TSTP Solution File: MGT045+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : MGT045+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 : n013.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 17:51:09 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 6 unt; 0 def)
% Number of atoms : 78 ( 8 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 79 ( 28 ~; 18 |; 21 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 54 ( 42 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f76,plain,
$false,
inference(subsumption_resolution,[],[f75,f38]) ).
fof(f38,plain,
organization(sK0),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
( organization(sK0)
& ~ greater(position(sK0,sK1),position(sK0,sK2))
& greater(age(sK0,sK1),age(sK0,sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f27,f28]) ).
fof(f28,plain,
( ? [X0,X1,X2] :
( organization(X0)
& ~ greater(position(X0,X1),position(X0,X2))
& greater(age(X0,X1),age(X0,X2)) )
=> ( organization(sK0)
& ~ greater(position(sK0,sK1),position(sK0,sK2))
& greater(age(sK0,sK1),age(sK0,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
? [X0,X1,X2] :
( organization(X0)
& ~ greater(position(X0,X1),position(X0,X2))
& greater(age(X0,X1),age(X0,X2)) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
? [X1,X0,X2] :
( organization(X1)
& ~ greater(position(X1,X0),position(X1,X2))
& greater(age(X1,X0),age(X1,X2)) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
? [X0,X2,X1] :
( ~ greater(position(X1,X0),position(X1,X2))
& organization(X1)
& greater(age(X1,X0),age(X1,X2)) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ! [X0,X2,X1] :
( ( organization(X1)
& greater(age(X1,X0),age(X1,X2)) )
=> greater(position(X1,X0),position(X1,X2)) ),
inference(rectify,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X4,X0,X3] :
( ( organization(X0)
& greater(age(X0,X4),age(X0,X3)) )
=> greater(position(X0,X4),position(X0,X3)) ),
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X4,X0,X3] :
( ( organization(X0)
& greater(age(X0,X4),age(X0,X3)) )
=> greater(position(X0,X4),position(X0,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_4) ).
fof(f75,plain,
~ organization(sK0),
inference(subsumption_resolution,[],[f71,f37]) ).
fof(f37,plain,
~ greater(position(sK0,sK1),position(sK0,sK2)),
inference(cnf_transformation,[],[f29]) ).
fof(f71,plain,
( greater(position(sK0,sK1),position(sK0,sK2))
| ~ organization(sK0) ),
inference(resolution,[],[f66,f45]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ greater(external_ties(X1,X2),external_ties(X1,X0))
| greater(position(X1,X2),position(X1,X0))
| ~ organization(X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ( ( position(X1,X2) = position(X1,X0)
| external_ties(X1,X0) != external_ties(X1,X2) )
& ( ~ greater(external_ties(X1,X2),external_ties(X1,X0))
| greater(position(X1,X2),position(X1,X0)) ) )
| ~ organization(X1) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X0,X2,X1] :
( ( ( position(X2,X0) = position(X2,X1)
| external_ties(X2,X0) != external_ties(X2,X1) )
& ( ~ greater(external_ties(X2,X1),external_ties(X2,X0))
| greater(position(X2,X1),position(X2,X0)) ) )
| ~ organization(X2) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1,X2] :
( organization(X2)
=> ( ( external_ties(X2,X0) = external_ties(X2,X1)
=> position(X2,X0) = position(X2,X1) )
& ( greater(external_ties(X2,X1),external_ties(X2,X0))
=> greater(position(X2,X1),position(X2,X0)) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X3,X4,X0] :
( organization(X0)
=> ( ( greater(external_ties(X0,X4),external_ties(X0,X3))
=> greater(position(X0,X4),position(X0,X3)) )
& ( external_ties(X0,X4) = external_ties(X0,X3)
=> position(X0,X4) = position(X0,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6) ).
fof(f66,plain,
greater(external_ties(sK0,sK1),external_ties(sK0,sK2)),
inference(subsumption_resolution,[],[f64,f38]) ).
fof(f64,plain,
( ~ organization(sK0)
| greater(external_ties(sK0,sK1),external_ties(sK0,sK2)) ),
inference(resolution,[],[f41,f36]) ).
fof(f36,plain,
greater(age(sK0,sK1),age(sK0,sK2)),
inference(cnf_transformation,[],[f29]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ greater(age(X0,X2),age(X0,X1))
| ~ organization(X0)
| greater(external_ties(X0,X2),external_ties(X0,X1)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ~ greater(age(X0,X2),age(X0,X1))
| ~ organization(X0)
| greater(external_ties(X0,X2),external_ties(X0,X1)) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X1,X0,X2] :
( ~ greater(age(X1,X2),age(X1,X0))
| ~ organization(X1)
| greater(external_ties(X1,X2),external_ties(X1,X0)) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X2,X1,X0] :
( greater(external_ties(X1,X2),external_ties(X1,X0))
| ~ greater(age(X1,X2),age(X1,X0))
| ~ organization(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X2,X1,X0] :
( ( greater(age(X1,X2),age(X1,X0))
& organization(X1) )
=> greater(external_ties(X1,X2),external_ties(X1,X0)) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X3,X0,X4] :
( ( organization(X0)
& greater(age(X0,X4),age(X0,X3)) )
=> greater(external_ties(X0,X4),external_ties(X0,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_8) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT045+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 03:14:47 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (31928)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)
% 0.19/0.49 % (31926)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)
% 0.19/0.50 % (31928)First to succeed.
% 0.19/0.50 % (31936)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)
% 0.19/0.50 % (31920)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)
% 0.19/0.51 % (31925)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)
% 0.19/0.51 % (31928)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 % (31928)------------------------------
% 0.19/0.51 % (31928)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (31928)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (31928)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (31928)Memory used [KB]: 5884
% 0.19/0.51 % (31928)Time elapsed: 0.096 s
% 0.19/0.51 % (31928)Instructions burned: 3 (million)
% 0.19/0.51 % (31928)------------------------------
% 0.19/0.51 % (31928)------------------------------
% 0.19/0.51 % (31912)Success in time 0.161 s
%------------------------------------------------------------------------------