TSTP Solution File: MGT017+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : MGT017+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 : n024.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 17:50:54 EDT 2022
% Result : Theorem 0.40s 0.73s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 43 ( 17 unt; 0 def)
% Number of atoms : 284 ( 0 equ)
% Maximal formula atoms : 26 ( 6 avg)
% Number of connectives : 338 ( 97 ~; 88 |; 143 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 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 : 187 ( 147 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f57,plain,
$false,
inference(unit_resulting_resolution,[],[f32,f29,f30,f35,f34,f33,f41,f43,f40,f37,f38,f31,f27,f24]) ).
fof(f24,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ reorganization_type(X4,X5,X1)
| ~ greater(X6,X8)
| ~ class(X3,X7,X1)
| ~ reorganization_type(X3,X5,X1)
| ~ inertia(X4,X8,X1)
| ~ reorganization(X3,X1,X2)
| ~ reorganization(X4,X1,X0)
| ~ organization(X3,X2)
| ~ organization(X3,X1)
| greater(X2,X0)
| ~ class(X4,X7,X1)
| ~ organization(X4,X1)
| ~ inertia(X3,X6,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ reorganization(X4,X1,X0)
| ~ organization(X3,X1)
| ~ reorganization_type(X4,X5,X1)
| ~ class(X3,X7,X1)
| greater(X2,X0)
| ~ reorganization(X3,X1,X2)
| ~ organization(X4,X1)
| ~ reorganization_type(X3,X5,X1)
| ~ organization(X3,X2)
| ~ inertia(X4,X8,X1)
| ~ inertia(X3,X6,X1)
| ~ class(X4,X7,X1)
| ~ greater(X6,X8) ),
inference(rectify,[],[f11]) ).
fof(f11,plain,
! [X7,X6,X5,X2,X1,X4,X8,X0,X3] :
( ~ reorganization(X1,X6,X7)
| ~ organization(X2,X6)
| ~ reorganization_type(X1,X4,X6)
| ~ class(X2,X0,X6)
| greater(X5,X7)
| ~ reorganization(X2,X6,X5)
| ~ organization(X1,X6)
| ~ reorganization_type(X2,X4,X6)
| ~ organization(X2,X5)
| ~ inertia(X1,X3,X6)
| ~ inertia(X2,X8,X6)
| ~ class(X1,X0,X6)
| ~ greater(X8,X3) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
! [X0,X4,X7,X3,X2,X8,X5,X6,X1] :
( greater(X5,X7)
| ~ reorganization(X2,X6,X5)
| ~ reorganization_type(X2,X4,X6)
| ~ greater(X8,X3)
| ~ class(X2,X0,X6)
| ~ class(X1,X0,X6)
| ~ inertia(X1,X3,X6)
| ~ organization(X1,X6)
| ~ organization(X2,X6)
| ~ inertia(X2,X8,X6)
| ~ reorganization_type(X1,X4,X6)
| ~ reorganization(X1,X6,X7)
| ~ organization(X2,X5) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
! [X0,X4,X7,X3,X2,X8,X5,X6,X1] :
( ( reorganization(X2,X6,X5)
& reorganization_type(X2,X4,X6)
& greater(X8,X3)
& class(X2,X0,X6)
& class(X1,X0,X6)
& inertia(X1,X3,X6)
& organization(X1,X6)
& organization(X2,X6)
& inertia(X2,X8,X6)
& reorganization_type(X1,X4,X6)
& reorganization(X1,X6,X7)
& organization(X2,X5) )
=> greater(X5,X7) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X4,X0,X3,X7,X11,X14,X12,X13,X8] :
( ( organization(X3,X14)
& inertia(X3,X8,X12)
& organization(X3,X12)
& reorganization_type(X0,X11,X12)
& class(X3,X4,X12)
& class(X0,X4,X12)
& inertia(X0,X7,X12)
& reorganization_type(X3,X11,X12)
& organization(X0,X12)
& greater(X8,X7)
& reorganization(X3,X12,X14)
& reorganization(X0,X12,X13) )
=> greater(X14,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a13_FOL) ).
fof(f27,plain,
reorganization_type(sK2,sK7,sK9),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
( size(sK2,sK3,sK9)
& class(sK1,sK4,sK9)
& class(sK2,sK4,sK9)
& size(sK1,sK5,sK9)
& organization(sK1,sK8)
& reorganization(sK1,sK9,sK8)
& organization(sK1,sK9)
& ~ greater(sK8,sK6)
& reorganization_type(sK1,sK7,sK9)
& organization(sK2,sK9)
& reorganization(sK2,sK9,sK6)
& greater(sK5,sK3)
& reorganization_type(sK2,sK7,sK9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9])],[f21,f22]) ).
