%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO001-1 : 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 : n004.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 0.24s 2.05s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 11 unt; 0 def)
% Number of atoms : 25 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 9 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_betweeness) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_equidistance) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,X2)
| ~ between(X3,X2,X4)
| between(X0,outer_pasch(X1,X0,X3,X4,X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outer_pasch1) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,X2)
| ~ between(X3,X2,X4)
| between(X4,X1,outer_pasch(X1,X0,X3,X4,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outer_pasch2) ).
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,axiom,
between(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_between_a_and_c) ).
fof(f22,negated_conjecture,
~ between(c,b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_between_c_and_a) ).
fof(f27,plain,
! [X0,X1] :
( ~ between(X0,c,X1)
| between(a,outer_pasch(b,a,X0,X1,c),X0) ),
inference(resolution,[],[f7,f21]) ).
fof(f31,plain,
! [X0,X1] :
( ~ between(X0,c,X1)
| between(X1,b,outer_pasch(b,a,X0,X1,c)) ),
inference(resolution,[],[f8,f21]) ).
fof(f92,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(resolution,[],[f14,f5]) ).
fof(f99,plain,
! [X0,X1] : between(X1,X0,X0),
inference(superposition,[],[f13,f92]) ).
fof(f140,plain,
! [X0] : between(a,outer_pasch(b,a,X0,c,c),X0),
inference(resolution,[],[f27,f99]) ).
fof(f143,plain,
! [X0] : between(c,b,outer_pasch(b,a,X0,c,c)),
inference(resolution,[],[f31,f99]) ).
fof(f463,plain,
a = outer_pasch(b,a,a,c,c),
inference(resolution,[],[f140,f1]) ).
fof(f514,plain,
between(c,b,a),
inference(superposition,[],[f143,f463]) ).
fof(f515,plain,
$false,
inference(forward_subsumption_resolution,[],[f514,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO001-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.42 % Computer : n004.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sun Sep 27 06:29:52 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 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
% 0.24/2.05 % (3145102)Input is clausal, will run a generic CNF schedule.
% 0.24/2.05 % (3145107)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=3128662025:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.24/2.05 % (3145110)lrs+10_1_sil=8000:sp=occurrence:random_seed=2771582869:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.24/2.05 % (3145110)Refutation not found, incomplete strategy
% 0.24/2.05 % (3145110)------------------------------
% 0.24/2.05 % (3145110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.24/2.05 % (3145110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/2.05 % (3145110)CaDiCaL version: 2.1.3
% 0.24/2.05 % (3145110)Termination reason: Refutation not found, incomplete strategy
% 0.24/2.05 % (3145110)Time elapsed: 0.001 s
% 0.24/2.05 % (3145110)Peak memory usage: 87 MB
% 0.24/2.05 % (3145113)dis-21_1_sil=8000:lcm=predicate:random_seed=722846812: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)
% 0.24/2.05 % (3145109)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1138807764:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.24/2.05 % (3145108)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=516326460:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.24/2.05 % (3145112)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2291470613:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.24/2.05 % (3145111)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1512985905:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.24/2.05 % (3145112)First to succeed.
% 0.24/2.05 % (3145112)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3145102"
% 0.24/2.05 % (3145111)Instruction limit reached!
% 0.24/2.05 % (3145111)------------------------------
% 0.24/2.05 % (3145111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.24/2.05 % (3145111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/2.05 % (3145111)CaDiCaL version: 2.1.3
% 0.24/2.05 % (3145111)Termination reason: Instruction limit
% 0.24/2.05 % (3145111)Termination phase: Saturation
% 0.24/2.05 % (3145111)Time elapsed: 0.072 s
% 0.24/2.05 % (3145111)Peak memory usage: 87 MB
% 0.24/2.05 % (3145111)Instructions burned: 115 (million)
% 0.24/2.05 % (3145113)Instruction limit reached!
% 0.24/2.05 % (3145113)------------------------------
% 0.24/2.05 % (3145113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.24/2.05 % (3145113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/2.05 % (3145113)CaDiCaL version: 2.1.3
% 0.24/2.05 % (3145113)Termination reason: Instruction limit
% 0.24/2.05 % (3145113)Termination phase: Saturation
% 0.24/2.05 % (3145113)Time elapsed: 0.107 s
% 0.24/2.05 % (3145113)Peak memory usage: 88 MB
% 0.24/2.05 % (3145113)Instructions burned: 118 (million)
% 0.24/2.05 % (3145110)------------------------------
% 0.24/2.05 % (3145110)------------------------------
% 0.24/2.05 % (3145121)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=2003443060:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 0.24/2.05 % (3145121)Refutation not found, incomplete strategy
% 0.24/2.05 % (3145121)------------------------------
% 0.24/2.05 % (3145121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.24/2.05 % (3145121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/2.05 % (3145121)CaDiCaL version: 2.1.3
% 0.24/2.05 % (3145121)Termination reason: Refutation not found, incomplete strategy
% 0.24/2.05 % (3145121)Time elapsed: 0.002 s
% 0.24/2.05 % (3145121)Peak memory usage: 87 MB
% 0.24/2.05 % (3145122)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=575946464: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)
% 0.24/2.05 % (3145112)Refutation found. Thanks to Tanya!
% 0.24/2.05 % SZS status Unsatisfiable for theBenchmark
% 0.24/2.05 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/2.05 % (3145112)------------------------------
% 0.24/2.05 % (3145112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.24/2.05 % (3145112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/2.05 % (3145112)CaDiCaL version: 2.1.3
% 0.24/2.05 % (3145112)Termination reason: Refutation
% 0.24/2.05 % (3145112)Time elapsed: 0.021 s
% 0.24/2.05 % (3145112)Peak memory usage: 88 MB
% 0.24/2.05 % (3145112)Instructions burned: 17 (million)
% 0.24/2.05 % (3145112)------------------------------
% 0.24/2.05 % (3145112)------------------------------
% 0.24/2.05 % (3145102)Success in time 0.719 s
% 0.24/2.05 % Vampire exiting
%------------------------------------------------------------------------------