%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO039-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 09:51:18 AM UTC 2026
% Result : Unsatisfiable 3.44s 1.47s
% Output : Refutation 3.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 13 ( 11 unt; 0 def)
% Number of atoms : 15 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X2,X0,X1] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_equidistance) ).
fof(f4,axiom,
! [X2,X3,X0,X1] : between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction1) ).
fof(f5,axiom,
! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction2) ).
fof(f7,axiom,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_betweeness) ).
fof(f19,axiom,
between(u,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_between_u_and_x) ).
fof(f20,axiom,
u = x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_is_x) ).
fof(f21,negated_conjecture,
~ between(v,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary) ).
fof(f22,plain,
between(x,w,x),
inference(forward_demodulation,[],[f19,f20]) ).
fof(f23,plain,
w = x,
inference(resolution,[],[f7,f22]) ).
fof(f25,plain,
~ between(v,x,x),
inference(superposition,[],[f21,f23]) ).
fof(f30,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(resolution,[],[f5,f3]) ).
fof(f32,plain,
! [X0,X1] : between(X1,X0,X0),
inference(superposition,[],[f4,f30]) ).
fof(f35,plain,
$false,
inference(resolution,[],[f32,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO039-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n017.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 06:35:20 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.44/1.47 % (2192768)Input is clausal, will run a generic CNF schedule.
% 3.44/1.47 % (2192775)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1705157493:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.44/1.47 % (2192774)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2610792672:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.44/1.47 % (2192778)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1747573435:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.44/1.47 % (2192773)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=42071:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.44/1.47 % (2192778)First to succeed.
% 3.44/1.47 % (2192778)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2192768"
% 3.44/1.47 % (2192776)lrs+10_1_sil=8000:sp=occurrence:random_seed=3626427932:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.44/1.47 % (2192779)dis-21_1_sil=8000:lcm=predicate:random_seed=838466503: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)
% 3.44/1.47 % (2192777)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=236937585:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.44/1.47 % (2192779)Refutation not found, incomplete strategy
% 3.44/1.47 % (2192779)------------------------------
% 3.44/1.47 % (2192779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.44/1.47 % (2192779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.47 % (2192779)CaDiCaL version: 2.1.3
% 3.44/1.47 % (2192779)Termination reason: Refutation not found, incomplete strategy
% 3.44/1.47 % (2192779)Time elapsed: 0.001 s
% 3.44/1.47 % (2192779)Peak memory usage: 88 MB
% 3.44/1.47 % (2192779)Instructions burned: 1 (million)
% 3.44/1.47 % (2192776)Also succeeded, but the first one will report.
% 3.44/1.47 % (2192777)Instruction limit reached!
% 3.44/1.47 % (2192777)------------------------------
% 3.44/1.47 % (2192777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.44/1.47 % (2192777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.47 % (2192777)CaDiCaL version: 2.1.3
% 3.44/1.47 % (2192777)Termination reason: Instruction limit
% 3.44/1.47 % (2192777)Termination phase: Saturation
% 3.44/1.47 % (2192777)Time elapsed: 0.063 s
% 3.44/1.47 % (2192777)Peak memory usage: 88 MB
% 3.44/1.47 % (2192777)Instructions burned: 116 (million)
% 3.44/1.47 % (2192787)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=966896661:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.44/1.47 % (2192787)Refutation not found, incomplete strategy
% 3.44/1.47 % (2192787)------------------------------
% 3.44/1.47 % (2192787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.44/1.47 % (2192787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.47 % (2192787)CaDiCaL version: 2.1.3
% 3.44/1.47 % (2192787)Termination reason: Refutation not found, incomplete strategy
% 3.44/1.47 % (2192787)Time elapsed: 0.002 s
% 3.44/1.47 % (2192787)Peak memory usage: 88 MB
% 3.44/1.47 % (2192787)Instructions burned: 1 (million)
% 3.44/1.47 % (2192779)------------------------------
% 3.44/1.47 % (2192779)------------------------------
% 3.44/1.47 % (2192778)Refutation found. Thanks to Tanya!
% 3.44/1.47 % SZS status Unsatisfiable for theBenchmark
% 3.44/1.47 % SZS output start Proof for theBenchmark
% See solution above
% 3.44/1.47 % (2192778)------------------------------
% 3.44/1.47 % (2192778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.44/1.47 % (2192778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.47 % (2192778)CaDiCaL version: 2.1.3
% 3.44/1.47 % (2192778)Termination reason: Refutation
% 3.44/1.47 % (2192778)Time elapsed: 0.003 s
% 3.44/1.47 % (2192778)Peak memory usage: 88 MB
% 3.44/1.47 % (2192778)Instructions burned: 2 (million)
% 3.44/1.47 % (2192778)------------------------------
% 3.44/1.47 % (2192778)------------------------------
% 3.44/1.47 % (2192768)Success in time 0.406 s
% 3.44/1.47 % Vampire exiting
%------------------------------------------------------------------------------