%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO042-2 : TPTP v9.3.1. Released v1.0.0.
% 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 09:51:19 AM UTC 2026
% Result : Unsatisfiable 0.16s 1.50s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 27 ( 14 unt; 1 def)
% Number of atoms : 48 ( 4 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 45 ( 24 ~; 20 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-5 aty)
% Number of variables : 42 ( 0 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X2,X0,X1] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_equidistance) ).
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(f5,axiom,
! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction2) ).
fof(f7,axiom,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_betweeness) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4] :
( between(X1,inner_pasch(X0,X1,X2,X4,X3),X3)
| ~ between(X3,X4,X2)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_pasch1) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X4] :
( between(X4,inner_pasch(X0,X1,X2,X4,X3),X0)
| ~ between(X3,X4,X2)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_pasch2) ).
fof(f19,axiom,
between(u,v,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_x) ).
fof(f20,axiom,
between(v,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_between_v_and_x) ).
fof(f21,negated_conjecture,
~ between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_v_between_u_and_w) ).
fof(f22,plain,
! [X2,X3,X0,X1] :
( inner_pasch(X3,X0,X2,X1,X0) = X0
| ~ between(X3,X0,X2)
| ~ between(X0,X1,X2) ),
inference(resolution,[],[f8,f7]) ).
fof(f25,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(resolution,[],[f5,f3]) ).
fof(f27,plain,
! [X0,X1] : between(X1,X0,X0),
inference(superposition,[],[f4,f25]) ).
fof(f69,plain,
! [X2,X3,X0,X1] :
( between(X1,X0,X2)
| ~ between(X0,X1,X3)
| ~ between(X2,X0,X3)
| ~ between(X2,X0,X3)
| ~ between(X0,X1,X3) ),
inference(superposition,[],[f9,f22]) ).
fof(f72,plain,
! [X2,X3,X0,X1] :
( between(X1,X0,X2)
| ~ between(X0,X1,X3)
| ~ between(X2,X0,X3) ),
inference(duplicate_literal_removal,[],[f69]) ).
fof(f119,definition,
( spl0_8
<=> between(w,v,u) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f121,plain,
( ~ between(w,v,u)
| spl0_8 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f200,plain,
! [X0] :
( ~ between(v,u,X0)
| ~ between(w,v,X0) ),
inference(resolution,[],[f72,f21]) ).
fof(f202,plain,
~ between(w,v,u),
inference(resolution,[],[f200,f27]) ).
fof(f210,plain,
~ spl0_8,
inference(avatar_split_clause,[],[f202,f119]) ).
fof(f211,plain,
( ! [X0] :
( ~ between(v,w,X0)
| ~ between(u,v,X0) )
| spl0_8 ),
inference(resolution,[],[f121,f72]) ).
fof(f261,plain,
( ~ between(u,v,x)
| spl0_8 ),
inference(resolution,[],[f211,f20]) ).
fof(f262,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f261,f19]) ).
fof(f263,plain,
spl0_8,
inference(avatar_contradiction_clause,[],[f262]) ).
cnf(s11,plain,
~ spl0_8,
inference(sat_conversion,[],[f210]) ).
cnf(s13,plain,
spl0_8,
inference(sat_conversion,[],[f263]) ).
cnf(s14,plain,
$false,
inference(rat,[],[s11,s13]) ).
fof(f264,plain,
$false,
inference(avatar_sat_refutation,[],[s14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO042-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 06:41:34 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 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
% 0.16/1.50 % (2747353)Input is clausal, will run a generic CNF schedule.
% 0.16/1.50 % (2747358)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=1965982885:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.16/1.50 % (2747364)dis-21_1_sil=8000:lcm=predicate:random_seed=417517857: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)
% 0.16/1.50 % (2747360)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2960893726:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.16/1.50 % (2747362)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=652062691:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.16/1.50 % (2747361)lrs+10_1_sil=8000:sp=occurrence:random_seed=604372128:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.16/1.50 % (2747359)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3461802946:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.16/1.50 % (2747363)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=776913034:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.16/1.50 % (2747362)Refutation not found, incomplete strategy
% 0.16/1.50 % (2747362)------------------------------
% 0.16/1.50 % (2747362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.50 % (2747361)Refutation not found, incomplete strategy
% 0.16/1.50 % (2747361)------------------------------
% 0.16/1.50 % (2747361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.50 % (2747362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.50 % (2747362)CaDiCaL version: 2.1.3
% 0.16/1.50 % (2747362)Termination reason: Refutation not found, incomplete strategy
% 0.16/1.50 % (2747362)Time elapsed: 0.001 s
% 0.16/1.50 % (2747361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.50 % (2747362)Peak memory usage: 87 MB
% 0.16/1.50 % (2747361)CaDiCaL version: 2.1.3
% 0.16/1.50 % (2747361)Termination reason: Refutation not found, incomplete strategy
% 0.16/1.50 % (2747361)Time elapsed: 0.001 s
% 0.16/1.50 % (2747361)Peak memory usage: 87 MB
% 0.16/1.50 % (2747364)Refutation not found, incomplete strategy
% 0.16/1.50 % (2747364)------------------------------
% 0.16/1.50 % (2747364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.50 % (2747364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.50 % (2747364)CaDiCaL version: 2.1.3
% 0.16/1.50 % (2747364)Termination reason: Refutation not found, incomplete strategy
% 0.16/1.50 % (2747364)Time elapsed: 0.001 s
% 0.16/1.50 % (2747364)Peak memory usage: 87 MB
% 0.16/1.50 % (2747364)Instructions burned: 1 (million)
% 0.16/1.50 % (2747363)First to succeed.
% 0.16/1.50 % (2747363)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2747353"
% 0.16/1.50 % (2747362)------------------------------
% 0.16/1.50 % (2747362)------------------------------
% 0.16/1.50 % (2747364)------------------------------
% 0.16/1.50 % (2747364)------------------------------
% 0.16/1.50 % (2747361)------------------------------
% 0.16/1.50 % (2747361)------------------------------
% 0.16/1.50 % (2747363)Refutation found. Thanks to Tanya!
% 0.16/1.50 % SZS status Unsatisfiable for theBenchmark
% 0.16/1.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.50 % (2747363)------------------------------
% 0.16/1.50 % (2747363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.50 % (2747363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.50 % (2747363)CaDiCaL version: 2.1.3
% 0.16/1.50 % (2747363)Termination reason: Refutation
% 0.16/1.50 % (2747363)Time elapsed: 0.014 s
% 0.16/1.50 % (2747363)Peak memory usage: 89 MB
% 0.16/1.50 % (2747363)Instructions burned: 16 (million)
% 0.16/1.50 % (2747363)------------------------------
% 0.16/1.50 % (2747363)------------------------------
% 0.16/1.50 % (2747353)Success in time 0.448 s
% 0.16/1.50 % Vampire exiting
%------------------------------------------------------------------------------