%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO190+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 09:53:53 AM UTC 2026
% Result : Theorem 0.09s 0.43s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 71 ( 16 unt; 5 def)
% Number of atoms : 180 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 181 ( 72 ~; 78 |; 19 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 70 ( 0 sgn 64 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart1) ).
fof(f4,axiom,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( distinct_points(X0,X2)
| distinct_points(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart4) ).
fof(f7,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci1) ).
fof(f8,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci2) ).
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/sandbox2/benchmark/Axioms/GEO006+0.ax',cu1) ).
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/Axioms/GEO006+0.ax',ceq2) ).
fof(f15,conjecture,
! [X0,X1,X2] :
( ( distinct_points(X0,X1)
& distinct_points(X0,X2)
& distinct_points(X1,X2)
& ~ apart_point_and_line(X2,line_connecting(X0,X1)) )
=> ~ apart_point_and_line(X2,line_connecting(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f16,negated_conjecture,
~ ! [X0,X1,X2] :
( ( distinct_points(X0,X1)
& distinct_points(X0,X2)
& distinct_points(X1,X2)
& ~ apart_point_and_line(X2,line_connecting(X0,X1)) )
=> ~ apart_point_and_line(X2,line_connecting(X1,X0)) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
fof(f17,plain,
! [X0,X1,X2] :
( distinct_points(X0,X2)
| distinct_points(X1,X2)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f18,plain,
! [X0,X1,X2] :
( distinct_points(X0,X2)
| distinct_points(X1,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f17]) ).
fof(f23,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f24,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f27,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(f28,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,[],[f27]) ).
fof(f31,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(f32,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f31]) ).
fof(f35,plain,
? [X0,X1,X2] :
( apart_point_and_line(X2,line_connecting(X1,X0))
& distinct_points(X0,X1)
& distinct_points(X0,X2)
& distinct_points(X1,X2)
& ~ apart_point_and_line(X2,line_connecting(X0,X1)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f36,plain,
? [X0,X1,X2] :
( apart_point_and_line(X2,line_connecting(X1,X0))
& distinct_points(X0,X1)
& distinct_points(X0,X2)
& distinct_points(X1,X2)
& ~ apart_point_and_line(X2,line_connecting(X0,X1)) ),
inference(flattening,[],[f35]) ).
fof(f37,plain,
( apart_point_and_line(sK2,line_connecting(sK1,sK0))
& distinct_points(sK0,sK1)
& distinct_points(sK0,sK2)
& distinct_points(sK1,sK2)
& ~ apart_point_and_line(sK2,line_connecting(sK0,sK1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f36]) ).
fof(f38,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ distinct_points(X0,X1)
| distinct_points(X1,X2)
| distinct_points(X0,X2) ),
inference(cnf_transformation,[],[f18]) ).
fof(f44,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f45,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f48,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X2,X3)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X0,X1)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f28]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f32]) ).
fof(f52,plain,
~ apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f37]) ).
fof(f55,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f37]) ).
fof(f56,plain,
apart_point_and_line(sK2,line_connecting(sK1,sK0)),
inference(cnf_transformation,[],[f37]) ).
fof(f59,plain,
! [X0] :
( distinct_points(sK1,X0)
| distinct_points(sK0,X0) ),
inference(resolution,[],[f41,f55]) ).
fof(f67,plain,
! [X0] :
( apart_point_and_line(sK2,X0)
| distinct_lines(line_connecting(sK1,sK0),X0) ),
inference(resolution,[],[f50,f56]) ).
fof(f76,definition,
( spl3_1
<=> distinct_points(sK1,sK0) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f77,plain,
( distinct_points(sK1,sK0)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f78,plain,
( ~ distinct_points(sK1,sK0)
| spl3_1 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f85,plain,
( distinct_points(sK0,sK0)
| spl3_1 ),
inference(resolution,[],[f78,f59]) ).
fof(f86,plain,
( $false
| spl3_1 ),
inference(forward_subsumption_resolution,[],[f85,f38]) ).
fof(f87,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f86]) ).
fof(f88,plain,
distinct_lines(line_connecting(sK1,sK0),line_connecting(sK0,sK1)),
inference(resolution,[],[f67,f52]) ).
fof(f95,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| apart_point_and_line(X1,line_connecting(sK1,sK0))
| apart_point_and_line(X1,line_connecting(sK0,sK1))
| apart_point_and_line(X0,line_connecting(sK0,sK1))
| apart_point_and_line(X0,line_connecting(sK1,sK0)) ),
inference(resolution,[],[f88,f48]) ).
fof(f974,plain,
( apart_point_and_line(sK0,line_connecting(sK1,sK0))
| apart_point_and_line(sK0,line_connecting(sK0,sK1))
| apart_point_and_line(sK1,line_connecting(sK0,sK1))
| apart_point_and_line(sK1,line_connecting(sK1,sK0))
| ~ spl3_1 ),
inference(resolution,[],[f95,f77]) ).
fof(f1003,definition,
( spl3_16
<=> apart_point_and_line(sK1,line_connecting(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl3_16])],[avatar_definition]) ).
fof(f1005,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f1007,definition,
( spl3_17
<=> apart_point_and_line(sK1,line_connecting(sK1,sK0)) ),
introduced(definition,[new_symbols(definition,[spl3_17])],[avatar_definition]) ).
