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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR105+7 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n007.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 09:43:05 AM UTC 2026

% Result   : Theorem 16.87s 5.23s
% Output   : Refutation 16.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   7 unt;   0 def)
%            Number of atoms       :   13 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   5   ~;   2   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   11 (   7   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f27692,axiom,
    ! [X0] :
      ( s__instance(X0,s__TimeInterval)
     => s__overlapsTemporally(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_27874) ).

fof(f55588,axiom,
    s__instance(s__TimeInterval36_2,s__TimeInterval),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_2) ).

fof(f55592,conjecture,
    ? [X0,X1] : s__overlapsTemporally(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_from_ALL) ).

fof(f55593,negated_conjecture,
    ~ ? [X0,X1] : s__overlapsTemporally(X0,X1),
    inference(negated_conjecture,[status(cth)],[f55592]) ).

fof(f55594,plain,
    ! [X0,X1] : ~ s__overlapsTemporally(X0,X1),
    inference(ennf_transformation,[],[f55593]) ).

fof(f55616,plain,
    ! [X0] :
      ( s__overlapsTemporally(X0,X0)
      | ~ s__instance(X0,s__TimeInterval) ),
    inference(ennf_transformation,[],[f27692]) ).

fof(f55807,plain,
    s__instance(s__TimeInterval36_2,s__TimeInterval),
    inference(cnf_transformation,[],[f55588]) ).

fof(f55811,plain,
    ! [X0,X1] : ~ s__overlapsTemporally(X0,X1),
    inference(cnf_transformation,[],[f55594]) ).

fof(f55831,plain,
    ! [X0] :
      ( s__overlapsTemporally(X0,X0)
      | ~ s__instance(X0,s__TimeInterval) ),
    inference(cnf_transformation,[],[f55616]) ).

