%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO062-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 09:51:24 AM UTC 2026
% Result : Unsatisfiable 5.40s 1.83s
% Output : Refutation 5.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 36 ( 16 unt; 3 def)
% Number of atoms : 61 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 52 ( 27 ~; 22 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-4 aty)
% Number of variables : 35 ( 0 sgn 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X2,X3,X0,X1] : between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction1) ).
fof(f20,axiom,
! [X2,X3,X0,X1] : insertion(X0,X1,X2,X3) = extension(extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),X0,X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',insertion) ).
fof(f45,axiom,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| X0 = X1
| X2 = extension(X0,X1,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_1) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| X0 = X1
| extension(X0,X1,X1,X2) = X2 ),
inference(reorient_equations,[],[f45]) ).
fof(f54,axiom,
! [X2,X0,X1] :
( between(X2,X1,X0)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1) ).
fof(f61,axiom,
! [X2,X3,X0,X1] :
( between(X1,X2,X3)
| ~ between(X0,X2,X3)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b5) ).
fof(f69,axiom,
! [X0,X1] : X0 != extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e3_1) ).
fof(f70,plain,
! [X0,X1] : extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2) != X0,
inference(reorient_equations,[],[f69]) ).
fof(f82,axiom,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f83,negated_conjecture,
v != insertion(u,w,u,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_v_equals_insertion) ).
fof(f94,plain,
v != extension(extension(w,u,lower_dimension_point_1,lower_dimension_point_2),u,u,v),
inference(definition_unfolding,[],[f83,f20]) ).
fof(f98,definition,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ0_eqProxy])],[equality_proxy_definition]) ).
fof(f104,plain,
! [X2,X0,X1] :
( sQ0_eqProxy(extension(X0,X1,X1,X2),X2)
| sQ0_eqProxy(X0,X1)
| ~ between(X0,X1,X2) ),
inference(equality_proxy_replacement,[],[f46,f98,f98]) ).
fof(f117,plain,
! [X0,X1] : ~ sQ0_eqProxy(extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),X0),
inference(equality_proxy_replacement,[],[f70,f98]) ).
fof(f120,plain,
~ sQ0_eqProxy(v,extension(extension(w,u,lower_dimension_point_1,lower_dimension_point_2),u,u,v)),
inference(equality_proxy_replacement,[],[f94,f98]) ).
fof(f126,plain,
! [X0,X1] :
( sQ0_eqProxy(X1,X0)
| ~ sQ0_eqProxy(X0,X1) ),
inference(equality_proxy_axiom,[],[f98]) ).
fof(f127,plain,
~ sQ0_eqProxy(extension(extension(w,u,lower_dimension_point_1,lower_dimension_point_2),u,u,v),v),
inference(resolution,[],[f126,f120]) ).
fof(f324,plain,
( sQ0_eqProxy(extension(w,u,lower_dimension_point_1,lower_dimension_point_2),u)
| ~ between(extension(w,u,lower_dimension_point_1,lower_dimension_point_2),u,v) ),
inference(resolution,[],[f104,f127]) ).
fof(f328,definition,
( spl1_1
<=> between(extension(w,u,lower_dimension_point_1,lower_dimension_point_2),u,v) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f329,plain,
( ~ between(extension(w,u,lower_dimension_point_1,lower_dimension_point_2),u,v)
| spl1_1 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f331,definition,
( spl1_2
<=> sQ0_eqProxy(extension(w,u,lower_dimension_point_1,lower_dimension_point_2),u) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f332,plain,
( sQ0_eqProxy(extension(w,u,lower_dimension_point_1,lower_dimension_point_2),u)
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f333,plain,
( ~ spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f324,f331,f328]) ).
fof(f338,plain,
( ~ between(v,u,extension(w,u,lower_dimension_point_1,lower_dimension_point_2))
| spl1_1 ),
inference(resolution,[],[f329,f54]) ).
fof(f346,plain,
( ! [X0] :
( ~ between(X0,u,extension(w,u,lower_dimension_point_1,lower_dimension_point_2))
| ~ between(X0,v,u) )
| spl1_1 ),
inference(resolution,[],[f338,f61]) ).
fof(f449,plain,
( ~ between(w,v,u)
| spl1_1 ),
inference(resolution,[],[f346,f4]) ).
fof(f467,plain,
( ~ between(u,v,w)
| spl1_1 ),
inference(resolution,[],[f449,f54]) ).
fof(f469,plain,
( $false
| spl1_1 ),
inference(resolution,[],[f467,f82]) ).
fof(f475,plain,
spl1_1,
inference(avatar_contradiction_clause,[],[f469]) ).
