%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO030-3 : 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 : n015.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 09:51:16 AM UTC 2026
% Result : Unsatisfiable 3.94s 1.56s
% Output : Refutation 3.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 29 ( 14 unt; 1 def)
% Number of atoms : 66 ( 10 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 71 ( 34 ~; 36 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 40 ( 0 sgn 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X4,X5)
| ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_for_equidistance) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_equidistance) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X1,X6,X3,X7)
| ~ equidistant(X1,X4,X3,X5)
| ~ equidistant(X0,X6,X2,X7)
| ~ equidistant(X0,X1,X2,X3)
| ~ between(X0,X1,X4)
| ~ between(X2,X3,X5)
| X0 = X1
| equidistant(X4,X6,X5,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outer_five_segment) ).
fof(f20,axiom,
! [X0,X1] : equidistant(X0,X1,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1) ).
fof(f41,axiom,
! [X0,X1] : equidistant(X0,X0,X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7) ).
fof(f73,axiom,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f74,axiom,
equidistant(u,w,u,w1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_w_equals_u_to_w1) ).
fof(f75,axiom,
equidistant(v,w,v,w1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_to_w_equals_v_to_w1) ).
fof(f76,axiom,
u != v,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_not_v) ).
fof(f77,negated_conjecture,
w != w1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_w_is_w1) ).
fof(f217,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X0,X1,X2)
| equidistant(X1,X2,X3,X3) ),
inference(resolution,[],[f2,f41]) ).
fof(f365,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(v,X0,v,X1)
| ~ equidistant(X2,w,X3,w1)
| ~ equidistant(X2,v,X3,v)
| ~ between(X2,v,X0)
| ~ between(X3,v,X1)
| v = X2
| equidistant(X0,w,X1,w1) ),
inference(resolution,[],[f6,f75]) ).
fof(f590,plain,
! [X2,X0,X1] :
( ~ equidistant(X0,w,X1,w1)
| ~ equidistant(X0,v,X1,v)
| ~ between(X0,v,X2)
| ~ between(X1,v,X2)
| v = X0
| equidistant(X2,w,X2,w1) ),
inference(resolution,[],[f365,f20]) ).
fof(f915,definition,
( spl0_30
<=> ! [X0] : equidistant(w,w1,X0,X0) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f916,plain,
( ! [X0] : equidistant(w,w1,X0,X0)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f915]) ).
fof(f1154,plain,
! [X0] :
( ~ equidistant(u,v,u,v)
| ~ between(u,v,X0)
| ~ between(u,v,X0)
| u = v
| equidistant(X0,w,X0,w1) ),
inference(resolution,[],[f590,f74]) ).
fof(f1163,plain,
! [X0] :
( ~ equidistant(u,v,u,v)
| ~ between(u,v,X0)
| u = v
| equidistant(X0,w,X0,w1) ),
inference(duplicate_literal_removal,[],[f1154]) ).
fof(f1165,plain,
! [X0] :
( ~ between(u,v,X0)
| u = v
| equidistant(X0,w,X0,w1) ),
inference(forward_subsumption_resolution,[],[f1163,f20]) ).
fof(f1166,plain,
! [X0] :
( equidistant(X0,w,X0,w1)
| ~ between(u,v,X0) ),
inference(forward_subsumption_resolution,[],[f1165,f76]) ).
fof(f1409,plain,
! [X0] :
( ~ between(u,v,w)
| equidistant(w,w1,X0,X0) ),
inference(resolution,[],[f1166,f217]) ).
fof(f1453,plain,
! [X0] : equidistant(w,w1,X0,X0),
inference(forward_subsumption_resolution,[],[f1409,f73]) ).
fof(f1458,plain,
spl0_30,
inference(avatar_split_clause,[],[f1453,f915]) ).
fof(f1480,plain,
( w = w1
| ~ spl0_30 ),
inference(resolution,[],[f916,f3]) ).
fof(f1502,plain,
( $false
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f1480,f77]) ).
fof(f1503,plain,
~ spl0_30,
inference(avatar_contradiction_clause,[],[f1502]) ).
cnf(s61,plain,
spl0_30,
inference(sat_conversion,[],[f1458]) ).
cnf(s64,plain,
~ spl0_30,
inference(sat_conversion,[],[f1503]) ).
cnf(s67,plain,
$false,
inference(rat,[],[s61,s64]) ).
fof(f1518,plain,
$false,
inference(avatar_sat_refutation,[],[s67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO030-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n015.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 06:40:16 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.44 Running first-order theorem proving
% 0.11/0.44 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
% 3.94/1.56 % (1289350)Input is clausal, will run a generic CNF schedule.
