TSTP Solution File: SET262-6 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET262-6 : 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 : n018.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 18:24:19 EDT 2022
% Result : Unsatisfiable 1.51s 0.58s
% Output : Refutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 16
% Syntax : Number of formulae : 42 ( 18 unt; 0 def)
% Number of atoms : 76 ( 19 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 70 ( 36 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-3 aty)
% Number of variables : 55 ( 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f481,plain,
$false,
inference(resolution,[],[f470,f52]) ).
fof(f52,axiom,
member(omega,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omega_in_universal) ).
fof(f470,plain,
! [X0] : ~ member(X0,universal_class),
inference(resolution,[],[f469,f241]) ).
fof(f241,plain,
! [X1] : member(not_subclass_element(universal_class,domain_of(universal_class)),unordered_pair(not_subclass_element(universal_class,domain_of(universal_class)),X1)),
inference(resolution,[],[f239,f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f239,plain,
member(not_subclass_element(universal_class,domain_of(universal_class)),universal_class),
inference(resolution,[],[f236,f2]) ).
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(f236,plain,
~ subclass(universal_class,domain_of(universal_class)),
inference(subsumption_resolution,[],[f220,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f220,plain,
( ~ subclass(domain_of(universal_class),universal_class)
| ~ subclass(universal_class,domain_of(universal_class)) ),
inference(extensionality_resolution,[],[f7,f113]) ).
fof(f113,axiom,
universal_class != domain_of(universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_of_universal_class_1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f469,plain,
! [X0,X1] :
( ~ member(X0,unordered_pair(not_subclass_element(universal_class,domain_of(universal_class)),not_subclass_element(universal_class,domain_of(universal_class))))
| ~ member(X1,universal_class) ),
inference(subsumption_resolution,[],[f468,f408]) ).
fof(f408,plain,
! [X0] : ~ member(X0,complement(universal_class)),
inference(backward_demodulation,[],[f406,f407]) ).
fof(f407,plain,
complement(universal_class) = cross_product(unordered_pair(not_subclass_element(universal_class,domain_of(universal_class)),not_subclass_element(universal_class,domain_of(universal_class))),universal_class),
inference(resolution,[],[f406,f274]) ).
fof(f274,plain,
! [X0] :
( member(regular(X0),X0)
| complement(universal_class) = X0 ),
inference(backward_demodulation,[],[f66,f271]) ).
fof(f271,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f268]) ).
fof(f268,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f183,f206]) ).
fof(f206,plain,
! [X0] :
( member(regular(X0),universal_class)
| null_class = X0 ),
inference(resolution,[],[f192,f66]) ).
fof(f192,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f1,f4]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| member(X2,X1)
| ~ member(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f183,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f66,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).
fof(f406,plain,
! [X0] : ~ member(X0,cross_product(unordered_pair(not_subclass_element(universal_class,domain_of(universal_class)),not_subclass_element(universal_class,domain_of(universal_class))),universal_class)),
inference(subsumption_resolution,[],[f405,f192]) ).
fof(f405,plain,
! [X0] :
( ~ member(X0,universal_class)
| ~ member(X0,cross_product(unordered_pair(not_subclass_element(universal_class,domain_of(universal_class)),not_subclass_element(universal_class,domain_of(universal_class))),universal_class)) ),
inference(subsumption_resolution,[],[f402,f24]) ).
fof(f402,plain,
! [X0] :
( member(X0,complement(universal_class))
| ~ member(X0,cross_product(unordered_pair(not_subclass_element(universal_class,domain_of(universal_class)),not_subclass_element(universal_class,domain_of(universal_class))),universal_class))
| ~ member(X0,universal_class) ),
inference(superposition,[],[f23,f399]) ).
fof(f399,plain,
complement(universal_class) = intersection(universal_class,cross_product(unordered_pair(not_subclass_element(universal_class,domain_of(universal_class)),not_subclass_element(universal_class,domain_of(universal_class))),universal_class)),
inference(subsumption_resolution,[],[f396,f239]) ).
fof(f396,plain,
( complement(universal_class) = intersection(universal_class,cross_product(unordered_pair(not_subclass_element(universal_class,domain_of(universal_class)),not_subclass_element(universal_class,domain_of(universal_class))),universal_class))
| ~ member(not_subclass_element(universal_class,domain_of(universal_class)),universal_class) ),
inference(resolution,[],[f377,f238]) ).
fof(f238,plain,
~ member(not_subclass_element(universal_class,domain_of(universal_class)),domain_of(universal_class)),
inference(resolution,[],[f236,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f377,plain,
! [X0,X4] :
( member(X4,domain_of(X0))
| complement(universal_class) = intersection(X0,cross_product(unordered_pair(X4,X4),universal_class))
| ~ member(X4,universal_class) ),
inference(forward_demodulation,[],[f143,f271]) ).
fof(f143,plain,
! [X0,X4] :
( ~ member(X4,universal_class)
| member(X4,domain_of(X0))
| null_class = intersection(X0,cross_product(unordered_pair(X4,X4),universal_class)) ),
inference(definition_unfolding,[],[f31,f28,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f28,axiom,
! [X0,X1,X5] : intersection(X5,cross_product(X0,X1)) = restrict(X5,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction1) ).
