%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT050+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n017.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 02:11:50 PM UTC 2026
% Result : Theorem 30.74s 9.94s
% Output : Proof 30.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 11
% Syntax : Number of formulae : 72 ( 14 unt; 0 def)
% Number of atoms : 249 ( 51 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 281 ( 104 ~; 112 |; 45 &)
% ( 3 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 136 ( 14 sgn 84 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X,T0,T] :
( organization(X)
=> external_ties(X,T) = external_ties(X,T0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_11) ).
fof(f11_nnf,plain,
! [X,T0,T] :
( external_ties(X,T) = external_ties(X,T0)
| ~ organization(X) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [X,T,T0] :
( external_ties(X,T) = external_ties(X,T0)
| ~ organization(X) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c21,plain,
( external_ties(X0,X2) = external_ties(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
fof(f13,conjecture,
! [X,T0,T] :
( ( greater(age(X,T),age(X,T0))
& ~ has_endowment(X)
& organization(X) )
=> greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3) ).
fof(f13_neg,negated_conjecture,
~ ! [X,T0,T] :
( ( greater(age(X,T),age(X,T0))
& ~ has_endowment(X)
& organization(X) )
=> greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f13_nnf,plain,
? [X,T0,T] :
( ~ greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0))
& greater(age(X,T),age(X,T0))
& ~ has_endowment(X)
& organization(X) ),
inference(nnf_transformation,[status(thm)],[f13_neg]) ).
fof(f13_sk,plain,
( ~ greater(hazard_of_mortality(sk0,sk2),hazard_of_mortality(sk0,sk1))
& greater(age(sk0,sk2),age(sk0,sk1))
& ~ has_endowment(sk0)
& organization(sk0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2])],[f13_nnf]) ).
cnf(c23,plain,
organization(sk0),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p103,plain,
external_ties(sk0,X0) = external_ties(sk0,X1),
inference(resolution,[status(thm)],[c21,c23]) ).
fof(f9,axiom,
! [X,T0,T] :
( organization(X)
=> ( ( external_ties(X,T) = external_ties(X,T0)
=> position(X,T) = position(X,T0) )
& ( greater(external_ties(X,T),external_ties(X,T0))
=> greater(position(X,T),position(X,T0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6) ).
fof(f9_nnf,plain,
! [X,T0,T] :
( ( ( position(X,T) = position(X,T0)
| external_ties(X,T) != external_ties(X,T0) )
& ( greater(position(X,T),position(X,T0))
| ~ greater(external_ties(X,T),external_ties(X,T0)) ) )
| ~ organization(X) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [X,T,T0] :
( ( ( position(X,T) = position(X,T0)
| external_ties(X,T) != external_ties(X,T0) )
& ( greater(position(X,T),position(X,T0))
| ~ greater(external_ties(X,T),external_ties(X,T0)) ) )
| ~ organization(X) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c19,plain,
( position(X0,X2) = position(X0,X1)
| external_ties(X0,X2) != external_ties(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p91,plain,
( position(sk0,X0) = position(sk0,X1)
| external_ties(sk0,X0) != external_ties(sk0,X1) ),
inference(resolution,[status(thm)],[c19,c23]) ).
cnf(p108,plain,
position(sk0,X0) = position(sk0,X1),
inference(resolution,[status(thm)],[p103,p91]) ).
fof(f10,axiom,
! [X,T0,T] :
( organization(X)
=> stock_of_knowledge(X,T) = stock_of_knowledge(X,T0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_10) ).
fof(f10_nnf,plain,
! [X,T0,T] :
( stock_of_knowledge(X,T) = stock_of_knowledge(X,T0)
| ~ organization(X) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [X,T,T0] :
( stock_of_knowledge(X,T) = stock_of_knowledge(X,T0)
| ~ organization(X) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c20,plain,
( stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p95,plain,
stock_of_knowledge(sk0,X0) = stock_of_knowledge(sk0,X1),
inference(resolution,[status(thm)],[c20,c23]) ).
