TSTP Solution File: SET071+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET071+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n018.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 18:18:55 EDT 2022
% Result : Theorem 0.20s 0.58s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 61 ( 10 unt; 0 def)
% Number of atoms : 180 ( 41 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 198 ( 79 ~; 63 |; 38 &)
% ( 11 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 78 ( 69 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f417,plain,
$false,
inference(avatar_sat_refutation,[],[f302,f352,f376,f380,f416]) ).
fof(f416,plain,
( spl8_3
| ~ spl8_12 ),
inference(avatar_contradiction_clause,[],[f410]) ).
fof(f410,plain,
( $false
| spl8_3
| ~ spl8_12 ),
inference(unit_resulting_resolution,[],[f228,f189,f398,f161]) ).
fof(f161,plain,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subclass(X0,X1) )
& ( subclass(X0,X1)
| ( member(sK0(X0,X1),X0)
& ~ member(sK0(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f93,f94]) ).
fof(f94,plain,
! [X0,X1] :
( ? [X3] :
( member(X3,X0)
& ~ member(X3,X1) )
=> ( member(sK0(X0,X1),X0)
& ~ member(sK0(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subclass(X0,X1) )
& ( subclass(X0,X1)
| ? [X3] :
( member(X3,X0)
& ~ member(X3,X1) ) ) ),
inference(rectify,[],[f92]) ).
fof(f92,plain,
! [X1,X0] :
( ( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
| ~ subclass(X1,X0) )
& ( subclass(X1,X0)
| ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) ) ) ),
inference(nnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X1,X0] :
( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
<=> subclass(X1,X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( ! [X2] :
( member(X2,X1)
=> member(X2,X0) )
<=> subclass(X1,X0) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
<=> subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_defn) ).
fof(f398,plain,
( member(sK5,unordered_pair(sK5,sK4))
| spl8_3
| ~ spl8_12 ),
inference(forward_demodulation,[],[f390,f351]) ).
fof(f351,plain,
( sK0(unordered_pair(sK5,sK4),null_class) = sK5
| ~ spl8_12 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f350,plain,
( spl8_12
<=> sK0(unordered_pair(sK5,sK4),null_class) = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_12])]) ).
fof(f390,plain,
( member(sK0(unordered_pair(sK5,sK4),null_class),unordered_pair(sK5,sK4))
| spl8_3 ),
inference(resolution,[],[f297,f160]) ).
fof(f160,plain,
! [X0,X1] :
( subclass(X0,X1)
| member(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f297,plain,
( ~ subclass(unordered_pair(sK5,sK4),null_class)
| spl8_3 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f296,plain,
( spl8_3
<=> subclass(unordered_pair(sK5,sK4),null_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).
fof(f189,plain,
! [X0] : subclass(X0,universal_class),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f228,plain,
~ member(sK5,universal_class),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
( ~ member(sK4,universal_class)
& null_class != unordered_pair(sK5,sK4)
& ~ member(sK5,universal_class) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f87,f145]) ).
fof(f145,plain,
( ? [X0,X1] :
( ~ member(X0,universal_class)
& null_class != unordered_pair(X1,X0)
& ~ member(X1,universal_class) )
=> ( ~ member(sK4,universal_class)
& null_class != unordered_pair(sK5,sK4)
& ~ member(sK5,universal_class) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
? [X0,X1] :
( ~ member(X0,universal_class)
& null_class != unordered_pair(X1,X0)
& ~ member(X1,universal_class) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
? [X0,X1] :
( null_class != unordered_pair(X1,X0)
& ~ member(X1,universal_class)
& ~ member(X0,universal_class) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
~ ! [X0,X1] :
( ( ~ member(X1,universal_class)
& ~ member(X0,universal_class) )
=> null_class = unordered_pair(X1,X0) ),
inference(rectify,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X1,X0] :
( ( ~ member(X0,universal_class)
& ~ member(X1,universal_class) )
=> unordered_pair(X0,X1) = null_class ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X1,X0] :
( ( ~ member(X0,universal_class)
& ~ member(X1,universal_class) )
=> unordered_pair(X0,X1) = null_class ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_unordered_pair) ).
fof(f380,plain,
spl8_4,
inference(avatar_contradiction_clause,[],[f377]) ).
fof(f377,plain,
( $false
| spl8_4 ),
inference(unit_resulting_resolution,[],[f234,f300,f160]) ).
fof(f300,plain,
( ~ subclass(null_class,unordered_pair(sK5,sK4))
| spl8_4 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f299,plain,
( spl8_4
<=> subclass(null_class,unordered_pair(sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_4])]) ).
