%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO081-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 09:51:28 AM UTC 2026
% Result : Unsatisfiable 5.80s 1.95s
% Output : Refutation 5.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 12 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( incident_c(X2,X1)
| ~ incident_c(X2,X0)
| ~ part_of(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn_1) ).
fof(f2,axiom,
! [X0,X1] :
( incident_c(ax0_sk1(X0,X1),X0)
| part_of(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn_2) ).
fof(f3,axiom,
! [X0,X1] :
( ~ incident_c(ax0_sk1(X0,X1),X1)
| part_of(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn_3) ).
fof(f66,negated_conjecture,
part_of(sk14,sk15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_transitivity_67) ).
fof(f67,negated_conjecture,
part_of(sk15,sk16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_transitivity_68) ).
fof(f68,negated_conjecture,
~ part_of(sk14,sk16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_transitivity_69) ).
fof(f75,plain,
! [X2,X0,X1] :
( part_of(X0,X1)
| ~ part_of(X2,X1)
| ~ incident_c(ax0_sk1(X0,X1),X2) ),
inference(resolution,[],[f1,f3]) ).
fof(f132,plain,
! [X0] :
( ~ part_of(X0,sk16)
| ~ incident_c(ax0_sk1(sk14,sk16),X0) ),
inference(resolution,[],[f75,f68]) ).
fof(f220,plain,
~ incident_c(ax0_sk1(sk14,sk16),sk15),
inference(resolution,[],[f132,f67]) ).
fof(f226,plain,
! [X0] :
( ~ part_of(X0,sk15)
| ~ incident_c(ax0_sk1(sk14,sk16),X0) ),
inference(resolution,[],[f220,f1]) ).
fof(f304,plain,
~ incident_c(ax0_sk1(sk14,sk16),sk14),
inference(resolution,[],[f226,f66]) ).
fof(f309,plain,
part_of(sk14,sk16),
inference(resolution,[],[f304,f2]) ).
fof(f314,plain,
$false,
inference(forward_subsumption_resolution,[],[f309,f68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO081-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.42 % Computer : n010.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sun Sep 27 06:53:31 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.47 Running first-order theorem proving
% 0.16/0.47 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.80/1.95 % (590113)Input is clausal, will run a generic CNF schedule.
% 5.80/1.95 % (590121)lrs+10_1_sil=8000:sp=occurrence:random_seed=1488406473:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.80/1.95 % (590121)Refutation not found, incomplete strategy
% 5.80/1.95 % (590121)------------------------------
% 5.80/1.95 % (590121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/1.95 % (590121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/1.95 % (590121)CaDiCaL version: 2.1.3
% 5.80/1.95 % (590121)Termination reason: Refutation not found, incomplete strategy
% 5.80/1.95 % (590121)Time elapsed: 0.001 s
% 5.80/1.95 % (590121)Peak memory usage: 87 MB
% 5.80/1.95 % (590122)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=613061611:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.80/1.95 % (590122)Refutation not found, incomplete strategy
% 5.80/1.95 % (590122)------------------------------
% 5.80/1.95 % (590122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/1.95 % (590122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/1.95 % (590122)CaDiCaL version: 2.1.3
% 5.80/1.95 % (590122)Termination reason: Refutation not found, incomplete strategy
% 5.80/1.95 % (590122)Time elapsed: 0.002 s
% 5.80/1.95 % (590122)Peak memory usage: 87 MB
% 5.80/1.95 % (590118)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=766393181:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.80/1.95 % (590119)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2376119594:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.80/1.95 % (590123)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3054434813:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.80/1.95 % (590120)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3286478739:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.80/1.95 % (590124)dis-21_1_sil=8000:lcm=predicate:random_seed=1413954391: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)
% 5.80/1.95 % (590123)First to succeed.
% 5.80/1.95 % (590123)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-590113"
% 5.80/1.95 % (590124)Instruction limit reached!
% 5.80/1.95 % (590124)------------------------------
% 5.80/1.95 % (590124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/1.95 % (590124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/1.95 % (590124)CaDiCaL version: 2.1.3
% 5.80/1.95 % (590124)Termination reason: Instruction limit
% 5.80/1.95 % (590124)Termination phase: Saturation
% 5.80/1.95 % (590124)Time elapsed: 0.110 s
% 5.80/1.95 % (590124)Peak memory usage: 88 MB
% 5.80/1.95 % (590124)Instructions burned: 117 (million)
% 5.80/1.95 % (590121)------------------------------
% 5.80/1.95 % (590121)------------------------------
% 5.80/1.95 % (590122)------------------------------
% 5.80/1.95 % (590122)------------------------------
% 5.80/1.95 % (590133)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2622171989:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 5.80/1.95 % (590132)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=653041243:i=143:sd=2:aac=none:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/143Mi)
% 5.80/1.95 % (590133)Also succeeded, but the first one will report.
% 5.80/1.95 % (590132)Refutation not found, incomplete strategy
% 5.80/1.95 % (590132)------------------------------
% 5.80/1.95 % (590132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/1.95 % (590132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/1.95 % (590132)CaDiCaL version: 2.1.3
% 5.80/1.95 % (590132)Termination reason: Refutation not found, incomplete strategy
% 5.80/1.95 % (590132)Time elapsed: 0.002 s
% 5.80/1.95 % (590132)Peak memory usage: 88 MB
% 5.80/1.95 % (590132)Instructions burned: 1 (million)
% 5.80/1.95 % (590123)Refutation found. Thanks to Tanya!
% 5.80/1.95 % SZS status Unsatisfiable for theBenchmark
% 5.80/1.95 % SZS output start Proof for theBenchmark
% See solution above
% 5.80/1.95 % (590123)------------------------------
% 5.80/1.95 % (590123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.80/1.95 % (590123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.80/1.95 % (590123)CaDiCaL version: 2.1.3
% 5.80/1.95 % (590123)Termination reason: Refutation
% 5.80/1.95 % (590123)Time elapsed: 0.018 s
% 5.80/1.95 % (590123)Peak memory usage: 88 MB
% 5.80/1.95 % (590123)Instructions burned: 14 (million)
% 5.80/1.95 % (590123)------------------------------
% 5.80/1.95 % (590123)------------------------------
% 5.80/1.95 % (590113)Success in time 0.706 s
% 5.80/1.95 % Vampire exiting
%------------------------------------------------------------------------------