TSTP Solution File: MGT005+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT005+2 : TPTP v8.2.0. Bugfixed v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 : Tue May 21 00:42:36 EDT 2024
% Result : Theorem 0.21s 0.44s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 20
% Syntax : Number of formulae : 111 ( 40 unt; 0 def)
% Number of atoms : 691 ( 37 equ)
% Maximal formula atoms : 46 ( 6 avg)
% Number of connectives : 940 ( 360 ~; 329 |; 219 &)
% ( 14 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 10 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 13 con; 0-0 aty)
% Number of variables : 420 ( 381 !; 39 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1134,plain,
$false,
inference(unit_resulting_resolution,[],[f954,f145,f157,f57,f58,f462,f450,f436,f468,f135]) ).
fof(f135,plain,
! [X10,X0,X1,X9] :
( ~ sP36(X9,X0,X1)
| ~ organization(X1,X9)
| ~ organization(X0,X9)
| ~ sP30(X1,X9)
| ~ sP31(X0,X1,X9)
| ~ sP32(X0,X1,X9)
| ~ sP35(X0,X9,X1)
| ~ reorganization(X0,X9,X10)
| sP37(X10,X0,X1) ),
inference(cnf_transformation,[],[f135_D]) ).
fof(f135_D,plain,
! [X1,X0,X10] :
( ! [X9] :
( ~ sP36(X9,X0,X1)
| ~ organization(X1,X9)
| ~ organization(X0,X9)
| ~ sP30(X1,X9)
| ~ sP31(X0,X1,X9)
| ~ sP32(X0,X1,X9)
| ~ sP35(X0,X9,X1)
| ~ reorganization(X0,X9,X10) )
<=> ~ sP37(X10,X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP37])]) ).
fof(f468,plain,
sP36(sK11,sK1,sK2),
inference(unit_resulting_resolution,[],[f63,f64,f133]) ).
fof(f133,plain,
! [X0,X1,X9,X4] :
( ~ survival_chance(X1,X4,X9)
| ~ survival_chance(X0,X4,X9)
| sP36(X9,X0,X1) ),
inference(cnf_transformation,[],[f133_D]) ).
fof(f133_D,plain,
! [X1,X0,X9] :
( ! [X4] :
( ~ survival_chance(X1,X4,X9)
| ~ survival_chance(X0,X4,X9) )
<=> ~ sP36(X9,X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP36])]) ).
fof(f64,plain,
survival_chance(sK2,sK5,sK11),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( sK6 != sK7
& ~ greater(sK6,sK7)
& sK10 = sK12
& ( greater(sK6,sK7)
| sK10 != sK13 )
& greater(sK9,sK8)
& complexity(sK2,sK9,sK11)
& complexity(sK1,sK8,sK11)
& survival_chance(sK2,sK7,sK10)
& survival_chance(sK1,sK6,sK10)
& reorganization_free(sK1,sK12,sK13)
& reorganization_type(sK2,sK3,sK11)
& reorganization_type(sK1,sK3,sK11)
& reorganization(sK2,sK11,sK13)
& reorganization(sK1,sK11,sK12)
& survival_chance(sK2,sK5,sK11)
& survival_chance(sK1,sK5,sK11)
& class(sK2,sK4,sK11)
& class(sK1,sK4,sK11)
& organization(sK2,sK13)
& organization(sK1,sK13)
& organization(sK2,sK11)
& organization(sK1,sK11) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13])],[f26,f49]) ).
