%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET064-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 12:39:53 PM UTC 2026
% Result : Unsatisfiable 2.58s 1.33s
% Output : Refutation 2.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 7 unt; 1 def)
% Number of atoms : 17 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 4 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f115,axiom,
! [X0] :
( ~ subclass(X0,null_class)
| X0 = null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_of_null_class_is_subclass) ).
fof(f116,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(reorient_equations,[],[f115]) ).
fof(f117,negated_conjecture,
z != null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_null_class_is_unique_1) ).
fof(f118,plain,
null_class != z,
inference(reorient_equations,[],[f117]) ).
fof(f119,negated_conjecture,
~ member(not_subclass_element(z,null_class),z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_null_class_is_unique_2) ).
fof(f170,definition,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ0_eqProxy])],[equality_proxy_definition]) ).
fof(f175,plain,
! [X0] :
( sQ0_eqProxy(null_class,X0)
| ~ subclass(X0,null_class) ),
inference(equality_proxy_replacement,[],[f116,f170]) ).
fof(f176,plain,
~ sQ0_eqProxy(null_class,z),
inference(equality_proxy_replacement,[],[f118,f170]) ).
fof(f196,plain,
~ subclass(z,null_class),
inference(resolution,[],[f175,f176]) ).
fof(f199,plain,
member(not_subclass_element(z,null_class),z),
inference(resolution,[],[f2,f196]) ).
fof(f201,plain,
$false,
inference(resolution,[],[f199,f119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET064-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.38 % Computer : n017.cluster.edu
% 0.14/0.38 % Model : x86_64 x86_64
% 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38 % Memory : 8046.5625MB
% 0.14/0.38 % OS : Linux 6.8.0-71-generic
% 0.14/0.38 % CPULimit : 300
% 0.14/0.38 % WCLimit : 300
% 0.14/0.38 % DateTime : Mon Sep 28 00:23:06 UTC 2026
% 0.14/0.39 % CPUTime :
% 0.14/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 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
% 2.58/1.33 % (3107014)Input is clausal, will run a generic CNF schedule.
% 2.58/1.33 % (3107138)dis-21_1_sil=8000:lcm=predicate:random_seed=3024688036: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)
% 2.58/1.33 % (3107138)First to succeed.
% 2.58/1.33 % (3107138)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3107014"
% 2.58/1.33 % (3107134)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3443239645:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.58/1.33 % (3107136)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3173111595:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.58/1.33 % (3107136)Also succeeded, but the first one will report.
% 2.58/1.33 % (3107132)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=1369932574:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.58/1.33 % (3107133)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3422407875:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.58/1.33 % (3107135)lrs+10_1_sil=8000:sp=occurrence:random_seed=1625379955:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.58/1.33 % (3107135)Also succeeded, but the first one will report.
% 2.58/1.33 % (3107137)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2071764362:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.58/1.33 % (3107137)Also succeeded, but the first one will report.
% 2.58/1.33 % (3107138)Refutation found. Thanks to Tanya!
% 2.58/1.33 % SZS status Unsatisfiable for theBenchmark
% 2.58/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 2.58/1.33 % (3107138)------------------------------
% 2.58/1.33 % (3107138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.58/1.33 % (3107138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.33 % (3107138)CaDiCaL version: 2.1.3
% 2.58/1.33 % (3107138)Termination reason: Refutation
% 2.58/1.33 % (3107138)Time elapsed: 0.002 s
% 2.58/1.33 % (3107138)Peak memory usage: 88 MB
% 2.58/1.33 % (3107138)Instructions burned: 6 (million)
% 2.58/1.33 % (3107138)------------------------------
% 2.58/1.33 % (3107138)------------------------------
% 2.58/1.33 % (3107014)Success in time 0.267 s
% 2.58/1.33 % Vampire exiting
%------------------------------------------------------------------------------