TSTP Solution File: MGT036+3 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : MGT036+3 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n025.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 22:23:26 EDT 2022
% Result : Theorem 0.17s 0.51s
% Output : Refutation 0.17s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
fof(a13_star,plain,
? [E,T] :
( environment(E)
& subpopulations(first_movers,efficient_producers,E,T)
& greater_or_equal(growth_rate(first_movers,T),zero)
& greater(zero,growth_rate(efficient_producers,T)) ),
input ).
fof(c4,plain,
? [X4,X5] :
( environment(X4)
& subpopulations(first_movers,efficient_producers,X4,X5)
& greater_or_equal(growth_rate(first_movers,X5),zero)
& greater(zero,growth_rate(efficient_producers,X5)) ),
inference(variable_rename,status(thm),[a13_star]) ).
fof(c5,plain,
( environment(skolem0001)
& subpopulations(first_movers,efficient_producers,skolem0001,skolem0002)
& greater_or_equal(growth_rate(first_movers,skolem0002),zero)
& greater(zero,growth_rate(efficient_producers,skolem0002)) ),
inference(skolemize,status(esa),[c4]) ).
cnf(c6,plain,
environment(skolem0001),
inference(split_conjunct,status(thm),[c5]) ).
cnf(c7,plain,
subpopulations(first_movers,efficient_producers,skolem0001,skolem0002),
inference(split_conjunct,status(thm),[c5]) ).
fof(prove_t5_star,conjecture,
? [E,T] :
( environment(E)
& subpopulations(first_movers,efficient_producers,E,T)
& outcompetes(first_movers,efficient_producers,T) ),
input ).
fof(c0,negated_conjecture,
~ ? [E,T] :
( environment(E)
& subpopulations(first_movers,efficient_producers,E,T)
& outcompetes(first_movers,efficient_producers,T) ),
inference(assume_negation,status(cth),[prove_t5_star]) ).
fof(c1,negated_conjecture,
! [E,T] :
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| ~ outcompetes(first_movers,efficient_producers,T) ),
inference(fof_nnf,status(thm),[c0]) ).
fof(c2,negated_conjecture,
! [X2,X3] :
( ~ environment(X2)
| ~ subpopulations(first_movers,efficient_producers,X2,X3)
| ~ outcompetes(first_movers,efficient_producers,X3) ),
inference(variable_rename,status(thm),[c1]) ).
cnf(c3,negated_conjecture,
( ~ environment(X18)
| ~ subpopulations(first_movers,efficient_producers,X18,X19)
| ~ outcompetes(first_movers,efficient_producers,X19) ),
inference(split_conjunct,status(thm),[c2]) ).
cnf(c20,plain,
( ~ environment(skolem0001)
| ~ outcompetes(first_movers,efficient_producers,skolem0002) ),
inference(resolution,status(thm),[c3,c7]) ).
fof(mp_symmetry_of_subpopulations,axiom,
! [E,S1,S2,T] :
( ( environment(E)
& subpopulations(S1,S2,E,T) )
=> subpopulations(S2,S1,E,T) ),
input ).
fof(c16,axiom,
! [E,S1,S2,T] :
( ~ environment(E)
| ~ subpopulations(S1,S2,E,T)
| subpopulations(S2,S1,E,T) ),
inference(fof_nnf,status(thm),[mp_symmetry_of_subpopulations]) ).
fof(c17,axiom,
! [X10,X11,X12,X13] :
( ~ environment(X10)
| ~ subpopulations(X11,X12,X10,X13)
| subpopulations(X12,X11,X10,X13) ),
inference(variable_rename,status(thm),[c16]) ).
cnf(c18,axiom,
( ~ environment(X14)
| ~ subpopulations(X16,X17,X14,X15)
| subpopulations(X17,X16,X14,X15) ),
inference(split_conjunct,status(thm),[c17]) ).
cnf(c19,plain,
( ~ environment(skolem0001)
| subpopulations(efficient_producers,first_movers,skolem0001,skolem0002) ),
inference(resolution,status(thm),[c18,c7]) ).
cnf(c21,plain,
subpopulations(efficient_producers,first_movers,skolem0001,skolem0002),
inference(resolution,status(thm),[c19,c6]) ).
cnf(c8,plain,
greater_or_equal(growth_rate(first_movers,skolem0002),zero),
inference(split_conjunct,status(thm),[c5]) ).
cnf(c9,plain,
greater(zero,growth_rate(efficient_producers,skolem0002)),
inference(split_conjunct,status(thm),[c5]) ).