fof(f49,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
( X5 != X6
& ~ greater(X5,X6)
& X9 = X11
& ( greater(X5,X6)
| X9 != X12 )
& greater(X8,X7)
& complexity(X1,X8,X10)
& complexity(X0,X7,X10)
& survival_chance(X1,X6,X9)
& survival_chance(X0,X5,X9)
& reorganization_free(X0,X11,X12)
& reorganization_type(X1,X2,X10)
& reorganization_type(X0,X2,X10)
& reorganization(X1,X10,X12)
& reorganization(X0,X10,X11)
& survival_chance(X1,X4,X10)
& survival_chance(X0,X4,X10)
& class(X1,X3,X10)
& class(X0,X3,X10)
& organization(X1,X12)
& organization(X0,X12)
& organization(X1,X10)
& organization(X0,X10) )
=> ( sK6 != sK7
& ~ greater(sK6,sK7)
& sK10 = sK12
& ( greater(sK6,sK7)
| sK10 != sK13 )
& greater(sK9,sK8)
& complexity(sK2,sK9,sK11)
& complexity(sK1,sK8,sK11)
& survival_chance(sK2,sK7,sK10)
& survival_chance(sK1,sK6,sK10)
& reorganization_free(sK1,sK12,sK13)
& reorganization_type(sK2,sK3,sK11)
& reorganization_type(sK1,sK3,sK11)
& reorganization(sK2,sK11,sK13)
& reorganization(sK1,sK11,sK12)
& survival_chance(sK2,sK5,sK11)
& survival_chance(sK1,sK5,sK11)
& class(sK2,sK4,sK11)
& class(sK1,sK4,sK11)
& organization(sK2,sK13)
& organization(sK1,sK13)
& organization(sK2,sK11)
& organization(sK1,sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
( X5 != X6
& ~ greater(X5,X6)
& X9 = X11
& ( greater(X5,X6)
| X9 != X12 )
& greater(X8,X7)
& complexity(X1,X8,X10)
& complexity(X0,X7,X10)
& survival_chance(X1,X6,X9)
& survival_chance(X0,X5,X9)
& reorganization_free(X0,X11,X12)
& reorganization_type(X1,X2,X10)
& reorganization_type(X0,X2,X10)
& reorganization(X1,X10,X12)
& reorganization(X0,X10,X11)
& survival_chance(X1,X4,X10)
& survival_chance(X0,X4,X10)
& class(X1,X3,X10)
& class(X0,X3,X10)
& organization(X1,X12)
& organization(X0,X12)
& organization(X1,X10)
& organization(X0,X10) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
( X5 != X6
& ~ greater(X5,X6)
& X9 = X11
& ( greater(X5,X6)
| X9 != X12 )
& greater(X8,X7)
& complexity(X1,X8,X10)
& complexity(X0,X7,X10)
& survival_chance(X1,X6,X9)
& survival_chance(X0,X5,X9)
& reorganization_free(X0,X11,X12)
& reorganization_type(X1,X2,X10)
& reorganization_type(X0,X2,X10)
& reorganization(X1,X10,X12)
& reorganization(X0,X10,X11)
& survival_chance(X1,X4,X10)
& survival_chance(X0,X4,X10)
& class(X1,X3,X10)
& class(X0,X3,X10)
& organization(X1,X12)
& organization(X0,X12)
& organization(X1,X10)
& organization(X0,X10) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
( ( ( X9 = X12
=> greater(X5,X6) )
& greater(X8,X7)
& complexity(X1,X8,X10)
& complexity(X0,X7,X10)
& survival_chance(X1,X6,X9)
& survival_chance(X0,X5,X9)
& reorganization_free(X0,X11,X12)
& reorganization_type(X1,X2,X10)
& reorganization_type(X0,X2,X10)
& reorganization(X1,X10,X12)
& reorganization(X0,X10,X11)
& survival_chance(X1,X4,X10)
& survival_chance(X0,X4,X10)
& class(X1,X3,X10)
& class(X0,X3,X10)
& organization(X1,X12)
& organization(X0,X12)
& organization(X1,X10)
& organization(X0,X10) )
=> ( X9 = X11
=> ( X5 = X6
| greater(X5,X6) ) ) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X11,X12,X6,X3,X4,X13,X14,X5,X9,X10,X15] :
( ( ( X5 = X15
=> greater(X3,X4) )
& greater(X14,X13)
& complexity(X1,X14,X9)
& complexity(X0,X13,X9)
& survival_chance(X1,X4,X5)
& survival_chance(X0,X3,X5)
& reorganization_free(X0,X10,X15)
& reorganization_type(X1,X11,X9)
& reorganization_type(X0,X11,X9)
& reorganization(X1,X9,X15)
& reorganization(X0,X9,X10)
& survival_chance(X1,X6,X9)
& survival_chance(X0,X6,X9)
& class(X1,X12,X9)
& class(X0,X12,X9)
& organization(X1,X15)
& organization(X0,X15)
& organization(X1,X9)
& organization(X0,X9) )
=> ( X5 = X10
=> ( X3 = X4
| greater(X3,X4) ) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X1,X11,X12,X6,X3,X4,X13,X14,X5,X9,X10,X15] :
( ( ( X5 = X15
=> greater(X3,X4) )
& greater(X14,X13)
& complexity(X1,X14,X9)
& complexity(X0,X13,X9)
& survival_chance(X1,X4,X5)
& survival_chance(X0,X3,X5)
& reorganization_free(X0,X10,X15)
& reorganization_type(X1,X11,X9)
& reorganization_type(X0,X11,X9)
& reorganization(X1,X9,X15)
& reorganization(X0,X9,X10)
& survival_chance(X1,X6,X9)
& survival_chance(X0,X6,X9)
& class(X1,X12,X9)
& class(X0,X12,X9)
& organization(X1,X15)
& organization(X0,X15)
& organization(X1,X9)
& organization(X0,X9) )
=> ( X5 = X10
=> ( X3 = X4
| greater(X3,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_plus_FOL) ).
fof(f63,plain,
survival_chance(sK1,sK5,sK11),
inference(cnf_transformation,[],[f50]) ).
fof(f436,plain,
sP31(sK1,sK2,sK11),
inference(unit_resulting_resolution,[],[f67,f68,f123]) ).
