TSTP Solution File: SET068-7 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET068-7 : 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 : n020.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 18:23:30 EDT 2022
% Result : Unsatisfiable 1.46s 0.58s
% Output : Refutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 18
% Syntax : Number of formulae : 48 ( 15 unt; 0 def)
% Number of atoms : 88 ( 21 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 72 ( 32 ~; 35 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f736,plain,
$false,
inference(avatar_sat_refutation,[],[f213,f573,f603,f607,f646,f735]) ).
fof(f735,plain,
~ spl2_3,
inference(avatar_contradiction_clause,[],[f734]) ).
fof(f734,plain,
( $false
| ~ spl2_3 ),
inference(subsumption_resolution,[],[f733,f212]) ).
fof(f212,plain,
( member(y,sF1)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f210,plain,
( spl2_3
<=> member(y,sF1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f733,plain,
~ member(y,sF1),
inference(subsumption_resolution,[],[f731,f168]) ).
fof(f168,plain,
~ subclass(sF0,sF1),
inference(definition_folding,[],[f133,f167,f166]) ).
fof(f166,plain,
sF0 = unordered_pair(y,y),
introduced(function_definition,[]) ).
fof(f167,plain,
unordered_pair(x,y) = sF1,
introduced(function_definition,[]) ).
fof(f133,plain,
~ subclass(unordered_pair(y,y),unordered_pair(x,y)),
inference(definition_unfolding,[],[f109,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f109,axiom,
~ subclass(singleton(y),unordered_pair(x,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair2_1) ).
fof(f731,plain,
( subclass(sF0,sF1)
| ~ member(y,sF1) ),
inference(superposition,[],[f3,f715]) ).
fof(f715,plain,
y = not_subclass_element(sF0,sF1),
inference(resolution,[],[f548,f168]) ).
fof(f548,plain,
! [X0] :
( subclass(sF0,X0)
| y = not_subclass_element(sF0,X0) ),
inference(resolution,[],[f545,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(f545,plain,
! [X0] :
( ~ member(X0,sF0)
| y = X0 ),
inference(duplicate_literal_removal,[],[f540]) ).
fof(f540,plain,
! [X0] :
( y = X0
| y = X0
| ~ member(X0,sF0) ),
inference(superposition,[],[f8,f166]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X2,unordered_pair(X0,X1))
| X0 = X2
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_member) ).
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(f646,plain,
( spl2_2
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f620,f201,f205]) ).
fof(f205,plain,
( spl2_2
<=> member(y,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f201,plain,
( spl2_1
<=> member(y,sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f620,plain,
( member(y,universal_class)
| ~ spl2_1 ),
inference(resolution,[],[f610,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f610,plain,
( ! [X0] :
( ~ subclass(sF0,X0)
| member(y,X0) )
| ~ spl2_1 ),
inference(resolution,[],[f203,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| member(X2,X1)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f203,plain,
( member(y,sF0)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f607,plain,
( spl2_1
| spl2_35
| ~ spl2_37 ),
inference(avatar_split_clause,[],[f606,f570,f561,f201]) ).
fof(f561,plain,
( spl2_35
<=> null_class = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_35])]) ).
fof(f570,plain,
( spl2_37
<=> y = regular(sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_37])]) ).
fof(f606,plain,
( member(y,sF0)
| spl2_35
| ~ spl2_37 ),
inference(subsumption_resolution,[],[f605,f562]) ).
fof(f562,plain,
( null_class != sF0
| spl2_35 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f605,plain,
( member(y,sF0)
| null_class = sF0
| ~ spl2_37 ),
inference(superposition,[],[f66,f572]) ).
fof(f572,plain,
( y = regular(sF0)
| ~ spl2_37 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f603,plain,
~ spl2_35,
inference(avatar_contradiction_clause,[],[f602]) ).
fof(f602,plain,
( $false
| ~ spl2_35 ),
inference(subsumption_resolution,[],[f601,f104]) ).
fof(f104,axiom,
! [X0] : subclass(null_class,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',null_class_is_subclass) ).
