%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO179+1 : 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 : 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 0.16s 0.46s
% Output : Refutation 0.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 47 ( 10 unt; 2 def)
% Number of atoms : 101 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 96 ( 42 ~; 38 |; 8 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn 47 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO006+0.ax',ceq1) ).
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/sandbox/benchmark/Axioms/GEO006+0.ax',ceq2) ).
fof(f15,conjecture,
! [X0,X1,X2] :
( ( distinct_points(X0,X1)
& apart_point_and_line(X2,line_connecting(X0,X1)) )
=> ( distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0))
& distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1)) ) ),
file('/export/starexec/sandbox/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_lines(line_connecting(X0,X1),line_connecting(X2,X0))
& distinct_lines(line_connecting(X0,X1),line_connecting(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(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] :
( ( ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0))
| ~ distinct_lines(line_connecting(X0,X1),line_connecting(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_lines(line_connecting(X0,X1),line_connecting(X2,X0))
| ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1)) )
& distinct_points(X0,X1)
& apart_point_and_line(X2,line_connecting(X0,X1)) ),
inference(flattening,[],[f35]) ).
fof(f43,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f44,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f49,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(f51,plain,
( ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1))
| ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(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(f61,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X1,X2) ),
inference(consistent_polarity_flipping,[],[f49]) ).
fof(f63,plain,
( distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1))
| distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK0)) ),
inference(consistent_polarity_flipping,[],[f51]) ).
fof(f65,definition,
( spl3_1
<=> distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK0)) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f67,plain,
( distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK0))
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f69,definition,
( spl3_2
<=> distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1)) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f71,plain,
( distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1))
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f72,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f63,f69,f65]) ).
fof(f74,plain,
! [X0] :
( apart_point_and_line(X0,line_connecting(sK0,sK1))
| distinct_points(sK2,X0) ),
inference(resolution,[],[f48,f52]) ).
fof(f80,plain,
( distinct_points(sK2,sK0)
| ~ distinct_points(sK0,sK1) ),
inference(resolution,[],[f74,f43]) ).
fof(f81,plain,
( distinct_points(sK2,sK1)
| ~ distinct_points(sK0,sK1) ),
inference(resolution,[],[f74,f44]) ).
fof(f85,plain,
distinct_points(sK2,sK1),
inference(forward_subsumption_resolution,[],[f81,f53]) ).
fof(f86,plain,
distinct_points(sK2,sK0),
inference(forward_subsumption_resolution,[],[f80,f53]) ).
fof(f87,plain,
! [X0] :
( ~ distinct_lines(line_connecting(sK0,sK1),X0)
| apart_point_and_line(sK2,X0) ),
inference(resolution,[],[f61,f52]) ).
fof(f96,plain,
( apart_point_and_line(sK2,line_connecting(sK2,sK1))
| ~ spl3_2 ),
inference(resolution,[],[f87,f71]) ).
fof(f98,plain,
( ~ distinct_points(sK2,sK1)
| ~ spl3_2 ),
inference(resolution,[],[f96,f43]) ).
fof(f101,plain,
( $false
| ~ spl3_2 ),
inference(forward_subsumption_resolution,[],[f98,f85]) ).
fof(f102,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f101]) ).
fof(f103,plain,
( apart_point_and_line(sK2,line_connecting(sK2,sK0))
| ~ spl3_1 ),
inference(resolution,[],[f67,f87]) ).
fof(f105,plain,
( ~ distinct_points(sK2,sK0)
| ~ spl3_1 ),
inference(resolution,[],[f103,f43]) ).
fof(f108,plain,
( $false
| ~ spl3_1 ),
inference(forward_subsumption_resolution,[],[f105,f86]) ).
fof(f109,plain,
~ spl3_1,
inference(avatar_contradiction_clause,[],[f108]) ).
cnf(s1,plain,
( spl3_1
| spl3_2 ),
inference(sat_conversion,[],[f72]) ).
cnf(s2,plain,
~ spl3_2,
inference(sat_conversion,[],[f102]) ).
cnf(s3,plain,
~ spl3_1,
inference(sat_conversion,[],[f109]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f110,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO179+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n019.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 07:25:34 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.16/0.41 Running first-order model finding
% 0.16/0.41 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
% 0.16/0.46 % (2763946)Will run a generic schedule for satisfiability detection.
% 0.16/0.46 % (2763953)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1893598686:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.46 % (2763952)% WARNING: option uhcvi not known.
% 0.16/0.46 % (2763951)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1708644820_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.46 % (2763952)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=882440131:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.46 % (2763957)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=862910056:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.46 % (2763955)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1693395006:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.46 % (2763954)dis+10_1_sil=32000:sp=arity:random_seed=3773481606:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.46 % (2763956)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1695123450:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.46 % TRYING [1]
% 0.16/0.46 % TRYING [2]
% 0.16/0.46 % TRYING [3]
% 0.16/0.46 % (2763952) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2763946-2763952"...
% 0.16/0.46 % TRYING [4]
% 0.16/0.46 % (2763954) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2763946-2763954"...
% 0.16/0.46 % (2763957) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2763946-2763957"...
% 0.16/0.46 % (2763956) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2763946-2763956"...
% 0.16/0.46 % (2763952)...printing done.
% 0.16/0.46 % (2763954)...printing done.
% 0.16/0.46 % TRYING [5]
% 0.16/0.46 % (2763957)...printing done.
% 0.16/0.46 % (2763956)...printing done.
% 0.16/0.46 % (2763952)Refutation found. Thanks to Tanya!
% 0.16/0.46 % SZS status Theorem for theBenchmark
% 0.16/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.33/0.46 % (2763952)------------------------------
% 0.33/0.46 % (2763952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.46 % (2763952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.46 % (2763952)CaDiCaL version: 2.1.3
% 0.33/0.46 % (2763952)Termination reason: Refutation
% 0.33/0.46 % (2763952)Time elapsed: 0.003 s
% 0.33/0.46 % (2763952)Peak memory usage: 12 MB
% 0.33/0.46 % (2763952)Instructions burned: 3 (million)
% 0.33/0.46 % (2763946)Success in time 0.04 s
% 0.33/0.46 % Vampire exiting
%------------------------------------------------------------------------------