%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO044-3 : 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 : n001.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 9.04s 2.26s
% Output : Refutation 9.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 14 ( 10 unt; 0 def)
% Number of atoms : 22 ( 6 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 17 ( 9 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-4 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f31,axiom,
! [X2,X3,X0,X1,X4] :
( X0 != extension(X1,X2,X3,X4)
| between(X1,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b0) ).
fof(f32,plain,
! [X2,X3,X0,X1,X4] :
( extension(X1,X2,X3,X4) != X0
| between(X1,X2,X0) ),
inference(reorient_equations,[],[f31]) ).
fof(f43,axiom,
! [X2,X3,X0,X1] :
( ~ equidistant(X1,X2,X1,X3)
| ~ between(X0,X1,X3)
| ~ between(X0,X1,X2)
| X0 = X1
| X2 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9) ).
fof(f60,axiom,
! [X2,X3,X0,X1] :
( ~ between(X0,X2,X3)
| ~ between(X0,X1,X2)
| between(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b5) ).
fof(f61,axiom,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f62,axiom,
between(v,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_between_v_and_x) ).
fof(f63,axiom,
v != w,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_not_w) ).
fof(f64,negated_conjecture,
~ between(u,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_w_between_u_and_x) ).
fof(f72,plain,
! [X2,X3,X1,X4] : between(X1,X2,extension(X1,X2,X3,X4)),
inference(equality_resolution,[],[f32]) ).
fof(f123,plain,
! [X0,X1] : between(v,w,extension(u,w,X0,X1)),
inference(unit_resulting_resolution,[],[f60,f61,f72]) ).
fof(f1173,plain,
x = extension(u,w,w,x),
inference(unit_resulting_resolution,[],[f43,f62,f63,f5,f123]) ).
fof(f1194,plain,
between(u,w,x),
inference(superposition,[],[f72,f1173]) ).
fof(f1195,plain,
$false,
inference(forward_subsumption_resolution,[],[f1194,f64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO044-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n001.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 06:47:30 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 8.67/2.06 % (3206920)Input is clausal, will run a generic CNF schedule.
% 8.67/2.06 % (3206928)lrs+10_1_sil=8000:sp=occurrence:random_seed=3744862907:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.67/2.06 % (3206928)Refutation not found, incomplete strategy
% 8.67/2.06 % (3206928)------------------------------
% 8.67/2.06 % (3206928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.67/2.06 % (3206928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.67/2.06 % (3206928)CaDiCaL version: 2.1.3
% 8.67/2.06 % (3206928)Termination reason: Refutation not found, incomplete strategy
% 8.67/2.06 % (3206928)Time elapsed: 0.001 s
% 8.67/2.06 % (3206928)Peak memory usage: 88 MB
% 8.67/2.06 % (3206928)Instructions burned: 1 (million)
% 8.67/2.06 % (3206931)dis-21_1_sil=8000:lcm=predicate:random_seed=4012528195: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)
% 8.67/2.06 % (3206930)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=324483153:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.67/2.06 % (3206927)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=723896565:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.67/2.06 % (3206925)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=2700851422:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.67/2.06 % (3206926)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3995850218:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.67/2.06 % (3206929)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4122019392:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.67/2.06 % (3206929)Instruction limit reached!
% 8.67/2.06 % (3206929)------------------------------
% 8.67/2.06 % (3206929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.67/2.06 % (3206929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.67/2.06 % (3206929)CaDiCaL version: 2.1.3
% 8.67/2.06 % (3206929)Termination reason: Instruction limit
% 8.67/2.06 % (3206929)Termination phase: Saturation
% 8.67/2.06 % (3206929)Time elapsed: 0.064 s
% 8.67/2.06 % (3206929)Peak memory usage: 88 MB
% 8.67/2.06 % (3206929)Instructions burned: 114 (million)
% 8.67/2.06 % (3206931)Instruction limit reached!
% 8.67/2.06 % (3206931)------------------------------
% 8.67/2.06 % (3206931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.67/2.06 % (3206931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.67/2.06 % (3206931)CaDiCaL version: 2.1.3
% 8.67/2.06 % (3206931)Termination reason: Instruction limit
% 8.67/2.06 % (3206931)Termination phase: Saturation
% 8.67/2.06 % (3206931)Time elapsed: 0.071 s
% 8.67/2.06 % (3206931)Peak memory usage: 88 MB
% 8.67/2.06 % (3206931)Instructions burned: 118 (million)
% 8.67/2.06 % (3206930)Instruction limit reached!