fof(f601,plain,
( ~ subclass(null_class,sF1)
| ~ spl2_35 ),
inference(superposition,[],[f168,f563]) ).
fof(f563,plain,
( null_class = sF0
| ~ spl2_35 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f573,plain,
( spl2_35
| spl2_37 ),
inference(avatar_split_clause,[],[f547,f570,f561]) ).
fof(f547,plain,
( y = regular(sF0)
| null_class = sF0 ),
inference(resolution,[],[f545,f66]) ).
fof(f213,plain,
( spl2_3
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f199,f205,f210]) ).
fof(f199,plain,
( ~ member(y,universal_class)
| member(y,sF1) ),
inference(superposition,[],[f9,f183]) ).
fof(f183,plain,
sF1 = unordered_pair(y,x),
inference(superposition,[],[f167,f108]) ).
fof(f108,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_unordered_pair) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET068-7 : 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
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 13:09:30 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.25/0.53 % (26500)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.25/0.53 % (26484)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.25/0.53 % (26493)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.25/0.54 % (26473)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)
% 1.25/0.54 % (26476)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)
% 1.25/0.54 % (26475)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.25/0.54 % (26492)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)
% 1.25/0.54 % (26487)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)
% 1.25/0.54 % (26494)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)
% 1.25/0.54 % (26472)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)
% 1.25/0.54 % (26485)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)
% 1.46/0.54 % (26488)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.46/0.54 % (26479)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.46/0.54 % (26479)Instruction limit reached!
% 1.46/0.54 % (26479)------------------------------
% 1.46/0.54 % (26479)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.54 % (26479)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.54 % (26479)Termination reason: Unknown
% 1.46/0.54 % (26479)Termination phase: Function definition elimination
% 1.46/0.54
% 1.46/0.54 % (26479)Memory used [KB]: 895
% 1.46/0.54 % (26479)Time elapsed: 0.002 s
% 1.46/0.54 % (26479)Instructions burned: 2 (million)
% 1.46/0.54 % (26479)------------------------------
% 1.46/0.54 % (26479)------------------------------
% 1.46/0.55 % (26481)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.46/0.55 % (26491)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)
% 1.46/0.55 % (26474)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)
% 1.46/0.55 % (26478)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.46/0.55 % (26496)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.46/0.55 % (26497)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.46/0.55 % (26501)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)
% 1.46/0.55 % (26482)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)
% 1.46/0.55 % (26483)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.46/0.55 % (26486)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)
% 1.46/0.56 % (26499)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)
% 1.46/0.56 % (26498)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)
% 1.46/0.56 % (26480)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)
% 1.46/0.56 % (26471)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)
% 1.46/0.56 % (26477)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)
% 1.46/0.56 % (26495)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)
% 1.46/0.56 % (26484)First to succeed.
% 1.46/0.56 % (26478)Instruction limit reached!
% 1.46/0.56 % (26478)------------------------------
% 1.46/0.56 % (26478)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.56 % (26478)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.56 % (26478)Termination reason: Unknown
% 1.46/0.56 % (26478)Termination phase: Saturation
% 1.46/0.56
% 1.46/0.56 % (26478)Memory used [KB]: 5628
% 1.46/0.56 % (26478)Time elapsed: 0.143 s
% 1.46/0.56 % (26478)Instructions burned: 8 (million)
% 1.46/0.56 % (26478)------------------------------
% 1.46/0.56 % (26478)------------------------------
% 1.46/0.57 % (26489)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.46/0.58 % (26484)Refutation found. Thanks to Tanya!
% 1.46/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.46/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.46/0.58 % (26484)------------------------------
% 1.46/0.58 % (26484)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.58 % (26484)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.58 % (26484)Termination reason: Refutation
% 1.46/0.58
% 1.46/0.58 % (26484)Memory used [KB]: 6140
% 1.46/0.58 % (26484)Time elapsed: 0.138 s
% 1.46/0.58 % (26484)Instructions burned: 21 (million)
% 1.46/0.58 % (26484)------------------------------
% 1.46/0.58 % (26484)------------------------------
% 1.46/0.58 % (26470)Success in time 0.221 s
%------------------------------------------------------------------------------