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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : TIM031_1 : TPTP v9.3.0. Released v9.3.0.
% 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 09:15:39 AM UTC 2026

% Result   : Theorem 0.36s 0.57s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : TIM031_1 : TPTP v9.3.0. Released v9.3.0.
% 0.11/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.34  % Computer : n019.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit : 300
% 0.15/0.34  % WCLimit  : 300
% 0.15/0.34  % DateTime : Wed Jun  3 01:13:49 EDT 2026
% 0.15/0.34  % CPUTime  : 
% 0.27/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.36/0.57  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.36/0.57  % SZS status Theorem
% 0.36/0.57  % SZS output start Proof
% 0.36/0.57  (
% 0.36/0.57  (declare-sort tptp.interval 0)
% 0.36/0.57  (declare-const tptp.h tptp.interval)
% 0.36/0.57  (declare-const tptp.g tptp.interval)
% 0.36/0.57  (declare-const tptp.f tptp.interval)
% 0.36/0.57  (declare-const tptp.e tptp.interval)
% 0.36/0.57  (declare-const tptp.d tptp.interval)
% 0.36/0.57  (declare-const tptp.c tptp.interval)
% 0.36/0.57  (declare-const tptp.a tptp.interval)
% 0.36/0.57  (declare-const tptp.after (-> tptp.interval tptp.interval Bool))
% 0.36/0.57  (declare-const tptp.before (-> tptp.interval tptp.interval Bool))
% 0.36/0.57  (declare-const tptp.met_by (-> tptp.interval tptp.interval Bool))
% 0.36/0.57  (declare-const tptp.meets (-> tptp.interval tptp.interval Bool))
% 0.36/0.57  (declare-const tptp.overlapped_by (-> tptp.interval tptp.interval Bool))
% 0.36/0.57  (declare-const tptp.overlaps (-> tptp.interval tptp.interval Bool))
% 0.36/0.57  (declare-const tptp.started_by (-> tptp.interval tptp.interval Bool))
% 0.36/0.57  (declare-const tptp.b tptp.interval)
% 0.36/0.57  (declare-const tptp.starts (-> tptp.interval tptp.interval Bool))
% 0.36/0.57  (declare-const tptp.contains (-> tptp.interval tptp.interval Bool))
% 0.36/0.57  (declare-const tptp.during (-> tptp.interval tptp.interval Bool))
% 0.36/0.57  (declare-const tptp.finished_by (-> tptp.interval tptp.interval Bool))
% 0.36/0.57  (declare-const tptp.finishes (-> tptp.interval tptp.interval Bool))
% 0.36/0.57  (define @t1 () (@var "I" tptp.interval))
% 0.36/0.57  (define @t2 () (@var "J" tptp.interval))
% 0.36/0.57  (define @t3 () (tptp.before @t1 @t2))
% 0.36/0.57  (define @t4 () (@list @t1 @t2))
% 0.36/0.57  (define @t5 () (@var "K" tptp.interval))
% 0.36/0.57  (define @t6 () (tptp.before @t1 @t5))
% 0.36/0.57  (define @t7 () (tptp.before @t2 @t5))
% 0.36/0.57  (define @t8 () (and @t3 @t7))
% 0.36/0.57  (define @t9 () (@list @t1 @t2 @t5))
% 0.36/0.57  (define @t10 () (forall @t9 (=> @t8 @t6)))
% 0.36/0.57  (define @t11 () (tptp.before tptp.a tptp.b))
% 0.36/0.57  (define @t12 () (tptp.before tptp.b tptp.c))
% 0.36/0.57  (define @t13 () (tptp.before tptp.c tptp.d))
% 0.36/0.57  (define @t14 () (tptp.before tptp.d tptp.e))
