%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO172+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 09:53:47 AM UTC 2026
% Result : Theorem 0.17s 0.48s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 53 ( 14 unt; 0 def)
% Number of atoms : 139 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 143 ( 57 ~; 65 |; 11 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 101 ( 95 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart3) ).
fof(f9,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci3) ).
fof(f10,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci4) ).
fof(f11,axiom,
! [X0,X1,X2,X3] :
( ( distinct_points(X0,X1)
& distinct_lines(X2,X3) )
=> ( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',cu1) ).
fof(f14,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ceq3) ).
fof(f31,axiom,
! [X0,X1] :
( equal_points(X0,X1)
<=> ~ distinct_points(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',ax1) ).
fof(f34,axiom,
! [X0,X1] :
( incident_point_and_line(X0,X1)
<=> ~ apart_point_and_line(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',a4) ).
fof(f36,conjecture,
! [X0,X1,X2] :
( ( convergent_lines(X0,X1)
& incident_point_and_line(X2,X0)
& incident_point_and_line(X2,X1) )
=> equal_points(X2,intersection_point(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X2] :
( ( convergent_lines(X0,X1)
& incident_point_and_line(X2,X0)
& incident_point_and_line(X2,X1) )
=> equal_points(X2,intersection_point(X0,X1)) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f38,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
=> ~ apart_point_and_line(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f34]) ).
fof(f39,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
=> equal_points(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f31]) ).
fof(f48,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f49,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f50,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X0,X1)
| ~ distinct_lines(X2,X3) ),
inference(ennf_transformation,[],[f11]) ).
fof(f51,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X0,X1)
| ~ distinct_lines(X2,X3) ),
inference(flattening,[],[f50]) ).
fof(f56,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f57,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f56]) ).
fof(f78,plain,
! [X0,X1] :
( equal_points(X0,X1)
| distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f79,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
| ~ incident_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f80,plain,
? [X0,X1,X2] :
( ~ equal_points(X2,intersection_point(X0,X1))
& convergent_lines(X0,X1)
& incident_point_and_line(X2,X0)
& incident_point_and_line(X2,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f81,plain,
? [X0,X1,X2] :
( ~ equal_points(X2,intersection_point(X0,X1))
& convergent_lines(X0,X1)
& incident_point_and_line(X2,X0)
& incident_point_and_line(X2,X1) ),
inference(flattening,[],[f80]) ).
fof(f84,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f90,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f91,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f92,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f51]) ).
fof(f95,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f57]) ).
fof(f118,plain,
! [X0,X1] :
( distinct_points(X0,X1)
| equal_points(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f119,plain,
! [X0,X1] :
( ~ incident_point_and_line(X0,X1)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f120,plain,
incident_point_and_line(sK2,sK1),
inference(cnf_transformation,[],[f81]) ).
fof(f121,plain,
incident_point_and_line(sK2,sK0),
inference(cnf_transformation,[],[f81]) ).
fof(f122,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f81]) ).
fof(f123,plain,
~ equal_points(sK2,intersection_point(sK0,sK1)),
inference(cnf_transformation,[],[f81]) ).
fof(f126,plain,
! [X0] : convergent_lines(X0,X0),
inference(consistent_polarity_flipping,[],[f84]) ).
fof(f132,plain,
! [X0,X1] :
( apart_point_and_line(intersection_point(X0,X1),X0)
| convergent_lines(X0,X1) ),
inference(consistent_polarity_flipping,[],[f90]) ).
fof(f133,plain,
! [X0,X1] :
( apart_point_and_line(intersection_point(X0,X1),X1)
| convergent_lines(X0,X1) ),
inference(consistent_polarity_flipping,[],[f91]) ).
fof(f134,plain,
! [X2,X3,X0,X1] :
( ~ apart_point_and_line(X1,X3)
| distinct_points(X0,X1)
| distinct_lines(X2,X3)
| ~ apart_point_and_line(X1,X2)
| ~ apart_point_and_line(X0,X3)
| ~ apart_point_and_line(X0,X2) ),
inference(consistent_polarity_flipping,[],[f92]) ).
fof(f137,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X2)
| convergent_lines(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(consistent_polarity_flipping,[],[f95]) ).
fof(f160,plain,
! [X0,X1] :
( ~ equal_points(X0,X1)
| ~ distinct_points(X0,X1) ),
inference(consistent_polarity_flipping,[],[f118]) ).
