%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO146-1 : 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 : n010.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 : Unsatisfiable 2.42s 1.10s
% Output : Refutation 2.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 30 ( 4 unt; 2 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 52 ( 24 ~; 26 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn 11 !; 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/theBenchmark.p',connect_defn_1) ).
fof(f125,axiom,
! [X2,X0,X1] :
( ~ once(at_the_same_time(at(X0,X1),at(X2,X1)))
| connect(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',connect_defn_2) ).
fof(f126,axiom,
! [X0,X1] :
( once(at_the_same_time(X1,X0))
| ~ once(at_the_same_time(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_at_the_same_time_3) ).
fof(f138,negated_conjecture,
( connect(sk27,sk28,sk29)
| connect(sk28,sk27,sk29) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_156) ).
fof(f141,negated_conjecture,
( ~ connect(sk28,sk27,sk29)
| ~ connect(sk27,sk28,sk29) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_159) ).
fof(f150,definition,
( spl0_1
<=> connect(sk27,sk28,sk29) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f151,plain,
( connect(sk27,sk28,sk29)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f152,plain,
( ~ connect(sk27,sk28,sk29)
| spl0_1 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f154,definition,
( spl0_2
<=> connect(sk28,sk27,sk29) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f155,plain,
( connect(sk28,sk27,sk29)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f156,plain,
( ~ connect(sk28,sk27,sk29)
| spl0_2 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f157,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f141,f154,f150]) ).
fof(f158,plain,
( spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f138,f150,f154]) ).
fof(f163,plain,
! [X2,X0,X1] :
( connect(X2,X0,X1)
| ~ once(at_the_same_time(at(X0,X1),at(X2,X1))) ),
inference(resolution,[],[f126,f125]) ).
fof(f172,plain,
( ~ once(at_the_same_time(at(sk28,sk29),at(sk27,sk29)))
| spl0_1 ),
inference(resolution,[],[f163,f152]) ).
fof(f173,plain,
( ~ connect(sk28,sk27,sk29)
| spl0_1 ),
inference(resolution,[],[f172,f124]) ).
fof(f177,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f173,f155]) ).
fof(f178,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f177]) ).
fof(f179,plain,
( ~ once(at_the_same_time(at(sk27,sk29),at(sk28,sk29)))
| spl0_2 ),
inference(resolution,[],[f156,f163]) ).
fof(f180,plain,
( ~ connect(sk27,sk28,sk29)
| spl0_2 ),
inference(resolution,[],[f179,f124]) ).
fof(f184,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f180,f151]) ).
fof(f185,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f184]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f157]) ).
cnf(s2,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f158]) ).
cnf(s3,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f178]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f185]) ).
cnf(s5,plain,
spl0_1,
inference(rat,[],[s2,s3]) ).
cnf(s6,plain,
spl0_2,
inference(rat,[],[s4,s5]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s6,s5]) ).
fof(f186,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO146-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n010.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 07:15:31 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 2.42/1.10 % (602200)Input is clausal, will run a generic CNF schedule.
% 2.42/1.10 % (602210)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4155906911:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.42/1.10 % (602210)First to succeed.
% 2.42/1.10 % (602210)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-602200"
% 2.42/1.10 % (602209)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2075561212:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.42/1.10 % (602205)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=1404203887:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.42/1.10 % (602208)lrs+10_1_sil=8000:sp=occurrence:random_seed=4247890320:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.42/1.10 % (602207)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2837566036:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.42/1.10 % (602206)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2767643385:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.42/1.10 % (602211)dis-21_1_sil=8000:lcm=predicate:random_seed=4225991894:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.42/1.10 % (602211)Also succeeded, but the first one will report.
% 2.42/1.10 % (602208)Also succeeded, but the first one will report.
% 2.42/1.10 % (602209)Also succeeded, but the first one will report.
% 2.42/1.10 % (602210)Refutation found. Thanks to Tanya!
% 2.42/1.10 % SZS status Unsatisfiable for theBenchmark
% 2.42/1.10 % SZS output start Proof for theBenchmark
% See solution above
% 2.42/1.10 % (602210)------------------------------
% 2.42/1.10 % (602210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.42/1.10 % (602210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/1.10 % (602210)CaDiCaL version: 2.1.3
% 2.42/1.10 % (602210)Termination reason: Refutation
% 2.42/1.10 % (602210)Time elapsed: 0.004 s
% 2.42/1.10 % (602210)Peak memory usage: 90 MB
% 2.42/1.10 % (602210)Instructions burned: 7 (million)
% 2.42/1.10 % (602210)------------------------------
% 2.42/1.10 % (602210)------------------------------
% 2.42/1.10 % (602200)Success in time 0.294 s
% 2.42/1.10 % Vampire exiting
%------------------------------------------------------------------------------