%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM180-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 12:11:52 PM UTC 2026
% Result : Unsatisfiable 2.75s 1.39s
% Output : Refutation 2.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 10 ( 5 unt; 0 def)
% Number of atoms : 15 ( 1 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 4 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f22,axiom,
! [X2,X0,X1] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f155,axiom,
intersection(complement(kind_1_ordinals),ordinal_numbers) = limit_ordinals,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',limit_ordinals) ).
fof(f176,negated_conjecture,
~ subclass(limit_ordinals,ordinal_numbers),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_limit_ordinals_are_ordinals_1) ).
fof(f378,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,X1),intersection(X2,X1))
| subclass(X0,X1) ),
inference(resolution,[],[f22,f3]) ).
fof(f1283,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X1)
| subclass(intersection(X0,X1),X1) ),
inference(resolution,[],[f378,f2]) ).
fof(f1295,plain,
! [X0,X1] : subclass(intersection(X0,X1),X1),
inference(duplicate_literal_removal,[],[f1283]) ).
fof(f1334,plain,
subclass(limit_ordinals,ordinal_numbers),
inference(superposition,[],[f1295,f155]) ).
fof(f1338,plain,
$false,
inference(forward_subsumption_resolution,[],[f1334,f176]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM180-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n017.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 19:01:50 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 2.75/1.39 % (2882180)Input is clausal, will run a generic CNF schedule.
% 2.75/1.39 % (2882190)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3495037927:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.75/1.39 % (2882190)First to succeed.
% 2.75/1.39 % (2882190)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2882180"
% 2.75/1.39 % (2882187)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1409748048:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.75/1.39 % (2882188)lrs+10_1_sil=8000:sp=occurrence:random_seed=3792447342:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.75/1.39 % (2882185)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=1738481420:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.75/1.39 % (2882191)dis-21_1_sil=8000:lcm=predicate:random_seed=2084437395: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)
% 2.75/1.39 % (2882189)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3506566754:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.75/1.39 % (2882186)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3862698381:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.75/1.39 % (2882191)Instruction limit reached!
% 2.75/1.39 % (2882191)------------------------------
% 2.75/1.39 % (2882191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.75/1.39 % (2882191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/1.39 % (2882191)CaDiCaL version: 2.1.3
% 2.75/1.39 % (2882191)Termination reason: Instruction limit
% 2.75/1.39 % (2882191)Termination phase: Saturation
% 2.75/1.39 % (2882191)Time elapsed: 0.063 s
% 2.75/1.39 % (2882191)Peak memory usage: 89 MB
% 2.75/1.39 % (2882191)Instructions burned: 117 (million)
% 2.75/1.39 % (2882188)Instruction limit reached!
% 2.75/1.39 % (2882188)------------------------------
% 2.75/1.39 % (2882188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.75/1.39 % (2882188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/1.39 % (2882188)CaDiCaL version: 2.1.3
% 2.75/1.39 % (2882188)Termination reason: Instruction limit
% 2.75/1.39 % (2882188)Termination phase: Saturation
% 2.75/1.39 % (2882188)Time elapsed: 0.068 s
% 2.75/1.39 % (2882188)Peak memory usage: 88 MB
% 2.75/1.39 % (2882188)Instructions burned: 107 (million)
% 2.75/1.39 % (2882189)Instruction limit reached!
% 2.75/1.39 % (2882189)------------------------------
% 2.75/1.39 % (2882189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.75/1.39 % (2882189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/1.39 % (2882189)CaDiCaL version: 2.1.3
% 2.75/1.39 % (2882189)Termination reason: Instruction limit
% 2.75/1.39 % (2882189)Termination phase: Saturation
% 2.75/1.39 % (2882189)Time elapsed: 0.070 s
% 2.75/1.39 % (2882189)Peak memory usage: 89 MB
% 2.75/1.39 % (2882189)Instructions burned: 115 (million)
% 2.75/1.39 % (2882190)Refutation found. Thanks to Tanya!
% 2.75/1.39 % SZS status Unsatisfiable for theBenchmark
% 2.75/1.39 % SZS output start Proof for theBenchmark
% See solution above
% 2.75/1.39 % (2882190)------------------------------
% 2.75/1.39 % (2882190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.75/1.39 % (2882190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/1.39 % (2882190)CaDiCaL version: 2.1.3
% 2.75/1.39 % (2882190)Termination reason: Refutation
% 2.75/1.39 % (2882190)Time elapsed: 0.022 s
% 2.75/1.39 % (2882190)Peak memory usage: 89 MB
% 2.75/1.39 % (2882190)Instructions burned: 49 (million)
% 2.75/1.39 % (2882190)------------------------------
% 2.75/1.39 % (2882190)------------------------------
% 2.75/1.39 % (2882180)Success in time 0.309 s
% 2.75/1.39 % Vampire exiting
%------------------------------------------------------------------------------