TSTP Solution File: MGT011+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : MGT011+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_uns --cores 0 -t %d %s
% Computer : n028.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 17:50:52 EDT 2022
% Result : Theorem 0.16s 0.51s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 18
% Syntax : Number of formulae : 113 ( 13 unt; 0 def)
% Number of atoms : 451 ( 11 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 599 ( 261 ~; 228 |; 87 &)
% ( 8 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 3 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 324 ( 296 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f213,plain,
$false,
inference(avatar_sat_refutation,[],[f166,f171,f212]) ).
fof(f212,plain,
~ spl13_8,
inference(avatar_contradiction_clause,[],[f211]) ).
fof(f211,plain,
( $false
| ~ spl13_8 ),
inference(subsumption_resolution,[],[f210,f50]) ).
fof(f50,plain,
greater(sK0,sK4),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( greater(sK0,sK4)
& organization(sK3,sK0)
& greater(sK1,sK2)
& size(sK3,sK1,sK4)
& size(sK3,sK2,sK0)
& reorganization_free(sK3,sK4,sK0)
& organization(sK3,sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f31,f32]) ).
fof(f32,plain,
( ? [X0,X1,X2,X3,X4] :
( greater(X0,X4)
& organization(X3,X0)
& greater(X1,X2)
& size(X3,X1,X4)
& size(X3,X2,X0)
& reorganization_free(X3,X4,X0)
& organization(X3,X4) )
=> ( greater(sK0,sK4)
& organization(sK3,sK0)
& greater(sK1,sK2)
& size(sK3,sK1,sK4)
& size(sK3,sK2,sK0)
& reorganization_free(sK3,sK4,sK0)
& organization(sK3,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
? [X0,X1,X2,X3,X4] :
( greater(X0,X4)
& organization(X3,X0)
& greater(X1,X2)
& size(X3,X1,X4)
& size(X3,X2,X0)
& reorganization_free(X3,X4,X0)
& organization(X3,X4) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
? [X1,X3,X4,X0,X2] :
( greater(X1,X2)
& organization(X0,X1)
& greater(X3,X4)
& size(X0,X3,X2)
& size(X0,X4,X1)
& reorganization_free(X0,X2,X1)
& organization(X0,X2) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
? [X4,X0,X2,X3,X1] :
( greater(X3,X4)
& greater(X1,X2)
& size(X0,X3,X2)
& organization(X0,X2)
& size(X0,X4,X1)
& organization(X0,X1)
& reorganization_free(X0,X2,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
~ ! [X4,X0,X2,X3,X1] :
( ( greater(X1,X2)
& size(X0,X3,X2)
& organization(X0,X2)
& size(X0,X4,X1)
& organization(X0,X1)
& reorganization_free(X0,X2,X1) )
=> ~ greater(X3,X4) ),
inference(rectify,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X0,X6,X5,X9,X10] :
( ( organization(X0,X6)
& greater(X6,X5)
& reorganization_free(X0,X5,X6)
& size(X0,X9,X5)
& size(X0,X10,X6)
& organization(X0,X5) )
=> ~ greater(X9,X10) ),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X0,X6,X5,X9,X10] :
( ( organization(X0,X6)
& greater(X6,X5)
& reorganization_free(X0,X5,X6)
& size(X0,X9,X5)
& size(X0,X10,X6)
& organization(X0,X5) )
=> ~ greater(X9,X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_FOL) ).
fof(f210,plain,
( ~ greater(sK0,sK4)
| ~ spl13_8 ),
inference(subsumption_resolution,[],[f209,f45]) ).
fof(f45,plain,
reorganization_free(sK3,sK4,sK0),
inference(cnf_transformation,[],[f33]) ).
fof(f209,plain,
( ~ reorganization_free(sK3,sK4,sK0)
| ~ greater(sK0,sK4)
| ~ spl13_8 ),
inference(subsumption_resolution,[],[f208,f49]) ).
fof(f49,plain,
organization(sK3,sK0),
inference(cnf_transformation,[],[f33]) ).
fof(f208,plain,
( ~ organization(sK3,sK0)
| ~ greater(sK0,sK4)
| ~ reorganization_free(sK3,sK4,sK0)
| ~ spl13_8 ),
inference(duplicate_literal_removal,[],[f207]) ).
