TSTP Solution File: SEU147+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU147+3 : TPTP v8.1.0. Bugfixed v4.0.0.
% 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 : n011.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 18:32:09 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 58 ( 17 unt; 0 def)
% Number of atoms : 116 ( 37 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 98 ( 40 ~; 45 |; 0 &)
% ( 10 <=>; 2 =>; 0 <=; 1 <~>)
% 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 48 ( 47 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f137,plain,
$false,
inference(avatar_sat_refutation,[],[f105,f120,f122,f124,f132,f136]) ).
fof(f136,plain,
( spl7_2
| ~ spl7_1 ),
inference(avatar_split_clause,[],[f135,f94,f98]) ).
fof(f98,plain,
( spl7_2
<=> empty_set = sK4(sF5,sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).
fof(f94,plain,
( spl7_1
<=> subset(sK4(sF5,sF6),empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).
fof(f135,plain,
( empty_set = sK4(sF5,sF6)
| ~ spl7_1 ),
inference(resolution,[],[f96,f34]) ).
fof(f34,plain,
! [X0] :
( ~ subset(X0,empty_set)
| empty_set = X0 ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0] :
( empty_set = X0
| ~ subset(X0,empty_set) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( subset(X0,empty_set)
=> empty_set = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_1) ).
fof(f96,plain,
( subset(sK4(sF5,sF6),empty_set)
| ~ spl7_1 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f132,plain,
~ spl7_3,
inference(avatar_contradiction_clause,[],[f131]) ).
fof(f131,plain,
( $false
| ~ spl7_3 ),
inference(trivial_inequality_removal,[],[f125]) ).
fof(f125,plain,
( sF5 != sF5
| ~ spl7_3 ),
inference(superposition,[],[f42,f104]) ).
fof(f104,plain,
( sF5 = sF6
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f102,plain,
( spl7_3
<=> sF5 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).
fof(f42,plain,
sF5 != sF6,
inference(definition_folding,[],[f28,f41,f40]) ).
fof(f40,plain,
powerset(empty_set) = sF5,
introduced(function_definition,[]) ).
fof(f41,plain,
singleton(empty_set) = sF6,
introduced(function_definition,[]) ).
fof(f28,plain,
powerset(empty_set) != singleton(empty_set),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
powerset(empty_set) != singleton(empty_set),
inference(flattening,[],[f9]) ).
fof(f9,negated_conjecture,
powerset(empty_set) != singleton(empty_set),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
powerset(empty_set) = singleton(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_zfmisc_1) ).
fof(f124,plain,
spl7_5,
inference(avatar_contradiction_clause,[],[f123]) ).
fof(f123,plain,
( $false
| spl7_5 ),
inference(resolution,[],[f119,f55]) ).
fof(f55,plain,
in(empty_set,sF5),
inference(resolution,[],[f53,f18]) ).
fof(f18,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f53,plain,
! [X0] :
( ~ subset(X0,empty_set)
| in(X0,sF5) ),
inference(superposition,[],[f38,f40]) ).
fof(f38,plain,
! [X2,X0] :
( in(X2,powerset(X0))
| ~ subset(X2,X0) ),
inference(equality_resolution,[],[f27]) ).
fof(f27,plain,
! [X2,X0,X1] :
( powerset(X0) != X1
| in(X2,X1)
| ~ subset(X2,X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( ! [X2] :
( subset(X2,X0)
<=> in(X2,X1) )
<=> powerset(X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_zfmisc_1) ).
fof(f119,plain,
( ~ in(empty_set,sF5)
| spl7_5 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f117,plain,
( spl7_5
<=> in(empty_set,sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_5])]) ).
fof(f122,plain,
spl7_4,
inference(avatar_contradiction_clause,[],[f121]) ).
fof(f121,plain,
( $false
| spl7_4 ),
inference(resolution,[],[f115,f43]) ).
fof(f43,plain,
in(empty_set,sF6),
inference(superposition,[],[f36,f41]) ).
fof(f36,plain,
! [X2] : in(X2,singleton(X2)),
inference(equality_resolution,[],[f35]) ).
fof(f35,plain,
! [X2,X0] :
( in(X2,singleton(X0))
| X0 != X2 ),
inference(equality_resolution,[],[f22]) ).
fof(f22,plain,
! [X2,X0,X1] :
( singleton(X0) != X1
| in(X2,X1)
| X0 != X2 ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( ! [X2] :
( X0 = X2
<=> in(X2,X1) )
<=> singleton(X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
fof(f115,plain,
( ~ in(empty_set,sF6)
| spl7_4 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f113,plain,
( spl7_4
<=> in(empty_set,sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).
