TSTP Solution File: MGT045+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n008.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 17:51:36 EDT 2022
% Result : Theorem 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 36 ( 12 unt; 0 def)
% Number of atoms : 91 ( 12 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 87 ( 32 ~; 22 |; 21 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 56 ( 44 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f223,plain,
$false,
inference(subsumption_resolution,[],[f222,f47]) ).
fof(f47,plain,
~ greater(sF3,sF4),
inference(definition_folding,[],[f38,f46,f45]) ).
fof(f45,plain,
position(sK1,sK2) = sF3,
introduced(function_definition,[]) ).
fof(f46,plain,
sF4 = position(sK1,sK0),
introduced(function_definition,[]) ).
fof(f38,plain,
~ greater(position(sK1,sK2),position(sK1,sK0)),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
( organization(sK1)
& ~ greater(position(sK1,sK2),position(sK1,sK0))
& greater(age(sK1,sK2),age(sK1,sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f27,f28]) ).
fof(f28,plain,
( ? [X0,X1,X2] :
( organization(X1)
& ~ greater(position(X1,X2),position(X1,X0))
& greater(age(X1,X2),age(X1,X0)) )
=> ( organization(sK1)
& ~ greater(position(sK1,sK2),position(sK1,sK0))
& greater(age(sK1,sK2),age(sK1,sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
? [X0,X1,X2] :
( organization(X1)
& ~ greater(position(X1,X2),position(X1,X0))
& greater(age(X1,X2),age(X1,X0)) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
? [X2,X1,X0] :
( organization(X1)
& ~ greater(position(X1,X0),position(X1,X2))
& greater(age(X1,X0),age(X1,X2)) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
? [X2,X1,X0] :
( ~ greater(position(X1,X0),position(X1,X2))
& greater(age(X1,X0),age(X1,X2))
& organization(X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X2,X1,X0] :
( ( greater(age(X1,X0),age(X1,X2))
& organization(X1) )
=> greater(position(X1,X0),position(X1,X2)) ),
inference(rectify,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X4,X0,X3] :
( ( greater(age(X0,X4),age(X0,X3))
& organization(X0) )
=> greater(position(X0,X4),position(X0,X3)) ),
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X4,X0,X3] :
( ( greater(age(X0,X4),age(X0,X3))
& organization(X0) )
=> greater(position(X0,X4),position(X0,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_4) ).
fof(f222,plain,
greater(sF3,sF4),
inference(forward_demodulation,[],[f221,f46]) ).
fof(f221,plain,
greater(sF3,position(sK1,sK0)),
inference(subsumption_resolution,[],[f220,f50]) ).
fof(f50,plain,
greater(sF5,sF6),
inference(definition_folding,[],[f37,f49,f48]) ).
fof(f48,plain,
sF5 = age(sK1,sK2),
introduced(function_definition,[]) ).
fof(f49,plain,
sF6 = age(sK1,sK0),
introduced(function_definition,[]) ).
fof(f37,plain,
greater(age(sK1,sK2),age(sK1,sK0)),
inference(cnf_transformation,[],[f29]) ).
fof(f220,plain,
( ~ greater(sF5,sF6)
| greater(sF3,position(sK1,sK0)) ),
inference(superposition,[],[f214,f49]) ).
fof(f214,plain,
! [X0] :
( ~ greater(sF5,age(sK1,X0))
| greater(sF3,position(sK1,X0)) ),
inference(forward_demodulation,[],[f213,f45]) ).
fof(f213,plain,
! [X0] :
( greater(position(sK1,sK2),position(sK1,X0))
| ~ greater(sF5,age(sK1,X0)) ),
inference(subsumption_resolution,[],[f209,f39]) ).
fof(f39,plain,
organization(sK1),
inference(cnf_transformation,[],[f29]) ).
fof(f209,plain,
! [X0] :
( ~ organization(sK1)
| ~ greater(sF5,age(sK1,X0))
| greater(position(sK1,sK2),position(sK1,X0)) ),
inference(resolution,[],[f85,f44]) ).
