TSTP Solution File: SET595+4 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET595+4 : TPTP v8.1.0. Released v2.2.0.
% 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 : n013.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 18:21:32 EDT 2022
% Result : Theorem 0.21s 0.57s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 60 ( 5 unt; 0 def)
% Number of atoms : 167 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 172 ( 65 ~; 63 |; 26 &)
% ( 10 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 96 ( 89 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f203,plain,
$false,
inference(avatar_sat_refutation,[],[f59,f113,f202]) ).
fof(f202,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f201]) ).
fof(f201,plain,
( $false
| spl3_2 ),
inference(subsumption_resolution,[],[f189,f177]) ).
fof(f177,plain,
( ~ member(sK2(union(difference(sK1,sK0),sK0),sK1),difference(sK1,sK0))
| spl3_2 ),
inference(resolution,[],[f119,f43]) ).
fof(f43,plain,
! [X2,X0,X1] :
( member(X0,union(X2,X1))
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ( member(X0,union(X2,X1))
| ( ~ member(X0,X2)
& ~ member(X0,X1) ) )
& ( member(X0,X2)
| member(X0,X1)
| ~ member(X0,union(X2,X1)) ) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X1,X2,X0] :
( ( member(X1,union(X0,X2))
| ( ~ member(X1,X0)
& ~ member(X1,X2) ) )
& ( member(X1,X0)
| member(X1,X2)
| ~ member(X1,union(X0,X2)) ) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X1,X2,X0] :
( ( member(X1,union(X0,X2))
| ( ~ member(X1,X0)
& ~ member(X1,X2) ) )
& ( member(X1,X0)
| member(X1,X2)
| ~ member(X1,union(X0,X2)) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X1,X2,X0] :
( member(X1,union(X0,X2))
<=> ( member(X1,X0)
| member(X1,X2) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0,X2,X1] :
( ( member(X2,X0)
| member(X2,X1) )
<=> member(X2,union(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
fof(f119,plain,
( ~ member(sK2(union(difference(sK1,sK0),sK0),sK1),union(difference(sK1,sK0),sK0))
| spl3_2 ),
inference(unit_resulting_resolution,[],[f58,f40]) ).
fof(f40,plain,
! [X0,X1] :
( subset(X1,X0)
| ~ member(sK2(X0,X1),X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ( ~ member(sK2(X0,X1),X0)
& member(sK2(X0,X1),X1) ) )
& ( ! [X3] :
( member(X3,X0)
| ~ member(X3,X1) )
| ~ subset(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f27,f28]) ).
fof(f28,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) )
=> ( ~ member(sK2(X0,X1),X0)
& member(sK2(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) ) )
& ( ! [X3] :
( member(X3,X0)
| ~ member(X3,X1) )
| ~ subset(X1,X0) ) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) ) )
& ( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( subset(X1,X0)
<=> ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( ! [X2] :
( member(X2,X1)
=> member(X2,X0) )
<=> subset(X1,X0) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).
fof(f58,plain,
( ~ subset(sK1,union(difference(sK1,sK0),sK0))
| spl3_2 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f56,plain,
( spl3_2
<=> subset(sK1,union(difference(sK1,sK0),sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f189,plain,
( member(sK2(union(difference(sK1,sK0),sK0),sK1),difference(sK1,sK0))
| spl3_2 ),
inference(unit_resulting_resolution,[],[f118,f163,f44]) ).
fof(f44,plain,
! [X2,X0,X1] :
( member(X1,difference(X0,X2))
| ~ member(X1,X0)
| member(X1,X2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ( ( ~ member(X1,X2)
& member(X1,X0) )
| ~ member(X1,difference(X0,X2)) )
& ( member(X1,difference(X0,X2))
| member(X1,X2)
| ~ member(X1,X0) ) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ( ( ~ member(X1,X2)
& member(X1,X0) )
| ~ member(X1,difference(X0,X2)) )
& ( member(X1,difference(X0,X2))
| member(X1,X2)
| ~ member(X1,X0) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1,X2] :
( ( ~ member(X1,X2)
& member(X1,X0) )
<=> member(X1,difference(X0,X2)) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X3,X1,X0] :
( member(X1,difference(X3,X0))
<=> ( member(X1,X3)
& ~ member(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference) ).
fof(f163,plain,
( ~ member(sK2(union(difference(sK1,sK0),sK0),sK1),sK0)
| spl3_2 ),
inference(unit_resulting_resolution,[],[f119,f42]) ).
fof(f42,plain,
! [X2,X0,X1] :
( member(X0,union(X2,X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f118,plain,
( member(sK2(union(difference(sK1,sK0),sK0),sK1),sK1)
| spl3_2 ),
inference(unit_resulting_resolution,[],[f58,f39]) ).
fof(f39,plain,
! [X0,X1] :
( subset(X1,X0)
| member(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f113,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f112]) ).
fof(f112,plain,
( $false
| spl3_1 ),
inference(subsumption_resolution,[],[f98,f80]) ).
fof(f80,plain,
( ! [X0] : ~ member(sK2(sK1,union(difference(sK1,sK0),sK0)),difference(sK1,X0))
| spl3_1 ),
inference(unit_resulting_resolution,[],[f67,f45]) ).
fof(f45,plain,
! [X2,X0,X1] :
( member(X1,X0)
| ~ member(X1,difference(X0,X2)) ),
inference(cnf_transformation,[],[f34]) ).