fof(f55987,plain,
    $false,
    inference(unit_resulting_resolution,[],[f55831,f55807,f55811]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : CSR105+7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.08  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.27  % Computer : n007.cluster.edu
% 0.13/0.27  % Model    : x86_64 x86_64
% 0.13/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.27  % Memory   : 8046.5625MB
% 0.13/0.27  % OS       : Linux 6.8.0-71-generic
% 0.13/0.27  % CPULimit : 300
% 0.13/0.27  % WCLimit  : 300
% 0.13/0.27  % DateTime : Mon Sep 28 22:53:57 UTC 2026
% 0.13/0.28  % CPUTime  : 
% 0.13/0.28  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.28/0.33  Running first-order theorem proving
% 0.28/0.33  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.87/5.23  % (2943021)Detected formulas, will run a generic FOF schedule.
% 16.87/5.23  % (2943027)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=1416928760:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2979 on theBenchmark for (2979ds/134677Mi)
% 16.87/5.23  % (2943031)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3358968961:s2a=on:i=139:gtg=position_2979 on theBenchmark for (2979ds/139Mi)
% 16.87/5.23  % (2943029)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3075024017:i=109:sd=1:ins=1:gsp=on:ss=axioms_2979 on theBenchmark for (2979ds/109Mi)
% 16.87/5.23  % (2943028)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=3043206709:i=141695:sd=1:nm=32:gsp=on:ss=included_2979 on theBenchmark for (2979ds/141695Mi)
% 16.87/5.23  % (2943026)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=1391938148:i=141193_2979 on theBenchmark for (2979ds/141193Mi)
% 16.87/5.23  % (2943030)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3018670347:i=119:av=off:ss=axioms_2979 on theBenchmark for (2979ds/119Mi)
% 16.87/5.23  % (2943032)dis-21_1_sil=8000:lcm=predicate:random_seed=3130215964:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2979 on theBenchmark for (2979ds/129Mi)
% 16.87/5.23  % (2943029)Instruction limit reached! 
% 16.87/5.23  % (2943029)------------------------------
% 16.87/5.23  % (2943029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.87/5.23  % (2943029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/5.23  % (2943029)CaDiCaL version: 2.1.3
% 16.87/5.23  % (2943029)Termination reason: Instruction limit
% 16.87/5.23  % (2943029)Termination phase: SInE selection
% 16.87/5.23  % (2943029)Time elapsed: 0.103 s
% 16.87/5.23  % (2943029)Peak memory usage: 138 MB
% 16.87/5.23  % (2943029)Instructions burned: 109 (million)
% 16.87/5.23  % (2943031)Instruction limit reached! 
% 16.87/5.23  % (2943031)------------------------------
% 16.87/5.23  % (2943031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.87/5.23  % (2943031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/5.23  % (2943031)CaDiCaL version: 2.1.3
% 16.87/5.23  % (2943031)Termination reason: Instruction limit
% 16.87/5.23  % (2943031)Termination phase: Property scanning
% 16.87/5.23  % (2943031)Time elapsed: 0.139 s
% 16.87/5.23  % (2943031)Peak memory usage: 138 MB
% 16.87/5.23  % (2943031)Instructions burned: 139 (million)
% 16.87/5.23  % (2943030)Instruction limit reached! 
% 16.87/5.23  % (2943030)------------------------------
% 16.87/5.23  % (2943030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.87/5.23  % (2943030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/5.23  % (2943030)CaDiCaL version: 2.1.3
% 16.87/5.23  % (2943030)Termination reason: Instruction limit
% 16.87/5.23  % (2943030)Termination phase: SInE selection
% 16.87/5.23  % (2943030)Time elapsed: 0.112 s
% 16.87/5.23  % (2943030)Peak memory usage: 139 MB
% 16.87/5.23  % (2943030)Instructions burned: 119 (million)
% 16.87/5.23  % (2943032)Instruction limit reached! 
% 16.87/5.23  % (2943032)------------------------------
% 16.87/5.23  % (2943032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.87/5.23  % (2943032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/5.23  % (2943032)CaDiCaL version: 2.1.3
% 16.87/5.23  % (2943032)Termination reason: Instruction limit
% 16.87/5.23  % (2943032)Termination phase: SInE selection
% 16.87/5.23  % (2943032)Time elapsed: 0.120 s
% 16.87/5.23  % (2943032)Peak memory usage: 139 MB
% 16.87/5.23  % (2943032)Instructions burned: 129 (million)
% 16.87/5.23  % (2943043)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3900847010:s2a=on:i=248:s2at=1.23:gtg=position_2974 on theBenchmark for (2974ds/248Mi)
% 16.87/5.23  % (2943040)lrs+10_1_sil=8000:sp=occurrence:random_seed=1045678822:i=285:sd=3:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/285Mi)
% 16.87/5.23  % (2943041)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2922506687:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/157Mi)
% 16.87/5.23  % (2943042)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1713799522:i=325:sd=1:ss=axioms:sgt=32_2975 on theBenchmark for (2975ds/325Mi)
% 16.87/5.23  % (2943041)Instruction limit reached! 
% 16.87/5.23  % (2943041)------------------------------
% 16.87/5.23  % (2943041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.87/5.23  % (2943041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/5.23  % (2943041)CaDiCaL version: 2.1.3
% 16.87/5.23  % (2943041)Termination reason: Instruction limit
% 16.87/5.23  % (2943041)Termination phase: Property scanning
% 16.87/5.23  % (2943041)Time elapsed: 0.149 s
% 16.87/5.23  % (2943041)Peak memory usage: 137 MB
% 16.87/5.23  % (2943041)Instructions burned: 158 (million)
% 16.87/5.23  % (2943043)Instruction limit reached! 
% 16.87/5.23  % (2943043)------------------------------
% 16.87/5.23  % (2943043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.87/5.23  % (2943043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/5.23  % (2943043)CaDiCaL version: 2.1.3
% 16.87/5.23  % (2943043)Termination reason: Instruction limit
