%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO056-3 : 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 : n009.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 2.41s 6.22s
% Output : Refutation 2.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 7 unt; 0 def)
% Number of atoms : 7 ( 6 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-4 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,axiom,
! [X0,X1] : reflection(X0,X1) = extension(X0,X1,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflection) ).
fof(f29,axiom,
! [X2,X0,X1] : X0 = extension(X1,X0,X2,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e1) ).
fof(f30,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(reorient_equations,[],[f29]) ).
fof(f35,axiom,
u = v,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_equals_v) ).
fof(f36,negated_conjecture,
v != reflection(u,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_v_equals_reflection) ).
fof(f37,plain,
v != extension(v,v,v,v),
inference(definition_unfolding,[],[f36,f19,f35]) ).
fof(f41,plain,
$false,
inference(forward_subsumption_resolution,[],[f37,f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO056-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/5.38 % Computer : n009.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Sun Sep 27 06:45:52 UTC 2026
% 0.09/5.39 % CPUTime :
% 0.09/5.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/5.42 Running first-order theorem proving
% 0.14/5.42 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
% 2.41/6.22 % (1681656)Input is clausal, will run a generic CNF schedule.
% 2.41/6.22 % (1681664)lrs+10_1_sil=8000:sp=occurrence:random_seed=2425624681:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.41/6.22 % (1681664)First to succeed.
% 2.41/6.22 % (1681664)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1681656"
% 2.41/6.22 % (1681662)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1870770067:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.41/6.22 % (1681665)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=607003315:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.41/6.22 % (1681661)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=2933579297:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.41/6.22 % (1681663)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3884728299:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.41/6.22 % (1681666)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2637323053:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.41/6.22 % (1681665)Also succeeded, but the first one will report.
% 2.41/6.22 % (1681666)Also succeeded, but the first one will report.
% 2.41/6.22 % (1681667)dis-21_1_sil=8000:lcm=predicate:random_seed=2462504224: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)
% 2.41/6.22 % (1681667)Also succeeded, but the first one will report.
% 2.41/6.22 % (1681664)Refutation found. Thanks to Tanya!
% 2.41/6.22 % SZS status Unsatisfiable for theBenchmark
% 2.41/6.22 % SZS output start Proof for theBenchmark
% See solution above
% 2.41/6.22 % (1681664)------------------------------
% 2.41/6.22 % (1681664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.41/6.22 % (1681664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/6.22 % (1681664)CaDiCaL version: 2.1.3
% 2.41/6.22 % (1681664)Termination reason: Refutation
% 2.41/6.22 % (1681664)Time elapsed: 0.001 s
% 2.41/6.22 % (1681664)Peak memory usage: 88 MB
% 2.41/6.22 % (1681664)Instructions burned: 1 (million)
% 2.41/6.22 % (1681664)------------------------------
% 2.41/6.22 % (1681664)------------------------------
% 2.41/6.22 % (1681656)Success in time 0.267 s
% 2.41/6.22 % Vampire exiting
%------------------------------------------------------------------------------