TSTP Solution File: SET157-6 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET157-6 : 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 : n024.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 0.18s 0.56s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 47 ( 12 unt; 0 def)
% Number of atoms : 91 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 92 ( 48 ~; 44 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f385,plain,
$false,
inference(subsumption_resolution,[],[f382,f316]) ).
fof(f316,plain,
member(not_subclass_element(complement(x),y),complement(x)),
inference(subsumption_resolution,[],[f313,f287]) ).
fof(f287,plain,
( member(not_subclass_element(y,complement(x)),x)
| member(not_subclass_element(complement(x),y),complement(x)) ),
inference(subsumption_resolution,[],[f283,f247]) ).
fof(f247,plain,
( member(not_subclass_element(y,complement(x)),universal_class)
| member(not_subclass_element(complement(x),y),complement(x)) ),
inference(resolution,[],[f243,f199]) ).
fof(f199,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(f243,plain,
( member(not_subclass_element(y,complement(x)),y)
| member(not_subclass_element(complement(x),y),complement(x)) ),
inference(resolution,[],[f241,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(f241,plain,
( ~ subclass(complement(x),y)
| member(not_subclass_element(y,complement(x)),y) ),
inference(resolution,[],[f224,f2]) ).
fof(f224,plain,
( ~ subclass(y,complement(x))
| ~ subclass(complement(x),y) ),
inference(extensionality_resolution,[],[f7,f115]) ).
fof(f115,axiom,
y != complement(x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_complement_is_unique_3) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f283,plain,
( member(not_subclass_element(complement(x),y),complement(x))
| ~ member(not_subclass_element(y,complement(x)),universal_class)
| member(not_subclass_element(y,complement(x)),x) ),
inference(resolution,[],[f25,f245]) ).
fof(f245,plain,
( ~ member(not_subclass_element(y,complement(x)),complement(x))
| member(not_subclass_element(complement(x),y),complement(x)) ),
inference(resolution,[],[f240,f2]) ).
fof(f240,plain,
( ~ subclass(complement(x),y)
| ~ member(not_subclass_element(y,complement(x)),complement(x)) ),
inference(resolution,[],[f224,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(f25,axiom,
! [X0,X4] :
( member(X4,complement(X0))
| member(X4,X0)
| ~ member(X4,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).
fof(f313,plain,
( member(not_subclass_element(complement(x),y),complement(x))
| ~ member(not_subclass_element(y,complement(x)),x) ),
inference(resolution,[],[f309,f243]) ).
fof(f309,plain,
! [X4] :
( ~ member(X4,y)
| ~ member(X4,x) ),
inference(subsumption_resolution,[],[f308,f278]) ).
fof(f278,plain,
! [X0] : ~ member(X0,null_class),
inference(subsumption_resolution,[],[f274,f199]) ).
fof(f274,plain,
! [X0] :
( ~ member(X0,universal_class)
| ~ member(X0,null_class) ),
inference(backward_demodulation,[],[f185,f273]) ).
fof(f273,plain,
null_class = intersection(complement(x),complement(y)),
inference(duplicate_literal_removal,[],[f269]) ).
fof(f269,plain,
( null_class = intersection(complement(x),complement(y))
| null_class = intersection(complement(x),complement(y)) ),
inference(resolution,[],[f213,f188]) ).
fof(f188,plain,
( ~ member(regular(intersection(complement(x),complement(y))),universal_class)
| null_class = intersection(complement(x),complement(y)) ),
inference(resolution,[],[f66,f185]) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f213,plain,
! [X0] :
( member(regular(X0),universal_class)
| null_class = X0 ),
inference(resolution,[],[f199,f66]) ).
fof(f185,plain,
! [X0] :
( ~ member(X0,intersection(complement(x),complement(y)))
| ~ member(X0,universal_class) ),
inference(superposition,[],[f24,f158]) ).
fof(f158,plain,
universal_class = 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,
universal_class = union(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_complement_is_unique_1) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f308,plain,
! [X4] :
( ~ member(X4,x)
| member(X4,null_class)
| ~ member(X4,y) ),
inference(superposition,[],[f23,f114]) ).
fof(f114,axiom,
null_class = intersection(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_complement_is_unique_2) ).