% 16.87/5.23  % (2943043)Termination phase: Property scanning
% 16.87/5.23  % (2943043)Time elapsed: 0.179 s
% 16.87/5.23  % (2943043)Peak memory usage: 138 MB
% 16.87/5.23  % (2943043)Instructions burned: 248 (million)
% 16.87/5.23  % (2943040)Refutation not found, incomplete strategy
% 16.87/5.23  % (2943040)------------------------------
% 16.87/5.23  % (2943040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.87/5.23  % (2943040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/5.23  % (2943040)CaDiCaL version: 2.1.3
% 16.87/5.23  % (2943040)Termination reason: Refutation not found, incomplete strategy
% 16.87/5.23  % (2943040)Time elapsed: 0.267 s
% 16.87/5.23  % (2943040)Peak memory usage: 144 MB
% 16.87/5.23  % (2943040)Instructions burned: 234 (million)
% 16.87/5.23  % (2943042)Refutation not found, incomplete strategy
% 16.87/5.23  % (2943042)------------------------------
% 16.87/5.23  % (2943042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.87/5.23  % (2943042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/5.23  % (2943042)CaDiCaL version: 2.1.3
% 16.87/5.23  % (2943042)Termination reason: Refutation not found, incomplete strategy
% 16.87/5.23  % (2943042)Time elapsed: 0.231 s
% 16.87/5.23  % (2943042)Peak memory usage: 144 MB
% 16.87/5.23  % (2943042)Instructions burned: 202 (million)
% 16.87/5.23  % (2943050)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3519917404:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2971 on theBenchmark for (2971ds/294Mi)
% 16.87/5.23  % (2943051)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3913015008:i=2350_2971 on theBenchmark for (2971ds/2350Mi)
% 16.87/5.23  % (2943050)Instruction limit reached! 
% 16.87/5.23  % (2943050)------------------------------
% 16.87/5.23  % (2943050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.87/5.23  % (2943050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/5.23  % (2943050)CaDiCaL version: 2.1.3
% 16.87/5.23  % (2943050)Termination reason: Instruction limit
% 16.87/5.23  % (2943050)Termination phase: Property scanning
% 16.87/5.23  % (2943050)Time elapsed: 0.301 s
% 16.87/5.23  % (2943050)Peak memory usage: 141 MB
% 16.87/5.23  % (2943050)Instructions burned: 294 (million)
% 16.87/5.23  % (2943040)------------------------------
% 16.87/5.23  % (2943040)------------------------------
% 16.87/5.23  % (2943042)------------------------------
% 16.87/5.23  % (2943042)------------------------------
% 16.87/5.23  % (2943054)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1213019183:cts=off:i=113:fsr=off:ss=included:sgt=4_2966 on theBenchmark for (2966ds/113Mi)
% 16.87/5.23  % (2943056)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4267551261:i=127:av=off:fsr=off:sup=off_2965 on theBenchmark for (2965ds/127Mi)
% 16.87/5.23  % (2943058)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1740477804:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2965 on theBenchmark for (2965ds/114Mi)
% 16.87/5.23  % (2943027)First to succeed.
% 16.87/5.23  % (2943054)Instruction limit reached! 
% 16.87/5.23  % (2943054)------------------------------
% 16.87/5.23  % (2943054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.87/5.23  % (2943054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/5.23  % (2943054)CaDiCaL version: 2.1.3
% 16.87/5.23  % (2943054)Termination reason: Instruction limit
% 16.87/5.23  % (2943054)Termination phase: SInE selection
% 16.87/5.23  % (2943054)Time elapsed: 0.113 s
% 16.87/5.23  % (2943054)Peak memory usage: 138 MB
% 16.87/5.23  % (2943054)Instructions burned: 113 (million)
% 16.87/5.23  % (2943027)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2943021"
% 16.87/5.23  % (2943058)Instruction limit reached! 
% 16.87/5.23  % (2943058)------------------------------
% 16.87/5.23  % (2943058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.87/5.23  % (2943058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/5.23  % (2943058)CaDiCaL version: 2.1.3
% 16.87/5.23  % (2943058)Termination reason: Instruction limit
% 16.87/5.23  % (2943058)Termination phase: Property scanning
% 16.87/5.23  % (2943058)Time elapsed: 0.115 s
% 16.87/5.23  % (2943058)Peak memory usage: 138 MB
% 16.87/5.23  % (2943058)Instructions burned: 114 (million)
% 16.87/5.23  % (2943056)Instruction limit reached! 
% 16.87/5.23  % (2943056)------------------------------
% 16.87/5.23  % (2943056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.87/5.23  % (2943056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/5.23  % (2943056)CaDiCaL version: 2.1.3
% 16.87/5.23  % (2943056)Termination reason: Instruction limit
% 16.87/5.23  % (2943056)Termination phase: Preprocessing 1
% 16.87/5.23  % (2943056)Time elapsed: 0.139 s
% 16.87/5.23  % (2943056)Peak memory usage: 138 MB
% 16.87/5.23  % (2943056)Instructions burned: 128 (million)
% 16.87/5.23  % (2943062)lrs+10_1_sil=8000:sp=occurrence:random_seed=1938794872:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2962 on theBenchmark for (2962ds/907Mi)
% 16.87/5.23  % (2943027)Refutation found. Thanks to Tanya!
% 16.87/5.23  % SZS status Theorem for theBenchmark
% 16.87/5.23  % SZS output start Proof for theBenchmark
% See solution above
% 16.87/5.23  % (2943027)------------------------------
% 16.87/5.23  % (2943027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.87/5.23  % (2943027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/5.23  % (2943027)CaDiCaL version: 2.1.3
% 16.87/5.23  % (2943027)Termination reason: Refutation
% 16.87/5.23  % (2943027)Time elapsed: 1.471 s
% 16.87/5.23  % (2943027)Peak memory usage: 274 MB
% 16.87/5.23  % (2943027)Instructions burned: 2266 (million)
% 16.87/5.23  % (2943027)------------------------------
% 16.87/5.23  % (2943027)------------------------------
% 16.87/5.23  % (2943021)Success in time 4.065 s
% 16.87/5.23  % Vampire exiting
%------------------------------------------------------------------------------