%------------------------------------------------------------------------------
% 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 : 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 09:51:41 AM UTC 2026
% Result : Theorem 2.32s 0.93s
% Output : Refutation 2.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 8 unt; 0 def)
% Number of atoms : 60 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 57 ( 27 ~; 17 |; 7 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 49 ( 45 !; 4 ?)
% 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(f32,axiom,
! [X0,X1] :
( once(at_the_same_time(X0,X1))
=> ( once(X0)
& once(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjunction_at_the_same_time) ).
fof(f33,axiom,
! [X0,X1] :
( once(at(X0,X1))
<=> incident_o(X1,trajectory_of(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',at_on_trajectory) ).
fof(f34,axiom,
! [X0] :
? [X1] : trajectory_of(X0) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trajectories_are_oriented_curves) ).
fof(f37,conjecture,
! [X0,X1,X2] :
( connect(X1,X2,X0)
=> ( incident_o(X0,trajectory_of(X1))
& incident_o(X0,trajectory_of(X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13) ).
fof(f38,negated_conjecture,
~ ! [X0,X1,X2] :
( connect(X1,X2,X0)
=> ( incident_o(X0,trajectory_of(X1))
& incident_o(X0,trajectory_of(X2)) ) ),
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] :
( ( ~ incident_o(X0,trajectory_of(X1))
| ~ incident_o(X0,trajectory_of(X2)) )
& connect(X1,X2,X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f43,plain,
! [X0,X1,X2] :
( once(at_the_same_time(at(X0,X2),at(X1,X2)))
| ~ connect(X0,X1,X2) ),
inference(ennf_transformation,[],[f39]) ).
fof(f45,plain,
! [X0,X1] :
( ( once(X0)
& once(X1) )
| ~ once(at_the_same_time(X0,X1)) ),
inference(ennf_transformation,[],[f32]) ).
fof(f49,plain,
( ( ~ incident_o(sK0,trajectory_of(sK1))
| ~ incident_o(sK0,trajectory_of(sK2)) )
& connect(sK1,sK2,sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f40]) ).
fof(f50,plain,
! [X0] : trajectory_of(X0) = sK3(X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X1,sK3(X0))],[f34]) ).
fof(f51,plain,
! [X0,X1] :
( ( once(at(X0,X1))
| ~ incident_o(X1,trajectory_of(X0)) )
& ( incident_o(X1,trajectory_of(X0))
| ~ once(at(X0,X1)) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f57,plain,
connect(sK1,sK2,sK0),
inference(cnf_transformation,[],[f49]) ).
fof(f58,plain,
( ~ incident_o(sK0,trajectory_of(sK1))
| ~ incident_o(sK0,trajectory_of(sK2)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f60,plain,
! [X0] : trajectory_of(X0) = sK3(X0),
inference(cnf_transformation,[],[f50]) ).
fof(f61,plain,
! [X0,X1] :
( incident_o(X1,trajectory_of(X0))
| ~ once(at(X0,X1)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f63,plain,
! [X2,X0,X1] :
( once(at_the_same_time(at(X0,X2),at(X1,X2)))
| ~ connect(X0,X1,X2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f65,plain,
! [X0,X1] :
( ~ once(at_the_same_time(X0,X1))
| once(X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f66,plain,
! [X0,X1] :
( ~ once(at_the_same_time(X0,X1))
| once(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f76,plain,
( ~ incident_o(sK0,sK3(sK2))
| ~ incident_o(sK0,sK3(sK1)) ),
inference(definition_unfolding,[],[f58,f60,f60]) ).
fof(f79,plain,
! [X0,X1] :
( incident_o(X1,sK3(X0))
| ~ once(at(X0,X1)) ),
inference(definition_unfolding,[],[f61,f60]) ).
fof(f84,plain,
( ~ once(at(sK2,sK0))
| ~ incident_o(sK0,sK3(sK1)) ),
inference(resolution,[],[f79,f76]) ).