fof(f1009,plain,
( apart_point_and_line(sK1,line_connecting(sK1,sK0))
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f1007]) ).
fof(f1028,definition,
( spl3_22
<=> apart_point_and_line(sK0,line_connecting(sK1,sK0)) ),
introduced(definition,[new_symbols(definition,[spl3_22])],[avatar_definition]) ).
fof(f1030,plain,
( apart_point_and_line(sK0,line_connecting(sK1,sK0))
| ~ spl3_22 ),
inference(avatar_component_clause,[],[f1028]) ).
fof(f1032,definition,
( spl3_23
<=> apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl3_23])],[avatar_definition]) ).
fof(f1034,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ spl3_23 ),
inference(avatar_component_clause,[],[f1032]) ).
fof(f1045,plain,
( spl3_17
| spl3_16
| spl3_23
| spl3_22
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f974,f76,f1028,f1032,f1003,f1007]) ).
fof(f1107,plain,
( ~ distinct_points(sK1,sK0)
| ~ spl3_22 ),
inference(resolution,[],[f1030,f45]) ).
fof(f1110,plain,
( $false
| ~ spl3_1
| ~ spl3_22 ),
inference(forward_subsumption_resolution,[],[f1107,f77]) ).
fof(f1111,plain,
( ~ spl3_1
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f1110]) ).
fof(f1118,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl3_23 ),
inference(resolution,[],[f1034,f44]) ).
fof(f1121,plain,
( $false
| ~ spl3_23 ),
inference(forward_subsumption_resolution,[],[f1118,f55]) ).
fof(f1122,plain,
~ spl3_23,
inference(avatar_contradiction_clause,[],[f1121]) ).
fof(f1126,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl3_16 ),
inference(resolution,[],[f1005,f45]) ).
fof(f1129,plain,
( $false
| ~ spl3_16 ),
inference(forward_subsumption_resolution,[],[f1126,f55]) ).
fof(f1130,plain,
~ spl3_16,
inference(avatar_contradiction_clause,[],[f1129]) ).
fof(f1139,plain,
( ~ distinct_points(sK1,sK0)
| ~ spl3_17 ),
inference(resolution,[],[f1009,f44]) ).
fof(f1142,plain,
( $false
| ~ spl3_1
| ~ spl3_17 ),
inference(forward_subsumption_resolution,[],[f1139,f77]) ).
fof(f1143,plain,
( ~ spl3_1
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f1142]) ).
cnf(s2,plain,
spl3_1,
inference(sat_conversion,[],[f87]) ).
cnf(s34,plain,
( ~ spl3_1
| spl3_16
| spl3_17
| spl3_22
| spl3_23 ),
inference(sat_conversion,[],[f1045]) ).
cnf(s66,plain,
( ~ spl3_1
| ~ spl3_22 ),
inference(sat_conversion,[],[f1111]) ).
cnf(s67,plain,
~ spl3_23,
inference(sat_conversion,[],[f1122]) ).
cnf(s68,plain,
~ spl3_16,
inference(sat_conversion,[],[f1130]) ).
cnf(s69,plain,
( ~ spl3_1
| ~ spl3_17 ),
inference(sat_conversion,[],[f1143]) ).
cnf(s86,plain,
( ~ spl3_1
| spl3_17
| spl3_22 ),
inference(rat,[],[s34,s67,s68]) ).
cnf(s96,plain,
~ spl3_17,
inference(rat,[],[s69,s2]) ).
cnf(s97,plain,
~ spl3_22,
inference(rat,[],[s66,s2]) ).
cnf(s98,plain,
$false,
inference(rat,[],[s86,s97,s96,s2]) ).
fof(f1144,plain,
$false,
inference(avatar_sat_refutation,[],[s98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO190+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n015.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 07:33:15 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.39 Running first-order model finding
% 0.09/0.39 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.43 % (1319289)Will run a generic schedule for satisfiability detection.
% 0.09/0.43 % (1319299)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1416628499:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.43 % (1319295)% WARNING: option uhcvi not known.
% 0.09/0.43 % (1319295)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=526890705:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.43 % (1319294)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1708890138_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.43 % (1319298)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2838352862:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.43 % (1319300)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=300035404:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.43 % (1319296)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3360498188:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.43 % (1319297)dis+10_1_sil=32000:sp=arity:random_seed=3234846082:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.43 % TRYING [1]
% 0.09/0.43 % TRYING [2]
% 0.09/0.43 % TRYING [3]
% 0.09/0.43 % TRYING [4]
% 0.09/0.43 % TRYING [5]
% 0.09/0.43 % (1319299) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1319289-1319299"...
% 0.09/0.43 % (1319299)...printing done.
% 0.09/0.43 % (1319299)Refutation found. Thanks to Tanya!
% 0.09/0.43 % SZS status Theorem for theBenchmark
% 0.09/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.43 % (1319299)------------------------------
% 0.09/0.43 % (1319299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.43 % (1319299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.43 % (1319299)CaDiCaL version: 2.1.3
% 0.09/0.43 % (1319299)Termination reason: Refutation
% 0.09/0.43 % (1319299)Time elapsed: 0.013 s
% 0.09/0.43 % (1319299)Peak memory usage: 12 MB
% 0.09/0.43 % (1319299)Instructions burned: 39 (million)
% 0.09/0.43 % (1319289)Success in time 0.039 s
% 0.09/0.43 % Vampire exiting
%------------------------------------------------------------------------------