TSTP Solution File: MGT012+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : MGT012+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : n029.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 17:51:21 EDT 2022
% Result : Theorem 0.21s 0.56s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 21
% Syntax : Number of formulae : 117 ( 14 unt; 0 def)
% Number of atoms : 438 ( 13 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 569 ( 248 ~; 208 |; 87 &)
% ( 11 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 6 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 312 ( 285 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f473,plain,
$false,
inference(avatar_sat_refutation,[],[f241,f268,f280,f446,f469,f472]) ).
fof(f472,plain,
~ spl13_5,
inference(avatar_contradiction_clause,[],[f471]) ).
fof(f471,plain,
( $false
| ~ spl13_5 ),
inference(subsumption_resolution,[],[f470,f44]) ).
fof(f44,plain,
organization(sK1,sK2),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( reorganization_free(sK1,sK0,sK2)
& greater(sK4,sK3)
& complexity(sK1,sK3,sK2)
& organization(sK1,sK0)
& organization(sK1,sK2)
& greater(sK2,sK0)
& complexity(sK1,sK4,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f31,f32]) ).
fof(f32,plain,
( ? [X0,X1,X2,X3,X4] :
( reorganization_free(X1,X0,X2)
& greater(X4,X3)
& complexity(X1,X3,X2)
& organization(X1,X0)
& organization(X1,X2)
& greater(X2,X0)
& complexity(X1,X4,X0) )
=> ( reorganization_free(sK1,sK0,sK2)
& greater(sK4,sK3)
& complexity(sK1,sK3,sK2)
& organization(sK1,sK0)
& organization(sK1,sK2)
& greater(sK2,sK0)
& complexity(sK1,sK4,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
? [X0,X1,X2,X3,X4] :
( reorganization_free(X1,X0,X2)
& greater(X4,X3)
& complexity(X1,X3,X2)
& organization(X1,X0)
& organization(X1,X2)
& greater(X2,X0)
& complexity(X1,X4,X0) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
? [X1,X2,X0,X4,X3] :
( reorganization_free(X2,X1,X0)
& greater(X3,X4)
& complexity(X2,X4,X0)
& organization(X2,X1)
& organization(X2,X0)
& greater(X0,X1)
& complexity(X2,X3,X1) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
? [X2,X4,X0,X3,X1] :
( greater(X3,X4)
& complexity(X2,X4,X0)
& organization(X2,X1)
& complexity(X2,X3,X1)
& reorganization_free(X2,X1,X0)
& greater(X0,X1)
& organization(X2,X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
~ ! [X2,X4,X0,X3,X1] :
( ( complexity(X2,X4,X0)
& organization(X2,X1)
& complexity(X2,X3,X1)
& reorganization_free(X2,X1,X0)
& greater(X0,X1)
& organization(X2,X0) )
=> ~ greater(X3,X4) ),
inference(rectify,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X6,X5,X0,X7,X8] :
( ( complexity(X0,X7,X5)
& complexity(X0,X8,X6)
& reorganization_free(X0,X5,X6)
& organization(X0,X6)
& organization(X0,X5)
& greater(X6,X5) )
=> ~ greater(X7,X8) ),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X6,X5,X0,X7,X8] :
( ( complexity(X0,X7,X5)
& complexity(X0,X8,X6)
& reorganization_free(X0,X5,X6)
& organization(X0,X6)
& organization(X0,X5)
& greater(X6,X5) )
=> ~ greater(X7,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_FOL) ).
fof(f470,plain,
( ~ organization(sK1,sK2)
| ~ spl13_5 ),
inference(resolution,[],[f248,f49]) ).
fof(f49,plain,
! [X0,X1] :
( inertia(X0,sK5(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( ~ organization(X0,X1)
| inertia(X0,sK5(X0,X1),X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f27,f34]) ).
fof(f34,plain,
! [X0,X1] :
( ? [X2] : inertia(X0,X2,X1)
=> inertia(X0,sK5(X0,X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
! [X0,X1] :
( ~ organization(X0,X1)
| ? [X2] : inertia(X0,X2,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( organization(X0,X1)
=> ? [X2] : inertia(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp5) ).
fof(f248,plain,
( ! [X0] : ~ inertia(sK1,X0,sK2)
| ~ spl13_5 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f247,plain,
( spl13_5
<=> ! [X0] : ~ inertia(sK1,X0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).
fof(f469,plain,
~ spl13_17,
inference(avatar_contradiction_clause,[],[f468]) ).
