%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO183+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 : 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 09:51:51 AM UTC 2026
% Result : Theorem 2.70s 1.34s
% Output : Refutation 2.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 48 ( 13 unt; 2 def)
% Number of atoms : 102 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 96 ( 42 ~; 28 |; 15 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 57 ( 0 sgn 49 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci1) ).
fof(f8,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci2) ).
fof(f13,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq2) ).
fof(f32,axiom,
! [X0,X1] :
( equal_lines(X0,X1)
<=> ~ distinct_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f34,axiom,
! [X0,X1] :
( incident_point_and_line(X0,X1)
<=> ~ apart_point_and_line(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4) ).
fof(f36,conjecture,
! [X0,X1,X2,X3] :
( ( distinct_points(X0,X1)
& convergent_lines(X2,X3)
& equal_lines(X2,line_connecting(X0,X1)) )
=> ( incident_point_and_line(X0,X2)
& incident_point_and_line(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( distinct_points(X0,X1)
& convergent_lines(X2,X3)
& equal_lines(X2,line_connecting(X0,X1)) )
=> ( incident_point_and_line(X0,X2)
& incident_point_and_line(X1,X2) ) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f38,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
=> incident_point_and_line(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f34]) ).
fof(f39,plain,
! [X0,X1] :
( equal_lines(X0,X1)
=> ~ distinct_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f32]) ).
fof(f40,plain,
? [X0,X1,X2,X3] :
( ( ~ incident_point_and_line(X0,X2)
| ~ incident_point_and_line(X1,X2) )
& distinct_points(X0,X1)
& convergent_lines(X2,X3)
& equal_lines(X2,line_connecting(X0,X1)) ),
inference(ennf_transformation,[],[f37]) ).
fof(f41,plain,
? [X0,X1,X2,X3] :
( ( ~ incident_point_and_line(X0,X2)
| ~ incident_point_and_line(X1,X2) )
& distinct_points(X0,X1)
& convergent_lines(X2,X3)
& equal_lines(X2,line_connecting(X0,X1)) ),
inference(flattening,[],[f40]) ).
fof(f44,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f45,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f66,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| ~ equal_lines(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f67,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f76,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f77,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f76]) ).
fof(f82,plain,
( ( ~ incident_point_and_line(sK0,sK2)
| ~ incident_point_and_line(sK1,sK2) )
& distinct_points(sK0,sK1)
& convergent_lines(sK2,sK3)
& equal_lines(sK2,line_connecting(sK0,sK1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f41]) ).
fof(f83,plain,
equal_lines(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f82]) ).
fof(f85,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f82]) ).
fof(f86,plain,
( ~ incident_point_and_line(sK0,sK2)
| ~ incident_point_and_line(sK1,sK2) ),
inference(cnf_transformation,[],[f82]) ).
fof(f88,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f89,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f110,plain,
! [X0,X1] :
( ~ equal_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f111,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f118,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f126,definition,
( spl4_1
<=> incident_point_and_line(sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f127,plain,
( ~ incident_point_and_line(sK1,sK2)
| spl4_1 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f129,definition,
( spl4_2
<=> incident_point_and_line(sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f130,plain,
( ~ incident_point_and_line(sK0,sK2)
| spl4_2 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f131,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f86,f129,f126]) ).
fof(f133,plain,
~ distinct_lines(sK2,line_connecting(sK0,sK1)),
inference(resolution,[],[f110,f83]) ).
fof(f134,plain,
( apart_point_and_line(sK1,sK2)
| spl4_1 ),
inference(resolution,[],[f111,f127]) ).
fof(f135,plain,
~ apart_point_and_line(sK1,line_connecting(sK0,sK1)),
inference(resolution,[],[f88,f85]) ).
fof(f136,plain,
~ apart_point_and_line(sK0,line_connecting(sK0,sK1)),
inference(resolution,[],[f89,f85]) ).
fof(f155,plain,
! [X0] :
( apart_point_and_line(X0,line_connecting(sK0,sK1))
| ~ apart_point_and_line(X0,sK2) ),
inference(resolution,[],[f118,f133]) ).
fof(f162,plain,
~ apart_point_and_line(sK0,sK2),
inference(resolution,[],[f155,f136]) ).
fof(f163,plain,
~ apart_point_and_line(sK1,sK2),
inference(resolution,[],[f155,f135]) ).
fof(f166,plain,
( $false
| spl4_1 ),
inference(resolution,[],[f163,f134]) ).
fof(f167,plain,
spl4_1,
inference(avatar_contradiction_clause,[],[f166]) ).
fof(f168,plain,
( apart_point_and_line(sK0,sK2)
| spl4_2 ),
inference(resolution,[],[f130,f111]) ).
fof(f169,plain,
( $false
| spl4_2 ),
inference(resolution,[],[f168,f162]) ).
fof(f170,plain,
spl4_2,
inference(avatar_contradiction_clause,[],[f169]) ).
cnf(s1,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(sat_conversion,[],[f131]) ).
cnf(s2,plain,
spl4_1,
inference(sat_conversion,[],[f167]) ).
cnf(s3,plain,
spl4_2,
inference(sat_conversion,[],[f170]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f171,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO183+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n010.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 07:27:46 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 2.70/1.34 % (609809)Detected formulas, will run a generic FOF schedule.
% 2.70/1.34 % (609820)dis-21_1_sil=8000:lcm=predicate:random_seed=965005069: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)
% 2.70/1.34 % (609820)First to succeed.
% 2.70/1.34 % (609820)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-609809"
% 2.70/1.34 % (609815)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=1638006588:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.70/1.34 % (609814)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=694272373:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.70/1.34 % (609816)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=1815595158:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.70/1.34 % (609818)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3190073024:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.70/1.34 % (609819)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2387620666:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.70/1.34 % (609817)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2584846882:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.70/1.34 % (609818)Also succeeded, but the first one will report.
% 2.70/1.34 % (609819)Also succeeded, but the first one will report.
% 2.70/1.34 % (609817)Instruction limit reached!
% 2.70/1.34 % (609817)------------------------------
% 2.70/1.34 % (609817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.34 % (609817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.34 % (609817)CaDiCaL version: 2.1.3
% 2.70/1.34 % (609817)Termination reason: Instruction limit
% 2.70/1.34 % (609817)Termination phase: Saturation
% 2.70/1.34 % (609817)Time elapsed: 0.050 s
% 2.70/1.34 % (609817)Peak memory usage: 88 MB
% 2.70/1.34 % (609817)Instructions burned: 111 (million)
% 2.70/1.34 % (609820)Refutation found. Thanks to Tanya!
% 2.70/1.34 % SZS status Theorem for theBenchmark
% 2.70/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 2.70/1.34 % (609820)------------------------------
% 2.70/1.34 % (609820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.34 % (609820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.34 % (609820)CaDiCaL version: 2.1.3
% 2.70/1.34 % (609820)Termination reason: Refutation
% 2.70/1.34 % (609820)Time elapsed: 0.002 s
% 2.70/1.35 % (609820)Peak memory usage: 89 MB
% 2.70/1.35 % (609820)Instructions burned: 3 (million)
% 2.70/1.35 % (609820)------------------------------
% 2.70/1.35 % (609820)------------------------------
% 2.70/1.35 % (609809)Success in time 0.298 s
% 2.70/1.35 % Vampire exiting
%------------------------------------------------------------------------------