%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n018.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 09:53:42 AM UTC 2026
% Result : Theorem 0.15s 0.47s
% Output : Refutation 0.15s
% 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/Axioms/GEO004+3.ax',connect_defn) ).
fof(f34,axiom,
! [X0] :
? [X1] : trajectory_of(X0) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+3.ax',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/Axioms/GEO004+3.ax',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(f40,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(f67,plain,
! [X0,X1,X2] :
( once(at_the_same_time(at(X0,X2),at(X1,X2)))
| ~ connect(X0,X1,X2) ),
inference(ennf_transformation,[],[f40]) ).
fof(f70,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(f71,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,[],[f70]) ).
fof(f73,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(f74,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,[],[f73]) ).
fof(f125,plain,
! [X0] : trajectory_of(X0) = sK22(X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(X1,sK22(X0))],[f34]) ).
fof(f127,plain,
( once(at_the_same_time(at(sK25,sK27),at(sK26,sK28)))
& ordered_by(trajectory_of(sK26),sK28,sK24)
& ordered_by(trajectory_of(sK25),sK24,sK27)
& connect(sK25,sK26,sK24) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24,sK25,sK26,sK27,sK28]),skolemize(X0,sK24),skolemize(X1,sK25),skolemize(X2,sK26),skolemize(X3,sK27),skolemize(X4,sK28)],[f74]) ).
fof(f204,plain,
! [X2,X0,X1] :
( once(at_the_same_time(at(X0,X2),at(X1,X2)))
| ~ connect(X0,X1,X2) ),
inference(cnf_transformation,[],[f67]) ).
fof(f214,plain,
! [X0] : trajectory_of(X0) = sK22(X0),
inference(cnf_transformation,[],[f125]) ).
fof(f215,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,[],[f71]) ).
fof(f217,plain,
connect(sK25,sK26,sK24),
inference(cnf_transformation,[],[f127]) ).
fof(f218,plain,
ordered_by(trajectory_of(sK25),sK24,sK27),
inference(cnf_transformation,[],[f127]) ).
fof(f219,plain,
ordered_by(trajectory_of(sK26),sK28,sK24),
inference(cnf_transformation,[],[f127]) ).
fof(f220,plain,
once(at_the_same_time(at(sK25,sK27),at(sK26,sK28))),
inference(cnf_transformation,[],[f127]) ).
fof(f223,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ once(at_the_same_time(at(X4,X2),at(X5,X3)))
| ~ ordered_by(sK22(X5),X3,X1)
| ~ once(at_the_same_time(at(X4,X0),at(X5,X1)))
| ~ ordered_by(sK22(X4),X0,X2) ),
inference(definition_unfolding,[],[f215,f214,f214]) ).
fof(f224,plain,
ordered_by(sK22(sK26),sK28,sK24),
inference(definition_unfolding,[],[f219,f214]) ).
fof(f225,plain,
ordered_by(sK22(sK25),sK24,sK27),
inference(definition_unfolding,[],[f218,f214]) ).
fof(f655,plain,
! [X0,X1] :
( ~ once(at_the_same_time(at(sK25,X1),at(sK26,X0)))
| ~ ordered_by(sK22(sK26),sK28,X0)
| ~ ordered_by(sK22(sK25),X1,sK27) ),
inference(resolution,[],[f223,f220]) ).
fof(f662,plain,
! [X0] :
( ~ ordered_by(sK22(sK26),sK28,X0)
| ~ ordered_by(sK22(sK25),X0,sK27)
| ~ connect(sK25,sK26,X0) ),
inference(resolution,[],[f655,f204]) ).
fof(f680,plain,
( ~ ordered_by(sK22(sK25),sK24,sK27)
| ~ connect(sK25,sK26,sK24) ),
inference(resolution,[],[f662,f224]) ).
fof(f690,plain,
~ connect(sK25,sK26,sK24),
inference(forward_subsumption_resolution,[],[f680,f225]) ).
fof(f691,plain,
$false,
inference(forward_subsumption_resolution,[],[f690,f217]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % 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 SAT
% 0.11/0.39 % Computer : n018.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 07:17:54 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.47 % (1985428)Will run a generic schedule for satisfiability detection.
% 0.15/0.47 % (1985436)dis+10_1_sil=32000:sp=arity:random_seed=3859798399:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.47 % (1985434)% WARNING: option uhcvi not known.
% 0.15/0.47 % (1985433)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=573866234_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.47 % (1985434)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2074878121:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.47 % (1985435)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3027451005:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.47 % (1985437)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2212856991:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.47 % (1985438)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1763364685:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.47 % (1985439)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4040821664:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.47 % (1985436) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1985428-1985436"...
% 0.15/0.47 % (1985436)...printing done.
% 0.15/0.47 % (1985436)Refutation found. Thanks to Tanya!
% 0.15/0.47 % SZS status Theorem for theBenchmark
% 0.15/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.47 % (1985436)------------------------------
% 0.15/0.47 % (1985436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.47 % (1985436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.47 % (1985436)CaDiCaL version: 2.1.3
% 0.15/0.47 % (1985436)Termination reason: Refutation
% 0.15/0.47 % (1985436)Time elapsed: 0.010 s
% 0.15/0.47 % (1985436)Peak memory usage: 12 MB
% 0.15/0.47 % (1985436)Instructions burned: 26 (million)
% 0.15/0.47 % (1985428)Success in time 0.037 s
% 0.15/0.47 % Vampire exiting
%------------------------------------------------------------------------------