fof(f468,plain,
( $false
| ~ spl13_17 ),
inference(subsumption_resolution,[],[f467,f45]) ).
fof(f45,plain,
organization(sK1,sK0),
inference(cnf_transformation,[],[f33]) ).
fof(f467,plain,
( ~ organization(sK1,sK0)
| ~ spl13_17 ),
inference(resolution,[],[f445,f49]) ).
fof(f445,plain,
( ! [X8] : ~ inertia(sK1,X8,sK0)
| ~ spl13_17 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f444,plain,
( spl13_17
<=> ! [X8] : ~ inertia(sK1,X8,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_17])]) ).
fof(f446,plain,
( spl13_5
| spl13_17
| ~ spl13_3 ),
inference(avatar_split_clause,[],[f442,f239,f444,f247]) ).
fof(f239,plain,
( spl13_3
<=> ! [X6] :
( ~ sP7(sK2,sK1,X6)
| ~ inertia(sK1,X6,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
fof(f442,plain,
( ! [X8,X7] :
( ~ inertia(sK1,X8,sK0)
| ~ inertia(sK1,X7,sK2) )
| ~ spl13_3 ),
inference(subsumption_resolution,[],[f424,f291]) ).
fof(f291,plain,
( ! [X0,X1] :
( greater(X0,X1)
| ~ inertia(sK1,X0,sK0)
| ~ inertia(sK1,X1,sK2) )
| ~ spl13_3 ),
inference(resolution,[],[f240,f55]) ).
fof(f55,plain,
! [X2,X3,X0,X7] :
( ~ inertia(X0,X3,X2)
| greater(X7,X3)
| sP7(X2,X0,X7) ),
inference(cnf_transformation,[],[f55_D]) ).
fof(f55_D,plain,
! [X7,X0,X2] :
( ! [X3] :
( ~ inertia(X0,X3,X2)
| greater(X7,X3) )
<=> ~ sP7(X2,X0,X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP7])]) ).
fof(f240,plain,
( ! [X6] :
( ~ sP7(sK2,sK1,X6)
| ~ inertia(sK1,X6,sK0) )
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f424,plain,
! [X8,X7] :
( ~ greater(X8,X7)
| ~ inertia(sK1,X7,sK2)
| ~ inertia(sK1,X8,sK0) ),
inference(resolution,[],[f420,f84]) ).
fof(f84,plain,
! [X10,X11,X9,X12] :
( sP11(X9,X10,X11)
| ~ inertia(X10,X12,X9)
| ~ greater(X12,X11) ),
inference(resolution,[],[f63,f41]) ).
fof(f41,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
! [X1,X0] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
~ ( greater(X1,X0)
& greater(X0,X1) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X3,X0] :
~ ( greater(X3,X0)
& greater(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp6_2) ).
fof(f63,plain,
! [X2,X3,X0,X4] :
( sP11(X4,X0,X3)
| greater(X3,X2)
| ~ inertia(X0,X2,X4) ),
inference(cnf_transformation,[],[f63_D]) ).
fof(f63_D,plain,
! [X3,X0,X4] :
( ! [X2] :
( greater(X3,X2)
| ~ inertia(X0,X2,X4) )
<=> ~ sP11(X4,X0,X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP11])]) ).
fof(f420,plain,
! [X0] :
( ~ sP11(sK0,sK1,X0)
| ~ inertia(sK1,X0,sK2) ),
inference(subsumption_resolution,[],[f419,f45]) ).
fof(f419,plain,
! [X0] :
( ~ sP11(sK0,sK1,X0)
| ~ organization(sK1,sK0)
| ~ inertia(sK1,X0,sK2) ),
inference(subsumption_resolution,[],[f418,f43]) ).
fof(f43,plain,
greater(sK2,sK0),
inference(cnf_transformation,[],[f33]) ).
fof(f418,plain,
! [X0] :
( ~ greater(sK2,sK0)
| ~ sP11(sK0,sK1,X0)
| ~ organization(sK1,sK0)
| ~ inertia(sK1,X0,sK2) ),
inference(subsumption_resolution,[],[f412,f44]) ).
fof(f412,plain,
! [X0] :
( ~ organization(sK1,sK2)
| ~ greater(sK2,sK0)
| ~ sP11(sK0,sK1,X0)
| ~ organization(sK1,sK0)
| ~ inertia(sK1,X0,sK2) ),
inference(resolution,[],[f64,f48]) ).
