%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO003-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 5.03s 1.88s
% Output : Refutation 5.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 6 unt; 0 def)
% Number of atoms : 8 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 3 ( 2 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-4 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X2,X0,X1] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_equidistance) ).
fof(f13,axiom,
! [X2,X3,X0,X1] : between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction1) ).
fof(f14,axiom,
! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction2) ).
fof(f21,negated_conjecture,
~ between(a,b,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_between_a_and_b) ).
fof(f43,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(resolution,[],[f14,f5]) ).
fof(f48,plain,
! [X0,X1] : between(X1,X0,X0),
inference(superposition,[],[f13,f43]) ).
fof(f62,plain,
$false,
inference(resolution,[],[f48,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO003-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.41 % Computer : n013.cluster.edu
% 0.17/0.41 % Model : x86_64 x86_64
% 0.17/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.41 % Memory : 8046.5625MB
% 0.17/0.41 % OS : Linux 6.8.0-71-generic
% 0.17/0.41 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Sun Sep 27 06:28:52 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.47 Running first-order theorem proving
% 0.17/0.47 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
% 5.03/1.88 % (4058217)Input is clausal, will run a generic CNF schedule.
% 5.03/1.88 % (4058234)lrs+10_1_sil=8000:sp=occurrence:random_seed=1006253349:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.03/1.88 % (4058234)Refutation not found, incomplete strategy
% 5.03/1.88 % (4058234)------------------------------
% 5.03/1.88 % (4058234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.03/1.88 % (4058234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.03/1.88 % (4058234)CaDiCaL version: 2.1.3
% 5.03/1.88 % (4058234)Termination reason: Refutation not found, incomplete strategy
% 5.03/1.88 % (4058234)Time elapsed: 0.001 s
% 5.03/1.88 % (4058234)Peak memory usage: 87 MB
% 5.03/1.88 % (4058232)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3764168254:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.03/1.88 % (4058236)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=933683995:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.03/1.88 % (4058236)First to succeed.
% 5.03/1.88 % (4058236)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4058217"
% 5.03/1.88 % (4058237)dis-21_1_sil=8000:lcm=predicate:random_seed=2247515745: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)
% 5.03/1.88 % (4058235)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=464102618:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.03/1.88 % (4058233)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3106106142:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.03/1.88 % (4058231)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=1267870784:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.03/1.88 % (4058235)Refutation not found, incomplete strategy
% 5.03/1.88 % (4058235)------------------------------
% 5.03/1.88 % (4058235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.03/1.88 % (4058235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.03/1.88 % (4058235)CaDiCaL version: 2.1.3
% 5.03/1.88 % (4058235)Termination reason: Refutation not found, incomplete strategy
% 5.03/1.88 % (4058235)Time elapsed: 0.002 s
% 5.03/1.88 % (4058235)Peak memory usage: 88 MB
% 5.03/1.88 % (4058237)Instruction limit reached!
% 5.03/1.88 % (4058237)------------------------------
% 5.03/1.88 % (4058237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.03/1.88 % (4058237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.03/1.88 % (4058237)CaDiCaL version: 2.1.3
% 5.03/1.88 % (4058237)Termination reason: Instruction limit
% 5.03/1.88 % (4058237)Termination phase: Saturation
% 5.03/1.88 % (4058237)Time elapsed: 0.105 s
% 5.03/1.88 % (4058237)Peak memory usage: 89 MB
% 5.03/1.88 % (4058237)Instructions burned: 117 (million)
% 5.03/1.88 % (4058234)------------------------------
% 5.03/1.88 % (4058234)------------------------------
% 5.03/1.88 % (4058251)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=2729391006:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 5.03/1.88 % (4058251)Refutation not found, incomplete strategy
% 5.03/1.88 % (4058251)------------------------------
% 5.03/1.88 % (4058251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.03/1.88 % (4058251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.03/1.88 % (4058251)CaDiCaL version: 2.1.3
% 5.03/1.88 % (4058251)Termination reason: Refutation not found, incomplete strategy
% 5.03/1.88 % (4058251)Time elapsed: 0.001 s
% 5.03/1.88 % (4058251)Peak memory usage: 87 MB
% 5.03/1.88 % (4058252)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3931833985:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 5.03/1.88 % (4058236)Refutation found. Thanks to Tanya!
% 5.03/1.88 % SZS status Unsatisfiable for theBenchmark
% 5.03/1.88 % SZS output start Proof for theBenchmark
% See solution above
% 5.03/1.88 % (4058236)------------------------------
% 5.03/1.88 % (4058236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.03/1.88 % (4058236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.03/1.88 % (4058236)CaDiCaL version: 2.1.3
% 5.03/1.88 % (4058236)Termination reason: Refutation
% 5.03/1.88 % (4058236)Time elapsed: 0.005 s
% 5.03/1.88 % (4058236)Peak memory usage: 88 MB
% 5.03/1.88 % (4058236)Instructions burned: 2 (million)
% 5.03/1.88 % (4058236)------------------------------
% 5.03/1.88 % (4058236)------------------------------
% 5.03/1.88 % (4058217)Success in time 0.59 s
% 5.03/1.88 % Vampire exiting
%------------------------------------------------------------------------------