TSTP Solution File: MGT008+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : MGT008+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 : n005.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 17:50:51 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 6
% Syntax : Number of formulae : 56 ( 15 unt; 0 def)
% Number of atoms : 341 ( 0 equ)
% Maximal formula atoms : 24 ( 6 avg)
% Number of connectives : 448 ( 163 ~; 147 |; 128 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 11 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 233 ( 194 !; 39 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f84,plain,
$false,
inference(subsumption_resolution,[],[f83,f26]) ).
fof(f26,plain,
organization(sK5,sK4),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
( class(sK7,sK8,sK3)
& survival_chance(sK5,sK1,sK4)
& greater(sK2,sK9)
& class(sK5,sK8,sK4)
& reorganization_free(sK7,sK3,sK3)
& organization(sK7,sK3)
& reorganization_free(sK5,sK4,sK4)
& ~ greater(sK6,sK1)
& size(sK7,sK2,sK3)
& organization(sK5,sK4)
& size(sK5,sK9,sK4)
& survival_chance(sK7,sK6,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9])],[f18,f19]) ).
fof(f19,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( class(X6,X7,X2)
& survival_chance(X4,X0,X3)
& greater(X1,X8)
& class(X4,X7,X3)
& reorganization_free(X6,X2,X2)
& organization(X6,X2)
& reorganization_free(X4,X3,X3)
& ~ greater(X5,X0)
& size(X6,X1,X2)
& organization(X4,X3)
& size(X4,X8,X3)
& survival_chance(X6,X5,X2) )
=> ( class(sK7,sK8,sK3)
& survival_chance(sK5,sK1,sK4)
& greater(sK2,sK9)
& class(sK5,sK8,sK4)
& reorganization_free(sK7,sK3,sK3)
& organization(sK7,sK3)
& reorganization_free(sK5,sK4,sK4)
& ~ greater(sK6,sK1)
& size(sK7,sK2,sK3)
& organization(sK5,sK4)
& size(sK5,sK9,sK4)
& survival_chance(sK7,sK6,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( class(X6,X7,X2)
& survival_chance(X4,X0,X3)
& greater(X1,X8)
& class(X4,X7,X3)
& reorganization_free(X6,X2,X2)
& organization(X6,X2)
& reorganization_free(X4,X3,X3)
& ~ greater(X5,X0)
& size(X6,X1,X2)
& organization(X4,X3)
& size(X4,X8,X3)
& survival_chance(X6,X5,X2) ),
inference(rectify,[],[f10]) ).
fof(f10,plain,
? [X1,X3,X6,X8,X0,X2,X7,X5,X4] :
( class(X7,X5,X6)
& survival_chance(X0,X1,X8)
& greater(X3,X4)
& class(X0,X5,X8)
& reorganization_free(X7,X6,X6)
& organization(X7,X6)
& reorganization_free(X0,X8,X8)
& ~ greater(X2,X1)
& size(X7,X3,X6)
& organization(X0,X8)
& size(X0,X4,X8)
& survival_chance(X7,X2,X6) ),
inference(flattening,[],[f9]) ).
fof(f9,plain,
? [X2,X3,X0,X8,X6,X7,X5,X1,X4] :
( ~ greater(X2,X1)
& reorganization_free(X7,X6,X6)
& survival_chance(X0,X1,X8)
& greater(X3,X4)
& class(X7,X5,X6)
& organization(X0,X8)
& survival_chance(X7,X2,X6)
& reorganization_free(X0,X8,X8)
& organization(X7,X6)
& size(X0,X4,X8)
& class(X0,X5,X8)
& size(X7,X3,X6) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
~ ! [X2,X3,X0,X8,X6,X7,X5,X1,X4] :
( ( reorganization_free(X7,X6,X6)
& survival_chance(X0,X1,X8)
& greater(X3,X4)
& class(X7,X5,X6)
& organization(X0,X8)
& survival_chance(X7,X2,X6)
& reorganization_free(X0,X8,X8)
& organization(X7,X6)
& size(X0,X4,X8)
& class(X0,X5,X8)
& size(X7,X3,X6) )
=> greater(X2,X1) ),
inference(rectify,[],[f5]) ).
fof(f5,negated_conjecture,
~ ! [X0,X11,X12,X6,X5,X4,X10,X3,X9] :
( ( organization(X3,X10)
& class(X3,X4,X10)
& size(X3,X6,X10)
& greater(X6,X5)
& survival_chance(X3,X12,X10)
& reorganization_free(X0,X9,X9)
& organization(X0,X9)
& survival_chance(X0,X11,X9)
& class(X0,X4,X9)
& reorganization_free(X3,X10,X10)
& size(X0,X5,X9) )
=> greater(X12,X11) ),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
! [X0,X11,X12,X6,X5,X4,X10,X3,X9] :
( ( organization(X3,X10)
& class(X3,X4,X10)
& size(X3,X6,X10)
& greater(X6,X5)
& survival_chance(X3,X12,X10)
& reorganization_free(X0,X9,X9)
& organization(X0,X9)
& survival_chance(X0,X11,X9)
& class(X0,X4,X9)
& reorganization_free(X3,X10,X10)
& size(X0,X5,X9) )
=> greater(X12,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_FOL) ).