fof(f8,axiom,
! [X,T0,T] :
( organization(X)
=> ( ( ( internal_friction(X,T) = internal_friction(X,T0)
& stock_of_knowledge(X,T) = stock_of_knowledge(X,T0) )
=> capability(X,T) = capability(X,T0) )
& ( ( greater(internal_friction(X,T),internal_friction(X,T0))
& smaller_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) )
=> smaller(capability(X,T),capability(X,T0)) )
& ( ( smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
& greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) )
=> greater(capability(X,T),capability(X,T0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5) ).
fof(f8_nnf,plain,
! [X,T0,T] :
( ( ( capability(X,T) = capability(X,T0)
| internal_friction(X,T) != internal_friction(X,T0)
| stock_of_knowledge(X,T) != stock_of_knowledge(X,T0) )
& ( smaller(capability(X,T),capability(X,T0))
| ~ greater(internal_friction(X,T),internal_friction(X,T0))
| ~ smaller_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) )
& ( greater(capability(X,T),capability(X,T0))
| ~ smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
| ~ greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) ) )
| ~ organization(X) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [X,T,T0] :
( ( ( capability(X,T) = capability(X,T0)
| internal_friction(X,T) != internal_friction(X,T0)
| stock_of_knowledge(X,T) != stock_of_knowledge(X,T0) )
& ( smaller(capability(X,T),capability(X,T0))
| ~ greater(internal_friction(X,T),internal_friction(X,T0))
| ~ smaller_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) )
& ( greater(capability(X,T),capability(X,T0))
| ~ smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
| ~ greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) ) )
| ~ organization(X) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c16,plain,
( smaller(capability(X0,X2),capability(X0,X1))
| ~ greater(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p68,plain,
( smaller(capability(sk0,X0),capability(sk0,X1))
| ~ greater(internal_friction(sk0,X0),internal_friction(sk0,X1))
| ~ smaller_or_equal(stock_of_knowledge(sk0,X0),stock_of_knowledge(sk0,X1)) ),
inference(resolution,[status(thm)],[c16,c23]) ).
cnf(p100,plain,
( smaller(capability(sk0,X2),capability(sk0,X1))
| ~ greater(internal_friction(sk0,X2),internal_friction(sk0,X1))
| ~ smaller_or_equal(stock_of_knowledge(sk0,X0),stock_of_knowledge(sk0,X1)) ),
inference(superposition,[status(thm)],[p95,p68]) ).
fof(f0,axiom,
! [X,Y] :
( smaller_or_equal(X,Y)
<=> ( X = Y
| smaller(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal) ).
fof(f0_nnf,plain,
! [X,Y] :
( ( ( X != Y
& ~ smaller(X,Y) )
| smaller_or_equal(X,Y) )
& ( X = Y
| smaller(X,Y)
| ~ smaller_or_equal(X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,Y] :
( ( ( X != Y
& ~ smaller(X,Y) )
| smaller_or_equal(X,Y) )
& ( X = Y
| smaller(X,Y)
| ~ smaller_or_equal(X,Y) ) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c2,plain,
( X0 != X1
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p27,plain,
smaller_or_equal(X0,X0),
inference(equality_resolution,[status(thm)],[c2]) ).
cnf(p488,plain,
( smaller(capability(sk0,X0),capability(sk0,X1))
| ~ greater(internal_friction(sk0,X0),internal_friction(sk0,X1)) ),
inference(resolution,[status(thm)],[p100,p27]) ).
fof(f12,axiom,
! [X,T0,T] :
( ( greater(age(X,T),age(X,T0))
& organization(X) )
=> greater(internal_friction(X,T),internal_friction(X,T0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_12) ).
