%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO045-3 : 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 : n003.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 09:51:20 AM UTC 2026
% Result : Unsatisfiable 3.25s 1.26s
% Output : Refutation 3.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 9 unt; 0 def)
% Number of atoms : 20 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,axiom,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| between(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).
fof(f61,axiom,
! [X2,X3,X0,X1] :
( ~ between(X1,X2,X3)
| ~ between(X0,X1,X2)
| between(X0,X2,X3)
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b6) ).
fof(f62,axiom,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f63,axiom,
between(v,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_between_v_and_x) ).
fof(f64,axiom,
v != w,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_not_w) ).
fof(f65,negated_conjecture,
~ between(u,v,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_between_u_and_x) ).
fof(f69,plain,
between(w,v,u),
inference(resolution,[],[f53,f62]) ).
fof(f70,plain,
between(x,w,v),
inference(resolution,[],[f53,f63]) ).
fof(f131,plain,
! [X0] :
( ~ between(X0,w,v)
| between(X0,v,u)
| v = w ),
inference(resolution,[],[f61,f69]) ).
fof(f137,plain,
! [X0] :
( ~ between(X0,w,v)
| between(X0,v,u) ),
inference(forward_subsumption_resolution,[],[f131,f64]) ).
fof(f216,plain,
between(x,v,u),
inference(resolution,[],[f137,f70]) ).
fof(f221,plain,
between(u,v,x),
inference(resolution,[],[f216,f53]) ).
fof(f222,plain,
$false,
inference(forward_subsumption_resolution,[],[f221,f65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO045-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n003.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 06:43:56 UTC 2026
% 0.11/0.41 % CPUTime :
% 0.11/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.44 Running first-order theorem proving
% 0.11/0.44 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
% 3.25/1.26 % (148086)Input is clausal, will run a generic CNF schedule.
% 3.25/1.26 % (148156)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2727442291:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.25/1.26 % (148153)lrs+10_1_sil=8000:sp=occurrence:random_seed=1524928643:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.25/1.26 % (148151)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3953538624:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.25/1.26 % (148150)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3268762827:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.25/1.26 % (148148)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=3820431727:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.25/1.26 % (148157)dis-21_1_sil=8000:lcm=predicate:random_seed=3425536589: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)
% 3.25/1.26 % (148154)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=177206563:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.25/1.26 % (148153)First to succeed.
% 3.25/1.26 % (148153)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-148086"
% 3.25/1.26 % (148154)Also succeeded, but the first one will report.
% 3.25/1.26 % (148156)Instruction limit reached!
% 3.25/1.26 % (148156)------------------------------
% 3.25/1.26 % (148156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.25/1.26 % (148156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/1.26 % (148156)CaDiCaL version: 2.1.3
% 3.25/1.26 % (148156)Termination reason: Instruction limit
% 3.25/1.26 % (148156)Termination phase: Saturation
% 3.25/1.26 % (148156)Time elapsed: 0.062 s
% 3.25/1.26 % (148156)Peak memory usage: 89 MB
% 3.25/1.26 % (148156)Instructions burned: 182 (million)
% 3.25/1.26 % (148157)Instruction limit reached!
% 3.25/1.26 % (148157)------------------------------
% 3.25/1.26 % (148157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.25/1.26 % (148157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/1.26 % (148157)CaDiCaL version: 2.1.3
% 3.25/1.26 % (148157)Termination reason: Instruction limit
% 3.25/1.26 % (148157)Termination phase: Saturation
% 3.25/1.26 % (148157)Time elapsed: 0.070 s
% 3.25/1.26 % (148157)Peak memory usage: 88 MB
% 3.25/1.26 % (148157)Instructions burned: 117 (million)
% 3.25/1.26 % (148197)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=1847214803:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.25/1.26 % (148197)Also succeeded, but the first one will report.
% 3.25/1.26 % (148201)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3665929092: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)
% 3.25/1.26 % (148201)Also succeeded, but the first one will report.
% 3.25/1.26 % (148153)Refutation found. Thanks to Tanya!
% 3.25/1.26 % SZS status Unsatisfiable for theBenchmark
% 3.25/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.25/1.26 % (148153)------------------------------
% 3.25/1.26 % (148153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.25/1.26 % (148153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/1.26 % (148153)CaDiCaL version: 2.1.3
% 3.25/1.26 % (148153)Termination reason: Refutation
% 3.25/1.26 % (148153)Time elapsed: 0.004 s
% 3.25/1.26 % (148153)Peak memory usage: 88 MB
% 3.25/1.26 % (148153)Instructions burned: 3 (million)
% 3.25/1.26 % (148153)------------------------------
% 3.25/1.26 % (148153)------------------------------
% 3.25/1.26 % (148086)Success in time 0.417 s
% 3.25/1.26 % Vampire exiting
%------------------------------------------------------------------------------