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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYO894_8 : 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 : n012.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 09:13:43 AM UTC 2026

% Result   : Theorem 0.14s 0.37s
% Output   : Proof 0.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : SYO894_8 : TPTP v9.2.1. Released v8.2.0.
% 0.00/0.07  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.25  % Computer : n012.cluster.edu
% 0.07/0.25  % Model    : x86_64 x86_64
% 0.07/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25  % Memory   : 8042.1875MB
% 0.07/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25  % CPULimit : 300
% 0.07/0.25  % WCLimit  : 300
% 0.07/0.25  % DateTime : Wed Jun  3 01:09:03 EDT 2026
% 0.07/0.25  % CPUTime  : 
% 0.14/0.34  %----Proving TF0_NAR, FOF, or CNF
% 0.14/0.37  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.14/0.37  % SZS status Theorem
% 0.14/0.37  % SZS output start Proof
% 0.14/0.37  (
% 0.14/0.37  (declare-sort |tptp.'$ki_world'| 0)
% 0.14/0.37  (declare-const |tptp.'$ki_local_world'| |tptp.'$ki_world'|)
% 0.14/0.37  (declare-const tptp.p (-> |tptp.'$ki_world'| Bool))
% 0.14/0.37  (declare-const |tptp.'$ki_accessible'| (-> |tptp.'$ki_world'| |tptp.'$ki_world'| Bool))
% 0.14/0.37  (define @t1 () (@var "W" |tptp.'$ki_world'|))
% 0.14/0.37  (define @t2 () (@list @t1))
% 0.14/0.37  (define @t3 () (tptp.p @t1))
% 0.14/0.37  (define @t4 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t1))
% 0.14/0.37  (define @t5 () (and @t4 @t3))
% 0.14/0.37  (define @t6 () (exists @t2 @t5))
% 0.14/0.37  (define @t7 () (not @t6))
% 0.14/0.37  (define @t8 () (not @t3))
% 0.14/0.37  (define @t9 () (=> @t3 @t8))
% 0.14/0.37  (define @t10 () (forall @t2 (=> @t4 @t9)))
% 0.14/0.37  (define @t11 () (= @t10 @t7))
% 0.14/0.37  (define @t12 () (not @t11))
% 0.14/0.37  (define @t13 () (not @t4))
% 0.14/0.37  (define @t14 () (forall @t2 (or @t13 @t8)))
% 0.14/0.37  (define @t15 () (forall @t2 (not @t5)))
% 0.14/0.37  (define @t16 () (not @t15))
% 0.14/0.37  (assume @p1 (forall @t2 (|tptp.'$ki_accessible'| @t1 @t1)))
% 0.14/0.37  (assume @p2 @t12)
% 0.14/0.37  (assume @p3 true)
% 0.14/0.37  (step @p4 :rule evaluate :args ((not true)))
% 0.14/0.37  (step @p5 :rule eq-refl :args (@t14))
% 0.14/0.37  (step @p6 :rule bool-double-not-elim :args (@t14))
% 0.14/0.37  (step @p7 :rule bool-and-de-morgan :args (@t4 @t3 true))
% 0.14/0.37  (step @p8 :rule cong :premises (@p7) :args (@t15))
% 0.14/0.37  (step @p9 :rule cong :premises (@p8) :args (@t16))
% 0.14/0.37  (step @p10 :rule exists-elim :args ((= @t6 @t16)))
% 0.14/0.37  (step @p11 :rule trans :premises (@p10 @p9))
% 0.14/0.37  (step @p12 :rule cong :premises (@p11) :args (@t7))
% 0.14/0.37  (step @p13 :rule trans :premises (@p12 @p6))
% 0.14/0.37  (step @p14 :rule aci_norm :args ((= (or @t8 @t8) @t8)))
% 0.14/0.37  (step @p15 :rule bool-impl-elim :args (@t3 @t8))
% 0.14/0.37  (step @p16 :rule trans :premises (@p15 @p14))
% 0.14/0.37  (step @p17 :rule refl :args (@t13))
% 0.14/0.37  (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or @t13 @t9)))
% 0.14/0.37  (step @p19 :rule bool-impl-elim :args (@t4 @t9))
% 0.14/0.37  (step @p20 :rule trans :premises (@p19 @p18))
% 0.14/0.37  (step @p21 :rule cong :premises (@p20) :args (@t10))
% 0.14/0.37  (step @p22 :rule cong :premises (@p21 @p13) :args (@t11))
% 0.14/0.37  (step @p23 :rule trans :premises (@p22 @p5))
% 0.14/0.37  (step @p24 :rule cong :premises (@p23) :args (@t12))
% 0.14/0.37  (step @p25 :rule trans :premises (@p24 @p4))
% 0.14/0.37  (step @p26 false :rule eq_resolve :premises (@p2 @p25))
% 0.14/0.37  )
% 0.14/0.37  % SZS output end Proof
% 0.14/0.37  % cvc5 exiting
%------------------------------------------------------------------------------