TSTP Solution File: SET016-6 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET016-6 : 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 : n007.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 18:23:07 EDT 2022
% Result : Unsatisfiable 1.65s 0.61s
% Output : Refutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 24
% Syntax : Number of formulae : 62 ( 22 unt; 0 def)
% Number of atoms : 114 ( 35 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 91 ( 39 ~; 44 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 9 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 13 con; 0-2 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1572,plain,
$false,
inference(avatar_sat_refutation,[],[f186,f191,f233,f246,f248,f1513,f1537,f1560,f1570]) ).
fof(f1570,plain,
~ spl8_121,
inference(avatar_contradiction_clause,[],[f1569]) ).
fof(f1569,plain,
( $false
| ~ spl8_121 ),
inference(trivial_inequality_removal,[],[f1561]) ).
fof(f1561,plain,
( w != w
| ~ spl8_121 ),
inference(superposition,[],[f94,f1503]) ).
fof(f1503,plain,
( w = y
| ~ spl8_121 ),
inference(avatar_component_clause,[],[f1501]) ).
fof(f1501,plain,
( spl8_121
<=> w = y ),
introduced(avatar_definition,[new_symbols(naming,[spl8_121])]) ).
fof(f94,axiom,
w != y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ordered_pair_determines_components1_3) ).
fof(f1560,plain,
( spl8_121
| ~ spl8_3
| ~ spl8_123 ),
inference(avatar_split_clause,[],[f1558,f1510,f188,f1501]) ).
fof(f188,plain,
( spl8_3
<=> member(w,sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).
fof(f1510,plain,
( spl8_123
<=> sF4 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_123])]) ).
fof(f1558,plain,
( w = y
| ~ spl8_3
| ~ spl8_123 ),
inference(resolution,[],[f1541,f660]) ).
fof(f660,plain,
! [X3] :
( ~ member(X3,sF0)
| y = X3 ),
inference(duplicate_literal_removal,[],[f654]) ).
fof(f654,plain,
! [X3] :
( y = X3
| ~ member(X3,sF0)
| y = X3 ),
inference(superposition,[],[f8,f147]) ).
fof(f147,plain,
unordered_pair(y,y) = sF0,
introduced(function_definition,[]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X2,unordered_pair(X0,X1))
| X0 = X2
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f1541,plain,
( member(w,sF0)
| ~ spl8_3
| ~ spl8_123 ),
inference(superposition,[],[f190,f1512]) ).
fof(f1512,plain,
( sF4 = sF0
| ~ spl8_123 ),
inference(avatar_component_clause,[],[f1510]) ).
fof(f190,plain,
( member(w,sF4)
| ~ spl8_3 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f1537,plain,
( spl8_121
| ~ spl8_1
| ~ spl8_122 ),
inference(avatar_split_clause,[],[f1535,f1506,f179,f1501]) ).
fof(f179,plain,
( spl8_1
<=> member(w,sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
fof(f1506,plain,
( spl8_122
<=> sF6 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_122])]) ).
fof(f1535,plain,
( w = y
| ~ spl8_1
| ~ spl8_122 ),
inference(resolution,[],[f1526,f660]) ).
fof(f1526,plain,
( member(w,sF0)
| ~ spl8_1
| ~ spl8_122 ),
inference(superposition,[],[f181,f1508]) ).
fof(f1508,plain,
( sF6 = sF0
| ~ spl8_122 ),
inference(avatar_component_clause,[],[f1506]) ).
fof(f181,plain,
( member(w,sF6)
| ~ spl8_1 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f1513,plain,
( spl8_122
| spl8_123
| ~ spl8_12 ),
inference(avatar_split_clause,[],[f1318,f230,f1510,f1506]) ).
fof(f230,plain,
( spl8_12
<=> member(sF0,sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_12])]) ).
fof(f1318,plain,
( sF4 = sF0
| sF6 = sF0
| ~ spl8_12 ),
inference(resolution,[],[f663,f232]) ).
fof(f232,plain,
( member(sF0,sF3)
| ~ spl8_12 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f663,plain,
! [X7] :
( ~ member(X7,sF3)
| sF6 = X7
| sF4 = X7 ),
inference(forward_demodulation,[],[f658,f155]) ).
fof(f155,plain,
sF3 = sF7,
inference(definition_folding,[],[f129,f154,f153,f152,f151,f150,f149,f148,f147]) ).
fof(f148,plain,
unordered_pair(z,z) = sF1,
introduced(function_definition,[]) ).
fof(f149,plain,
unordered_pair(y,sF1) = sF2,
introduced(function_definition,[]) ).
fof(f150,plain,
unordered_pair(sF0,sF2) = sF3,
introduced(function_definition,[]) ).
fof(f151,plain,
unordered_pair(w,w) = sF4,
introduced(function_definition,[]) ).
fof(f152,plain,
sF5 = unordered_pair(x,x),
introduced(function_definition,[]) ).
fof(f153,plain,
sF6 = unordered_pair(w,sF5),
introduced(function_definition,[]) ).
fof(f154,plain,
unordered_pair(sF4,sF6) = sF7,
introduced(function_definition,[]) ).
fof(f129,plain,
unordered_pair(unordered_pair(y,y),unordered_pair(y,unordered_pair(z,z))) = unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))),
inference(definition_unfolding,[],[f92,f104,f104]) ).
fof(f104,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(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
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(f92,axiom,
ordered_pair(w,x) = ordered_pair(y,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ordered_pair_determines_components1_1) ).
fof(f658,plain,
! [X7] :
( sF4 = X7
| sF6 = X7
| ~ member(X7,sF7) ),
inference(superposition,[],[f8,f154]) ).
