%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO178+2 : 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 : n016.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 0.09s 0.44s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 32 ( 11 unt; 2 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 69 ( 30 ~; 22 |; 11 &)
% ( 2 <=>; 4 =>; 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 : 33 ( 0 sgn 27 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/benchmark/Axioms/GEO008+0.ax',con1) ).
fof(f13,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(f14,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)],[f13]) ).
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(f32,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,[],[f14]) ).
fof(f33,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,[],[f32]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f48,plain,
( ~ distinct_points(sK2,sK1)
| ~ distinct_points(sK2,sK0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f49,plain,
apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f33]) ).
fof(f50,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f33]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X0,X1)
| ~ distinct_points(X2,X0) ),
inference(consistent_polarity_flipping,[],[f41]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X0,X1)
| ~ distinct_points(X2,X1) ),
inference(consistent_polarity_flipping,[],[f40]) ).
fof(f63,plain,
~ distinct_points(sK0,sK1),
inference(consistent_polarity_flipping,[],[f50]) ).
fof(f64,plain,
( distinct_points(sK2,sK1)
| distinct_points(sK2,sK0) ),
inference(consistent_polarity_flipping,[],[f48]) ).
fof(f66,definition,
( spl3_1
<=> distinct_points(sK2,sK0) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f70,definition,
( spl3_2
<=> distinct_points(sK2,sK1) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f72,plain,
( distinct_points(sK2,sK1)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f73,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f64,f70,f66]) ).
fof(f88,plain,
( distinct_points(sK0,sK1)
| ~ distinct_points(sK2,sK0) ),
inference(resolution,[],[f55,f49]) ).
fof(f93,plain,
~ distinct_points(sK2,sK0),
inference(forward_subsumption_resolution,[],[f88,f63]) ).
fof(f94,plain,
~ spl3_1,
inference(avatar_split_clause,[],[f93,f66]) ).
fof(f95,plain,
( distinct_points(sK0,sK1)
| ~ distinct_points(sK2,sK1) ),
inference(resolution,[],[f56,f49]) ).
fof(f100,plain,
~ distinct_points(sK2,sK1),
inference(forward_subsumption_resolution,[],[f95,f63]) ).
fof(f101,plain,
( $false
| ~ spl3_2 ),
inference(forward_subsumption_resolution,[],[f100,f72]) ).
fof(f102,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f101]) ).
cnf(s1,plain,
( spl3_1
| spl3_2 ),
inference(sat_conversion,[],[f73]) ).
cnf(s2,plain,
~ spl3_1,
inference(sat_conversion,[],[f94]) ).
cnf(s3,plain,
~ spl3_2,
inference(sat_conversion,[],[f102]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f103,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO178+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 07:29:31 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 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
% 0.09/0.44 % (2290680)Will run a generic schedule for satisfiability detection.
% 0.09/0.44 % (2290686)% WARNING: option uhcvi not known.
% 0.09/0.44 % (2290686)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1467983426:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.44 % (2290685)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1941886479_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.44 % (2290688)dis+10_1_sil=32000:sp=arity:random_seed=4248636480:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.44 % (2290687)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2855343486:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.44 % (2290691)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3363456493:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.44 % (2290689)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2978456467:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.44 % (2290690)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1093441126:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.44 % (2290686) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2290680-2290686"...
% 0.09/0.44 % TRYING [1]
% 0.09/0.44 % (2290686)...printing done.
% 0.09/0.44 % TRYING [2]
% 0.09/0.44 % TRYING [3]
% 0.09/0.44 % (2290691) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2290680-2290691"...
% 0.09/0.44 % (2290686)Refutation found. Thanks to Tanya!
% 0.09/0.44 % SZS status Theorem for theBenchmark
% 0.09/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.44 % (2290686)------------------------------
% 0.09/0.44 % (2290686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.44 % (2290686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.44 % (2290686)CaDiCaL version: 2.1.3
% 0.09/0.44 % (2290686)Termination reason: Refutation
% 0.09/0.44 % (2290686)Time elapsed: 0.002 s
% 0.09/0.44 % (2290686)Peak memory usage: 12 MB
% 0.09/0.44 % (2290686)Instructions burned: 2 (million)
% 0.09/0.44 % (2290680)Success in time 0.037 s
% 0.09/0.44 % Vampire exiting
%------------------------------------------------------------------------------