fof(f207,plain,
( ~ greater(sK0,sK4)
| ~ organization(sK3,sK0)
| ~ organization(sK3,sK0)
| ~ reorganization_free(sK3,sK4,sK0)
| ~ spl13_8 ),
inference(resolution,[],[f198,f51]) ).
fof(f51,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])],[f25,f34]) ).
fof(f34,plain,
! [X0,X1] :
( ? [X2] : inertia(X0,X2,X1)
=> inertia(X0,sK5(X0,X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f25,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(f198,plain,
( ! [X0] :
( ~ inertia(sK3,sK5(sK3,sK0),X0)
| ~ greater(X0,sK4)
| ~ organization(sK3,X0)
| ~ reorganization_free(sK3,sK4,X0) )
| ~ spl13_8 ),
inference(subsumption_resolution,[],[f197,f44]) ).
fof(f44,plain,
organization(sK3,sK4),
inference(cnf_transformation,[],[f33]) ).
fof(f197,plain,
( ! [X0] :
( ~ organization(sK3,sK4)
| ~ inertia(sK3,sK5(sK3,sK0),X0)
| ~ reorganization_free(sK3,sK4,X0)
| ~ greater(X0,sK4)
| ~ organization(sK3,X0) )
| ~ spl13_8 ),
inference(resolution,[],[f191,f57]) ).
fof(f57,plain,
! [X2,X0,X1,X4] :
( ~ sP7(X4,X2,X1)
| ~ reorganization_free(X2,X1,X0)
| ~ greater(X0,X1)
| ~ inertia(X2,X4,X0)
| ~ organization(X2,X1)
| ~ organization(X2,X0) ),
inference(general_splitting,[],[f41,f56_D]) ).
fof(f56,plain,
! [X2,X3,X1,X4] :
( ~ inertia(X2,X3,X1)
| greater(X4,X3)
| sP7(X4,X2,X1) ),
inference(cnf_transformation,[],[f56_D]) ).
fof(f56_D,plain,
! [X1,X2,X4] :
( ! [X3] :
( ~ inertia(X2,X3,X1)
| greater(X4,X3) )
<=> ~ sP7(X4,X2,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP7])]) ).
fof(f41,plain,
! [X2,X3,X0,X1,X4] :
( ~ greater(X0,X1)
| ~ organization(X2,X0)
| ~ reorganization_free(X2,X1,X0)
| ~ inertia(X2,X3,X1)
| ~ inertia(X2,X4,X0)
| ~ organization(X2,X1)
| greater(X4,X3) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2,X3,X4] :
( ~ greater(X0,X1)
| ~ organization(X2,X0)
| ~ reorganization_free(X2,X1,X0)
| ~ inertia(X2,X3,X1)
| ~ inertia(X2,X4,X0)
| ~ organization(X2,X1)
| greater(X4,X3) ),
inference(rectify,[],[f24]) ).
fof(f24,plain,
! [X2,X3,X0,X4,X1] :
( ~ greater(X2,X3)
| ~ organization(X0,X2)
| ~ reorganization_free(X0,X3,X2)
| ~ inertia(X0,X4,X3)
| ~ inertia(X0,X1,X2)
| ~ organization(X0,X3)
| greater(X1,X4) ),
inference(flattening,[],[f23]) ).
fof(f23,plain,
! [X3,X2,X0,X1,X4] :
( greater(X1,X4)
| ~ inertia(X0,X4,X3)
| ~ organization(X0,X2)
| ~ organization(X0,X3)
| ~ greater(X2,X3)
| ~ inertia(X0,X1,X2)
| ~ reorganization_free(X0,X3,X2) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
! [X3,X2,X0,X1,X4] :
( ( inertia(X0,X4,X3)
& organization(X0,X2)
& organization(X0,X3)
& greater(X2,X3)
& inertia(X0,X1,X2)
& reorganization_free(X0,X3,X2) )
=> greater(X1,X4) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0,X12,X6,X5,X11] :
( ( inertia(X0,X12,X6)
& greater(X6,X5)
& inertia(X0,X11,X5)
& reorganization_free(X0,X5,X6)
& organization(X0,X5)
& organization(X0,X6) )
=> greater(X12,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_FOL) ).