fof(f12_nnf,plain,
! [X,T0,T] :
( greater(internal_friction(X,T),internal_friction(X,T0))
| ~ greater(age(X,T),age(X,T0))
| ~ organization(X) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [X,T,T0] :
( greater(internal_friction(X,T),internal_friction(X,T0))
| ~ greater(age(X,T),age(X,T0))
| ~ organization(X) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c22,plain,
( greater(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ greater(age(X0,X2),age(X0,X1))
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p111,plain,
( greater(internal_friction(sk0,X0),internal_friction(sk0,X1))
| ~ greater(age(sk0,X0),age(sk0,X1)) ),
inference(resolution,[status(thm)],[c22,c23]) ).
cnf(c25,plain,
greater(age(sk0,sk2),age(sk0,sk1)),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p113,plain,
greater(internal_friction(sk0,sk2),internal_friction(sk0,sk1)),
inference(resolution,[status(thm)],[p111,c25]) ).
cnf(p490,plain,
smaller(capability(sk0,sk2),capability(sk0,sk1)),
inference(resolution,[status(thm)],[p488,p113]) ).
fof(f2,axiom,
! [X,Y] :
( smaller(X,Y)
<=> greater(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller) ).
fof(f2_nnf,plain,
! [X,Y] :
( ( ~ greater(Y,X)
| smaller(X,Y) )
& ( greater(Y,X)
| ~ smaller(X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y] :
( ( ~ greater(Y,X)
| smaller(X,Y) )
& ( greater(Y,X)
| ~ smaller(X,Y) ) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c6,plain,
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p502,plain,
greater(capability(sk0,sk1),capability(sk0,sk2)),
inference(resolution,[status(thm)],[p490,c6]) ).
fof(f7,axiom,
! [X,T0,T] :
( ( ~ has_immunity(X,T)
& ~ has_immunity(X,T0)
& organization(X) )
=> ( ( ( position(X,T) = position(X,T0)
& capability(X,T) = capability(X,T0) )
=> hazard_of_mortality(X,T) = hazard_of_mortality(X,T0) )
& ( ( greater(position(X,T),position(X,T0))
& greater_or_equal(capability(X,T),capability(X,T0)) )
=> smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) )
& ( ( greater_or_equal(position(X,T),position(X,T0))
& greater(capability(X,T),capability(X,T0)) )
=> smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_4) ).
fof(f7_nnf,plain,
! [X,T0,T] :
( ( ( hazard_of_mortality(X,T) = hazard_of_mortality(X,T0)
| position(X,T) != position(X,T0)
| capability(X,T) != capability(X,T0) )
& ( smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0))
| ~ greater(position(X,T),position(X,T0))
| ~ greater_or_equal(capability(X,T),capability(X,T0)) )
& ( smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0))
| ~ greater_or_equal(position(X,T),position(X,T0))
| ~ greater(capability(X,T),capability(X,T0)) ) )
| has_immunity(X,T)
| has_immunity(X,T0)
| ~ organization(X) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X,T0,T] :
( ( ( hazard_of_mortality(X,T) = hazard_of_mortality(X,T0)
| position(X,T) != position(X,T0)
| capability(X,T) != capability(X,T0) )
& ( smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0))
| ~ greater(position(X,T),position(X,T0))
| ~ greater_or_equal(capability(X,T),capability(X,T0)) )
& ( smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0))
| ~ greater_or_equal(position(X,T),position(X,T0))
| ~ greater(capability(X,T),capability(X,T0)) ) )
| has_immunity(X,T)
| has_immunity(X,T0)
| ~ organization(X) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c12,plain,
( smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ greater_or_equal(position(X0,X2),position(X0,X1))
| ~ greater(capability(X0,X2),capability(X0,X1))
| has_immunity(X0,X2)
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p45,plain,
( smaller(hazard_of_mortality(sk0,X1),hazard_of_mortality(sk0,X0))
| ~ greater_or_equal(position(sk0,X1),position(sk0,X0))
| ~ greater(capability(sk0,X1),capability(sk0,X0))
| has_immunity(sk0,X1)
| has_immunity(sk0,X0) ),
inference(resolution,[status(thm)],[c12,c23]) ).