fof(f123,plain,
! [X2,X0,X1,X9] :
( ~ reorganization_type(X1,X2,X9)
| ~ reorganization_type(X0,X2,X9)
| sP31(X0,X1,X9) ),
inference(cnf_transformation,[],[f123_D]) ).
fof(f123_D,plain,
! [X9,X1,X0] :
( ! [X2] :
( ~ reorganization_type(X1,X2,X9)
| ~ reorganization_type(X0,X2,X9) )
<=> ~ sP31(X0,X1,X9) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP31])]) ).
fof(f68,plain,
reorganization_type(sK2,sK3,sK11),
inference(cnf_transformation,[],[f50]) ).
fof(f67,plain,
reorganization_type(sK1,sK3,sK11),
inference(cnf_transformation,[],[f50]) ).
fof(f450,plain,
sP32(sK1,sK2,sK11),
inference(unit_resulting_resolution,[],[f61,f62,f125]) ).
fof(f125,plain,
! [X3,X0,X1,X9] :
( ~ class(X1,X3,X9)
| ~ class(X0,X3,X9)
| sP32(X0,X1,X9) ),
inference(cnf_transformation,[],[f125_D]) ).
fof(f125_D,plain,
! [X9,X1,X0] :
( ! [X3] :
( ~ class(X1,X3,X9)
| ~ class(X0,X3,X9) )
<=> ~ sP32(X0,X1,X9) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP32])]) ).
fof(f62,plain,
class(sK2,sK4,sK11),
inference(cnf_transformation,[],[f50]) ).
fof(f61,plain,
class(sK1,sK4,sK11),
inference(cnf_transformation,[],[f50]) ).
fof(f462,plain,
sP35(sK1,sK11,sK2),
inference(unit_resulting_resolution,[],[f72,f320,f131]) ).
fof(f131,plain,
! [X0,X1,X9,X7] :
( ~ sP33(X1,X9,X7)
| ~ complexity(X0,X7,X9)
| sP35(X0,X9,X1) ),
inference(cnf_transformation,[],[f131_D]) ).
fof(f131_D,plain,
! [X1,X9,X0] :
( ! [X7] :
( ~ sP33(X1,X9,X7)
| ~ complexity(X0,X7,X9) )
<=> ~ sP35(X0,X9,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP35])]) ).
fof(f320,plain,
sP33(sK2,sK11,sK8),
inference(unit_resulting_resolution,[],[f74,f73,f127]) ).
fof(f127,plain,
! [X1,X8,X9,X7] :
( ~ complexity(X1,X8,X9)
| ~ greater(X8,X7)
| sP33(X1,X9,X7) ),
inference(cnf_transformation,[],[f127_D]) ).
fof(f127_D,plain,
! [X7,X9,X1] :
( ! [X8] :
( ~ complexity(X1,X8,X9)
| ~ greater(X8,X7) )
<=> ~ sP33(X1,X9,X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP33])]) ).
fof(f73,plain,
complexity(sK2,sK9,sK11),
inference(cnf_transformation,[],[f50]) ).
fof(f74,plain,
greater(sK9,sK8),
inference(cnf_transformation,[],[f50]) ).
fof(f72,plain,
complexity(sK1,sK8,sK11),
inference(cnf_transformation,[],[f50]) ).
fof(f58,plain,
organization(sK2,sK11),
inference(cnf_transformation,[],[f50]) ).
fof(f57,plain,
organization(sK1,sK11),
inference(cnf_transformation,[],[f50]) ).
fof(f157,plain,
sP30(sK2,sK11),
inference(unit_resulting_resolution,[],[f66,f121]) ).
fof(f121,plain,
! [X11,X1,X9] :
( ~ reorganization(X1,X9,X11)
| sP30(X1,X9) ),
inference(cnf_transformation,[],[f121_D]) ).
fof(f121_D,plain,
! [X9,X1] :
( ! [X11] : ~ reorganization(X1,X9,X11)
<=> ~ sP30(X1,X9) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP30])]) ).
fof(f66,plain,
reorganization(sK2,sK11,sK13),
inference(cnf_transformation,[],[f50]) ).
fof(f145,plain,
reorganization(sK1,sK11,sK10),
inference(forward_demodulation,[],[f65,f76]) ).
fof(f76,plain,
sK10 = sK12,
inference(cnf_transformation,[],[f50]) ).
fof(f65,plain,
reorganization(sK1,sK11,sK12),
inference(cnf_transformation,[],[f50]) ).
fof(f954,plain,
~ sP37(sK10,sK1,sK2),
inference(unit_resulting_resolution,[],[f913,f70,f529,f914,f136]) ).
