TSTP Solution File: MGT048+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : MGT048+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 : n028.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 17:51:10 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 9 unt; 0 def)
% Number of atoms : 124 ( 24 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 135 ( 47 ~; 38 |; 32 &)
% ( 1 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 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 : 78 ( 69 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f88,plain,
$false,
inference(unit_resulting_resolution,[],[f53,f78]) ).
fof(f78,plain,
! [X0] : ~ smaller_or_equal(stock_of_knowledge(sK2,X0),stock_of_knowledge(sK2,sK1)),
inference(superposition,[],[f74,f63]) ).
fof(f63,plain,
! [X0,X1] : stock_of_knowledge(sK2,X1) = stock_of_knowledge(sK2,X0),
inference(unit_resulting_resolution,[],[f48,f50]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ organization(X1)
| stock_of_knowledge(X1,X0) = stock_of_knowledge(X1,X2) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ~ organization(X1)
| stock_of_knowledge(X1,X0) = stock_of_knowledge(X1,X2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1,X2] :
( organization(X1)
=> stock_of_knowledge(X1,X0) = stock_of_knowledge(X1,X2) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X4,X0,X3] :
( organization(X0)
=> stock_of_knowledge(X0,X4) = stock_of_knowledge(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_10) ).
fof(f48,plain,
organization(sK2),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( organization(sK2)
& ~ smaller(capability(sK2,sK0),capability(sK2,sK1))
& greater(age(sK2,sK0),age(sK2,sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f21,f34]) ).
fof(f34,plain,
( ? [X0,X1,X2] :
( organization(X2)
& ~ smaller(capability(X2,X0),capability(X2,X1))
& greater(age(X2,X0),age(X2,X1)) )
=> ( organization(sK2)
& ~ smaller(capability(sK2,sK0),capability(sK2,sK1))
& greater(age(sK2,sK0),age(sK2,sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
? [X0,X1,X2] :
( organization(X2)
& ~ smaller(capability(X2,X0),capability(X2,X1))
& greater(age(X2,X0),age(X2,X1)) ),
inference(flattening,[],[f20]) ).
fof(f20,plain,
? [X1,X2,X0] :
( ~ smaller(capability(X2,X0),capability(X2,X1))
& greater(age(X2,X0),age(X2,X1))
& organization(X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
~ ! [X1,X2,X0] :
( ( greater(age(X2,X0),age(X2,X1))
& organization(X2) )
=> smaller(capability(X2,X0),capability(X2,X1)) ),
inference(rectify,[],[f11]) ).
fof(f11,negated_conjecture,
~ ! [X4,X3,X0] :
( ( greater(age(X0,X4),age(X0,X3))
& organization(X0) )
=> smaller(capability(X0,X4),capability(X0,X3)) ),
inference(negated_conjecture,[],[f10]) ).
fof(f10,conjecture,
! [X4,X3,X0] :
( ( greater(age(X0,X4),age(X0,X3))
& organization(X0) )
=> smaller(capability(X0,X4),capability(X0,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_5) ).
fof(f74,plain,
~ smaller_or_equal(stock_of_knowledge(sK2,sK0),stock_of_knowledge(sK2,sK1)),
inference(unit_resulting_resolution,[],[f48,f47,f68,f40]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ greater(internal_friction(X0,X1),internal_friction(X0,X2))
| smaller(capability(X0,X1),capability(X0,X2))
| ~ smaller_or_equal(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ organization(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ( ( capability(X0,X2) = capability(X0,X1)
| internal_friction(X0,X1) != internal_friction(X0,X2)
| stock_of_knowledge(X0,X2) != stock_of_knowledge(X0,X1) )
& ( ~ smaller_or_equal(internal_friction(X0,X1),internal_friction(X0,X2))
| ~ greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| greater(capability(X0,X1),capability(X0,X2)) )
& ( ~ smaller_or_equal(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| smaller(capability(X0,X1),capability(X0,X2))
| ~ greater(internal_friction(X0,X1),internal_friction(X0,X2)) ) )
| ~ organization(X0) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X2,X1,X0] :
( ( ( capability(X2,X0) = capability(X2,X1)
| internal_friction(X2,X0) != internal_friction(X2,X1)
| stock_of_knowledge(X2,X0) != stock_of_knowledge(X2,X1) )
& ( ~ smaller_or_equal(internal_friction(X2,X1),internal_friction(X2,X0))
| ~ greater(stock_of_knowledge(X2,X1),stock_of_knowledge(X2,X0))
| greater(capability(X2,X1),capability(X2,X0)) )
& ( ~ smaller_or_equal(stock_of_knowledge(X2,X1),stock_of_knowledge(X2,X0))
| smaller(capability(X2,X1),capability(X2,X0))
| ~ greater(internal_friction(X2,X1),internal_friction(X2,X0)) ) )
| ~ organization(X2) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
