TSTP Solution File: MGT022+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : MGT022+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 : 600s
% DateTime : Sun Jul 17 22:26:14 EDT 2022
% Result : Theorem 0.18s 0.42s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 22 ( 6 unt; 2 nHn; 22 RR)
% Number of literals : 53 ( 0 equ; 35 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
environment(skc2),
file('MGT022+1.p',unknown),
[] ).
cnf(2,axiom,
subpopulations(first_movers,efficient_producers,skc2,skc3),
file('MGT022+1.p',unknown),
[] ).
cnf(3,axiom,
greater(resilience(efficient_producers),resilience(first_movers)),
file('MGT022+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ decreases(u)
| ~ constant(u) ),
file('MGT022+1.p',unknown),
[] ).
cnf(5,axiom,
( decreases(resources(u,v))
| skP0(v,u) ),
file('MGT022+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ skP0(skc3,skc2)
| constant(resources(skc2,skc3)) ),
file('MGT022+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ skP0(skc3,skc2)
| decreases(difference(disbanding_rate(first_movers,skc3),disbanding_rate(efficient_producers,skc3))) ),
file('MGT022+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ increases(difference(disbanding_rate(first_movers,u),disbanding_rate(efficient_producers,u)))
| skP0(u,v) ),
file('MGT022+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ environment(u)
| ~ constant(resources(u,v))
| ~ greater(resilience(w),resilience(x))
| ~ subpopulations(x,w,u,v)
| constant(difference(disbanding_rate(x,v),disbanding_rate(w,v))) ),
file('MGT022+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ environment(u)
| ~ decreases(resources(u,v))
| ~ greater(resilience(w),resilience(x))
| ~ subpopulations(x,w,u,v)
| increases(difference(disbanding_rate(x,v),disbanding_rate(w,v))) ),
file('MGT022+1.p',unknown),
[] ).
cnf(18,plain,
( ~ environment(u)
| ~ decreases(resources(u,v))
| ~ subpopulations(first_movers,efficient_producers,u,v)
| increases(difference(disbanding_rate(first_movers,v),disbanding_rate(efficient_producers,v))) ),
inference(res,[status(thm),theory(equality)],[3,10]),
[iquote('0:Res:3.0,10.2')] ).
cnf(19,plain,
( ~ environment(u)
| ~ skP0(skc3,skc2)
| ~ subpopulations(first_movers,efficient_producers,u,skc3)
| ~ greater(resilience(efficient_producers),resilience(first_movers))
| ~ constant(resources(u,skc3)) ),
inference(ems,[status(thm)],[4,7,9]),
[iquote('0:EmS:4.0,4.1,7.1,9.4')] ).
cnf(21,plain,
( ~ environment(u)
| ~ skP0(skc3,skc2)
| ~ subpopulations(first_movers,efficient_producers,u,skc3)
| ~ constant(resources(u,skc3)) ),
inference(mrr,[status(thm)],[19,3]),
[iquote('0:MRR:19.3,3.0')] ).
cnf(22,plain,
( ~ environment(skc2)
| ~ skP0(skc3,skc2)
| ~ constant(resources(skc2,skc3)) ),
inference(res,[status(thm),theory(equality)],[2,21]),
[iquote('0:Res:2.0,21.2')] ).
cnf(23,plain,
( ~ skP0(skc3,skc2)
| ~ constant(resources(skc2,skc3)) ),
inference(ssi,[status(thm)],[22,1]),
[iquote('0:SSi:22.0,1.0')] ).
cnf(24,plain,
~ skP0(skc3,skc2),
inference(mrr,[status(thm)],[23,6]),
[iquote('0:MRR:23.1,6.1')] ).
cnf(25,plain,
( ~ environment(skc2)
| ~ decreases(resources(skc2,skc3))
| increases(difference(disbanding_rate(first_movers,skc3),disbanding_rate(efficient_producers,skc3))) ),
inference(res,[status(thm),theory(equality)],[2,18]),
[iquote('0:Res:2.0,18.2')] ).
cnf(26,plain,
( ~ decreases(resources(skc2,skc3))
| increases(difference(disbanding_rate(first_movers,skc3),disbanding_rate(efficient_producers,skc3))) ),
inference(ssi,[status(thm)],[25,1]),
[iquote('0:SSi:25.0,1.0')] ).
cnf(27,plain,
( ~ decreases(resources(skc2,skc3))
| skP0(skc3,u) ),
inference(res,[status(thm),theory(equality)],[26,8]),
[iquote('0:Res:26.1,8.0')] ).
cnf(30,plain,
( skP0(skc3,skc2)
| skP0(skc3,u) ),
inference(res,[status(thm),theory(equality)],[5,27]),
[iquote('0:Res:5.0,27.0')] ).
cnf(31,plain,
skP0(skc3,skc2),
inference(con,[status(thm)],[30]),
[iquote('0:Con:30.1')] ).
cnf(32,plain,
$false,
inference(mrr,[status(thm)],[31,24]),
[iquote('0:MRR:31.0,24.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : MGT022+1 : TPTP v8.1.0. Released v2.0.0.
% 0.00/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n029.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 : 600
% 0.12/0.33 % DateTime : Thu Jun 9 11:37:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.42
% 0.18/0.42 SPASS V 3.9
% 0.18/0.42 SPASS beiseite: Proof found.
% 0.18/0.42 % SZS status Theorem
% 0.18/0.42 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.42 SPASS derived 9 clauses, backtracked 0 clauses, performed 0 splits and kept 18 clauses.
% 0.18/0.42 SPASS allocated 97607 KBytes.
% 0.18/0.42 SPASS spent 0:00:00.08 on the problem.
% 0.18/0.42 0:00:00.03 for the input.
% 0.18/0.42 0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.42 0:00:00.00 for inferences.
% 0.18/0.42 0:00:00.00 for the backtracking.
% 0.18/0.42 0:00:00.00 for the reduction.
% 0.18/0.42
% 0.18/0.42
% 0.18/0.42 Here is a proof with depth 4, length 22 :
% 0.18/0.42 % SZS output start Refutation
% See solution above
% 0.18/0.42 Formulae used in the proof : prove_l4 a2 mp_constant_not_decrease a5
% 0.18/0.42
%------------------------------------------------------------------------------