%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO001-2 : 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 : n002.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 09:51:07 AM UTC 2026
% Result : Unsatisfiable 0.63s 1.00s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 31 ( 4 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 33 ( 18 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-5 aty)
% Number of variables : 41 ( 41 !; 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(f8,axiom,
! [X2,X3,X0,X1,X4] :
( between(X1,inner_pasch(X0,X1,X2,X4,X3),X3)
| ~ between(X3,X4,X2)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_pasch1) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X4] :
( between(X4,inner_pasch(X0,X1,X2,X4,X3),X0)
| ~ between(X3,X4,X2)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_pasch2) ).
fof(f19,axiom,
between(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_between_a_and_c) ).
fof(f20,negated_conjecture,
~ between(c,b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_between_c_and_a) ).
fof(f22,plain,
! [X2,X3,X0,X1] :
( inner_pasch(X3,X0,X2,X1,X0) = X0
| ~ between(X3,X0,X2)
| ~ between(X0,X1,X2) ),
inference(resolution,[],[f8,f7]) ).
fof(f23,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(resolution,[],[f5,f3]) ).
fof(f26,plain,
! [X0,X1] : between(X1,X0,X0),
inference(superposition,[],[f4,f23]) ).
fof(f68,plain,
! [X2,X3,X0,X1] :
( between(X1,X0,X2)
| ~ between(X0,X1,X3)
| ~ between(X2,X0,X3)
| ~ between(X2,X0,X3)
| ~ between(X0,X1,X3) ),
inference(superposition,[],[f9,f22]) ).
fof(f71,plain,
! [X2,X3,X0,X1] :
( between(X1,X0,X2)
| ~ between(X0,X1,X3)
| ~ between(X2,X0,X3) ),
inference(duplicate_literal_removal,[],[f68]) ).
fof(f176,plain,
! [X0] :
( ~ between(b,c,X0)
| ~ between(a,b,X0) ),
inference(resolution,[],[f71,f20]) ).
fof(f194,plain,
~ between(a,b,c),
inference(resolution,[],[f176,f26]) ).
fof(f200,plain,
$false,
inference(forward_subsumption_resolution,[],[f194,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO001-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n002.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 06:32:36 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.63/1.00 % (3177929)Input is clausal, will run a generic CNF schedule.
% 0.63/1.00 % (3177939)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3290927140:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.63/1.00 % (3177939)First to succeed.
% 0.63/1.00 % (3177939)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3177929"
% 0.63/1.00 % (3177935)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3893231749:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.63/1.00 % (3177936)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2898297908:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.63/1.00 % (3177940)dis-21_1_sil=8000:lcm=predicate:random_seed=3332031724: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)
% 0.63/1.00 % (3177937)lrs+10_1_sil=8000:sp=occurrence:random_seed=2185962386:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.63/1.00 % (3177934)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=2201359915:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.63/1.00 % (3177938)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1377115554:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.63/1.00 % (3177937)Refutation not found, incomplete strategy
% 0.63/1.00 % (3177937)------------------------------
% 0.63/1.00 % (3177937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.63/1.00 % (3177938)Refutation not found, incomplete strategy
% 0.63/1.00 % (3177938)------------------------------
% 0.63/1.00 % (3177938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.63/1.00 % (3177938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/1.00 % (3177937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/1.00 % (3177938)CaDiCaL version: 2.1.3
% 0.63/1.00 % (3177937)CaDiCaL version: 2.1.3
% 0.63/1.00 % (3177937)Termination reason: Refutation not found, incomplete strategy
% 0.63/1.00 % (3177937)Time elapsed: 0.001 s
% 0.63/1.00 % (3177938)Termination reason: Refutation not found, incomplete strategy
% 0.63/1.00 % (3177938)Time elapsed: 0.001 s
% 0.63/1.00 % (3177938)Peak memory usage: 87 MB
% 0.63/1.00 % (3177937)Peak memory usage: 87 MB
% 0.63/1.00 % (3177940)Refutation not found, incomplete strategy
% 0.63/1.00 % (3177940)------------------------------
% 0.63/1.00 % (3177940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.63/1.00 % (3177940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/1.00 % (3177940)CaDiCaL version: 2.1.3
% 0.63/1.00 % (3177940)Termination reason: Refutation not found, incomplete strategy
% 0.63/1.00 % (3177940)Time elapsed: 0.001 s
% 0.63/1.00 % (3177940)Peak memory usage: 88 MB
% 0.63/1.00 % (3177940)Instructions burned: 1 (million)
% 0.63/1.00 % (3177939)Refutation found. Thanks to Tanya!
% 0.63/1.00 % SZS status Unsatisfiable for theBenchmark
% 0.63/1.00 % SZS output start Proof for theBenchmark
% See solution above
% 0.63/1.00 % (3177939)------------------------------
% 0.63/1.00 % (3177939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.63/1.00 % (3177939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/1.00 % (3177939)CaDiCaL version: 2.1.3
% 0.63/1.00 % (3177939)Termination reason: Refutation
% 0.63/1.00 % (3177939)Time elapsed: 0.006 s
% 0.63/1.00 % (3177939)Peak memory usage: 88 MB
% 0.63/1.00 % (3177939)Instructions burned: 14 (million)
% 0.63/1.00 % (3177939)------------------------------
% 0.63/1.00 % (3177939)------------------------------
% 0.63/1.00 % (3177929)Success in time 0.293 s
% 0.63/1.00 % Vampire exiting
%------------------------------------------------------------------------------