fof(f136,plain,
! [X10,X0,X1,X5] :
( ~ sP37(X10,X0,X1)
| ~ organization(X1,X10)
| ~ organization(X0,X10)
| ~ sP34(X5,X10,X1)
| ~ survival_chance(X0,X5,X10) ),
inference(general_splitting,[],[f134,f135_D]) ).
fof(f134,plain,
! [X10,X0,X1,X9,X5] :
( ~ survival_chance(X0,X5,X10)
| ~ reorganization(X0,X9,X10)
| ~ organization(X1,X10)
| ~ organization(X0,X10)
| ~ organization(X1,X9)
| ~ organization(X0,X9)
| ~ sP30(X1,X9)
| ~ sP31(X0,X1,X9)
| ~ sP32(X0,X1,X9)
| ~ sP34(X5,X10,X1)
| ~ sP35(X0,X9,X1)
| ~ sP36(X9,X0,X1) ),
inference(general_splitting,[],[f132,f133_D]) ).
fof(f132,plain,
! [X10,X0,X1,X9,X4,X5] :
( ~ survival_chance(X0,X5,X10)
| ~ reorganization(X0,X9,X10)
| ~ survival_chance(X1,X4,X9)
| ~ survival_chance(X0,X4,X9)
| ~ organization(X1,X10)
| ~ organization(X0,X10)
| ~ organization(X1,X9)
| ~ organization(X0,X9)
| ~ sP30(X1,X9)
| ~ sP31(X0,X1,X9)
| ~ sP32(X0,X1,X9)
| ~ sP34(X5,X10,X1)
| ~ sP35(X0,X9,X1) ),
inference(general_splitting,[],[f130,f131_D]) ).
fof(f130,plain,
! [X10,X0,X1,X9,X7,X4,X5] :
( ~ complexity(X0,X7,X9)
| ~ survival_chance(X0,X5,X10)
| ~ reorganization(X0,X9,X10)
| ~ survival_chance(X1,X4,X9)
| ~ survival_chance(X0,X4,X9)
| ~ organization(X1,X10)
| ~ organization(X0,X10)
| ~ organization(X1,X9)
| ~ organization(X0,X9)
| ~ sP30(X1,X9)
| ~ sP31(X0,X1,X9)
| ~ sP32(X0,X1,X9)
| ~ sP33(X1,X9,X7)
| ~ sP34(X5,X10,X1) ),
inference(general_splitting,[],[f128,f129_D]) ).
fof(f129,plain,
! [X10,X1,X6,X5] :
( ~ survival_chance(X1,X6,X10)
| greater(X5,X6)
| X5 = X6
| sP34(X5,X10,X1) ),
inference(cnf_transformation,[],[f129_D]) ).
fof(f129_D,plain,
! [X1,X10,X5] :
( ! [X6] :
( ~ survival_chance(X1,X6,X10)
| greater(X5,X6)
| X5 = X6 )
<=> ~ sP34(X5,X10,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP34])]) ).
fof(f128,plain,
! [X10,X0,X1,X6,X9,X7,X4,X5] :
( X5 = X6
| greater(X5,X6)
| ~ complexity(X0,X7,X9)
| ~ survival_chance(X1,X6,X10)
| ~ survival_chance(X0,X5,X10)
| ~ reorganization(X0,X9,X10)
| ~ survival_chance(X1,X4,X9)
| ~ survival_chance(X0,X4,X9)
| ~ organization(X1,X10)
| ~ organization(X0,X10)
| ~ organization(X1,X9)
| ~ organization(X0,X9)
| ~ sP30(X1,X9)
| ~ sP31(X0,X1,X9)
| ~ sP32(X0,X1,X9)
| ~ sP33(X1,X9,X7) ),
inference(general_splitting,[],[f126,f127_D]) ).
fof(f126,plain,
! [X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( X5 = X6
| greater(X5,X6)
| ~ greater(X8,X7)
| ~ complexity(X1,X8,X9)
| ~ complexity(X0,X7,X9)
| ~ survival_chance(X1,X6,X10)
| ~ survival_chance(X0,X5,X10)
| ~ reorganization(X0,X9,X10)
| ~ survival_chance(X1,X4,X9)
| ~ survival_chance(X0,X4,X9)
| ~ organization(X1,X10)
| ~ organization(X0,X10)
| ~ organization(X1,X9)
| ~ organization(X0,X9)
| ~ sP30(X1,X9)
| ~ sP31(X0,X1,X9)
| ~ sP32(X0,X1,X9) ),
inference(general_splitting,[],[f124,f125_D]) ).
fof(f124,plain,
! [X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( X5 = X6
| greater(X5,X6)
| ~ greater(X8,X7)
| ~ complexity(X1,X8,X9)
| ~ complexity(X0,X7,X9)
| ~ survival_chance(X1,X6,X10)
| ~ survival_chance(X0,X5,X10)
| ~ reorganization(X0,X9,X10)
| ~ survival_chance(X1,X4,X9)
| ~ survival_chance(X0,X4,X9)
| ~ class(X1,X3,X9)
| ~ class(X0,X3,X9)
| ~ organization(X1,X10)
| ~ organization(X0,X10)
| ~ organization(X1,X9)
| ~ organization(X0,X9)
| ~ sP30(X1,X9)
| ~ sP31(X0,X1,X9) ),
inference(general_splitting,[],[f122,f123_D]) ).