! [X1,X2,X0] :
( ( ( capability(X2,X0) = capability(X2,X1)
| stock_of_knowledge(X2,X0) != stock_of_knowledge(X2,X1)
| internal_friction(X2,X0) != internal_friction(X2,X1) )
& ( greater(capability(X2,X1),capability(X2,X0))
| ~ greater(stock_of_knowledge(X2,X1),stock_of_knowledge(X2,X0))
| ~ smaller_or_equal(internal_friction(X2,X1),internal_friction(X2,X0)) )
& ( smaller(capability(X2,X1),capability(X2,X0))
| ~ smaller_or_equal(stock_of_knowledge(X2,X1),stock_of_knowledge(X2,X0))
| ~ greater(internal_friction(X2,X1),internal_friction(X2,X0)) ) )
| ~ organization(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
! [X1,X2,X0] :
( organization(X2)
=> ( ( ( stock_of_knowledge(X2,X0) = stock_of_knowledge(X2,X1)
& internal_friction(X2,X0) = internal_friction(X2,X1) )
=> capability(X2,X0) = capability(X2,X1) )
& ( ( greater(stock_of_knowledge(X2,X1),stock_of_knowledge(X2,X0))
& smaller_or_equal(internal_friction(X2,X1),internal_friction(X2,X0)) )
=> greater(capability(X2,X1),capability(X2,X0)) )
& ( ( smaller_or_equal(stock_of_knowledge(X2,X1),stock_of_knowledge(X2,X0))
& greater(internal_friction(X2,X1),internal_friction(X2,X0)) )
=> smaller(capability(X2,X1),capability(X2,X0)) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X3,X4,X0] :
( organization(X0)
=> ( ( ( internal_friction(X0,X4) = internal_friction(X0,X3)
& stock_of_knowledge(X0,X4) = stock_of_knowledge(X0,X3) )
=> 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)) )
& ( ( 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)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5) ).
fof(f68,plain,
greater(internal_friction(sK2,sK0),internal_friction(sK2,sK1)),
inference(unit_resulting_resolution,[],[f48,f46,f43]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ greater(age(X2,X0),age(X2,X1))
| ~ organization(X2)
| greater(internal_friction(X2,X0),internal_friction(X2,X1)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( greater(internal_friction(X2,X0),internal_friction(X2,X1))
| ~ greater(age(X2,X0),age(X2,X1))
| ~ organization(X2) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X1,X0,X2] :
( greater(internal_friction(X2,X1),internal_friction(X2,X0))
| ~ greater(age(X2,X1),age(X2,X0))
| ~ organization(X2) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
! [X2,X0,X1] :
( greater(internal_friction(X2,X1),internal_friction(X2,X0))
| ~ organization(X2)
| ~ greater(age(X2,X1),age(X2,X0)) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X2,X0,X1] :
( ( organization(X2)
& greater(age(X2,X1),age(X2,X0)) )
=> greater(internal_friction(X2,X1),internal_friction(X2,X0)) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X3,X4,X0] :
( ( organization(X0)
& greater(age(X0,X4),age(X0,X3)) )
=> greater(internal_friction(X0,X4),internal_friction(X0,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_12) ).
fof(f46,plain,
greater(age(sK2,sK0),age(sK2,sK1)),
inference(cnf_transformation,[],[f35]) ).
fof(f47,plain,
~ smaller(capability(sK2,sK0),capability(sK2,sK1)),
inference(cnf_transformation,[],[f35]) ).
fof(f53,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( X0 != X1
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( ( ~ smaller(X0,X1)
& X0 != X1 )
| smaller_or_equal(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(X0,X1)
| X0 = X1 )
<=> smaller_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT048+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 03:28:18 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.50 % (17849)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 (2999ds/24Mi)
% 0.20/0.51 % (17827)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)
% 0.20/0.51 % (17841)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 (2999ds/99Mi)
% 0.20/0.51 % (17833)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)
% 0.20/0.51 % (17833)First to succeed.
% 0.20/0.52 % (17843)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.52 % (17833)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (17833)------------------------------
% 0.20/0.52 % (17833)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (17833)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (17833)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (17833)Memory used [KB]: 6012
% 0.20/0.52 % (17833)Time elapsed: 0.113 s
% 0.20/0.52 % (17833)Instructions burned: 3 (million)
% 0.20/0.52 % (17833)------------------------------
% 0.20/0.52 % (17833)------------------------------
% 0.20/0.52 % (17819)Success in time 0.166 s
%------------------------------------------------------------------------------