%------------------------------------------------------------------------------
% 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 : n012.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 : Theorem 2.33s 0.93s
% Output : Refutation 2.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 28 ( 11 unt; 0 def)
% Number of atoms : 67 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 70 ( 31 ~; 19 |; 13 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 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 : 69 ( 58 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f28,axiom,
! [X0,X1,X2] :
( connect(X0,X1,X2)
<=> once(at_the_same_time(at(X0,X2),at(X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',connect_defn) ).
fof(f34,axiom,
! [X0] :
? [X1] : trajectory_of(X0) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trajectories_are_oriented_curves) ).
fof(f35,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( once(at_the_same_time(at(X4,X0),at(X5,X1)))
& once(at_the_same_time(at(X4,X2),at(X5,X3))) )
=> ~ ( ordered_by(trajectory_of(X4),X0,X2)
& ordered_by(trajectory_of(X5),X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',homogeneous_behaviour) ).
fof(f37,conjecture,
! [X0,X1,X2] :
( connect(X1,X2,X0)
=> ! [X3,X4] :
( ( ordered_by(trajectory_of(X2),X4,X0)
& ordered_by(trajectory_of(X1),X0,X3) )
=> ~ once(at_the_same_time(at(X1,X3),at(X2,X4))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14) ).
fof(f38,negated_conjecture,
~ ! [X0,X1,X2] :
( connect(X1,X2,X0)
=> ! [X3,X4] :
( ( ordered_by(trajectory_of(X2),X4,X0)
& ordered_by(trajectory_of(X1),X0,X3) )
=> ~ once(at_the_same_time(at(X1,X3),at(X2,X4))) ) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f39,plain,
! [X0,X1,X2] :
( connect(X0,X1,X2)
=> once(at_the_same_time(at(X0,X2),at(X1,X2))) ),
inference(unused_predicate_definition_removal,[],[f28]) ).
fof(f40,plain,
? [X0,X1,X2] :
( ? [X3,X4] :
( once(at_the_same_time(at(X1,X3),at(X2,X4)))
& ordered_by(trajectory_of(X2),X4,X0)
& ordered_by(trajectory_of(X1),X0,X3) )
& connect(X1,X2,X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f41,plain,
? [X0,X1,X2] :
( ? [X3,X4] :
( once(at_the_same_time(at(X1,X3),at(X2,X4)))
& ordered_by(trajectory_of(X2),X4,X0)
& ordered_by(trajectory_of(X1),X0,X3) )
& connect(X1,X2,X0) ),
inference(flattening,[],[f40]) ).
fof(f45,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ ordered_by(trajectory_of(X4),X0,X2)
| ~ ordered_by(trajectory_of(X5),X3,X1)
| ~ once(at_the_same_time(at(X4,X0),at(X5,X1)))
| ~ once(at_the_same_time(at(X4,X2),at(X5,X3))) ),
inference(ennf_transformation,[],[f35]) ).
fof(f46,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ ordered_by(trajectory_of(X4),X0,X2)
| ~ ordered_by(trajectory_of(X5),X3,X1)
| ~ once(at_the_same_time(at(X4,X0),at(X5,X1)))
| ~ once(at_the_same_time(at(X4,X2),at(X5,X3))) ),
inference(flattening,[],[f45]) ).
fof(f49,plain,
! [X0,X1,X2] :
( once(at_the_same_time(at(X0,X2),at(X1,X2)))
| ~ connect(X0,X1,X2) ),
inference(ennf_transformation,[],[f39]) ).
fof(f50,plain,
( once(at_the_same_time(at(sK1,sK3),at(sK2,sK4)))
& ordered_by(trajectory_of(sK2),sK4,sK0)
& ordered_by(trajectory_of(sK1),sK0,sK3)
& connect(sK1,sK2,sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f41]) ).
fof(f54,plain,
! [X0] : trajectory_of(X0) = sK6(X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X1,sK6(X0))],[f34]) ).
fof(f58,plain,
connect(sK1,sK2,sK0),
inference(cnf_transformation,[],[f50]) ).
fof(f59,plain,
ordered_by(trajectory_of(sK1),sK0,sK3),
inference(cnf_transformation,[],[f50]) ).
fof(f60,plain,
ordered_by(trajectory_of(sK2),sK4,sK0),
inference(cnf_transformation,[],[f50]) ).
fof(f61,plain,
once(at_the_same_time(at(sK1,sK3),at(sK2,sK4))),
inference(cnf_transformation,[],[f50]) ).
fof(f70,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ordered_by(trajectory_of(X4),X0,X2)
| ~ ordered_by(trajectory_of(X5),X3,X1)
| ~ once(at_the_same_time(at(X4,X0),at(X5,X1)))
| ~ once(at_the_same_time(at(X4,X2),at(X5,X3))) ),
inference(cnf_transformation,[],[f46]) ).
