%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO200+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 0.06s 0.36s
% Output : Refutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 63 ( 16 unt; 4 def)
% Number of atoms : 141 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 130 ( 52 ~; 63 |; 3 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 65 ( 0 sgn 63 !; 2 ?)
% 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(f32,axiom,
! [X0,X1] :
( equal_lines(X0,X1)
<=> ~ distinct_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',ax2) ).
fof(f36,conjecture,
! [X0,X1] :
( distinct_points(X0,X1)
=> equal_lines(line_connecting(X0,X1),line_connecting(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f37,negated_conjecture,
~ ! [X0,X1] :
( distinct_points(X0,X1)
=> equal_lines(line_connecting(X0,X1),line_connecting(X1,X0)) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f38,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
=> equal_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f32]) ).
fof(f39,plain,
! [X0,X1,X2] :
( distinct_points(X0,X2)
| distinct_points(X1,X2)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f40,plain,
! [X0,X1,X2] :
( distinct_points(X0,X2)
| distinct_points(X1,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f39]) ).
fof(f45,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f46,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f49,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(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(flattening,[],[f49]) ).
fof(f77,plain,
! [X0,X1] :
( equal_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f78,plain,
? [X0,X1] :
( ~ equal_lines(line_connecting(X0,X1),line_connecting(X1,X0))
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f79,plain,
( ~ equal_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)],[f78]) ).
fof(f80,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f83,plain,
! [X2,X0,X1] :
( ~ distinct_points(X0,X1)
| distinct_points(X1,X2)
| distinct_points(X0,X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f86,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f87,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f90,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,[],[f50]) ).
fof(f116,plain,
! [X0,X1] :
( equal_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f117,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f79]) ).
fof(f118,plain,
~ equal_lines(line_connecting(sK0,sK1),line_connecting(sK1,sK0)),
inference(cnf_transformation,[],[f79]) ).
fof(f120,plain,
distinct_lines(line_connecting(sK0,sK1),line_connecting(sK1,sK0)),
inference(resolution,[],[f116,f118]) ).
fof(f122,plain,
! [X0] :
( distinct_points(sK1,X0)
| distinct_points(sK0,X0) ),
inference(resolution,[],[f83,f117]) ).
fof(f125,plain,
! [X0,X1] :
( distinct_points(sK0,X0)
| distinct_points(X0,X1)
| distinct_points(sK1,X1) ),
inference(resolution,[],[f122,f83]) ).
fof(f131,plain,
! [X0] :
( distinct_points(sK0,X0)
| distinct_points(X0,sK1) ),
inference(resolution,[],[f125,f80]) ).
fof(f134,plain,
! [X0,X1] :
( distinct_points(X0,sK1)
| distinct_points(X0,X1)
| distinct_points(sK0,X1) ),
inference(resolution,[],[f131,f83]) ).
fof(f141,plain,
! [X0] :
( distinct_points(X0,sK1)
| distinct_points(X0,sK0) ),
inference(resolution,[],[f134,f80]) ).
fof(f149,plain,
distinct_points(sK1,sK0),
inference(resolution,[],[f141,f80]) ).
fof(f231,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,[],[f90,f120]) ).
fof(f239,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,[],[f231,f117]) ).
fof(f263,definition,
( spl2_4
<=> apart_point_and_line(sK0,line_connecting(sK1,sK0)) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
fof(f265,plain,
( apart_point_and_line(sK0,line_connecting(sK1,sK0))
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f267,definition,
( spl2_5
<=> apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
fof(f269,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f279,definition,
( spl2_8
<=> apart_point_and_line(sK1,line_connecting(sK1,sK0)) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
fof(f281,plain,
( apart_point_and_line(sK1,line_connecting(sK1,sK0))
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f283,definition,
( spl2_9
<=> apart_point_and_line(sK1,line_connecting(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
fof(f285,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f324,plain,
( spl2_5
| spl2_4
| spl2_8
| spl2_9 ),
inference(avatar_split_clause,[],[f239,f283,f279,f263,f267]) ).