fof(f88,plain,
! [X2,X0,X1] :
( once(at(X0,X2))
| ~ connect(X0,X1,X2) ),
inference(resolution,[],[f63,f66]) ).
fof(f89,plain,
! [X2,X0,X1] :
( once(at(X1,X2))
| ~ connect(X0,X1,X2) ),
inference(resolution,[],[f63,f65]) ).
fof(f95,plain,
! [X0] :
( ~ connect(X0,sK2,sK0)
| ~ incident_o(sK0,sK3(sK1)) ),
inference(resolution,[],[f89,f84]) ).
fof(f96,plain,
~ incident_o(sK0,sK3(sK1)),
inference(resolution,[],[f95,f57]) ).
fof(f99,plain,
~ once(at(sK1,sK0)),
inference(resolution,[],[f96,f79]) ).
fof(f104,plain,
! [X0] : ~ connect(sK1,X0,sK0),
inference(resolution,[],[f99,f88]) ).
fof(f111,plain,
$false,
inference(resolution,[],[f104,f57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO147+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.05/0.32 % Computer : n012.cluster.edu
% 0.05/0.32 % Model : x86_64 x86_64
% 0.05/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.32 % Memory : 8046.5625MB
% 0.05/0.32 % OS : Linux 6.8.0-71-generic
% 0.05/0.32 % CPULimit : 300
% 0.05/0.32 % WCLimit : 300
% 0.05/0.32 % DateTime : Sun Sep 27 07:15:05 UTC 2026
% 0.05/0.32 % CPUTime :
% 0.05/0.32 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.34 Running first-order theorem proving
% 0.08/0.34 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
% 2.32/0.93 % (2032504)Detected formulas, will run a generic FOF schedule.
% 2.32/0.93 % (2032509)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=3920021483:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.32/0.93 % (2032514)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3287014966:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.32/0.93 % (2032510)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=1871752935:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.32/0.93 % (2032515)dis-21_1_sil=8000:lcm=predicate:random_seed=3648800227: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)
% 2.32/0.93 % (2032511)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=3059641629:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.32/0.93 % (2032512)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2914394668:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.32/0.93 % (2032513)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2272277122:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.32/0.93 % (2032512)Refutation not found, incomplete strategy
% 2.32/0.93 % (2032512)------------------------------
% 2.32/0.93 % (2032512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.32/0.93 % (2032512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.93 % (2032512)CaDiCaL version: 2.1.3
% 2.32/0.93 % (2032512)Termination reason: Refutation not found, incomplete strategy
% 2.32/0.93 % (2032512)Time elapsed: 0.001 s
% 2.32/0.93 % (2032512)Peak memory usage: 87 MB
% 2.32/0.93 % (2032513)First to succeed.
% 2.32/0.93 % (2032513)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2032504"
% 2.32/0.93 % (2032515)Also succeeded, but the first one will report.
% 2.32/0.93 % (2032514)Also succeeded, but the first one will report.
% 2.32/0.93 % (2032512)------------------------------
% 2.32/0.93 % (2032512)------------------------------
% 2.32/0.93 % (2032513)Refutation found. Thanks to Tanya!
% 2.32/0.93 % SZS status Theorem for theBenchmark
% 2.32/0.93 % SZS output start Proof for theBenchmark
% See solution above
% 2.32/0.93 % (2032513)------------------------------
% 2.32/0.93 % (2032513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.32/0.93 % (2032513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.93 % (2032513)CaDiCaL version: 2.1.3
% 2.32/0.93 % (2032513)Termination reason: Refutation
% 2.32/0.93 % (2032513)Time elapsed: 0.002 s
% 2.32/0.93 % (2032513)Peak memory usage: 88 MB
% 2.32/0.93 % (2032513)Instructions burned: 3 (million)
% 2.32/0.93 % (2032513)------------------------------
% 2.32/0.93 % (2032513)------------------------------
% 2.32/0.93 % (2032504)Success in time 0.296 s
% 2.32/0.93 % Vampire exiting
%------------------------------------------------------------------------------