%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO233+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 : 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 09:52:09 AM UTC 2026
% Result : Theorem 3.57s 1.39s
% Output : Refutation 3.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 10 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 73 ( 30 ~; 34 |; 7 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 44 ( 43 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] : ~ unequally_directed_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag5) ).
fof(f11,axiom,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X1)
=> ( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag6) ).
fof(f12,axiom,
! [X0,X1,X2] :
( ( unequally_directed_lines(X0,X1)
& unequally_directed_lines(X0,reverse_line(X1)) )
=> ( ( unequally_directed_lines(X0,X2)
& unequally_directed_lines(X0,reverse_line(X2)) )
| ( unequally_directed_lines(X1,X2)
& unequally_directed_lines(X1,reverse_line(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag7) ).
fof(f32,conjecture,
! [X0] : ~ unequally_directed_lines(reverse_line(reverse_line(X0)),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f33,negated_conjecture,
~ ! [X0] : ~ unequally_directed_lines(reverse_line(reverse_line(X0)),X0),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f34,plain,
? [X0] : unequally_directed_lines(reverse_line(reverse_line(X0)),X0),
inference(ennf_transformation,[],[f33]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ( unequally_directed_lines(X0,X2)
& unequally_directed_lines(X0,reverse_line(X2)) )
| ( unequally_directed_lines(X1,X2)
& unequally_directed_lines(X1,reverse_line(X2)) )
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f12]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( unequally_directed_lines(X0,X2)
& unequally_directed_lines(X0,reverse_line(X2)) )
| ( unequally_directed_lines(X1,X2)
& unequally_directed_lines(X1,reverse_line(X2)) )
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(flattening,[],[f35]) ).
fof(f37,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f38,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f37]) ).
fof(f39,plain,
unequally_directed_lines(reverse_line(reverse_line(sK0)),sK0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f34]) ).
fof(f40,plain,
unequally_directed_lines(reverse_line(reverse_line(sK0)),sK0),
inference(cnf_transformation,[],[f39]) ).
fof(f42,plain,
! [X2,X0,X1] :
( unequally_directed_lines(X0,reverse_line(X2))
| unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[],[f36]) ).
fof(f43,plain,
! [X2,X0,X1] :
( unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[],[f36]) ).
fof(f45,plain,
! [X2,X0,X1] :
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f46,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f10]) ).
fof(f48,plain,
! [X0,X1] :
( ~ unequally_directed_lines(reverse_line(X1),reverse_line(X0))
| ~ unequally_directed_lines(reverse_line(X1),X0)
| unequally_directed_lines(X0,X1) ),
inference(resolution,[],[f42,f46]) ).
fof(f52,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(reverse_line(X1)))
| ~ unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(resolution,[],[f43,f46]) ).
fof(f57,plain,
! [X2,X0,X1] :
( unequally_directed_lines(X2,reverse_line(reverse_line(X1)))
| unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X2,X0) ),
inference(resolution,[],[f52,f45]) ).
fof(f80,plain,
! [X0,X1] :
( ~ unequally_directed_lines(reverse_line(reverse_line(X1)),X0)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(resolution,[],[f57,f46]) ).
fof(f84,plain,
( ~ unequally_directed_lines(sK0,reverse_line(sK0))
| unequally_directed_lines(sK0,sK0) ),
inference(resolution,[],[f80,f40]) ).
fof(f90,plain,
~ unequally_directed_lines(sK0,reverse_line(sK0)),
inference(forward_subsumption_resolution,[],[f84,f46]) ).
fof(f94,plain,
! [X0] :
( unequally_directed_lines(X0,reverse_line(sK0))
| ~ unequally_directed_lines(X0,sK0) ),
inference(resolution,[],[f90,f45]) ).
fof(f106,plain,
! [X0] :
( ~ unequally_directed_lines(reverse_line(X0),sK0)
| ~ unequally_directed_lines(reverse_line(X0),sK0)
| unequally_directed_lines(sK0,X0) ),
inference(resolution,[],[f94,f48]) ).
fof(f109,plain,
! [X0] :
( ~ unequally_directed_lines(reverse_line(X0),sK0)
| unequally_directed_lines(sK0,X0) ),
inference(duplicate_literal_removal,[],[f106]) ).
fof(f120,plain,
unequally_directed_lines(sK0,reverse_line(sK0)),
inference(resolution,[],[f109,f40]) ).
fof(f122,plain,
$false,
inference(forward_subsumption_resolution,[],[f120,f90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO233+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n010.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 07:47:46 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 3.57/1.39 % (617618)Detected formulas, will run a generic FOF schedule.
% 3.57/1.39 % (617623)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=1889313655:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.57/1.39 % (617624)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=1190344329:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.57/1.39 % (617625)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=875088959:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.57/1.39 % (617626)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1564936239:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.57/1.39 % (617629)dis-21_1_sil=8000:lcm=predicate:random_seed=4089200519: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)
% 3.57/1.39 % (617627)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3447848159:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.57/1.39 % (617628)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2799373706:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.57/1.39 % (617629)Also succeeded, but the first one will report.
% 3.57/1.39 % (617627)First to succeed.
% 3.57/1.39 % (617628)Also succeeded, but the first one will report.
% 3.57/1.39 % (617626)Also succeeded, but the first one will report.
% 3.57/1.39 % (617627)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-617618"
% 3.57/1.39 % (617627)Refutation found. Thanks to Tanya!
% 3.57/1.39 % SZS status Theorem for theBenchmark
% 3.57/1.39 % SZS output start Proof for theBenchmark
% See solution above
% 3.57/1.39 % (617627)------------------------------
% 3.57/1.39 % (617627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.39 % (617627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.39 % (617627)CaDiCaL version: 2.1.3
% 3.57/1.39 % (617627)Termination reason: Refutation
% 3.57/1.39 % (617627)Time elapsed: 0.004 s
% 3.57/1.39 % (617627)Peak memory usage: 88 MB
% 3.57/1.39 % (617627)Instructions burned: 4 (million)
% 3.57/1.39 % (617627)------------------------------
% 3.57/1.39 % (617627)------------------------------
% 3.57/1.39 % (617618)Success in time 0.441 s
% 3.57/1.39 % Vampire exiting
%------------------------------------------------------------------------------