%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO148-1 : 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 2.57s 1.26s
% Output : Refutation 2.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 27 ( 1 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 30 ( 18 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 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(f135,axiom,
! [X0] : trajectory_of(X0) = ax3_sk1(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trajectories_are_oriented_curves_12) ).
fof(f136,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ once(at_the_same_time(at(X0,X1),at(X2,X3)))
| ~ once(at_the_same_time(at(X0,X4),at(X2,X5)))
| ~ ordered_by(trajectory_of(X0),X1,X4)
| ~ ordered_by(trajectory_of(X2),X5,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',homogeneous_behaviour_13) ).
fof(f138,negated_conjecture,
connect(sk28,sk29,sk27),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_156) ).
fof(f139,negated_conjecture,
ordered_by(trajectory_of(sk29),sk31,sk27),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_157) ).
fof(f140,negated_conjecture,
ordered_by(trajectory_of(sk28),sk27,sk30),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_158) ).
fof(f141,negated_conjecture,
once(at_the_same_time(at(sk28,sk30),at(sk29,sk31))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_159) ).
fof(f142,plain,
ordered_by(ax3_sk1(sk29),sk31,sk27),
inference(definition_unfolding,[],[f139,f135]) ).
fof(f143,plain,
ordered_by(ax3_sk1(sk28),sk27,sk30),
inference(definition_unfolding,[],[f140,f135]) ).
fof(f144,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ once(at_the_same_time(at(X0,X4),at(X2,X5)))
| ~ once(at_the_same_time(at(X0,X1),at(X2,X3)))
| ~ ordered_by(ax3_sk1(X0),X1,X4)
| ~ ordered_by(ax3_sk1(X2),X5,X3) ),
inference(definition_unfolding,[],[f136,f135,f135]) ).
fof(f182,plain,
! [X0,X1] :
( ~ once(at_the_same_time(at(sk28,X0),at(sk29,X1)))
| ~ ordered_by(ax3_sk1(sk28),X0,sk30)
| ~ ordered_by(ax3_sk1(sk29),sk31,X1) ),
inference(resolution,[],[f144,f141]) ).
fof(f188,plain,
! [X0] :
( ~ ordered_by(ax3_sk1(sk29),sk31,X0)
| ~ ordered_by(ax3_sk1(sk28),X0,sk30)
| ~ connect(sk28,sk29,X0) ),
inference(resolution,[],[f182,f124]) ).
fof(f239,plain,
( ~ ordered_by(ax3_sk1(sk28),sk27,sk30)
| ~ connect(sk28,sk29,sk27) ),
inference(resolution,[],[f188,f142]) ).
fof(f240,plain,
~ connect(sk28,sk29,sk27),
inference(forward_subsumption_resolution,[],[f239,f143]) ).
fof(f241,plain,
$false,
inference(forward_subsumption_resolution,[],[f240,f138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO148-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n010.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 07:15:46 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 2.57/1.26 % (602639)Input is clausal, will run a generic CNF schedule.
% 2.57/1.26 % (602647)lrs+10_1_sil=8000:sp=occurrence:random_seed=4020917597:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.57/1.26 % (602647)First to succeed.
% 2.57/1.26 % (602647)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-602639"
% 2.57/1.26 % (602649)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=182548064:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.57/1.26 % (602648)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1480076733:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.57/1.26 % (602644)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=1978632992:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.57/1.26 % (602650)dis-21_1_sil=8000:lcm=predicate:random_seed=2826653742: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)
% 2.57/1.26 % (602646)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1779520923:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.57/1.26 % (602645)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1232326469:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.57/1.26 % (602648)Also succeeded, but the first one will report.
% 2.57/1.26 % (602649)Also succeeded, but the first one will report.
% 2.57/1.26 % (602650)Also succeeded, but the first one will report.
% 2.57/1.26 % (602647)Refutation found. Thanks to Tanya!
% 2.57/1.26 % SZS status Unsatisfiable for theBenchmark
% 2.57/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 2.57/1.26 % (602647)------------------------------
% 2.57/1.26 % (602647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.57/1.26 % (602647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/1.26 % (602647)CaDiCaL version: 2.1.3
% 2.57/1.26 % (602647)Termination reason: Refutation
% 2.57/1.26 % (602647)Time elapsed: 0.002 s
% 2.57/1.26 % (602647)Peak memory usage: 88 MB
% 2.57/1.26 % (602647)Instructions burned: 3 (million)
% 2.57/1.26 % (602647)------------------------------
% 2.57/1.26 % (602647)------------------------------
% 2.57/1.26 % (602639)Success in time 0.296 s
% 2.57/1.26 % Vampire exiting
%------------------------------------------------------------------------------