%------------------------------------------------------------------------------
% 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 : 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 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 14 unt; 2 def)
% Number of atoms : 63 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 19 ~; 14 |; 5 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 38 ( 0 sgn 34 !; 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/Axioms/GEO004+3.ax',connect_defn) ).
fof(f32,axiom,
! [X0,X1] :
( once(at_the_same_time(X0,X1))
=> ( once(X0)
& once(X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+3.ax',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/Axioms/GEO004+3.ax',at_on_trajectory) ).
fof(f34,axiom,
! [X0] :
? [X1] : trajectory_of(X0) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+3.ax',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(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(f69,plain,
! [X0,X1] :
( ( once(X0)
& once(X1) )
| ~ once(at_the_same_time(X0,X1)) ),
inference(ennf_transformation,[],[f32]) ).
fof(f73,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(f150,plain,
! [X2,X0,X1] :
( ~ connect(X0,X1,X2)
| once(at_the_same_time(at(X0,X2),at(X1,X2))) ),
inference(cnf_transformation,[],[f67]) ).
fof(f156,plain,
! [X0,X1] :
( ~ once(at_the_same_time(X0,X1))
| once(X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f157,plain,
! [X0,X1] :
( ~ once(at_the_same_time(X0,X1))
| once(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f159,plain,
! [X0,X1] :
( incident_o(X1,trajectory_of(X0))
| ~ once(at(X0,X1)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f160,plain,
! [X0] : trajectory_of(X0) = sK22(X0),
inference(cnf_transformation,[],[f34]) ).
fof(f163,plain,
( ~ incident_o(sK24,trajectory_of(sK26))
| ~ incident_o(sK24,trajectory_of(sK25)) ),
inference(cnf_transformation,[],[f73]) ).
fof(f164,plain,
connect(sK25,sK26,sK24),
inference(cnf_transformation,[],[f73]) ).
fof(f165,plain,
! [X0,X1] :
( ~ once(at(X0,X1))
| incident_o(X1,sK22(X0)) ),
inference(definition_unfolding,[],[f159,f160]) ).
fof(f168,plain,
( ~ incident_o(sK24,sK22(sK26))
| ~ incident_o(sK24,sK22(sK25)) ),
inference(definition_unfolding,[],[f163,f160,f160]) ).
fof(f231,definition,
( spl27_1
<=> incident_o(sK24,sK22(sK25)) ),
introduced(definition,[new_symbols(definition,[spl27_1])],[avatar_definition]) ).
fof(f235,definition,
( spl27_2
<=> incident_o(sK24,sK22(sK26)) ),
introduced(definition,[new_symbols(definition,[spl27_2])],[avatar_definition]) ).
fof(f237,plain,
( ~ incident_o(sK24,sK22(sK26))
| spl27_2 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f238,plain,
( ~ spl27_1
| ~ spl27_2 ),
inference(avatar_split_clause,[],[f168,f235,f231]) ).
fof(f295,plain,
once(at_the_same_time(at(sK25,sK24),at(sK26,sK24))),
inference(resolution,[],[f150,f164]) ).
fof(f300,plain,
once(at(sK25,sK24)),
inference(resolution,[],[f295,f157]) ).
fof(f301,plain,
once(at(sK26,sK24)),
inference(resolution,[],[f295,f156]) ).
fof(f314,plain,
incident_o(sK24,sK22(sK25)),
inference(resolution,[],[f300,f165]) ).
fof(f317,plain,
spl27_1,
inference(avatar_split_clause,[],[f314,f231]) ).
fof(f320,plain,
incident_o(sK24,sK22(sK26)),
inference(resolution,[],[f301,f165]) ).
fof(f321,plain,
( $false
| spl27_2 ),
inference(forward_subsumption_resolution,[],[f320,f237]) ).
fof(f322,plain,
spl27_2,
inference(avatar_contradiction_clause,[],[f321]) ).
cnf(s1,plain,
( ~ spl27_1
| ~ spl27_2 ),
inference(sat_conversion,[],[f238]) ).
cnf(s3,plain,
spl27_1,
inference(sat_conversion,[],[f317]) ).
cnf(s4,plain,
spl27_2,
inference(sat_conversion,[],[f322]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s3]) ).
fof(f323,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO147+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n018.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 07:17:38 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.18/0.48 % (1984991)Will run a generic schedule for satisfiability detection.
% 0.18/0.48 % (1984996)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2022881061_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.48 % (1984997)% WARNING: option uhcvi not known.
% 0.18/0.48 % TRYING [1]
% 0.18/0.48 % TRYING [2]
% 0.18/0.48 % TRYING [3]
% 0.18/0.48 % (1985000)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1481322156:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.48 % (1984997)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4149531155:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.48 % (1984999)dis+10_1_sil=32000:sp=arity:random_seed=2880059603:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.48 % (1984998)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3528984215:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.48 % (1985001)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3584269357:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.48 % (1985002)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=174910024:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.48 % TRYING [4]
% 0.18/0.48 % (1984997) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1984991-1984997"...
% 0.18/0.48 % (1984999) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1984991-1984999"...
% 0.18/0.48 % (1985000) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1984991-1985000"...
% 0.18/0.48 % (1984997)...printing done.
% 0.18/0.48 % (1984999)...printing done.
% 0.18/0.48 % (1985001) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1984991-1985001"...
% 0.18/0.48 % (1985000)...printing done.
% 0.18/0.48 % (1984997)Refutation found. Thanks to Tanya!
% 0.18/0.48 % SZS status Theorem for theBenchmark
% 0.18/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48 % (1984997)------------------------------
% 0.18/0.48 % (1984997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.48 % (1984997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.48 % (1984997)CaDiCaL version: 2.1.3
% 0.18/0.48 % (1984997)Termination reason: Refutation
% 0.18/0.48 % (1984997)Time elapsed: 0.008 s
% 0.18/0.48 % (1984997)Peak memory usage: 12 MB
% 0.18/0.48 % (1984997)Instructions burned: 9 (million)
% 0.18/0.48 % (1984991)Success in time 0.043 s
% 0.18/0.48 % Vampire exiting
%------------------------------------------------------------------------------