TSTP Solution File: MGT022+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : MGT022+2 : 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_sat --cores 0 -t %d %s
% Computer : n011.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 17:51:24 EDT 2022
% Result : Theorem 0.21s 0.56s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 51 ( 5 unt; 0 def)
% Number of atoms : 174 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 190 ( 67 ~; 62 |; 39 &)
% ( 5 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 6 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 45 ( 37 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f66,plain,
$false,
inference(avatar_sat_refutation,[],[f35,f40,f45,f46,f55,f57,f64]) ).
fof(f64,plain,
( ~ spl2_1
| spl2_4 ),
inference(avatar_contradiction_clause,[],[f63]) ).
fof(f63,plain,
( $false
| ~ spl2_1
| spl2_4 ),
inference(subsumption_resolution,[],[f62,f30]) ).
fof(f30,plain,
( decreases(resources(sK1,sK0))
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f28,plain,
( spl2_1
<=> decreases(resources(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f62,plain,
( ~ decreases(resources(sK1,sK0))
| spl2_4 ),
inference(subsumption_resolution,[],[f61,f26]) ).
fof(f26,plain,
environment(sK1),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
( environment(sK1)
& ( ( decreases(difference(disbanding_rate(first_movers,sK0),disbanding_rate(efficient_producers,sK0)))
& constant(resources(sK1,sK0)) )
| ( ~ increases(difference(disbanding_rate(first_movers,sK0),disbanding_rate(efficient_producers,sK0)))
& decreases(resources(sK1,sK0)) ) )
& subpopulations(first_movers,efficient_producers,sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f14,f15]) ).
fof(f15,plain,
( ? [X0,X1] :
( environment(X1)
& ( ( decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)))
& constant(resources(X1,X0)) )
| ( ~ increases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)))
& decreases(resources(X1,X0)) ) )
& subpopulations(first_movers,efficient_producers,X1,X0) )
=> ( environment(sK1)
& ( ( decreases(difference(disbanding_rate(first_movers,sK0),disbanding_rate(efficient_producers,sK0)))
& constant(resources(sK1,sK0)) )
| ( ~ increases(difference(disbanding_rate(first_movers,sK0),disbanding_rate(efficient_producers,sK0)))
& decreases(resources(sK1,sK0)) ) )
& subpopulations(first_movers,efficient_producers,sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
? [X0,X1] :
( environment(X1)
& ( ( decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)))
& constant(resources(X1,X0)) )
| ( ~ increases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)))
& decreases(resources(X1,X0)) ) )
& subpopulations(first_movers,efficient_producers,X1,X0) ),
inference(rectify,[],[f12]) ).
fof(f12,plain,
? [X1,X0] :
( environment(X0)
& ( ( decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
& constant(resources(X0,X1)) )
| ( ~ increases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
& decreases(resources(X0,X1)) ) )
& subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(flattening,[],[f11]) ).
fof(f11,plain,
? [X1,X0] :
( ( ( decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
& constant(resources(X0,X1)) )
| ( ~ increases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
& decreases(resources(X0,X1)) ) )
& subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
~ ! [X1,X0] :
( ( subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> ( ( constant(resources(X0,X1))
=> ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) )
& ( decreases(resources(X0,X1))
=> increases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,negated_conjecture,
~ ! [X1,X4] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X4) )
=> ( ( decreases(resources(X1,X4))
=> increases(difference(disbanding_rate(first_movers,X4),disbanding_rate(efficient_producers,X4))) )
& ( constant(resources(X1,X4))
=> ~ decreases(difference(disbanding_rate(first_movers,X4),disbanding_rate(efficient_producers,X4))) ) ) ),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
! [X1,X4] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X4) )
=> ( ( decreases(resources(X1,X4))
=> increases(difference(disbanding_rate(first_movers,X4),disbanding_rate(efficient_producers,X4))) )
& ( constant(resources(X1,X4))
=> ~ decreases(difference(disbanding_rate(first_movers,X4),disbanding_rate(efficient_producers,X4))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l4) ).
fof(f61,plain,
( ~ environment(sK1)
| ~ decreases(resources(sK1,sK0))
| spl2_4 ),
inference(subsumption_resolution,[],[f60,f44]) ).
