%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO054-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 09:51:22 AM UTC 2026
% Result : Unsatisfiable 3.59s 16.49s
% Output : Refutation 3.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 5 ( 5 unt; 0 def)
% Number of atoms : 5 ( 1 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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 : 4 ( 4 usr; 2 con; 0-4 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X2,X3,X0,X1] : between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction1) ).
fof(f19,axiom,
! [X0,X1] : reflection(X0,X1) = extension(X0,X1,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflection) ).
fof(f33,negated_conjecture,
~ between(u,v,reflection(u,v)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_v_between_u_and_reflection) ).
fof(f34,plain,
~ between(u,v,extension(u,v,u,v)),
inference(definition_unfolding,[],[f33,f19]) ).
fof(f36,plain,
$false,
inference(forward_subsumption_resolution,[],[f34,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO054-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/15.39 % Computer : n006.cluster.edu
% 0.11/15.39 % Model : x86_64 x86_64
% 0.11/15.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/15.39 % Memory : 8046.5625MB
% 0.11/15.39 % OS : Linux 6.8.0-71-generic
% 0.11/15.40 % CPULimit : 300
% 0.11/15.40 % WCLimit : 300
% 0.11/15.40 % DateTime : Sun Sep 27 06:45:15 UTC 2026
% 0.15/15.40 % CPUTime :
% 0.15/15.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/15.43 Running first-order theorem proving
% 0.15/15.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.59/16.49 % (2641955)Input is clausal, will run a generic CNF schedule.
% 3.59/16.49 % (2641962)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4217539111:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.59/16.49 % (2641963)lrs+10_1_sil=8000:sp=occurrence:random_seed=2160548332:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.59/16.49 % (2641960)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=139333127:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.59/16.49 % (2641961)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1777892332:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.59/16.49 % (2641963)First to succeed.
% 3.59/16.49 % (2641963)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2641955"
% 3.59/16.49 % (2641966)dis-21_1_sil=8000:lcm=predicate:random_seed=1307461663: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)
% 3.59/16.49 % (2641964)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=175530914:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.59/16.49 % (2641965)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1713238553:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.59/16.49 % (2641966)Also succeeded, but the first one will report.
% 3.59/16.49 % (2641964)Also succeeded, but the first one will report.
% 3.59/16.49 % (2641965)Also succeeded, but the first one will report.
% 3.59/16.49 % (2641963)Refutation found. Thanks to Tanya!
% 3.59/16.49 % SZS status Unsatisfiable for theBenchmark
% 3.59/16.49 % SZS output start Proof for theBenchmark
% See solution above
% 3.59/16.49 % (2641963)------------------------------
% 3.59/16.49 % (2641963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/16.49 % (2641963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/16.49 % (2641963)CaDiCaL version: 2.1.3
% 3.59/16.49 % (2641963)Termination reason: Refutation
% 3.59/16.49 % (2641963)Time elapsed: 0.002 s
% 3.59/16.49 % (2641963)Peak memory usage: 88 MB
% 3.59/16.49 % (2641963)Instructions burned: 1 (million)
% 3.59/16.49 % (2641963)------------------------------
% 3.59/16.49 % (2641963)------------------------------
% 3.59/16.49 % (2641955)Success in time 0.429 s
% 3.59/16.49 % Vampire exiting
%------------------------------------------------------------------------------