%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO200+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 09:53:58 AM UTC 2026
% Result : Theorem 0.15s 0.50s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 60 ( 14 unt; 4 def)
% Number of atoms : 149 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 141 ( 52 ~; 73 |; 6 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 60 ( 0 sgn 58 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart1) ).
fof(f4,axiom,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( distinct_points(X0,X2)
| distinct_points(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart4) ).
fof(f7,axiom,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> ( distinct_points(X2,X0)
& distinct_points(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',con1) ).
fof(f9,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/GEO008+0.ax',cu1) ).
fof(f13,conjecture,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ distinct_lines(line_connecting(X0,X1),line_connecting(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f14,negated_conjecture,
~ ! [X0,X1] :
( distinct_points(X0,X1)
=> ~ distinct_lines(line_connecting(X0,X1),line_connecting(X1,X0)) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f15,plain,
! [X0,X1,X2] :
( distinct_points(X0,X2)
| distinct_points(X1,X2)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f16,plain,
! [X0,X1,X2] :
( distinct_points(X0,X2)
| distinct_points(X1,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f15]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ( distinct_points(X2,X0)
& distinct_points(X2,X1) )
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ( distinct_points(X2,X0)
& distinct_points(X2,X1) )
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f21]) ).
fof(f25,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,[],[f9]) ).
fof(f26,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,[],[f25]) ).
fof(f32,plain,
? [X0,X1] :
( distinct_lines(line_connecting(X0,X1),line_connecting(X1,X0))
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f33,plain,
( distinct_lines(line_connecting(sK0,sK1),line_connecting(sK1,sK0))
& distinct_points(sK0,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f32]) ).
fof(f34,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ~ distinct_points(X0,X1)
| distinct_points(X1,X2)
| distinct_points(X0,X2) ),
inference(cnf_transformation,[],[f16]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X1)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X0)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f44,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,[],[f26]) ).
fof(f48,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f33]) ).
fof(f49,plain,
distinct_lines(line_connecting(sK0,sK1),line_connecting(sK1,sK0)),
inference(cnf_transformation,[],[f33]) ).
fof(f50,plain,
! [X0] :
( distinct_points(sK1,X0)
| distinct_points(sK0,X0) ),
inference(resolution,[],[f37,f48]) ).
fof(f53,plain,
! [X0,X1] :
( distinct_points(sK0,X0)
| distinct_points(X0,X1)
| distinct_points(sK1,X1) ),
inference(resolution,[],[f50,f37]) ).
fof(f57,plain,
! [X0] :
( distinct_points(sK0,X0)
| distinct_points(X0,sK1) ),
inference(resolution,[],[f53,f34]) ).
fof(f60,plain,
! [X0,X1] :
( distinct_points(X0,sK1)
| distinct_points(X0,X1)
| distinct_points(sK0,X1) ),
inference(resolution,[],[f57,f37]) ).
fof(f67,plain,
! [X0] :
( distinct_points(X0,sK1)
| distinct_points(X0,sK0) ),
inference(resolution,[],[f60,f34]) ).
fof(f92,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| apart_point_and_line(X1,line_connecting(sK0,sK1))
| apart_point_and_line(X1,line_connecting(sK1,sK0))
| apart_point_and_line(X0,line_connecting(sK1,sK0))
| apart_point_and_line(X0,line_connecting(sK0,sK1)) ),
inference(resolution,[],[f44,f49]) ).
fof(f115,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| apart_point_and_line(sK1,line_connecting(sK1,sK0))
| apart_point_and_line(sK0,line_connecting(sK1,sK0))
| apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
inference(resolution,[],[f92,f48]) ).
fof(f145,definition,
( spl2_2
<=> apart_point_and_line(sK1,line_connecting(sK1,sK0)) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f147,plain,
( apart_point_and_line(sK1,line_connecting(sK1,sK0))
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f149,definition,
( spl2_3
<=> apart_point_and_line(sK1,line_connecting(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f151,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f165,definition,
( spl2_7
<=> apart_point_and_line(sK0,line_connecting(sK1,sK0)) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
fof(f167,plain,
( apart_point_and_line(sK0,line_connecting(sK1,sK0))
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f169,definition,
( spl2_8
<=> apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
fof(f171,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f216,plain,
( spl2_8
| spl2_7
| spl2_2
| spl2_3 ),
inference(avatar_split_clause,[],[f115,f149,f145,f165,f169]) ).
fof(f217,plain,
( distinct_points(sK1,sK1)
| ~ distinct_points(sK1,sK0)
| ~ spl2_2 ),
inference(resolution,[],[f147,f41]) ).
fof(f221,plain,
( distinct_points(sK1,sK1)
| ~ spl2_2 ),
inference(forward_subsumption_resolution,[],[f217,f67]) ).
fof(f222,plain,
( $false
| ~ spl2_2 ),
inference(forward_subsumption_resolution,[],[f221,f34]) ).
fof(f223,plain,
~ spl2_2,
inference(avatar_contradiction_clause,[],[f222]) ).