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(f382,plain,
~ member(not_subclass_element(complement(x),y),complement(x)),
inference(resolution,[],[f361,f317]) ).
fof(f317,plain,
~ member(not_subclass_element(complement(x),y),y),
inference(subsumption_resolution,[],[f314,f286]) ).
fof(f286,plain,
( member(not_subclass_element(y,complement(x)),x)
| ~ member(not_subclass_element(complement(x),y),y) ),
inference(subsumption_resolution,[],[f284,f246]) ).
fof(f246,plain,
( member(not_subclass_element(y,complement(x)),universal_class)
| ~ member(not_subclass_element(complement(x),y),y) ),
inference(resolution,[],[f242,f199]) ).
fof(f242,plain,
( member(not_subclass_element(y,complement(x)),y)
| ~ member(not_subclass_element(complement(x),y),y) ),
inference(resolution,[],[f241,f3]) ).
fof(f284,plain,
( ~ member(not_subclass_element(y,complement(x)),universal_class)
| member(not_subclass_element(y,complement(x)),x)
| ~ member(not_subclass_element(complement(x),y),y) ),
inference(resolution,[],[f25,f244]) ).
fof(f244,plain,
( ~ member(not_subclass_element(y,complement(x)),complement(x))
| ~ member(not_subclass_element(complement(x),y),y) ),
inference(resolution,[],[f240,f3]) ).
fof(f314,plain,
( ~ member(not_subclass_element(y,complement(x)),x)
| ~ member(not_subclass_element(complement(x),y),y) ),
inference(resolution,[],[f309,f242]) ).
fof(f361,plain,
! [X0] :
( member(X0,y)
| ~ member(X0,complement(x)) ),
inference(subsumption_resolution,[],[f358,f199]) ).
fof(f358,plain,
! [X0] :
( member(X0,y)
| ~ member(X0,complement(x))
| ~ member(X0,universal_class) ),
inference(resolution,[],[f310,f25]) ).
fof(f310,plain,
! [X2] :
( ~ member(X2,complement(y))
| ~ member(X2,complement(x)) ),
inference(subsumption_resolution,[],[f306,f278]) ).
fof(f306,plain,
! [X2] :
( member(X2,null_class)
| ~ member(X2,complement(x))
| ~ member(X2,complement(y)) ),
inference(superposition,[],[f23,f273]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET157-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13 % 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 : n024.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 13:25:49 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.49 % (18912)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)
% 0.18/0.50 % (18919)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.50 % (18919)Instruction limit reached!
% 0.18/0.50 % (18919)------------------------------
% 0.18/0.50 % (18919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (18919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (18919)Termination reason: Unknown
% 0.18/0.50 % (18919)Termination phase: Saturation
% 0.18/0.50
% 0.18/0.50 % (18919)Memory used [KB]: 5628
% 0.18/0.50 % (18919)Time elapsed: 0.101 s
% 0.18/0.50 % (18919)Instructions burned: 7 (million)
% 0.18/0.50 % (18919)------------------------------
% 0.18/0.50 % (18919)------------------------------
% 0.18/0.51 % (18916)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51 % (18924)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.51 % (18932)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)
% 0.18/0.51 % (18927)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)
% 0.18/0.52 % (18926)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)
% 0.18/0.52 % (18915)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)
% 0.18/0.52 % (18939)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)
% 0.18/0.52 % (18918)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)
% 0.18/0.52 % (18914)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)
% 0.18/0.53 % (18941)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)
% 0.18/0.53 % (18921)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)
% 0.18/0.53 % (18913)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)
% 0.18/0.53 % (18922)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.53 % (18917)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)
% 0.18/0.53 % (18934)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)
% 0.18/0.53 % (18920)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.53 % (18940)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.53 % (18920)Instruction limit reached!
% 0.18/0.53 % (18920)------------------------------
% 0.18/0.53 % (18920)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (18920)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (18920)Termination reason: Unknown
% 0.18/0.53 % (18920)Termination phase: Property scanning
% 0.18/0.53
% 0.18/0.53 % (18920)Memory used [KB]: 1023
% 0.18/0.53 % (18920)Time elapsed: 0.004 s
% 0.18/0.53 % (18920)Instructions burned: 4 (million)
% 0.18/0.53 % (18920)------------------------------
% 0.18/0.53 % (18920)------------------------------
% 0.18/0.53 % (18933)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.54 % (18936)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.54 % (18931)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)
% 0.18/0.54 % (18937)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.54 % (18935)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)
% 0.18/0.54 % (18938)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)
% 0.18/0.54 % (18928)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)
% 0.18/0.54 % (18923)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)
% 0.18/0.54 % (18929)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.55 % (18925)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.55 % (18930)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.56 % (18934)First to succeed.
% 0.18/0.56 % (18934)Refutation found. Thanks to Tanya!
% 0.18/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.56 % (18934)------------------------------
% 0.18/0.56 % (18934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (18934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (18934)Termination reason: Refutation
% 0.18/0.56
% 0.18/0.56 % (18934)Memory used [KB]: 1279
% 0.18/0.56 % (18934)Time elapsed: 0.128 s
% 0.18/0.56 % (18934)Instructions burned: 16 (million)
% 0.18/0.56 % (18934)------------------------------
% 0.18/0.56 % (18934)------------------------------
% 0.18/0.56 % (18911)Success in time 0.214 s
%------------------------------------------------------------------------------