% 3.94/1.56 % (1289359)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3397983656:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.94/1.56 % (1289359)Instruction limit reached!
% 3.94/1.56 % (1289359)------------------------------
% 3.94/1.56 % (1289359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.56 % (1289359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.56 % (1289359)CaDiCaL version: 2.1.3
% 3.94/1.56 % (1289359)Termination reason: Instruction limit
% 3.94/1.56 % (1289359)Termination phase: Saturation
% 3.94/1.56 % (1289359)Time elapsed: 0.035 s
% 3.94/1.56 % (1289359)Peak memory usage: 88 MB
% 3.94/1.56 % (1289359)Instructions burned: 118 (million)
% 3.94/1.56 % (1289356)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=27332386:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.94/1.56 % (1289355)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=2186973368:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.94/1.56 % (1289358)lrs+10_1_sil=8000:sp=occurrence:random_seed=2285182924:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.94/1.56 % (1289357)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4123100435:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.94/1.56 % (1289361)dis-21_1_sil=8000:lcm=predicate:random_seed=4144459796: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)
% 3.94/1.56 % (1289360)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=534781925:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.94/1.56 % (1289358)First to succeed.
% 3.94/1.56 % (1289358)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1289350"
% 3.94/1.56 % (1289361)Instruction limit reached!
% 3.94/1.56 % (1289361)------------------------------
% 3.94/1.56 % (1289361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.56 % (1289361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.56 % (1289361)CaDiCaL version: 2.1.3
% 3.94/1.56 % (1289361)Termination reason: Instruction limit
% 3.94/1.56 % (1289361)Termination phase: Saturation
% 3.94/1.56 % (1289361)Time elapsed: 0.071 s
% 3.94/1.56 % (1289361)Peak memory usage: 89 MB
% 3.94/1.56 % (1289361)Instructions burned: 118 (million)
% 3.94/1.56 % (1289360)Instruction limit reached!
% 3.94/1.56 % (1289360)------------------------------
% 3.94/1.56 % (1289360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.56 % (1289360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.56 % (1289360)CaDiCaL version: 2.1.3
% 3.94/1.56 % (1289360)Termination reason: Instruction limit
% 3.94/1.56 % (1289360)Termination phase: Saturation
% 3.94/1.56 % (1289360)Time elapsed: 0.117 s
% 3.94/1.56 % (1289360)Peak memory usage: 89 MB
% 3.94/1.56 % (1289360)Instructions burned: 181 (million)
% 3.94/1.56 % (1289363)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1997943497:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.94/1.56 % (1289363)Also succeeded, but the first one will report.
% 3.94/1.56 % (1289370)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3693454351:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.94/1.56 % (1289358)Refutation found. Thanks to Tanya!
% 3.94/1.56 % SZS status Unsatisfiable for theBenchmark
% 3.94/1.56 % SZS output start Proof for theBenchmark
% See solution above
% 3.94/1.56 % (1289358)------------------------------
% 3.94/1.56 % (1289358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.56 % (1289358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.56 % (1289358)CaDiCaL version: 2.1.3
% 3.94/1.56 % (1289358)Termination reason: Refutation
% 3.94/1.56 % (1289358)Time elapsed: 0.041 s
% 3.94/1.56 % (1289358)Peak memory usage: 90 MB
% 3.94/1.56 % (1289358)Instructions burned: 65 (million)
% 3.94/1.56 % (1289358)------------------------------
% 3.94/1.56 % (1289358)------------------------------
% 3.94/1.56 % (1289350)Success in time 0.473 s
% 3.94/1.56 % Vampire exiting
%------------------------------------------------------------------------------