TSTP Solution File: NUM044-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM044-1 : 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 : n022.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 18:03:21 EDT 2022
% Result : Unsatisfiable 0.19s 0.59s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 39 ( 13 unt; 0 def)
% Number of atoms : 70 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 56 ( 25 ~; 31 |; 0 &)
% ( 0 <=>; 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 : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f591,plain,
$false,
inference(subsumption_resolution,[],[f589,f548]) ).
fof(f548,plain,
member(not_subclass_element(complement(universal_class),intersection(cross_product(y,y),intersection(x,identity_relation))),universal_class),
inference(backward_demodulation,[],[f425,f498]) ).
fof(f498,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f492]) ).
fof(f492,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f263,f329]) ).
fof(f329,plain,
! [X0] :
( member(regular(X0),universal_class)
| null_class = X0 ),
inference(resolution,[],[f275,f66]) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f275,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(f263,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/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f425,plain,
member(not_subclass_element(null_class,intersection(cross_product(y,y),intersection(x,identity_relation))),universal_class),
inference(resolution,[],[f424,f275]) ).
fof(f424,plain,
member(not_subclass_element(null_class,intersection(cross_product(y,y),intersection(x,identity_relation))),null_class),
inference(subsumption_resolution,[],[f422,f321]) ).
fof(f321,plain,
( member(not_subclass_element(intersection(cross_product(y,y),intersection(x,identity_relation)),null_class),identity_relation)
| member(not_subclass_element(null_class,intersection(cross_product(y,y),intersection(x,identity_relation))),null_class) ),
inference(resolution,[],[f317,f22]) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f317,plain,
( member(not_subclass_element(intersection(cross_product(y,y),intersection(x,identity_relation)),null_class),intersection(x,identity_relation))
| member(not_subclass_element(null_class,intersection(cross_product(y,y),intersection(x,identity_relation))),null_class) ),
inference(resolution,[],[f316,f22]) ).
fof(f316,plain,
( member(not_subclass_element(intersection(cross_product(y,y),intersection(x,identity_relation)),null_class),intersection(cross_product(y,y),intersection(x,identity_relation)))
| member(not_subclass_element(null_class,intersection(cross_product(y,y),intersection(x,identity_relation))),null_class) ),
inference(resolution,[],[f312,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(f312,plain,
( ~ subclass(null_class,intersection(cross_product(y,y),intersection(x,identity_relation)))
| member(not_subclass_element(intersection(cross_product(y,y),intersection(x,identity_relation)),null_class),intersection(cross_product(y,y),intersection(x,identity_relation))) ),
inference(resolution,[],[f292,f2]) ).
fof(f292,plain,
( ~ subclass(intersection(cross_product(y,y),intersection(x,identity_relation)),null_class)
| ~ subclass(null_class,intersection(cross_product(y,y),intersection(x,identity_relation))) ),
inference(extensionality_resolution,[],[f7,f231]) ).
fof(f231,plain,
null_class != intersection(cross_product(y,y),intersection(x,identity_relation)),
inference(definition_unfolding,[],[f160,f29]) ).
fof(f29,axiom,
! [X0,X1,X5] : restrict(X5,X0,X1) = intersection(cross_product(X0,X1),X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction2) ).
fof(f160,axiom,
null_class != restrict(intersection(x,identity_relation),y,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_irreflexive_class_property6_2) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f422,plain,
( ~ member(not_subclass_element(intersection(cross_product(y,y),intersection(x,identity_relation)),null_class),identity_relation)
| member(not_subclass_element(null_class,intersection(cross_product(y,y),intersection(x,identity_relation))),null_class) ),
inference(resolution,[],[f411,f24]) ).
fof(f411,plain,
( member(not_subclass_element(intersection(cross_product(y,y),intersection(x,identity_relation)),null_class),complement(identity_relation))
| member(not_subclass_element(null_class,intersection(cross_product(y,y),intersection(x,identity_relation))),null_class) ),
inference(subsumption_resolution,[],[f408,f318]) ).
fof(f318,plain,
( member(not_subclass_element(intersection(cross_product(y,y),intersection(x,identity_relation)),null_class),cross_product(y,y))
| member(not_subclass_element(null_class,intersection(cross_product(y,y),intersection(x,identity_relation))),null_class) ),
inference(resolution,[],[f316,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f408,plain,
( member(not_subclass_element(null_class,intersection(cross_product(y,y),intersection(x,identity_relation))),null_class)
| member(not_subclass_element(intersection(cross_product(y,y),intersection(x,identity_relation)),null_class),complement(identity_relation))
| ~ member(not_subclass_element(intersection(cross_product(y,y),intersection(x,identity_relation)),null_class),cross_product(y,y)) ),
inference(resolution,[],[f403,f322]) ).
