TSTP Solution File: MGT022+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : MGT022+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n018.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 22:23:19 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
fof(mp_constant_not_decrease,axiom,
! [X] :
( constant(X)
=> ~ decreases(X) ),
input ).
fof(c18,axiom,
! [X] :
( constant(X)
=> ~ decreases(X) ),
inference(fof_simplification,status(thm),[mp_constant_not_decrease]) ).
fof(c19,axiom,
! [X] :
( ~ constant(X)
| ~ decreases(X) ),
inference(fof_nnf,status(thm),[c18]) ).
fof(c20,axiom,
! [X8] :
( ~ constant(X8)
| ~ decreases(X8) ),
inference(variable_rename,status(thm),[c19]) ).
cnf(c21,axiom,
( ~ constant(X9)
| ~ decreases(X9) ),
inference(split_conjunct,status(thm),[c20]) ).
fof(prove_l4,conjecture,
! [E,T] :
( ( environment(E)
& subpopulations(first_movers,efficient_producers,E,T) )
=> ( ( decreases(resources(E,T))
=> increases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T))) )
& ( constant(resources(E,T))
=> ~ decreases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T))) ) ) ),
input ).
fof(c0,negated_conjecture,
~ ! [E,T] :
( ( environment(E)
& subpopulations(first_movers,efficient_producers,E,T) )
=> ( ( decreases(resources(E,T))
=> increases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T))) )
& ( constant(resources(E,T))
=> ~ decreases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T))) ) ) ),
inference(assume_negation,status(cth),[prove_l4]) ).
fof(c1,negated_conjecture,
~ ! [E,T] :
( ( environment(E)
& subpopulations(first_movers,efficient_producers,E,T) )
=> ( ( decreases(resources(E,T))
=> increases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T))) )
& ( constant(resources(E,T))
=> ~ decreases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T))) ) ) ),
inference(fof_simplification,status(thm),[c0]) ).
fof(c2,negated_conjecture,
? [E,T] :
( environment(E)
& subpopulations(first_movers,efficient_producers,E,T)
& ( ( decreases(resources(E,T))
& ~ increases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T))) )
| ( constant(resources(E,T))
& decreases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T))) ) ) ),
inference(fof_nnf,status(thm),[c1]) ).
fof(c3,negated_conjecture,
? [X2,X3] :
( environment(X2)
& subpopulations(first_movers,efficient_producers,X2,X3)
& ( ( decreases(resources(X2,X3))
& ~ increases(difference(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3))) )
| ( constant(resources(X2,X3))
& decreases(difference(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3))) ) ) ),
inference(variable_rename,status(thm),[c2]) ).
fof(c4,negated_conjecture,
( environment(skolem0001)
& subpopulations(first_movers,efficient_producers,skolem0001,skolem0002)
& ( ( decreases(resources(skolem0001,skolem0002))
& ~ increases(difference(disbanding_rate(first_movers,skolem0002),disbanding_rate(efficient_producers,skolem0002))) )
| ( constant(resources(skolem0001,skolem0002))
& decreases(difference(disbanding_rate(first_movers,skolem0002),disbanding_rate(efficient_producers,skolem0002))) ) ) ),
inference(skolemize,status(esa),[c3]) ).
fof(c5,negated_conjecture,
( environment(skolem0001)
& subpopulations(first_movers,efficient_producers,skolem0001,skolem0002)
& ( decreases(resources(skolem0001,skolem0002))
| constant(resources(skolem0001,skolem0002)) )
& ( decreases(resources(skolem0001,skolem0002))
| decreases(difference(disbanding_rate(first_movers,skolem0002),disbanding_rate(efficient_producers,skolem0002))) )
& ( ~ increases(difference(disbanding_rate(first_movers,skolem0002),disbanding_rate(efficient_producers,skolem0002)))
| constant(resources(skolem0001,skolem0002)) )
& ( ~ increases(difference(disbanding_rate(first_movers,skolem0002),disbanding_rate(efficient_producers,skolem0002)))
| decreases(difference(disbanding_rate(first_movers,skolem0002),disbanding_rate(efficient_producers,skolem0002))) ) ),
inference(distribute,status(thm),[c4]) ).
