TSTP Solution File: MGT001+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT001+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.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 Apr 30 13:54:00 EDT 2024
% Result : Theorem 0.13s 0.35s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 13
% Syntax : Number of formulae : 99 ( 23 unt; 0 def)
% Number of atoms : 492 ( 0 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 644 ( 251 ~; 236 |; 129 &)
% ( 10 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-6 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 383 ( 348 !; 35 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f203,plain,
$false,
inference(subsumption_resolution,[],[f199,f194]) ).
fof(f194,plain,
greater(sK11(sK3,sK5),sK11(sK2,sK4)),
inference(resolution,[],[f193,f58]) ).
fof(f58,plain,
! [X2,X3,X0,X1] :
( ~ sP0(X0,X1,X2,X3)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2,X3] :
( ( sP0(X0,X1,X2,X3)
| ~ greater(X1,X0)
| ~ greater(X3,X2) )
& ( ( greater(X1,X0)
& greater(X3,X2) )
| ~ sP0(X0,X1,X2,X3) ) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
! [X6,X7,X4,X5] :
( ( sP0(X6,X7,X4,X5)
| ~ greater(X7,X6)
| ~ greater(X5,X4) )
& ( ( greater(X7,X6)
& greater(X5,X4) )
| ~ sP0(X6,X7,X4,X5) ) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X6,X7,X4,X5] :
( ( sP0(X6,X7,X4,X5)
| ~ greater(X7,X6)
| ~ greater(X5,X4) )
& ( ( greater(X7,X6)
& greater(X5,X4) )
| ~ sP0(X6,X7,X4,X5) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X6,X7,X4,X5] :
( sP0(X6,X7,X4,X5)
<=> ( greater(X7,X6)
& greater(X5,X4) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f193,plain,
sP0(sK11(sK2,sK4),sK11(sK3,sK5),sK12(sK2,sK4),sK12(sK3,sK5)),
inference(subsumption_resolution,[],[f192,f125]) ).
fof(f125,plain,
greater(sK10(sK3,sK5),sK10(sK2,sK4)),
inference(resolution,[],[f124,f65]) ).
fof(f65,plain,
reproducibility(sK2,sK10(sK2,sK4),sK4),
inference(resolution,[],[f62,f43]) ).
fof(f43,plain,
organization(sK2,sK4),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( ~ greater(sK9,sK8)
& greater(sK7,sK6)
& survival_chance(sK3,sK9,sK5)
& survival_chance(sK2,sK8,sK4)
& inertia(sK3,sK7,sK5)
& inertia(sK2,sK6,sK4)
& reorganization_free(sK3,sK5,sK5)
& reorganization_free(sK2,sK4,sK4)
& organization(sK3,sK5)
& organization(sK2,sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9])],[f16,f29]) ).
fof(f29,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ greater(X7,X6)
& greater(X5,X4)
& survival_chance(X1,X7,X3)
& survival_chance(X0,X6,X2)
& inertia(X1,X5,X3)
& inertia(X0,X4,X2)
& reorganization_free(X1,X3,X3)
& reorganization_free(X0,X2,X2)
& organization(X1,X3)
& organization(X0,X2) )
=> ( ~ greater(sK9,sK8)
& greater(sK7,sK6)
& survival_chance(sK3,sK9,sK5)
& survival_chance(sK2,sK8,sK4)
& inertia(sK3,sK7,sK5)
& inertia(sK2,sK6,sK4)
& reorganization_free(sK3,sK5,sK5)
& reorganization_free(sK2,sK4,sK4)
& organization(sK3,sK5)
& organization(sK2,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ greater(X7,X6)
& greater(X5,X4)
& survival_chance(X1,X7,X3)
& survival_chance(X0,X6,X2)
& inertia(X1,X5,X3)
& inertia(X0,X4,X2)
& reorganization_free(X1,X3,X3)
& reorganization_free(X0,X2,X2)
& organization(X1,X3)
& organization(X0,X2) ),
inference(flattening,[],[f15]) ).
