%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO081+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 : n014.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 09:53:31 AM UTC 2026
% Result : Theorem 0.16s 0.46s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 19 ( 5 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 33 ( 12 ~; 10 |; 6 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 23 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X1)
=> incident_c(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',part_of_defn) ).
fof(f17,conjecture,
! [X0,X1,X2] :
( ( part_of(X0,X1)
& part_of(X1,X2) )
=> part_of(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_transitivity) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] :
( ( part_of(X0,X1)
& part_of(X1,X2) )
=> part_of(X0,X2) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f21,plain,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X0)
| ~ incident_c(X2,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f40,plain,
? [X0,X1,X2] :
( ~ part_of(X0,X2)
& part_of(X0,X1)
& part_of(X1,X2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f41,plain,
? [X0,X1,X2] :
( ~ part_of(X0,X2)
& part_of(X0,X1)
& part_of(X1,X2) ),
inference(flattening,[],[f40]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ part_of(X1,X0)
| incident_c(X2,X0)
| ~ incident_c(X2,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f43,plain,
! [X0,X1] :
( incident_c(sK0(X0,X1),X1)
| part_of(X1,X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f44,plain,
! [X0,X1] :
( ~ incident_c(sK0(X0,X1),X0)
| part_of(X1,X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f83,plain,
part_of(sK14,sK15),
inference(cnf_transformation,[],[f41]) ).
fof(f84,plain,
part_of(sK13,sK14),
inference(cnf_transformation,[],[f41]) ).
fof(f85,plain,
~ part_of(sK13,sK15),
inference(cnf_transformation,[],[f41]) ).
fof(f112,plain,
! [X0] :
( incident_c(X0,sK15)
| ~ incident_c(X0,sK14) ),
inference(resolution,[],[f42,f83]) ).
fof(f113,plain,
! [X0] :
( incident_c(X0,sK14)
| ~ incident_c(X0,sK13) ),
inference(resolution,[],[f42,f84]) ).
fof(f117,plain,
! [X0] :
( ~ incident_c(sK0(sK15,X0),sK14)
| part_of(X0,sK15) ),
inference(resolution,[],[f112,f44]) ).
fof(f120,plain,
! [X0] :
( ~ incident_c(sK0(sK15,X0),sK13)
| part_of(X0,sK15) ),
inference(resolution,[],[f117,f113]) ).
fof(f126,plain,
( part_of(sK13,sK15)
| part_of(sK13,sK15) ),
inference(resolution,[],[f120,f43]) ).
fof(f127,plain,
part_of(sK13,sK15),
inference(duplicate_literal_removal,[],[f126]) ).
fof(f128,plain,
$false,
inference(forward_subsumption_resolution,[],[f127,f85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO081+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n014.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 06:53:02 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 0.16/0.46 % (459122)Will run a generic schedule for satisfiability detection.
% 0.16/0.46 % (459133)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=301612711:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.46 % (459128)% WARNING: option uhcvi not known.
% 0.16/0.46 % (459127)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2989280157_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.46 % (459132)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3092290029:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.46 % (459129)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1687523955:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.46 % (459130)dis+10_1_sil=32000:sp=arity:random_seed=2614792153:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.46 % (459128)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3377264988:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.46 % (459131)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1535590474:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.46 % TRYING [1]
% 0.16/0.46 % TRYING [2]
% 0.16/0.46 % (459128) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-459122-459128"...
% 0.16/0.46 % (459131) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-459122-459131"...
% 0.16/0.46 % TRYING [3]
% 0.16/0.46 % (459128)...printing done.
% 0.16/0.46 % (459131)...printing done.
% 0.16/0.46 % (459128)Refutation found. Thanks to Tanya!
% 0.16/0.46 % SZS status Theorem for theBenchmark
% 0.16/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.46 % (459128)------------------------------
% 0.16/0.46 % (459128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.46 % (459128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.46 % (459128)CaDiCaL version: 2.1.3
% 0.16/0.46 % (459128)Termination reason: Refutation
% 0.16/0.46 % (459128)Time elapsed: 0.004 s
% 0.16/0.46 % (459128)Peak memory usage: 12 MB
% 0.16/0.46 % (459128)Instructions burned: 4 (million)
% 0.16/0.46 % (459122)Success in time 0.038 s
% 0.16/0.46 % Vampire exiting
%------------------------------------------------------------------------------