fof(f191,plain,
( sP7(sK5(sK3,sK0),sK3,sK4)
| ~ spl13_8 ),
inference(subsumption_resolution,[],[f190,f49]) ).
fof(f190,plain,
( ~ organization(sK3,sK0)
| sP7(sK5(sK3,sK0),sK3,sK4)
| ~ spl13_8 ),
inference(resolution,[],[f185,f51]) ).
fof(f185,plain,
( ! [X4] :
( ~ inertia(sK3,X4,sK0)
| sP7(X4,sK3,sK4) )
| ~ spl13_8 ),
inference(subsumption_resolution,[],[f182,f44]) ).
fof(f182,plain,
( ! [X4] :
( ~ organization(sK3,sK4)
| ~ inertia(sK3,X4,sK0)
| sP7(X4,sK3,sK4) )
| ~ spl13_8 ),
inference(resolution,[],[f165,f100]) ).
fof(f100,plain,
! [X2,X0,X1] :
( sP10(X1,X0,X2)
| sP7(X0,X1,X2)
| ~ organization(X1,X2) ),
inference(duplicate_literal_removal,[],[f98]) ).
fof(f98,plain,
! [X2,X0,X1] :
( sP7(X0,X1,X2)
| ~ organization(X1,X2)
| sP10(X1,X0,X2)
| ~ organization(X1,X2) ),
inference(resolution,[],[f92,f79]) ).
fof(f79,plain,
! [X2,X0,X1] :
( greater(sK5(X0,X2),X1)
| sP10(X0,X1,X2)
| ~ organization(X0,X2) ),
inference(resolution,[],[f62,f51]) ).
fof(f62,plain,
! [X0,X1,X6,X4] :
( ~ inertia(X4,X0,X1)
| sP10(X4,X6,X1)
| greater(X0,X6) ),
inference(cnf_transformation,[],[f62_D]) ).
fof(f62_D,plain,
! [X1,X6,X4] :
( ! [X0] :
( ~ inertia(X4,X0,X1)
| greater(X0,X6) )
<=> ~ sP10(X4,X6,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP10])]) ).
fof(f92,plain,
! [X2,X0,X1] :
( ~ greater(sK5(X0,X1),X2)
| sP7(X2,X0,X1)
| ~ organization(X0,X1) ),
inference(resolution,[],[f76,f42]) ).
fof(f42,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
inference(rectify,[],[f17]) ).
fof(f17,plain,
! [X1,X0] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
~ ( greater(X0,X1)
& greater(X1,X0) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X0,X3] :
~ ( greater(X3,X0)
& greater(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp6_2) ).
fof(f76,plain,
! [X2,X0,X1] :
( greater(X0,sK5(X1,X2))
| ~ organization(X1,X2)
| sP7(X0,X1,X2) ),
inference(resolution,[],[f56,f51]) ).
fof(f165,plain,
( ! [X3] :
( ~ sP10(sK3,X3,sK4)
| ~ inertia(sK3,X3,sK0) )
| ~ spl13_8 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f164,plain,
( spl13_8
<=> ! [X3] :
( ~ sP10(sK3,X3,sK4)
| ~ inertia(sK3,X3,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_8])]) ).
fof(f171,plain,
~ spl13_7,
inference(avatar_contradiction_clause,[],[f170]) ).
fof(f170,plain,
( $false
| ~ spl13_7 ),
inference(subsumption_resolution,[],[f169,f48]) ).
fof(f48,plain,
greater(sK1,sK2),
inference(cnf_transformation,[],[f33]) ).
fof(f169,plain,
( ~ greater(sK1,sK2)
| ~ spl13_7 ),
inference(resolution,[],[f162,f47]) ).
fof(f47,plain,
size(sK3,sK1,sK4),
inference(cnf_transformation,[],[f33]) ).
fof(f162,plain,
( ! [X2] :
( ~ size(sK3,X2,sK4)
| ~ greater(X2,sK2) )
| ~ spl13_7 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f161,plain,
( spl13_7
<=> ! [X2] :
( ~ size(sK3,X2,sK4)
| ~ greater(X2,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).