fof(f15,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ greater(X7,X6)
& greater(X5,X4)
& survival_chance(X1,X7,X3)
& survival_chance(X0,X6,X2)
& inertia(X1,X5,X3)
& inertia(X0,X4,X2)
& reorganization_free(X1,X3,X3)
& reorganization_free(X0,X2,X2)
& organization(X1,X3)
& organization(X0,X2) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( greater(X5,X4)
& survival_chance(X1,X7,X3)
& survival_chance(X0,X6,X2)
& inertia(X1,X5,X3)
& inertia(X0,X4,X2)
& reorganization_free(X1,X3,X3)
& reorganization_free(X0,X2,X2)
& organization(X1,X3)
& organization(X0,X2) )
=> greater(X7,X6) ),
inference(rectify,[],[f8]) ).
fof(f8,negated_conjecture,
~ ! [X0,X5,X12,X13,X16,X17,X10,X11] :
( ( greater(X17,X16)
& survival_chance(X5,X11,X13)
& survival_chance(X0,X10,X12)
& inertia(X5,X17,X13)
& inertia(X0,X16,X12)
& reorganization_free(X5,X13,X13)
& reorganization_free(X0,X12,X12)
& organization(X5,X13)
& organization(X0,X12) )
=> greater(X11,X10) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
! [X0,X5,X12,X13,X16,X17,X10,X11] :
( ( greater(X17,X16)
& survival_chance(X5,X11,X13)
& survival_chance(X0,X10,X12)
& inertia(X5,X17,X13)
& inertia(X0,X16,X12)
& reorganization_free(X5,X13,X13)
& reorganization_free(X0,X12,X12)
& organization(X5,X13)
& organization(X0,X12) )
=> greater(X11,X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_FOL) ).
fof(f62,plain,
! [X0,X1] :
( ~ organization(X0,X1)
| reproducibility(X0,sK10(X0,X1),X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( reproducibility(X0,sK10(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f23,f37]) ).
fof(f37,plain,
! [X0,X1] :
( ? [X2] : reproducibility(X0,X2,X1)
=> reproducibility(X0,sK10(X0,X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0,X1] :
( ? [X2] : reproducibility(X0,X2,X1)
| ~ organization(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( organization(X0,X1)
=> ? [X2] : reproducibility(X0,X2,X1) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( organization(X0,X1)
=> ? [X4] : reproducibility(X0,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp3) ).
fof(f124,plain,
! [X0] :
( ~ reproducibility(sK2,X0,sK4)
| greater(sK10(sK3,sK5),X0) ),
inference(resolution,[],[f121,f66]) ).
fof(f66,plain,
reproducibility(sK3,sK10(sK3,sK5),sK5),
inference(resolution,[],[f62,f44]) ).
fof(f44,plain,
organization(sK3,sK5),
inference(cnf_transformation,[],[f30]) ).
fof(f121,plain,
! [X0,X1] :
( ~ reproducibility(sK3,X0,sK5)
| greater(X0,X1)
| ~ reproducibility(sK2,X1,sK4) ),
inference(subsumption_resolution,[],[f120,f43]) ).
fof(f120,plain,
! [X0,X1] :
( greater(X0,X1)
| ~ reproducibility(sK3,X0,sK5)
| ~ reproducibility(sK2,X1,sK4)
| ~ organization(sK2,sK4) ),
inference(subsumption_resolution,[],[f119,f45]) ).
fof(f45,plain,
reorganization_free(sK2,sK4,sK4),
inference(cnf_transformation,[],[f30]) ).
fof(f119,plain,
! [X0,X1] :
( greater(X0,X1)
| ~ reproducibility(sK3,X0,sK5)
| ~ reproducibility(sK2,X1,sK4)
| ~ reorganization_free(sK2,sK4,sK4)
| ~ organization(sK2,sK4) ),
inference(subsumption_resolution,[],[f117,f51]) ).
fof(f51,plain,
greater(sK7,sK6),
inference(cnf_transformation,[],[f30]) ).
fof(f117,plain,
! [X0,X1] :
( greater(X0,X1)
| ~ greater(sK7,sK6)
| ~ reproducibility(sK3,X0,sK5)
| ~ reproducibility(sK2,X1,sK4)
| ~ reorganization_free(sK2,sK4,sK4)
| ~ organization(sK2,sK4) ),
inference(resolution,[],[f102,f47]) ).