fof(f48,plain,
reorganization_free(sK1,sK0,sK2),
inference(cnf_transformation,[],[f33]) ).
fof(f64,plain,
! [X3,X0,X1,X4] :
( ~ sP11(X4,X0,X3)
| ~ inertia(X0,X3,X1)
| ~ reorganization_free(X0,X4,X1)
| ~ greater(X1,X4)
| ~ organization(X0,X1)
| ~ organization(X0,X4) ),
inference(general_splitting,[],[f50,f63_D]) ).
fof(f50,plain,
! [X2,X3,X0,X1,X4] :
( ~ greater(X1,X4)
| ~ inertia(X0,X3,X1)
| ~ inertia(X0,X2,X4)
| greater(X3,X2)
| ~ reorganization_free(X0,X4,X1)
| ~ organization(X0,X1)
| ~ organization(X0,X4) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2,X3,X4] :
( ~ greater(X1,X4)
| ~ inertia(X0,X3,X1)
| ~ inertia(X0,X2,X4)
| greater(X3,X2)
| ~ reorganization_free(X0,X4,X1)
| ~ organization(X0,X1)
| ~ organization(X0,X4) ),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X1,X2,X4,X3,X0] :
( ~ greater(X2,X0)
| ~ inertia(X1,X3,X2)
| ~ inertia(X1,X4,X0)
| greater(X3,X4)
| ~ reorganization_free(X1,X0,X2)
| ~ organization(X1,X2)
| ~ organization(X1,X0) ),
inference(flattening,[],[f19]) ).
fof(f19,plain,
! [X2,X4,X1,X3,X0] :
( greater(X3,X4)
| ~ reorganization_free(X1,X0,X2)
| ~ greater(X2,X0)
| ~ organization(X1,X0)
| ~ inertia(X1,X3,X2)
| ~ inertia(X1,X4,X0)
| ~ organization(X1,X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
! [X2,X4,X1,X3,X0] :
( ( reorganization_free(X1,X0,X2)
& greater(X2,X0)
& organization(X1,X0)
& inertia(X1,X3,X2)
& inertia(X1,X4,X0)
& organization(X1,X2) )
=> greater(X3,X4) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X5,X0,X6,X10,X9] :
( ( organization(X0,X6)
& reorganization_free(X0,X5,X6)
& greater(X6,X5)
& organization(X0,X5)
& inertia(X0,X10,X6)
& inertia(X0,X9,X5) )
=> greater(X10,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_FOL) ).
fof(f280,plain,
spl13_2,
inference(avatar_contradiction_clause,[],[f279]) ).
fof(f279,plain,
( $false
| spl13_2 ),
inference(subsumption_resolution,[],[f278,f45]) ).
fof(f278,plain,
( ~ organization(sK1,sK0)
| spl13_2 ),
inference(resolution,[],[f237,f53]) ).
fof(f53,plain,
! [X0,X1] :
( class(X0,sK6(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ~ organization(X0,X1)
| class(X0,sK6(X0,X1),X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f24,f38]) ).
fof(f38,plain,
! [X0,X1] :
( ? [X2] : class(X0,X2,X1)
=> class(X0,sK6(X0,X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0,X1] :
( ~ organization(X0,X1)
| ? [X2] : class(X0,X2,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( organization(X0,X1)
=> ? [X2] : class(X0,X2,X1) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( organization(X0,X1)
=> ? [X4] : class(X0,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp9) ).
fof(f237,plain,
( ~ class(sK1,sK6(sK1,sK0),sK0)
| spl13_2 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f235,plain,
( spl13_2
<=> class(sK1,sK6(sK1,sK0),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f268,plain,
spl13_1,
inference(avatar_contradiction_clause,[],[f267]) ).
fof(f267,plain,
( $false
| spl13_1 ),
inference(subsumption_resolution,[],[f258,f47]) ).
fof(f47,plain,
greater(sK4,sK3),
inference(cnf_transformation,[],[f33]) ).
fof(f258,plain,
( ~ greater(sK4,sK3)
| spl13_1 ),
inference(resolution,[],[f233,f78]) ).
fof(f78,plain,
! [X1] :
( sP8(sK2,X1,sK1)
| ~ greater(X1,sK3) ),
inference(resolution,[],[f57,f46]) ).
fof(f46,plain,
complexity(sK1,sK3,sK2),
inference(cnf_transformation,[],[f33]) ).
fof(f57,plain,
! [X2,X0,X1,X4] :
( ~ complexity(X0,X1,X2)
| sP8(X2,X4,X0)
| ~ greater(X4,X1) ),
inference(cnf_transformation,[],[f57_D]) ).
