TSTP Solution File: SET510-6 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET510-6 : 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 : n015.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 18:24:50 EDT 2022
% Result : Unsatisfiable 1.51s 0.60s
% Output : Refutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 21
% Syntax : Number of formulae : 58 ( 8 unt; 0 def)
% Number of atoms : 131 ( 31 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 127 ( 54 ~; 65 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 9 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f820,plain,
$false,
inference(avatar_sat_refutation,[],[f638,f662,f669,f670,f689,f765,f776,f796,f797]) ).
fof(f797,plain,
( spl1_66
| spl1_71 ),
inference(avatar_split_clause,[],[f777,f762,f734]) ).
fof(f734,plain,
( spl1_66
<=> universal_class = not_subclass_element(sF0,null_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_66])]) ).
fof(f762,plain,
( spl1_71
<=> subclass(sF0,null_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_71])]) ).
fof(f777,plain,
( universal_class = not_subclass_element(sF0,null_class)
| spl1_71 ),
inference(resolution,[],[f763,f628]) ).
fof(f628,plain,
! [X0] :
( subclass(sF0,X0)
| universal_class = not_subclass_element(sF0,X0) ),
inference(resolution,[],[f625,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f625,plain,
! [X0] :
( ~ member(X0,sF0)
| universal_class = X0 ),
inference(duplicate_literal_removal,[],[f624]) ).
fof(f624,plain,
! [X0] :
( universal_class = X0
| ~ member(X0,sF0)
| universal_class = X0 ),
inference(superposition,[],[f8,f181]) ).
fof(f181,plain,
unordered_pair(universal_class,universal_class) = sF0,
introduced(function_definition,[]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X2,unordered_pair(X0,X1))
| X1 = X2
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f763,plain,
( ~ subclass(sF0,null_class)
| spl1_71 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f796,plain,
( ~ spl1_1
| spl1_70
| ~ spl1_2
| ~ spl1_63 ),
inference(avatar_split_clause,[],[f781,f666,f207,f758,f203]) ).
fof(f203,plain,
( spl1_1
<=> member(universal_class,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f758,plain,
( spl1_70
<=> member(universal_class,null_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_70])]) ).
fof(f207,plain,
( spl1_2
<=> member(universal_class,sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f666,plain,
( spl1_63
<=> null_class = intersection(sF0,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_63])]) ).
fof(f781,plain,
( member(universal_class,null_class)
| ~ member(universal_class,universal_class)
| ~ spl1_2
| ~ spl1_63 ),
inference(resolution,[],[f708,f209]) ).
fof(f209,plain,
( member(universal_class,sF0)
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f708,plain,
( ! [X5] :
( ~ member(X5,sF0)
| member(X5,null_class)
| ~ member(X5,universal_class) )
| ~ spl1_63 ),
inference(superposition,[],[f23,f668]) ).
fof(f668,plain,
( null_class = intersection(sF0,universal_class)
| ~ spl1_63 ),
inference(avatar_component_clause,[],[f666]) ).
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) ).
fof(f776,plain,
( spl1_57
| ~ spl1_71
| ~ spl1_63 ),
inference(avatar_split_clause,[],[f774,f666,f762,f631]) ).
fof(f631,plain,
( spl1_57
<=> null_class = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl1_57])]) ).
fof(f774,plain,
( ~ subclass(sF0,null_class)
| null_class = sF0
| ~ spl1_63 ),
inference(resolution,[],[f773,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f773,plain,
( subclass(null_class,sF0)
| ~ spl1_63 ),
inference(duplicate_literal_removal,[],[f770]) ).
fof(f770,plain,
( subclass(null_class,sF0)
| subclass(null_class,sF0)
| ~ spl1_63 ),
inference(resolution,[],[f714,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f714,plain,
( ! [X0] :
( member(not_subclass_element(null_class,X0),sF0)
| subclass(null_class,X0) )
| ~ spl1_63 ),
inference(resolution,[],[f676,f2]) ).
fof(f676,plain,
( ! [X1] :
( ~ member(X1,null_class)
| member(X1,sF0) )
| ~ spl1_63 ),
inference(superposition,[],[f21,f668]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f765,plain,
( ~ spl1_70
| spl1_71
| ~ spl1_66 ),
inference(avatar_split_clause,[],[f755,f734,f762,f758]) ).
fof(f755,plain,
( subclass(sF0,null_class)
| ~ member(universal_class,null_class)
| ~ spl1_66 ),
inference(superposition,[],[f3,f736]) ).
fof(f736,plain,
( universal_class = not_subclass_element(sF0,null_class)
| ~ spl1_66 ),
inference(avatar_component_clause,[],[f734]) ).
fof(f689,plain,
( spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f677,f207,f203]) ).
fof(f677,plain,
( member(universal_class,universal_class)
| ~ spl1_2 ),
inference(resolution,[],[f672,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f672,plain,
( ! [X0] :
( ~ subclass(sF0,X0)
| member(universal_class,X0) )
| ~ spl1_2 ),
inference(resolution,[],[f209,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f670,plain,
( spl1_57
| spl1_2
| ~ spl1_58 ),
inference(avatar_split_clause,[],[f664,f635,f207,f631]) ).
fof(f635,plain,
( spl1_58
<=> universal_class = regular(sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_58])]) ).
fof(f664,plain,
( member(universal_class,sF0)
| null_class = sF0
| ~ spl1_58 ),
inference(superposition,[],[f66,f637]) ).