fof(f122,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( X5 = X6
| greater(X5,X6)
| ~ greater(X8,X7)
| ~ complexity(X1,X8,X9)
| ~ complexity(X0,X7,X9)
| ~ survival_chance(X1,X6,X10)
| ~ survival_chance(X0,X5,X10)
| ~ reorganization_type(X1,X2,X9)
| ~ reorganization_type(X0,X2,X9)
| ~ reorganization(X0,X9,X10)
| ~ survival_chance(X1,X4,X9)
| ~ survival_chance(X0,X4,X9)
| ~ class(X1,X3,X9)
| ~ class(X0,X3,X9)
| ~ organization(X1,X10)
| ~ organization(X0,X10)
| ~ organization(X1,X9)
| ~ organization(X0,X9)
| ~ sP30(X1,X9) ),
inference(general_splitting,[],[f88,f121_D]) ).
fof(f88,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( X5 = X6
| greater(X5,X6)
| ~ greater(X8,X7)
| ~ complexity(X1,X8,X9)
| ~ complexity(X0,X7,X9)
| ~ survival_chance(X1,X6,X10)
| ~ survival_chance(X0,X5,X10)
| ~ reorganization_type(X1,X2,X9)
| ~ reorganization_type(X0,X2,X9)
| ~ reorganization(X1,X9,X11)
| ~ reorganization(X0,X9,X10)
| ~ survival_chance(X1,X4,X9)
| ~ survival_chance(X0,X4,X9)
| ~ class(X1,X3,X9)
| ~ class(X0,X3,X9)
| ~ organization(X1,X10)
| ~ organization(X0,X10)
| ~ organization(X1,X9)
| ~ organization(X0,X9) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( X5 = X6
| greater(X5,X6)
| ~ greater(X8,X7)
| ~ complexity(X1,X8,X9)
| ~ complexity(X0,X7,X9)
| ~ survival_chance(X1,X6,X10)
| ~ survival_chance(X0,X5,X10)
| ~ reorganization_type(X1,X2,X9)
| ~ reorganization_type(X0,X2,X9)
| ~ reorganization(X1,X9,X11)
| ~ reorganization(X0,X9,X10)
| ~ survival_chance(X1,X4,X9)
| ~ survival_chance(X0,X4,X9)
| ~ class(X1,X3,X9)
| ~ class(X0,X3,X9)
| ~ organization(X1,X10)
| ~ organization(X0,X10)
| ~ organization(X1,X9)
| ~ organization(X0,X9) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( X5 = X6
| greater(X5,X6)
| ~ greater(X8,X7)
| ~ complexity(X1,X8,X9)
| ~ complexity(X0,X7,X9)
| ~ survival_chance(X1,X6,X10)
| ~ survival_chance(X0,X5,X10)
| ~ reorganization_type(X1,X2,X9)
| ~ reorganization_type(X0,X2,X9)
| ~ reorganization(X1,X9,X11)
| ~ reorganization(X0,X9,X10)
| ~ survival_chance(X1,X4,X9)
| ~ survival_chance(X0,X4,X9)
| ~ class(X1,X3,X9)
| ~ class(X0,X3,X9)
| ~ organization(X1,X10)
| ~ organization(X0,X10)
| ~ organization(X1,X9)
| ~ organization(X0,X9) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( greater(X8,X7)
& complexity(X1,X8,X9)
& complexity(X0,X7,X9)
& survival_chance(X1,X6,X10)
& survival_chance(X0,X5,X10)
& reorganization_type(X1,X2,X9)
& reorganization_type(X0,X2,X9)
& reorganization(X1,X9,X11)
& reorganization(X0,X9,X10)
& survival_chance(X1,X4,X9)
& survival_chance(X0,X4,X9)
& class(X1,X3,X9)
& class(X0,X3,X9)
& organization(X1,X10)
& organization(X0,X10)
& organization(X1,X9)
& organization(X0,X9) )
=> ( X5 = X6
| greater(X5,X6) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X1,X11,X12,X6,X3,X4,X13,X14,X9,X10,X15] :
( ( greater(X14,X13)
& complexity(X1,X14,X9)
& complexity(X0,X13,X9)
& survival_chance(X1,X4,X10)
& survival_chance(X0,X3,X10)
& reorganization_type(X1,X11,X9)
& reorganization_type(X0,X11,X9)
& reorganization(X1,X9,X15)
& reorganization(X0,X9,X10)
& survival_chance(X1,X6,X9)
& survival_chance(X0,X6,X9)
& class(X1,X12,X9)
& class(X0,X12,X9)
& organization(X1,X10)
& organization(X0,X10)
& organization(X1,X9)
& organization(X0,X9) )
=> ( X3 = X4
| greater(X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a11_FOL) ).
