39/0.56  (define @t15 () (=> @t14 @t7))
% 0.39/0.56  (define @t16 () (not @t15))
% 0.39/0.56  (define @t17 () (not @t2))
% 0.39/0.56  (define @t18 () (not @t3))
% 0.39/0.56  (define @t19 () (forall @t5 (or @t18 @t17)))
% 0.39/0.56  (define @t20 () (forall @t5 (not @t4)))
% 0.39/0.56  (define @t21 () (not @t20))
% 0.39/0.56  (define @t22 () (@quantifiers_skolemize @t19 0))
% 0.39/0.56  (define @t23 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t22))
% 0.39/0.56  (define @t24 () (tptp.p @t22))
% 0.39/0.56  (define @t25 () (not @t24))
% 0.39/0.56  (define @t26 () (not @t23))
% 0.39/0.56  (define @t27 () (or @t26 @t25))
% 0.39/0.56  (define @t28 () (@list true))
% 0.39/0.56  (define @t29 () (@list @t27))
% 0.39/0.56  (define @t30 () (@list @t22))
% 0.39/0.56  (define @t31 () (tptp.q @t22))
% 0.39/0.56  (define @t32 () (or @t26 @t25 @t31))
% 0.39/0.56  (define @t33 () (not @t31))
% 0.39/0.56  (define @t34 () (or @t26 @t25 @t33))
% 0.39/0.56  (assume @p1 @t16)
% 0.39/0.56  (assume @p2 true)
% 0.39/0.56  (step @p3 :rule bool-double-not-elim :args (@t19))
% 0.39/0.56  (step @p4 :rule bool-and-de-morgan :args (@t3 @t2 true))
% 0.39/0.56  (step @p5 :rule cong :premises (@p4) :args (@t20))
% 0.39/0.56  (step @p6 :rule cong :premises (@p5) :args (@t21))
% 0.39/0.56  (step @p7 :rule exists-elim :args ((= @t6 @t21)))
% 0.39/0.56  (step @p8 :rule trans :premises (@p7 @p6))
% 0.39/0.56  (step @p9 :rule cong :premises (@p8) :args (@t7))
% 0.39/0.56  (step @p10 :rule trans :premises (@p9 @p3))
% 0.39/0.56  (step @p11 :rule aci_norm :args ((= (or @t18 (or @t17 @t9)) (or @t18 @t17 @t9))))
% 0.39/0.56  (step @p12 :rule bool-impl-elim :args (@t2 @t9))
% 0.39/0.56  (step @p13 :rule refl :args (@t18))
% 0.39/0.56  (step @p14 :rule nary_cong :premises (@p13 @p12) :args ((or @t18 @t10)))
% 0.39/0.56  (step @p15 :rule trans :premises (@p14 @p11))
% 0.39/0.56  (step @p16 :rule bool-impl-elim :args (@t3 @t10))
% 0.39/0.56  (step @p17 :rule trans :premises (@p16 @p15))
% 0.39/0.56  (step @p18 :rule cong :premises (@p17) :args (@t11))
% 0.39/0.56  (step @p19 :rule aci_norm :args ((= (or @t18 (or @t17 @t8)) (or @t18 @t17 @t8))))
% 0.39/0.56  (step @p20 :rule bool-impl-elim :args (@t2 @t8))
% 0.39/0.56  (step @p21 :rule nary_cong :premises (@p13 @p20) :args ((or @t18 @t12)))
% 0.39/0.56  (step @p22 :rule trans :premises (@p21 @p19))
% 0.39/0.56  (step @p23 :rule bool-impl-elim :args (@t3 @t12))
% 0.39/0.56  (step @p24 :rule trans :premises (@p23 @p22))
% 0.39/0.56  (step @p25 :rule cong :premises (@p24) :args (@t13))
% 0.39/0.56  (step @p26 :rule nary_cong :premises (@p25 @p18) :args (@t14))
% 0.39/0.56  (step @p27 :rule cong :premises (@p26 @p10) :args (@t15))
% 0.39/0.56  (step @p28 :rule cong :premises (@p27) :args (@t16))
% 0.39/0.56  (step @p29 :rule eq_resolve :premises (@p1 @p28))
% 0.39/0.56  (step @p30 :rule not_implies_elim2 :premises (@p29))
% 0.39/0.56  (step @p31 :rule skolemize :premises (@p30))
% 0.39/0.56  (step @p32 :rule bool-double-not-elim :args (@t23))
% 0.39/0.56  (step @p33 :rule refl :args (@t27))
% 0.39/0.56  (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or @t27 (not @t26))))
% 0.39/0.56  (step @p35 :rule cnf_or_neg :args (@t27 0))
% 0.39/0.56  (step @p36 :rule eq_resolve :premises (@p35 @p34))
% 0.39/0.56  (step @p37 :rule reordering :premises (@p36) :args ((or @t23 @t27)))
% 0.39/0.56  (step @p38 :rule chain_m_resolution :premises (@p37 @p31) :args (@t23 @t28 @t29))
% 0.39/0.56  (step @p39 :rule bool-double-not-elim :args (@t24))
% 0.39/0.56  (step @p40 :rule nary_cong :premises (@p33 @p39) :args ((or @t27 (not @t25))))
% 0.39/0.56  (step @p41 :rule cnf_or_neg :args (@t27 1))
% 0.39/0.56  (step @p42 :rule eq_resolve :premises (@p41 @p40))
% 0.39/0.56  (step @p43 :rule reordering :premises (@p42) :args ((or @t24 @t27)))
% 0.39/0.56  (step @p44 :rule chain_m_resolution :premises (@p43 @p31) :args (@t24 @t28 @t29))
% 0.39/0.56  (step @p45 :rule not_implies_elim1 :premises (@p29))
% 0.39/0.56  (step @p46 :rule and_elim :premises (@p45) :args (1))
% 0.39/0.57  (step @p47 :rule instantiate :premises (@p46) :args (@t30))
% 0.39/0.57  (step @p48 :rule and_elim :premises (@p45) :args (0))
% 0.39/0.57  (step @p49 :rule instantiate :premises (@p48) :args (@t30))
% 0.39/0.57  (step @p50 :rule cnf_or_pos :args (@t32))
% 0.39/0.57  (step @p51 :rule reordering :premises (@p50) :args ((or @t26 @t25 @t31 (not @t32))))
% 0.39/0.57  (step @p52 :rule chain_m_resolution :premises (@p51 @p38 @p44 @p49) :args (@t31 (@list false false false) (@list @t23 @t24 @t32)))
% 0.39/0.57  (step @p53 :rule cnf_or_pos :args (@t34))
% 0.39/0.57  (step @p54 :rule reordering :premises (@p53) :args ((or @t26 @t25 @t33 (not @t34))))
% 0.39/0.57  (step @p55 false :rule chain_m_resolution :premises (@p54 @p52 @p47 @p44 @p38) :args (false (@list false false false false) (@list @t31 @t34 @t24 @t23)))
% 0.39/0.57  )
% 0.39/0.57  % SZS output end Proof
% 0.39/0.57  % cvc5 exiting
%------------------------------------------------------------------------------