TSTP Solution File: SET064-6 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET064-6 : 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 : n006.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 18:23:28 EDT 2022
% Result : Unsatisfiable 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 38 ( 10 unt; 0 def)
% Number of atoms : 75 ( 17 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 70 ( 33 ~; 33 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f535,plain,
$false,
inference(avatar_sat_refutation,[],[f159,f516,f518,f526,f534]) ).
fof(f534,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f532]) ).
fof(f532,plain,
( $false
| ~ spl1_1 ),
inference(resolution,[],[f154,f146]) ).
fof(f146,plain,
~ member(sF0,z),
inference(definition_folding,[],[f93,f145]) ).
fof(f145,plain,
not_subclass_element(z,null_class) = sF0,
introduced(function_definition,[]) ).
fof(f93,axiom,
~ member(not_subclass_element(z,null_class),z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_null_class_is_unique_2) ).
fof(f154,plain,
( member(sF0,z)
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f152,plain,
( spl1_1
<=> member(sF0,z) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f526,plain,
~ spl1_18,
inference(avatar_contradiction_clause,[],[f525]) ).
fof(f525,plain,
( $false
| ~ spl1_18 ),
inference(trivial_inequality_removal,[],[f519]) ).
fof(f519,plain,
( null_class != null_class
| ~ spl1_18 ),
inference(superposition,[],[f92,f279]) ).
fof(f279,plain,
( null_class = z
| ~ spl1_18 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f277,plain,
( spl1_18
<=> null_class = z ),
introduced(avatar_definition,[new_symbols(naming,[spl1_18])]) ).
fof(f92,axiom,
null_class != z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_null_class_is_unique_1) ).
fof(f518,plain,
spl1_45,
inference(avatar_contradiction_clause,[],[f517]) ).
fof(f517,plain,
( $false
| spl1_45 ),
inference(resolution,[],[f515,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f515,plain,
( ~ subclass(z,universal_class)
| spl1_45 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f513,plain,
( spl1_45
<=> subclass(z,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_45])]) ).
fof(f516,plain,
( spl1_18
| ~ spl1_45
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f511,f156,f513,f277]) ).
fof(f156,plain,
( spl1_2
<=> subclass(z,null_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f511,plain,
( ~ subclass(z,universal_class)
| null_class = z
| ~ spl1_2 ),
inference(resolution,[],[f508,f158]) ).
fof(f158,plain,
( subclass(z,null_class)
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f508,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0
| ~ subclass(X0,universal_class) ),
inference(duplicate_literal_removal,[],[f506]) ).
fof(f506,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0
| null_class = X0
| ~ subclass(X0,universal_class) ),
inference(resolution,[],[f435,f172]) ).
fof(f172,plain,
! [X6,X7] :
( member(regular(X6),X7)
| null_class = X6
| ~ subclass(X6,X7) ),
inference(resolution,[],[f1,f66]) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| member(X2,X1)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f435,plain,
! [X1] :
( ~ member(regular(X1),universal_class)
| null_class = X1
| ~ subclass(X1,null_class) ),
inference(resolution,[],[f425,f172]) ).
fof(f425,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f24,f413]) ).
fof(f413,plain,
null_class = complement(universal_class),
inference(resolution,[],[f411,f4]) ).
fof(f411,plain,
! [X0] :
( ~ subclass(complement(X0),X0)
| complement(X0) = null_class ),
inference(duplicate_literal_removal,[],[f403]) ).
fof(f403,plain,
! [X0] :
( complement(X0) = null_class
| ~ subclass(complement(X0),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f172,f148]) ).
fof(f148,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/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f159,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f150,f156,f152]) ).
fof(f150,plain,
( subclass(z,null_class)
| member(sF0,z) ),
inference(superposition,[],[f2,f145]) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET064-6 : 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 : n006.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 13:04:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.51 % (22353)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)
% 0.20/0.52 % (22367)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)
% 0.20/0.52 % (22359)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)
% 0.20/0.52 % (22361)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.53 % (22350)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)
% 0.20/0.53 % (22345)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)
% 0.20/0.53 % (22347)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)
% 0.20/0.53 % (22372)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53 % (22369)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 % (22348)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (22355)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)
% 0.20/0.53 % (22354)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (22349)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)
% 0.20/0.54 % (22368)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54 % (22346)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)
% 0.20/0.54 % (22365)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54 % (22366)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)
% 0.20/0.54 % (22371)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)
% 0.20/0.55 % (22364)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)
% 0.20/0.55 % (22352)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55 % (22352)Instruction limit reached!
% 0.20/0.55 % (22352)------------------------------
% 0.20/0.55 % (22352)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (22352)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (22352)Termination reason: Unknown
% 0.20/0.55 % (22352)Termination phase: Function definition elimination
% 0.20/0.55
% 0.20/0.55 % (22352)Memory used [KB]: 895
% 0.20/0.55 % (22352)Time elapsed: 0.002 s
% 0.20/0.55 % (22352)Instructions burned: 2 (million)
% 0.20/0.55 % (22352)------------------------------
% 0.20/0.55 % (22352)------------------------------
% 0.20/0.55 % (22344)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)
% 0.20/0.55 % (22357)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55 % (22363)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)
% 0.20/0.55 % (22362)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 % (22370)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)
% 0.20/0.55 % (22356)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.55 % (22358)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)
% 0.20/0.55 % (22351)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.56 % (22373)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)
% 0.20/0.56 % (22347)First to succeed.
% 0.20/0.56 % (22351)Instruction limit reached!
% 0.20/0.56 % (22351)------------------------------
% 0.20/0.56 % (22351)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (22351)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (22351)Termination reason: Unknown
% 0.20/0.56 % (22351)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (22351)Memory used [KB]: 5628
% 0.20/0.56 % (22351)Time elapsed: 0.143 s
% 0.20/0.56 % (22351)Instructions burned: 8 (million)
% 0.20/0.56 % (22351)------------------------------
% 0.20/0.56 % (22351)------------------------------
% 0.20/0.56 % (22347)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56 % (22347)------------------------------
% 0.20/0.56 % (22347)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (22347)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (22347)Termination reason: Refutation
% 0.20/0.56
% 0.20/0.56 % (22347)Memory used [KB]: 5756
% 0.20/0.56 % (22347)Time elapsed: 0.158 s
% 0.20/0.56 % (22347)Instructions burned: 13 (million)
% 0.20/0.56 % (22347)------------------------------
% 0.20/0.56 % (22347)------------------------------
% 0.20/0.56 % (22340)Success in time 0.209 s
%------------------------------------------------------------------------------