%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC036-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 01:02:08 PM UTC 2026
% Result : Unsatisfiable 3.73s 1.54s
% Output : Refutation 3.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 10 ( 8 unt; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f204,negated_conjecture,
nil = sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
nil != sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,plain,
nil = sk4,
inference(definition_unfolding,[],[f204,f205]) ).
fof(f210,plain,
sk3 != sk4,
inference(definition_unfolding,[],[f207,f209,f206]) ).
fof(f211,plain,
( sk3 = sk4
| sk4 != sk4 ),
inference(definition_unfolding,[],[f208,f209,f209]) ).
fof(f212,plain,
sk3 = sk4,
inference(trivial_inequality_removal,[],[f211]) ).
fof(f213,plain,
$false,
inference(forward_subsumption_resolution,[],[f210,f212]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC036-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 % Computer : n016.cluster.edu
% 0.10/0.41 % Model : x86_64 x86_64
% 0.10/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.41 % Memory : 8046.5625MB
% 0.10/0.41 % OS : Linux 6.8.0-71-generic
% 0.10/0.41 % CPULimit : 300
% 0.10/0.41 % WCLimit : 300
% 0.10/0.41 % DateTime : Mon Sep 28 07:37:48 UTC 2026
% 0.10/0.41 % CPUTime :
% 0.10/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.45 Running first-order theorem proving
% 0.10/0.45 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
% 3.73/1.54 % (3456824)Input is clausal, will run a generic CNF schedule.
% 3.73/1.54 % (3456829)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=139477343:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.73/1.54 % (3456833)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3211438155:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.73/1.54 % (3456830)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3088246797:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.73/1.54 % (3456835)dis-21_1_sil=8000:lcm=predicate:random_seed=1287117717: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)
% 3.73/1.54 % (3456832)lrs+10_1_sil=8000:sp=occurrence:random_seed=2022962567:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.73/1.54 % (3456831)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3461966485:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.73/1.54 % (3456832)First to succeed.
% 3.73/1.54 % (3456833)Also succeeded, but the first one will report.
% 3.73/1.54 % (3456832)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3456824"
% 3.73/1.54 % (3456835)Also succeeded, but the first one will report.
% 3.73/1.54 % (3456834)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2103397819:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.73/1.54 % (3456834)Also succeeded, but the first one will report.
% 3.73/1.54 % (3456832)Refutation found. Thanks to Tanya!
% 3.73/1.54 % SZS status Unsatisfiable for theBenchmark
% 3.73/1.54 % SZS output start Proof for theBenchmark
% See solution above
% 3.73/1.54 % (3456832)------------------------------
% 3.73/1.54 % (3456832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.54 % (3456832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.54 % (3456832)CaDiCaL version: 2.1.3
% 3.73/1.54 % (3456832)Termination reason: Refutation
% 3.73/1.54 % (3456832)Time elapsed: 0.002 s
% 3.73/1.54 % (3456832)Peak memory usage: 88 MB
% 3.73/1.54 % (3456832)------------------------------
% 3.73/1.54 % (3456832)------------------------------
% 3.73/1.54 % (3456824)Success in time 0.445 s
% 3.73/1.54 % Vampire exiting
%------------------------------------------------------------------------------