fof(f44,plain,
( ~ increases(difference(disbanding_rate(first_movers,sK0),disbanding_rate(efficient_producers,sK0)))
| spl2_4 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f42,plain,
( spl2_4
<=> increases(difference(disbanding_rate(first_movers,sK0),disbanding_rate(efficient_producers,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f60,plain,
( increases(difference(disbanding_rate(first_movers,sK0),disbanding_rate(efficient_producers,sK0)))
| ~ environment(sK1)
| ~ decreases(resources(sK1,sK0)) ),
inference(subsumption_resolution,[],[f59,f20]) ).
fof(f20,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(f59,plain,
( ~ greater(resilience(efficient_producers),resilience(first_movers))
| increases(difference(disbanding_rate(first_movers,sK0),disbanding_rate(efficient_producers,sK0)))
| ~ decreases(resources(sK1,sK0))
| ~ environment(sK1) ),
inference(resolution,[],[f18,f21]) ).
fof(f21,plain,
subpopulations(first_movers,efficient_producers,sK1,sK0),
inference(cnf_transformation,[],[f16]) ).
fof(f18,plain,
! [X2,X3,X0,X1] :
( increases(difference(disbanding_rate(X1,X3),disbanding_rate(X2,X3)))
| ~ subpopulations(X1,X2,X0,X3)
| ~ greater(resilience(X2),resilience(X1))
| ~ decreases(resources(X0,X3))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1,X2,X3] :
( ~ greater(resilience(X2),resilience(X1))
| ( ( ~ decreases(resources(X0,X3))
| increases(difference(disbanding_rate(X1,X3),disbanding_rate(X2,X3))) )
& ( constant(difference(disbanding_rate(X1,X3),disbanding_rate(X2,X3)))
| ~ constant(resources(X0,X3)) ) )
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(rectify,[],[f10]) ).
fof(f10,plain,
! [X1,X3,X2,X0] :
( ~ greater(resilience(X2),resilience(X3))
| ( ( ~ decreases(resources(X1,X0))
| increases(difference(disbanding_rate(X3,X0),disbanding_rate(X2,X0))) )
& ( constant(difference(disbanding_rate(X3,X0),disbanding_rate(X2,X0)))
| ~ constant(resources(X1,X0)) ) )
| ~ subpopulations(X3,X2,X1,X0)
| ~ environment(X1) ),
inference(flattening,[],[f9]) ).
fof(f9,plain,
! [X3,X1,X2,X0] :
( ( ( ~ decreases(resources(X1,X0))
| increases(difference(disbanding_rate(X3,X0),disbanding_rate(X2,X0))) )
& ( constant(difference(disbanding_rate(X3,X0),disbanding_rate(X2,X0)))
| ~ constant(resources(X1,X0)) ) )
| ~ environment(X1)
| ~ greater(resilience(X2),resilience(X3))
| ~ subpopulations(X3,X2,X1,X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
! [X3,X1,X2,X0] :
( ( environment(X1)
& greater(resilience(X2),resilience(X3))
& subpopulations(X3,X2,X1,X0) )
=> ( ( constant(resources(X1,X0))
=> constant(difference(disbanding_rate(X3,X0),disbanding_rate(X2,X0))) )
& ( decreases(resources(X1,X0))
=> increases(difference(disbanding_rate(X3,X0),disbanding_rate(X2,X0))) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X4,X1,X3,X2] :
( ( greater(resilience(X3),resilience(X2))
& subpopulations(X2,X3,X1,X4)
& environment(X1) )
=> ( ( decreases(resources(X1,X4))
=> increases(difference(disbanding_rate(X2,X4),disbanding_rate(X3,X4))) )
& ( constant(resources(X1,X4))
=> constant(difference(disbanding_rate(X2,X4),disbanding_rate(X3,X4))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a6) ).
fof(f57,plain,
( ~ spl2_3
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f56,f52,f37]) ).
fof(f37,plain,
( spl2_3
<=> decreases(difference(disbanding_rate(first_movers,sK0),disbanding_rate(efficient_producers,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f52,plain,
( spl2_5
<=> constant(difference(disbanding_rate(first_movers,sK0),disbanding_rate(efficient_producers,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f56,plain,
( ~ decreases(difference(disbanding_rate(first_movers,sK0),disbanding_rate(efficient_producers,sK0)))
| ~ spl2_5 ),
inference(resolution,[],[f54,f19]) ).
