TSTP Solution File: MGT048+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n004.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 17:51:37 EDT 2022
% Result : Theorem 0.23s 0.58s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 42 ( 9 unt; 0 def)
% Number of atoms : 139 ( 26 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 153 ( 56 ~; 44 |; 35 &)
% ( 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 : 86 ( 74 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f116,plain,
$false,
inference(resolution,[],[f111,f56]) ).
fof(f56,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( X0 != X1
| smaller_or_equal(X1,X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( ( ~ smaller(X1,X0)
& X0 != X1 )
| smaller_or_equal(X1,X0) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X1,X0] :
( ( ~ smaller(X0,X1)
& X0 != X1 )
| smaller_or_equal(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( ( smaller(X0,X1)
| X0 = X1 )
=> smaller_or_equal(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ( smaller(X0,X1)
| X0 = X1 )
<=> smaller_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal) ).
fof(f111,plain,
! [X1] : ~ smaller_or_equal(stock_of_knowledge(sK0,X1),stock_of_knowledge(sK0,sK1)),
inference(superposition,[],[f83,f61]) ).
fof(f61,plain,
! [X0,X1] : stock_of_knowledge(sK0,X1) = stock_of_knowledge(sK0,X0),
inference(resolution,[],[f44,f51]) ).
fof(f51,plain,
organization(sK0),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( greater(age(sK0,sK2),age(sK0,sK1))
& ~ smaller(capability(sK0,sK2),capability(sK0,sK1))
& organization(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f36,f37]) ).
fof(f37,plain,
( ? [X0,X1,X2] :
( greater(age(X0,X2),age(X0,X1))
& ~ smaller(capability(X0,X2),capability(X0,X1))
& organization(X0) )
=> ( greater(age(sK0,sK2),age(sK0,sK1))
& ~ smaller(capability(sK0,sK2),capability(sK0,sK1))
& organization(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
? [X0,X1,X2] :
( greater(age(X0,X2),age(X0,X1))
& ~ smaller(capability(X0,X2),capability(X0,X1))
& organization(X0) ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
? [X0,X2,X1] :
( greater(age(X0,X1),age(X0,X2))
& ~ smaller(capability(X0,X1),capability(X0,X2))
& organization(X0) ),
inference(flattening,[],[f20]) ).
fof(f20,plain,
? [X0,X1,X2] :
( ~ smaller(capability(X0,X1),capability(X0,X2))
& greater(age(X0,X1),age(X0,X2))
& organization(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
~ ! [X0,X1,X2] :
( ( greater(age(X0,X1),age(X0,X2))
& organization(X0) )
=> smaller(capability(X0,X1),capability(X0,X2)) ),
inference(rectify,[],[f11]) ).
fof(f11,negated_conjecture,
~ ! [X0,X4,X3] :
( ( greater(age(X0,X4),age(X0,X3))
& organization(X0) )
=> smaller(capability(X0,X4),capability(X0,X3)) ),
inference(negated_conjecture,[],[f10]) ).
fof(f10,conjecture,
! [X0,X4,X3] :
( ( 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(f44,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| stock_of_knowledge(X0,X1) = stock_of_knowledge(X0,X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( stock_of_knowledge(X0,X1) = stock_of_knowledge(X0,X2)
| ~ organization(X0) ),
inference(rectify,[],[f24]) ).
fof(f24,plain,
! [X2,X0,X1] :
( stock_of_knowledge(X2,X0) = stock_of_knowledge(X2,X1)
| ~ organization(X2) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
! [X1,X2,X0] :
( organization(X2)
=> stock_of_knowledge(X2,X0) = stock_of_knowledge(X2,X1) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X4,X3,X0] :
( organization(X0)
=> stock_of_knowledge(X0,X4) = stock_of_knowledge(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_10) ).