% 0.36/0.57  (define @t15 () (tptp.before tptp.e tptp.f))
% 0.36/0.57  (define @t16 () (tptp.before tptp.f tptp.g))
% 0.36/0.57  (define @t17 () (tptp.before tptp.g tptp.h))
% 0.36/0.57  (define @t18 () (tptp.before tptp.a tptp.h))
% 0.36/0.57  (define @t19 () (not @t7))
% 0.36/0.57  (define @t20 () (not @t3))
% 0.36/0.57  (define @t21 () (or @t20 @t19 @t6))
% 0.36/0.57  (define @t22 () (tptp.before tptp.f tptp.h))
% 0.36/0.57  (define @t23 () (not @t17))
% 0.36/0.57  (define @t24 () (not @t16))
% 0.36/0.57  (define @t25 () (or @t24 @t23 @t22))
% 0.36/0.57  (define @t26 () (@list false false false))
% 0.36/0.57  (define @t27 () (tptp.before tptp.e tptp.h))
% 0.36/0.57  (define @t28 () (not @t22))
% 0.36/0.57  (define @t29 () (not @t15))
% 0.36/0.57  (define @t30 () (or @t29 @t28 @t27))
% 0.36/0.57  (define @t31 () (tptp.before tptp.d tptp.h))
% 0.36/0.57  (define @t32 () (not @t27))
% 0.36/0.57  (define @t33 () (not @t14))
% 0.36/0.57  (define @t34 () (or @t33 @t32 @t31))
% 0.36/0.57  (define @t35 () (tptp.before tptp.b tptp.d))
% 0.36/0.57  (define @t36 () (not @t13))
% 0.36/0.57  (define @t37 () (not @t12))
% 0.36/0.57  (define @t38 () (or @t37 @t36 @t35))
% 0.36/0.57  (define @t39 () (tptp.before tptp.a tptp.d))
% 0.36/0.57  (define @t40 () (not @t35))
% 0.36/0.57  (define @t41 () (not @t11))
% 0.36/0.57  (define @t42 () (or @t41 @t40 @t39))
% 0.36/0.57  (define @t43 () (not @t31))
% 0.36/0.57  (define @t44 () (not @t39))
% 0.36/0.57  (define @t45 () (or @t44 @t43 @t18))
% 0.36/0.57  (define @t46 () (not @t45))
% 0.36/0.57  (define @t47 () (forall @t9 @t21))
% 0.36/0.57  (assume @p1 (forall @t4 (= @t3 (tptp.after @t2 @t1))))
% 0.36/0.57  (assume @p2 (forall @t4 (= (tptp.meets @t1 @t2) (tptp.met_by @t2 @t1))))
% 0.36/0.57  (assume @p3 (forall @t4 (= (tptp.overlaps @t1 @t2) (tptp.overlapped_by @t2 @t1))))
% 0.36/0.57  (assume @p4 (forall @t4 (= (tptp.starts @t1 @t2) (tptp.started_by @t2 @t1))))
% 0.36/0.57  (assume @p5 (forall @t4 (= (tptp.during @t1 @t2) (tptp.contains @t2 @t1))))
% 0.36/0.57  (assume @p6 (forall @t4 (= (tptp.finishes @t1 @t2) (tptp.finished_by @t2 @t1))))
% 0.36/0.57  (assume @p7 (forall (@list @t1) (not (tptp.before @t1 @t1))))
% 0.36/0.57  (assume @p8 @t10)
% 0.36/0.57  (assume @p9 @t11)
% 0.36/0.57  (assume @p10 @t12)
% 0.36/0.57  (assume @p11 @t13)
% 0.36/0.57  (assume @p12 @t14)
% 0.36/0.57  (assume @p13 @t15)
% 0.36/0.57  (assume @p14 @t16)
% 0.36/0.57  (assume @p15 @t17)
% 0.36/0.57  (assume @p16 (not @t18))
% 0.36/0.57  (assume @p17 true)
% 0.36/0.57  (step @p18 :rule aci_norm :args ((= (or (or @t20 @t19) @t6) @t21)))
% 0.36/0.57  (step @p19 :rule refl :args (@t6))
% 0.36/0.57  (step @p20 :rule bool-and-de-morgan :args (@t3 @t7 true))
% 0.36/0.57  (step @p21 :rule nary_cong :premises (@p20 @p19) :args ((or (not @t8) @t6)))
% 0.36/0.57  (step @p22 :rule trans :premises (@p21 @p18))
% 0.36/0.57  (step @p23 :rule bool-impl-elim :args (@t8 @t6))