fof(f166,plain,
( spl13_7
| spl13_8 ),
inference(avatar_split_clause,[],[f159,f164,f161]) ).
fof(f159,plain,
! [X2,X3] :
( ~ sP10(sK3,X3,sK4)
| ~ size(sK3,X2,sK4)
| ~ greater(X2,sK2)
| ~ inertia(sK3,X3,sK0) ),
inference(subsumption_resolution,[],[f149,f44]) ).
fof(f149,plain,
! [X2,X3] :
( ~ size(sK3,X2,sK4)
| ~ greater(X2,sK2)
| ~ inertia(sK3,X3,sK0)
| ~ sP10(sK3,X3,sK4)
| ~ organization(sK3,sK4) ),
inference(resolution,[],[f114,f86]) ).
fof(f86,plain,
class(sK3,sK6(sK0,sK3),sK4),
inference(subsumption_resolution,[],[f85,f44]) ).
fof(f85,plain,
( ~ organization(sK3,sK4)
| class(sK3,sK6(sK0,sK3),sK4) ),
inference(superposition,[],[f52,f81]) ).
fof(f81,plain,
sK6(sK4,sK3) = sK6(sK0,sK3),
inference(subsumption_resolution,[],[f80,f49]) ).
fof(f80,plain,
( ~ organization(sK3,sK0)
| sK6(sK4,sK3) = sK6(sK0,sK3) ),
inference(resolution,[],[f75,f52]) ).
fof(f75,plain,
! [X0] :
( ~ class(sK3,X0,sK0)
| sK6(sK4,sK3) = X0 ),
inference(subsumption_resolution,[],[f74,f49]) ).
fof(f74,plain,
! [X0] :
( ~ organization(sK3,sK0)
| ~ class(sK3,X0,sK0)
| sK6(sK4,sK3) = X0 ),
inference(resolution,[],[f73,f59]) ).
fof(f59,plain,
! [X2,X0,X1,X4] :
( ~ sP8(X4,X2,X1)
| ~ class(X2,X0,X4)
| X0 = X1
| ~ organization(X2,X4) ),
inference(general_splitting,[],[f53,f58_D]) ).
fof(f58,plain,
! [X2,X3,X1,X4] :
( ~ reorganization_free(X2,X3,X4)
| sP8(X4,X2,X1)
| ~ class(X2,X1,X3)
| ~ organization(X2,X3) ),
inference(cnf_transformation,[],[f58_D]) ).
fof(f58_D,plain,
! [X1,X2,X4] :
( ! [X3] :
( ~ reorganization_free(X2,X3,X4)
| ~ class(X2,X1,X3)
| ~ organization(X2,X3) )
<=> ~ sP8(X4,X2,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP8])]) ).
fof(f53,plain,
! [X2,X3,X0,X1,X4] :
( ~ class(X2,X0,X4)
| X0 = X1
| ~ organization(X2,X3)
| ~ reorganization_free(X2,X3,X4)
| ~ class(X2,X1,X3)
| ~ organization(X2,X4) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2,X3,X4] :
( ~ class(X2,X0,X4)
| X0 = X1
| ~ organization(X2,X3)
| ~ reorganization_free(X2,X3,X4)
| ~ class(X2,X1,X3)
| ~ organization(X2,X4) ),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X2,X3,X4,X0,X1] :
( ~ class(X4,X2,X1)
| X2 = X3
| ~ organization(X4,X0)
| ~ reorganization_free(X4,X0,X1)
| ~ class(X4,X3,X0)
| ~ organization(X4,X1) ),
inference(flattening,[],[f19]) ).
fof(f19,plain,
! [X3,X0,X2,X4,X1] :
( X2 = X3
| ~ organization(X4,X0)
| ~ class(X4,X3,X0)
| ~ organization(X4,X1)
| ~ reorganization_free(X4,X0,X1)
| ~ class(X4,X2,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
! [X3,X0,X2,X4,X1] :
( ( organization(X4,X0)
& class(X4,X3,X0)
& organization(X4,X1)
& reorganization_free(X4,X0,X1)
& class(X4,X2,X1) )
=> X2 = X3 ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X5,X6,X8,X7,X0] :
( ( organization(X0,X6)
& organization(X0,X5)
& reorganization_free(X0,X5,X6)
& class(X0,X7,X5)
& class(X0,X8,X6) )
=> X7 = X8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp10) ).