% 8.67/2.06 % (3206930)------------------------------
% 8.67/2.06 % (3206930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.67/2.06 % (3206930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.67/2.06 % (3206930)CaDiCaL version: 2.1.3
% 8.67/2.06 % (3206930)Termination reason: Instruction limit
% 8.67/2.06 % (3206930)Termination phase: Saturation
% 8.67/2.06 % (3206930)Time elapsed: 0.115 s
% 8.67/2.06 % (3206930)Peak memory usage: 89 MB
% 8.67/2.06 % (3206930)Instructions burned: 180 (million)
% 8.67/2.06 % (3206928)------------------------------
% 8.67/2.06 % (3206928)------------------------------
% 8.67/2.06 % (3206940)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3953435272: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)
% 8.67/2.06 % (3206939)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=2994627882:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 8.67/2.06 % (3206939)Refutation not found, incomplete strategy
% 8.67/2.06 % (3206939)------------------------------
% 8.67/2.06 % (3206939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.67/2.06 % (3206939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.26 % (3206939)CaDiCaL version: 2.1.3
% 9.04/2.26 % (3206939)Termination reason: Refutation not found, incomplete strategy
% 9.04/2.26 % (3206939)Time elapsed: 0.003 s
% 9.04/2.26 % (3206939)Peak memory usage: 88 MB
% 9.04/2.26 % (3206939)Instructions burned: 2 (million)
% 9.04/2.26 % (3206941)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3513238663:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 9.04/2.26 % (3206942)lrs+10_64_to=lpo:sil=8000:random_seed=2629316428:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 9.04/2.26 % (3206942)Instruction limit reached!
% 9.04/2.26 % (3206942)------------------------------
% 9.04/2.26 % (3206942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.04/2.26 % (3206942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.26 % (3206942)CaDiCaL version: 2.1.3
% 9.04/2.26 % (3206942)Termination reason: Instruction limit
% 9.04/2.26 % (3206942)Termination phase: Saturation
% 9.04/2.26 % (3206942)Time elapsed: 0.042 s
% 9.04/2.26 % (3206942)Peak memory usage: 89 MB
% 9.04/2.26 % (3206942)Instructions burned: 130 (million)
% 9.04/2.26 % (3206940)Instruction limit reached!
% 9.04/2.26 % (3206940)------------------------------
% 9.04/2.26 % (3206940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.04/2.26 % (3206940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.26 % (3206940)CaDiCaL version: 2.1.3
% 9.04/2.26 % (3206940)Termination reason: Instruction limit
% 9.04/2.26 % (3206940)Termination phase: Saturation
% 9.04/2.26 % (3206940)Time elapsed: 0.097 s
% 9.04/2.26 % (3206940)Peak memory usage: 89 MB
% 9.04/2.26 % (3206940)Instructions burned: 191 (million)
% 9.04/2.26 % (3206941)Instruction limit reached!
% 9.04/2.26 % (3206941)------------------------------
% 9.04/2.26 % (3206941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.04/2.26 % (3206941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.26 % (3206941)CaDiCaL version: 2.1.3
% 9.04/2.26 % (3206941)Termination reason: Instruction limit
% 9.04/2.26 % (3206941)Termination phase: Saturation
% 9.04/2.26 % (3206941)Time elapsed: 0.144 s
% 9.04/2.26 % (3206941)Peak memory usage: 89 MB
% 9.04/2.26 % (3206941)Instructions burned: 221 (million)
% 9.04/2.26 % (3206947)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1278841913:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 9.04/2.26 % (3206939)------------------------------
% 9.04/2.26 % (3206939)------------------------------
% 9.04/2.26 % (3206948)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=611919149:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 9.04/2.26 % (3206947)Instruction limit reached!
