%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT022-2 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:11:20 PM UTC 2026
% Result : Unsatisfiable 4.65s 1.10s
% Output : Proof 4.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 47 ( 15 unt; 0 def)
% Number of atoms : 109 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 120 ( 58 ~; 62 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f2,hypothesis,
( constant(difference(disbanding_rate(B,D),disbanding_rate(C,D)))
| ~ constant(resources(A,D))
| ~ greater(resilience(C),resilience(B))
| ~ subpopulations(B,C,A,D)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_3) ).
fof(f2_nnf,plain,
! [A,B,C,D] :
( constant(difference(disbanding_rate(B,D),disbanding_rate(C,D)))
| ~ constant(resources(A,D))
| ~ greater(resilience(C),resilience(B))
| ~ subpopulations(B,C,A,D)
| ~ environment(A) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [A,B,C,D] :
( constant(difference(disbanding_rate(B,D),disbanding_rate(C,D)))
| ~ constant(resources(A,D))
| ~ greater(resilience(C),resilience(B))
| ~ subpopulations(B,C,A,D)
| ~ environment(A) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( constant(difference(disbanding_rate(X1,X3),disbanding_rate(X2,X3)))
| ~ constant(resources(X0,X3))
| ~ greater(resilience(X2),resilience(X1))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(f4,negated_conjecture,
environment(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l4_5) ).
fof(f4_nnf,plain,
environment(sk1),
inference(nnf_transformation,[status(thm)],[f4]) ).
cnf(c4,plain,
environment(sk1),
inference(cnf_transformation,[status(esa)],[f4_nnf]) ).
cnf(p11,plain,
( constant(difference(disbanding_rate(X0,X2),disbanding_rate(X1,X2)))
| ~ constant(resources(sk1,X2))
| ~ greater(resilience(X1),resilience(X0))
| ~ subpopulations(X0,X1,sk1,X2) ),
inference(resolution,[status(thm)],[c2,c4]) ).
cnf(f5,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l4_6) ).
fof(f5_nnf,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(nnf_transformation,[status(thm)],[f5]) ).
cnf(c5,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(cnf_transformation,[status(esa)],[f5_nnf]) ).
cnf(p17,plain,
( constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| ~ constant(resources(sk1,sk2))
| ~ greater(resilience(efficient_producers),resilience(first_movers)) ),
inference(resolution,[status(thm)],[p11,c5]) ).
cnf(f3,hypothesis,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_4) ).
fof(f3_nnf,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
inference(nnf_transformation,[status(thm)],[f3]) ).
cnf(c3,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
inference(cnf_transformation,[status(esa)],[f3_nnf]) ).
cnf(p20,plain,
( constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| ~ constant(resources(sk1,sk2)) ),
inference(resolution,[status(thm)],[p17,c3]) ).
cnf(f1,hypothesis,
( increases(difference(disbanding_rate(B,D),disbanding_rate(C,D)))
| ~ decreases(resources(A,D))
| ~ greater(resilience(C),resilience(B))
| ~ subpopulations(B,C,A,D)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_2) ).
fof(f1_nnf,plain,
! [A,B,C,D] :
( increases(difference(disbanding_rate(B,D),disbanding_rate(C,D)))
| ~ decreases(resources(A,D))
| ~ greater(resilience(C),resilience(B))
| ~ subpopulations(B,C,A,D)
| ~ environment(A) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [A,B,C,D] :
( increases(difference(disbanding_rate(B,D),disbanding_rate(C,D)))
| ~ decreases(resources(A,D))
| ~ greater(resilience(C),resilience(B))
| ~ subpopulations(B,C,A,D)
| ~ environment(A) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( increases(difference(disbanding_rate(X1,X3),disbanding_rate(X2,X3)))
| ~ decreases(resources(X0,X3))
| ~ greater(resilience(X2),resilience(X1))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p10,plain,
( increases(difference(disbanding_rate(X0,X2),disbanding_rate(X1,X2)))
| ~ decreases(resources(sk1,X2))
| ~ greater(resilience(X1),resilience(X0))
| ~ subpopulations(X0,X1,sk1,X2) ),
inference(resolution,[status(thm)],[c1,c4]) ).
cnf(p12,plain,
( increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| ~ decreases(resources(sk1,sk2))
| ~ greater(resilience(efficient_producers),resilience(first_movers)) ),
inference(resolution,[status(thm)],[p10,c5]) ).
cnf(p13,plain,
( increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| ~ decreases(resources(sk1,sk2)) ),
inference(resolution,[status(thm)],[p12,c3]) ).
cnf(f6,negated_conjecture,
( constant(resources(sk1,sk2))
| decreases(resources(sk1,sk2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l4_7) ).
fof(f6_nnf,plain,
( constant(resources(sk1,sk2))
| decreases(resources(sk1,sk2)) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
( constant(resources(sk1,sk2))
| decreases(resources(sk1,sk2)) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( constant(resources(sk1,sk2))
| decreases(resources(sk1,sk2)) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p14,plain,
( constant(resources(sk1,sk2))
| increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(resolution,[status(thm)],[p13,c6]) ).
cnf(f8,negated_conjecture,
( constant(resources(sk1,sk2))
| ~ increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l4_9) ).
fof(f8_nnf,plain,
( constant(resources(sk1,sk2))
| ~ increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
( constant(resources(sk1,sk2))
| ~ increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( constant(resources(sk1,sk2))
| ~ increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p15,plain,
( constant(resources(sk1,sk2))
| constant(resources(sk1,sk2)) ),
inference(resolution,[status(thm)],[p14,c8]) ).
cnf(p18,plain,
constant(resources(sk1,sk2)),
inference(factoring,[status(thm)],[p15]) ).
cnf(p21,plain,
constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),
inference(resolution,[status(thm)],[p20,p18]) ).
cnf(f0,axiom,
( ~ decreases(A)
| ~ constant(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_constant_not_decrease_1) ).
fof(f0_nnf,plain,
! [A] :
( ~ decreases(A)
| ~ constant(A) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [A] :
( ~ decreases(A)
| ~ constant(A) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( ~ decreases(X0)
| ~ constant(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p22,plain,
~ decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),
inference(resolution,[status(thm)],[p21,c0]) ).
cnf(f7,negated_conjecture,
( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| decreases(resources(sk1,sk2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l4_8) ).
fof(f7_nnf,plain,
( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| decreases(resources(sk1,sk2)) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| decreases(resources(sk1,sk2)) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| decreases(resources(sk1,sk2)) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p23,plain,
decreases(resources(sk1,sk2)),
inference(resolution,[status(thm)],[p22,c7]) ).
cnf(p19,plain,
~ decreases(resources(sk1,sk2)),
inference(resolution,[status(thm)],[p18,c0]) ).
cnf(p24,plain,
$false,
inference(resolution,[status(thm)],[p23,p19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT022-2 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 01:08:20 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.65/1.10 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.65/1.10 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------