fof(f234,plain,
! [X0] : ~ member(X0,null_class),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] : ~ member(X0,null_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_class_defn) ).
fof(f376,plain,
( spl8_3
| ~ spl8_11 ),
inference(avatar_contradiction_clause,[],[f369]) ).
fof(f369,plain,
( $false
| spl8_3
| ~ spl8_11 ),
inference(unit_resulting_resolution,[],[f230,f249,f353,f161]) ).
fof(f353,plain,
( member(sK4,universal_class)
| spl8_3
| ~ spl8_11 ),
inference(backward_demodulation,[],[f330,f348]) ).
fof(f348,plain,
( sK0(unordered_pair(sK5,sK4),null_class) = sK4
| ~ spl8_11 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f347,plain,
( spl8_11
<=> sK0(unordered_pair(sK5,sK4),null_class) = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_11])]) ).
fof(f330,plain,
( member(sK0(unordered_pair(sK5,sK4),null_class),universal_class)
| spl8_3 ),
inference(resolution,[],[f324,f213]) ).
fof(f213,plain,
! [X2,X0,X1] :
( ~ member(X2,unordered_pair(X0,X1))
| member(X2,universal_class) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0,X1,X2] :
( ( ( member(X2,universal_class)
& ( X1 = X2
| X0 = X2 ) )
| ~ member(X2,unordered_pair(X0,X1)) )
& ( member(X2,unordered_pair(X0,X1))
| ~ member(X2,universal_class)
| ( X1 != X2
& X0 != X2 ) ) ),
inference(rectify,[],[f131]) ).
fof(f131,plain,
! [X2,X0,X1] :
( ( ( member(X1,universal_class)
& ( X0 = X1
| X1 = X2 ) )
| ~ member(X1,unordered_pair(X2,X0)) )
& ( member(X1,unordered_pair(X2,X0))
| ~ member(X1,universal_class)
| ( X0 != X1
& X1 != X2 ) ) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
! [X2,X0,X1] :
( ( ( member(X1,universal_class)
& ( X0 = X1
| X1 = X2 ) )
| ~ member(X1,unordered_pair(X2,X0)) )
& ( member(X1,unordered_pair(X2,X0))
| ~ member(X1,universal_class)
| ( X0 != X1
& X1 != X2 ) ) ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X2,X0,X1] :
( ( member(X1,universal_class)
& ( X0 = X1
| X1 = X2 ) )
<=> member(X1,unordered_pair(X2,X0)) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X2,X0] :
( member(X2,unordered_pair(X0,X1))
<=> ( ( X1 = X2
| X0 = X2 )
& member(X2,universal_class) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_defn) ).
fof(f324,plain,
( member(sK0(unordered_pair(sK5,sK4),null_class),unordered_pair(sK5,sK4))
| spl8_3 ),
inference(resolution,[],[f297,f160]) ).
fof(f249,plain,
! [X1] : subclass(X1,X1),
inference(equality_resolution,[],[f202]) ).
fof(f202,plain,
! [X0,X1] :
( subclass(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1] :
( ( ( subclass(X0,X1)
& subclass(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ subclass(X0,X1)
| ~ subclass(X1,X0) ) ),
inference(flattening,[],[f123]) ).
fof(f123,plain,
! [X0,X1] :
( ( ( subclass(X0,X1)
& subclass(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ subclass(X0,X1)
| ~ subclass(X1,X0) ) ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( ( subclass(X0,X1)
& subclass(X1,X0) )
<=> X0 = X1 ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( X0 = X1
<=> ( subclass(X0,X1)
& subclass(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality) ).
fof(f230,plain,
~ member(sK4,universal_class),
inference(cnf_transformation,[],[f146]) ).
fof(f352,plain,
( spl8_11
| spl8_12
| spl8_3 ),
inference(avatar_split_clause,[],[f344,f296,f350,f347]) ).
fof(f344,plain,
( sK0(unordered_pair(sK5,sK4),null_class) = sK5
| sK0(unordered_pair(sK5,sK4),null_class) = sK4
| spl8_3 ),
inference(resolution,[],[f212,f324]) ).
fof(f212,plain,
! [X2,X0,X1] :
( ~ member(X2,unordered_pair(X0,X1))
| X1 = X2
| X0 = X2 ),
inference(cnf_transformation,[],[f132]) ).
fof(f302,plain,
( ~ spl8_4
| ~ spl8_3 ),
inference(avatar_split_clause,[],[f278,f296,f299]) ).