cnf(p509,plain,
( smaller(hazard_of_mortality(sk0,sk1),hazard_of_mortality(sk0,sk2))
| ~ greater_or_equal(position(sk0,sk1),position(sk0,sk2))
| has_immunity(sk0,sk1)
| has_immunity(sk0,sk2) ),
inference(resolution,[status(thm)],[p502,p45]) ).
cnf(p2730,plain,
( smaller(hazard_of_mortality(sk0,sk1),hazard_of_mortality(sk0,sk2))
| ~ greater_or_equal(position(sk0,X0),position(sk0,sk2))
| has_immunity(sk0,sk1)
| has_immunity(sk0,sk2) ),
inference(superposition,[status(thm)],[p108,p509]) ).
fof(f1,axiom,
! [X,Y] :
( greater_or_equal(X,Y)
<=> ( X = Y
| greater(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal) ).
fof(f1_nnf,plain,
! [X,Y] :
( ( ( X != Y
& ~ greater(X,Y) )
| greater_or_equal(X,Y) )
& ( X = Y
| greater(X,Y)
| ~ greater_or_equal(X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X,Y] :
( ( ( X != Y
& ~ greater(X,Y) )
| greater_or_equal(X,Y) )
& ( X = Y
| greater(X,Y)
| ~ greater_or_equal(X,Y) ) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c5,plain,
( X0 != X1
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p29,plain,
greater_or_equal(X0,X0),
inference(equality_resolution,[status(thm)],[c5]) ).
cnf(p4558,plain,
( smaller(hazard_of_mortality(sk0,sk1),hazard_of_mortality(sk0,sk2))
| has_immunity(sk0,sk1)
| has_immunity(sk0,sk2) ),
inference(resolution,[status(thm)],[p2730,p29]) ).
cnf(p4581,plain,
( greater(hazard_of_mortality(sk0,sk2),hazard_of_mortality(sk0,sk1))
| has_immunity(sk0,sk1)
| has_immunity(sk0,sk2) ),
inference(resolution,[status(thm)],[p4558,c6]) ).
cnf(c26,plain,
~ greater(hazard_of_mortality(sk0,sk2),hazard_of_mortality(sk0,sk1)),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p4587,plain,
( has_immunity(sk0,sk1)
| has_immunity(sk0,sk2) ),
inference(resolution,[status(thm)],[p4581,c26]) ).
fof(f6,axiom,
! [X,T] :
( ( ~ has_endowment(X)
& organization(X) )
=> ~ has_immunity(X,T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_1) ).
fof(f6_nnf,plain,
! [X,T] :
( ~ has_immunity(X,T)
| has_endowment(X)
| ~ organization(X) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X,T] :
( ~ has_immunity(X,T)
| has_endowment(X)
| ~ organization(X) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c11,plain,
( ~ has_immunity(X0,X1)
| has_endowment(X0)
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p35,plain,
( ~ has_immunity(sk0,X0)
| has_endowment(sk0) ),
inference(resolution,[status(thm)],[c11,c23]) ).
cnf(p4588,plain,
( has_endowment(sk0)
| has_immunity(sk0,sk1) ),
inference(resolution,[status(thm)],[p4587,p35]) ).
cnf(p4609,plain,
( has_endowment(sk0)
| has_endowment(sk0) ),
inference(resolution,[status(thm)],[p4588,p35]) ).
cnf(p4610,plain,
has_endowment(sk0),
inference(factoring,[status(thm)],[p4609]) ).
cnf(c24,plain,
~ has_endowment(sk0),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p4611,plain,
$false,
inference(resolution,[status(thm)],[p4610,c24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT050+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/5.37 % Computer : n017.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Thu Sep 24 01:08:35 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 30.74/9.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.74/9.94 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------