fof(f637,plain,
( universal_class = regular(sF0)
| ~ spl1_58 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f669,plain,
( spl1_63
| spl1_57
| ~ spl1_58 ),
inference(avatar_split_clause,[],[f663,f635,f631,f666]) ).
fof(f663,plain,
( null_class = sF0
| null_class = intersection(sF0,universal_class)
| ~ spl1_58 ),
inference(superposition,[],[f67,f637]) ).
fof(f67,axiom,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity2) ).
fof(f662,plain,
~ spl1_57,
inference(avatar_contradiction_clause,[],[f661]) ).
fof(f661,plain,
( $false
| ~ spl1_57 ),
inference(trivial_inequality_removal,[],[f660]) ).
fof(f660,plain,
( null_class != null_class
| ~ spl1_57 ),
inference(superposition,[],[f182,f633]) ).
fof(f633,plain,
( null_class = sF0
| ~ spl1_57 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f182,plain,
null_class != sF0,
inference(definition_folding,[],[f134,f181]) ).
fof(f134,plain,
null_class != unordered_pair(universal_class,universal_class),
inference(definition_unfolding,[],[f113,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f113,axiom,
null_class != singleton(universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_singleton_is_null_class_1) ).
fof(f638,plain,
( spl1_57
| spl1_58 ),
inference(avatar_split_clause,[],[f627,f635,f631]) ).
fof(f627,plain,
( universal_class = regular(sF0)
| null_class = sF0 ),
inference(resolution,[],[f625,f66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET510-6 : 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 : n015.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 14:09:06 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.52 % (5341)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)
% 0.20/0.53 % (5337)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 % (5328)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.33/0.53 % (5336)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.33/0.53 % (5340)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.33/0.53 % (5319)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.33/0.53 % (5316)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)
% 1.33/0.53 % (5318)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)
% 1.33/0.53 % (5324)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)
% 1.33/0.53 % (5333)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.33/0.54 % (5323)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.33/0.54 % (5322)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.33/0.54 % (5323)Instruction limit reached!
% 1.33/0.54 % (5323)------------------------------
% 1.33/0.54 % (5323)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.54 % (5323)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.54 % (5323)Termination reason: Unknown
% 1.33/0.54 % (5323)Termination phase: Property scanning
% 1.33/0.54
% 1.33/0.54 % (5323)Memory used [KB]: 1023
% 1.33/0.54 % (5323)Time elapsed: 0.003 s
% 1.33/0.54 % (5323)Instructions burned: 4 (million)
% 1.33/0.54 % (5323)------------------------------
% 1.33/0.54 % (5323)------------------------------
% 1.33/0.54 % (5320)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)
% 1.33/0.54 % (5315)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)
% 1.33/0.54 % (5335)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)
% 1.33/0.54 % (5325)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.33/0.54 % (5317)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)
% 1.33/0.54 % (5327)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.33/0.54 % (5329)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)
% 1.33/0.55 % (5326)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)
% 1.33/0.55 % (5339)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.33/0.55 % (5344)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)
% 1.33/0.55 % (5334)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)
% 1.33/0.55 % (5343)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.33/0.55 % (5342)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)
% 1.51/0.55 % (5321)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)
% 1.51/0.55 % (5332)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.51/0.56 % (5331)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)
% 1.51/0.56 % (5322)Instruction limit reached!
% 1.51/0.56 % (5322)------------------------------
% 1.51/0.56 % (5322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.56 % (5322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.56 % (5322)Termination reason: Unknown
% 1.51/0.56 % (5322)Termination phase: Saturation
% 1.51/0.56
% 1.51/0.56 % (5322)Memory used [KB]: 5500
% 1.51/0.56 % (5322)Time elapsed: 0.152 s
% 1.51/0.56 % (5322)Instructions burned: 7 (million)
% 1.51/0.56 % (5322)------------------------------
% 1.51/0.56 % (5322)------------------------------
% 1.51/0.57 % (5338)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)
% 1.51/0.57 % (5330)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)
% 1.51/0.59 % (5316)Refutation not found, incomplete strategy% (5316)------------------------------
% 1.51/0.59 % (5316)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.59 % (5316)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.59 % (5316)Termination reason: Refutation not found, incomplete strategy
% 1.51/0.59
% 1.51/0.59 % (5316)Memory used [KB]: 6396
% 1.51/0.59 % (5316)Time elapsed: 0.172 s
% 1.51/0.59 % (5316)Instructions burned: 36 (million)
% 1.51/0.59 % (5316)------------------------------
% 1.51/0.59 % (5316)------------------------------
% 1.51/0.60 % (5317)Instruction limit reached!
% 1.51/0.60 % (5317)------------------------------
% 1.51/0.60 % (5317)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.60 % (5326)First to succeed.
% 1.51/0.60 % (5326)Refutation found. Thanks to Tanya!
% 1.51/0.60 % SZS status Unsatisfiable for theBenchmark
% 1.51/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.51/0.60 % (5326)------------------------------
% 1.51/0.60 % (5326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.60 % (5326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.60 % (5326)Termination reason: Refutation
% 1.51/0.60
% 1.51/0.60 % (5326)Memory used [KB]: 6140
% 1.51/0.60 % (5326)Time elapsed: 0.197 s
% 1.51/0.60 % (5326)Instructions burned: 22 (million)
% 1.51/0.60 % (5326)------------------------------
% 1.51/0.60 % (5326)------------------------------
% 1.51/0.60 % (5314)Success in time 0.247 s
%------------------------------------------------------------------------------