fof(f44,plain,
! [X2,X0,X1] :
( ~ greater(external_ties(X1,X2),external_ties(X1,X0))
| ~ organization(X1)
| greater(position(X1,X2),position(X1,X0)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ( ( ~ greater(external_ties(X1,X2),external_ties(X1,X0))
| greater(position(X1,X2),position(X1,X0)) )
& ( external_ties(X1,X2) != external_ties(X1,X0)
| position(X1,X0) = position(X1,X2) ) )
| ~ organization(X1) ),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X1,X2,X0] :
( ( ( ~ greater(external_ties(X2,X0),external_ties(X2,X1))
| greater(position(X2,X0),position(X2,X1)) )
& ( external_ties(X2,X0) != external_ties(X2,X1)
| position(X2,X0) = position(X2,X1) ) )
| ~ organization(X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
! [X2,X1,X0] :
( organization(X2)
=> ( ( greater(external_ties(X2,X0),external_ties(X2,X1))
=> greater(position(X2,X0),position(X2,X1)) )
& ( external_ties(X2,X0) = external_ties(X2,X1)
=> position(X2,X0) = position(X2,X1) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X4,X3,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(f85,plain,
! [X0] :
( greater(external_ties(sK1,sK2),external_ties(sK1,X0))
| ~ greater(sF5,age(sK1,X0)) ),
inference(subsumption_resolution,[],[f79,f39]) ).
fof(f79,plain,
! [X0] :
( ~ greater(sF5,age(sK1,X0))
| greater(external_ties(sK1,sK2),external_ties(sK1,X0))
| ~ organization(sK1) ),
inference(superposition,[],[f35,f48]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ greater(age(X2,X1),age(X2,X0))
| greater(external_ties(X2,X1),external_ties(X2,X0))
| ~ organization(X2) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] :
( greater(external_ties(X2,X1),external_ties(X2,X0))
| ~ greater(age(X2,X1),age(X2,X0))
| ~ organization(X2) ),
inference(flattening,[],[f23]) ).
fof(f23,plain,
! [X2,X0,X1] :
( greater(external_ties(X2,X1),external_ties(X2,X0))
| ~ organization(X2)
| ~ greater(age(X2,X1),age(X2,X0)) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
! [X2,X0,X1] :
( ( organization(X2)
& greater(age(X2,X1),age(X2,X0)) )
=> greater(external_ties(X2,X1),external_ties(X2,X0)) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X3,X4,X0] :
( ( greater(age(X0,X4),age(X0,X3))
& organization(X0) )
=> greater(external_ties(X0,X4),external_ties(X0,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_8) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : MGT045+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n008.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 03:22:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.50 % (9263)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.51 % (9272)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.18/0.51 % (9263)First to succeed.
% 0.18/0.51 % (9279)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.18/0.51 % (9264)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.51 % (9271)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.51 % (9256)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51 TRYING [1]
% 0.18/0.51 TRYING [2]
% 0.18/0.52 TRYING [3]
% 0.18/0.52 % (9275)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.52 TRYING [4]
% 0.18/0.52 % (9251)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52 % (9251)Refutation not found, incomplete strategy% (9251)------------------------------
% 0.18/0.52 % (9251)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (9251)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (9251)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52
% 0.18/0.52 % (9251)Memory used [KB]: 5373
% 0.18/0.52 % (9251)Time elapsed: 0.133 s
% 0.18/0.52 % (9251)Instructions burned: 1 (million)
% 0.18/0.52 % (9251)------------------------------
% 0.18/0.52 % (9251)------------------------------
% 0.18/0.52 TRYING [5]
% 0.18/0.52 % (9252)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.52 % (9265)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.18/0.52 % (9261)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.52 % (9271)Also succeeded, but the first one will report.
% 0.18/0.52 % (9263)Refutation found. Thanks to Tanya!
% 0.18/0.52 % SZS status Theorem for theBenchmark
% 0.18/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52 % (9263)------------------------------
% 0.18/0.52 % (9263)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (9263)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (9263)Termination reason: Refutation
% 0.18/0.52
% 0.18/0.52 % (9263)Memory used [KB]: 5500
% 0.18/0.52 % (9263)Time elapsed: 0.114 s
% 0.18/0.52 % (9263)Instructions burned: 7 (million)
% 0.18/0.52 % (9263)------------------------------
% 0.18/0.52 % (9263)------------------------------
% 0.18/0.52 % (9249)Success in time 0.185 s
%------------------------------------------------------------------------------