fof(f47,plain,
inertia(sK2,sK6,sK4),
inference(cnf_transformation,[],[f30]) ).
fof(f102,plain,
! [X2,X3,X0,X1,X4] :
( ~ inertia(X3,X0,X4)
| greater(X1,X2)
| ~ greater(sK7,X0)
| ~ reproducibility(sK3,X1,sK5)
| ~ reproducibility(X3,X2,X4)
| ~ reorganization_free(X3,X4,X4)
| ~ organization(X3,X4) ),
inference(subsumption_resolution,[],[f101,f44]) ).
fof(f101,plain,
! [X2,X3,X0,X1,X4] :
( ~ greater(sK7,X0)
| greater(X1,X2)
| ~ inertia(X3,X0,X4)
| ~ reproducibility(sK3,X1,sK5)
| ~ reproducibility(X3,X2,X4)
| ~ reorganization_free(X3,X4,X4)
| ~ organization(sK3,sK5)
| ~ organization(X3,X4) ),
inference(subsumption_resolution,[],[f98,f46]) ).
fof(f46,plain,
reorganization_free(sK3,sK5,sK5),
inference(cnf_transformation,[],[f30]) ).
fof(f98,plain,
! [X2,X3,X0,X1,X4] :
( ~ greater(sK7,X0)
| greater(X1,X2)
| ~ inertia(X3,X0,X4)
| ~ reproducibility(sK3,X1,sK5)
| ~ reproducibility(X3,X2,X4)
| ~ reorganization_free(sK3,sK5,sK5)
| ~ reorganization_free(X3,X4,X4)
| ~ organization(sK3,sK5)
| ~ organization(X3,X4) ),
inference(resolution,[],[f54,f48]) ).
fof(f48,plain,
inertia(sK3,sK7,sK5),
inference(cnf_transformation,[],[f30]) ).
fof(f54,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ inertia(X1,X7,X3)
| ~ greater(X7,X6)
| greater(X5,X4)
| ~ inertia(X0,X6,X2)
| ~ reproducibility(X1,X5,X3)
| ~ reproducibility(X0,X4,X2)
| ~ reorganization_free(X1,X3,X3)
| ~ reorganization_free(X0,X2,X2)
| ~ organization(X1,X3)
| ~ organization(X0,X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( greater(X5,X4)
| ~ greater(X7,X6) )
& ( greater(X7,X6)
| ~ greater(X5,X4) ) )
| ~ inertia(X1,X7,X3)
| ~ inertia(X0,X6,X2)
| ~ reproducibility(X1,X5,X3)
| ~ reproducibility(X0,X4,X2)
| ~ reorganization_free(X1,X3,X3)
| ~ reorganization_free(X0,X2,X2)
| ~ organization(X1,X3)
| ~ organization(X0,X2) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( greater(X5,X4)
<=> greater(X7,X6) )
| ~ inertia(X1,X7,X3)
| ~ inertia(X0,X6,X2)
| ~ reproducibility(X1,X5,X3)
| ~ reproducibility(X0,X4,X2)
| ~ reorganization_free(X1,X3,X3)
| ~ reorganization_free(X0,X2,X2)
| ~ organization(X1,X3)
| ~ organization(X0,X2) ),
inference(flattening,[],[f17]) ).
fof(f17,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( greater(X5,X4)
<=> greater(X7,X6) )
| ~ inertia(X1,X7,X3)
| ~ inertia(X0,X6,X2)
| ~ reproducibility(X1,X5,X3)
| ~ reproducibility(X0,X4,X2)
| ~ reorganization_free(X1,X3,X3)
| ~ reorganization_free(X0,X2,X2)
| ~ organization(X1,X3)
| ~ organization(X0,X2) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( inertia(X1,X7,X3)
& inertia(X0,X6,X2)
& reproducibility(X1,X5,X3)
& reproducibility(X0,X4,X2)
& reorganization_free(X1,X3,X3)
& reorganization_free(X0,X2,X2)
& organization(X1,X3)
& organization(X0,X2) )
=> ( greater(X5,X4)
<=> greater(X7,X6) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0,X5,X12,X13,X14,X15,X16,X17] :
( ( inertia(X5,X17,X13)
& inertia(X0,X16,X12)
& reproducibility(X5,X15,X13)
& reproducibility(X0,X14,X12)
& reorganization_free(X5,X13,X13)
& reorganization_free(X0,X12,X12)
& organization(X5,X13)
& organization(X0,X12) )
=> ( greater(X15,X14)
<=> greater(X17,X16) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3_FOL) ).
