%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO124-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 09:51:37 AM UTC 2026
% Result : Unsatisfiable 7.92s 2.07s
% Output : Refutation 7.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of formulae : 15 ( 10 unt; 0 def)
% Number of atoms : 23 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f66,axiom,
! [X2,X3,X0,X1] :
( ~ between_c(X0,X1,X2,X3)
| X1 != X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_c_defn_1) ).
fof(f76,axiom,
! [X2,X3,X0,X1] :
( between_o(X0,X1,X2,X3)
| ~ ordered_by(X0,X2,X3)
| ~ ordered_by(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_o_defn_5) ).
fof(f78,axiom,
! [X0,X1] :
( ~ start_point(X0,X1)
| incident_o(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',start_point_defn_7) ).
fof(f79,axiom,
! [X2,X0,X1] :
( ordered_by(X1,X0,X2)
| X0 = X2
| ~ incident_o(X2,X1)
| ~ start_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',start_point_defn_8) ).
fof(f97,axiom,
! [X2,X3,X0,X1] :
( between_c(ax2_sk4(X0,X3,X2,X1),X1,X2,X3)
| ~ between_o(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o3_24) ).
fof(f124,negated_conjecture,
start_point(sk26,sk25),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_4_10_1_133) ).
fof(f125,negated_conjecture,
start_point(sk27,sk25),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_4_10_1_134) ).
fof(f126,negated_conjecture,
sk26 != sk27,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_4_10_1_135) ).
fof(f131,plain,
! [X2,X3,X0] : ~ between_c(X0,X3,X2,X3),
inference(equality_resolution,[],[f66]) ).
fof(f136,plain,
incident_o(sk27,sk25),
inference(unit_resulting_resolution,[],[f78,f125]) ).
fof(f137,plain,
ordered_by(sk25,sk26,sk27),
inference(unit_resulting_resolution,[],[f79,f126,f136,f124]) ).
fof(f138,plain,
incident_o(sk26,sk25),
inference(unit_resulting_resolution,[],[f78,f124]) ).
fof(f139,plain,
ordered_by(sk25,sk27,sk26),
inference(unit_resulting_resolution,[],[f79,f125,f126,f138]) ).
fof(f140,plain,
! [X2,X0,X1] : ~ between_o(X0,X1,X2,X1),
inference(unit_resulting_resolution,[],[f97,f131]) ).
fof(f146,plain,
$false,
inference(unit_resulting_resolution,[],[f76,f139,f137,f140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO124-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 07:07:46 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 6.24/1.88 % (596388)Input is clausal, will run a generic CNF schedule.
% 6.24/1.88 % (596396)lrs+10_1_sil=8000:sp=occurrence:random_seed=823444229:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.24/1.88 % (596396)Refutation not found, incomplete strategy
% 6.24/1.88 % (596396)------------------------------
% 6.24/1.88 % (596396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.88 % (596396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.88 % (596396)CaDiCaL version: 2.1.3
% 6.24/1.88 % (596396)Termination reason: Refutation not found, incomplete strategy
% 6.24/1.88 % (596396)Time elapsed: 0.001 s
% 6.24/1.88 % (596396)Peak memory usage: 88 MB
% 6.24/1.88 % (596396)Instructions burned: 1 (million)
% 6.24/1.88 % (596397)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4261470856:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.24/1.88 % (596395)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=111839184:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.24/1.88 % (596393)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=74088933:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.24/1.88 % (596399)dis-21_1_sil=8000:lcm=predicate:random_seed=3764480187: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)
% 6.24/1.88 % (596394)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2093414025:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.24/1.88 % (596398)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1239040037:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.24/1.88 % (596397)Refutation not found, incomplete strategy
% 6.24/1.88 % (596397)------------------------------
% 6.24/1.88 % (596397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.88 % (596397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.88 % (596397)CaDiCaL version: 2.1.3
% 6.24/1.88 % (596397)Termination reason: Refutation not found, incomplete strategy
% 6.24/1.88 % (596397)Time elapsed: 0.002 s
% 6.24/1.88 % (596397)Peak memory usage: 88 MB
% 6.24/1.88 % (596397)Instructions burned: 1 (million)
% 6.24/1.88 % (596399)Instruction limit reached!