fof(f22,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( size(X1,X2,X8)
& class(X0,X3,X8)
& class(X1,X3,X8)
& size(X0,X4,X8)
& organization(X0,X7)
& reorganization(X0,X8,X7)
& organization(X0,X8)
& ~ greater(X7,X5)
& reorganization_type(X0,X6,X8)
& organization(X1,X8)
& reorganization(X1,X8,X5)
& greater(X4,X2)
& reorganization_type(X1,X6,X8) )
=> ( size(sK2,sK3,sK9)
& class(sK1,sK4,sK9)
& class(sK2,sK4,sK9)
& size(sK1,sK5,sK9)
& organization(sK1,sK8)
& reorganization(sK1,sK9,sK8)
& organization(sK1,sK9)
& ~ greater(sK8,sK6)
& reorganization_type(sK1,sK7,sK9)
& organization(sK2,sK9)
& reorganization(sK2,sK9,sK6)
& greater(sK5,sK3)
& reorganization_type(sK2,sK7,sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( size(X1,X2,X8)
& class(X0,X3,X8)
& class(X1,X3,X8)
& size(X0,X4,X8)
& organization(X0,X7)
& reorganization(X0,X8,X7)
& organization(X0,X8)
& ~ greater(X7,X5)
& reorganization_type(X0,X6,X8)
& organization(X1,X8)
& reorganization(X1,X8,X5)
& greater(X4,X2)
& reorganization_type(X1,X6,X8) ),
inference(rectify,[],[f13]) ).
fof(f13,plain,
? [X3,X8,X2,X1,X0,X5,X6,X7,X4] :
( size(X8,X2,X4)
& class(X3,X1,X4)
& class(X8,X1,X4)
& size(X3,X0,X4)
& organization(X3,X7)
& reorganization(X3,X4,X7)
& organization(X3,X4)
& ~ greater(X7,X5)
& reorganization_type(X3,X6,X4)
& organization(X8,X4)
& reorganization(X8,X4,X5)
& greater(X0,X2)
& reorganization_type(X8,X6,X4) ),
inference(flattening,[],[f12]) ).
fof(f12,plain,
? [X3,X6,X4,X0,X5,X2,X1,X8,X7] :
( ~ greater(X7,X5)
& reorganization_type(X8,X6,X4)
& class(X8,X1,X4)
& class(X3,X1,X4)
& reorganization(X8,X4,X5)
& greater(X0,X2)
& reorganization_type(X3,X6,X4)
& organization(X3,X7)
& reorganization(X3,X4,X7)
& size(X3,X0,X4)
& organization(X8,X4)
& organization(X3,X4)
& size(X8,X2,X4) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
~ ! [X3,X6,X4,X0,X5,X2,X1,X8,X7] :
( ( reorganization_type(X8,X6,X4)
& class(X8,X1,X4)
& class(X3,X1,X4)
& reorganization(X8,X4,X5)
& greater(X0,X2)
& reorganization_type(X3,X6,X4)
& organization(X3,X7)
& reorganization(X3,X4,X7)
& size(X3,X0,X4)
& organization(X8,X4)
& organization(X3,X4)
& size(X8,X2,X4) )
=> greater(X7,X5) ),
inference(rectify,[],[f5]) ).
fof(f5,negated_conjecture,
~ ! [X6,X4,X5,X3,X12,X13,X11,X14,X0] :
( ( reorganization_type(X0,X11,X12)
& size(X3,X6,X12)
& reorganization_type(X3,X11,X12)
& organization(X3,X12)
& greater(X6,X5)
& size(X0,X5,X12)
& reorganization(X3,X12,X14)
& class(X0,X4,X12)
& organization(X0,X12)
& class(X3,X4,X12)
& organization(X3,X14)
& reorganization(X0,X12,X13) )
=> greater(X14,X13) ),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
! [X6,X4,X5,X3,X12,X13,X11,X14,X0] :
( ( reorganization_type(X0,X11,X12)
& size(X3,X6,X12)
& reorganization_type(X3,X11,X12)
& organization(X3,X12)
& greater(X6,X5)
& size(X0,X5,X12)
& reorganization(X3,X12,X14)
& class(X0,X4,X12)
& organization(X0,X12)
& class(X3,X4,X12)
& organization(X3,X14)
& reorganization(X0,X12,X13) )
=> greater(X14,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_FOL) ).