fof(f192,plain,
( ~ greater(sK10(sK3,sK5),sK10(sK2,sK4))
| sP0(sK11(sK2,sK4),sK11(sK3,sK5),sK12(sK2,sK4),sK12(sK3,sK5)) ),
inference(resolution,[],[f190,f55]) ).
fof(f55,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5)
| ~ greater(X5,X4)
| sP0(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( greater(X5,X4)
| ~ sP0(X3,X2,X1,X0) )
& ( sP0(X3,X2,X1,X0)
| ~ greater(X5,X4) ) )
| ~ sP1(X0,X1,X2,X3,X4,X5) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X5,X4,X7,X6,X8,X9] :
( ( ( greater(X9,X8)
| ~ sP0(X6,X7,X4,X5) )
& ( sP0(X6,X7,X4,X5)
| ~ greater(X9,X8) ) )
| ~ sP1(X5,X4,X7,X6,X8,X9) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X5,X4,X7,X6,X8,X9] :
( ( greater(X9,X8)
<=> sP0(X6,X7,X4,X5) )
| ~ sP1(X5,X4,X7,X6,X8,X9) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f190,plain,
sP1(sK12(sK3,sK5),sK12(sK2,sK4),sK11(sK3,sK5),sK11(sK2,sK4),sK10(sK2,sK4),sK10(sK3,sK5)),
inference(resolution,[],[f189,f69]) ).
fof(f69,plain,
reliability(sK2,sK12(sK2,sK4),sK4),
inference(resolution,[],[f64,f43]) ).
fof(f64,plain,
! [X0,X1] :
( ~ organization(X0,X1)
| reliability(X0,sK12(X0,X1),X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( reliability(X0,sK12(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f25,f41]) ).
fof(f41,plain,
! [X0,X1] :
( ? [X2] : reliability(X0,X2,X1)
=> reliability(X0,sK12(X0,X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X0,X1] :
( ? [X2] : reliability(X0,X2,X1)
| ~ organization(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( organization(X0,X1)
=> ? [X2] : reliability(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp1) ).
fof(f189,plain,
! [X0] :
( ~ reliability(sK2,X0,sK4)
| sP1(sK12(sK3,sK5),X0,sK11(sK3,sK5),sK11(sK2,sK4),sK10(sK2,sK4),sK10(sK3,sK5)) ),
inference(resolution,[],[f188,f70]) ).
fof(f70,plain,
reliability(sK3,sK12(sK3,sK5),sK5),
inference(resolution,[],[f64,f44]) ).
fof(f188,plain,
! [X0,X1] :
( ~ reliability(sK3,X0,sK5)
| sP1(X0,X1,sK11(sK3,sK5),sK11(sK2,sK4),sK10(sK2,sK4),sK10(sK3,sK5))
| ~ reliability(sK2,X1,sK4) ),
inference(resolution,[],[f187,f67]) ).
fof(f67,plain,
accountability(sK2,sK11(sK2,sK4),sK4),
inference(resolution,[],[f63,f43]) ).
fof(f63,plain,
! [X0,X1] :
( ~ organization(X0,X1)
| accountability(X0,sK11(X0,X1),X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( accountability(X0,sK11(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f24,f39]) ).
fof(f39,plain,
! [X0,X1] :
( ? [X2] : accountability(X0,X2,X1)
=> accountability(X0,sK11(X0,X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0,X1] :
( ? [X2] : accountability(X0,X2,X1)
| ~ organization(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( organization(X0,X1)
=> ? [X2] : accountability(X0,X2,X1) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( organization(X0,X1)
=> ? [X3] : accountability(X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp2) ).
