%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO080+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 : n017.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 09:51:28 AM UTC 2026
% Result : Theorem 2.54s 1.32s
% Output : Refutation 2.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 37 ( 15 ~; 13 |; 6 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 26 ( 23 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X1)
=> incident_c(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_defn) ).
fof(f17,conjecture,
! [X0] : part_of(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_reflexivity) ).
fof(f18,negated_conjecture,
~ ! [X0] : part_of(X0,X0),
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] : ~ part_of(X0,X0),
inference(ennf_transformation,[],[f18]) ).
fof(f41,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ? [X2] :
( ~ incident_c(X2,X0)
& incident_c(X2,X1) ) )
& ( ! [X2] :
( incident_c(X2,X0)
| ~ incident_c(X2,X1) )
| ~ part_of(X1,X0) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f42,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ? [X2] :
( ~ incident_c(X2,X0)
& incident_c(X2,X1) ) )
& ( ! [X3] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1) )
| ~ part_of(X1,X0) ) ),
inference(rectify,[],[f41]) ).
fof(f43,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ( ~ incident_c(sK0(X0,X1),X0)
& incident_c(sK0(X0,X1),X1) ) )
& ( ! [X3] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1) )
| ~ part_of(X1,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f42]) ).
fof(f67,plain,
~ part_of(sK13,sK13),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X0,sK13)],[f40]) ).
fof(f69,plain,
! [X0,X1] :
( incident_c(sK0(X0,X1),X1)
| part_of(X1,X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f70,plain,
! [X0,X1] :
( ~ incident_c(sK0(X0,X1),X0)
| part_of(X1,X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f109,plain,
~ part_of(sK13,sK13),
inference(cnf_transformation,[],[f67]) ).
fof(f114,plain,
! [X0] :
( part_of(X0,X0)
| part_of(X0,X0) ),
inference(resolution,[],[f70,f69]) ).
fof(f115,plain,
! [X0] : part_of(X0,X0),
inference(duplicate_literal_removal,[],[f114]) ).
fof(f116,plain,
$false,
inference(resolution,[],[f115,f109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO080+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n017.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 06:48:20 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 2.54/1.32 % (2198627)Detected formulas, will run a generic FOF schedule.
% 2.54/1.32 % (2198637)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=298196121:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.54/1.32 % (2198637)First to succeed.
% 2.54/1.32 % (2198637)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2198627"
% 2.54/1.32 % (2198638)dis-21_1_sil=8000:lcm=predicate:random_seed=74231297:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.54/1.32 % (2198636)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=813087857:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.54/1.32 % (2198635)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3811240499:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.54/1.32 % (2198632)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=1990972572:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.54/1.32 % (2198634)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2307669426:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.54/1.32 % (2198633)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2475658928:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.54/1.32 % (2198638)Also succeeded, but the first one will report.
% 2.54/1.32 % (2198636)Also succeeded, but the first one will report.
% 2.54/1.32 % (2198635)Refutation not found, incomplete strategy
% 2.54/1.32 % (2198635)------------------------------
% 2.54/1.32 % (2198635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.32 % (2198635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.32 % (2198635)CaDiCaL version: 2.1.3
% 2.54/1.32 % (2198635)Termination reason: Refutation not found, incomplete strategy
% 2.54/1.32 % (2198635)Time elapsed: 0.002 s
% 2.54/1.32 % (2198635)Peak memory usage: 88 MB
% 2.54/1.32 % (2198635)Instructions burned: 1 (million)
% 2.54/1.32 % (2198637)Refutation found. Thanks to Tanya!
% 2.54/1.32 % SZS status Theorem for theBenchmark
% 2.54/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 2.54/1.32 % (2198637)------------------------------
% 2.54/1.32 % (2198637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.32 % (2198637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.32 % (2198637)CaDiCaL version: 2.1.3
% 2.54/1.32 % (2198637)Termination reason: Refutation
% 2.54/1.32 % (2198637)Time elapsed: 0.002 s
% 2.54/1.32 % (2198637)Peak memory usage: 89 MB
% 2.54/1.32 % (2198637)Instructions burned: 2 (million)
% 2.54/1.32 % (2198637)------------------------------
% 2.54/1.32 % (2198637)------------------------------
% 2.54/1.32 % (2198627)Success in time 0.272 s
% 2.54/1.32 % Vampire exiting
%------------------------------------------------------------------------------