%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO028-3 : 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 : n017.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 09:51:15 AM UTC 2026
% Result : Unsatisfiable 5.44s 1.74s
% Output : Refutation 5.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of formulae : 14 ( 11 unt; 0 def)
% Number of atoms : 22 ( 4 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 20 ( 12 ~; 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 : 7 ( 7 usr; 6 con; 0-4 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(f20,axiom,
! [X0,X1] : equidistant(X0,X1,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1) ).
fof(f28,axiom,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(X0,X1,X4,X5)
| ~ equidistant(X2,X3,X4,X5)
| ~ equidistant(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5) ).
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(f44,axiom,
equidistant(w,x,y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_to_x_equals_y_to_z) ).
fof(f45,axiom,
u != v,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_not_v) ).
fof(f46,negated_conjecture,
extension(u,v,w,x) != extension(u,v,y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equal_extensions) ).
fof(f436,plain,
~ equidistant(v,extension(u,v,y,z),v,extension(u,v,w,x)),
inference(unit_resulting_resolution,[],[f43,f4,f46,f4,f45]) ).
fof(f637,plain,
! [X0,X1] : equidistant(X0,extension(X1,X0,w,x),y,z),
inference(unit_resulting_resolution,[],[f28,f5,f44]) ).
fof(f690,plain,
~ equidistant(y,z,v,extension(u,v,w,x)),
inference(unit_resulting_resolution,[],[f28,f5,f436]) ).
fof(f702,plain,
~ equidistant(v,extension(u,v,w,x),y,z),
inference(unit_resulting_resolution,[],[f2,f20,f690]) ).
fof(f717,plain,
$false,
inference(forward_subsumption_resolution,[],[f702,f637]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO028-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n017.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 06:32:49 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 5.44/1.74 % (2189147)Input is clausal, will run a generic CNF schedule.
% 5.44/1.74 % (2189259)dis-21_1_sil=8000:lcm=predicate:random_seed=1109802626: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)
% 5.44/1.74 % (2189257)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3475831385:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.44/1.74 % (2189254)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3394462745:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.44/1.74 % (2189258)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4265559531:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.44/1.74 % (2189255)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3355641563:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.44/1.74 % (2189253)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=327274397:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.44/1.74 % (2189259)Instruction limit reached!
% 5.44/1.74 % (2189259)------------------------------
% 5.44/1.74 % (2189259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.44/1.74 % (2189259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.74 % (2189259)CaDiCaL version: 2.1.3
% 5.44/1.74 % (2189259)Termination reason: Instruction limit
% 5.44/1.74 % (2189259)Termination phase: Saturation
% 5.44/1.74 % (2189259)Time elapsed: 0.036 s
% 5.44/1.74 % (2189259)Peak memory usage: 89 MB
% 5.44/1.74 % (2189259)Instructions burned: 118 (million)
% 5.44/1.74 % (2189256)lrs+10_1_sil=8000:sp=occurrence:random_seed=2672249791:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.44/1.74 % (2189257)Instruction limit reached!
% 5.44/1.74 % (2189257)------------------------------
% 5.44/1.74 % (2189257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.44/1.74 % (2189257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.74 % (2189257)CaDiCaL version: 2.1.3
% 5.44/1.74 % (2189257)Termination reason: Instruction limit
% 5.44/1.74 % (2189257)Termination phase: Saturation
% 5.44/1.74 % (2189257)Time elapsed: 0.065 s
% 5.44/1.74 % (2189257)Peak memory usage: 88 MB
% 5.44/1.74 % (2189257)Instructions burned: 114 (million)
% 5.44/1.74 % (2189258)Instruction limit reached!
% 5.44/1.74 % (2189258)------------------------------
% 5.44/1.74 % (2189258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.44/1.74 % (2189258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.74 % (2189258)CaDiCaL version: 2.1.3
% 5.44/1.74 % (2189258)Termination reason: Instruction limit
% 5.44/1.74 % (2189258)Termination phase: Saturation
% 5.44/1.74 % (2189258)Time elapsed: 0.100 s
% 5.44/1.74 % (2189258)Peak memory usage: 89 MB
% 5.44/1.74 % (2189258)Instructions burned: 182 (million)
% 5.44/1.74 % (2189256)Instruction limit reached!
