%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT043+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 : n011.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 02:11:48 PM UTC 2026
% Result : Theorem 15.21s 2.40s
% Output : Proof 15.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 44 ( 12 unt; 0 def)
% Number of atoms : 187 ( 39 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 220 ( 77 ~; 78 |; 52 &)
% ( 3 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 64 ( 0 sgn 42 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,conjecture,
! [X,T0,T] :
( ( external_ties(X,T0) = external_ties(X,T)
& greater(internal_friction(X,T),internal_friction(X,T0))
& stock_of_knowledge(X,T) = stock_of_knowledge(X,T0)
& ~ has_immunity(X,T)
& ~ has_immunity(X,T0)
& organization(X) )
=> greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_2) ).
fof(f9_neg,negated_conjecture,
~ ! [X,T0,T] :
( ( external_ties(X,T0) = external_ties(X,T)
& greater(internal_friction(X,T),internal_friction(X,T0))
& stock_of_knowledge(X,T) = stock_of_knowledge(X,T0)
& ~ has_immunity(X,T)
& ~ has_immunity(X,T0)
& organization(X) )
=> greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f9_nnf,plain,
? [X,T0,T] :
( ~ greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0))
& external_ties(X,T0) = external_ties(X,T)
& greater(internal_friction(X,T),internal_friction(X,T0))
& stock_of_knowledge(X,T) = stock_of_knowledge(X,T0)
& ~ has_immunity(X,T)
& ~ has_immunity(X,T0)
& organization(X) ),
inference(nnf_transformation,[status(thm)],[f9_neg]) ).
fof(f9_sk,plain,
( ~ greater(hazard_of_mortality(sk0,sk2),hazard_of_mortality(sk0,sk1))
& external_ties(sk0,sk1) = external_ties(sk0,sk2)
& greater(internal_friction(sk0,sk2),internal_friction(sk0,sk1))
& stock_of_knowledge(sk0,sk2) = stock_of_knowledge(sk0,sk1)
& ~ has_immunity(sk0,sk2)
& ~ has_immunity(sk0,sk1)
& organization(sk0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2])],[f9_nnf]) ).
cnf(c22,plain,
stock_of_knowledge(sk0,sk2) = stock_of_knowledge(sk0,sk1),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
fof(f7,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(f7_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)],[f7]) ).
fof(f7_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)],[f7_nnf]) ).
cnf(c15,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)],[f7_sk]) ).
cnf(c19,plain,
organization(sk0),
inference(cnf_transformation,[status(esa)],[f9_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)],[c15,c19]) ).
cnf(p95,plain,
( smaller(capability(sk0,sk2),capability(sk0,X0))
| ~ greater(internal_friction(sk0,sk2),internal_friction(sk0,X0))
| ~ smaller_or_equal(stock_of_knowledge(sk0,sk1),stock_of_knowledge(sk0,X0)) ),
inference(superposition,[status(thm)],[c22,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(p26,plain,
smaller_or_equal(X0,X0),
inference(equality_resolution,[status(thm)],[c2]) ).
cnf(p177,plain,
( smaller(capability(sk0,sk2),capability(sk0,sk1))
| ~ greater(internal_friction(sk0,sk2),internal_friction(sk0,sk1)) ),
inference(resolution,[status(thm)],[p95,p26]) ).
cnf(c23,plain,
greater(internal_friction(sk0,sk2),internal_friction(sk0,sk1)),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p178,plain,
smaller(capability(sk0,sk2),capability(sk0,sk1)),
inference(resolution,[status(thm)],[p177,c23]) ).
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(p180,plain,
greater(capability(sk0,sk1),capability(sk0,sk2)),
inference(resolution,[status(thm)],[p178,c6]) ).
fof(f6,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(f6_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)],[f6]) ).
fof(f6_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)],[f6_nnf]) ).
cnf(c11,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)],[f6_sk]) ).
cnf(p43,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)],[c11,c19]) ).
cnf(p192,plain,
( smaller(hazard_of_mortality(sk0,sk1),hazard_of_mortality(sk0,sk2))
| ~ greater_or_equal(position(sk0,sk1),position(sk0,sk1))
| has_immunity(sk0,sk1)
| has_immunity(sk0,sk2) ),
inference(resolution,[status(thm)],[p180,p43]) ).
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(p1271,plain,
( smaller(hazard_of_mortality(sk0,sk1),hazard_of_mortality(sk0,sk2))
| has_immunity(sk0,sk1)
| has_immunity(sk0,sk2) ),
inference(resolution,[status(thm)],[p192,p29]) ).
cnf(p1286,plain,
( greater(hazard_of_mortality(sk0,sk2),hazard_of_mortality(sk0,sk1))
| has_immunity(sk0,sk1)
| has_immunity(sk0,sk2) ),
inference(resolution,[status(thm)],[p1271,c6]) ).
cnf(c25,plain,
~ greater(hazard_of_mortality(sk0,sk2),hazard_of_mortality(sk0,sk1)),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p1289,plain,
( has_immunity(sk0,sk1)
| has_immunity(sk0,sk2) ),
inference(resolution,[status(thm)],[p1286,c25]) ).
cnf(c21,plain,
~ has_immunity(sk0,sk2),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p1290,plain,
has_immunity(sk0,sk1),
inference(resolution,[status(thm)],[p1289,c21]) ).
cnf(c20,plain,
~ has_immunity(sk0,sk1),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p1318,plain,
$false,
inference(resolution,[status(thm)],[p1290,c20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT043+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.35 % Computer : n011.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Thu Sep 24 01:10:42 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 15.21/2.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.21/2.40 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------