%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO058-3 : 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 : n015.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 09:51:23 AM UTC 2026
% Result : Unsatisfiable 2.67s 1.14s
% Output : Refutation 2.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 10 ( 7 unt; 0 def)
% Number of atoms : 13 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 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(f21,axiom,
! [X2,X3,X0,X1] :
( equidistant(X2,X3,X0,X1)
| ~ equidistant(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2) ).
fof(f34,axiom,
! [X0,X1] : equidistant(X0,reflection(X1,X0),X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r2_2) ).
fof(f39,axiom,
v = reflection(u,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_equals_reflection) ).
fof(f40,negated_conjecture,
u != v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_u_equals_v) ).
fof(f41,plain,
v != u,
inference(reorient_equations,[],[f40]) ).
fof(f54,plain,
equidistant(v,v,u,v),
inference(superposition,[],[f34,f39]) ).
fof(f67,plain,
! [X2,X0,X1] :
( ~ equidistant(X0,X0,X1,X2)
| X1 = X2 ),
inference(resolution,[],[f21,f3]) ).
fof(f79,plain,
v = u,
inference(resolution,[],[f67,f54]) ).
fof(f80,plain,
$false,
inference(forward_subsumption_resolution,[],[f79,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO058-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n015.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 06:49:03 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 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
% 2.67/1.14 % (1296333)Input is clausal, will run a generic CNF schedule.
% 2.67/1.14 % (1296343)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4217158398:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.67/1.14 % (1296343)First to succeed.
% 2.67/1.14 % (1296343)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1296333"
% 2.67/1.14 % (1296342)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2113030451:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.67/1.14 % (1296341)lrs+10_1_sil=8000:sp=occurrence:random_seed=3341898941:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.67/1.14 % (1296338)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=3473732238:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.67/1.14 % (1296339)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2042956473:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.67/1.14 % (1296344)dis-21_1_sil=8000:lcm=predicate:random_seed=788280921: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)
% 2.67/1.14 % (1296340)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2844969836:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.67/1.14 % (1296342)Also succeeded, but the first one will report.
% 2.67/1.14 % (1296341)Also succeeded, but the first one will report.
% 2.67/1.14 % (1296344)Instruction limit reached!
% 2.67/1.14 % (1296344)------------------------------
% 2.67/1.14 % (1296344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.14 % (1296344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.14 % (1296344)CaDiCaL version: 2.1.3
% 2.67/1.14 % (1296344)Termination reason: Instruction limit
% 2.67/1.14 % (1296344)Termination phase: Saturation
% 2.67/1.14 % (1296344)Time elapsed: 0.062 s
% 2.67/1.14 % (1296344)Peak memory usage: 88 MB
% 2.67/1.14 % (1296344)Instructions burned: 117 (million)
% 2.67/1.14 % (1296343)Refutation found. Thanks to Tanya!
% 2.67/1.14 % SZS status Unsatisfiable for theBenchmark
% 2.67/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 2.67/1.14 % (1296343)------------------------------
% 2.67/1.14 % (1296343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.14 % (1296343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.14 % (1296343)CaDiCaL version: 2.1.3
% 2.67/1.14 % (1296343)Termination reason: Refutation
% 2.67/1.14 % (1296343)Time elapsed: 0.002 s
% 2.67/1.14 % (1296343)Peak memory usage: 88 MB
% 2.67/1.14 % (1296343)Instructions burned: 3 (million)
% 2.67/1.14 % (1296343)------------------------------
% 2.67/1.14 % (1296343)------------------------------
% 2.67/1.14 % (1296333)Success in time 0.318 s
% 2.67/1.14 % Vampire exiting
%------------------------------------------------------------------------------