fof(f248,plain,
spl8_11,
inference(avatar_contradiction_clause,[],[f247]) ).
fof(f247,plain,
( $false
| spl8_11 ),
inference(resolution,[],[f228,f156]) ).
fof(f156,plain,
member(sF0,universal_class),
inference(superposition,[],[f11,f147]) ).
fof(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).
fof(f228,plain,
( ~ member(sF0,universal_class)
| spl8_11 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f226,plain,
( spl8_11
<=> member(sF0,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_11])]) ).
fof(f246,plain,
spl8_2,
inference(avatar_contradiction_clause,[],[f245]) ).
fof(f245,plain,
( $false
| spl8_2 ),
inference(resolution,[],[f185,f93]) ).
fof(f93,axiom,
member(w,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ordered_pair_determines_components1_2) ).
fof(f185,plain,
( ~ member(w,universal_class)
| spl8_2 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f183,plain,
( spl8_2
<=> member(w,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
fof(f233,plain,
( ~ spl8_11
| spl8_12 ),
inference(avatar_split_clause,[],[f176,f230,f226]) ).
fof(f176,plain,
( member(sF0,sF3)
| ~ member(sF0,universal_class) ),
inference(superposition,[],[f9,f150]) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f191,plain,
( spl8_3
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f170,f183,f188]) ).
fof(f170,plain,
( ~ member(w,universal_class)
| member(w,sF4) ),
inference(superposition,[],[f9,f151]) ).
fof(f186,plain,
( spl8_1
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f171,f183,f179]) ).
fof(f171,plain,
( ~ member(w,universal_class)
| member(w,sF6) ),
inference(superposition,[],[f9,f153]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET016-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % 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 : n007.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 12:38:46 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.51 % (16426)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (16419)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)
% 0.20/0.51 % (16432)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)
% 0.20/0.51 % (16445)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)
% 0.20/0.52 % (16429)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (16443)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)
% 0.20/0.52 % (16421)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)
% 0.20/0.52 % (16435)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)
% 0.20/0.53 % (16440)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53 % (16441)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53 % (16417)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)
% 0.20/0.54 % (16428)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.39/0.54 % (16422)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)
% 1.39/0.54 % (16433)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.39/0.54 % (16431)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)
% 1.39/0.55 % (16442)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)
% 1.39/0.55 % (16424)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.39/0.55 % (16427)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)
% 1.39/0.55 % (16424)Instruction limit reached!
% 1.39/0.55 % (16424)------------------------------
% 1.39/0.55 % (16424)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.55 % (16424)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.55 % (16424)Termination reason: Unknown
% 1.39/0.55 % (16424)Termination phase: Function definition elimination
% 1.39/0.55
% 1.39/0.55 % (16424)Memory used [KB]: 1023
% 1.39/0.55 % (16424)Time elapsed: 0.002 s
% 1.39/0.55 % (16424)Instructions burned: 2 (million)
% 1.39/0.55 % (16424)------------------------------
% 1.39/0.55 % (16424)------------------------------
% 1.39/0.55 % (16418)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)
% 1.39/0.55 % (16423)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.39/0.55 % (16439)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)
% 1.39/0.55 % (16434)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.39/0.55 % (16420)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.39/0.56 % (16430)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)
% 1.39/0.56 % (16425)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)
% 1.39/0.56 % (16437)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.39/0.56 % (16416)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)
% 1.39/0.56 % (16436)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)
% 1.65/0.57 % (16444)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.65/0.58 % (16422)Instruction limit reached!
% 1.65/0.58 % (16422)------------------------------
% 1.65/0.58 % (16422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.58 % (16423)Instruction limit reached!
% 1.65/0.58 % (16423)------------------------------
% 1.65/0.58 % (16423)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.58 % (16423)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.58 % (16423)Termination reason: Unknown
% 1.65/0.58 % (16423)Termination phase: Saturation
% 1.65/0.58
% 1.65/0.58 % (16423)Memory used [KB]: 5628
% 1.65/0.58 % (16423)Time elapsed: 0.169 s
% 1.65/0.58 % (16423)Instructions burned: 7 (million)
% 1.65/0.58 % (16423)------------------------------
% 1.65/0.58 % (16423)------------------------------
% 1.65/0.58 % (16438)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)
% 1.65/0.59 % (16419)First to succeed.
% 1.65/0.59 % (16422)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.59 % (16422)Termination reason: Unknown
% 1.65/0.59 % (16422)Termination phase: Finite model building preprocessing
% 1.65/0.59
% 1.65/0.59 % (16422)Memory used [KB]: 1535
% 1.65/0.59 % (16422)Time elapsed: 0.023 s
% 1.65/0.59 % (16422)Instructions burned: 52 (million)
% 1.65/0.59 % (16422)------------------------------
% 1.65/0.59 % (16422)------------------------------
% 1.65/0.61 % (16419)Refutation found. Thanks to Tanya!
% 1.65/0.61 % SZS status Unsatisfiable for theBenchmark
% 1.65/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.65/0.61 % (16419)------------------------------
% 1.65/0.61 % (16419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.61 % (16419)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.61 % (16419)Termination reason: Refutation
% 1.65/0.61
% 1.65/0.61 % (16419)Memory used [KB]: 6524
% 1.65/0.61 % (16419)Time elapsed: 0.199 s
% 1.65/0.61 % (16419)Instructions burned: 37 (million)
% 1.65/0.61 % (16419)------------------------------
% 1.65/0.61 % (16419)------------------------------
% 1.65/0.61 % (16415)Success in time 0.255 s
%------------------------------------------------------------------------------