%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO082+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 0.08s 0.38s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 6 unt; 0 def)
% Number of atoms : 53 ( 14 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 44 ( 14 ~; 16 |; 6 &)
% ( 3 <=>; 4 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 31 ( 26 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X1)
=> incident_c(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',part_of_defn) ).
fof(f16,axiom,
! [X0,X1] :
( ! [X2] :
( incident_c(X2,X0)
<=> incident_c(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',c9) ).
fof(f17,conjecture,
! [X0,X1] :
( ( part_of(X0,X1)
& part_of(X1,X0) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_antisymmetry) ).
fof(f18,negated_conjecture,
~ ! [X0,X1] :
( ( part_of(X0,X1)
& part_of(X1,X0) )
=> X0 = X1 ),
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(f39,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( incident_c(X2,X0)
<~> incident_c(X2,X1) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f40,plain,
? [X0,X1] :
( X0 != X1
& part_of(X0,X1)
& part_of(X1,X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f41,plain,
? [X0,X1] :
( X0 != X1
& part_of(X0,X1)
& part_of(X1,X0) ),
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(f81,plain,
! [X0,X1] :
( incident_c(sK12(X0,X1),X1)
| incident_c(sK12(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f39]) ).
fof(f82,plain,
! [X0,X1] :
( ~ incident_c(sK12(X0,X1),X1)
| ~ incident_c(sK12(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f39]) ).
fof(f83,plain,
part_of(sK14,sK13),
inference(cnf_transformation,[],[f41]) ).
fof(f84,plain,
part_of(sK13,sK14),
inference(cnf_transformation,[],[f41]) ).
fof(f85,plain,
sK13 != sK14,
inference(cnf_transformation,[],[f41]) ).
fof(f96,plain,
! [X0] :
( ~ incident_c(X0,sK14)
| incident_c(X0,sK13) ),
inference(resolution,[],[f42,f83]) ).
fof(f97,plain,
! [X0] :
( incident_c(X0,sK14)
| ~ incident_c(X0,sK13) ),
inference(resolution,[],[f42,f84]) ).
fof(f143,plain,
! [X0] :
( incident_c(sK12(X0,sK14),X0)
| incident_c(sK12(X0,sK14),sK13)
| sK14 = X0 ),
inference(resolution,[],[f81,f96]) ).
fof(f151,plain,
! [X0] :
( ~ incident_c(sK12(X0,sK14),X0)
| ~ incident_c(sK12(X0,sK14),sK13)
| sK14 = X0 ),
inference(resolution,[],[f82,f97]) ).
fof(f167,plain,
( incident_c(sK12(sK13,sK14),sK13)
| sK13 = sK14 ),
inference(factoring,[],[f143]) ).
fof(f171,plain,
incident_c(sK12(sK13,sK14),sK13),
inference(forward_subsumption_resolution,[],[f167,f85]) ).
fof(f207,plain,
( ~ incident_c(sK12(sK13,sK14),sK13)
| sK13 = sK14 ),
inference(resolution,[],[f151,f171]) ).
fof(f213,plain,
sK13 = sK14,
inference(forward_subsumption_resolution,[],[f207,f171]) ).
fof(f215,plain,
$false,
inference(forward_subsumption_resolution,[],[f213,f85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO082+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.32 % CPULimit : 300
% 0.04/0.32 % WCLimit : 300
% 0.04/0.32 % DateTime : Sun Sep 27 06:52:50 UTC 2026
% 0.04/0.32 % CPUTime :
% 0.04/0.32 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.33 Running first-order model finding
% 0.08/0.33 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.38 % (2020069)Will run a generic schedule for satisfiability detection.
% 0.08/0.38 % (2020075)% WARNING: option uhcvi not known.
% 0.08/0.38 % (2020074)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4202164948_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.38 % (2020077)dis+10_1_sil=32000:sp=arity:random_seed=1141368199:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.38 % (2020076)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3963952605:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.38 % (2020078)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3979635712:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.38 % (2020075)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1539585899:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.38 % (2020079)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3217761917:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.38 % (2020080)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2713886573:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.38 % TRYING [1]
% 0.08/0.38 % TRYING [2]
% 0.08/0.38 % TRYING [3]
% 0.08/0.38 % (2020078) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2020069-2020078"...
% 0.08/0.38 % (2020078)...printing done.
% 0.08/0.38 % (2020078)Refutation found. Thanks to Tanya!
% 0.08/0.38 % SZS status Theorem for theBenchmark
% 0.08/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.38 % (2020078)------------------------------
% 0.08/0.38 % (2020078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.38 % (2020078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.38 % (2020078)CaDiCaL version: 2.1.3
% 0.08/0.38 % (2020078)Termination reason: Refutation
% 0.08/0.38 % (2020078)Time elapsed: 0.004 s
% 0.08/0.38 % (2020078)Peak memory usage: 12 MB
% 0.08/0.38 % (2020078)Instructions burned: 9 (million)
% 0.08/0.38 % (2020069)Success in time 0.035 s
% 0.08/0.38 % Vampire exiting
%------------------------------------------------------------------------------