%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO003-3 : 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 : n016.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 09:51:08 AM UTC 2026
% Result : Unsatisfiable 3.49s 1.43s
% Output : Refutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 6 ( 6 unt; 0 def)
% Number of atoms : 6 ( 2 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-4 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f29,axiom,
! [X2,X0,X1] : X0 = extension(X1,X0,X2,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e1) ).
fof(f30,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(reorient_equations,[],[f29]) ).
fof(f51,negated_conjecture,
~ between(a,b,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_between_a_and_b) ).
fof(f58,plain,
! [X0,X1] : between(X1,X0,X0),
inference(superposition,[],[f4,f30]) ).
fof(f61,plain,
$false,
inference(resolution,[],[f58,f51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO003-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n016.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 06:34:17 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 3.49/1.43 % (2268542)Input is clausal, will run a generic CNF schedule.
% 3.49/1.43 % (2268551)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2631590830:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.49/1.43 % (2268548)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=266361364:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.49/1.43 % (2268551)Instruction limit reached!
% 3.49/1.43 % (2268551)------------------------------
% 3.49/1.43 % (2268551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.43 % (2268551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.43 % (2268551)CaDiCaL version: 2.1.3
% 3.49/1.43 % (2268551)Termination reason: Instruction limit
% 3.49/1.43 % (2268551)Termination phase: Saturation
% 3.49/1.43 % (2268551)Time elapsed: 0.033 s
% 3.49/1.43 % (2268551)Peak memory usage: 88 MB
% 3.49/1.43 % (2268551)Instructions burned: 117 (million)
% 3.49/1.43 % (2268552)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=501654209:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.49/1.43 % (2268547)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=97221535:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.49/1.43 % (2268552)First to succeed.
% 3.49/1.43 % (2268552)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2268542"
% 3.49/1.43 % (2268549)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=482252218:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.49/1.43 % (2268550)lrs+10_1_sil=8000:sp=occurrence:random_seed=3874212818:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.49/1.43 % (2268550)Refutation not found, incomplete strategy
% 3.49/1.43 % (2268550)------------------------------
% 3.49/1.43 % (2268550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.43 % (2268550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.43 % (2268550)CaDiCaL version: 2.1.3
% 3.49/1.43 % (2268550)Termination reason: Refutation not found, incomplete strategy
% 3.49/1.43 % (2268550)Time elapsed: 0.001 s
% 3.49/1.43 % (2268550)Peak memory usage: 87 MB
% 3.49/1.43 % (2268550)Instructions burned: 1 (million)
% 3.49/1.43 % (2268553)dis-21_1_sil=8000:lcm=predicate:random_seed=2133218031: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)
% 3.49/1.43 % (2268553)Instruction limit reached!
% 3.49/1.43 % (2268553)------------------------------
% 3.49/1.43 % (2268553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.43 % (2268553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.43 % (2268553)CaDiCaL version: 2.1.3
% 3.49/1.43 % (2268553)Termination reason: Instruction limit
% 3.49/1.43 % (2268553)Termination phase: Saturation
% 3.49/1.43 % (2268553)Time elapsed: 0.055 s
% 3.49/1.43 % (2268553)Peak memory usage: 88 MB
% 3.49/1.43 % (2268553)Instructions burned: 117 (million)
% 3.49/1.43 % (2268556)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=4154037847:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.49/1.43 % (2268556)Refutation not found, incomplete strategy
% 3.49/1.43 % (2268556)------------------------------
% 3.49/1.43 % (2268556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.43 % (2268556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.43 % (2268556)CaDiCaL version: 2.1.3
% 3.49/1.43 % (2268556)Termination reason: Refutation not found, incomplete strategy
% 3.49/1.43 % (2268556)Time elapsed: 0.0000 s
% 3.49/1.43 % (2268556)Peak memory usage: 87 MB
% 3.49/1.43 % (2268556)------------------------------
% 3.49/1.43 % (2268556)------------------------------
% 3.49/1.43 % (2268562)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=166679320: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)
% 3.49/1.43 % (2268562)Refutation not found, incomplete strategy
% 3.49/1.43 % (2268562)------------------------------
% 3.49/1.43 % (2268562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.43 % (2268562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.43 % (2268562)CaDiCaL version: 2.1.3
% 3.49/1.43 % (2268562)Termination reason: Refutation not found, incomplete strategy
% 3.49/1.43 % (2268562)Time elapsed: 0.003 s
% 3.49/1.43 % (2268562)Peak memory usage: 88 MB
% 3.49/1.43 % (2268562)Instructions burned: 3 (million)
% 3.49/1.43 % (2268550)------------------------------
% 3.49/1.43 % (2268550)------------------------------
% 3.49/1.43 % (2268552)Refutation found. Thanks to Tanya!
% 3.49/1.43 % SZS status Unsatisfiable for theBenchmark
% 3.49/1.43 % SZS output start Proof for theBenchmark
% See solution above
% 3.49/1.43 % (2268552)------------------------------
% 3.49/1.43 % (2268552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.43 % (2268552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.43 % (2268552)CaDiCaL version: 2.1.3
% 3.49/1.43 % (2268552)Termination reason: Refutation
% 3.49/1.43 % (2268552)Time elapsed: 0.003 s
% 3.49/1.43 % (2268552)Peak memory usage: 88 MB
% 3.49/1.43 % (2268552)Instructions burned: 2 (million)
% 3.49/1.43 % (2268552)------------------------------
% 3.49/1.43 % (2268552)------------------------------
% 3.49/1.43 % (2268542)Success in time 0.407 s
% 3.49/1.43 % Vampire exiting
%------------------------------------------------------------------------------