TSTP Solution File: MGT044+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : MGT044+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : 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 : Wed Aug 31 17:51:08 EDT 2022
% Result : Theorem 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 40 ( 9 unt; 0 def)
% Number of atoms : 134 ( 24 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 147 ( 53 ~; 42 |; 34 &)
% ( 1 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 81 ( 69 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f134,plain,
$false,
inference(resolution,[],[f112,f54]) ).
fof(f54,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| ( X0 != X1
& ~ smaller(X0,X1) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X1,X0] :
( ( smaller(X0,X1)
| X0 = X1 )
=> smaller_or_equal(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( smaller_or_equal(X0,X1)
<=> ( smaller(X0,X1)
| X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal) ).
fof(f112,plain,
! [X0] : ~ smaller_or_equal(internal_friction(sK2,X0),internal_friction(sK2,sK1)),
inference(superposition,[],[f98,f58]) ).
fof(f58,plain,
! [X0,X1] : internal_friction(sK2,X0) = internal_friction(sK2,X1),
inference(resolution,[],[f42,f39]) ).
fof(f39,plain,
organization(sK2),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( ~ greater(capability(sK2,sK0),capability(sK2,sK1))
& greater(age(sK2,sK0),age(sK2,sK1))
& organization(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f31,f32]) ).
fof(f32,plain,
( ? [X0,X1,X2] :
( ~ greater(capability(X2,X0),capability(X2,X1))
& greater(age(X2,X0),age(X2,X1))
& organization(X2) )
=> ( ~ greater(capability(sK2,sK0),capability(sK2,sK1))
& greater(age(sK2,sK0),age(sK2,sK1))
& organization(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
? [X0,X1,X2] :
( ~ greater(capability(X2,X0),capability(X2,X1))
& greater(age(X2,X0),age(X2,X1))
& organization(X2) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
? [X1,X0,X2] :
( ~ greater(capability(X2,X1),capability(X2,X0))
& greater(age(X2,X1),age(X2,X0))
& organization(X2) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
? [X0,X2,X1] :
( ~ greater(capability(X2,X1),capability(X2,X0))
& greater(age(X2,X1),age(X2,X0))
& organization(X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
~ ! [X0,X2,X1] :
( ( greater(age(X2,X1),age(X2,X0))
& organization(X2) )
=> greater(capability(X2,X1),capability(X2,X0)) ),
inference(rectify,[],[f11]) ).
fof(f11,negated_conjecture,
~ ! [X3,X4,X0] :
( ( greater(age(X0,X4),age(X0,X3))
& organization(X0) )
=> greater(capability(X0,X4),capability(X0,X3)) ),
inference(negated_conjecture,[],[f10]) ).
fof(f10,conjecture,
! [X3,X4,X0] :
( ( greater(age(X0,X4),age(X0,X3))
& organization(X0) )
=> greater(capability(X0,X4),capability(X0,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_3) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ organization(X2)
| internal_friction(X2,X0) = internal_friction(X2,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ~ organization(X2)
| internal_friction(X2,X0) = internal_friction(X2,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X2,X1] :
( organization(X2)
=> internal_friction(X2,X0) = internal_friction(X2,X1) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X3,X4,X0] :
( organization(X0)
=> internal_friction(X0,X4) = internal_friction(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_9) ).
fof(f98,plain,
~ smaller_or_equal(internal_friction(sK2,sK0),internal_friction(sK2,sK1)),
inference(subsumption_resolution,[],[f97,f39]) ).
fof(f97,plain,
( ~ organization(sK2)
| ~ smaller_or_equal(internal_friction(sK2,sK0),internal_friction(sK2,sK1)) ),
inference(subsumption_resolution,[],[f95,f41]) ).
fof(f41,plain,
~ greater(capability(sK2,sK0),capability(sK2,sK1)),
inference(cnf_transformation,[],[f33]) ).
fof(f95,plain,
( greater(capability(sK2,sK0),capability(sK2,sK1))
| ~ organization(sK2)
| ~ smaller_or_equal(internal_friction(sK2,sK0),internal_friction(sK2,sK1)) ),
inference(resolution,[],[f47,f82]) ).
fof(f82,plain,
greater(stock_of_knowledge(sK2,sK0),stock_of_knowledge(sK2,sK1)),
inference(subsumption_resolution,[],[f80,f39]) ).
fof(f80,plain,
( ~ organization(sK2)
| greater(stock_of_knowledge(sK2,sK0),stock_of_knowledge(sK2,sK1)) ),
inference(resolution,[],[f53,f40]) ).