fof(f187,plain,
! [X2,X0,X1] :
( ~ accountability(sK2,X2,sK4)
| sP1(X0,X1,sK11(sK3,sK5),X2,sK10(sK2,sK4),sK10(sK3,sK5))
| ~ reliability(sK3,X0,sK5)
| ~ reliability(sK2,X1,sK4) ),
inference(resolution,[],[f185,f68]) ).
fof(f68,plain,
accountability(sK3,sK11(sK3,sK5),sK5),
inference(resolution,[],[f63,f44]) ).
fof(f185,plain,
! [X2,X3,X0,X1] :
( ~ accountability(sK3,X2,sK5)
| sP1(X0,X1,X2,X3,sK10(sK2,sK4),sK10(sK3,sK5))
| ~ accountability(sK2,X3,sK4)
| ~ reliability(sK3,X0,sK5)
| ~ reliability(sK2,X1,sK4) ),
inference(subsumption_resolution,[],[f183,f43]) ).
fof(f183,plain,
! [X2,X3,X0,X1] :
( sP1(X0,X1,X2,X3,sK10(sK2,sK4),sK10(sK3,sK5))
| ~ accountability(sK3,X2,sK5)
| ~ accountability(sK2,X3,sK4)
| ~ reliability(sK3,X0,sK5)
| ~ reliability(sK2,X1,sK4)
| ~ organization(sK2,sK4) ),
inference(resolution,[],[f114,f65]) ).
fof(f114,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ reproducibility(X5,X4,X6)
| sP1(X0,X1,X2,X3,X4,sK10(sK3,sK5))
| ~ accountability(sK3,X2,sK5)
| ~ accountability(X5,X3,X6)
| ~ reliability(sK3,X0,sK5)
| ~ reliability(X5,X1,X6)
| ~ organization(X5,X6) ),
inference(subsumption_resolution,[],[f112,f44]) ).
fof(f112,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( sP1(X0,X1,X2,X3,X4,sK10(sK3,sK5))
| ~ reproducibility(X5,X4,X6)
| ~ accountability(sK3,X2,sK5)
| ~ accountability(X5,X3,X6)
| ~ reliability(sK3,X0,sK5)
| ~ reliability(X5,X1,X6)
| ~ organization(sK3,sK5)
| ~ organization(X5,X6) ),
inference(resolution,[],[f60,f66]) ).
fof(f60,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ reproducibility(X1,X9,X3)
| sP1(X5,X4,X7,X6,X8,X9)
| ~ reproducibility(X0,X8,X2)
| ~ accountability(X1,X7,X3)
| ~ accountability(X0,X6,X2)
| ~ reliability(X1,X5,X3)
| ~ reliability(X0,X4,X2)
| ~ organization(X1,X3)
| ~ organization(X0,X2) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( sP1(X5,X4,X7,X6,X8,X9)
| ~ reproducibility(X1,X9,X3)
| ~ reproducibility(X0,X8,X2)
| ~ accountability(X1,X7,X3)
| ~ accountability(X0,X6,X2)
| ~ reliability(X1,X5,X3)
| ~ reliability(X0,X4,X2)
| ~ organization(X1,X3)
| ~ organization(X0,X2) ),
inference(definition_folding,[],[f20,f27,f26]) ).
fof(f20,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( greater(X9,X8)
<=> ( greater(X7,X6)
& greater(X5,X4) ) )
| ~ reproducibility(X1,X9,X3)
| ~ reproducibility(X0,X8,X2)
| ~ accountability(X1,X7,X3)
| ~ accountability(X0,X6,X2)
| ~ reliability(X1,X5,X3)
| ~ reliability(X0,X4,X2)
| ~ organization(X1,X3)
| ~ organization(X0,X2) ),
inference(flattening,[],[f19]) ).