fof(f57_D,plain,
! [X0,X4,X2] :
( ! [X1] :
( ~ complexity(X0,X1,X2)
| ~ greater(X4,X1) )
<=> ~ sP8(X2,X4,X0) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP8])]) ).
fof(f233,plain,
( ~ sP8(sK2,sK4,sK1)
| spl13_1 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f231,plain,
( spl13_1
<=> sP8(sK2,sK4,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f241,plain,
( ~ spl13_1
| ~ spl13_2
| spl13_3 ),
inference(avatar_split_clause,[],[f228,f239,f235,f231]) ).
fof(f228,plain,
! [X6] :
( ~ sP7(sK2,sK1,X6)
| ~ inertia(sK1,X6,sK0)
| ~ class(sK1,sK6(sK1,sK0),sK0)
| ~ sP8(sK2,sK4,sK1) ),
inference(resolution,[],[f225,f168]) ).
fof(f168,plain,
! [X0,X1] :
( ~ sP10(sK4,X1,X0)
| ~ class(sK1,X0,sK0)
| ~ inertia(sK1,X1,sK0) ),
inference(subsumption_resolution,[],[f164,f45]) ).
fof(f164,plain,
! [X0,X1] :
( ~ class(sK1,X0,sK0)
| ~ sP10(sK4,X1,X0)
| ~ inertia(sK1,X1,sK0)
| ~ organization(sK1,sK0) ),
inference(resolution,[],[f62,f42]) ).
fof(f42,plain,
complexity(sK1,sK4,sK0),
inference(cnf_transformation,[],[f33]) ).
fof(f62,plain,
! [X8,X6,X7,X4,X5] :
( ~ class(X5,X6,X8)
| ~ sP10(X4,X7,X6)
| ~ inertia(X5,X7,X8)
| ~ complexity(X5,X4,X8)
| ~ organization(X5,X8) ),
inference(general_splitting,[],[f60,f61_D]) ).
fof(f61,plain,
! [X0,X6,X7,X4] :
( ~ sP9(X6,X4,X7,X0)
| sP10(X4,X7,X6) ),
inference(cnf_transformation,[],[f61_D]) ).
fof(f61_D,plain,
! [X6,X7,X4] :
( ! [X0] : ~ sP9(X6,X4,X7,X0)
<=> ~ sP10(X4,X7,X6) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP10])]) ).
fof(f60,plain,
! [X0,X8,X6,X7,X4,X5] :
( ~ inertia(X5,X7,X8)
| ~ class(X5,X6,X8)
| ~ organization(X5,X8)
| ~ complexity(X5,X4,X8)
| ~ sP9(X6,X4,X7,X0) ),
inference(general_splitting,[],[f58,f59_D]) ).
fof(f59,plain,
! [X2,X0,X6,X7,X4] :
( sP9(X6,X4,X7,X0)
| ~ sP7(X2,X0,X7)
| ~ sP8(X2,X4,X0)
| ~ class(X0,X6,X2)
| ~ organization(X0,X2) ),
inference(cnf_transformation,[],[f59_D]) ).
fof(f59_D,plain,
! [X0,X7,X4,X6] :
( ! [X2] :
( ~ sP7(X2,X0,X7)
| ~ sP8(X2,X4,X0)
| ~ class(X0,X6,X2)
| ~ organization(X0,X2) )
<=> ~ sP9(X6,X4,X7,X0) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP9])]) ).
fof(f58,plain,
! [X2,X0,X8,X6,X7,X4,X5] :
( ~ inertia(X5,X7,X8)
| ~ organization(X0,X2)
| ~ class(X5,X6,X8)
| ~ organization(X5,X8)
| ~ class(X0,X6,X2)
| ~ complexity(X5,X4,X8)
| ~ sP7(X2,X0,X7)
| ~ sP8(X2,X4,X0) ),
inference(general_splitting,[],[f56,f57_D]) ).
fof(f56,plain,
! [X2,X0,X1,X8,X6,X7,X4,X5] :
( ~ greater(X4,X1)
| ~ inertia(X5,X7,X8)
| ~ organization(X0,X2)
| ~ class(X5,X6,X8)
| ~ complexity(X0,X1,X2)
| ~ organization(X5,X8)
| ~ class(X0,X6,X2)
| ~ complexity(X5,X4,X8)
| ~ sP7(X2,X0,X7) ),
inference(general_splitting,[],[f40,f55_D]) ).