% 0.36/0.57  (step @p24 :rule trans :premises (@p23 @p22))
% 0.36/0.57  (step @p25 :rule cong :premises (@p24) :args (@t10))
% 0.36/0.57  (step @p26 :rule eq_resolve :premises (@p8 @p25))
% 0.36/0.57  (step @p27 :rule instantiate :premises (@p26) :args ((@list tptp.d tptp.e tptp.h)))
% 0.36/0.57  (step @p28 :rule instantiate :premises (@p26) :args ((@list tptp.e tptp.f tptp.h)))
% 0.36/0.57  (step @p29 :rule instantiate :premises (@p26) :args ((@list tptp.f tptp.g tptp.h)))
% 0.36/0.57  (step @p30 :rule cnf_or_pos :args (@t25))
% 0.36/0.57  (step @p31 :rule reordering :premises (@p30) :args ((or @t24 @t23 @t22 (not @t25))))
% 0.36/0.57  (step @p32 :rule chain_m_resolution :premises (@p31 @p14 @p15 @p29) :args (@t22 @t26 (@list @t16 @t17 @t25)))
% 0.36/0.57  (step @p33 :rule cnf_or_pos :args (@t30))
% 0.36/0.57  (step @p34 :rule reordering :premises (@p33) :args ((or @t29 @t28 @t27 (not @t30))))
% 0.36/0.57  (step @p35 :rule chain_m_resolution :premises (@p34 @p13 @p32 @p28) :args (@t27 @t26 (@list @t15 @t22 @t30)))
% 0.36/0.57  (step @p36 :rule cnf_or_pos :args (@t34))
% 0.36/0.57  (step @p37 :rule reordering :premises (@p36) :args ((or @t33 @t32 @t31 (not @t34))))
% 0.36/0.57  (step @p38 :rule chain_m_resolution :premises (@p37 @p12 @p35 @p27) :args (@t31 @t26 (@list @t14 @t27 @t34)))
% 0.36/0.57  (step @p39 :rule instantiate :premises (@p26) :args ((@list tptp.a tptp.b tptp.d)))
% 0.36/0.57  (step @p40 :rule instantiate :premises (@p26) :args ((@list tptp.b tptp.c tptp.d)))
% 0.36/0.57  (step @p41 :rule cnf_or_pos :args (@t38))
% 0.36/0.57  (step @p42 :rule reordering :premises (@p41) :args ((or @t37 @t36 @t35 (not @t38))))
% 0.36/0.57  (step @p43 :rule chain_m_resolution :premises (@p42 @p10 @p11 @p40) :args (@t35 @t26 (@list @t12 @t13 @t38)))
% 0.36/0.57  (step @p44 :rule cnf_or_pos :args (@t42))
% 0.36/0.57  (step @p45 :rule reordering :premises (@p44) :args ((or @t41 @t40 @t39 (not @t42))))
% 0.36/0.57  (step @p46 :rule chain_m_resolution :premises (@p45 @p9 @p43 @p39) :args (@t39 @t26 (@list @t11 @t35 @t42)))
% 0.36/0.57  (step @p47 :rule cnf_or_pos :args (@t45))
% 0.36/0.57  (step @p48 :rule reordering :premises (@p47) :args ((or @t18 @t44 @t43 @t46)))
% 0.36/0.57  (step @p49 :rule chain_m_resolution :premises (@p48 @p16 @p46 @p38) :args (@t46 (@list true false false) (@list @t18 @t39 @t31)))
% 0.36/0.57  (assume-push @p56 @t47)
% 0.36/0.57  (step @p51 :rule instantiate :premises (@p26) :args ((@list tptp.a tptp.d tptp.h)))
% 0.36/0.57  (step-pop @p57 :rule scope :premises (@p51))
% 0.36/0.57  (step @p52 :rule process_scope :premises (@p57) :args (@t45))
% 0.36/0.57  (step @p54 :rule implies_elim :premises (@p52))
% 0.36/0.57  (step @p55 false :rule chain_m_resolution :premises (@p54 @p49 @p26) :args (false (@list true false) (@list @t45 @t47)))
% 0.36/0.57  )
% 0.36/0.57  % SZS output end Proof
% 0.36/0.57  % cvc5 exiting
%------------------------------------------------------------------------------