TSTP Solution File: SET155-6 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET155-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:23:59 EDT 2022
% Result : Unsatisfiable 0.15s 0.52s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 10 unt; 0 def)
% Number of atoms : 61 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 60 ( 32 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f288,plain,
$false,
inference(subsumption_resolution,[],[f286,f271]) ).
fof(f271,plain,
member(not_subclass_element(intersection(complement(x),complement(y)),complement(complement(intersection(complement(x),complement(y))))),intersection(complement(x),complement(y))),
inference(subsumption_resolution,[],[f270,f235]) ).
fof(f235,plain,
( ~ member(not_subclass_element(complement(complement(intersection(complement(x),complement(y)))),intersection(complement(x),complement(y))),intersection(complement(x),complement(y)))
| member(not_subclass_element(intersection(complement(x),complement(y)),complement(complement(intersection(complement(x),complement(y))))),intersection(complement(x),complement(y))) ),
inference(resolution,[],[f232,f2]) ).
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(f232,plain,
( ~ subclass(intersection(complement(x),complement(y)),complement(complement(intersection(complement(x),complement(y)))))
| ~ member(not_subclass_element(complement(complement(intersection(complement(x),complement(y)))),intersection(complement(x),complement(y))),intersection(complement(x),complement(y))) ),
inference(resolution,[],[f216,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f216,plain,
( ~ subclass(complement(complement(intersection(complement(x),complement(y)))),intersection(complement(x),complement(y)))
| ~ subclass(intersection(complement(x),complement(y)),complement(complement(intersection(complement(x),complement(y))))) ),
inference(extensionality_resolution,[],[f7,f137]) ).
fof(f137,plain,
intersection(complement(x),complement(y)) != complement(complement(intersection(complement(x),complement(y)))),
inference(definition_unfolding,[],[f113,f26]) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
fof(f113,axiom,
complement(union(x,y)) != intersection(complement(x),complement(y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_demorgans_law1_1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X0,X1)
| X0 = X1
| ~ subclass(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f270,plain,
( member(not_subclass_element(intersection(complement(x),complement(y)),complement(complement(intersection(complement(x),complement(y))))),intersection(complement(x),complement(y)))
| member(not_subclass_element(complement(complement(intersection(complement(x),complement(y)))),intersection(complement(x),complement(y))),intersection(complement(x),complement(y))) ),
inference(subsumption_resolution,[],[f269,f239]) ).
fof(f239,plain,
( member(not_subclass_element(complement(complement(intersection(complement(x),complement(y)))),intersection(complement(x),complement(y))),universal_class)
| member(not_subclass_element(intersection(complement(x),complement(y)),complement(complement(intersection(complement(x),complement(y))))),intersection(complement(x),complement(y))) ),
inference(resolution,[],[f237,f193]) ).
fof(f193,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f1,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f237,plain,
( member(not_subclass_element(complement(complement(intersection(complement(x),complement(y)))),intersection(complement(x),complement(y))),complement(complement(intersection(complement(x),complement(y)))))
| member(not_subclass_element(intersection(complement(x),complement(y)),complement(complement(intersection(complement(x),complement(y))))),intersection(complement(x),complement(y))) ),
inference(resolution,[],[f233,f2]) ).
fof(f233,plain,
( ~ subclass(intersection(complement(x),complement(y)),complement(complement(intersection(complement(x),complement(y)))))
| member(not_subclass_element(complement(complement(intersection(complement(x),complement(y)))),intersection(complement(x),complement(y))),complement(complement(intersection(complement(x),complement(y))))) ),
inference(resolution,[],[f216,f2]) ).
fof(f269,plain,
( member(not_subclass_element(intersection(complement(x),complement(y)),complement(complement(intersection(complement(x),complement(y))))),intersection(complement(x),complement(y)))
| member(not_subclass_element(complement(complement(intersection(complement(x),complement(y)))),intersection(complement(x),complement(y))),intersection(complement(x),complement(y)))
| ~ member(not_subclass_element(complement(complement(intersection(complement(x),complement(y)))),intersection(complement(x),complement(y))),universal_class) ),
inference(resolution,[],[f25,f238]) ).
fof(f238,plain,
( ~ member(not_subclass_element(complement(complement(intersection(complement(x),complement(y)))),intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(y))))
| member(not_subclass_element(intersection(complement(x),complement(y)),complement(complement(intersection(complement(x),complement(y))))),intersection(complement(x),complement(y))) ),
inference(resolution,[],[f237,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f25,axiom,
! [X0,X4] :
( member(X4,complement(X0))
| ~ member(X4,universal_class)
| member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).
fof(f286,plain,
~ member(not_subclass_element(intersection(complement(x),complement(y)),complement(complement(intersection(complement(x),complement(y))))),intersection(complement(x),complement(y))),
inference(resolution,[],[f281,f24]) ).
fof(f281,plain,
member(not_subclass_element(intersection(complement(x),complement(y)),complement(complement(intersection(complement(x),complement(y))))),complement(intersection(complement(x),complement(y)))),
inference(subsumption_resolution,[],[f280,f276]) ).
fof(f276,plain,
member(not_subclass_element(intersection(complement(x),complement(y)),complement(complement(intersection(complement(x),complement(y))))),universal_class),
inference(resolution,[],[f271,f193]) ).
