%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO258+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 09:52:15 AM UTC 2026
% Result : Theorem 2.66s 1.32s
% Output : Refutation 2.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 28 ( 8 unt; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 74 ( 29 ~; 30 |; 12 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 48 ( 44 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1,X2,X3] :
( between_on_line(X0,X1,X2,X3)
<=> ( ( before_on_line(X0,X1,X2)
& before_on_line(X0,X2,X3) )
| ( before_on_line(X0,X3,X2)
& before_on_line(X0,X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bet_def) ).
fof(f32,conjecture,
! [X0,X1,X2,X3] :
( between_on_line(X0,X1,X2,X3)
=> between_on_line(X0,X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f33,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( between_on_line(X0,X1,X2,X3)
=> between_on_line(X0,X3,X2,X1) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f34,plain,
? [X0,X1,X2,X3] :
( ~ between_on_line(X0,X3,X2,X1)
& between_on_line(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f33]) ).
fof(f46,plain,
( ~ between_on_line(sK0,sK3,sK2,sK1)
& between_on_line(sK0,sK1,sK2,sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f34]) ).
fof(f47,plain,
! [X0,X1,X2,X3] :
( ( between_on_line(X0,X1,X2,X3)
| ( ( ~ before_on_line(X0,X1,X2)
| ~ before_on_line(X0,X2,X3) )
& ( ~ before_on_line(X0,X3,X2)
| ~ before_on_line(X0,X2,X1) ) ) )
& ( ( before_on_line(X0,X1,X2)
& before_on_line(X0,X2,X3) )
| ( before_on_line(X0,X3,X2)
& before_on_line(X0,X2,X1) )
| ~ between_on_line(X0,X1,X2,X3) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f48,plain,
! [X0,X1,X2,X3] :
( ( between_on_line(X0,X1,X2,X3)
| ( ( ~ before_on_line(X0,X1,X2)
| ~ before_on_line(X0,X2,X3) )
& ( ~ before_on_line(X0,X3,X2)
| ~ before_on_line(X0,X2,X1) ) ) )
& ( ( before_on_line(X0,X1,X2)
& before_on_line(X0,X2,X3) )
| ( before_on_line(X0,X3,X2)
& before_on_line(X0,X2,X1) )
| ~ between_on_line(X0,X1,X2,X3) ) ),
inference(flattening,[],[f47]) ).
fof(f51,plain,
between_on_line(sK0,sK1,sK2,sK3),
inference(cnf_transformation,[],[f46]) ).
fof(f52,plain,
~ between_on_line(sK0,sK3,sK2,sK1),
inference(cnf_transformation,[],[f46]) ).
fof(f53,plain,
! [X2,X3,X0,X1] :
( ~ between_on_line(X0,X1,X2,X3)
| before_on_line(X0,X2,X1)
| before_on_line(X0,X2,X3) ),
inference(cnf_transformation,[],[f48]) ).
fof(f54,plain,
! [X2,X3,X0,X1] :
( ~ between_on_line(X0,X1,X2,X3)
| before_on_line(X0,X3,X2)
| before_on_line(X0,X2,X3) ),
inference(cnf_transformation,[],[f48]) ).
fof(f55,plain,
! [X2,X3,X0,X1] :
( ~ between_on_line(X0,X1,X2,X3)
| before_on_line(X0,X2,X1)
| before_on_line(X0,X1,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f56,plain,
! [X2,X3,X0,X1] :
( ~ between_on_line(X0,X1,X2,X3)
| before_on_line(X0,X3,X2)
| before_on_line(X0,X1,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f57,plain,
! [X2,X3,X0,X1] :
( between_on_line(X0,X1,X2,X3)
| ~ before_on_line(X0,X3,X2)
| ~ before_on_line(X0,X2,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f58,plain,
! [X2,X3,X0,X1] :
( between_on_line(X0,X1,X2,X3)
| ~ before_on_line(X0,X1,X2)
| ~ before_on_line(X0,X2,X3) ),
inference(cnf_transformation,[],[f48]) ).