fof(f476,plain,
( $false
| ~ spl1_2 ),
inference(resolution,[],[f332,f117]) ).
fof(f477,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f476]) ).
cnf(s1,plain,
( ~ spl1_1
| spl1_2 ),
inference(sat_conversion,[],[f333]) ).
cnf(s6,plain,
spl1_1,
inference(sat_conversion,[],[f475]) ).
cnf(s7,plain,
~ spl1_2,
inference(sat_conversion,[],[f477]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s1,s7,s6]) ).
fof(f478,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO062-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.40 % Computer : n019.cluster.edu
% 0.16/0.40 % Model : x86_64 x86_64
% 0.16/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.40 % Memory : 8046.5625MB
% 0.16/0.40 % OS : Linux 6.8.0-71-generic
% 0.16/0.40 % CPULimit : 300
% 0.16/0.40 % WCLimit : 300
% 0.16/0.40 % DateTime : Sun Sep 27 06:47:03 UTC 2026
% 0.16/0.41 % CPUTime :
% 0.16/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.46 Running first-order theorem proving
% 0.16/0.46 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.40/1.83 % (2748669)Input is clausal, will run a generic CNF schedule.
% 5.40/1.83 % (2748675)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=812792269:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.40/1.83 % (2748680)dis-21_1_sil=8000:lcm=predicate:random_seed=2786604930:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 5.40/1.83 % (2748674)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3115608750:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.40/1.83 % (2748679)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=895769929:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.40/1.83 % (2748677)lrs+10_1_sil=8000:sp=occurrence:random_seed=1501210336:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.40/1.83 % (2748678)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3196068964:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.40/1.83 % (2748676)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1944788527:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.40/1.83 % (2748680)First to succeed.
% 5.40/1.83 % (2748680)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2748669"
% 5.40/1.83 % (2748677)Instruction limit reached!
% 5.40/1.83 % (2748677)------------------------------
% 5.40/1.83 % (2748677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.83 % (2748677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.83 % (2748677)CaDiCaL version: 2.1.3
% 5.40/1.83 % (2748677)Termination reason: Instruction limit
% 5.40/1.83 % (2748677)Termination phase: Saturation
% 5.40/1.83 % (2748677)Time elapsed: 0.102 s
% 5.40/1.83 % (2748677)Peak memory usage: 89 MB
% 5.40/1.83 % (2748677)Instructions burned: 107 (million)
% 5.40/1.83 % (2748678)Instruction limit reached!
% 5.40/1.83 % (2748678)------------------------------
% 5.40/1.83 % (2748678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.83 % (2748678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.83 % (2748678)CaDiCaL version: 2.1.3
% 5.40/1.83 % (2748678)Termination reason: Instruction limit
% 5.40/1.83 % (2748678)Termination phase: Saturation
% 5.40/1.83 % (2748678)Time elapsed: 0.118 s
% 5.40/1.83 % (2748678)Peak memory usage: 89 MB
% 5.40/1.83 % (2748678)Instructions burned: 114 (million)
% 5.40/1.83 % (2748679)Instruction limit reached!
% 5.40/1.83 % (2748679)------------------------------
% 5.40/1.83 % (2748679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.83 % (2748679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.83 % (2748679)CaDiCaL version: 2.1.3
% 5.40/1.83 % (2748679)Termination reason: Instruction limit
% 5.40/1.83 % (2748679)Termination phase: Saturation
% 5.40/1.83 % (2748679)Time elapsed: 0.169 s
% 5.40/1.83 % (2748679)Peak memory usage: 89 MB
% 5.40/1.83 % (2748679)Instructions burned: 180 (million)
% 5.40/1.83 % (2748680)Refutation found. Thanks to Tanya!
% 5.40/1.83 % SZS status Unsatisfiable for theBenchmark
% 5.40/1.83 % SZS output start Proof for theBenchmark
% See solution above
% 5.40/1.83 % (2748680)------------------------------
% 5.40/1.83 % (2748680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.83 % (2748680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.83 % (2748680)CaDiCaL version: 2.1.3
% 5.40/1.83 % (2748680)Termination reason: Refutation
% 5.40/1.83 % (2748680)Time elapsed: 0.011 s
% 5.40/1.83 % (2748680)Peak memory usage: 89 MB
% 5.40/1.83 % (2748680)Instructions burned: 10 (million)
% 5.40/1.83 % (2748680)------------------------------
% 5.40/1.83 % (2748680)------------------------------
% 5.40/1.83 % (2748669)Success in time 0.649 s
% 5.40/1.83 % Vampire exiting
%------------------------------------------------------------------------------