fof(f280,plain,
( member(not_subclass_element(intersection(complement(x),complement(y)),complement(complement(intersection(complement(x),complement(y))))),complement(intersection(complement(x),complement(y))))
| ~ member(not_subclass_element(intersection(complement(x),complement(y)),complement(complement(intersection(complement(x),complement(y))))),universal_class) ),
inference(resolution,[],[f273,f25]) ).
fof(f273,plain,
~ member(not_subclass_element(intersection(complement(x),complement(y)),complement(complement(intersection(complement(x),complement(y))))),complement(complement(intersection(complement(x),complement(y))))),
inference(subsumption_resolution,[],[f272,f244]) ).
fof(f244,plain,
( member(not_subclass_element(complement(complement(intersection(complement(x),complement(y)))),intersection(complement(x),complement(y))),universal_class)
| ~ member(not_subclass_element(intersection(complement(x),complement(y)),complement(complement(intersection(complement(x),complement(y))))),complement(complement(intersection(complement(x),complement(y))))) ),
inference(resolution,[],[f236,f193]) ).
fof(f236,plain,
( member(not_subclass_element(complement(complement(intersection(complement(x),complement(y)))),intersection(complement(x),complement(y))),complement(complement(intersection(complement(x),complement(y)))))
| ~ member(not_subclass_element(intersection(complement(x),complement(y)),complement(complement(intersection(complement(x),complement(y))))),complement(complement(intersection(complement(x),complement(y))))) ),
inference(resolution,[],[f233,f3]) ).
fof(f272,plain,
( ~ member(not_subclass_element(complement(complement(intersection(complement(x),complement(y)))),intersection(complement(x),complement(y))),universal_class)
| ~ member(not_subclass_element(intersection(complement(x),complement(y)),complement(complement(intersection(complement(x),complement(y))))),complement(complement(intersection(complement(x),complement(y))))) ),
inference(subsumption_resolution,[],[f268,f234]) ).
fof(f234,plain,
( ~ member(not_subclass_element(complement(complement(intersection(complement(x),complement(y)))),intersection(complement(x),complement(y))),intersection(complement(x),complement(y)))
| ~ member(not_subclass_element(intersection(complement(x),complement(y)),complement(complement(intersection(complement(x),complement(y))))),complement(complement(intersection(complement(x),complement(y))))) ),
inference(resolution,[],[f232,f3]) ).
fof(f268,plain,
( member(not_subclass_element(complement(complement(intersection(complement(x),complement(y)))),intersection(complement(x),complement(y))),intersection(complement(x),complement(y)))
| ~ member(not_subclass_element(intersection(complement(x),complement(y)),complement(complement(intersection(complement(x),complement(y))))),complement(complement(intersection(complement(x),complement(y)))))
| ~ member(not_subclass_element(complement(complement(intersection(complement(x),complement(y)))),intersection(complement(x),complement(y))),universal_class) ),
inference(resolution,[],[f25,f243]) ).
fof(f243,plain,
( ~ member(not_subclass_element(complement(complement(intersection(complement(x),complement(y)))),intersection(complement(x),complement(y))),complement(intersection(complement(x),complement(y))))
| ~ member(not_subclass_element(intersection(complement(x),complement(y)),complement(complement(intersection(complement(x),complement(y))))),complement(complement(intersection(complement(x),complement(y))))) ),
inference(resolution,[],[f236,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET155-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.00/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.30 % Computer : n010.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Aug 30 13:16:29 EDT 2022
% 0.09/0.31 % CPUTime :
% 0.15/0.46 % (14523)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.47 % (14546)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.15/0.47 % (14530)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.47 % (14538)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.48 % (14543)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.15/0.48 % (14541)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.15/0.48 % (14527)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.48 % (14527)Instruction limit reached!
% 0.15/0.48 % (14527)------------------------------
% 0.15/0.48 % (14527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (14527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (14527)Termination reason: Unknown
% 0.15/0.48 % (14527)Termination phase: Function definition elimination
% 0.15/0.48
% 0.15/0.48 % (14527)Memory used [KB]: 1023
% 0.15/0.48 % (14527)Time elapsed: 0.004 s
% 0.15/0.48 % (14527)Instructions burned: 2 (million)
% 0.15/0.48 % (14527)------------------------------
% 0.15/0.48 % (14527)------------------------------
% 0.15/0.48 % (14531)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.15/0.48 % (14535)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.49 % (14541)First to succeed.
% 0.15/0.51 % (14525)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.51 % (14522)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.52 % (14524)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.15/0.52 % (14541)Refutation found. Thanks to Tanya!
% 0.15/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.52 % (14541)------------------------------
% 0.15/0.52 % (14541)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.52 % (14541)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.52 % (14541)Termination reason: Refutation
% 0.15/0.52
% 0.15/0.52 % (14541)Memory used [KB]: 1151
% 0.15/0.52 % (14541)Time elapsed: 0.124 s
% 0.15/0.52 % (14541)Instructions burned: 14 (million)
% 0.15/0.52 % (14541)------------------------------
% 0.15/0.52 % (14541)------------------------------
% 0.15/0.52 % (14518)Success in time 0.209 s
%------------------------------------------------------------------------------