%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT054+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n015.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 02:11:51 PM UTC 2026
% Result : Theorem 23.38s 3.58s
% Output : Proof 23.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 10
% Syntax : Number of formulae : 79 ( 11 unt; 0 def)
% Number of atoms : 266 ( 27 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 292 ( 105 ~; 125 |; 50 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 125 ( 2 sgn 74 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X,T0,T] :
( ( age(X,T0) = zero
& organization(X) )
=> ( greater(age(X,T),sigma)
<=> dissimilar(X,T0,T) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_15) ).
fof(f11_nnf,plain,
! [X,T0,T] :
( ( ( ~ dissimilar(X,T0,T)
| greater(age(X,T),sigma) )
& ( dissimilar(X,T0,T)
| ~ greater(age(X,T),sigma) ) )
| age(X,T0) != zero
| ~ organization(X) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [X,T0,T] :
( ( ( ~ dissimilar(X,T0,T)
| greater(age(X,T),sigma) )
& ( dissimilar(X,T0,T)
| ~ greater(age(X,T),sigma) ) )
| age(X,T0) != zero
| ~ organization(X) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c23,plain,
( ~ dissimilar(X0,X1,X2)
| greater(age(X0,X2),sigma)
| age(X0,X1) != zero
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
fof(f13,conjecture,
! [X,T0,T1,T2] :
( ( greater(sigma,zero)
& greater(age(X,T2),sigma)
& smaller_or_equal(age(X,T1),sigma)
& age(X,T0) = zero
& ~ has_endowment(X)
& organization(X) )
=> greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_5) ).
fof(f13_neg,negated_conjecture,
~ ! [X,T0,T1,T2] :
( ( greater(sigma,zero)
& greater(age(X,T2),sigma)
& smaller_or_equal(age(X,T1),sigma)
& age(X,T0) = zero
& ~ has_endowment(X)
& organization(X) )
=> greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1)) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f13_nnf,plain,
? [X,T0,T1,T2] :
( ~ greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))
& greater(sigma,zero)
& greater(age(X,T2),sigma)
& smaller_or_equal(age(X,T1),sigma)
& age(X,T0) = zero
& ~ has_endowment(X)
& organization(X) ),
inference(nnf_transformation,[status(thm)],[f13_neg]) ).
fof(f13_sk,plain,
( ~ greater(hazard_of_mortality(sk0,sk3),hazard_of_mortality(sk0,sk2))
& greater(sigma,zero)
& greater(age(sk0,sk3),sigma)
& smaller_or_equal(age(sk0,sk2),sigma)
& age(sk0,sk1) = zero
& ~ has_endowment(sk0)
& organization(sk0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2,sk3])],[f13_nnf]) ).
cnf(c25,plain,
organization(sk0),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p120,plain,
( ~ dissimilar(sk0,X0,X1)
| greater(age(sk0,X1),sigma)
| age(sk0,X0) != zero ),
inference(resolution,[status(thm)],[c23,c25]) ).
cnf(c27,plain,
age(sk0,sk1) = zero,
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p147,plain,
( ~ dissimilar(sk0,sk1,X0)
| greater(age(sk0,X0),sigma) ),
inference(resolution,[status(thm)],[p120,c27]) ).
fof(f9,axiom,
! [X,T] :
( ( age(X,T) = zero
& organization(X) )
=> is_aligned(X,T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_13) ).
fof(f9_nnf,plain,
! [X,T] :
( is_aligned(X,T)
| age(X,T) != zero
| ~ organization(X) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [X,T] :
( is_aligned(X,T)
| age(X,T) != zero
| ~ organization(X) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c20,plain,
( is_aligned(X0,X1)
| age(X0,X1) != zero
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p110,plain,
( is_aligned(sk0,X0)
| age(sk0,X0) != zero ),
inference(resolution,[status(thm)],[c20,c25]) ).
cnf(p111,plain,
is_aligned(sk0,sk1),
inference(resolution,[status(thm)],[p110,c27]) ).