fof(f161,plain,
! [X0,X1] :
( ~ incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(consistent_polarity_flipping,[],[f119]) ).
fof(f162,plain,
equal_points(sK2,intersection_point(sK0,sK1)),
inference(consistent_polarity_flipping,[],[f123]) ).
fof(f163,plain,
~ convergent_lines(sK0,sK1),
inference(consistent_polarity_flipping,[],[f122]) ).
fof(f167,plain,
~ distinct_points(sK2,intersection_point(sK0,sK1)),
inference(resolution,[],[f160,f162]) ).
fof(f168,plain,
apart_point_and_line(sK2,sK1),
inference(resolution,[],[f161,f120]) ).
fof(f169,plain,
apart_point_and_line(sK2,sK0),
inference(resolution,[],[f161,f121]) ).
fof(f186,plain,
! [X0,X1] :
( ~ distinct_lines(X1,X0)
| convergent_lines(X0,X1) ),
inference(resolution,[],[f137,f126]) ).
fof(f230,plain,
! [X2,X3,X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X2),X3)
| distinct_lines(X3,X1)
| distinct_points(X0,intersection_point(X1,X2))
| ~ apart_point_and_line(X0,X1)
| ~ apart_point_and_line(X0,X3)
| convergent_lines(X1,X2) ),
inference(resolution,[],[f134,f132]) ).
fof(f302,plain,
! [X2,X0,X1] :
( distinct_lines(X0,X1)
| distinct_points(X2,intersection_point(X1,X0))
| ~ apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X2,X0)
| convergent_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(resolution,[],[f230,f133]) ).
fof(f307,plain,
! [X2,X0,X1] :
( distinct_lines(X0,X1)
| distinct_points(X2,intersection_point(X1,X0))
| ~ apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X2,X0)
| convergent_lines(X1,X0) ),
inference(duplicate_literal_removal,[],[f302]) ).
fof(f309,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X1,X0))
| ~ apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X2,X0)
| convergent_lines(X1,X0) ),
inference(forward_subsumption_resolution,[],[f307,f186]) ).
fof(f443,plain,
( ~ apart_point_and_line(sK2,sK0)
| ~ apart_point_and_line(sK2,sK1)
| convergent_lines(sK0,sK1) ),
inference(resolution,[],[f309,f167]) ).
fof(f447,plain,
( ~ apart_point_and_line(sK2,sK1)
| convergent_lines(sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f443,f169]) ).
fof(f448,plain,
convergent_lines(sK0,sK1),
inference(forward_subsumption_resolution,[],[f447,f168]) ).
fof(f449,plain,
$false,
inference(forward_subsumption_resolution,[],[f448,f163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO172+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n018.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 07:24:39 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.48 % (1989418)Will run a generic schedule for satisfiability detection.
% 0.17/0.48 % (1989425)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=109371094:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.48 % (1989424)% WARNING: option uhcvi not known.
% 0.17/0.48 % (1989423)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=500536761_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.48 % (1989424)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1888035595:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.48 % (1989426)dis+10_1_sil=32000:sp=arity:random_seed=731856833:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.48 % (1989427)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4167843922:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.48 % (1989428)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2203913469:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.48 % (1989429)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1387735041:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.48 % TRYING [1]
% 0.17/0.48 % TRYING [2]
% 0.17/0.48 % TRYING [3]
% 0.17/0.48 % TRYING [4]
% 0.17/0.48 % TRYING [5]
% 0.17/0.48 % (1989424) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1989418-1989424"...
% 0.17/0.48 % (1989424)...printing done.
% 0.17/0.48 % (1989424)Refutation found. Thanks to Tanya!
% 0.17/0.48 % SZS status Theorem for theBenchmark
% 0.17/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.48 % (1989424)------------------------------
% 0.17/0.48 % (1989424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.48 % (1989424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.48 % (1989424)CaDiCaL version: 2.1.3
% 0.17/0.48 % (1989424)Termination reason: Refutation
% 0.17/0.48 % (1989424)Time elapsed: 0.010 s
% 0.17/0.48 % (1989424)Peak memory usage: 11 MB
% 0.17/0.48 % (1989424)Instructions burned: 13 (million)
% 0.17/0.48 % (1989418)Success in time 0.046 s
% 0.17/0.48 % Vampire exiting
%------------------------------------------------------------------------------