%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET153-6 : 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 : n019.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 12:40:19 PM UTC 2026
% Result : Unsatisfiable 0.16s 1.20s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 15 ( 8 unt; 1 def)
% Number of atoms : 22 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 6 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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,
intersection(complement(x),x) != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_intersection_with_complement_1) ).
fof(f123,plain,
null_class != intersection(complement(x),x),
inference(reorient_equations,[],[f122]) ).
fof(f181,definition,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ0_eqProxy])],[equality_proxy_definition]) ).
fof(f182,plain,
~ sQ0_eqProxy(null_class,intersection(complement(x),x)),
inference(equality_proxy_replacement,[],[f123,f181]) ).
fof(f188,plain,
! [X0] :
( sQ0_eqProxy(null_class,X0)
| member(regular(X0),X0) ),
inference(equality_proxy_replacement,[],[f68,f181]) ).
fof(f209,plain,
member(regular(intersection(complement(x),x)),intersection(complement(x),x)),
inference(resolution,[],[f188,f182]) ).
fof(f210,plain,
member(regular(intersection(complement(x),x)),complement(x)),
inference(resolution,[],[f21,f209]) ).
fof(f211,plain,
~ member(regular(intersection(complement(x),x)),x),
inference(resolution,[],[f210,f24]) ).
fof(f212,plain,
member(regular(intersection(complement(x),x)),x),
inference(resolution,[],[f22,f209]) ).
fof(f213,plain,
$false,
inference(resolution,[],[f211,f212]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET153-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 % Computer : n019.cluster.edu
% 0.10/0.40 % Model : x86_64 x86_64
% 0.10/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.40 % Memory : 8046.5625MB
% 0.10/0.40 % OS : Linux 6.8.0-71-generic
% 0.10/0.40 % CPULimit : 300
% 0.10/0.40 % WCLimit : 300
% 0.10/0.40 % DateTime : Mon Sep 28 00:56:04 UTC 2026
% 0.10/0.40 % CPUTime :
% 0.10/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.44 Running first-order theorem proving
% 0.10/0.44 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
% 0.16/1.20 % (3563019)Input is clausal, will run a generic CNF schedule.
% 0.16/1.20 % (3563029)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3864549678:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.16/1.20 % (3563025)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=13835247:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.16/1.20 % (3563027)lrs+10_1_sil=8000:sp=occurrence:random_seed=3564580428:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.16/1.20 % (3563030)dis-21_1_sil=8000:lcm=predicate:random_seed=3015099824: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)
% 0.16/1.20 % (3563024)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=73013130:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.16/1.20 % (3563028)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3272311246:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.16/1.20 % (3563026)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=799395034:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.16/1.20 % (3563027)Refutation not found, incomplete strategy
% 0.16/1.20 % (3563027)------------------------------
% 0.16/1.20 % (3563027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.20 % (3563027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.20 % (3563027)CaDiCaL version: 2.1.3
% 0.16/1.20 % (3563027)Termination reason: Refutation not found, incomplete strategy
% 0.16/1.20 % (3563027)Time elapsed: 0.001 s
% 0.16/1.20 % (3563027)Peak memory usage: 88 MB
% 0.16/1.20 % (3563030)First to succeed.
% 0.16/1.20 % (3563030)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3563019"
% 0.16/1.20 % (3563028)Instruction limit reached!
% 0.16/1.20 % (3563028)------------------------------
% 0.16/1.20 % (3563028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.20 % (3563028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.20 % (3563028)CaDiCaL version: 2.1.3
% 0.16/1.20 % (3563028)Termination reason: Instruction limit
% 0.16/1.20 % (3563028)Termination phase: Saturation
% 0.16/1.20 % (3563028)Time elapsed: 0.066 s
% 0.16/1.20 % (3563028)Peak memory usage: 89 MB
% 0.16/1.20 % (3563028)Instructions burned: 115 (million)
% 0.16/1.20 % (3563029)Instruction limit reached!
% 0.16/1.20 % (3563029)------------------------------
% 0.16/1.20 % (3563029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.20 % (3563029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.20 % (3563029)CaDiCaL version: 2.1.3
% 0.16/1.20 % (3563029)Termination reason: Instruction limit
% 0.16/1.20 % (3563029)Termination phase: Saturation
% 0.16/1.20 % (3563029)Time elapsed: 0.134 s
% 0.16/1.20 % (3563029)Peak memory usage: 90 MB
% 0.16/1.20 % (3563029)Instructions burned: 180 (million)
% 0.16/1.20 % (3563038)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3190962618:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 0.16/1.20 % (3563038)Refutation not found, incomplete strategy
% 0.16/1.20 % (3563038)------------------------------
% 0.16/1.20 % (3563038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.20 % (3563038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.20 % (3563038)CaDiCaL version: 2.1.3
% 0.16/1.20 % (3563038)Termination reason: Refutation not found, incomplete strategy
% 0.16/1.20 % (3563038)Time elapsed: 0.003 s
% 0.16/1.20 % (3563038)Peak memory usage: 88 MB
% 0.16/1.20 % (3563038)Instructions burned: 3 (million)
% 0.16/1.20 % (3563027)------------------------------
% 0.16/1.20 % (3563027)------------------------------
% 0.16/1.20 % (3563030)Refutation found. Thanks to Tanya!
% 0.16/1.20 % SZS status Unsatisfiable for theBenchmark
% 0.16/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.20 % (3563030)------------------------------
% 0.16/1.20 % (3563030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.20 % (3563030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.20 % (3563030)CaDiCaL version: 2.1.3
% 0.16/1.20 % (3563030)Termination reason: Refutation
% 0.16/1.20 % (3563030)Time elapsed: 0.004 s
% 0.16/1.20 % (3563030)Peak memory usage: 88 MB
% 0.16/1.20 % (3563030)Instructions burned: 7 (million)
% 0.16/1.20 % (3563030)------------------------------
% 0.16/1.20 % (3563030)------------------------------
% 0.16/1.20 % (3563019)Success in time 0.382 s
% 0.16/1.20 % Vampire exiting
%------------------------------------------------------------------------------