fof(f914,plain,
organization(sK2,sK10),
inference(unit_resulting_resolution,[],[f60,f239,f892,f138]) ).
fof(f138,plain,
! [X3,X0,X1] :
( ~ sP38(X0,X1)
| ~ greater(X3,X1)
| ~ organization(X0,X3)
| organization(X0,X1) ),
inference(general_splitting,[],[f94,f137_D]) ).
fof(f137,plain,
! [X2,X0,X1] :
( ~ organization(X0,X2)
| ~ greater(X1,X2)
| sP38(X0,X1) ),
inference(cnf_transformation,[],[f137_D]) ).
fof(f137_D,plain,
! [X1,X0] :
( ! [X2] :
( ~ organization(X0,X2)
| ~ greater(X1,X2) )
<=> ~ sP38(X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP38])]) ).
fof(f94,plain,
! [X2,X3,X0,X1] :
( organization(X0,X1)
| ~ greater(X3,X1)
| ~ greater(X1,X2)
| ~ organization(X0,X3)
| ~ organization(X0,X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2,X3] :
( organization(X0,X1)
| ~ greater(X3,X1)
| ~ greater(X1,X2)
| ~ organization(X0,X3)
| ~ organization(X0,X2) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2,X3] :
( organization(X0,X1)
| ~ greater(X3,X1)
| ~ greater(X1,X2)
| ~ organization(X0,X3)
| ~ organization(X0,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2,X3] :
( ( greater(X3,X1)
& greater(X1,X2)
& organization(X0,X3)
& organization(X0,X2) )
=> organization(X0,X1) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0,X5,X7,X8] :
( ( greater(X8,X5)
& greater(X5,X7)
& organization(X0,X8)
& organization(X0,X7) )
=> organization(X0,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp13) ).
fof(f892,plain,
greater(sK13,sK10),
inference(unit_resulting_resolution,[],[f145,f879,f522]) ).
fof(f522,plain,
! [X0,X1] :
( ~ reorganization(X1,sK11,X0)
| greater(sK13,X0)
| sP28(X1,sK11,sK2) ),
inference(resolution,[],[f518,f117]) ).
fof(f117,plain,
! [X0,X1,X6,X7] :
( ~ sP27(X6,X7,X1)
| ~ reorganization(X0,X6,X7)
| sP28(X0,X6,X1) ),
inference(cnf_transformation,[],[f117_D]) ).
fof(f117_D,plain,
! [X1,X6,X0] :
( ! [X7] :
( ~ sP27(X6,X7,X1)
| ~ reorganization(X0,X6,X7) )
<=> ~ sP28(X0,X6,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP28])]) ).
fof(f518,plain,
! [X0] :
( sP27(sK11,X0,sK2)
| greater(sK13,X0) ),
inference(subsumption_resolution,[],[f516,f60]) ).
fof(f516,plain,
! [X0] :
( greater(sK13,X0)
| ~ organization(sK2,sK13)
| sP27(sK11,X0,sK2) ),
inference(resolution,[],[f115,f66]) ).
fof(f115,plain,
! [X1,X8,X6,X7] :
( ~ reorganization(X1,X6,X8)
| greater(X8,X7)
| ~ organization(X1,X8)
| sP27(X6,X7,X1) ),
inference(cnf_transformation,[],[f115_D]) ).
fof(f115_D,plain,
! [X1,X7,X6] :
( ! [X8] :
( ~ reorganization(X1,X6,X8)
| greater(X8,X7)
| ~ organization(X1,X8) )
<=> ~ sP27(X6,X7,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP27])]) ).
fof(f879,plain,
~ sP28(sK1,sK11,sK2),
inference(unit_resulting_resolution,[],[f528,f72,f422,f408,f57,f119]) ).
fof(f119,plain,
! [X0,X1,X6,X4] :
( ~ sP28(X0,X6,X1)
| ~ organization(X0,X6)
| ~ sP25(X0,X1,X6)
| ~ sP26(X6,X0,X1)
| ~ complexity(X0,X4,X6)
| sP29(X4,X6,X1) ),
inference(cnf_transformation,[],[f119_D]) ).
fof(f119_D,plain,
! [X1,X6,X4] :
( ! [X0] :
( ~ sP28(X0,X6,X1)
| ~ organization(X0,X6)
| ~ sP25(X0,X1,X6)
| ~ sP26(X6,X0,X1)
| ~ complexity(X0,X4,X6) )
<=> ~ sP29(X4,X6,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP29])]) ).
fof(f408,plain,
sP25(sK1,sK2,sK11),
inference(unit_resulting_resolution,[],[f67,f68,f111]) ).
