%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO086+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 09:51:29 AM UTC 2026
% Result : Theorem 3.36s 1.35s
% Output : Refutation 3.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 35 ( 6 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 29 ( 10 ~; 7 |; 9 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 16 ( 12 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] :
( ( part_of(X1,X0)
& X1 != X0 )
=> open(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c1) ).
fof(f17,conjecture,
! [X0,X1] :
( ( open(X0)
& part_of(X1,X0) )
=> open(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_2_7_2) ).
fof(f18,negated_conjecture,
~ ! [X0,X1] :
( ( open(X0)
& part_of(X1,X0) )
=> open(X1) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0,X1] :
( ~ open(X1)
& open(X0)
& part_of(X1,X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
? [X0,X1] :
( ~ open(X1)
& open(X0)
& part_of(X1,X0) ),
inference(flattening,[],[f19]) ).
fof(f26,plain,
! [X0,X1] :
( open(X1)
| ~ part_of(X1,X0)
| X0 = X1 ),
inference(ennf_transformation,[],[f8]) ).
fof(f27,plain,
! [X0,X1] :
( open(X1)
| ~ part_of(X1,X0)
| X0 = X1 ),
inference(flattening,[],[f26]) ).
fof(f32,plain,
( ~ open(sK1)
& open(sK0)
& part_of(sK1,sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f20]) ).
fof(f46,plain,
part_of(sK1,sK0),
inference(cnf_transformation,[],[f32]) ).
fof(f47,plain,
open(sK0),
inference(cnf_transformation,[],[f32]) ).
fof(f48,plain,
~ open(sK1),
inference(cnf_transformation,[],[f32]) ).
fof(f61,plain,
! [X0,X1] :
( ~ part_of(X1,X0)
| open(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f27]) ).
fof(f73,plain,
( open(sK1)
| sK0 = sK1 ),
inference(resolution,[],[f61,f46]) ).
fof(f74,plain,
sK0 = sK1,
inference(forward_subsumption_resolution,[],[f73,f48]) ).
fof(f76,plain,
~ open(sK0),
inference(superposition,[],[f48,f74]) ).
fof(f77,plain,
$false,
inference(forward_subsumption_resolution,[],[f76,f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO086+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n010.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 06:54:17 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 3.36/1.35 % (591811)Detected formulas, will run a generic FOF schedule.
% 3.36/1.35 % (591818)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=2919729217:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.36/1.35 % (591821)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2576567339:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.36/1.35 % (591820)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2330954862:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.36/1.35 % (591816)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=3435303284:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.36/1.35 % (591817)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=1599543904:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.36/1.35 % (591819)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3709457710:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.36/1.35 % (591822)dis-21_1_sil=8000:lcm=predicate:random_seed=3020512842: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)
% 3.36/1.35 % (591820)First to succeed.
% 3.36/1.35 % (591819)Also succeeded, but the first one will report.
% 3.36/1.35 % (591820)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-591811"
% 3.36/1.35 % (591821)Also succeeded, but the first one will report.
% 3.36/1.35 % (591822)Instruction limit reached!
% 3.36/1.35 % (591822)------------------------------
% 3.36/1.35 % (591822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.35 % (591822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.35 % (591822)CaDiCaL version: 2.1.3
% 3.36/1.35 % (591822)Termination reason: Instruction limit
% 3.36/1.35 % (591822)Termination phase: Saturation
% 3.36/1.35 % (591822)Time elapsed: 0.077 s
% 3.36/1.35 % (591822)Peak memory usage: 89 MB
% 3.36/1.35 % (591822)Instructions burned: 130 (million)
% 3.36/1.35 % (591830)lrs+10_1_sil=8000:sp=occurrence:random_seed=3190162197:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.36/1.35 % (591830)Also succeeded, but the first one will report.
% 3.36/1.35 % (591820)Refutation found. Thanks to Tanya!
% 3.36/1.35 % SZS status Theorem for theBenchmark
% 3.36/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 3.36/1.35 % (591820)------------------------------
% 3.36/1.35 % (591820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.35 % (591820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.35 % (591820)CaDiCaL version: 2.1.3
% 3.36/1.35 % (591820)Termination reason: Refutation
% 3.36/1.35 % (591820)Time elapsed: 0.002 s
% 3.36/1.35 % (591820)Peak memory usage: 88 MB
% 3.36/1.35 % (591820)Instructions burned: 1 (million)
% 3.36/1.35 % (591820)------------------------------
% 3.36/1.35 % (591820)------------------------------
% 3.36/1.35 % (591811)Success in time 0.405 s
% 3.36/1.35 % Vampire exiting
%------------------------------------------------------------------------------