fof(f83,plain,
~ smaller_or_equal(stock_of_knowledge(sK0,sK2),stock_of_knowledge(sK0,sK1)),
inference(subsumption_resolution,[],[f82,f51]) ).
fof(f82,plain,
( ~ smaller_or_equal(stock_of_knowledge(sK0,sK2),stock_of_knowledge(sK0,sK1))
| ~ organization(sK0) ),
inference(subsumption_resolution,[],[f78,f52]) ).
fof(f52,plain,
~ smaller(capability(sK0,sK2),capability(sK0,sK1)),
inference(cnf_transformation,[],[f38]) ).
fof(f78,plain,
( smaller(capability(sK0,sK2),capability(sK0,sK1))
| ~ organization(sK0)
| ~ smaller_or_equal(stock_of_knowledge(sK0,sK2),stock_of_knowledge(sK0,sK1)) ),
inference(resolution,[],[f66,f42]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ greater(internal_friction(X1,X2),internal_friction(X1,X0))
| ~ smaller_or_equal(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X0))
| ~ organization(X1)
| smaller(capability(X1,X2),capability(X1,X0)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ( ( ~ greater(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X0))
| ~ smaller_or_equal(internal_friction(X1,X2),internal_friction(X1,X0))
| greater(capability(X1,X2),capability(X1,X0)) )
& ( ~ smaller_or_equal(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X0))
| smaller(capability(X1,X2),capability(X1,X0))
| ~ greater(internal_friction(X1,X2),internal_friction(X1,X0)) )
& ( capability(X1,X0) = capability(X1,X2)
| stock_of_knowledge(X1,X2) != stock_of_knowledge(X1,X0)
| internal_friction(X1,X2) != internal_friction(X1,X0) ) )
| ~ organization(X1) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X1,X0,X2] :
( ( ( ~ greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
| greater(capability(X0,X2),capability(X0,X1)) )
& ( ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| smaller(capability(X0,X2),capability(X0,X1))
| ~ greater(internal_friction(X0,X2),internal_friction(X0,X1)) )
& ( capability(X0,X1) = capability(X0,X2)
| stock_of_knowledge(X0,X1) != stock_of_knowledge(X0,X2)
| internal_friction(X0,X2) != internal_friction(X0,X1) ) )
| ~ organization(X0) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X1,X0,X2] :
( ( ( capability(X0,X1) = capability(X0,X2)
| internal_friction(X0,X2) != internal_friction(X0,X1)
| stock_of_knowledge(X0,X1) != stock_of_knowledge(X0,X2) )
& ( smaller(capability(X0,X2),capability(X0,X1))
| ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ greater(internal_friction(X0,X2),internal_friction(X0,X1)) )
& ( greater(capability(X0,X2),capability(X0,X1))
| ~ smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) ) )
| ~ organization(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X1,X0,X2] :
( organization(X0)
=> ( ( ( internal_friction(X0,X2) = internal_friction(X0,X1)
& stock_of_knowledge(X0,X1) = stock_of_knowledge(X0,X2) )
=> capability(X0,X1) = capability(X0,X2) )
& ( ( smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
& greater(internal_friction(X0,X2),internal_friction(X0,X1)) )
=> smaller(capability(X0,X2),capability(X0,X1)) )
& ( ( smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
& greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) )
=> greater(capability(X0,X2),capability(X0,X1)) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0,X3,X4] :
( organization(X0)
=> ( ( ( stock_of_knowledge(X0,X4) = stock_of_knowledge(X0,X3)
& internal_friction(X0,X4) = internal_friction(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)) )
& ( ( smaller_or_equal(internal_friction(X0,X4),internal_friction(X0,X3))
& greater(stock_of_knowledge(X0,X4),stock_of_knowledge(X0,X3)) )
=> greater(capability(X0,X4),capability(X0,X3)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5) ).
fof(f66,plain,
greater(internal_friction(sK0,sK2),internal_friction(sK0,sK1)),
inference(subsumption_resolution,[],[f65,f51]) ).