fof(f82,plain,
( before_on_line(sK0,sK2,sK3)
| before_on_line(sK0,sK2,sK1) ),
inference(resolution,[],[f53,f51]) ).
fof(f84,plain,
( before_on_line(sK0,sK3,sK2)
| before_on_line(sK0,sK2,sK3) ),
inference(resolution,[],[f54,f51]) ).
fof(f86,plain,
( before_on_line(sK0,sK2,sK1)
| before_on_line(sK0,sK1,sK2) ),
inference(resolution,[],[f55,f51]) ).
fof(f88,plain,
( before_on_line(sK0,sK3,sK2)
| before_on_line(sK0,sK1,sK2) ),
inference(resolution,[],[f56,f51]) ).
fof(f90,plain,
( ~ before_on_line(sK0,sK2,sK3)
| ~ before_on_line(sK0,sK1,sK2) ),
inference(resolution,[],[f57,f52]) ).
fof(f96,plain,
( ~ before_on_line(sK0,sK3,sK2)
| ~ before_on_line(sK0,sK2,sK1) ),
inference(resolution,[],[f58,f52]) ).
fof(f109,plain,
( ~ before_on_line(sK0,sK1,sK2)
| before_on_line(sK0,sK2,sK1) ),
inference(resolution,[],[f90,f82]) ).
fof(f110,plain,
before_on_line(sK0,sK2,sK1),
inference(forward_subsumption_resolution,[],[f109,f86]) ).
fof(f119,plain,
~ before_on_line(sK0,sK3,sK2),
inference(forward_subsumption_resolution,[],[f96,f110]) ).
fof(f120,plain,
before_on_line(sK0,sK1,sK2),
inference(resolution,[],[f119,f88]) ).
fof(f121,plain,
before_on_line(sK0,sK2,sK3),
inference(resolution,[],[f119,f84]) ).
fof(f126,plain,
~ before_on_line(sK0,sK1,sK2),
inference(resolution,[],[f121,f90]) ).
fof(f128,plain,
$false,
inference(forward_subsumption_resolution,[],[f126,f120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO258+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n014.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 07:53:47 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 2.66/1.32 % (482265)Detected formulas, will run a generic FOF schedule.
% 2.66/1.32 % (482274)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2257272868:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.66/1.32 % (482274)First to succeed.
% 2.66/1.32 % (482274)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-482265"
% 2.66/1.32 % (482270)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=847779063:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.66/1.32 % (482275)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2546762514:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.66/1.32 % (482273)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3804289156:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.66/1.32 % (482271)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=344625811:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.66/1.32 % (482272)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=1265040955:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.66/1.32 % (482273)Also succeeded, but the first one will report.
% 2.66/1.32 % (482276)dis-21_1_sil=8000:lcm=predicate:random_seed=3684744546: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)
% 2.66/1.32 % (482275)Also succeeded, but the first one will report.
% 2.66/1.32 % (482276)Also succeeded, but the first one will report.
% 2.66/1.32 % (482274)Refutation found. Thanks to Tanya!
% 2.66/1.32 % SZS status Theorem for theBenchmark
% 2.66/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 2.66/1.32 % (482274)------------------------------
% 2.66/1.32 % (482274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.32 % (482274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.32 % (482274)CaDiCaL version: 2.1.3
% 2.66/1.32 % (482274)Termination reason: Refutation
% 2.66/1.32 % (482274)Time elapsed: 0.002 s
% 2.66/1.32 % (482274)Peak memory usage: 88 MB
% 2.66/1.32 % (482274)Instructions burned: 3 (million)
% 2.66/1.32 % (482274)------------------------------
% 2.66/1.32 % (482274)------------------------------
% 2.66/1.32 % (482265)Success in time 0.289 s
% 2.66/1.32 % Vampire exiting
%------------------------------------------------------------------------------