fof(f83,plain,
~ organization(sK5,sK4),
inference(resolution,[],[f81,f23]) ).
fof(f23,plain,
! [X0,X1] :
( inertia(X0,sK0(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( ~ organization(X0,X1)
| inertia(X0,sK0(X0,X1),X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f11,f16]) ).
fof(f16,plain,
! [X0,X1] :
( ? [X2] : inertia(X0,X2,X1)
=> inertia(X0,sK0(X0,X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f11,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(f81,plain,
! [X0] : ~ inertia(sK5,X0,sK4),
inference(subsumption_resolution,[],[f80,f30]) ).
fof(f30,plain,
organization(sK7,sK3),
inference(cnf_transformation,[],[f20]) ).
fof(f80,plain,
! [X0] :
( ~ organization(sK7,sK3)
| ~ inertia(sK5,X0,sK4) ),
inference(resolution,[],[f79,f23]) ).
fof(f79,plain,
! [X0,X1] :
( ~ inertia(sK7,X1,sK3)
| ~ inertia(sK5,X0,sK4) ),
inference(subsumption_resolution,[],[f78,f32]) ).
fof(f32,plain,
class(sK5,sK8,sK4),
inference(cnf_transformation,[],[f20]) ).
fof(f78,plain,
! [X0,X1] :
( ~ inertia(sK5,X0,sK4)
| ~ class(sK5,sK8,sK4)
| ~ inertia(sK7,X1,sK3) ),
inference(resolution,[],[f77,f35]) ).
fof(f35,plain,
class(sK7,sK8,sK3),
inference(cnf_transformation,[],[f20]) ).
fof(f77,plain,
! [X3,X4,X5] :
( ~ class(sK7,X3,sK3)
| ~ inertia(sK5,X5,sK4)
| ~ inertia(sK7,X4,sK3)
| ~ class(sK5,X3,sK4) ),
inference(subsumption_resolution,[],[f69,f63]) ).
fof(f63,plain,
! [X0,X1] :
( ~ inertia(sK7,X0,sK3)
| ~ greater(X0,X1)
| ~ inertia(sK5,X1,sK4) ),
inference(subsumption_resolution,[],[f62,f28]) ).
fof(f28,plain,
~ greater(sK6,sK1),
inference(cnf_transformation,[],[f20]) ).
fof(f62,plain,
! [X0,X1] :
( greater(sK6,sK1)
| ~ inertia(sK7,X0,sK3)
| ~ greater(X0,X1)
| ~ inertia(sK5,X1,sK4) ),
inference(resolution,[],[f54,f24]) ).
fof(f24,plain,
survival_chance(sK7,sK6,sK3),
inference(cnf_transformation,[],[f20]) ).
fof(f54,plain,
! [X3,X4,X5] :
( ~ survival_chance(sK7,X4,sK3)
| greater(X4,sK1)
| ~ inertia(sK7,X3,sK3)
| ~ greater(X3,X5)
| ~ inertia(sK5,X5,sK4) ),
inference(subsumption_resolution,[],[f53,f26]) ).
fof(f53,plain,
! [X3,X4,X5] :
( ~ greater(X3,X5)
| ~ inertia(sK5,X5,sK4)
| greater(X4,sK1)
| ~ organization(sK5,sK4)
| ~ survival_chance(sK7,X4,sK3)
| ~ inertia(sK7,X3,sK3) ),
inference(subsumption_resolution,[],[f52,f29]) ).
fof(f29,plain,
reorganization_free(sK5,sK4,sK4),
inference(cnf_transformation,[],[f20]) ).
fof(f52,plain,
! [X3,X4,X5] :
( ~ survival_chance(sK7,X4,sK3)
| ~ inertia(sK5,X5,sK4)
| ~ inertia(sK7,X3,sK3)
| ~ greater(X3,X5)
| ~ reorganization_free(sK5,sK4,sK4)
| greater(X4,sK1)
| ~ organization(sK5,sK4) ),
inference(resolution,[],[f41,f34]) ).
fof(f34,plain,
survival_chance(sK5,sK1,sK4),
inference(cnf_transformation,[],[f20]) ).
