%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO024-2 : 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 : n013.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 09:51:14 AM UTC 2026
% Result : Unsatisfiable 3.66s 1.48s
% Output : Refutation 3.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 10 ( 7 unt; 0 def)
% Number of atoms : 14 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 8 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-4 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : equidistant(X0,X1,X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_for_equidistance) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(X2,X3,X4,X5)
| ~ equidistant(X0,X1,X4,X5)
| ~ equidistant(X0,X1,X2,X3) ),
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(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(f19,negated_conjecture,
~ equidistant(u,u,v,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_congruence) ).
fof(f21,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(resolution,[],[f5,f3]) ).
fof(f22,plain,
! [X0,X1] :
( ~ equidistant(X0,X1,v,v)
| ~ equidistant(X0,X1,u,u) ),
inference(resolution,[],[f2,f19]) ).
fof(f26,plain,
! [X0,X1] : ~ equidistant(X0,extension(X1,X0,v,v),u,u),
inference(resolution,[],[f22,f5]) ).
fof(f52,plain,
! [X0] : ~ equidistant(X0,X0,u,u),
inference(superposition,[],[f26,f21]) ).
fof(f56,plain,
$false,
inference(resolution,[],[f52,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO024-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 06:35:21 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 3.66/1.48 % (4062269)Input is clausal, will run a generic CNF schedule.
% 3.66/1.48 % (4062280)dis-21_1_sil=8000:lcm=predicate:random_seed=3697379350: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)
% 3.66/1.48 % (4062280)Instruction limit reached!
% 3.66/1.48 % (4062280)------------------------------
% 3.66/1.48 % (4062280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.48 % (4062280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.48 % (4062280)CaDiCaL version: 2.1.3
% 3.66/1.48 % (4062280)Termination reason: Instruction limit
% 3.66/1.48 % (4062280)Termination phase: Saturation
% 3.66/1.48 % (4062280)Time elapsed: 0.037 s
% 3.66/1.48 % (4062280)Peak memory usage: 88 MB
% 3.66/1.48 % (4062280)Instructions burned: 118 (million)
% 3.66/1.48 % (4062276)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2894742804:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.66/1.48 % (4062277)lrs+10_1_sil=8000:sp=occurrence:random_seed=158531446:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.66/1.48 % (4062278)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=712461911:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.66/1.48 % (4062275)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1719239288:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.66/1.48 % (4062274)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=1229336630:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.66/1.48 % (4062279)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3562490095:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.66/1.48 % (4062277)Refutation not found, incomplete strategy
% 3.66/1.48 % (4062277)------------------------------
% 3.66/1.48 % (4062277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.48 % (4062277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.48 % (4062277)CaDiCaL version: 2.1.3
% 3.66/1.48 % (4062277)Termination reason: Refutation not found, incomplete strategy
% 3.66/1.48 % (4062277)Time elapsed: 0.001 s
% 3.66/1.48 % (4062277)Peak memory usage: 87 MB
% 3.66/1.48 % (4062279)First to succeed.
% 3.66/1.48 % (4062279)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4062269"
% 3.66/1.48 % (4062278)Instruction limit reached!
% 3.66/1.48 % (4062278)------------------------------
% 3.66/1.48 % (4062278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.48 % (4062278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.48 % (4062278)CaDiCaL version: 2.1.3
% 3.66/1.48 % (4062278)Termination reason: Instruction limit
% 3.66/1.48 % (4062278)Termination phase: Saturation
% 3.66/1.48 % (4062278)Time elapsed: 0.068 s
% 3.66/1.48 % (4062278)Peak memory usage: 88 MB
% 3.66/1.48 % (4062278)Instructions burned: 114 (million)
% 3.66/1.48 % (4062282)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=3114318612:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.66/1.48 % (4062282)Refutation not found, incomplete strategy
% 3.66/1.48 % (4062282)------------------------------
% 3.66/1.48 % (4062282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.48 % (4062282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.48 % (4062282)CaDiCaL version: 2.1.3
% 3.66/1.48 % (4062282)Termination reason: Refutation not found, incomplete strategy
% 3.66/1.48 % (4062282)Time elapsed: 0.001 s
% 3.66/1.48 % (4062282)Peak memory usage: 88 MB
% 3.66/1.48 % (4062282)Instructions burned: 1 (million)
% 3.66/1.48 % (4062289)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2925643181: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)
% 3.66/1.48 % (4062277)------------------------------
% 3.66/1.48 % (4062277)------------------------------
% 3.66/1.48 % (4062279)Refutation found. Thanks to Tanya!
% 3.66/1.48 % SZS status Unsatisfiable for theBenchmark
% 3.66/1.48 % SZS output start Proof for theBenchmark
% See solution above
% 3.66/1.48 % (4062279)------------------------------
% 3.66/1.48 % (4062279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.48 % (4062279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.48 % (4062279)CaDiCaL version: 2.1.3
% 3.66/1.48 % (4062279)Termination reason: Refutation
% 3.66/1.48 % (4062279)Time elapsed: 0.004 s
% 3.66/1.48 % (4062279)Peak memory usage: 88 MB
% 3.66/1.48 % (4062279)Instructions burned: 3 (million)
% 3.66/1.48 % (4062279)------------------------------
% 3.66/1.48 % (4062279)------------------------------
% 3.66/1.48 % (4062269)Success in time 0.445 s
% 3.66/1.48 % Vampire exiting
%------------------------------------------------------------------------------