% 5.44/1.74 % (2189256)------------------------------
% 5.44/1.74 % (2189256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.44/1.74 % (2189256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.74 % (2189256)CaDiCaL version: 2.1.3
% 5.44/1.74 % (2189256)Termination reason: Instruction limit
% 5.44/1.74 % (2189256)Termination phase: Saturation
% 5.44/1.74 % (2189256)Time elapsed: 0.072 s
% 5.44/1.74 % (2189256)Peak memory usage: 89 MB
% 5.44/1.74 % (2189256)Instructions burned: 108 (million)
% 5.44/1.74 % (2189266)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=2714174359:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 5.44/1.74 % (2189266)Instruction limit reached!
% 5.44/1.74 % (2189266)------------------------------
% 5.44/1.74 % (2189266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.44/1.74 % (2189266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.74 % (2189266)CaDiCaL version: 2.1.3
% 5.44/1.74 % (2189266)Termination reason: Instruction limit
% 5.44/1.74 % (2189266)Termination phase: Saturation
% 5.44/1.74 % (2189266)Time elapsed: 0.072 s
% 5.44/1.74 % (2189266)Peak memory usage: 89 MB
% 5.44/1.74 % (2189266)Instructions burned: 146 (million)
% 5.44/1.74 % (2189271)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3627509291: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)
% 5.44/1.74 % (2189271)First to succeed.
% 5.44/1.74 % (2189271)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2189147"
% 5.44/1.74 % (2189276)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1201579584:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.44/1.74 % (2189278)lrs+10_64_to=lpo:sil=8000:random_seed=1158809652:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 5.44/1.74 % (2189276)Refutation not found, incomplete strategy
% 5.44/1.74 % (2189276)------------------------------
% 5.44/1.74 % (2189276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.44/1.74 % (2189276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.74 % (2189276)CaDiCaL version: 2.1.3
% 5.44/1.74 % (2189276)Termination reason: Refutation not found, incomplete strategy
% 5.44/1.74 % (2189276)Time elapsed: 0.002 s
% 5.44/1.74 % (2189276)Peak memory usage: 87 MB
% 5.44/1.74 % (2189276)Instructions burned: 1 (million)
% 5.44/1.74 % (2189300)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1622818763:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 5.44/1.74 % (2189278)Instruction limit reached!
% 5.44/1.74 % (2189278)------------------------------
% 5.44/1.74 % (2189278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.44/1.74 % (2189278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.74 % (2189278)CaDiCaL version: 2.1.3
% 5.44/1.74 % (2189278)Termination reason: Instruction limit
% 5.44/1.74 % (2189278)Termination phase: Saturation
% 5.44/1.74 % (2189278)Time elapsed: 0.075 s
% 5.44/1.74 % (2189278)Peak memory usage: 88 MB
% 5.44/1.74 % (2189278)Instructions burned: 127 (million)
% 5.44/1.74 % (2189300)Instruction limit reached!
% 5.44/1.74 % (2189300)------------------------------
% 5.44/1.74 % (2189300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.44/1.74 % (2189300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.74 % (2189300)CaDiCaL version: 2.1.3
% 5.44/1.74 % (2189300)Termination reason: Instruction limit
% 5.44/1.74 % (2189300)Termination phase: Saturation
% 5.44/1.74 % (2189300)Time elapsed: 0.065 s
% 5.44/1.74 % (2189300)Peak memory usage: 90 MB
% 5.44/1.74 % (2189300)Instructions burned: 194 (million)
% 5.44/1.74 % (2189328)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2676893550:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 5.44/1.74 % (2189322)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=284575770:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 5.44/1.74 % (2189276)------------------------------
% 5.44/1.74 % (2189276)------------------------------
% 5.44/1.74 % (2189271)Refutation found. Thanks to Tanya!
% 5.44/1.74 % SZS status Unsatisfiable for theBenchmark
% 5.44/1.74 % SZS output start Proof for theBenchmark
% See solution above
% 5.44/1.74 % (2189271)------------------------------
% 5.44/1.74 % (2189271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.44/1.74 % (2189271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.74 % (2189271)CaDiCaL version: 2.1.3
% 5.44/1.74 % (2189271)Termination reason: Refutation
% 5.44/1.74 % (2189271)Time elapsed: 0.028 s
% 5.44/1.74 % (2189271)Peak memory usage: 89 MB
% 5.44/1.74 % (2189271)Instructions burned: 52 (million)
% 5.44/1.74 % (2189271)------------------------------
% 5.44/1.74 % (2189271)------------------------------
% 5.44/1.74 % (2189147)Success in time 0.682 s
% 5.44/1.74 % Vampire exiting
%------------------------------------------------------------------------------