%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO178+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 : n019.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 09:53:49 AM UTC 2026
% Result : Theorem 0.18s 0.46s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 37 ( 10 unt; 2 def)
% Number of atoms : 78 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 71 ( 30 ~; 26 |; 8 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 38 ( 0 sgn 32 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
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(f12,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( distinct_points(X0,X2)
| apart_point_and_line(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq1) ).
fof(f15,conjecture,
! [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/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f16,negated_conjecture,
~ ! [X0,X1,X2] :
( ( distinct_points(X0,X1)
& apart_point_and_line(X2,line_connecting(X0,X1)) )
=> ( distinct_points(X2,X0)
& distinct_points(X2,X1) ) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
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(f29,plain,
! [X0,X1,X2] :
( distinct_points(X0,X2)
| apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f30,plain,
! [X0,X1,X2] :
( distinct_points(X0,X2)
| apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f29]) ).
fof(f35,plain,
? [X0,X1,X2] :
( ( ~ distinct_points(X2,X0)
| ~ distinct_points(X2,X1) )
& distinct_points(X0,X1)
& apart_point_and_line(X2,line_connecting(X0,X1)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f36,plain,
? [X0,X1,X2] :
( ( ~ distinct_points(X2,X0)
| ~ distinct_points(X2,X1) )
& distinct_points(X0,X1)
& apart_point_and_line(X2,line_connecting(X0,X1)) ),
inference(flattening,[],[f35]) ).
fof(f43,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f44,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f48,plain,
! [X2,X0,X1] :
( distinct_points(X0,X2)
| apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f51,plain,
( ~ distinct_points(sK2,sK1)
| ~ distinct_points(sK2,sK0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f52,plain,
apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f36]) ).
fof(f53,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f36]) ).
fof(f55,definition,
( spl3_1
<=> distinct_points(sK2,sK0) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f57,plain,
( ~ distinct_points(sK2,sK0)
| spl3_1 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f59,definition,
( spl3_2
<=> distinct_points(sK2,sK1) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f61,plain,
( ~ distinct_points(sK2,sK1)
| spl3_2 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f62,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f51,f59,f55]) ).
fof(f63,plain,
~ apart_point_and_line(sK0,line_connecting(sK0,sK1)),
inference(resolution,[],[f43,f53]) ).
fof(f64,plain,
~ apart_point_and_line(sK1,line_connecting(sK0,sK1)),
inference(resolution,[],[f44,f53]) ).
fof(f103,plain,
( ! [X0] :
( ~ apart_point_and_line(sK2,X0)
| apart_point_and_line(sK0,X0) )
| spl3_1 ),
inference(resolution,[],[f48,f57]) ).
fof(f110,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| spl3_1 ),
inference(resolution,[],[f103,f52]) ).
fof(f111,plain,
( $false
| spl3_1 ),
inference(forward_subsumption_resolution,[],[f110,f63]) ).
fof(f112,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f111]) ).
fof(f116,plain,
( ! [X0] :
( ~ apart_point_and_line(sK2,X0)
| apart_point_and_line(sK1,X0) )
| spl3_2 ),
inference(resolution,[],[f61,f48]) ).
fof(f132,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| spl3_2 ),
inference(resolution,[],[f116,f52]) ).
fof(f133,plain,
( $false
| spl3_2 ),
inference(forward_subsumption_resolution,[],[f132,f64]) ).
fof(f134,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f133]) ).
cnf(s1,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(sat_conversion,[],[f62]) ).
cnf(s2,plain,
spl3_1,
inference(sat_conversion,[],[f112]) ).
cnf(s3,plain,
spl3_2,
inference(sat_conversion,[],[f134]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f135,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO178+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n019.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 07:25:04 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.18/0.46 % (2763131)Will run a generic schedule for satisfiability detection.
% 0.18/0.46 % (2763140)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3560513291:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.46 % (2763140) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2763131-2763140"...
% 0.18/0.46 % (2763140)...printing done.
% 0.18/0.46 % (2763137)% WARNING: option uhcvi not known.
% 0.18/0.46 % (2763140)Refutation found. Thanks to Tanya!
% 0.18/0.46 % SZS status Theorem for theBenchmark
% 0.18/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.46 % (2763140)------------------------------
% 0.18/0.46 % (2763140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.46 % (2763140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.46 % (2763140)CaDiCaL version: 2.1.3
% 0.18/0.46 % (2763140)Termination reason: Refutation
% 0.18/0.46 % (2763140)Time elapsed: 0.002 s
% 0.18/0.46 % (2763140)Peak memory usage: 12 MB
% 0.18/0.46 % (2763140)Instructions burned: 4 (million)
% 0.18/0.46 % (2763131)Success in time 0.036 s
% 0.18/0.46 % Vampire exiting
%------------------------------------------------------------------------------