%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO147-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 09:51:42 AM UTC 2026
% Result : Unsatisfiable 2.76s 1.41s
% Output : Refutation 2.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 9 unt; 2 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 33 ( 16 ~; 15 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f124,axiom,
! [X2,X0,X1] :
( once(at_the_same_time(at(X0,X2),at(X1,X2)))
| ~ connect(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',connect_defn_1) ).
fof(f131,axiom,
! [X0,X1] :
( ~ once(at_the_same_time(X0,X1))
| once(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjunction_at_the_same_time_8) ).
fof(f132,axiom,
! [X0,X1] :
( ~ once(at_the_same_time(X0,X1))
| once(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjunction_at_the_same_time_9) ).
fof(f133,axiom,
! [X0,X1] :
( ~ once(at(X0,X1))
| incident_o(X1,trajectory_of(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',at_on_trajectory_10) ).
fof(f138,negated_conjecture,
connect(sk28,sk29,sk27),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_156) ).
fof(f139,negated_conjecture,
( ~ incident_o(sk27,trajectory_of(sk28))
| ~ incident_o(sk27,trajectory_of(sk29)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_157) ).
fof(f141,definition,
( spl0_1
<=> incident_o(sk27,trajectory_of(sk29)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f142,plain,
( ~ incident_o(sk27,trajectory_of(sk29))
| spl0_1 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f144,definition,
( spl0_2
<=> incident_o(sk27,trajectory_of(sk28)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f145,plain,
( ~ incident_o(sk27,trajectory_of(sk28))
| spl0_2 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f146,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f139,f144,f141]) ).
fof(f152,plain,
! [X2,X0,X1] :
( once(at(X1,X2))
| ~ connect(X0,X1,X2) ),
inference(resolution,[],[f124,f132]) ).
fof(f153,plain,
! [X2,X0,X1] :
( once(at(X0,X2))
| ~ connect(X0,X1,X2) ),
inference(resolution,[],[f124,f131]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ~ connect(X0,X1,X2)
| incident_o(X2,trajectory_of(X1)) ),
inference(resolution,[],[f152,f133]) ).
fof(f158,plain,
! [X2,X0,X1] :
( ~ connect(X0,X1,X2)
| incident_o(X2,trajectory_of(X0)) ),
inference(resolution,[],[f153,f133]) ).
fof(f174,plain,
incident_o(sk27,trajectory_of(sk29)),
inference(resolution,[],[f154,f138]) ).
fof(f175,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f174,f142]) ).
fof(f176,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f175]) ).
fof(f177,plain,
incident_o(sk27,trajectory_of(sk28)),
inference(resolution,[],[f158,f138]) ).
fof(f178,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f177,f145]) ).
fof(f179,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f178]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f146]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f176]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f179]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f180,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO147-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n010.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 07:16:01 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.44 Running first-order theorem proving
% 0.11/0.44 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
% 2.76/1.41 % (603077)Input is clausal, will run a generic CNF schedule.
% 2.76/1.41 % (603086)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4187524156:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.76/1.41 % (603086)First to succeed.
% 2.76/1.41 % (603086)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-603077"
% 2.76/1.41 % (603083)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1851857563:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.76/1.41 % (603085)lrs+10_1_sil=8000:sp=occurrence:random_seed=2318521136:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.76/1.41 % (603084)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2191354167:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.76/1.41 % (603087)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2497897578:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.76/1.41 % (603082)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=2085364814:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.76/1.41 % (603088)dis-21_1_sil=8000:lcm=predicate:random_seed=374202947:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.76/1.41 % (603085)Also succeeded, but the first one will report.
% 2.76/1.41 % (603088)Also succeeded, but the first one will report.
% 2.76/1.41 % (603087)Also succeeded, but the first one will report.
% 2.76/1.41 % (603086)Refutation found. Thanks to Tanya!
% 2.76/1.41 % SZS status Unsatisfiable for theBenchmark
% 2.76/1.41 % SZS output start Proof for theBenchmark
% See solution above
% 2.76/1.41 % (603086)------------------------------
% 2.76/1.41 % (603086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/1.41 % (603086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/1.41 % (603086)CaDiCaL version: 2.1.3
% 2.76/1.41 % (603086)Termination reason: Refutation
% 2.76/1.41 % (603086)Time elapsed: 0.002 s
% 2.76/1.41 % (603086)Peak memory usage: 89 MB
% 2.76/1.41 % (603086)Instructions burned: 2 (million)
% 2.76/1.41 % (603086)------------------------------
% 2.76/1.41 % (603086)------------------------------
% 2.76/1.41 % (603077)Success in time 0.299 s
% 2.76/1.41 % Vampire exiting
%------------------------------------------------------------------------------