fof(f73,plain,
sP8(sK0,sK3,sK6(sK4,sK3)),
inference(subsumption_resolution,[],[f72,f44]) ).
fof(f72,plain,
( sP8(sK0,sK3,sK6(sK4,sK3))
| ~ organization(sK3,sK4) ),
inference(resolution,[],[f71,f52]) ).
fof(f71,plain,
! [X0] :
( ~ class(sK3,X0,sK4)
| sP8(sK0,sK3,X0) ),
inference(subsumption_resolution,[],[f70,f44]) ).
fof(f70,plain,
! [X0] :
( ~ organization(sK3,sK4)
| ~ class(sK3,X0,sK4)
| sP8(sK0,sK3,X0) ),
inference(resolution,[],[f45,f58]) ).
fof(f52,plain,
! [X0,X1] :
( class(X1,sK6(X0,X1),X0)
| ~ organization(X1,X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( class(X1,sK6(X0,X1),X0)
| ~ organization(X1,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f36,f37]) ).
fof(f37,plain,
! [X0,X1] :
( ? [X2] : class(X1,X2,X0)
=> class(X1,sK6(X0,X1),X0) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X0,X1] :
( ? [X2] : class(X1,X2,X0)
| ~ organization(X1,X0) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X1,X0] :
( ? [X2] : class(X0,X2,X1)
| ~ organization(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
! [X1,X0] :
( 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(f114,plain,
! [X2,X3,X0,X1] :
( ~ class(X2,sK6(sK0,sK3),X3)
| ~ organization(X2,X3)
| ~ size(X2,X1,X3)
| ~ sP10(X2,X0,X3)
| ~ greater(X1,sK2)
| ~ inertia(sK3,X0,sK0) ),
inference(resolution,[],[f113,f67]) ).
fof(f67,plain,
! [X1,X8,X6,X4,X5] :
( ~ sP12(X6,X8,X5)
| ~ organization(X4,X1)
| ~ size(X4,X5,X1)
| ~ class(X4,X8,X1)
| ~ sP10(X4,X6,X1) ),
inference(general_splitting,[],[f65,f66_D]) ).
fof(f66,plain,
! [X8,X6,X7,X5] :
( ~ sP11(X7,X8,X6,X5)
| sP12(X6,X8,X5) ),
inference(cnf_transformation,[],[f66_D]) ).
fof(f66_D,plain,
! [X5,X8,X6] :
( ! [X7] : ~ sP11(X7,X8,X6,X5)
<=> ~ sP12(X6,X8,X5) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP12])]) ).
fof(f65,plain,
! [X1,X8,X6,X7,X4,X5] :
( ~ class(X4,X8,X1)
| ~ organization(X4,X1)
| ~ size(X4,X5,X1)
| ~ sP10(X4,X6,X1)
| ~ sP11(X7,X8,X6,X5) ),
inference(general_splitting,[],[f63,f64_D]) ).
fof(f64,plain,
! [X2,X8,X6,X7,X5] :
( ~ sP9(X2,X7,X5)
| sP11(X7,X8,X6,X5)
| ~ class(X7,X8,X2)
| ~ inertia(X7,X6,X2)
| ~ organization(X7,X2) ),
inference(cnf_transformation,[],[f64_D]) ).
fof(f64_D,plain,
! [X5,X6,X8,X7] :
( ! [X2] :
( ~ sP9(X2,X7,X5)
| ~ class(X7,X8,X2)
| ~ inertia(X7,X6,X2)
| ~ organization(X7,X2) )
<=> ~ sP11(X7,X8,X6,X5) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP11])]) ).
fof(f63,plain,
! [X2,X1,X8,X6,X7,X4,X5] :
( ~ class(X4,X8,X1)
| ~ organization(X4,X1)
| ~ class(X7,X8,X2)
| ~ organization(X7,X2)
| ~ inertia(X7,X6,X2)
| ~ size(X4,X5,X1)
| ~ sP9(X2,X7,X5)
| ~ sP10(X4,X6,X1) ),
inference(general_splitting,[],[f61,f62_D]) ).