% 9.04/2.26 % (3206947)------------------------------
% 9.04/2.26 % (3206947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.04/2.26 % (3206947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.26 % (3206947)CaDiCaL version: 2.1.3
% 9.04/2.26 % (3206947)Termination reason: Instruction limit
% 9.04/2.26 % (3206947)Termination phase: Saturation
% 9.04/2.26 % (3206947)Time elapsed: 0.067 s
% 9.04/2.26 % (3206947)Peak memory usage: 90 MB
% 9.04/2.26 % (3206947)Instructions burned: 195 (million)
% 9.04/2.26 % (3206949)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3428148607:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 9.04/2.26 % (3206948)Instruction limit reached!
% 9.04/2.26 % (3206948)------------------------------
% 9.04/2.26 % (3206948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.04/2.26 % (3206948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.26 % (3206948)CaDiCaL version: 2.1.3
% 9.04/2.26 % (3206948)Termination reason: Instruction limit
% 9.04/2.26 % (3206948)Termination phase: Saturation
% 9.04/2.26 % (3206948)Time elapsed: 0.100 s
% 9.04/2.26 % (3206948)Peak memory usage: 90 MB
% 9.04/2.26 % (3206948)Instructions burned: 158 (million)
% 9.04/2.26 % (3206952)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=4083072316:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 9.04/2.26 % (3206952)Refutation not found, incomplete strategy
% 9.04/2.26 % (3206952)------------------------------
% 9.04/2.26 % (3206952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.04/2.26 % (3206952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.26 % (3206952)CaDiCaL version: 2.1.3
% 9.04/2.26 % (3206952)Termination reason: Refutation not found, incomplete strategy
% 9.04/2.26 % (3206952)Time elapsed: 0.004 s
% 9.04/2.26 % (3206952)Peak memory usage: 88 MB
% 9.04/2.26 % (3206952)Instructions burned: 5 (million)
% 9.04/2.26 % (3206953)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=976704056:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 9.04/2.26 % (3206953)Instruction limit reached!
% 9.04/2.26 % (3206953)------------------------------
% 9.04/2.26 % (3206953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.04/2.26 % (3206953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.26 % (3206953)CaDiCaL version: 2.1.3
% 9.04/2.26 % (3206953)Termination reason: Instruction limit
% 9.04/2.26 % (3206953)Termination phase: Saturation
% 9.04/2.26 % (3206953)Time elapsed: 0.036 s
% 9.04/2.26 % (3206953)Peak memory usage: 89 MB
% 9.04/2.26 % (3206953)Instructions burned: 110 (million)
% 9.04/2.26 % (3206955)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3667867195:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 9.04/2.26 % (3206926)First to succeed.
% 9.04/2.26 % (3206926)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3206920"
% 9.04/2.26 % (3206958)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=713451997:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 9.04/2.26 % (3206952)------------------------------
% 9.04/2.26 % (3206952)------------------------------
% 9.04/2.26 % (3206955)Instruction limit reached!
% 9.04/2.26 % (3206955)------------------------------
% 9.04/2.26 % (3206955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.04/2.26 % (3206955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.26 % (3206955)CaDiCaL version: 2.1.3
% 9.04/2.26 % (3206955)Termination reason: Instruction limit
% 9.04/2.26 % (3206955)Termination phase: Saturation
% 9.04/2.26 % (3206955)Time elapsed: 0.164 s
% 9.04/2.26 % (3206955)Peak memory usage: 90 MB
% 9.04/2.26 % (3206955)Instructions burned: 243 (million)
% 9.04/2.26 % (3206925)Also succeeded, but the first one will report.
% 9.04/2.26 % (3206926)Refutation found. Thanks to Tanya!
% 9.04/2.26 % SZS status Unsatisfiable for theBenchmark
% 9.04/2.26 % SZS output start Proof for theBenchmark
% See solution above
% 9.04/2.26 % (3206926)------------------------------
% 9.04/2.26 % (3206926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.04/2.26 % (3206926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.26 % (3206926)CaDiCaL version: 2.1.3
% 9.04/2.26 % (3206926)Termination reason: Refutation
% 9.04/2.26 % (3206926)Time elapsed: 0.757 s
% 9.04/2.26 % (3206926)Peak memory usage: 128 MB
% 9.04/2.26 % (3206926)Instructions burned: 1159 (million)
% 9.04/2.26 % (3206926)------------------------------
% 9.04/2.26 % (3206926)------------------------------
% 9.04/2.26 % (3206920)Success in time 1.198 s
% 9.04/2.26 % Vampire exiting
%------------------------------------------------------------------------------