fof(f31,plain,
reorganization_type(sK1,sK7,sK9),
inference(cnf_transformation,[],[f23]) ).
fof(f38,plain,
class(sK1,sK4,sK9),
inference(cnf_transformation,[],[f23]) ).
fof(f37,plain,
class(sK2,sK4,sK9),
inference(cnf_transformation,[],[f23]) ).
fof(f40,plain,
inertia(sK2,sK0(sK9,sK2),sK9),
inference(unit_resulting_resolution,[],[f30,f26]) ).
fof(f26,plain,
! [X0,X1] :
( inertia(X1,sK0(X0,X1),X0)
| ~ organization(X1,X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( inertia(X1,sK0(X0,X1),X0)
| ~ organization(X1,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f18,f19]) ).
fof(f19,plain,
! [X0,X1] :
( ? [X2] : inertia(X1,X2,X0)
=> inertia(X1,sK0(X0,X1),X0) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X0,X1] :
( ? [X2] : inertia(X1,X2,X0)
| ~ organization(X1,X0) ),
inference(rectify,[],[f9]) ).
fof(f9,plain,
! [X1,X0] :
( ? [X2] : inertia(X0,X2,X1)
| ~ organization(X0,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(f43,plain,
greater(sK0(sK9,sK1),sK0(sK9,sK2)),
inference(unit_resulting_resolution,[],[f28,f39,f30,f40,f37,f33,f41,f38,f36,f25]) ).
fof(f25,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ size(X5,X1,X3)
| ~ greater(X1,X6)
| ~ organization(X4,X0)
| ~ class(X5,X2,X3)
| greater(X8,X7)
| ~ class(X4,X2,X0)
| ~ inertia(X4,X7,X0)
| ~ inertia(X5,X8,X3)
| ~ size(X4,X6,X0)
| ~ organization(X5,X3) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ class(X5,X2,X3)
| ~ inertia(X4,X7,X0)
| ~ size(X4,X6,X0)
| ~ class(X4,X2,X0)
| ~ greater(X1,X6)
| ~ organization(X4,X0)
| ~ size(X5,X1,X3)
| ~ inertia(X5,X8,X3)
| greater(X8,X7)
| ~ organization(X5,X3) ),
inference(rectify,[],[f15]) ).
fof(f15,plain,
! [X6,X8,X7,X4,X5,X1,X0,X2,X3] :
( ~ class(X1,X7,X4)
| ~ inertia(X5,X2,X6)
| ~ size(X5,X0,X6)
| ~ class(X5,X7,X6)
| ~ greater(X8,X0)
| ~ organization(X5,X6)
| ~ size(X1,X8,X4)
| ~ inertia(X1,X3,X4)
| greater(X3,X2)
| ~ organization(X1,X4) ),
inference(flattening,[],[f14]) ).
fof(f14,plain,
! [X1,X8,X3,X5,X7,X2,X0,X6,X4] :
( greater(X3,X2)
| ~ size(X5,X0,X6)
| ~ inertia(X5,X2,X6)
| ~ greater(X8,X0)
| ~ size(X1,X8,X4)
| ~ inertia(X1,X3,X4)
| ~ organization(X5,X6)
| ~ class(X1,X7,X4)
| ~ class(X5,X7,X6)
| ~ organization(X1,X4) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
! [X1,X8,X3,X5,X7,X2,X0,X6,X4] :
( ( size(X5,X0,X6)
& inertia(X5,X2,X6)
& greater(X8,X0)
& size(X1,X8,X4)
& inertia(X1,X3,X4)
& organization(X5,X6)
& class(X1,X7,X4)
& class(X5,X7,X6)
& organization(X1,X4) )
=> greater(X3,X2) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X5,X3,X7,X8,X10,X0,X9,X4,X6] :
( ( organization(X0,X9)
& class(X3,X4,X10)
& class(X0,X4,X9)
& size(X3,X6,X10)
& size(X0,X5,X9)
& inertia(X3,X8,X10)
& greater(X6,X5)
& inertia(X0,X7,X9)
& organization(X3,X10) )
=> greater(X8,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5_FOL) ).
fof(f36,plain,
size(sK1,sK5,sK9),
inference(cnf_transformation,[],[f23]) ).
fof(f39,plain,
size(sK2,sK3,sK9),
inference(cnf_transformation,[],[f23]) ).
fof(f28,plain,
greater(sK5,sK3),
inference(cnf_transformation,[],[f23]) ).
fof(f41,plain,
inertia(sK1,sK0(sK9,sK1),sK9),
inference(unit_resulting_resolution,[],[f33,f26]) ).