fof(f111,plain,
! [X2,X0,X1,X6] :
( ~ reorganization_type(X1,X2,X6)
| ~ reorganization_type(X0,X2,X6)
| sP25(X0,X1,X6) ),
inference(cnf_transformation,[],[f111_D]) ).
fof(f111_D,plain,
! [X6,X1,X0] :
( ! [X2] :
( ~ reorganization_type(X1,X2,X6)
| ~ reorganization_type(X0,X2,X6) )
<=> ~ sP25(X0,X1,X6) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP25])]) ).
fof(f422,plain,
sP26(sK11,sK1,sK2),
inference(unit_resulting_resolution,[],[f61,f62,f113]) ).
fof(f113,plain,
! [X3,X0,X1,X6] :
( ~ class(X1,X3,X6)
| ~ class(X0,X3,X6)
| sP26(X6,X0,X1) ),
inference(cnf_transformation,[],[f113_D]) ).
fof(f113_D,plain,
! [X1,X0,X6] :
( ! [X3] :
( ~ class(X1,X3,X6)
| ~ class(X0,X3,X6) )
<=> ~ sP26(X6,X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP26])]) ).
fof(f528,plain,
~ sP29(sK8,sK11,sK2),
inference(unit_resulting_resolution,[],[f74,f58,f73,f120]) ).
fof(f120,plain,
! [X1,X6,X4,X5] :
( ~ sP29(X4,X6,X1)
| ~ complexity(X1,X5,X6)
| ~ organization(X1,X6)
| ~ greater(X5,X4) ),
inference(general_splitting,[],[f118,f119_D]) ).
fof(f118,plain,
! [X0,X1,X6,X4,X5] :
( ~ greater(X5,X4)
| ~ complexity(X1,X5,X6)
| ~ complexity(X0,X4,X6)
| ~ organization(X1,X6)
| ~ organization(X0,X6)
| ~ sP25(X0,X1,X6)
| ~ sP26(X6,X0,X1)
| ~ sP28(X0,X6,X1) ),
inference(general_splitting,[],[f116,f117_D]) ).
fof(f116,plain,
! [X0,X1,X6,X7,X4,X5] :
( ~ greater(X5,X4)
| ~ complexity(X1,X5,X6)
| ~ complexity(X0,X4,X6)
| ~ reorganization(X0,X6,X7)
| ~ organization(X1,X6)
| ~ organization(X0,X6)
| ~ sP25(X0,X1,X6)
| ~ sP26(X6,X0,X1)
| ~ sP27(X6,X7,X1) ),
inference(general_splitting,[],[f114,f115_D]) ).
fof(f114,plain,
! [X0,X1,X8,X6,X7,X4,X5] :
( greater(X8,X7)
| ~ greater(X5,X4)
| ~ complexity(X1,X5,X6)
| ~ complexity(X0,X4,X6)
| ~ reorganization(X1,X6,X8)
| ~ reorganization(X0,X6,X7)
| ~ organization(X1,X8)
| ~ organization(X1,X6)
| ~ organization(X0,X6)
| ~ sP25(X0,X1,X6)
| ~ sP26(X6,X0,X1) ),
inference(general_splitting,[],[f112,f113_D]) ).
fof(f112,plain,
! [X3,X0,X1,X8,X6,X7,X4,X5] :
( greater(X8,X7)
| ~ greater(X5,X4)
| ~ complexity(X1,X5,X6)
| ~ complexity(X0,X4,X6)
| ~ reorganization(X1,X6,X8)
| ~ reorganization(X0,X6,X7)
| ~ class(X1,X3,X6)
| ~ class(X0,X3,X6)
| ~ organization(X1,X8)
| ~ organization(X1,X6)
| ~ organization(X0,X6)
| ~ sP25(X0,X1,X6) ),
inference(general_splitting,[],[f87,f111_D]) ).