fof(f61,plain,
! [X2,X0,X1,X8,X6,X7,X4,X5] :
( ~ class(X4,X8,X1)
| ~ organization(X4,X1)
| ~ class(X7,X8,X2)
| ~ inertia(X4,X0,X1)
| ~ organization(X7,X2)
| ~ inertia(X7,X6,X2)
| ~ size(X4,X5,X1)
| greater(X0,X6)
| ~ sP9(X2,X7,X5) ),
inference(general_splitting,[],[f54,f60_D]) ).
fof(f60,plain,
! [X2,X3,X7,X5] :
( ~ size(X7,X3,X2)
| ~ greater(X5,X3)
| sP9(X2,X7,X5) ),
inference(cnf_transformation,[],[f60_D]) ).
fof(f60_D,plain,
! [X5,X7,X2] :
( ! [X3] :
( ~ size(X7,X3,X2)
| ~ greater(X5,X3) )
<=> ~ sP9(X2,X7,X5) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP9])]) ).
fof(f54,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ greater(X5,X3)
| ~ class(X4,X8,X1)
| ~ organization(X4,X1)
| ~ class(X7,X8,X2)
| ~ inertia(X4,X0,X1)
| ~ organization(X7,X2)
| ~ size(X7,X3,X2)
| ~ inertia(X7,X6,X2)
| ~ size(X4,X5,X1)
| greater(X0,X6) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ greater(X5,X3)
| ~ class(X4,X8,X1)
| ~ organization(X4,X1)
| ~ class(X7,X8,X2)
| ~ inertia(X4,X0,X1)
| ~ organization(X7,X2)
| ~ size(X7,X3,X2)
| ~ inertia(X7,X6,X2)
| ~ size(X4,X5,X1)
| greater(X0,X6) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X7,X6,X4,X0,X1,X3,X8,X2,X5] :
( ~ greater(X3,X0)
| ~ class(X1,X5,X6)
| ~ organization(X1,X6)
| ~ class(X2,X5,X4)
| ~ inertia(X1,X7,X6)
| ~ organization(X2,X4)
| ~ size(X2,X0,X4)
| ~ inertia(X2,X8,X4)
| ~ size(X1,X3,X6)
| greater(X7,X8) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
! [X3,X7,X5,X4,X2,X1,X0,X6,X8] :
( greater(X7,X8)
| ~ size(X2,X0,X4)
| ~ inertia(X1,X7,X6)
| ~ class(X2,X5,X4)
| ~ organization(X2,X4)
| ~ size(X1,X3,X6)
| ~ inertia(X2,X8,X4)
| ~ greater(X3,X0)
| ~ organization(X1,X6)
| ~ class(X1,X5,X6) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
! [X3,X7,X5,X4,X2,X1,X0,X6,X8] :
( ( size(X2,X0,X4)
& inertia(X1,X7,X6)
& class(X2,X5,X4)
& organization(X2,X4)
& size(X1,X3,X6)
& inertia(X2,X8,X4)
& greater(X3,X0)
& organization(X1,X6)
& class(X1,X5,X6) )
=> greater(X7,X8) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X9,X3,X0,X10,X5,X4,X6,X12,X11] :
( ( organization(X0,X5)
& size(X0,X9,X5)
& class(X0,X4,X5)
& organization(X3,X6)
& greater(X10,X9)
& class(X3,X4,X6)
& inertia(X3,X12,X6)
& size(X3,X10,X6)
& inertia(X0,X11,X5) )
=> greater(X12,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5_FOL) ).
fof(f113,plain,
! [X0,X1] :
( sP12(X0,sK6(sK0,sK3),X1)
| ~ inertia(sK3,X0,sK0)
| ~ greater(X1,sK2) ),
inference(subsumption_resolution,[],[f112,f49]) ).
fof(f112,plain,
! [X0,X1] :
( sP12(X0,sK6(sK0,sK3),X1)
| ~ inertia(sK3,X0,sK0)
| ~ organization(sK3,sK0)
| ~ greater(X1,sK2) ),
inference(resolution,[],[f111,f52]) ).
fof(f111,plain,
! [X2,X0,X1] :
( ~ class(sK3,X2,sK0)
| sP12(X0,X2,X1)
| ~ greater(X1,sK2)
| ~ inertia(sK3,X0,sK0) ),
inference(resolution,[],[f91,f66]) ).