fof(f40,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ inertia(X0,X3,X2)
| ~ greater(X4,X1)
| ~ inertia(X5,X7,X8)
| ~ organization(X0,X2)
| ~ class(X5,X6,X8)
| ~ complexity(X0,X1,X2)
| ~ organization(X5,X8)
| ~ class(X0,X6,X2)
| greater(X7,X3)
| ~ complexity(X5,X4,X8) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ inertia(X0,X3,X2)
| ~ greater(X4,X1)
| ~ inertia(X5,X7,X8)
| ~ organization(X0,X2)
| ~ class(X5,X6,X8)
| ~ complexity(X0,X1,X2)
| ~ organization(X5,X8)
| ~ class(X0,X6,X2)
| greater(X7,X3)
| ~ complexity(X5,X4,X8) ),
inference(rectify,[],[f18]) ).
fof(f18,plain,
! [X3,X5,X0,X2,X6,X4,X8,X1,X7] :
( ~ inertia(X3,X2,X0)
| ~ greater(X6,X5)
| ~ inertia(X4,X1,X7)
| ~ organization(X3,X0)
| ~ class(X4,X8,X7)
| ~ complexity(X3,X5,X0)
| ~ organization(X4,X7)
| ~ class(X3,X8,X0)
| greater(X1,X2)
| ~ complexity(X4,X6,X7) ),
inference(flattening,[],[f17]) ).
fof(f17,plain,
! [X1,X6,X8,X0,X7,X5,X3,X2,X4] :
( greater(X1,X2)
| ~ organization(X3,X0)
| ~ inertia(X4,X1,X7)
| ~ class(X3,X8,X0)
| ~ complexity(X4,X6,X7)
| ~ organization(X4,X7)
| ~ greater(X6,X5)
| ~ inertia(X3,X2,X0)
| ~ class(X4,X8,X7)
| ~ complexity(X3,X5,X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
! [X1,X6,X8,X0,X7,X5,X3,X2,X4] :
( ( organization(X3,X0)
& inertia(X4,X1,X7)
& class(X3,X8,X0)
& complexity(X4,X6,X7)
& organization(X4,X7)
& greater(X6,X5)
& inertia(X3,X2,X0)
& class(X4,X8,X7)
& complexity(X3,X5,X0) )
=> greater(X1,X2) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X5,X10,X9,X0,X3,X7,X8,X6,X4] :
( ( greater(X8,X7)
& inertia(X0,X9,X5)
& class(X0,X4,X5)
& organization(X0,X5)
& inertia(X3,X10,X6)
& class(X3,X4,X6)
& complexity(X3,X8,X6)
& organization(X3,X6)
& complexity(X0,X7,X5) )
=> greater(X10,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a12_FOL) ).
fof(f225,plain,
! [X0,X1] :
( sP10(X1,X0,sK6(sK1,sK0))
| ~ sP7(sK2,sK1,X0)
| ~ sP8(sK2,X1,sK1) ),
inference(resolution,[],[f218,f61]) ).
fof(f218,plain,
! [X4,X5] :
( sP9(sK6(sK1,sK0),X4,X5,sK1)
| ~ sP7(sK2,sK1,X5)
| ~ sP8(sK2,X4,sK1) ),
inference(subsumption_resolution,[],[f209,f44]) ).
fof(f209,plain,
! [X4,X5] :
( ~ organization(sK1,sK2)
| sP9(sK6(sK1,sK0),X4,X5,sK1)
| ~ sP8(sK2,X4,sK1)
| ~ sP7(sK2,sK1,X5) ),
inference(resolution,[],[f59,f156]) ).
fof(f156,plain,
class(sK1,sK6(sK1,sK0),sK2),
inference(subsumption_resolution,[],[f155,f44]) ).
fof(f155,plain,
( ~ organization(sK1,sK2)
| class(sK1,sK6(sK1,sK0),sK2) ),
inference(superposition,[],[f53,f154]) ).
fof(f154,plain,
sK6(sK1,sK0) = sK6(sK1,sK2),
inference(subsumption_resolution,[],[f153,f44]) ).
fof(f153,plain,
( ~ organization(sK1,sK2)
| sK6(sK1,sK0) = sK6(sK1,sK2) ),
inference(resolution,[],[f152,f53]) ).
fof(f152,plain,
! [X0] :
( ~ class(sK1,X0,sK2)
| sK6(sK1,sK0) = X0 ),
inference(subsumption_resolution,[],[f150,f45]) ).
