%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET095-7 : 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 : n005.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 12:40:05 PM UTC 2026
% Result : Unsatisfiable 2.56s 1.32s
% Output : Refutation 2.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 10 ( 6 unt; 0 def)
% Number of atoms : 14 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 4 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
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(f137,axiom,
! [X0,X1] :
( ~ member(X0,singleton(X1))
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_member_in_singleton) ).
fof(f153,negated_conjecture,
member(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_of_singletons2_1) ).
fof(f154,negated_conjecture,
~ subclass(singleton(x),y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_of_singletons2_2) ).
fof(f179,plain,
member(not_subclass_element(singleton(x),y),singleton(x)),
inference(resolution,[],[f2,f154]) ).
fof(f181,plain,
x = not_subclass_element(singleton(x),y),
inference(resolution,[],[f179,f137]) ).
fof(f184,plain,
( ~ member(x,y)
| subclass(singleton(x),y) ),
inference(superposition,[],[f3,f181]) ).
fof(f185,plain,
subclass(singleton(x),y),
inference(forward_subsumption_resolution,[],[f184,f153]) ).
fof(f186,plain,
$false,
inference(forward_subsumption_resolution,[],[f185,f154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET095-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n005.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 00:39:47 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 2.56/1.32 % (328146)Input is clausal, will run a generic CNF schedule.
% 2.56/1.32 % (328156)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2377415695:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.56/1.32 % (328156)First to succeed.
% 2.56/1.32 % (328156)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-328146"
% 2.56/1.32 % (328154)lrs+10_1_sil=8000:sp=occurrence:random_seed=1865810659:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.56/1.32 % (328157)dis-21_1_sil=8000:lcm=predicate:random_seed=1818815484: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)
% 2.56/1.32 % (328152)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2723317441:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.56/1.32 % (328151)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=3514225517:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.56/1.32 % (328153)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1643123581:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.56/1.32 % (328154)Refutation not found, incomplete strategy
% 2.56/1.32 % (328154)------------------------------
% 2.56/1.32 % (328154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.32 % (328154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.32 % (328154)CaDiCaL version: 2.1.3
% 2.56/1.32 % (328154)Termination reason: Refutation not found, incomplete strategy
% 2.56/1.32 % (328154)Time elapsed: 0.002 s
% 2.56/1.32 % (328154)Peak memory usage: 88 MB
% 2.56/1.32 % (328154)Instructions burned: 1 (million)
% 2.56/1.32 % (328155)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3835725142:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.56/1.32 % (328157)Also succeeded, but the first one will report.
% 2.56/1.32 % (328155)Also succeeded, but the first one will report.
% 2.56/1.32 % (328156)Refutation found. Thanks to Tanya!
% 2.56/1.32 % SZS status Unsatisfiable for theBenchmark
% 2.56/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 2.56/1.32 % (328156)------------------------------
% 2.56/1.32 % (328156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.32 % (328156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.32 % (328156)CaDiCaL version: 2.1.3
% 2.56/1.32 % (328156)Termination reason: Refutation
% 2.56/1.32 % (328156)Time elapsed: 0.003 s
% 2.56/1.32 % (328156)Peak memory usage: 88 MB
% 2.56/1.32 % (328156)Instructions burned: 6 (million)
% 2.56/1.32 % (328156)------------------------------
% 2.56/1.32 % (328156)------------------------------
% 2.56/1.32 % (328146)Success in time 0.279 s
% 2.56/1.32 % Vampire exiting
%------------------------------------------------------------------------------