fof(f278,plain,
( ~ subclass(unordered_pair(sK5,sK4),null_class)
| ~ subclass(null_class,unordered_pair(sK5,sK4)) ),
inference(extensionality_resolution,[],[f200,f229]) ).
fof(f229,plain,
null_class != unordered_pair(sK5,sK4),
inference(cnf_transformation,[],[f146]) ).
fof(f200,plain,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET071+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n018.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 13:12:10 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.54 % (13082)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.55 % (13102)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.55 % (13089)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.55 % (13086)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (13081)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.55 % (13081)Refutation not found, incomplete strategy% (13081)------------------------------
% 0.20/0.55 % (13081)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (13081)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (13081)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55
% 0.20/0.55 % (13081)Memory used [KB]: 6012
% 0.20/0.55 % (13081)Time elapsed: 0.115 s
% 0.20/0.55 % (13081)Instructions burned: 2 (million)
% 0.20/0.55 % (13081)------------------------------
% 0.20/0.55 % (13081)------------------------------
% 0.20/0.55 % (13086)Instruction limit reached!
% 0.20/0.55 % (13086)------------------------------
% 0.20/0.55 % (13086)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (13098)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.56 % (13089)Instruction limit reached!
% 0.20/0.56 % (13089)------------------------------
% 0.20/0.56 % (13089)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (13089)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (13089)Termination reason: Unknown
% 0.20/0.56 % (13089)Termination phase: Preprocessing 3
% 0.20/0.56
% 0.20/0.56 % (13089)Memory used [KB]: 1535
% 0.20/0.56 % (13089)Time elapsed: 0.005 s
% 0.20/0.56 % (13089)Instructions burned: 3 (million)
% 0.20/0.56 % (13089)------------------------------
% 0.20/0.56 % (13089)------------------------------
% 0.20/0.56 % (13097)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.56 % (13094)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.56 % (13090)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.57 % (13098)Refutation not found, incomplete strategy% (13098)------------------------------
% 0.20/0.57 % (13098)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (13098)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (13098)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.57
% 0.20/0.57 % (13098)Memory used [KB]: 1663
% 0.20/0.57 % (13098)Time elapsed: 0.134 s
% 0.20/0.57 % (13098)Instructions burned: 6 (million)
% 0.20/0.57 % (13098)------------------------------
% 0.20/0.57 % (13098)------------------------------
% 0.20/0.57 % (13102)First to succeed.
% 0.20/0.57 % (13086)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (13086)Termination reason: Unknown
% 0.20/0.57 % (13086)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (13086)Memory used [KB]: 6140
% 0.20/0.57 % (13086)Time elapsed: 0.117 s
% 0.20/0.57 % (13086)Instructions burned: 7 (million)
% 0.20/0.57 % (13086)------------------------------
% 0.20/0.57 % (13086)------------------------------
% 0.20/0.58 % (13090)Instruction limit reached!
% 0.20/0.58 % (13090)------------------------------
% 0.20/0.58 % (13090)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (13090)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (13090)Termination reason: Unknown
% 0.20/0.58 % (13090)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (13090)Memory used [KB]: 6012
% 0.20/0.58 % (13090)Time elapsed: 0.008 s
% 0.20/0.58 % (13090)Instructions burned: 7 (million)
% 0.20/0.58 % (13090)------------------------------
% 0.20/0.58 % (13090)------------------------------
% 0.20/0.58 % (13094)Instruction limit reached!
% 0.20/0.58 % (13094)------------------------------
% 0.20/0.58 % (13094)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (13094)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (13094)Termination reason: Unknown
% 0.20/0.58 % (13094)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (13094)Memory used [KB]: 6268
% 0.20/0.58 % (13094)Time elapsed: 0.132 s
% 0.20/0.58 % (13094)Instructions burned: 12 (million)
% 0.20/0.58 % (13094)------------------------------
% 0.20/0.58 % (13094)------------------------------
% 0.20/0.58 % (13102)Refutation found. Thanks to Tanya!
% 0.20/0.58 % SZS status Theorem for theBenchmark
% 0.20/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.58 % (13102)------------------------------
% 0.20/0.58 % (13102)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (13102)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (13102)Termination reason: Refutation
% 0.20/0.58
% 0.20/0.58 % (13102)Memory used [KB]: 6140
% 0.20/0.58 % (13102)Time elapsed: 0.145 s
% 0.20/0.58 % (13102)Instructions burned: 10 (million)
% 0.20/0.58 % (13102)------------------------------
% 0.20/0.58 % (13102)------------------------------
% 0.20/0.58 % (13074)Success in time 0.216 s
%------------------------------------------------------------------------------