fof(f150,plain,
! [X0] :
( ~ class(sK1,X0,sK2)
| sK6(sK1,sK0) = X0
| ~ organization(sK1,sK0) ),
inference(resolution,[],[f149,f89]) ).
fof(f89,plain,
! [X2,X0,X1] :
( sP12(X0,X1,X2)
| ~ organization(X0,X2)
| sK6(X0,X2) = X1 ),
inference(resolution,[],[f65,f53]) ).
fof(f65,plain,
! [X2,X3,X0,X1] :
( ~ class(X0,X2,X1)
| sP12(X0,X3,X1)
| X2 = X3 ),
inference(cnf_transformation,[],[f65_D]) ).
fof(f65_D,plain,
! [X1,X3,X0] :
( ! [X2] :
( ~ class(X0,X2,X1)
| X2 = X3 )
<=> ~ sP12(X0,X3,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP12])]) ).
fof(f149,plain,
! [X0] :
( ~ sP12(sK1,X0,sK0)
| ~ class(sK1,X0,sK2) ),
inference(subsumption_resolution,[],[f148,f44]) ).
fof(f148,plain,
! [X0] :
( ~ sP12(sK1,X0,sK0)
| ~ class(sK1,X0,sK2)
| ~ organization(sK1,sK2) ),
inference(subsumption_resolution,[],[f142,f45]) ).
fof(f142,plain,
! [X0] :
( ~ sP12(sK1,X0,sK0)
| ~ class(sK1,X0,sK2)
| ~ organization(sK1,sK0)
| ~ organization(sK1,sK2) ),
inference(resolution,[],[f66,f48]) ).
fof(f66,plain,
! [X3,X0,X1,X4] :
( ~ reorganization_free(X0,X1,X4)
| ~ sP12(X0,X3,X1)
| ~ class(X0,X3,X4)
| ~ organization(X0,X4)
| ~ organization(X0,X1) ),
inference(general_splitting,[],[f52,f65_D]) ).
fof(f52,plain,
! [X2,X3,X0,X1,X4] :
( ~ class(X0,X2,X1)
| ~ organization(X0,X1)
| X2 = X3
| ~ organization(X0,X4)
| ~ class(X0,X3,X4)
| ~ reorganization_free(X0,X1,X4) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2,X3,X4] :
( ~ class(X0,X2,X1)
| ~ organization(X0,X1)
| X2 = X3
| ~ organization(X0,X4)
| ~ class(X0,X3,X4)
| ~ reorganization_free(X0,X1,X4) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X3,X4,X2,X0,X1] :
( ~ class(X3,X2,X4)
| ~ organization(X3,X4)
| X0 = X2
| ~ organization(X3,X1)
| ~ class(X3,X0,X1)
| ~ reorganization_free(X3,X4,X1) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X0,X2,X3,X4,X1] :
( X0 = X2
| ~ reorganization_free(X3,X4,X1)
| ~ organization(X3,X1)
| ~ class(X3,X2,X4)
| ~ organization(X3,X4)
| ~ class(X3,X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X2,X3,X4,X1] :
( ( reorganization_free(X3,X4,X1)
& organization(X3,X1)
& class(X3,X2,X4)
& organization(X3,X4)
& class(X3,X0,X1) )
=> X0 = X2 ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X8,X6,X7,X0,X5] :
( ( class(X0,X7,X5)
& organization(X0,X6)
& organization(X0,X5)
& reorganization_free(X0,X5,X6)
& class(X0,X8,X6) )
=> X7 = X8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp10) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MGT012+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n029.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 03:21:41 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.51 % (30999)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)
% 0.21/0.55 % (30999)First to succeed.
% 0.21/0.55 % (31007)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.55 % (31022)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.56 % (30999)Refutation found. Thanks to Tanya!
% 0.21/0.56 % SZS status Theorem for theBenchmark
% 0.21/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.56 % (30999)------------------------------
% 0.21/0.56 % (30999)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (30999)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (30999)Termination reason: Refutation
% 0.21/0.56
% 0.21/0.56 % (30999)Memory used [KB]: 5756
% 0.21/0.56 % (30999)Time elapsed: 0.143 s
% 0.21/0.56 % (30999)Instructions burned: 18 (million)
% 0.21/0.56 % (30999)------------------------------
% 0.21/0.56 % (30999)------------------------------
% 0.21/0.56 % (30993)Success in time 0.203 s
%------------------------------------------------------------------------------