fof(f71,plain,
! [X0] : trajectory_of(X0) = sK6(X0),
inference(cnf_transformation,[],[f54]) ).
fof(f78,plain,
! [X2,X0,X1] :
( once(at_the_same_time(at(X0,X2),at(X1,X2)))
| ~ connect(X0,X1,X2) ),
inference(cnf_transformation,[],[f49]) ).
fof(f79,plain,
ordered_by(sK6(sK2),sK4,sK0),
inference(definition_unfolding,[],[f60,f71]) ).
fof(f80,plain,
ordered_by(sK6(sK1),sK0,sK3),
inference(definition_unfolding,[],[f59,f71]) ).
fof(f81,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ once(at_the_same_time(at(X4,X2),at(X5,X3)))
| ~ ordered_by(sK6(X5),X3,X1)
| ~ once(at_the_same_time(at(X4,X0),at(X5,X1)))
| ~ ordered_by(sK6(X4),X0,X2) ),
inference(definition_unfolding,[],[f70,f71,f71]) ).
fof(f125,plain,
! [X0,X1] :
( ~ once(at_the_same_time(at(sK1,X1),at(sK2,X0)))
| ~ ordered_by(sK6(sK2),sK4,X0)
| ~ ordered_by(sK6(sK1),X1,sK3) ),
inference(resolution,[],[f81,f61]) ).
fof(f132,plain,
! [X0] :
( ~ ordered_by(sK6(sK2),sK4,X0)
| ~ ordered_by(sK6(sK1),X0,sK3)
| ~ connect(sK1,sK2,X0) ),
inference(resolution,[],[f125,f78]) ).
fof(f140,plain,
( ~ ordered_by(sK6(sK1),sK0,sK3)
| ~ connect(sK1,sK2,sK0) ),
inference(resolution,[],[f132,f79]) ).
fof(f141,plain,
~ connect(sK1,sK2,sK0),
inference(forward_subsumption_resolution,[],[f140,f80]) ).
fof(f142,plain,
$false,
inference(forward_subsumption_resolution,[],[f141,f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO148+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 07:15:20 UTC 2026
% 0.04/0.32 % CPUTime :
% 0.04/0.32 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.33 Running first-order theorem proving
% 0.08/0.33 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
% 2.33/0.93 % (2032942)Detected formulas, will run a generic FOF schedule.
% 2.33/0.93 % (2032949)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=3232497467:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.33/0.93 % (2032950)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3124078167:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.33/0.93 % (2032951)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=37933337:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.33/0.93 % (2032953)dis-21_1_sil=8000:lcm=predicate:random_seed=2243609525: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)
% 2.33/0.93 % (2032948)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=2659373573:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.33/0.93 % (2032952)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1711219516:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.33/0.93 % (2032947)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=281433227:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.33/0.93 % (2032950)Refutation not found, incomplete strategy
% 2.33/0.93 % (2032950)------------------------------
% 2.33/0.93 % (2032950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.33/0.93 % (2032950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.33/0.93 % (2032950)CaDiCaL version: 2.1.3
% 2.33/0.93 % (2032950)Termination reason: Refutation not found, incomplete strategy
% 2.33/0.93 % (2032950)Time elapsed: 0.001 s
% 2.33/0.93 % (2032950)Peak memory usage: 88 MB
% 2.33/0.93 % (2032950)Instructions burned: 2 (million)
% 2.33/0.93 % (2032951)First to succeed.
% 2.33/0.93 % (2032951)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2032942"
% 2.33/0.93 % (2032952)Also succeeded, but the first one will report.
% 2.33/0.93 % (2032953)Also succeeded, but the first one will report.
% 2.33/0.93 % (2032950)------------------------------
% 2.33/0.93 % (2032950)------------------------------
% 2.33/0.93 % (2032951)Refutation found. Thanks to Tanya!
% 2.33/0.93 % SZS status Theorem for theBenchmark
% 2.33/0.93 % SZS output start Proof for theBenchmark
% See solution above
% 2.33/0.93 % (2032951)------------------------------
% 2.33/0.93 % (2032951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.33/0.93 % (2032951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.33/0.93 % (2032951)CaDiCaL version: 2.1.3
% 2.33/0.93 % (2032951)Termination reason: Refutation
% 2.33/0.93 % (2032951)Time elapsed: 0.002 s
% 2.33/0.93 % (2032951)Peak memory usage: 88 MB
% 2.33/0.93 % (2032951)Instructions burned: 4 (million)
% 2.33/0.93 % (2032951)------------------------------
% 2.33/0.93 % (2032951)------------------------------
% 2.33/0.93 % (2032942)Success in time 0.297 s
% 2.33/0.93 % Vampire exiting
%------------------------------------------------------------------------------