fof(f120,plain,
( ~ spl7_4
| ~ spl7_5
| spl7_3
| ~ spl7_2 ),
inference(avatar_split_clause,[],[f109,f98,f102,f117,f113]) ).
fof(f109,plain,
( sF5 = sF6
| ~ in(empty_set,sF5)
| ~ in(empty_set,sF6)
| ~ spl7_2 ),
inference(superposition,[],[f33,f100]) ).
fof(f100,plain,
( empty_set = sK4(sF5,sF6)
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f33,plain,
! [X0,X1] :
( ~ in(sK4(X0,X1),X1)
| X0 = X1
| ~ in(sK4(X0,X1),X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( ? [X2] :
( in(X2,X1)
<~> in(X2,X0) )
| X0 = X1 ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X1,X0] :
( ! [X2] :
( in(X2,X0)
<=> in(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).
fof(f105,plain,
( spl7_1
| spl7_2
| spl7_3 ),
inference(avatar_split_clause,[],[f89,f102,f98,f94]) ).
fof(f89,plain,
( sF5 = sF6
| empty_set = sK4(sF5,sF6)
| subset(sK4(sF5,sF6),empty_set) ),
inference(resolution,[],[f62,f57]) ).
fof(f57,plain,
! [X0] :
( ~ in(X0,sF5)
| subset(X0,empty_set) ),
inference(superposition,[],[f39,f40]) ).
fof(f39,plain,
! [X2,X0] :
( ~ in(X2,powerset(X0))
| subset(X2,X0) ),
inference(equality_resolution,[],[f26]) ).
fof(f26,plain,
! [X2,X0,X1] :
( powerset(X0) != X1
| ~ in(X2,X1)
| subset(X2,X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f62,plain,
! [X6] :
( in(sK4(X6,sF6),X6)
| sF6 = X6
| empty_set = sK4(X6,sF6) ),
inference(resolution,[],[f32,f49]) ).
fof(f49,plain,
! [X0] :
( ~ in(X0,sF6)
| empty_set = X0 ),
inference(superposition,[],[f37,f41]) ).
fof(f37,plain,
! [X2,X0] :
( ~ in(X2,singleton(X0))
| X0 = X2 ),
inference(equality_resolution,[],[f21]) ).
fof(f21,plain,
! [X2,X0,X1] :
( singleton(X0) != X1
| ~ in(X2,X1)
| X0 = X2 ),
inference(cnf_transformation,[],[f2]) ).
fof(f32,plain,
! [X0,X1] :
( in(sK4(X0,X1),X1)
| in(sK4(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU147+3 : TPTP v8.1.0. Bugfixed v4.0.0.
% 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 : n011.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 14:42:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (19258)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)
% 0.19/0.51 % (19269)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)
% 0.19/0.51 % (19264)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)
% 0.19/0.51 % (19272)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)
% 0.19/0.52 % (19266)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.52 TRYING [3]
% 0.19/0.52 TRYING [4]
% 0.19/0.52 % (19265)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 TRYING [5]
% 0.19/0.52 % (19274)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)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.52 TRYING [3]
% 0.19/0.53 TRYING [4]
% 0.19/0.53 % (19281)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)
% 0.19/0.53 % (19259)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)
% 0.19/0.53 % (19261)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)
% 0.19/0.53 % (19259)Refutation not found, incomplete strategy% (19259)------------------------------
% 0.19/0.53 % (19259)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (19259)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (19259)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (19259)Memory used [KB]: 5373
% 0.19/0.53 % (19259)Time elapsed: 0.123 s
% 0.19/0.53 % (19259)Instructions burned: 2 (million)
% 0.19/0.53 % (19259)------------------------------
% 0.19/0.53 % (19259)------------------------------
% 0.19/0.53 TRYING [5]
% 0.19/0.53 % (19273)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)
% 0.19/0.53 % (19261)First to succeed.
% 0.19/0.53 % (19280)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)
% 0.19/0.53 % (19261)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (19261)------------------------------
% 0.19/0.53 % (19261)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (19261)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (19261)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (19261)Memory used [KB]: 5500
% 0.19/0.53 % (19261)Time elapsed: 0.130 s
% 0.19/0.53 % (19261)Instructions burned: 4 (million)
% 0.19/0.53 % (19261)------------------------------
% 0.19/0.53 % (19261)------------------------------
% 0.19/0.53 % (19257)Success in time 0.179 s
%------------------------------------------------------------------------------