fof(f322,plain,
( member(not_subclass_element(intersection(cross_product(y,y),intersection(x,identity_relation)),null_class),x)
| member(not_subclass_element(null_class,intersection(cross_product(y,y),intersection(x,identity_relation))),null_class) ),
inference(resolution,[],[f317,f21]) ).
fof(f403,plain,
! [X0] :
( ~ member(X0,x)
| ~ member(X0,cross_product(y,y))
| member(X0,complement(identity_relation)) ),
inference(resolution,[],[f402,f23]) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X0)
| ~ member(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
fof(f402,plain,
! [X0] :
( ~ member(X0,intersection(cross_product(y,y),x))
| member(X0,complement(identity_relation)) ),
inference(resolution,[],[f400,f1]) ).
fof(f400,plain,
subclass(intersection(cross_product(y,y),x),complement(identity_relation)),
inference(resolution,[],[f183,f159]) ).
fof(f159,axiom,
irreflexive(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_irreflexive_class_property6_1) ).
fof(f183,plain,
! [X0,X1] :
( ~ irreflexive(X0,X1)
| subclass(intersection(cross_product(X1,X1),X0),complement(identity_relation)) ),
inference(definition_unfolding,[],[f114,f29]) ).
fof(f114,axiom,
! [X0,X1] :
( subclass(restrict(X0,X1,X1),complement(identity_relation))
| ~ irreflexive(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexive1) ).
fof(f589,plain,
~ member(not_subclass_element(complement(universal_class),intersection(cross_product(y,y),intersection(x,identity_relation))),universal_class),
inference(resolution,[],[f547,f24]) ).
fof(f547,plain,
member(not_subclass_element(complement(universal_class),intersection(cross_product(y,y),intersection(x,identity_relation))),complement(universal_class)),
inference(backward_demodulation,[],[f424,f498]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM044-1 : 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
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 06:43:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.47 % (19163)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)
% 0.19/0.47 % (19155)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51 % (19154)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)
% 0.19/0.52 % (19148)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)
% 0.19/0.53 % (19143)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)
% 0.19/0.53 % (19172)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)
% 0.19/0.53 % (19146)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)
% 0.19/0.53 % (19150)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (19144)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)
% 0.19/0.53 % (19147)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (19145)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)
% 0.19/0.53 % (19165)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)
% 0.19/0.53 % (19150)Instruction limit reached!
% 0.19/0.53 % (19150)------------------------------
% 0.19/0.53 % (19150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (19150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (19150)Termination reason: Unknown
% 0.19/0.53 % (19150)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (19150)Memory used [KB]: 5628
% 0.19/0.53 % (19150)Time elapsed: 0.130 s
% 0.19/0.53 % (19150)Instructions burned: 9 (million)
% 0.19/0.53 % (19150)------------------------------
% 0.19/0.53 % (19150)------------------------------
% 0.19/0.53 % (19152)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)
% 0.19/0.53 % (19151)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 % (19153)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (19151)Instruction limit reached!
% 0.19/0.53 % (19151)------------------------------
% 0.19/0.53 % (19151)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (19151)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (19151)Termination reason: Unknown
% 0.19/0.53 % (19151)Termination phase: Function definition elimination
% 0.19/0.53
% 0.19/0.53 % (19151)Memory used [KB]: 1023
% 0.19/0.53 % (19151)Time elapsed: 0.002 s
% 0.19/0.53 % (19151)Instructions burned: 2 (million)
% 0.19/0.53 % (19151)------------------------------
% 0.19/0.53 % (19151)------------------------------
% 0.19/0.54 % (19171)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.54 % (19164)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54 % (19162)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)
% 0.19/0.54 % (19166)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)
% 0.19/0.54 % (19167)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54 % (19169)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)
% 0.19/0.54 % (19170)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)
% 0.19/0.54 % (19156)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (19158)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)
% 0.19/0.54 % (19168)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.55 % (19160)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.55 % (19157)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)
% 0.19/0.55 % (19161)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.55 % (19159)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)
% 0.19/0.55 % (19149)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)
% 0.19/0.59 % (19165)First to succeed.
% 0.19/0.59 % (19165)Refutation found. Thanks to Tanya!
% 0.19/0.59 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.59 % (19165)------------------------------
% 0.19/0.59 % (19165)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (19165)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (19165)Termination reason: Refutation
% 0.19/0.59
% 0.19/0.59 % (19165)Memory used [KB]: 1407
% 0.19/0.59 % (19165)Time elapsed: 0.140 s
% 0.19/0.59 % (19165)Instructions burned: 31 (million)
% 0.19/0.59 % (19165)------------------------------
% 0.19/0.59 % (19165)------------------------------
% 0.19/0.59 % (19142)Success in time 0.244 s
%------------------------------------------------------------------------------