cnf(c9,negated_conjecture,
( decreases(resources(skolem0001,skolem0002))
| decreases(difference(disbanding_rate(first_movers,skolem0002),disbanding_rate(efficient_producers,skolem0002))) ),
inference(split_conjunct,status(thm),[c5]) ).
cnf(c23,plain,
( decreases(difference(disbanding_rate(first_movers,skolem0002),disbanding_rate(efficient_producers,skolem0002)))
| ~ constant(resources(skolem0001,skolem0002)) ),
inference(resolution,status(thm),[c9,c21]) ).
cnf(c10,negated_conjecture,
( ~ increases(difference(disbanding_rate(first_movers,skolem0002),disbanding_rate(efficient_producers,skolem0002)))
| constant(resources(skolem0001,skolem0002)) ),
inference(split_conjunct,status(thm),[c5]) ).
cnf(c6,negated_conjecture,
environment(skolem0001),
inference(split_conjunct,status(thm),[c5]) ).
cnf(c8,negated_conjecture,
( decreases(resources(skolem0001,skolem0002))
| constant(resources(skolem0001,skolem0002)) ),
inference(split_conjunct,status(thm),[c5]) ).
cnf(c7,negated_conjecture,
subpopulations(first_movers,efficient_producers,skolem0001,skolem0002),
inference(split_conjunct,status(thm),[c5]) ).
fof(a2,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
input ).
cnf(c12,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
inference(split_conjunct,status(thm),[a2]) ).
fof(a5,plain,
! [E,S1,S2,T] :
( ( environment(E)
& subpopulations(S1,S2,E,T)
& greater(resilience(S2),resilience(S1)) )
=> ( ( decreases(resources(E,T))
=> increases(difference(disbanding_rate(S1,T),disbanding_rate(S2,T))) )
& ( constant(resources(E,T))
=> constant(difference(disbanding_rate(S1,T),disbanding_rate(S2,T))) ) ) ),
input ).
fof(c13,plain,
! [E,S1,S2,T] :
( ~ environment(E)
| ~ subpopulations(S1,S2,E,T)
| ~ greater(resilience(S2),resilience(S1))
| ( ( ~ decreases(resources(E,T))
| increases(difference(disbanding_rate(S1,T),disbanding_rate(S2,T))) )
& ( ~ constant(resources(E,T))
| constant(difference(disbanding_rate(S1,T),disbanding_rate(S2,T))) ) ) ),
inference(fof_nnf,status(thm),[a5]) ).
fof(c14,plain,
! [X4,X5,X6,X7] :
( ~ environment(X4)
| ~ subpopulations(X5,X6,X4,X7)
| ~ greater(resilience(X6),resilience(X5))
| ( ( ~ decreases(resources(X4,X7))
| increases(difference(disbanding_rate(X5,X7),disbanding_rate(X6,X7))) )
& ( ~ constant(resources(X4,X7))
| constant(difference(disbanding_rate(X5,X7),disbanding_rate(X6,X7))) ) ) ),
inference(variable_rename,status(thm),[c13]) ).
fof(c15,plain,
! [X4,X5,X6,X7] :
( ( ~ environment(X4)
| ~ subpopulations(X5,X6,X4,X7)
| ~ greater(resilience(X6),resilience(X5))
| ~ decreases(resources(X4,X7))
| increases(difference(disbanding_rate(X5,X7),disbanding_rate(X6,X7))) )
& ( ~ environment(X4)
| ~ subpopulations(X5,X6,X4,X7)
| ~ greater(resilience(X6),resilience(X5))
| ~ constant(resources(X4,X7))
| constant(difference(disbanding_rate(X5,X7),disbanding_rate(X6,X7))) ) ),
inference(distribute,status(thm),[c14]) ).
cnf(c16,plain,
( ~ environment(X10)
| ~ subpopulations(X12,X13,X10,X11)
| ~ greater(resilience(X13),resilience(X12))
| ~ decreases(resources(X10,X11))
| increases(difference(disbanding_rate(X12,X11),disbanding_rate(X13,X11))) ),
inference(split_conjunct,status(thm),[c15]) ).