fof(f325,plain,
( ~ distinct_points(sK1,sK0)
| ~ spl2_8 ),
inference(resolution,[],[f281,f86]) ).
fof(f328,plain,
( $false
| ~ spl2_8 ),
inference(forward_subsumption_resolution,[],[f325,f149]) ).
fof(f329,plain,
~ spl2_8,
inference(avatar_contradiction_clause,[],[f328]) ).
fof(f338,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl2_9 ),
inference(resolution,[],[f285,f87]) ).
fof(f341,plain,
( $false
| ~ spl2_9 ),
inference(forward_subsumption_resolution,[],[f338,f117]) ).
fof(f342,plain,
~ spl2_9,
inference(avatar_contradiction_clause,[],[f341]) ).
fof(f374,plain,
( ~ distinct_points(sK1,sK0)
| ~ spl2_4 ),
inference(resolution,[],[f265,f87]) ).
fof(f377,plain,
( $false
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f374,f149]) ).
fof(f378,plain,
~ spl2_4,
inference(avatar_contradiction_clause,[],[f377]) ).
fof(f425,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl2_5 ),
inference(resolution,[],[f269,f86]) ).
fof(f428,plain,
( $false
| ~ spl2_5 ),
inference(forward_subsumption_resolution,[],[f425,f117]) ).
fof(f429,plain,
~ spl2_5,
inference(avatar_contradiction_clause,[],[f428]) ).
cnf(s23,plain,
( spl2_4
| spl2_5
| spl2_8
| spl2_9 ),
inference(sat_conversion,[],[f324]) ).
cnf(s24,plain,
~ spl2_8,
inference(sat_conversion,[],[f329]) ).
cnf(s25,plain,
~ spl2_9,
inference(sat_conversion,[],[f342]) ).
cnf(s29,plain,
~ spl2_4,
inference(sat_conversion,[],[f378]) ).
cnf(s36,plain,
~ spl2_5,
inference(sat_conversion,[],[f429]) ).
cnf(s42,plain,
$false,
inference(rat,[],[s23,s25,s24,s36,s29]) ).
fof(f430,plain,
$false,
inference(avatar_sat_refutation,[],[s42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO200+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 07:34:31 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.32 Running first-order model finding
% 0.06/0.32 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
% 0.06/0.36 % (2038809)Will run a generic schedule for satisfiability detection.
% 0.06/0.36 % (2038815)% WARNING: option uhcvi not known.
% 0.06/0.36 % (2038819)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2512176324:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.06/0.36 % (2038814)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1376867760_2999 on theBenchmark for (2999ds/0Mi)
% 0.06/0.36 % (2038815)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3557902996:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.06/0.36 % (2038816)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=951957728:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.06/0.36 % (2038817)dis+10_1_sil=32000:sp=arity:random_seed=1650094753:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.06/0.36 % (2038818)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3977647916:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.06/0.36 % (2038820)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2078133486:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.06/0.36 % TRYING [1]
% 0.06/0.36 % TRYING [2]
% 0.06/0.36 % TRYING [3]
% 0.06/0.36 % TRYING [4]
% 0.06/0.36 % TRYING [5]
% 0.06/0.36 % (2038817) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2038809-2038817"...
% 0.06/0.36 % (2038815) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2038809-2038815"...
% 0.06/0.36 % (2038817)...printing done.
% 0.06/0.36 % (2038817)Refutation found. Thanks to Tanya!
% 0.06/0.36 % SZS status Theorem for theBenchmark
% 0.06/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.06/0.36 % (2038817)------------------------------
% 0.06/0.36 % (2038817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.36 % (2038817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.36 % (2038817)CaDiCaL version: 2.1.3
% 0.06/0.36 % (2038817)Termination reason: Refutation
% 0.06/0.36 % (2038817)Time elapsed: 0.004 s
% 0.06/0.36 % (2038817)Peak memory usage: 12 MB
% 0.06/0.36 % (2038817)Instructions burned: 11 (million)
% 0.06/0.36 % (2038809)Success in time 0.029 s
% 0.06/0.36 % Vampire exiting
%------------------------------------------------------------------------------