TSTP Solution File: MGT022+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : MGT022+1 : TPTP v8.1.0. Released v2.0.0.
% 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 17:50:56 EDT 2022
% Result : Theorem 0.15s 0.47s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 49 ( 5 unt; 0 def)
% Number of atoms : 166 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 183 ( 66 ~; 58 |; 38 &)
% ( 4 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 5 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 45 ( 37 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f58,plain,
$false,
inference(avatar_sat_refutation,[],[f34,f39,f44,f45,f52,f57]) ).
fof(f57,plain,
( ~ spl2_2
| ~ spl2_3 ),
inference(avatar_contradiction_clause,[],[f56]) ).
fof(f56,plain,
( $false
| ~ spl2_2
| ~ spl2_3 ),
inference(subsumption_resolution,[],[f55,f38]) ).
fof(f38,plain,
( constant(resources(sK0,sK1))
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f36,plain,
( spl2_3
<=> constant(resources(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f55,plain,
( ~ constant(resources(sK0,sK1))
| ~ spl2_2 ),
inference(subsumption_resolution,[],[f54,f25]) ).
fof(f25,plain,
environment(sK0),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
( environment(sK0)
& ( ( decreases(resources(sK0,sK1))
& ~ increases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1))) )
| ( decreases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)))
& constant(resources(sK0,sK1)) ) )
& subpopulations(first_movers,efficient_producers,sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f13,f14]) ).
fof(f14,plain,
( ? [X0,X1] :
( environment(X0)
& ( ( decreases(resources(X0,X1))
& ~ increases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) )
| ( decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
& constant(resources(X0,X1)) ) )
& subpopulations(first_movers,efficient_producers,X0,X1) )
=> ( environment(sK0)
& ( ( decreases(resources(sK0,sK1))
& ~ increases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1))) )
| ( decreases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)))
& constant(resources(sK0,sK1)) ) )
& subpopulations(first_movers,efficient_producers,sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
? [X0,X1] :
( environment(X0)
& ( ( decreases(resources(X0,X1))
& ~ increases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) )
| ( decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
& constant(resources(X0,X1)) ) )
& subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(rectify,[],[f9]) ).
fof(f9,plain,
? [X1,X0] :
( environment(X1)
& ( ( decreases(resources(X1,X0))
& ~ increases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))) )
| ( decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)))
& constant(resources(X1,X0)) ) )
& subpopulations(first_movers,efficient_producers,X1,X0) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
? [X1,X0] :
( ( ( decreases(resources(X1,X0))
& ~ increases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))) )
| ( decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)))
& constant(resources(X1,X0)) ) )
& environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
~ ! [X1,X0] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X0) )
=> ( ( constant(resources(X1,X0))
=> ~ decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))) )
& ( decreases(resources(X1,X0))
=> increases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))) ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,negated_conjecture,
~ ! [X4,X1] :
( ( subpopulations(first_movers,efficient_producers,X1,X4)
& environment(X1) )
=> ( ( constant(resources(X1,X4))
=> ~ decreases(difference(disbanding_rate(first_movers,X4),disbanding_rate(efficient_producers,X4))) )
& ( decreases(resources(X1,X4))
=> increases(difference(disbanding_rate(first_movers,X4),disbanding_rate(efficient_producers,X4))) ) ) ),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
! [X4,X1] :
( ( subpopulations(first_movers,efficient_producers,X1,X4)
& environment(X1) )
=> ( ( constant(resources(X1,X4))
=> ~ decreases(difference(disbanding_rate(first_movers,X4),disbanding_rate(efficient_producers,X4))) )
& ( decreases(resources(X1,X4))
=> increases(difference(disbanding_rate(first_movers,X4),disbanding_rate(efficient_producers,X4))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l4) ).
fof(f54,plain,
( ~ environment(sK0)
| ~ constant(resources(sK0,sK1))
| ~ spl2_2 ),
inference(subsumption_resolution,[],[f53,f46]) ).
fof(f46,plain,
( ~ constant(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)))
| ~ spl2_2 ),
inference(resolution,[],[f33,f19]) ).
fof(f19,plain,
! [X0] :
( ~ decreases(X0)
| ~ constant(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0] :
( ~ decreases(X0)
| ~ constant(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( constant(X0)
=> ~ decreases(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_constant_not_decrease) ).
fof(f33,plain,
( decreases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)))
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f31,plain,
( spl2_2
<=> decreases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f53,plain,
( constant(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)))
| ~ constant(resources(sK0,sK1))
| ~ environment(sK0) ),
inference(resolution,[],[f48,f20]) ).
fof(f20,plain,
subpopulations(first_movers,efficient_producers,sK0,sK1),
inference(cnf_transformation,[],[f15]) ).
fof(f48,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X1,X0)
| ~ environment(X1)
| ~ constant(resources(X1,X0))
| constant(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))) ),
inference(resolution,[],[f17,f18]) ).
fof(f18,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2) ).
