%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT044+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 : 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 02:11:48 PM UTC 2026
% Result : Theorem 6.82s 1.33s
% Output : Proof 6.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 43 ( 19 unt; 0 def)
% Number of atoms : 110 ( 34 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 113 ( 46 ~; 37 |; 21 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-4 aty)
% Number of variables : 76 ( 7 sgn 45 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X,T0,T] :
( organization(X)
=> internal_friction(X,T) = internal_friction(X,T0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_9) ).
fof(f8_nnf,plain,
! [X,T0,T] :
( internal_friction(X,T) = internal_friction(X,T0)
| ~ organization(X) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [X,T,T0] :
( internal_friction(X,T) = internal_friction(X,T0)
| ~ organization(X) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c15,plain,
( internal_friction(X0,X2) = internal_friction(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(hi14,axiom,
ifeq(organization(X0),true,internal_friction(X0,X1),internal_friction(X0,X2)) = internal_friction(X0,X2),
inference(equality_encoding,[status(esa)],[c15]) ).
fof(f9,conjecture,
! [X,T0,T] :
( ( greater(age(X,T),age(X,T0))
& organization(X) )
=> greater(capability(X,T),capability(X,T0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_3) ).
fof(f9_neg,negated_conjecture,
~ ! [X,T0,T] :
( ( greater(age(X,T),age(X,T0))
& organization(X) )
=> greater(capability(X,T),capability(X,T0)) ),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f9_nnf,plain,
? [X,T0,T] :
( ~ greater(capability(X,T),capability(X,T0))
& greater(age(X,T),age(X,T0))
& organization(X) ),
inference(nnf_transformation,[status(thm)],[f9_neg]) ).
fof(f9_sk,plain,
( ~ greater(capability(sk0,sk2),capability(sk0,sk1))
& greater(age(sk0,sk2),age(sk0,sk1))
& organization(sk0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2])],[f9_nnf]) ).
cnf(c16,plain,
organization(sk0),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(hi15,negated_conjecture,
organization(sk0) = true,
inference(equality_encoding,[status(esa)],[c16]) ).
cnf(h0,plain,
internal_friction(sk0,V0) = internal_friction(sk0,V1),
inference(hyper_resolution,[status(thm)],[hi14,hi15]) ).
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(hi2,axiom,
ifeq(X0,X1,smaller_or_equal(X0,X1),true) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(h94,plain,
smaller_or_equal(internal_friction(sk0,V0),internal_friction(sk0,V1)) = true,
inference(hyper_resolution,[status(thm)],[hi2,h0]) ).
fof(f7,axiom,
! [X,T0,T] :
( ( greater(age(X,T),age(X,T0))
& organization(X) )
=> greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_7) ).
fof(f7_nnf,plain,
! [X,T0,T] :
( greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
| ~ greater(age(X,T),age(X,T0))
| ~ organization(X) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X,T,T0] :
( greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
| ~ greater(age(X,T),age(X,T0))
| ~ organization(X) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c14,plain,
( greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ greater(age(X0,X2),age(X0,X1))
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(hi13,axiom,
ifeq(organization(X0),true,ifeq(greater(age(X0,X1),age(X0,X2)),true,greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2)),true),true) = true,
inference(equality_encoding,[status(esa)],[c14]) ).
cnf(c17,plain,
greater(age(sk0,sk2),age(sk0,sk1)),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(hi16,negated_conjecture,
greater(age(sk0,sk2),age(sk0,sk1)) = true,
inference(equality_encoding,[status(esa)],[c17]) ).
cnf(h435,plain,
greater(stock_of_knowledge(sk0,sk2),stock_of_knowledge(sk0,sk1)) = true,
inference(hyper_resolution,[status(thm)],[hi13,hi15,hi16]) ).
fof(f6,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(f6_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)],[f6]) ).
fof(f6_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)],[f6_nnf]) ).
cnf(c11,plain,
( greater(capability(X0,X2),capability(X0,X1))
| ~ smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(hi10,axiom,
ifeq(organization(X0),true,ifeq(greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2)),true,ifeq(smaller_or_equal(internal_friction(X0,X1),internal_friction(X0,X2)),true,greater(capability(X0,X1),capability(X0,X2)),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(h774,plain,
greater(capability(sk0,sk2),capability(sk0,sk1)) = true,
inference(hyper_resolution,[status(thm)],[hi10,hi15,h435,h94]) ).
cnf(c18,plain,
~ greater(capability(sk0,sk2),capability(sk0,sk1)),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(hi18,negated_conjecture,
ifeq(greater(capability(sk0,sk2),capability(sk0,sk1)),true,false,true) = true,
inference(equality_encoding,[status(esa)],[c18]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi18,h774]) ).
cnf(t260,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
fof(f3,axiom,
! [X,Y] :
~ ( greater(Y,X)
& greater(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_strict) ).
fof(f3_nnf,plain,
! [X,Y] :
( ~ greater(Y,X)
| ~ greater(X,Y) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X,Y] :
( ~ greater(Y,X)
| ~ greater(X,Y) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c8,plain,
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c8,c18]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t260]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT044+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.37 % Computer : n001.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 01:16:37 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.82/1.33 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.82/1.33 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------