fof(f33,plain,
organization(sK1,sK9),
inference(cnf_transformation,[],[f23]) ).
fof(f34,plain,
reorganization(sK1,sK9,sK8),
inference(cnf_transformation,[],[f23]) ).
fof(f35,plain,
organization(sK1,sK8),
inference(cnf_transformation,[],[f23]) ).
fof(f30,plain,
organization(sK2,sK9),
inference(cnf_transformation,[],[f23]) ).
fof(f29,plain,
reorganization(sK2,sK9,sK6),
inference(cnf_transformation,[],[f23]) ).
fof(f32,plain,
~ greater(sK8,sK6),
inference(cnf_transformation,[],[f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : MGT017+1 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 03:16:04 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 ipcrm: permission denied for id (661389312)
% 0.21/0.37 ipcrm: permission denied for id (661422086)
% 0.21/0.37 ipcrm: permission denied for id (661454855)
% 0.21/0.37 ipcrm: permission denied for id (661520393)
% 0.21/0.39 ipcrm: permission denied for id (661618712)
% 0.21/0.40 ipcrm: permission denied for id (661651483)
% 0.21/0.40 ipcrm: permission denied for id (661684252)
% 0.21/0.40 ipcrm: permission denied for id (661717022)
% 0.21/0.40 ipcrm: permission denied for id (661749792)
% 0.21/0.41 ipcrm: permission denied for id (661848103)
% 0.21/0.41 ipcrm: permission denied for id (661880873)
% 0.21/0.41 ipcrm: permission denied for id (661913643)
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% 0.21/0.43 ipcrm: permission denied for id (662110260)
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% 0.21/0.46 ipcrm: permission denied for id (662667339)
% 0.21/0.46 ipcrm: permission denied for id (662732877)
% 0.21/0.46 ipcrm: permission denied for id (662765648)
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% 0.21/0.48 ipcrm: permission denied for id (662929496)
% 0.21/0.48 ipcrm: permission denied for id (662995036)
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% 0.21/0.50 ipcrm: permission denied for id (663158886)
% 0.21/0.50 ipcrm: permission denied for id (663191655)
% 0.21/0.51 ipcrm: permission denied for id (663322731)
% 0.21/0.51 ipcrm: permission denied for id (663388269)
% 0.21/0.51 ipcrm: permission denied for id (663453809)
% 0.21/0.52 ipcrm: permission denied for id (663584888)
% 0.21/0.53 ipcrm: permission denied for id (663650426)
% 0.40/0.72 % (25538)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 (2998ds/39Mi)
% 0.40/0.72 % (25560)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/24Mi)
% 0.40/0.72 % (25547)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 (2998ds/50Mi)
% 0.40/0.72 % (25545)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 (2998ds/3Mi)
% 0.40/0.72 % (25544)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 (2998ds/51Mi)
% 0.40/0.72 % (25539)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/49Mi)
% 0.40/0.72 % (25545)Instruction limit reached!
% 0.40/0.72 % (25545)------------------------------
% 0.40/0.72 % (25545)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.40/0.72 % (25545)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.40/0.72 % (25545)Termination reason: Unknown
% 0.40/0.72 % (25545)Termination phase: Saturation
% 0.40/0.72
% 0.40/0.72 % (25545)Memory used [KB]: 6012
% 0.40/0.72 % (25545)Time elapsed: 0.112 s
% 0.40/0.72 % (25545)Instructions burned: 3 (million)
% 0.40/0.72 % (25545)------------------------------
% 0.40/0.72 % (25545)------------------------------
% 0.40/0.72 % (25544)First to succeed.
% 0.40/0.72 % (25552)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 0.40/0.73 % (25546)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 (2998ds/7Mi)
% 0.40/0.73 % (25544)Refutation found. Thanks to Tanya!
% 0.40/0.73 % SZS status Theorem for theBenchmark
% 0.40/0.73 % SZS output start Proof for theBenchmark
% See solution above
% 0.40/0.73 % (25544)------------------------------
% 0.40/0.73 % (25544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.40/0.73 % (25544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.40/0.73 % (25544)Termination reason: Refutation
% 0.40/0.73
% 0.40/0.73 % (25544)Memory used [KB]: 6012
% 0.40/0.73 % (25544)Time elapsed: 0.128 s
% 0.40/0.73 % (25544)Instructions burned: 4 (million)
% 0.40/0.73 % (25544)------------------------------
% 0.40/0.73 % (25544)------------------------------
% 0.40/0.73 % (25365)Success in time 0.374 s
%------------------------------------------------------------------------------