%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO208+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 09:52:01 AM UTC 2026
% Result : Theorem 2.67s 1.34s
% Output : Refutation 2.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 6 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 42 ( 16 ~; 6 |; 13 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 34 ( 28 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [X0,X1] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f32,axiom,
! [X0,X1] :
( equal_lines(X0,X1)
<=> ~ distinct_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f33,axiom,
! [X0,X1] :
( parallel_lines(X0,X1)
<=> ~ convergent_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3) ).
fof(f36,conjecture,
! [X0,X1,X2] :
( ( incident_point_and_line(X0,X1)
& incident_point_and_line(X0,X2)
& parallel_lines(X1,X2) )
=> equal_lines(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X2] :
( ( incident_point_and_line(X0,X1)
& incident_point_and_line(X0,X2)
& parallel_lines(X1,X2) )
=> equal_lines(X1,X2) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f39,plain,
! [X0,X1] :
( parallel_lines(X0,X1)
=> ~ convergent_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f33]) ).
fof(f40,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
=> equal_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f32]) ).
fof(f59,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f79,plain,
! [X0,X1] :
( equal_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f40]) ).
fof(f80,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ parallel_lines(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f82,plain,
? [X0,X1,X2] :
( ~ equal_lines(X1,X2)
& incident_point_and_line(X0,X1)
& incident_point_and_line(X0,X2)
& parallel_lines(X1,X2) ),
inference(ennf_transformation,[],[f37]) ).
fof(f83,plain,
? [X0,X1,X2] :
( ~ equal_lines(X1,X2)
& incident_point_and_line(X0,X1)
& incident_point_and_line(X0,X2)
& parallel_lines(X1,X2) ),
inference(flattening,[],[f82]) ).
fof(f84,plain,
( ~ equal_lines(sK1,sK2)
& incident_point_and_line(sK0,sK1)
& incident_point_and_line(sK0,sK2)
& parallel_lines(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f83]) ).
fof(f99,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f121,plain,
! [X0,X1] :
( equal_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f122,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ parallel_lines(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f124,plain,
parallel_lines(sK1,sK2),
inference(cnf_transformation,[],[f84]) ).
fof(f127,plain,
~ equal_lines(sK1,sK2),
inference(cnf_transformation,[],[f84]) ).
fof(f128,plain,
distinct_lines(sK1,sK2),
inference(resolution,[],[f121,f127]) ).
fof(f129,plain,
convergent_lines(sK1,sK2),
inference(resolution,[],[f99,f128]) ).
fof(f130,plain,
~ parallel_lines(sK1,sK2),
inference(resolution,[],[f129,f122]) ).
fof(f131,plain,
$false,
inference(forward_subsumption_resolution,[],[f130,f124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO208+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n006.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
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 07:36:56 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 2.67/1.34 % (2659731)Detected formulas, will run a generic FOF schedule.
% 2.67/1.34 % (2659741)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1440083501:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.67/1.34 % (2659741)First to succeed.
% 2.67/1.34 % (2659741)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2659731"
% 2.67/1.34 % (2659737)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=4075320754:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.67/1.34 % (2659740)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=399204649:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.67/1.34 % (2659738)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=1542520701:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.67/1.34 % (2659739)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2177382322:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.67/1.34 % (2659736)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=2938666176:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.67/1.34 % (2659739)Refutation not found, incomplete strategy
% 2.67/1.34 % (2659739)------------------------------
% 2.67/1.34 % (2659739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.34 % (2659739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.34 % (2659739)CaDiCaL version: 2.1.3
% 2.67/1.34 % (2659739)Termination reason: Refutation not found, incomplete strategy
% 2.67/1.34 % (2659739)Time elapsed: 0.001 s
% 2.67/1.34 % (2659739)Peak memory usage: 87 MB
% 2.67/1.34 % (2659740)Also succeeded, but the first one will report.
% 2.67/1.34 % (2659742)dis-21_1_sil=8000:lcm=predicate:random_seed=1899543997: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)
% 2.67/1.34 % (2659742)Also succeeded, but the first one will report.
% 2.67/1.34 % (2659741)Refutation found. Thanks to Tanya!
% 2.67/1.34 % SZS status Theorem for theBenchmark
% 2.67/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 2.67/1.35 % (2659741)------------------------------
% 2.67/1.35 % (2659741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.35 % (2659741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.35 % (2659741)CaDiCaL version: 2.1.3
% 2.67/1.35 % (2659741)Termination reason: Refutation
% 2.67/1.35 % (2659741)Time elapsed: 0.002 s
% 2.67/1.35 % (2659741)Peak memory usage: 88 MB
% 2.67/1.35 % (2659741)Instructions burned: 2 (million)
% 2.67/1.35 % (2659741)------------------------------
% 2.67/1.35 % (2659741)------------------------------
% 2.67/1.35 % (2659731)Success in time 0.296 s
% 2.67/1.35 % Vampire exiting
%------------------------------------------------------------------------------