fof(f225,plain,
( distinct_points(sK1,sK1)
| ~ distinct_points(sK0,sK1)
| ~ spl2_3 ),
inference(resolution,[],[f151,f40]) ).
fof(f228,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl2_3 ),
inference(forward_subsumption_resolution,[],[f225,f34]) ).
fof(f229,plain,
( $false
| ~ spl2_3 ),
inference(forward_subsumption_resolution,[],[f228,f48]) ).
fof(f230,plain,
~ spl2_3,
inference(avatar_contradiction_clause,[],[f229]) ).
fof(f232,plain,
( distinct_points(sK0,sK0)
| ~ distinct_points(sK1,sK0)
| ~ spl2_7 ),
inference(resolution,[],[f167,f40]) ).
fof(f237,plain,
( distinct_points(sK0,sK0)
| ~ spl2_7 ),
inference(forward_subsumption_resolution,[],[f232,f50]) ).
fof(f238,plain,
( $false
| ~ spl2_7 ),
inference(forward_subsumption_resolution,[],[f237,f34]) ).
fof(f239,plain,
~ spl2_7,
inference(avatar_contradiction_clause,[],[f238]) ).
fof(f296,plain,
( distinct_points(sK0,sK0)
| ~ distinct_points(sK0,sK1)
| ~ spl2_8 ),
inference(resolution,[],[f171,f41]) ).
fof(f302,plain,
( distinct_points(sK0,sK0)
| ~ spl2_8 ),
inference(forward_subsumption_resolution,[],[f296,f57]) ).
fof(f303,plain,
( $false
| ~ spl2_8 ),
inference(forward_subsumption_resolution,[],[f302,f34]) ).
fof(f304,plain,
~ spl2_8,
inference(avatar_contradiction_clause,[],[f303]) ).
cnf(s24,plain,
( spl2_2
| spl2_3
| spl2_7
| spl2_8 ),
inference(sat_conversion,[],[f216]) ).
cnf(s25,plain,
~ spl2_2,
inference(sat_conversion,[],[f223]) ).
cnf(s26,plain,
~ spl2_3,
inference(sat_conversion,[],[f230]) ).
cnf(s27,plain,
~ spl2_7,
inference(sat_conversion,[],[f239]) ).
cnf(s28,plain,
~ spl2_8,
inference(sat_conversion,[],[f304]) ).
cnf(s29,plain,
$false,
inference(rat,[],[s24,s28,s27,s26,s25]) ).
fof(f305,plain,
$false,
inference(avatar_sat_refutation,[],[s29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO200+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 % Computer : n003.cluster.edu
% 0.11/0.41 % Model : x86_64 x86_64
% 0.11/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.41 % Memory : 8046.5625MB
% 0.11/0.41 % OS : Linux 6.8.0-71-generic
% 0.11/0.41 % CPULimit : 300
% 0.11/0.41 % WCLimit : 300
% 0.11/0.41 % DateTime : Sun Sep 27 07:36:25 UTC 2026
% 0.11/0.42 % CPUTime :
% 0.11/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.44 Running first-order model finding
% 0.11/0.44 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
% 0.15/0.50 % (167706)Will run a generic schedule for satisfiability detection.
% 0.15/0.50 % (167713)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3233162341:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.50 % (167712)% WARNING: option uhcvi not known.
% 0.15/0.50 % (167711)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4236137585_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.50 % (167712)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3768466102:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.50 % (167714)dis+10_1_sil=32000:sp=arity:random_seed=1474298238:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.50 % (167717)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=298596889:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.50 % (167715)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2090911042:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.50 % (167716)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=931574859:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.50 % TRYING [1]
% 0.15/0.50 % TRYING [2]
% 0.15/0.50 % TRYING [3]
% 0.15/0.50 % TRYING [4]
% 0.15/0.50 % TRYING [5]
% 0.15/0.50 % TRYING [6]
% 0.15/0.50 % TRYING [7]
% 0.15/0.50 % TRYING [8]
% 0.15/0.50 % (167714) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-167706-167714"...
% 0.15/0.50 % TRYING [9]
% 0.15/0.50 % (167714)...printing done.
% 0.15/0.50 % (167716) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-167706-167716"...
% 0.15/0.50 % (167714)Refutation found. Thanks to Tanya!
% 0.15/0.50 % SZS status Theorem for theBenchmark
% 0.15/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.50 % (167714)------------------------------
% 0.15/0.50 % (167714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.50 % (167714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.50 % (167714)CaDiCaL version: 2.1.3
% 0.15/0.50 % (167714)Termination reason: Refutation
% 0.15/0.50 % (167714)Time elapsed: 0.007 s
% 0.15/0.50 % (167714)Peak memory usage: 12 MB
% 0.15/0.50 % (167714)Instructions burned: 9 (million)
% 0.15/0.50 % (167706)Success in time 0.048 s
% 0.15/0.50 % Vampire exiting
%------------------------------------------------------------------------------