TSTP Solution File: MGT044+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT044+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n023.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 : Tue Apr 30 13:55:05 EDT 2024
% Result : Theorem 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 37 ( 9 unt; 0 def)
% Number of atoms : 118 ( 21 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 125 ( 44 ~; 33 |; 30 &)
% ( 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 : 72 ( 63 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f192,plain,
$false,
inference(resolution,[],[f188,f46]) ).
fof(f46,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| ( X0 != X1
& ~ smaller(X0,X1) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( ( X0 = X1
| smaller(X0,X1) )
=> smaller_or_equal(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( smaller_or_equal(X0,X1)
<=> ( X0 = X1
| smaller(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal) ).
fof(f188,plain,
! [X0] : ~ smaller_or_equal(internal_friction(sK0,X0),internal_friction(sK0,sK1)),
inference(superposition,[],[f187,f63]) ).
fof(f63,plain,
! [X0,X1] : internal_friction(sK0,X0) = internal_friction(sK0,X1),
inference(resolution,[],[f40,f31]) ).
fof(f31,plain,
organization(sK0),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
( ~ greater(capability(sK0,sK2),capability(sK0,sK1))
& greater(age(sK0,sK2),age(sK0,sK1))
& organization(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f18,f28]) ).
fof(f28,plain,
( ? [X0,X1,X2] :
( ~ greater(capability(X0,X2),capability(X0,X1))
& greater(age(X0,X2),age(X0,X1))
& organization(X0) )
=> ( ~ greater(capability(sK0,sK2),capability(sK0,sK1))
& greater(age(sK0,sK2),age(sK0,sK1))
& organization(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
? [X0,X1,X2] :
( ~ greater(capability(X0,X2),capability(X0,X1))
& greater(age(X0,X2),age(X0,X1))
& organization(X0) ),
inference(flattening,[],[f17]) ).
fof(f17,plain,
? [X0,X1,X2] :
( ~ greater(capability(X0,X2),capability(X0,X1))
& greater(age(X0,X2),age(X0,X1))
& organization(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
~ ! [X0,X1,X2] :
( ( greater(age(X0,X2),age(X0,X1))
& organization(X0) )
=> greater(capability(X0,X2),capability(X0,X1)) ),
inference(rectify,[],[f11]) ).
fof(f11,negated_conjecture,
~ ! [X0,X3,X4] :
( ( greater(age(X0,X4),age(X0,X3))
& organization(X0) )
=> greater(capability(X0,X4),capability(X0,X3)) ),
inference(negated_conjecture,[],[f10]) ).
fof(f10,conjecture,
! [X0,X3,X4] :
( ( greater(age(X0,X4),age(X0,X3))
& organization(X0) )
=> greater(capability(X0,X4),capability(X0,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_3) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| internal_friction(X0,X2) = internal_friction(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2] :
( internal_friction(X0,X2) = internal_friction(X0,X1)
| ~ organization(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1,X2] :
( organization(X0)
=> internal_friction(X0,X2) = internal_friction(X0,X1) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X0,X3,X4] :
( organization(X0)
=> internal_friction(X0,X4) = internal_friction(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_9) ).
fof(f187,plain,
~ smaller_or_equal(internal_friction(sK0,sK2),internal_friction(sK0,sK1)),
inference(subsumption_resolution,[],[f186,f31]) ).
fof(f186,plain,
( ~ smaller_or_equal(internal_friction(sK0,sK2),internal_friction(sK0,sK1))
| ~ organization(sK0) ),
inference(subsumption_resolution,[],[f180,f86]) ).
fof(f86,plain,
greater(stock_of_knowledge(sK0,sK2),stock_of_knowledge(sK0,sK1)),
inference(subsumption_resolution,[],[f82,f31]) ).
fof(f82,plain,
( greater(stock_of_knowledge(sK0,sK2),stock_of_knowledge(sK0,sK1))
| ~ organization(sK0) ),
inference(resolution,[],[f44,f32]) ).
fof(f32,plain,
greater(age(sK0,sK2),age(sK0,sK1)),
inference(cnf_transformation,[],[f29]) ).
fof(f44,plain,
! [X2,X0,X1] :
( ~ greater(age(X0,X2),age(X0,X1))
| greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ organization(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] :
( greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ greater(age(X0,X2),age(X0,X1))
| ~ organization(X0) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] :
( greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ greater(age(X0,X2),age(X0,X1))
| ~ organization(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1,X2] :
( ( greater(age(X0,X2),age(X0,X1))
& organization(X0) )
=> greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0,X3,X4] :
( ( greater(age(X0,X4),age(X0,X3))
& organization(X0) )
=> greater(stock_of_knowledge(X0,X4),stock_of_knowledge(X0,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_7) ).
fof(f180,plain,
( ~ smaller_or_equal(internal_friction(sK0,sK2),internal_friction(sK0,sK1))
| ~ greater(stock_of_knowledge(sK0,sK2),stock_of_knowledge(sK0,sK1))
| ~ organization(sK0) ),
inference(resolution,[],[f41,f33]) ).
fof(f33,plain,
~ greater(capability(sK0,sK2),capability(sK0,sK1)),
inference(cnf_transformation,[],[f29]) ).
fof(f41,plain,
! [X2,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(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ( ( capability(X0,X2) = capability(X0,X1)
| internal_friction(X0,X2) != internal_friction(X0,X1)
| 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))
| ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(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(flattening,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ( ( capability(X0,X2) = capability(X0,X1)
| internal_friction(X0,X2) != internal_friction(X0,X1)
| 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))
| ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(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,[],[f14]) ).
fof(f14,plain,
! [X0,X1,X2] :
( organization(X0)
=> ( ( ( internal_friction(X0,X2) = internal_friction(X0,X1)
& stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1) )
=> capability(X0,X2) = capability(X0,X1) )
& ( ( greater(internal_friction(X0,X2),internal_friction(X0,X1))
& smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(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)
=> ( ( ( 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)) )
& ( ( 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/sandbox2/benchmark/theBenchmark.p',assumption_5) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT044+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 03:53:25 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (24715)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (24718)WARNING: value z3 for option sas not known
% 0.13/0.37 % (24719)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (24716)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (24717)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (24718)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (24720)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.37 % (24721)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.37 % (24722)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.37 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [4]
% 0.13/0.38 % (24718)First to succeed.
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 % (24721)Also succeeded, but the first one will report.
% 0.13/0.38 % (24718)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38 % (24718)------------------------------
% 0.13/0.38 % (24718)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.38 % (24718)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (24718)Memory used [KB]: 896
% 0.13/0.38 % (24718)Time elapsed: 0.010 s
% 0.13/0.38 % (24718)Instructions burned: 12 (million)
% 0.13/0.38 % (24718)------------------------------
% 0.13/0.38 % (24718)------------------------------
% 0.13/0.38 % (24715)Success in time 0.015 s
%------------------------------------------------------------------------------