% 6.24/1.88 % (596399)------------------------------
% 6.24/1.88 % (596399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.88 % (596399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.88 % (596399)CaDiCaL version: 2.1.3
% 6.24/1.88 % (596399)Termination reason: Instruction limit
% 6.24/1.88 % (596399)Termination phase: Saturation
% 6.24/1.88 % (596399)Time elapsed: 0.061 s
% 6.24/1.88 % (596399)Peak memory usage: 88 MB
% 6.24/1.88 % (596399)Instructions burned: 118 (million)
% 6.24/1.88 % (596396)------------------------------
% 6.24/1.88 % (596396)------------------------------
% 6.24/1.88 % (596398)Instruction limit reached!
% 6.24/1.88 % (596398)------------------------------
% 6.24/1.88 % (596398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.88 % (596398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.88 % (596398)CaDiCaL version: 2.1.3
% 6.24/1.88 % (596398)Termination reason: Instruction limit
% 6.24/1.88 % (596398)Termination phase: Saturation
% 6.24/1.88 % (596398)Time elapsed: 0.117 s
% 6.24/1.88 % (596398)Peak memory usage: 88 MB
% 6.24/1.88 % (596398)Instructions burned: 182 (million)
% 6.24/1.88 % (596407)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=4096583784:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.24/1.88 % (596407)Refutation not found, incomplete strategy
% 6.24/1.88 % (596407)------------------------------
% 6.24/1.88 % (596407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.88 % (596407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.88 % (596407)CaDiCaL version: 2.1.3
% 6.24/1.88 % (596407)Termination reason: Refutation not found, incomplete strategy
% 6.24/1.88 % (596407)Time elapsed: 0.001 s
% 6.24/1.88 % (596407)Peak memory usage: 88 MB
% 6.24/1.88 % (596408)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1710178623: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)
% 7.92/2.07 % (596408)Refutation not found, incomplete strategy
% 7.92/2.07 % (596408)------------------------------
% 7.92/2.07 % (596408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.92/2.07 % (596408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.92/2.07 % (596408)CaDiCaL version: 2.1.3
% 7.92/2.07 % (596408)Termination reason: Refutation not found, incomplete strategy
% 7.92/2.07 % (596408)Time elapsed: 0.004 s
% 7.92/2.07 % (596408)Peak memory usage: 88 MB
% 7.92/2.07 % (596408)Instructions burned: 10 (million)
% 7.92/2.07 % (596409)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2700495559:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.92/2.07 % (596397)------------------------------
% 7.92/2.07 % (596397)------------------------------
% 7.92/2.07 % (596409)Refutation not found, incomplete strategy
% 7.92/2.07 % (596409)------------------------------
% 7.92/2.07 % (596409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.92/2.07 % (596409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.92/2.07 % (596409)CaDiCaL version: 2.1.3
% 7.92/2.07 % (596409)Termination reason: Refutation not found, incomplete strategy
% 7.92/2.07 % (596409)Time elapsed: 0.002 s
% 7.92/2.07 % (596409)Peak memory usage: 88 MB
% 7.92/2.07 % (596409)Instructions burned: 3 (million)
% 7.92/2.07 % (596408)------------------------------
% 7.92/2.07 % (596408)------------------------------
% 7.92/2.07 % (596413)lrs+10_64_to=lpo:sil=8000:random_seed=853203814:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 7.92/2.07 % (596407)------------------------------
% 7.92/2.07 % (596407)------------------------------
% 7.92/2.07 % (596413)Instruction limit reached!
% 7.92/2.07 % (596413)------------------------------
% 7.92/2.07 % (596413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.92/2.07 % (596413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.92/2.07 % (596413)CaDiCaL version: 2.1.3
% 7.92/2.07 % (596413)Termination reason: Instruction limit
% 7.92/2.07 % (596413)Termination phase: Saturation
% 7.92/2.07 % (596413)Time elapsed: 0.074 s
% 7.92/2.07 % (596413)Peak memory usage: 89 MB
% 7.92/2.07 % (596413)Instructions burned: 126 (million)
% 7.92/2.07 % (596414)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4269517755:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 7.92/2.07 % (596409)------------------------------
% 7.92/2.07 % (596409)------------------------------
% 7.92/2.07 % (596414)Instruction limit reached!
