%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET187-6 : 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 : n006.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 12:40:27 PM UTC 2026
% Result : Unsatisfiable 2.68s 1.36s
% Output : Refutation 2.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 19 ( 10 unt; 1 def)
% Number of atoms : 29 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 12 ~; 9 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).
fof(f68,plain,
! [X0] :
( null_class = X0
| member(regular(X0),X0) ),
inference(reorient_equations,[],[f67]) ).
fof(f122,negated_conjecture,
subclass(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_subclass_property5_1) ).
fof(f123,negated_conjecture,
intersection(complement(y),x) != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_subclass_property5_2) ).
fof(f124,plain,
null_class != intersection(complement(y),x),
inference(reorient_equations,[],[f123]) ).
fof(f182,definition,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ0_eqProxy])],[equality_proxy_definition]) ).
fof(f183,plain,
~ sQ0_eqProxy(null_class,intersection(complement(y),x)),
inference(equality_proxy_replacement,[],[f124,f182]) ).
fof(f191,plain,
! [X0] :
( sQ0_eqProxy(null_class,X0)
| member(regular(X0),X0) ),
inference(equality_proxy_replacement,[],[f68,f182]) ).
fof(f211,plain,
member(regular(intersection(complement(y),x)),intersection(complement(y),x)),
inference(resolution,[],[f191,f183]) ).
fof(f212,plain,
member(regular(intersection(complement(y),x)),complement(y)),
inference(resolution,[],[f21,f211]) ).
fof(f213,plain,
member(regular(intersection(complement(y),x)),x),
inference(resolution,[],[f22,f211]) ).
fof(f214,plain,
~ member(regular(intersection(complement(y),x)),y),
inference(resolution,[],[f212,f24]) ).
fof(f225,plain,
! [X0] :
( member(X0,y)
| ~ member(X0,x) ),
inference(resolution,[],[f1,f122]) ).
fof(f226,plain,
~ member(regular(intersection(complement(y),x)),x),
inference(resolution,[],[f225,f214]) ).
fof(f242,plain,
$false,
inference(resolution,[],[f226,f213]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET187-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n006.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 01:02:40 UTC 2026
% 0.14/0.38 % CPUTime :
% 0.14/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 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
% 2.68/1.36 % (3495711)Input is clausal, will run a generic CNF schedule.
% 2.68/1.36 % (3495722)dis-21_1_sil=8000:lcm=predicate:random_seed=571269968: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)
% 2.68/1.36 % (3495722)First to succeed.
% 2.68/1.36 % (3495722)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3495711"
% 2.68/1.36 % (3495721)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4075737688:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.68/1.36 % (3495716)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=3698067871:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.68/1.36 % (3495717)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=309539822:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.68/1.36 % (3495720)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1439763327:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.68/1.36 % (3495719)lrs+10_1_sil=8000:sp=occurrence:random_seed=3721744304:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.68/1.36 % (3495718)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2864019378:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.68/1.36 % (3495719)Refutation not found, incomplete strategy
% 2.68/1.36 % (3495719)------------------------------
% 2.68/1.36 % (3495719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/1.36 % (3495719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/1.36 % (3495719)CaDiCaL version: 2.1.3
% 2.68/1.36 % (3495719)Termination reason: Refutation not found, incomplete strategy
% 2.68/1.36 % (3495719)Time elapsed: 0.002 s
% 2.68/1.36 % (3495719)Peak memory usage: 88 MB
% 2.68/1.36 % (3495719)Instructions burned: 1 (million)
% 2.68/1.36 % (3495720)Instruction limit reached!
% 2.68/1.36 % (3495720)------------------------------
% 2.68/1.36 % (3495720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/1.36 % (3495720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/1.36 % (3495720)CaDiCaL version: 2.1.3
% 2.68/1.36 % (3495720)Termination reason: Instruction limit
% 2.68/1.36 % (3495720)Termination phase: Saturation
% 2.68/1.36 % (3495720)Time elapsed: 0.067 s
% 2.68/1.36 % (3495720)Peak memory usage: 88 MB
% 2.68/1.36 % (3495720)Instructions burned: 115 (million)
% 2.68/1.36 % (3495722)Refutation found. Thanks to Tanya!
% 2.68/1.36 % SZS status Unsatisfiable for theBenchmark
% 2.68/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 2.68/1.36 % (3495722)------------------------------
% 2.68/1.36 % (3495722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/1.36 % (3495722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/1.36 % (3495722)CaDiCaL version: 2.1.3
% 2.68/1.36 % (3495722)Termination reason: Refutation
% 2.68/1.36 % (3495722)Time elapsed: 0.003 s
% 2.68/1.36 % (3495722)Peak memory usage: 88 MB
% 2.68/1.36 % (3495722)Instructions burned: 7 (million)
% 2.68/1.36 % (3495722)------------------------------
% 2.68/1.36 % (3495722)------------------------------
% 2.68/1.36 % (3495711)Success in time 0.301 s
% 2.68/1.36 % Vampire exiting
%------------------------------------------------------------------------------