fof(f91,plain,
! [X2,X0,X1] :
( sP11(sK3,X0,X1,X2)
| ~ inertia(sK3,X1,sK0)
| ~ greater(X2,sK2)
| ~ class(sK3,X0,sK0) ),
inference(subsumption_resolution,[],[f88,f49]) ).
fof(f88,plain,
! [X2,X0,X1] :
( sP11(sK3,X0,X1,X2)
| ~ inertia(sK3,X1,sK0)
| ~ class(sK3,X0,sK0)
| ~ greater(X2,sK2)
| ~ organization(sK3,sK0) ),
inference(resolution,[],[f64,f77]) ).
fof(f77,plain,
! [X0] :
( sP9(sK0,sK3,X0)
| ~ greater(X0,sK2) ),
inference(resolution,[],[f60,f46]) ).
fof(f46,plain,
size(sK3,sK2,sK0),
inference(cnf_transformation,[],[f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : MGT011+1 : TPTP v8.1.0. Released v2.0.0.
% 0.09/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.32 % Computer : n028.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Aug 30 03:21:03 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.16/0.47 % (29041)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)
% 0.16/0.48 % (29041)Instruction limit reached!
% 0.16/0.48 % (29041)------------------------------
% 0.16/0.48 % (29041)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.48 % (29041)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.48 % (29041)Termination reason: Unknown
% 0.16/0.48 % (29041)Termination phase: Saturation
% 0.16/0.48
% 0.16/0.48 % (29041)Memory used [KB]: 5884
% 0.16/0.48 % (29041)Time elapsed: 0.092 s
% 0.16/0.48 % (29041)Instructions burned: 3 (million)
% 0.16/0.48 % (29041)------------------------------
% 0.16/0.48 % (29041)------------------------------
% 0.16/0.48 % (29042)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)
% 0.16/0.48 % (29033)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)
% 0.16/0.48 % (29028)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.16/0.49 % (29033)Refutation not found, incomplete strategy% (29033)------------------------------
% 0.16/0.49 % (29033)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49 % (29033)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49 % (29033)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.49
% 0.16/0.49 % (29033)Memory used [KB]: 6012
% 0.16/0.49 % (29033)Time elapsed: 0.103 s
% 0.16/0.49 % (29033)Instructions burned: 3 (million)
% 0.16/0.49 % (29033)------------------------------
% 0.16/0.49 % (29033)------------------------------
% 0.16/0.49 % (29034)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)
% 0.16/0.49 % (29027)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.16/0.49 % (29028)First to succeed.
% 0.16/0.49 % (29050)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)
% 0.16/0.50 % (29049)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)
% 0.16/0.50 % (29043)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.51 % (29036)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.16/0.51 % (29040)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.51 % (29029)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.16/0.51 % (29029)Instruction limit reached!
% 0.16/0.51 % (29029)------------------------------
% 0.16/0.51 % (29029)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51 % (29029)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51 % (29029)Termination reason: Unknown
% 0.16/0.51 % (29029)Termination phase: Saturation
% 0.16/0.51
% 0.16/0.51 % (29029)Memory used [KB]: 5884
% 0.16/0.51 % (29029)Time elapsed: 0.124 s
% 0.16/0.51 % (29029)Instructions burned: 3 (million)
% 0.16/0.51 % (29029)------------------------------
% 0.16/0.51 % (29029)------------------------------
% 0.16/0.51 % (29028)Refutation found. Thanks to Tanya!
% 0.16/0.51 % SZS status Theorem for theBenchmark
% 0.16/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.51 % (29028)------------------------------
% 0.16/0.51 % (29028)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51 % (29028)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51 % (29028)Termination reason: Refutation
% 0.16/0.51
% 0.16/0.51 % (29028)Memory used [KB]: 6012
% 0.16/0.51 % (29028)Time elapsed: 0.116 s
% 0.16/0.51 % (29028)Instructions burned: 7 (million)
% 0.16/0.51 % (29028)------------------------------
% 0.16/0.51 % (29028)------------------------------
% 0.16/0.51 % (29026)Success in time 0.187 s
%------------------------------------------------------------------------------