fof(f19,plain,
! [X0] :
( ~ constant(X0)
| ~ decreases(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f8,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(f54,plain,
( constant(difference(disbanding_rate(first_movers,sK0),disbanding_rate(efficient_producers,sK0)))
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f55,plain,
( spl2_5
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f50,f32,f52]) ).
fof(f32,plain,
( spl2_2
<=> constant(resources(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f50,plain,
( ~ constant(resources(sK1,sK0))
| constant(difference(disbanding_rate(first_movers,sK0),disbanding_rate(efficient_producers,sK0))) ),
inference(subsumption_resolution,[],[f49,f26]) ).
fof(f49,plain,
( constant(difference(disbanding_rate(first_movers,sK0),disbanding_rate(efficient_producers,sK0)))
| ~ environment(sK1)
| ~ constant(resources(sK1,sK0)) ),
inference(subsumption_resolution,[],[f47,f20]) ).
fof(f47,plain,
( ~ constant(resources(sK1,sK0))
| constant(difference(disbanding_rate(first_movers,sK0),disbanding_rate(efficient_producers,sK0)))
| ~ greater(resilience(efficient_producers),resilience(first_movers))
| ~ environment(sK1) ),
inference(resolution,[],[f17,f21]) ).
fof(f17,plain,
! [X2,X3,X0,X1] :
( ~ subpopulations(X1,X2,X0,X3)
| constant(difference(disbanding_rate(X1,X3),disbanding_rate(X2,X3)))
| ~ greater(resilience(X2),resilience(X1))
| ~ environment(X0)
| ~ constant(resources(X0,X3)) ),
inference(cnf_transformation,[],[f13]) ).
fof(f46,plain,
( spl2_2
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f23,f42,f32]) ).
fof(f23,plain,
( ~ increases(difference(disbanding_rate(first_movers,sK0),disbanding_rate(efficient_producers,sK0)))
| constant(resources(sK1,sK0)) ),
inference(cnf_transformation,[],[f16]) ).
fof(f45,plain,
( spl2_3
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f25,f42,f37]) ).
fof(f25,plain,
( ~ increases(difference(disbanding_rate(first_movers,sK0),disbanding_rate(efficient_producers,sK0)))
| decreases(difference(disbanding_rate(first_movers,sK0),disbanding_rate(efficient_producers,sK0))) ),
inference(cnf_transformation,[],[f16]) ).
fof(f40,plain,
( spl2_1
| spl2_3 ),
inference(avatar_split_clause,[],[f24,f37,f28]) ).
fof(f24,plain,
( decreases(difference(disbanding_rate(first_movers,sK0),disbanding_rate(efficient_producers,sK0)))
| decreases(resources(sK1,sK0)) ),
inference(cnf_transformation,[],[f16]) ).
fof(f35,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f22,f32,f28]) ).
fof(f22,plain,
( constant(resources(sK1,sK0))
| decreases(resources(sK1,sK0)) ),
inference(cnf_transformation,[],[f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : MGT022+2 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.34 % Computer : n011.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue Aug 30 03:11:40 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.21/0.53 % (3944)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)
% 0.21/0.54 TRYING [1]
% 0.21/0.54 TRYING [2]
% 0.21/0.54 TRYING [3]
% 0.21/0.55 TRYING [4]
% 0.21/0.55 % (3950)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)
% 0.21/0.55 % (3960)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)
% 0.21/0.55 % (3953)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)
% 0.21/0.56 % (3966)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)
% 0.21/0.56 % (3952)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.56 TRYING [1]
% 0.21/0.56 TRYING [5]
% 0.21/0.56 % (3967)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)
% 0.21/0.56 % (3960)First to succeed.
% 0.21/0.56 % (3960)Refutation found. Thanks to Tanya!
% 0.21/0.56 % SZS status Theorem for theBenchmark
% 0.21/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.57 % (3960)------------------------------
% 0.21/0.57 % (3960)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (3960)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (3960)Termination reason: Refutation
% 0.21/0.57
% 0.21/0.57 % (3960)Memory used [KB]: 5373
% 0.21/0.57 % (3960)Time elapsed: 0.141 s
% 0.21/0.57 % (3960)Instructions burned: 2 (million)
% 0.21/0.57 % (3960)------------------------------
% 0.21/0.57 % (3960)------------------------------
% 0.21/0.57 % (3943)Success in time 0.212 s
%------------------------------------------------------------------------------