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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : TIM034_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:33:34 PM UTC 2026

% Result   : Theorem 2.38s 0.88s
% Output   : Refutation 2.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    7 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :    7 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   13 (  12 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    interval: $tType ).

tff(func_def_0,type,
    a: interval ).

tff(func_def_1,type,
    b: interval ).

tff(func_def_2,type,
    c: interval ).

tff(func_def_3,type,
    d: interval ).

tff(func_def_4,type,
    e: interval ).

tff(func_def_5,type,
    f: interval ).

tff(func_def_6,type,
    g: interval ).

tff(pred_def_1,type,
    before: ( interval * interval ) > $o ).

tff(pred_def_2,type,
    after: ( interval * interval ) > $o ).

tff(pred_def_3,type,
    meets: ( interval * interval ) > $o ).

tff(pred_def_4,type,
    met_by: ( interval * interval ) > $o ).

tff(pred_def_5,type,
    overlaps: ( interval * interval ) > $o ).

tff(pred_def_6,type,
    overlapped_by: ( interval * interval ) > $o ).

tff(pred_def_7,type,
    starts: ( interval * interval ) > $o ).

tff(pred_def_8,type,
    started_by: ( interval * interval ) > $o ).

tff(pred_def_9,type,
    during: ( interval * interval ) > $o ).

tff(pred_def_10,type,
    contains: ( interval * interval ) > $o ).

tff(pred_def_11,type,
    finishes: ( interval * interval ) > $o ).

tff(pred_def_12,type,
    finished_by: ( interval * interval ) > $o ).

tff(f13,axiom,
    finishes(f,e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5) ).

tff(f15,conjecture,
    finishes(f,e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

tff(f16,negated_conjecture,
    ~ finishes(f,e),
    inference(negated_conjecture,[status(cth)],[f15]) ).

tff(f17,plain,
    ~ finishes(f,e),
    inference(flattening,[],[f16]) ).

tff(f36,plain,
    finishes(f,e),
    inference(cnf_transformation,[],[f13]) ).

tff(f38,plain,
    ~ finishes(f,e),
    inference(cnf_transformation,[],[f17]) ).

tff(f39,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f36,f38]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : TIM034_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17  % Computer : n004.cluster.edu
% 0.09/0.17  % Model    : x86_64 x86_64
% 0.09/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17  % Memory   : 8046.5625MB
% 0.09/0.17  % OS       : Linux 6.8.0-71-generic
% 0.09/0.17  % CPULimit : 300
% 0.09/0.17  % WCLimit  : 300
% 0.09/0.17  % DateTime : Mon Sep 28 18:47:52 UTC 2026
% 0.09/0.18  % CPUTime  : 
% 0.09/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21  Running first-order theorem proving
% 0.09/0.21  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.38/0.88  % (646376)Detected formulas, will run a generic FOF schedule.
% 2.38/0.88  % (646386)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3480465416:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.38/0.88  % (646386)First to succeed.
% 2.38/0.88  % (646386)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-646376"
% 2.38/0.88  % (646384)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=484788473:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.38/0.88  % (646382)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1653771916:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.38/0.88  % (646385)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=745860797:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.38/0.88  % (646383)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3667474267:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.38/0.88  % (646381)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2401716571:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.38/0.88  % (646384)Also succeeded, but the first one will report.
% 2.38/0.88  % (646385)Also succeeded, but the first one will report.
% 2.38/0.88  % (646387)dis-21_1_sil=8000:lcm=predicate:random_seed=3780812336:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.38/0.88  % (646387)Also succeeded, but the first one will report.
% 2.38/0.88  % (646386)Refutation found. Thanks to Tanya!
% 2.38/0.88  % SZS status Theorem for theBenchmark
% 2.38/0.88  % SZS output start Proof for theBenchmark
% See solution above
% 2.38/0.88  % (646386)------------------------------
% 2.38/0.88  % (646386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.38/0.88  % (646386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.88  % (646386)CaDiCaL version: 2.1.3
% 2.38/0.88  % (646386)Termination reason: Refutation
% 2.38/0.88  % (646386)Time elapsed: 0.001 s
% 2.38/0.88  % (646386)Peak memory usage: 88 MB
% 2.38/0.88  % (646386)------------------------------
% 2.38/0.88  % (646386)------------------------------
% 2.38/0.88  % (646376)Success in time 0.283 s
% 2.38/0.88  % Vampire exiting
%------------------------------------------------------------------------------