fof(f65,plain,
( ~ organization(sK0)
| greater(internal_friction(sK0,sK2),internal_friction(sK0,sK1)) ),
inference(resolution,[],[f55,f53]) ).
fof(f53,plain,
greater(age(sK0,sK2),age(sK0,sK1)),
inference(cnf_transformation,[],[f38]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ greater(age(X0,X1),age(X0,X2))
| ~ organization(X0)
| greater(internal_friction(X0,X1),internal_friction(X0,X2)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ~ greater(age(X0,X1),age(X0,X2))
| ~ organization(X0)
| greater(internal_friction(X0,X1),internal_friction(X0,X2)) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
! [X2,X1,X0] :
( ~ greater(age(X2,X1),age(X2,X0))
| ~ organization(X2)
| greater(internal_friction(X2,X1),internal_friction(X2,X0)) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X1,X0,X2] :
( greater(internal_friction(X2,X1),internal_friction(X2,X0))
| ~ greater(age(X2,X1),age(X2,X0))
| ~ organization(X2) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
! [X1,X0,X2] :
( ( greater(age(X2,X1),age(X2,X0))
& organization(X2) )
=> 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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : MGT048+1 : TPTP v8.1.0. Released v2.4.0.
% 0.09/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.37 % Computer : n004.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue Aug 30 03:15:49 EDT 2022
% 0.15/0.38 % CPUTime :
% 0.23/0.50 % (10767)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.23/0.50 % (10759)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.23/0.51 TRYING [1]
% 0.23/0.51 % (10775)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.23/0.52 TRYING [2]
% 0.23/0.52 TRYING [3]
% 0.23/0.53 TRYING [4]
% 0.23/0.54 TRYING [5]
% 0.23/0.55 % (10753)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.23/0.55 % (10755)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.23/0.55 % (10754)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.23/0.56 % (10772)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)
% 0.23/0.56 % (10763)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.23/0.56 % (10777)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.23/0.56 % (10770)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.23/0.57 % (10769)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.23/0.57 % (10765)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)
% 0.23/0.57 % (10764)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)
% 0.23/0.57 % (10756)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)
% 0.23/0.57 % (10751)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)
% 0.23/0.57 % (10751)Refutation not found, incomplete strategy% (10751)------------------------------
% 0.23/0.57 % (10751)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.57 % (10751)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.57 % (10751)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.57
% 0.23/0.57 % (10751)Memory used [KB]: 5373
% 0.23/0.57 % (10751)Time elapsed: 0.133 s
% 0.23/0.57 % (10751)Instructions burned: 2 (million)
% 0.23/0.57 % (10751)------------------------------
% 0.23/0.57 % (10751)------------------------------
% 0.23/0.57 % (10766)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.23/0.57 % (10771)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.23/0.57 % (10750)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.23/0.57 % (10752)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)
% 0.23/0.57 TRYING [1]
% 0.23/0.57 TRYING [2]
% 0.23/0.57 % (10752)First to succeed.
% 0.23/0.57 TRYING [3]
% 0.23/0.57 TRYING [6]
% 0.23/0.58 % (10773)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.23/0.58 % (10752)Refutation found. Thanks to Tanya!
% 0.23/0.58 % SZS status Theorem for theBenchmark
% 0.23/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.58 % (10752)------------------------------
% 0.23/0.58 % (10752)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.58 % (10752)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.58 % (10752)Termination reason: Refutation
% 0.23/0.58
% 0.23/0.58 % (10752)Memory used [KB]: 1023
% 0.23/0.58 % (10752)Time elapsed: 0.135 s
% 0.23/0.58 % (10752)Instructions burned: 4 (million)
% 0.23/0.58 % (10752)------------------------------
% 0.23/0.58 % (10752)------------------------------
% 0.23/0.58 % (10749)Success in time 0.192 s
%------------------------------------------------------------------------------