% 7.92/2.07 % (596414)------------------------------
% 7.92/2.07 % (596414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.92/2.07 % (596414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.92/2.07 % (596414)CaDiCaL version: 2.1.3
% 7.92/2.07 % (596414)Termination reason: Instruction limit
% 7.92/2.07 % (596414)Termination phase: Saturation
% 7.92/2.07 % (596414)Time elapsed: 0.067 s
% 7.92/2.07 % (596414)Peak memory usage: 90 MB
% 7.92/2.07 % (596414)Instructions burned: 197 (million)
% 7.92/2.07 % (596416)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3981323834:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 7.92/2.07 % (596417)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3752687528:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 7.92/2.07 % (596419)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=1613464045:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 7.92/2.07 % (596419)Refutation not found, incomplete strategy
% 7.92/2.07 % (596419)------------------------------
% 7.92/2.07 % (596419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.92/2.07 % (596419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.92/2.07 % (596419)CaDiCaL version: 2.1.3
% 7.92/2.07 % (596419)Termination reason: Refutation not found, incomplete strategy
% 7.92/2.07 % (596419)Time elapsed: 0.002 s
% 7.92/2.07 % (596419)Peak memory usage: 88 MB
% 7.92/2.07 % (596419)Instructions burned: 1 (million)
% 7.92/2.07 % (596420)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1747144215:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 7.92/2.07 % (596394)First to succeed.
% 7.92/2.07 % (596394)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-596388"
% 7.92/2.07 % (596395)Also succeeded, but the first one will report.
% 7.92/2.07 % (596393)Also succeeded, but the first one will report.
% 7.92/2.07 % (596420)Instruction limit reached!
% 7.92/2.07 % (596420)------------------------------
% 7.92/2.07 % (596420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.92/2.07 % (596420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.92/2.07 % (596420)CaDiCaL version: 2.1.3
% 7.92/2.07 % (596420)Termination reason: Instruction limit
% 7.92/2.07 % (596420)Termination phase: Saturation
% 7.92/2.07 % (596420)Time elapsed: 0.036 s
% 7.92/2.07 % (596420)Peak memory usage: 88 MB
% 7.92/2.07 % (596420)Instructions burned: 107 (million)
% 7.92/2.07 % (596416)Instruction limit reached!
% 7.92/2.07 % (596416)------------------------------
% 7.92/2.07 % (596416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.92/2.07 % (596416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.92/2.07 % (596416)CaDiCaL version: 2.1.3
% 7.92/2.07 % (596416)Termination reason: Instruction limit
% 7.92/2.07 % (596416)Termination phase: Saturation
% 7.92/2.07 % (596416)Time elapsed: 0.102 s
% 7.92/2.07 % (596416)Peak memory usage: 90 MB
% 7.92/2.07 % (596416)Instructions burned: 158 (million)
% 7.92/2.07 % (596425)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4217546591:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 7.92/2.07 % (596425)Also succeeded, but the first one will report.
% 7.92/2.07 % (596426)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1253532546:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 7.92/2.07 % (596419)------------------------------
% 7.92/2.07 % (596419)------------------------------
% 7.92/2.07 % (596394)Refutation found. Thanks to Tanya!
% 7.92/2.07 % SZS status Unsatisfiable for theBenchmark
% 7.92/2.07 % SZS output start Proof for theBenchmark
% See solution above
% 7.92/2.08 % (596394)------------------------------
% 7.92/2.08 % (596394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.92/2.08 % (596394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.92/2.08 % (596394)CaDiCaL version: 2.1.3
% 7.92/2.08 % (596394)Termination reason: Refutation
% 7.92/2.08 % (596394)Time elapsed: 0.626 s
% 7.92/2.08 % (596394)Peak memory usage: 128 MB
% 7.92/2.08 % (596394)Instructions burned: 929 (million)
% 7.92/2.08 % (596394)------------------------------
% 7.92/2.08 % (596394)------------------------------
% 7.92/2.08 % (596388)Success in time 1.042 s
% 7.92/2.08 % Vampire exiting
%------------------------------------------------------------------------------