%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO183+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 : n007.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 09:53:51 AM UTC 2026
% Result : Theorem 0.12s 0.46s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 48 ( 10 unt; 2 def)
% Number of atoms : 126 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 126 ( 48 ~; 52 |; 18 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 67 ( 0 sgn 59 !; 8 ?)
% 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(f11,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',ceq2) ).
fof(f13,conjecture,
! [X0,X1,X2,X3] :
( ( distinct_points(X0,X1)
& convergent_lines(X2,X3)
& ~ distinct_lines(X2,line_connecting(X0,X1)) )
=> ( ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( distinct_points(X0,X1)
& convergent_lines(X2,X3)
& ~ distinct_lines(X2,line_connecting(X0,X1)) )
=> ( ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X1,X2) ) ),
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(f29,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f30,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f29]) ).
fof(f32,plain,
? [X0,X1,X2,X3] :
( ( apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2) )
& distinct_points(X0,X1)
& convergent_lines(X2,X3)
& ~ distinct_lines(X2,line_connecting(X0,X1)) ),
inference(ennf_transformation,[],[f14]) ).
fof(f33,plain,
? [X0,X1,X2,X3] :
( ( apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2) )
& distinct_points(X0,X1)
& convergent_lines(X2,X3)
& ~ distinct_lines(X2,line_connecting(X0,X1)) ),
inference(flattening,[],[f32]) ).
fof(f34,plain,
( ( apart_point_and_line(sK0,sK2)
| apart_point_and_line(sK1,sK2) )
& distinct_points(sK0,sK1)
& convergent_lines(sK2,sK3)
& ~ distinct_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)],[f33]) ).
fof(f35,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ distinct_points(X0,X1)
| distinct_points(X1,X2)
| distinct_points(X0,X2) ),
inference(cnf_transformation,[],[f16]) ).
fof(f41,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(f42,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(f47,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f49,plain,
~ distinct_lines(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f34]) ).
fof(f51,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f34]) ).
fof(f52,plain,
( apart_point_and_line(sK0,sK2)
| apart_point_and_line(sK1,sK2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f54,definition,
( spl4_1
<=> apart_point_and_line(sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f56,plain,
( apart_point_and_line(sK1,sK2)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f58,definition,
( spl4_2
<=> apart_point_and_line(sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f60,plain,
( apart_point_and_line(sK0,sK2)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f61,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f52,f58,f54]) ).
fof(f63,plain,
! [X0] :
( distinct_points(sK1,X0)
| distinct_points(sK0,X0) ),
inference(resolution,[],[f38,f51]) ).
fof(f65,plain,
! [X0,X1] :
( distinct_points(sK0,X0)
| distinct_points(X0,X1)
| distinct_points(sK1,X1) ),
inference(resolution,[],[f63,f38]) ).
fof(f75,plain,
( ! [X0] :
( apart_point_and_line(sK0,X0)
| distinct_lines(sK2,X0) )
| ~ spl4_2 ),
inference(resolution,[],[f47,f60]) ).
fof(f83,plain,
( ! [X0,X1] :
( distinct_lines(sK2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1)
| distinct_points(sK0,X0) )
| ~ spl4_2 ),
inference(resolution,[],[f42,f75]) ).
fof(f90,plain,
! [X0] :
( distinct_points(sK0,X0)
| distinct_points(X0,sK1) ),
inference(resolution,[],[f65,f35]) ).
fof(f183,plain,
( ~ distinct_points(sK0,sK1)
| distinct_points(sK0,sK0)
| ~ spl4_2 ),
inference(resolution,[],[f83,f49]) ).
fof(f186,plain,
( distinct_points(sK0,sK0)
| ~ spl4_2 ),
inference(forward_subsumption_resolution,[],[f183,f90]) ).
fof(f187,plain,
( $false
| ~ spl4_2 ),
inference(forward_subsumption_resolution,[],[f186,f35]) ).
fof(f188,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f187]) ).
fof(f191,plain,
( ! [X0] :
( apart_point_and_line(sK1,X0)
| distinct_lines(sK2,X0) )
| ~ spl4_1 ),
inference(resolution,[],[f56,f47]) ).
fof(f198,plain,
( ! [X0,X1] :
( distinct_lines(sK2,line_connecting(X0,X1))
| distinct_points(sK1,X1)
| ~ distinct_points(X0,X1) )
| ~ spl4_1 ),
inference(resolution,[],[f191,f41]) ).
fof(f267,plain,
( distinct_points(sK1,sK1)
| ~ distinct_points(sK0,sK1)
| ~ spl4_1 ),
inference(resolution,[],[f198,f49]) ).
fof(f270,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl4_1 ),
inference(forward_subsumption_resolution,[],[f267,f35]) ).
fof(f271,plain,
( $false
| ~ spl4_1 ),
inference(forward_subsumption_resolution,[],[f270,f51]) ).
fof(f272,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f271]) ).
cnf(s1,plain,
( spl4_1
| spl4_2 ),
inference(sat_conversion,[],[f61]) ).
cnf(s2,plain,
~ spl4_2,
inference(sat_conversion,[],[f188]) ).
cnf(s3,plain,
~ spl4_1,
inference(sat_conversion,[],[f272]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f273,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO183+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n007.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 07:25:40 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.12/0.46 % (1071980)Will run a generic schedule for satisfiability detection.
% 0.12/0.46 % (1071995)dis+10_1_sil=32000:sp=arity:random_seed=1405546610:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.46 % (1071993)% WARNING: option uhcvi not known.
% 0.12/0.46 % (1071995) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1071980-1071995"...
% 0.12/0.46 % (1071995)...printing done.
% 0.12/0.46 % (1071995)Refutation found. Thanks to Tanya!
% 0.12/0.46 % SZS status Theorem for theBenchmark
% 0.12/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.46 % (1071995)------------------------------
% 0.12/0.46 % (1071995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.46 % (1071995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.46 % (1071995)CaDiCaL version: 2.1.3
% 0.12/0.46 % (1071995)Termination reason: Refutation
% 0.12/0.46 % (1071995)Time elapsed: 0.004 s
% 0.12/0.46 % (1071995)Peak memory usage: 12 MB
% 0.12/0.46 % (1071995)Instructions burned: 9 (million)
% 0.12/0.46 % (1071980)Success in time 0.032 s
% 0.12/0.46 % Vampire exiting
%------------------------------------------------------------------------------