fof(f67,plain,
( ~ member(sK2(sK1,union(difference(sK1,sK0),sK0)),sK1)
| spl3_1 ),
inference(unit_resulting_resolution,[],[f54,f40]) ).
fof(f54,plain,
( ~ subset(union(difference(sK1,sK0),sK0),sK1)
| spl3_1 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f52,plain,
( spl3_1
<=> subset(union(difference(sK1,sK0),sK0),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f98,plain,
( member(sK2(sK1,union(difference(sK1,sK0),sK0)),difference(sK1,sK0))
| spl3_1 ),
inference(unit_resulting_resolution,[],[f77,f68,f41]) ).
fof(f41,plain,
! [X2,X0,X1] :
( member(X0,X1)
| ~ member(X0,union(X2,X1))
| member(X0,X2) ),
inference(cnf_transformation,[],[f32]) ).
fof(f68,plain,
( member(sK2(sK1,union(difference(sK1,sK0),sK0)),union(difference(sK1,sK0),sK0))
| spl3_1 ),
inference(resolution,[],[f54,f39]) ).
fof(f77,plain,
( ~ member(sK2(sK1,union(difference(sK1,sK0),sK0)),sK0)
| spl3_1 ),
inference(unit_resulting_resolution,[],[f67,f49]) ).
fof(f49,plain,
! [X0] :
( member(X0,sK1)
| ~ member(X0,sK0) ),
inference(resolution,[],[f36,f38]) ).
fof(f38,plain,
! [X3,X0,X1] :
( ~ member(X3,X1)
| member(X3,X0)
| ~ subset(X1,X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f36,plain,
subset(sK0,sK1),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
( ~ equal_set(union(difference(sK1,sK0),sK0),sK1)
& subset(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f21,f24]) ).
fof(f24,plain,
( ? [X0,X1] :
( ~ equal_set(union(difference(X1,X0),X0),X1)
& subset(X0,X1) )
=> ( ~ equal_set(union(difference(sK1,sK0),sK0),sK1)
& subset(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
? [X0,X1] :
( ~ equal_set(union(difference(X1,X0),X0),X1)
& subset(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X1,X0] :
( subset(X0,X1)
=> equal_set(union(difference(X1,X0),X0),X1) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X0,X3] :
( subset(X0,X3)
=> equal_set(union(difference(X3,X0),X0),X3) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X0,X3] :
( subset(X0,X3)
=> equal_set(union(difference(X3,X0),X0),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI27) ).
fof(f59,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f50,f56,f52]) ).
fof(f50,plain,
( ~ subset(sK1,union(difference(sK1,sK0),sK0))
| ~ subset(union(difference(sK1,sK0),sK0),sK1) ),
inference(resolution,[],[f37,f35]) ).
fof(f35,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| equal_set(X1,X0)
| ~ subset(X1,X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( equal_set(X1,X0)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X1,X0] :
( equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(flattening,[],[f19]) ).
fof(f19,plain,
! [X1,X0] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X1,X0] :
( ( subset(X1,X0)
& subset(X0,X1) )
=> equal_set(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( ( subset(X1,X0)
& subset(X0,X1) )
<=> equal_set(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_set) ).
fof(f37,plain,
~ equal_set(union(difference(sK1,sK0),sK0),sK1),
inference(cnf_transformation,[],[f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET595+4 : TPTP v8.1.0. Released v2.2.0.
% 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
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 13:57:47 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.55 % (20429)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)
% 0.21/0.55 % (20410)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.56 % (20421)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)
% 0.21/0.56 % (20429)Refutation not found, incomplete strategy% (20429)------------------------------
% 0.21/0.56 % (20429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (20429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (20429)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.56
% 0.21/0.56 % (20429)Memory used [KB]: 1407
% 0.21/0.56 % (20429)Time elapsed: 0.071 s
% 0.21/0.56 % (20429)Instructions burned: 2 (million)
% 0.21/0.56 % (20429)------------------------------
% 0.21/0.56 % (20429)------------------------------
% 0.21/0.57 % (20413)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)
% 0.21/0.57 % (20421)Instruction limit reached!
% 0.21/0.57 % (20421)------------------------------
% 0.21/0.57 % (20421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (20421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (20421)Termination reason: Unknown
% 0.21/0.57 % (20421)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (20421)Memory used [KB]: 6012
% 0.21/0.57 % (20421)Time elapsed: 0.084 s
% 0.21/0.57 % (20421)Instructions burned: 7 (million)
% 0.21/0.57 % (20421)------------------------------
% 0.21/0.57 % (20421)------------------------------
% 0.21/0.57 % (20413)First to succeed.
% 0.21/0.57 % (20413)Refutation found. Thanks to Tanya!
% 0.21/0.57 % SZS status Theorem for theBenchmark
% 0.21/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.58 % (20413)------------------------------
% 0.21/0.58 % (20413)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (20413)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (20413)Termination reason: Refutation
% 0.21/0.58
% 0.21/0.58 % (20413)Memory used [KB]: 6012
% 0.21/0.58 % (20413)Time elapsed: 0.083 s
% 0.21/0.58 % (20413)Instructions burned: 5 (million)
% 0.21/0.58 % (20413)------------------------------
% 0.21/0.58 % (20413)------------------------------
% 0.21/0.58 % (20405)Success in time 0.218 s
%------------------------------------------------------------------------------