cnf(c26,plain,
( ~ environment(X14)
| ~ subpopulations(first_movers,efficient_producers,X14,X15)
| ~ decreases(resources(X14,X15))
| increases(difference(disbanding_rate(first_movers,X15),disbanding_rate(efficient_producers,X15))) ),
inference(resolution,status(thm),[c16,c12]) ).
cnf(c27,plain,
( ~ environment(skolem0001)
| ~ decreases(resources(skolem0001,skolem0002))
| increases(difference(disbanding_rate(first_movers,skolem0002),disbanding_rate(efficient_producers,skolem0002))) ),
inference(resolution,status(thm),[c26,c7]) ).
cnf(c28,plain,
( ~ environment(skolem0001)
| increases(difference(disbanding_rate(first_movers,skolem0002),disbanding_rate(efficient_producers,skolem0002)))
| constant(resources(skolem0001,skolem0002)) ),
inference(resolution,status(thm),[c27,c8]) ).
cnf(c30,plain,
( increases(difference(disbanding_rate(first_movers,skolem0002),disbanding_rate(efficient_producers,skolem0002)))
| constant(resources(skolem0001,skolem0002)) ),
inference(resolution,status(thm),[c28,c6]) ).
cnf(c32,plain,
constant(resources(skolem0001,skolem0002)),
inference(resolution,status(thm),[c30,c10]) ).
cnf(c35,plain,
decreases(difference(disbanding_rate(first_movers,skolem0002),disbanding_rate(efficient_producers,skolem0002))),
inference(resolution,status(thm),[c32,c23]) ).
cnf(c36,plain,
~ constant(difference(disbanding_rate(first_movers,skolem0002),disbanding_rate(efficient_producers,skolem0002))),
inference(resolution,status(thm),[c35,c21]) ).
cnf(c17,plain,
( ~ environment(X16)
| ~ subpopulations(X18,X19,X16,X17)
| ~ greater(resilience(X19),resilience(X18))
| ~ constant(resources(X16,X17))
| constant(difference(disbanding_rate(X18,X17),disbanding_rate(X19,X17))) ),
inference(split_conjunct,status(thm),[c15]) ).
cnf(c34,plain,
( ~ environment(X20)
| ~ subpopulations(first_movers,efficient_producers,X20,X21)
| ~ constant(resources(X20,X21))
| constant(difference(disbanding_rate(first_movers,X21),disbanding_rate(efficient_producers,X21))) ),
inference(resolution,status(thm),[c17,c12]) ).
cnf(c37,plain,
( ~ environment(skolem0001)
| ~ constant(resources(skolem0001,skolem0002))
| constant(difference(disbanding_rate(first_movers,skolem0002),disbanding_rate(efficient_producers,skolem0002))) ),
inference(resolution,status(thm),[c34,c7]) ).
cnf(c38,plain,
( ~ environment(skolem0001)
| constant(difference(disbanding_rate(first_movers,skolem0002),disbanding_rate(efficient_producers,skolem0002))) ),
inference(resolution,status(thm),[c37,c32]) ).
cnf(c39,plain,
constant(difference(disbanding_rate(first_movers,skolem0002),disbanding_rate(efficient_producers,skolem0002))),
inference(resolution,status(thm),[c38,c6]) ).
cnf(c40,plain,
$false,
inference(resolution,status(thm),[c39,c36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MGT022+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 9 11:31:08 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.53 # Version: 1.3
% 0.20/0.53 # SZS status Theorem
% 0.20/0.53 # SZS output start CNFRefutation
% See solution above
% 0.20/0.53
% 0.20/0.53 # Initial clauses : 10
% 0.20/0.53 # Processed clauses : 23
% 0.20/0.53 # Factors computed : 0
% 0.20/0.53 # Resolvents computed: 19
% 0.20/0.53 # Tautologies deleted: 1
% 0.20/0.53 # Forward subsumed : 3
% 0.20/0.53 # Backward subsumed : 10
% 0.20/0.53 # -------- CPU Time ---------
% 0.20/0.53 # User time : 0.176 s
% 0.20/0.53 # System time : 0.014 s
% 0.20/0.53 # Total time : 0.190 s
%------------------------------------------------------------------------------