%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO232+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 3.59s 1.47s
% Output : Refutation 3.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 12 ~; 17 |; 0 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 37 ( 36 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( unequally_directed_opposite_lines(X0,X1)
<=> unequally_directed_lines(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_defns) ).
fof(f16,axiom,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X1)
=> ( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6_basics) ).
fof(f18,axiom,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8_basics) ).
fof(f37,conjecture,
! [X0] : unequally_directed_opposite_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f38,negated_conjecture,
~ ! [X0] : unequally_directed_opposite_lines(X0,X0),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f39,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
=> unequally_directed_opposite_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f40,plain,
? [X0] : ~ unequally_directed_opposite_lines(X0,X0),
inference(ennf_transformation,[],[f38]) ).
fof(f41,plain,
! [X0,X1] :
( unequally_directed_opposite_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f39]) ).
fof(f44,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f45,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f44]) ).
fof(f46,plain,
~ unequally_directed_opposite_lines(sK0,sK0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f40]) ).
fof(f47,plain,
~ unequally_directed_opposite_lines(sK0,sK0),
inference(cnf_transformation,[],[f46]) ).
fof(f48,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f49,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f54,plain,
! [X2,X0,X1] :
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f55,plain,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| unequally_directed_opposite_lines(X0,X1) ),
inference(resolution,[],[f49,f48]) ).
fof(f56,plain,
! [X2,X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X2)
| unequally_directed_opposite_lines(X2,X1) ),
inference(resolution,[],[f54,f48]) ).
fof(f58,plain,
! [X2,X0,X1] :
( unequally_directed_opposite_lines(X1,X2)
| ~ unequally_directed_lines(X0,X1)
| unequally_directed_opposite_lines(X0,X2) ),
inference(resolution,[],[f56,f48]) ).
fof(f60,plain,
! [X0] :
( ~ unequally_directed_lines(X0,sK0)
| unequally_directed_opposite_lines(X0,sK0) ),
inference(resolution,[],[f58,f47]) ).
fof(f61,plain,
! [X0] : unequally_directed_opposite_lines(X0,sK0),
inference(forward_subsumption_resolution,[],[f60,f55]) ).
fof(f62,plain,
$false,
inference(resolution,[],[f61,f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO232+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n009.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 07:47:45 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 3.59/1.47 % (1701178)Detected formulas, will run a generic FOF schedule.
% 3.59/1.47 % (1701183)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=3620864334:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.59/1.47 % (1701189)dis-21_1_sil=8000:lcm=predicate:random_seed=109753986: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)
% 3.59/1.47 % (1701186)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=493213594:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.59/1.47 % (1701184)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=1444274501:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.59/1.47 % (1701185)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=1131201367:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.59/1.47 % (1701187)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1798893346:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.59/1.47 % (1701186)Refutation not found, incomplete strategy
% 3.59/1.47 % (1701186)------------------------------
% 3.59/1.47 % (1701186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.47 % (1701186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.47 % (1701186)CaDiCaL version: 2.1.3
% 3.59/1.47 % (1701186)Termination reason: Refutation not found, incomplete strategy
% 3.59/1.47 % (1701186)Time elapsed: 0.001 s
% 3.59/1.47 % (1701186)Peak memory usage: 86 MB
% 3.59/1.47 % (1701187)First to succeed.
% 3.59/1.47 % (1701189)Also succeeded, but the first one will report.
% 3.59/1.47 % (1701187)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1701178"
% 3.59/1.47 % (1701188)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2746311948:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.59/1.47 % (1701188)Also succeeded, but the first one will report.
% 3.59/1.47 % (1701186)------------------------------
% 3.59/1.47 % (1701186)------------------------------
% 3.59/1.47 % (1701187)Refutation found. Thanks to Tanya!
% 3.59/1.47 % SZS status Theorem for theBenchmark
% 3.59/1.47 % SZS output start Proof for theBenchmark
% See solution above
% 3.59/1.47 % (1701187)------------------------------
% 3.59/1.47 % (1701187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.47 % (1701187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.47 % (1701187)CaDiCaL version: 2.1.3
% 3.59/1.47 % (1701187)Termination reason: Refutation
% 3.59/1.47 % (1701187)Time elapsed: 0.002 s
% 3.59/1.47 % (1701187)Peak memory usage: 88 MB
% 3.59/1.47 % (1701187)Instructions burned: 1 (million)
% 3.59/1.47 % (1701187)------------------------------
% 3.59/1.47 % (1701187)------------------------------
% 3.59/1.47 % (1701178)Success in time 0.428 s
% 3.59/1.47 % Vampire exiting
%------------------------------------------------------------------------------