fof(f19,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( greater(X9,X8)
<=> ( greater(X7,X6)
& greater(X5,X4) ) )
| ~ reproducibility(X1,X9,X3)
| ~ reproducibility(X0,X8,X2)
| ~ accountability(X1,X7,X3)
| ~ accountability(X0,X6,X2)
| ~ reliability(X1,X5,X3)
| ~ reliability(X0,X4,X2)
| ~ organization(X1,X3)
| ~ organization(X0,X2) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( reproducibility(X1,X9,X3)
& reproducibility(X0,X8,X2)
& accountability(X1,X7,X3)
& accountability(X0,X6,X2)
& reliability(X1,X5,X3)
& reliability(X0,X4,X2)
& organization(X1,X3)
& organization(X0,X2) )
=> ( greater(X9,X8)
<=> ( greater(X7,X6)
& greater(X5,X4) ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0,X5,X12,X13,X6,X7,X8,X9,X14,X15] :
( ( reproducibility(X5,X15,X13)
& reproducibility(X0,X14,X12)
& accountability(X5,X9,X13)
& accountability(X0,X8,X12)
& reliability(X5,X7,X13)
& reliability(X0,X6,X12)
& organization(X5,X13)
& organization(X0,X12) )
=> ( greater(X15,X14)
<=> ( greater(X9,X8)
& greater(X7,X6) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_FOL) ).
fof(f199,plain,
~ greater(sK11(sK3,sK5),sK11(sK2,sK4)),
inference(resolution,[],[f195,f178]) ).
fof(f178,plain,
( ~ greater(sK12(sK3,sK5),sK12(sK2,sK4))
| ~ greater(sK11(sK3,sK5),sK11(sK2,sK4)) ),
inference(resolution,[],[f177,f69]) ).
fof(f177,plain,
! [X0] :
( ~ reliability(sK2,X0,sK4)
| ~ greater(sK12(sK3,sK5),X0)
| ~ greater(sK11(sK3,sK5),sK11(sK2,sK4)) ),
inference(resolution,[],[f176,f70]) ).
fof(f176,plain,
! [X0,X1] :
( ~ reliability(sK3,X0,sK5)
| ~ greater(sK11(sK3,sK5),sK11(sK2,sK4))
| ~ greater(X0,X1)
| ~ reliability(sK2,X1,sK4) ),
inference(resolution,[],[f175,f67]) ).
fof(f175,plain,
! [X2,X0,X1] :
( ~ accountability(sK2,X0,sK4)
| ~ greater(X1,X2)
| ~ greater(sK11(sK3,sK5),X0)
| ~ reliability(sK3,X1,sK5)
| ~ reliability(sK2,X2,sK4) ),
inference(resolution,[],[f173,f68]) ).
fof(f173,plain,
! [X2,X3,X0,X1] :
( ~ accountability(sK3,X2,sK5)
| ~ greater(X2,X3)
| ~ greater(X0,X1)
| ~ accountability(sK2,X3,sK4)
| ~ reliability(sK3,X0,sK5)
| ~ reliability(sK2,X1,sK4) ),
inference(subsumption_resolution,[],[f172,f43]) ).
fof(f172,plain,
! [X2,X3,X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X2,X3)
| ~ accountability(sK3,X2,sK5)
| ~ accountability(sK2,X3,sK4)
| ~ reliability(sK3,X0,sK5)
| ~ reliability(sK2,X1,sK4)
| ~ organization(sK2,sK4) ),
inference(subsumption_resolution,[],[f170,f52]) ).
fof(f52,plain,
~ greater(sK9,sK8),
inference(cnf_transformation,[],[f30]) ).
fof(f170,plain,
! [X2,X3,X0,X1] :
( ~ greater(X0,X1)
| greater(sK9,sK8)
| ~ greater(X2,X3)
| ~ accountability(sK3,X2,sK5)
| ~ accountability(sK2,X3,sK4)
| ~ reliability(sK3,X0,sK5)
| ~ reliability(sK2,X1,sK4)
| ~ organization(sK2,sK4) ),
inference(resolution,[],[f151,f49]) ).
fof(f49,plain,
survival_chance(sK2,sK8,sK4),
inference(cnf_transformation,[],[f30]) ).
fof(f151,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ survival_chance(X5,X4,X6)
| ~ greater(X2,X3)
| greater(sK9,X4)
| ~ greater(X0,X1)
| ~ accountability(sK3,X0,sK5)
| ~ accountability(X5,X1,X6)
| ~ reliability(sK3,X2,sK5)
| ~ reliability(X5,X3,X6)
| ~ organization(X5,X6) ),
inference(subsumption_resolution,[],[f149,f44]) ).