fof(f41,plain,
! [X10,X11,X8,X6,X9,X7] :
( ~ survival_chance(X8,X11,X9)
| ~ inertia(sK7,X6,sK3)
| ~ survival_chance(sK7,X10,sK3)
| ~ greater(X6,X7)
| ~ inertia(X8,X7,X9)
| greater(X10,X11)
| ~ reorganization_free(X8,X9,X9)
| ~ organization(X8,X9) ),
inference(subsumption_resolution,[],[f39,f30]) ).
fof(f39,plain,
! [X10,X11,X8,X6,X9,X7] :
( ~ inertia(X8,X7,X9)
| ~ reorganization_free(X8,X9,X9)
| ~ organization(sK7,sK3)
| ~ survival_chance(sK7,X10,sK3)
| ~ organization(X8,X9)
| ~ survival_chance(X8,X11,X9)
| greater(X10,X11)
| ~ greater(X6,X7)
| ~ inertia(sK7,X6,sK3) ),
inference(resolution,[],[f36,f31]) ).
fof(f31,plain,
reorganization_free(sK7,sK3,sK3),
inference(cnf_transformation,[],[f20]) ).
fof(f36,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ reorganization_free(X3,X2,X2)
| ~ greater(X4,X5)
| ~ inertia(X0,X5,X6)
| ~ organization(X0,X6)
| ~ survival_chance(X3,X1,X2)
| greater(X1,X7)
| ~ survival_chance(X0,X7,X6)
| ~ inertia(X3,X4,X2)
| ~ organization(X3,X2)
| ~ reorganization_free(X0,X6,X6) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ reorganization_free(X0,X6,X6)
| ~ inertia(X0,X5,X6)
| ~ organization(X0,X6)
| ~ organization(X3,X2)
| ~ survival_chance(X0,X7,X6)
| ~ reorganization_free(X3,X2,X2)
| ~ inertia(X3,X4,X2)
| ~ greater(X4,X5)
| ~ survival_chance(X3,X1,X2)
| greater(X1,X7) ),
inference(rectify,[],[f13]) ).
fof(f13,plain,
! [X4,X7,X6,X3,X5,X0,X2,X1] :
( ~ reorganization_free(X4,X2,X2)
| ~ inertia(X4,X0,X2)
| ~ organization(X4,X2)
| ~ organization(X3,X6)
| ~ survival_chance(X4,X1,X2)
| ~ reorganization_free(X3,X6,X6)
| ~ inertia(X3,X5,X6)
| ~ greater(X5,X0)
| ~ survival_chance(X3,X7,X6)
| greater(X7,X1) ),
inference(flattening,[],[f12]) ).
fof(f12,plain,
! [X3,X2,X6,X4,X0,X1,X5,X7] :
( greater(X7,X1)
| ~ reorganization_free(X4,X2,X2)
| ~ survival_chance(X4,X1,X2)
| ~ survival_chance(X3,X7,X6)
| ~ inertia(X4,X0,X2)
| ~ greater(X5,X0)
| ~ reorganization_free(X3,X6,X6)
| ~ organization(X4,X2)
| ~ organization(X3,X6)
| ~ inertia(X3,X5,X6) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
! [X3,X2,X6,X4,X0,X1,X5,X7] :
( ( reorganization_free(X4,X2,X2)
& survival_chance(X4,X1,X2)
& survival_chance(X3,X7,X6)
& inertia(X4,X0,X2)
& greater(X5,X0)
& reorganization_free(X3,X6,X6)
& organization(X4,X2)
& organization(X3,X6)
& inertia(X3,X5,X6) )
=> greater(X7,X1) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X7,X11,X9,X3,X0,X8,X10,X12] :
( ( organization(X0,X9)
& survival_chance(X3,X12,X10)
& reorganization_free(X0,X9,X9)
& reorganization_free(X3,X10,X10)
& survival_chance(X0,X11,X9)
& greater(X8,X7)
& inertia(X3,X8,X10)
& organization(X3,X10)
& inertia(X0,X7,X9) )
=> greater(X12,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_FOL) ).
fof(f69,plain,
! [X3,X4,X5] :
( ~ inertia(sK5,X5,sK4)
| ~ class(sK7,X3,sK3)
| ~ class(sK5,X3,sK4)
| ~ inertia(sK7,X4,sK3)
| greater(X4,X5) ),
inference(subsumption_resolution,[],[f68,f33]) ).
fof(f33,plain,
greater(sK2,sK9),
inference(cnf_transformation,[],[f20]) ).
fof(f68,plain,
! [X3,X4,X5] :
( ~ inertia(sK5,X5,sK4)
| ~ greater(sK2,sK9)
| ~ class(sK5,X3,sK4)
| ~ class(sK7,X3,sK3)
| greater(X4,X5)
| ~ inertia(sK7,X4,sK3) ),
inference(subsumption_resolution,[],[f65,f30]) ).