fof(f87,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( greater(X8,X7)
| ~ greater(X5,X4)
| ~ complexity(X1,X5,X6)
| ~ complexity(X0,X4,X6)
| ~ reorganization_type(X1,X2,X6)
| ~ reorganization_type(X0,X2,X6)
| ~ reorganization(X1,X6,X8)
| ~ reorganization(X0,X6,X7)
| ~ class(X1,X3,X6)
| ~ class(X0,X3,X6)
| ~ organization(X1,X8)
| ~ organization(X1,X6)
| ~ organization(X0,X6) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( greater(X8,X7)
| ~ greater(X5,X4)
| ~ complexity(X1,X5,X6)
| ~ complexity(X0,X4,X6)
| ~ reorganization_type(X1,X2,X6)
| ~ reorganization_type(X0,X2,X6)
| ~ reorganization(X1,X6,X8)
| ~ reorganization(X0,X6,X7)
| ~ class(X1,X3,X6)
| ~ class(X0,X3,X6)
| ~ organization(X1,X8)
| ~ organization(X1,X6)
| ~ organization(X0,X6) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( greater(X8,X7)
| ~ greater(X5,X4)
| ~ complexity(X1,X5,X6)
| ~ complexity(X0,X4,X6)
| ~ reorganization_type(X1,X2,X6)
| ~ reorganization_type(X0,X2,X6)
| ~ reorganization(X1,X6,X8)
| ~ reorganization(X0,X6,X7)
| ~ class(X1,X3,X6)
| ~ class(X0,X3,X6)
| ~ organization(X1,X8)
| ~ organization(X1,X6)
| ~ organization(X0,X6) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( greater(X5,X4)
& complexity(X1,X5,X6)
& complexity(X0,X4,X6)
& reorganization_type(X1,X2,X6)
& reorganization_type(X0,X2,X6)
& reorganization(X1,X6,X8)
& reorganization(X0,X6,X7)
& class(X1,X3,X6)
& class(X0,X3,X6)
& organization(X1,X8)
& organization(X1,X6)
& organization(X0,X6) )
=> greater(X8,X7) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X0,X1,X11,X12,X13,X14,X9,X10,X15] :
( ( greater(X14,X13)
& complexity(X1,X14,X9)
& complexity(X0,X13,X9)
& reorganization_type(X1,X11,X9)
& reorganization_type(X0,X11,X9)
& reorganization(X1,X9,X15)
& reorganization(X0,X9,X10)
& class(X1,X12,X9)
& class(X0,X12,X9)
& organization(X1,X15)
& organization(X1,X9)
& organization(X0,X9) )
=> greater(X15,X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a10_FOL) ).
fof(f239,plain,
sP38(sK2,sK10),
inference(unit_resulting_resolution,[],[f165,f58,f137]) ).
fof(f165,plain,
greater(sK10,sK11),
inference(unit_resulting_resolution,[],[f145,f92]) ).
fof(f92,plain,
! [X2,X0,X1] :
( ~ reorganization(X0,X1,X2)
| greater(X2,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( greater(X2,X1)
| ~ reorganization(X0,X1,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( reorganization(X0,X1,X2)
=> greater(X2,X1) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0,X9,X10] :
( reorganization(X0,X9,X10)
=> greater(X10,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp7) ).
fof(f60,plain,
organization(sK2,sK13),
inference(cnf_transformation,[],[f50]) ).
fof(f529,plain,
sP34(sK6,sK10,sK2),
inference(unit_resulting_resolution,[],[f77,f78,f71,f129]) ).
fof(f71,plain,
survival_chance(sK2,sK7,sK10),
inference(cnf_transformation,[],[f50]) ).
fof(f78,plain,
sK6 != sK7,
inference(cnf_transformation,[],[f50]) ).
fof(f77,plain,
~ greater(sK6,sK7),
inference(cnf_transformation,[],[f50]) ).
fof(f70,plain,
survival_chance(sK1,sK6,sK10),
inference(cnf_transformation,[],[f50]) ).
fof(f913,plain,
organization(sK1,sK10),
inference(unit_resulting_resolution,[],[f59,f237,f892,f138]) ).
fof(f237,plain,
sP38(sK1,sK10),
inference(unit_resulting_resolution,[],[f165,f57,f137]) ).
fof(f59,plain,
organization(sK1,sK13),
inference(cnf_transformation,[],[f50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT005+2 : TPTP v8.2.0. Bugfixed v3.2.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun May 19 00:00:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (23059)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39 % (23062)WARNING: value z3 for option sas not known
% 0.14/0.39 % (23060)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 % (23061)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.39 % (23063)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.39 % (23062)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.40 % (23065)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.40 % (23064)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.40 % (23066)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.40 TRYING [1]
% 0.14/0.40 TRYING [1]
% 0.14/0.40 TRYING [2]
% 0.14/0.40 TRYING [2]
% 0.14/0.41 TRYING [3]
% 0.14/0.41 TRYING [3]
% 0.14/0.44 % (23066)First to succeed.
% 0.14/0.44 TRYING [4]
% 0.21/0.44 TRYING [4]
% 0.21/0.44 % (23066)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23059"
% 0.21/0.44 % (23066)Refutation found. Thanks to Tanya!
% 0.21/0.44 % SZS status Theorem for theBenchmark
% 0.21/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.44 % (23066)------------------------------
% 0.21/0.44 % (23066)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.44 % (23066)Termination reason: Refutation
% 0.21/0.44
% 0.21/0.44 % (23066)Memory used [KB]: 1348
% 0.21/0.44 % (23066)Time elapsed: 0.046 s
% 0.21/0.44 % (23066)Instructions burned: 63 (million)
% 0.21/0.44 % (23059)Success in time 0.074 s
%------------------------------------------------------------------------------