fof(f40,plain,
greater(age(sK2,sK0),age(sK2,sK1)),
inference(cnf_transformation,[],[f33]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ greater(age(X2,X1),age(X2,X0))
| greater(stock_of_knowledge(X2,X1),stock_of_knowledge(X2,X0))
| ~ organization(X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X2] :
( greater(stock_of_knowledge(X2,X1),stock_of_knowledge(X2,X0))
| ~ greater(age(X2,X1),age(X2,X0))
| ~ organization(X2) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
! [X2,X0,X1] :
( greater(stock_of_knowledge(X1,X0),stock_of_knowledge(X1,X2))
| ~ greater(age(X1,X0),age(X1,X2))
| ~ organization(X1) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X1,X0,X2] :
( greater(stock_of_knowledge(X1,X0),stock_of_knowledge(X1,X2))
| ~ organization(X1)
| ~ greater(age(X1,X0),age(X1,X2)) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
! [X1,X0,X2] :
( ( organization(X1)
& greater(age(X1,X0),age(X1,X2)) )
=> greater(stock_of_knowledge(X1,X0),stock_of_knowledge(X1,X2)) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X4,X0,X3] :
( ( greater(age(X0,X4),age(X0,X3))
& organization(X0) )
=> greater(stock_of_knowledge(X0,X4),stock_of_knowledge(X0,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_7) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ greater(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X0))
| ~ organization(X1)
| ~ smaller_or_equal(internal_friction(X1,X2),internal_friction(X1,X0))
| greater(capability(X1,X2),capability(X1,X0)) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( ( ~ smaller_or_equal(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X0))
| ~ greater(internal_friction(X1,X2),internal_friction(X1,X0))
| smaller(capability(X1,X2),capability(X1,X0)) )
& ( greater(capability(X1,X2),capability(X1,X0))
| ~ smaller_or_equal(internal_friction(X1,X2),internal_friction(X1,X0))
| ~ greater(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X0)) )
& ( stock_of_knowledge(X1,X0) != stock_of_knowledge(X1,X2)
| internal_friction(X1,X2) != internal_friction(X1,X0)
| capability(X1,X0) = capability(X1,X2) ) )
| ~ organization(X1) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X1,X2,X0] :
( ( ( ~ smaller_or_equal(stock_of_knowledge(X2,X0),stock_of_knowledge(X2,X1))
| ~ greater(internal_friction(X2,X0),internal_friction(X2,X1))
| smaller(capability(X2,X0),capability(X2,X1)) )
& ( greater(capability(X2,X0),capability(X2,X1))
| ~ smaller_or_equal(internal_friction(X2,X0),internal_friction(X2,X1))
| ~ greater(stock_of_knowledge(X2,X0),stock_of_knowledge(X2,X1)) )
& ( stock_of_knowledge(X2,X1) != stock_of_knowledge(X2,X0)
| internal_friction(X2,X0) != internal_friction(X2,X1)
| capability(X2,X0) = capability(X2,X1) ) )
| ~ organization(X2) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ( ( smaller(capability(X2,X0),capability(X2,X1))
| ~ smaller_or_equal(stock_of_knowledge(X2,X0),stock_of_knowledge(X2,X1))
| ~ greater(internal_friction(X2,X0),internal_friction(X2,X1)) )
& ( capability(X2,X0) = capability(X2,X1)
| stock_of_knowledge(X2,X1) != stock_of_knowledge(X2,X0)
| internal_friction(X2,X0) != internal_friction(X2,X1) )
& ( greater(capability(X2,X0),capability(X2,X1))
| ~ smaller_or_equal(internal_friction(X2,X0),internal_friction(X2,X1))
| ~ greater(stock_of_knowledge(X2,X0),stock_of_knowledge(X2,X1)) ) )
| ~ organization(X2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1,X2] :
( organization(X2)
=> ( ( ( smaller_or_equal(stock_of_knowledge(X2,X0),stock_of_knowledge(X2,X1))
& greater(internal_friction(X2,X0),internal_friction(X2,X1)) )
=> smaller(capability(X2,X0),capability(X2,X1)) )
& ( ( stock_of_knowledge(X2,X1) = stock_of_knowledge(X2,X0)
& internal_friction(X2,X0) = internal_friction(X2,X1) )
=> capability(X2,X0) = capability(X2,X1) )
& ( ( smaller_or_equal(internal_friction(X2,X0),internal_friction(X2,X1))
& greater(stock_of_knowledge(X2,X0),stock_of_knowledge(X2,X1)) )
=> greater(capability(X2,X0),capability(X2,X1)) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X4,X3,X0] :
( organization(X0)
=> ( ( ( greater(stock_of_knowledge(X0,X4),stock_of_knowledge(X0,X3))
& smaller_or_equal(internal_friction(X0,X4),internal_friction(X0,X3)) )
=> greater(capability(X0,X4),capability(X0,X3)) )
& ( ( greater(internal_friction(X0,X4),internal_friction(X0,X3))
& smaller_or_equal(stock_of_knowledge(X0,X4),stock_of_knowledge(X0,X3)) )
=> smaller(capability(X0,X4),capability(X0,X3)) )
& ( ( stock_of_knowledge(X0,X4) = stock_of_knowledge(X0,X3)
& internal_friction(X0,X4) = internal_friction(X0,X3) )
=> capability(X0,X4) = capability(X0,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : MGT044+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % 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 : n021.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 03:15:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 % (31958)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)
% 0.18/0.46 % (31958)First to succeed.
% 0.18/0.46 % (31950)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)
% 0.18/0.47 % (31958)Refutation found. Thanks to Tanya!
% 0.18/0.47 % SZS status Theorem for theBenchmark
% 0.18/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47 % (31958)------------------------------
% 0.18/0.47 % (31958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.47 % (31958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.47 % (31958)Termination reason: Refutation
% 0.18/0.47
% 0.18/0.47 % (31958)Memory used [KB]: 6012
% 0.18/0.47 % (31958)Time elapsed: 0.056 s
% 0.18/0.47 % (31958)Instructions burned: 4 (million)
% 0.18/0.47 % (31958)------------------------------
% 0.18/0.47 % (31958)------------------------------
% 0.18/0.47 % (31940)Success in time 0.128 s
%------------------------------------------------------------------------------