%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n013.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 : Unsatisfiable 0.15s 0.47s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 12 unt; 2 def)
% Number of atoms : 42 ( 1 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 31 ( 16 ~; 13 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 18 !; 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/Axioms/GEO004-3.ax',connect_defn_1) ).
fof(f131,axiom,
! [X0,X1] :
( ~ once(at_the_same_time(X0,X1))
| once(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-3.ax',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/Axioms/GEO004-3.ax',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/Axioms/GEO004-3.ax',at_on_trajectory_10) ).
fof(f135,axiom,
! [X0] : trajectory_of(X0) = ax3_sk1(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-3.ax',trajectories_are_oriented_curves_12) ).
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(f140,plain,
! [X0,X1] :
( ~ once(at(X0,X1))
| incident_o(X1,ax3_sk1(X0)) ),
inference(definition_unfolding,[],[f133,f135]) ).
fof(f143,plain,
( ~ incident_o(sk27,ax3_sk1(sk28))
| ~ incident_o(sk27,ax3_sk1(sk29)) ),
inference(definition_unfolding,[],[f139,f135,f135]) ).
fof(f152,definition,
( spl0_1
<=> incident_o(sk27,ax3_sk1(sk29)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f156,definition,
( spl0_2
<=> incident_o(sk27,ax3_sk1(sk28)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f158,plain,
( ~ incident_o(sk27,ax3_sk1(sk28))
| spl0_2 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f159,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f143,f156,f152]) ).
fof(f309,plain,
! [X2,X0,X1] :
( ~ connect(X0,X1,X2)
| once(at(X1,X2)) ),
inference(resolution,[],[f124,f132]) ).
fof(f310,plain,
! [X2,X0,X1] :
( ~ connect(X0,X1,X2)
| once(at(X0,X2)) ),
inference(resolution,[],[f124,f131]) ).
fof(f311,plain,
once(at(sk29,sk27)),
inference(resolution,[],[f309,f138]) ).
fof(f314,plain,
incident_o(sk27,ax3_sk1(sk29)),
inference(resolution,[],[f311,f140]) ).
fof(f317,plain,
spl0_1,
inference(avatar_split_clause,[],[f314,f152]) ).
fof(f321,plain,
once(at(sk28,sk27)),
inference(resolution,[],[f310,f138]) ).
fof(f323,plain,
incident_o(sk27,ax3_sk1(sk28)),
inference(resolution,[],[f321,f140]) ).
fof(f324,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f323,f158]) ).
fof(f325,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f324]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f159]) ).
cnf(s3,plain,
spl0_1,
inference(sat_conversion,[],[f317]) ).
cnf(s4,plain,
spl0_2,
inference(sat_conversion,[],[f325]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s3]) ).
fof(f326,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO147-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n013.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 07:15:06 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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 % (4077560)Will run a generic schedule for satisfiability detection.
% 0.15/0.47 % (4077565)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=731824567_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.47 % (4077566)% WARNING: option uhcvi not known.
% 0.15/0.47 % TRYING [1]
% 0.15/0.47 % TRYING [2]
% 0.15/0.47 % TRYING [3]
% 0.15/0.47 % (4077566)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2433186378:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.47 % (4077568)dis+10_1_sil=32000:sp=arity:random_seed=2889272762:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.47 % (4077567)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=714276852:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.47 % (4077569)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1479170814:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.47 % (4077571)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3316594444:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.47 % (4077570)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=606343601:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.47 % (4077568) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4077560-4077568"...
% 0.15/0.47 % (4077568)...printing done.
% 0.15/0.47 % (4077569) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4077560-4077569"...
% 0.15/0.47 % (4077568)Refutation found. Thanks to Tanya!
% 0.15/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.47 % (4077568)------------------------------
% 0.15/0.47 % (4077568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.47 % (4077568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.47 % (4077568)CaDiCaL version: 2.1.3
% 0.15/0.47 % (4077568)Termination reason: Refutation
% 0.15/0.47 % (4077568)Time elapsed: 0.007 s
% 0.15/0.47 % (4077568)Peak memory usage: 12 MB
% 0.15/0.47 % (4077568)Instructions burned: 9 (million)
% 0.15/0.47 % (4077560)Success in time 0.043 s
% 0.15/0.47 % Vampire exiting
%------------------------------------------------------------------------------