TSTP Solution File: SET382-6 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET382-6 : 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 : n016.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 18:24:35 EDT 2022
% Result : Unsatisfiable 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 9 unt; 0 def)
% Number of atoms : 46 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 25 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f320,plain,
$false,
inference(subsumption_resolution,[],[f319,f241]) ).
fof(f241,plain,
member(not_subclass_element(x,intersection(x,cross_product(universal_class,universal_class))),cross_product(universal_class,universal_class)),
inference(resolution,[],[f237,f208]) ).
fof(f208,plain,
! [X25] :
( ~ member(X25,x)
| member(X25,cross_product(universal_class,universal_class)) ),
inference(resolution,[],[f1,f113]) ).
fof(f113,axiom,
subclass(x,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_1_to_relation_property2_1) ).
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(x,intersection(x,cross_product(universal_class,universal_class))),x),
inference(subsumption_resolution,[],[f236,f232]) ).
fof(f232,plain,
( ~ member(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),x),x)
| member(not_subclass_element(x,intersection(x,cross_product(universal_class,universal_class))),x) ),
inference(resolution,[],[f229,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(f229,plain,
( ~ subclass(x,intersection(x,cross_product(universal_class,universal_class)))
| ~ member(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),x),x) ),
inference(resolution,[],[f210,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(f210,plain,
( ~ subclass(intersection(x,cross_product(universal_class,universal_class)),x)
| ~ subclass(x,intersection(x,cross_product(universal_class,universal_class))) ),
inference(extensionality_resolution,[],[f7,f164]) ).
fof(f164,plain,
x != intersection(x,cross_product(universal_class,universal_class)),
inference(definition_unfolding,[],[f114,f28]) ).
fof(f28,axiom,
! [X0,X1,X5] : intersection(X5,cross_product(X0,X1)) = restrict(X5,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction1) ).
fof(f114,axiom,
x != restrict(x,universal_class,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_1_to_relation_property2_2) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f236,plain,
( member(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),x),x)
| member(not_subclass_element(x,intersection(x,cross_product(universal_class,universal_class))),x) ),
inference(resolution,[],[f234,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f234,plain,
( member(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),x),intersection(x,cross_product(universal_class,universal_class)))
| member(not_subclass_element(x,intersection(x,cross_product(universal_class,universal_class))),x) ),
inference(resolution,[],[f230,f2]) ).
fof(f230,plain,
( ~ subclass(x,intersection(x,cross_product(universal_class,universal_class)))
| member(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),x),intersection(x,cross_product(universal_class,universal_class))) ),
inference(resolution,[],[f210,f2]) ).
fof(f319,plain,
~ member(not_subclass_element(x,intersection(x,cross_product(universal_class,universal_class))),cross_product(universal_class,universal_class)),
inference(subsumption_resolution,[],[f315,f237]) ).
fof(f315,plain,
( ~ member(not_subclass_element(x,intersection(x,cross_product(universal_class,universal_class))),x)
| ~ member(not_subclass_element(x,intersection(x,cross_product(universal_class,universal_class))),cross_product(universal_class,universal_class)) ),
inference(resolution,[],[f23,f240]) ).
fof(f240,plain,
~ member(not_subclass_element(x,intersection(x,cross_product(universal_class,universal_class))),intersection(x,cross_product(universal_class,universal_class))),
inference(subsumption_resolution,[],[f239,f231]) ).
fof(f231,plain,
( ~ member(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),x),x)
| ~ member(not_subclass_element(x,intersection(x,cross_product(universal_class,universal_class))),intersection(x,cross_product(universal_class,universal_class))) ),
inference(resolution,[],[f229,f3]) ).
fof(f239,plain,
( member(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),x),x)
| ~ member(not_subclass_element(x,intersection(x,cross_product(universal_class,universal_class))),intersection(x,cross_product(universal_class,universal_class))) ),
inference(resolution,[],[f233,f21]) ).
fof(f233,plain,
( member(not_subclass_element(intersection(x,cross_product(universal_class,universal_class)),x),intersection(x,cross_product(universal_class,universal_class)))
| ~ member(not_subclass_element(x,intersection(x,cross_product(universal_class,universal_class))),intersection(x,cross_product(universal_class,universal_class))) ),
inference(resolution,[],[f230,f3]) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X1)
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET382-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 14:07:46 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.51 % (2435)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51 % (2432)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (2425)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52 % (2423)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.53 % (2452)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.53 % (2428)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)
% 0.20/0.53 % (2434)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)
% 0.20/0.53 % (2426)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)
% 0.20/0.53 % (2427)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (2436)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (2424)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (2445)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)
% 0.20/0.53 % (2431)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (2431)Instruction limit reached!
% 0.20/0.54 % (2431)------------------------------
% 0.20/0.54 % (2431)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (2431)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (2431)Termination reason: Unknown
% 0.20/0.54 % (2431)Termination phase: Property scanning
% 0.20/0.54
% 0.20/0.54 % (2431)Memory used [KB]: 1023
% 0.20/0.54 % (2431)Time elapsed: 0.003 s
% 0.20/0.54 % (2431)Instructions burned: 3 (million)
% 0.20/0.54 % (2431)------------------------------
% 0.20/0.54 % (2431)------------------------------
% 0.20/0.54 % (2429)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)
% 0.20/0.54 % (2451)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 % (2437)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54 % (2447)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54 % (2433)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 % (2446)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.55 % (2438)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.55 % (2430)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (2450)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)
% 0.20/0.55 % (2439)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)
% 0.20/0.55 % (2430)Instruction limit reached!
% 0.20/0.55 % (2430)------------------------------
% 0.20/0.55 % (2430)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (2430)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (2430)Termination reason: Unknown
% 0.20/0.55 % (2430)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (2430)Memory used [KB]: 5500
% 0.20/0.55 % (2430)Time elapsed: 0.004 s
% 0.20/0.55 % (2430)Instructions burned: 7 (million)
% 0.20/0.55 % (2430)------------------------------
% 0.20/0.55 % (2430)------------------------------
% 0.20/0.55 % (2448)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.55 % (2443)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.55 % (2449)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.56 % (2444)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.56 % (2440)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.56 % (2442)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)
% 0.20/0.56 % (2445)First to succeed.
% 0.20/0.56 % (2441)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.56 % (2445)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56 % (2445)------------------------------
% 0.20/0.56 % (2445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (2445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (2445)Termination reason: Refutation
% 0.20/0.56
% 0.20/0.56 % (2445)Memory used [KB]: 1151
% 0.20/0.56 % (2445)Time elapsed: 0.117 s
% 0.20/0.56 % (2445)Instructions burned: 13 (million)
% 0.20/0.56 % (2445)------------------------------
% 0.20/0.56 % (2445)------------------------------
% 0.20/0.56 % (2422)Success in time 0.212 s
%------------------------------------------------------------------------------