fof(f65,plain,
! [X3,X4,X5] :
( ~ organization(sK7,sK3)
| ~ greater(sK2,sK9)
| ~ class(sK5,X3,sK4)
| greater(X4,X5)
| ~ inertia(sK7,X4,sK3)
| ~ inertia(sK5,X5,sK4)
| ~ class(sK7,X3,sK3) ),
inference(resolution,[],[f50,f27]) ).
fof(f27,plain,
size(sK7,sK2,sK3),
inference(cnf_transformation,[],[f20]) ).
fof(f50,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ size(X0,X1,X2)
| ~ class(sK5,X3,sK4)
| greater(X4,X5)
| ~ inertia(X0,X4,X2)
| ~ organization(X0,X2)
| ~ greater(X1,sK9)
| ~ inertia(sK5,X5,sK4)
| ~ class(X0,X3,X2) ),
inference(subsumption_resolution,[],[f47,f26]) ).
fof(f47,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ class(X0,X3,X2)
| ~ class(sK5,X3,sK4)
| ~ inertia(sK5,X5,sK4)
| ~ organization(X0,X2)
| ~ inertia(X0,X4,X2)
| ~ size(X0,X1,X2)
| ~ organization(sK5,sK4)
| ~ greater(X1,sK9)
| greater(X4,X5) ),
inference(resolution,[],[f37,f25]) ).
fof(f25,plain,
size(sK5,sK9,sK4),
inference(cnf_transformation,[],[f20]) ).
fof(f37,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ size(X0,X1,X6)
| ~ size(X4,X7,X5)
| ~ class(X0,X2,X6)
| ~ inertia(X4,X8,X5)
| ~ class(X4,X2,X5)
| ~ organization(X4,X5)
| ~ inertia(X0,X3,X6)
| greater(X8,X3)
| ~ greater(X7,X1)
| ~ organization(X0,X6) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( greater(X8,X3)
| ~ organization(X4,X5)
| ~ size(X4,X7,X5)
| ~ greater(X7,X1)
| ~ size(X0,X1,X6)
| ~ class(X4,X2,X5)
| ~ inertia(X0,X3,X6)
| ~ inertia(X4,X8,X5)
| ~ class(X0,X2,X6)
| ~ organization(X0,X6) ),
inference(rectify,[],[f15]) ).
fof(f15,plain,
! [X2,X6,X5,X1,X4,X0,X7,X8,X3] :
( greater(X3,X1)
| ~ organization(X4,X0)
| ~ size(X4,X8,X0)
| ~ greater(X8,X6)
| ~ size(X2,X6,X7)
| ~ class(X4,X5,X0)
| ~ inertia(X2,X1,X7)
| ~ inertia(X4,X3,X0)
| ~ class(X2,X5,X7)
| ~ organization(X2,X7) ),
inference(flattening,[],[f14]) ).
fof(f14,plain,
! [X4,X5,X3,X6,X8,X1,X7,X0,X2] :
( greater(X3,X1)
| ~ organization(X2,X7)
| ~ greater(X8,X6)
| ~ class(X2,X5,X7)
| ~ size(X2,X6,X7)
| ~ inertia(X4,X3,X0)
| ~ class(X4,X5,X0)
| ~ inertia(X2,X1,X7)
| ~ organization(X4,X0)
| ~ size(X4,X8,X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
! [X4,X5,X3,X6,X8,X1,X7,X0,X2] :
( ( organization(X2,X7)
& greater(X8,X6)
& class(X2,X5,X7)
& size(X2,X6,X7)
& inertia(X4,X3,X0)
& class(X4,X5,X0)
& inertia(X2,X1,X7)
& organization(X4,X0)
& size(X4,X8,X0) )
=> greater(X3,X1) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X10,X7,X0,X8,X3,X4,X5,X9,X6] :
( ( greater(X6,X5)
& size(X0,X5,X9)
& organization(X3,X10)
& class(X3,X4,X10)
& organization(X0,X9)
& inertia(X0,X7,X9)
& size(X3,X6,X10)
& inertia(X3,X8,X10)
& class(X0,X4,X9) )
=> greater(X8,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5_FOL) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT008+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 03:11:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.50 % (7233)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.50 % (7233)First to succeed.
% 0.19/0.50 % (7228)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.50 % (7240)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.50 % (7241)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)
% 0.19/0.51 % (7233)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (7233)------------------------------
% 0.19/0.51 % (7233)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (7233)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (7233)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (7233)Memory used [KB]: 1535
% 0.19/0.51 % (7233)Time elapsed: 0.106 s
% 0.19/0.51 % (7233)Instructions burned: 4 (million)
% 0.19/0.51 % (7233)------------------------------
% 0.19/0.51 % (7233)------------------------------
% 0.19/0.51 % (7227)Success in time 0.165 s
%------------------------------------------------------------------------------