fof(f17,plain,
! [X2,X3,X0,X1] :
( ~ greater(resilience(X2),resilience(X1))
| constant(difference(disbanding_rate(X1,X0),disbanding_rate(X2,X0)))
| ~ environment(X3)
| ~ subpopulations(X1,X2,X3,X0)
| ~ constant(resources(X3,X0)) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1,X2,X3] :
( ~ subpopulations(X1,X2,X3,X0)
| ~ environment(X3)
| ( ( ~ constant(resources(X3,X0))
| constant(difference(disbanding_rate(X1,X0),disbanding_rate(X2,X0))) )
& ( increases(difference(disbanding_rate(X1,X0),disbanding_rate(X2,X0)))
| ~ decreases(resources(X3,X0)) ) )
| ~ greater(resilience(X2),resilience(X1)) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
! [X3,X1,X2,X0] :
( ( ( ~ constant(resources(X3,X0))
| constant(difference(disbanding_rate(X1,X0),disbanding_rate(X2,X0))) )
& ( increases(difference(disbanding_rate(X1,X0),disbanding_rate(X2,X0)))
| ~ decreases(resources(X3,X0)) ) )
| ~ greater(resilience(X2),resilience(X1))
| ~ environment(X3)
| ~ subpopulations(X1,X2,X3,X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
! [X3,X1,X2,X0] :
( ( greater(resilience(X2),resilience(X1))
& environment(X3)
& subpopulations(X1,X2,X3,X0) )
=> ( ( decreases(resources(X3,X0))
=> increases(difference(disbanding_rate(X1,X0),disbanding_rate(X2,X0))) )
& ( constant(resources(X3,X0))
=> constant(difference(disbanding_rate(X1,X0),disbanding_rate(X2,X0))) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X4,X2,X3,X1] :
( ( greater(resilience(X3),resilience(X2))
& subpopulations(X2,X3,X1,X4)
& environment(X1) )
=> ( ( constant(resources(X1,X4))
=> constant(difference(disbanding_rate(X2,X4),disbanding_rate(X3,X4))) )
& ( decreases(resources(X1,X4))
=> increases(difference(disbanding_rate(X2,X4),disbanding_rate(X3,X4))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5) ).
fof(f52,plain,
( ~ spl2_4
| spl2_1 ),
inference(avatar_split_clause,[],[f51,f27,f41]) ).
fof(f41,plain,
( spl2_4
<=> decreases(resources(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f27,plain,
( spl2_1
<=> increases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f51,plain,
( ~ decreases(resources(sK0,sK1))
| spl2_1 ),
inference(subsumption_resolution,[],[f50,f25]) ).
fof(f50,plain,
( ~ decreases(resources(sK0,sK1))
| ~ environment(sK0)
| spl2_1 ),
inference(subsumption_resolution,[],[f49,f29]) ).
fof(f29,plain,
( ~ increases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)))
| spl2_1 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f49,plain,
( ~ decreases(resources(sK0,sK1))
| increases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)))
| ~ environment(sK0) ),
inference(resolution,[],[f47,f20]) ).
fof(f47,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X1,X0)
| ~ decreases(resources(X1,X0))
| increases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)))
| ~ environment(X1) ),
inference(resolution,[],[f16,f18]) ).
fof(f16,plain,
! [X2,X3,X0,X1] :
( ~ greater(resilience(X2),resilience(X1))
| increases(difference(disbanding_rate(X1,X0),disbanding_rate(X2,X0)))
| ~ environment(X3)
| ~ decreases(resources(X3,X0))
| ~ subpopulations(X1,X2,X3,X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f45,plain,
( spl2_2
| spl2_4 ),
inference(avatar_split_clause,[],[f24,f41,f31]) ).
fof(f24,plain,
( decreases(resources(sK0,sK1))
| decreases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1))) ),
inference(cnf_transformation,[],[f15]) ).
fof(f44,plain,
( spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f23,f41,f36]) ).
fof(f23,plain,
( decreases(resources(sK0,sK1))
| constant(resources(sK0,sK1)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f39,plain,
( ~ spl2_1
| spl2_3 ),
inference(avatar_split_clause,[],[f21,f36,f27]) ).
fof(f21,plain,
( constant(resources(sK0,sK1))
| ~ increases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1))) ),
inference(cnf_transformation,[],[f15]) ).
fof(f34,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f22,f31,f27]) ).
fof(f22,plain,
( decreases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)))
| ~ increases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1))) ),
inference(cnf_transformation,[],[f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : MGT022+1 : TPTP v8.1.0. Released v2.0.0.
% 0.00/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.31 % Computer : n028.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 30 03:21:18 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.15/0.46 % (29646)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.46 % (29646)First to succeed.
% 0.15/0.47 % (29646)Refutation found. Thanks to Tanya!
% 0.15/0.47 % SZS status Theorem for theBenchmark
% 0.15/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.47 % (29646)------------------------------
% 0.15/0.47 % (29646)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47 % (29646)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.47 % (29646)Termination reason: Refutation
% 0.15/0.47
% 0.15/0.47 % (29646)Memory used [KB]: 5884
% 0.15/0.47 % (29646)Time elapsed: 0.094 s
% 0.15/0.47 % (29646)Instructions burned: 2 (million)
% 0.15/0.47 % (29646)------------------------------
% 0.15/0.47 % (29646)------------------------------
% 0.15/0.47 % (29631)Success in time 0.151 s
%------------------------------------------------------------------------------