fof(f149,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ greater(X0,X1)
| ~ greater(X2,X3)
| greater(sK9,X4)
| ~ survival_chance(X5,X4,X6)
| ~ accountability(sK3,X0,sK5)
| ~ accountability(X5,X1,X6)
| ~ reliability(sK3,X2,sK5)
| ~ reliability(X5,X3,X6)
| ~ organization(sK3,sK5)
| ~ organization(X5,X6) ),
inference(resolution,[],[f61,f50]) ).
fof(f50,plain,
survival_chance(sK3,sK9,sK5),
inference(cnf_transformation,[],[f30]) ).
fof(f61,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ survival_chance(X1,X7,X9)
| ~ greater(X5,X4)
| ~ greater(X3,X2)
| greater(X7,X6)
| ~ survival_chance(X0,X6,X8)
| ~ accountability(X1,X5,X9)
| ~ accountability(X0,X4,X8)
| ~ reliability(X1,X3,X9)
| ~ reliability(X0,X2,X8)
| ~ organization(X1,X9)
| ~ organization(X0,X8) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( greater(X7,X6)
| ~ greater(X5,X4)
| ~ greater(X3,X2)
| ~ survival_chance(X1,X7,X9)
| ~ survival_chance(X0,X6,X8)
| ~ accountability(X1,X5,X9)
| ~ accountability(X0,X4,X8)
| ~ reliability(X1,X3,X9)
| ~ reliability(X0,X2,X8)
| ~ organization(X1,X9)
| ~ organization(X0,X8) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( greater(X7,X6)
| ~ greater(X5,X4)
| ~ greater(X3,X2)
| ~ survival_chance(X1,X7,X9)
| ~ survival_chance(X0,X6,X8)
| ~ accountability(X1,X5,X9)
| ~ accountability(X0,X4,X8)
| ~ reliability(X1,X3,X9)
| ~ reliability(X0,X2,X8)
| ~ organization(X1,X9)
| ~ organization(X0,X8) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( greater(X5,X4)
& greater(X3,X2)
& survival_chance(X1,X7,X9)
& survival_chance(X0,X6,X8)
& accountability(X1,X5,X9)
& accountability(X0,X4,X8)
& reliability(X1,X3,X9)
& reliability(X0,X2,X8)
& organization(X1,X9)
& organization(X0,X8) )
=> greater(X7,X6) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X0,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
( ( greater(X9,X8)
& greater(X7,X6)
& survival_chance(X5,X11,X13)
& survival_chance(X0,X10,X12)
& accountability(X5,X9,X13)
& accountability(X0,X8,X12)
& reliability(X5,X7,X13)
& reliability(X0,X6,X12)
& organization(X5,X13)
& organization(X0,X12) )
=> greater(X11,X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_FOL) ).
fof(f195,plain,
greater(sK12(sK3,sK5),sK12(sK2,sK4)),
inference(resolution,[],[f193,f57]) ).
fof(f57,plain,
! [X2,X3,X0,X1] :
( ~ sP0(X0,X1,X2,X3)
| greater(X3,X2) ),
inference(cnf_transformation,[],[f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : MGT001+1 : TPTP v8.1.2. Released v2.0.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Apr 30 03:25:50 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % (20664)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.34 % (20669)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.35 % (20669)First to succeed.
% 0.13/0.35 % (20669)Refutation found. Thanks to Tanya!
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.35 % (20669)------------------------------
% 0.13/0.35 % (20669)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.35 % (20669)Termination reason: Refutation
% 0.13/0.35
% 0.13/0.35 % (20669)Memory used [KB]: 863
% 0.13/0.35 % (20669)Time elapsed: 0.006 s
% 0.13/0.35 % (20669)Instructions burned: 16 (million)
% 0.13/0.35 % (20669)------------------------------
% 0.13/0.35 % (20669)------------------------------
% 0.13/0.35 % (20664)Success in time 0.015 s
%------------------------------------------------------------------------------