fof(d2,plain,
! [E,S1,S2,T] :
( ( environment(E)
& subpopulations(S1,S2,E,T) )
=> ( ( greater_or_equal(growth_rate(S2,T),zero)
& greater(zero,growth_rate(S1,T)) )
<=> outcompetes(S2,S1,T) ) ),
input ).
fof(c10,plain,
! [E,S1,S2,T] :
( ~ environment(E)
| ~ subpopulations(S1,S2,E,T)
| ( ( ~ greater_or_equal(growth_rate(S2,T),zero)
| ~ greater(zero,growth_rate(S1,T))
| outcompetes(S2,S1,T) )
& ( ~ outcompetes(S2,S1,T)
| ( greater_or_equal(growth_rate(S2,T),zero)
& greater(zero,growth_rate(S1,T)) ) ) ) ),
inference(fof_nnf,status(thm),[d2]) ).
fof(c11,plain,
! [X6,X7,X8,X9] :
( ~ environment(X6)
| ~ subpopulations(X7,X8,X6,X9)
| ( ( ~ greater_or_equal(growth_rate(X8,X9),zero)
| ~ greater(zero,growth_rate(X7,X9))
| outcompetes(X8,X7,X9) )
& ( ~ outcompetes(X8,X7,X9)
| ( greater_or_equal(growth_rate(X8,X9),zero)
& greater(zero,growth_rate(X7,X9)) ) ) ) ),
inference(variable_rename,status(thm),[c10]) ).
fof(c12,plain,
! [X6,X7,X8,X9] :
( ( ~ environment(X6)
| ~ subpopulations(X7,X8,X6,X9)
| ~ greater_or_equal(growth_rate(X8,X9),zero)
| ~ greater(zero,growth_rate(X7,X9))
| outcompetes(X8,X7,X9) )
& ( ~ environment(X6)
| ~ subpopulations(X7,X8,X6,X9)
| ~ outcompetes(X8,X7,X9)
| greater_or_equal(growth_rate(X8,X9),zero) )
& ( ~ environment(X6)
| ~ subpopulations(X7,X8,X6,X9)
| ~ outcompetes(X8,X7,X9)
| greater(zero,growth_rate(X7,X9)) ) ),
inference(distribute,status(thm),[c11]) ).
cnf(c13,plain,
( ~ environment(X27)
| ~ subpopulations(X24,X25,X27,X26)
| ~ greater_or_equal(growth_rate(X25,X26),zero)
| ~ greater(zero,growth_rate(X24,X26))
| outcompetes(X25,X24,X26) ),
inference(split_conjunct,status(thm),[c12]) ).
cnf(c25,plain,
( ~ environment(X33)
| ~ subpopulations(efficient_producers,X32,X33,skolem0002)
| ~ greater_or_equal(growth_rate(X32,skolem0002),zero)
| outcompetes(X32,efficient_producers,skolem0002) ),
inference(resolution,status(thm),[c13,c9]) ).
cnf(c28,plain,
( ~ environment(X34)
| ~ subpopulations(efficient_producers,first_movers,X34,skolem0002)
| outcompetes(first_movers,efficient_producers,skolem0002) ),
inference(resolution,status(thm),[c25,c8]) ).
cnf(c29,plain,
( ~ environment(skolem0001)
| outcompetes(first_movers,efficient_producers,skolem0002) ),
inference(resolution,status(thm),[c28,c21]) ).
cnf(c30,plain,
outcompetes(first_movers,efficient_producers,skolem0002),
inference(resolution,status(thm),[c29,c6]) ).
cnf(c31,plain,
~ environment(skolem0001),
inference(resolution,status(thm),[c30,c20]) ).
cnf(c32,plain,
$false,
inference(resolution,status(thm),[c31,c6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : MGT036+3 : TPTP v8.1.0. Released v2.0.0.
% 0.02/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.32 % Computer : n025.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Thu Jun 9 07:44:05 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.17/0.51 # Version: 1.3
% 0.17/0.51 # SZS status Theorem
% 0.17/0.51 # SZS output start CNFRefutation
% See solution above
% 0.17/0.51
% 0.17/0.51 # Initial clauses : 9
% 0.17/0.51 # Processed clauses : 19
% 0.17/0.51 # Factors computed : 0
% 0.17/0.51 # Resolvents computed: 14
% 0.17/0.51 # Tautologies deleted: 0
% 0.17/0.51 # Forward subsumed : 3
% 0.17/0.51 # Backward subsumed : 6
% 0.17/0.51 # -------- CPU Time ---------
% 0.17/0.51 # User time : 0.170 s
% 0.17/0.51 # System time : 0.017 s
% 0.17/0.51 # Total time : 0.187 s
%------------------------------------------------------------------------------