%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO232+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 09:52:09 AM UTC 2026
% Result : Theorem 2.54s 1.31s
% Output : Refutation 2.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 35 ( 16 ~; 13 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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; 0-1 aty)
% Number of variables : 13 ( 12 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] : ~ unequally_directed_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag5) ).
fof(f13,axiom,
! [X0,X1] :
( ( line(X0)
& line(X1) )
=> ( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag8) ).
fof(f32,conjecture,
! [X0] :
( line(X0)
=> unequally_directed_lines(X0,reverse_line(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f33,negated_conjecture,
~ ! [X0] :
( line(X0)
=> unequally_directed_lines(X0,reverse_line(X0)) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f34,plain,
? [X0] :
( ~ unequally_directed_lines(X0,reverse_line(X0))
& line(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f40,plain,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1))
| ~ line(X0)
| ~ line(X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f41,plain,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1))
| ~ line(X0)
| ~ line(X1) ),
inference(flattening,[],[f40]) ).
fof(f42,plain,
( ~ unequally_directed_lines(sK0,reverse_line(sK0))
& line(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f34]) ).
fof(f43,plain,
line(sK0),
inference(cnf_transformation,[],[f42]) ).
fof(f44,plain,
~ unequally_directed_lines(sK0,reverse_line(sK0)),
inference(cnf_transformation,[],[f42]) ).
fof(f50,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f10]) ).
fof(f52,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1)
| ~ line(X0)
| ~ line(X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f57,plain,
( unequally_directed_lines(sK0,sK0)
| ~ line(sK0)
| ~ line(sK0) ),
inference(resolution,[],[f52,f44]) ).
fof(f59,plain,
( unequally_directed_lines(sK0,sK0)
| ~ line(sK0) ),
inference(duplicate_literal_removal,[],[f57]) ).
fof(f61,plain,
~ line(sK0),
inference(forward_subsumption_resolution,[],[f59,f50]) ).
fof(f62,plain,
$false,
inference(forward_subsumption_resolution,[],[f61,f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO232+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n003.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 07:49:11 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 2.54/1.31 % (174624)Detected formulas, will run a generic FOF schedule.
% 2.54/1.31 % (174633)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2777413152:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.54/1.31 % (174633)First to succeed.
% 2.54/1.31 % (174633)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-174624"
% 2.54/1.31 % (174631)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=3093206769:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.54/1.31 % (174630)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=3466837289:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.54/1.31 % (174629)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=3254376861:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.54/1.31 % (174632)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3962501161:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.54/1.31 % (174635)dis-21_1_sil=8000:lcm=predicate:random_seed=4110489730: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)
% 2.54/1.31 % (174634)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4078935406:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.54/1.31 % (174632)Also succeeded, but the first one will report.
% 2.54/1.31 % (174635)Also succeeded, but the first one will report.
% 2.54/1.31 % (174634)Also succeeded, but the first one will report.
% 2.54/1.31 % (174633)Refutation found. Thanks to Tanya!
% 2.54/1.31 % SZS status Theorem for theBenchmark
% 2.54/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 2.54/1.31 % (174633)------------------------------
% 2.54/1.31 % (174633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.31 % (174633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.31 % (174633)CaDiCaL version: 2.1.3
% 2.54/1.31 % (174633)Termination reason: Refutation
% 2.54/1.31 % (174633)Time elapsed: 0.001 s
% 2.54/1.31 % (174633)Peak memory usage: 88 MB
% 2.54/1.31 % (174633)Instructions burned: 1 (million)
% 2.54/1.31 % (174633)------------------------------
% 2.54/1.31 % (174633)------------------------------
% 2.54/1.31 % (174624)Success in time 0.274 s
% 2.54/1.31 % Vampire exiting
%------------------------------------------------------------------------------