fof(f31,axiom,
! [X0,X4] :
( restrict(X0,singleton(X4),universal_class) = null_class
| member(X4,domain_of(X0))
| ~ member(X4,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain2) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X1)
| ~ member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f468,plain,
! [X0,X1] :
( ~ member(X0,unordered_pair(not_subclass_element(universal_class,domain_of(universal_class)),not_subclass_element(universal_class,domain_of(universal_class))))
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),complement(universal_class))
| ~ member(X1,universal_class) ),
inference(superposition,[],[f173,f407]) ).
fof(f173,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(X0,X1))
| ~ member(X3,X1)
| ~ member(X2,X0) ),
inference(definition_unfolding,[],[f16,f125]) ).
fof(f125,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ member(X3,X1)
| member(ordered_pair(X2,X3),cross_product(X0,X1))
| ~ member(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET262-6 : 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
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 13:36:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.47 % (1380)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)
% 0.19/0.47 % (1363)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)
% 0.19/0.51 % (1358)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)
% 0.19/0.51 % (1361)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)
% 0.19/0.52 % (1354)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)
% 0.19/0.52 % (1362)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (1375)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)
% 0.19/0.52 % (1384)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)
% 0.19/0.52 % (1351)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)
% 0.19/0.52 % (1367)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)
% 0.19/0.53 % (1360)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (1360)Instruction limit reached!
% 0.19/0.53 % (1360)------------------------------
% 0.19/0.53 % (1360)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (1360)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (1360)Termination reason: Unknown
% 0.19/0.53 % (1360)Termination phase: Function definition elimination
% 0.19/0.53
% 0.19/0.53 % (1360)Memory used [KB]: 1023
% 0.19/0.53 % (1360)Time elapsed: 0.003 s
% 0.19/0.53 % (1360)Instructions burned: 2 (million)
% 0.19/0.53 % (1360)------------------------------
% 0.19/0.53 % (1360)------------------------------
% 0.19/0.53 % (1357)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)
% 1.40/0.53 % (1356)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.40/0.53 % (1374)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)
% 1.40/0.53 % (1353)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)
% 1.40/0.53 % (1371)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)
% 1.40/0.53 % (1373)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.40/0.54 % (1378)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.40/0.54 % (1368)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)
% 1.40/0.54 % (1379)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)
% 1.40/0.54 % (1372)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)
% 1.40/0.54 % (1365)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.40/0.54 % (1369)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.40/0.54 % (1377)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.40/0.55 % (1364)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.40/0.55 % (1366)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)
% 1.40/0.55 % (1359)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.40/0.55 % (1382)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.51/0.55 % (1359)Instruction limit reached!
% 1.51/0.55 % (1359)------------------------------
% 1.51/0.55 % (1359)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.55 % (1359)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.55 % (1359)Termination reason: Unknown
% 1.51/0.55 % (1359)Termination phase: Saturation
% 1.51/0.55
% 1.51/0.55 % (1359)Memory used [KB]: 5628
% 1.51/0.55 % (1359)Time elapsed: 0.119 s
% 1.51/0.55 % (1359)Instructions burned: 8 (million)
% 1.51/0.55 % (1359)------------------------------
% 1.51/0.55 % (1359)------------------------------
% 1.51/0.55 % (1355)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)
% 1.51/0.55 % (1370)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.51/0.58 % (1362)Instruction limit reached!
% 1.51/0.58 % (1362)------------------------------
% 1.51/0.58 % (1362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.58 % (1374)First to succeed.
% 1.51/0.58 % (1354)Instruction limit reached!
% 1.51/0.58 % (1354)------------------------------
% 1.51/0.58 % (1354)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.58 % (1354)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.58 % (1354)Termination reason: Unknown
% 1.51/0.58 % (1354)Termination phase: Saturation
% 1.51/0.58
% 1.51/0.58 % (1354)Memory used [KB]: 1918
% 1.51/0.58 % (1354)Time elapsed: 0.182 s
% 1.51/0.58 % (1354)Instructions burned: 37 (million)
% 1.51/0.58 % (1354)------------------------------
% 1.51/0.58 % (1354)------------------------------
% 1.51/0.58 % (1374)Refutation found. Thanks to Tanya!
% 1.51/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.51/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.51/0.58 % (1374)------------------------------
% 1.51/0.58 % (1374)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.58 % (1374)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.58 % (1374)Termination reason: Refutation
% 1.51/0.58
% 1.51/0.58 % (1374)Memory used [KB]: 1279
% 1.51/0.58 % (1374)Time elapsed: 0.169 s
% 1.51/0.58 % (1374)Instructions burned: 23 (million)
% 1.51/0.58 % (1374)------------------------------
% 1.51/0.58 % (1374)------------------------------
% 1.51/0.58 % (1343)Success in time 0.234 s
%------------------------------------------------------------------------------