fof(f8,axiom,
! [X,T0,T] :
( dissimilar(X,T0,T)
<=> ( ~ ( is_aligned(X,T0)
<=> is_aligned(X,T) )
& organization(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2) ).
fof(f8_nnf,plain,
! [X,T0,T] :
( ( ( ( ~ is_aligned(X,T)
| is_aligned(X,T0) )
& ( is_aligned(X,T)
| ~ is_aligned(X,T0) ) )
| ~ organization(X)
| dissimilar(X,T0,T) )
& ( ( ( ( is_aligned(X,T)
& ~ is_aligned(X,T0) )
| ( ~ is_aligned(X,T)
& is_aligned(X,T0) ) )
& organization(X) )
| ~ dissimilar(X,T0,T) ) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [X,T0,T] :
( ( ( ( ~ is_aligned(X,T)
| is_aligned(X,T0) )
& ( is_aligned(X,T)
| ~ is_aligned(X,T0) ) )
| ~ organization(X)
| dissimilar(X,T0,T) )
& ( ( ( ( is_aligned(X,T)
& ~ is_aligned(X,T0) )
| ( ~ is_aligned(X,T)
& is_aligned(X,T0) ) )
& organization(X) )
| ~ dissimilar(X,T0,T) ) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c18,plain,
( is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ organization(X0)
| dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p106,plain,
( is_aligned(sk0,X1)
| ~ is_aligned(sk0,X0)
| dissimilar(sk0,X0,X1) ),
inference(resolution,[status(thm)],[c18,c25]) ).
cnf(p112,plain,
( is_aligned(sk0,X0)
| dissimilar(sk0,sk1,X0) ),
inference(resolution,[status(thm)],[p111,p106]) ).
cnf(p148,plain,
( is_aligned(sk0,X0)
| greater(age(sk0,X0),sigma) ),
inference(resolution,[status(thm)],[p147,p112]) ).
fof(f2,axiom,
! [X,Y] :
( smaller(X,Y)
<=> greater(Y,X) ),
file('/export/starexec/sandbox2/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]) ).
fof(f0,axiom,
! [X,Y] :
( smaller_or_equal(X,Y)
<=> ( X = Y
| smaller(X,Y) ) ),
file('/export/starexec/sandbox2/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(c0,plain,
( X0 = X1
| smaller(X0,X1)
| ~ smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(c28,plain,
smaller_or_equal(age(sk0,sk2),sigma),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p32,plain,
( age(sk0,sk2) = sigma
| smaller(age(sk0,sk2),sigma) ),
inference(resolution,[status(thm)],[c0,c28]) ).
cnf(p37,plain,
( age(sk0,sk2) = sigma
| greater(sigma,age(sk0,sk2)) ),
inference(resolution,[status(thm)],[c6,p32]) ).
fof(f3,axiom,
! [X,Y] :
~ ( greater(Y,X)
& greater(X,Y) ),
file('/export/starexec/sandbox2/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(p46,plain,
( ~ greater(age(sk0,sk2),sigma)
| age(sk0,sk2) = sigma ),
inference(resolution,[status(thm)],[p37,c8]) ).
cnf(p153,plain,
( age(sk0,sk2) = sigma
| is_aligned(sk0,sk2) ),
inference(resolution,[status(thm)],[p148,p46]) ).
cnf(p176,plain,
( is_aligned(sk0,sk2)
| greater(sigma,sigma)
| is_aligned(sk0,sk2) ),
inference(superposition,[status(thm)],[p153,p148]) ).
cnf(p186,plain,
( greater(sigma,sigma)
| is_aligned(sk0,sk2) ),
inference(factoring,[status(thm)],[p176]) ).
fof(f10,axiom,
! [X,T0,T] :
( ( ~ is_aligned(X,T)
& is_aligned(X,T0)
& organization(X) )
=> greater(capability(X,T0),capability(X,T)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_14) ).
fof(f10_nnf,plain,
! [X,T0,T] :
( greater(capability(X,T0),capability(X,T))
| is_aligned(X,T)
| ~ is_aligned(X,T0)
| ~ organization(X) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [X,T0,T] :
( greater(capability(X,T0),capability(X,T))
| is_aligned(X,T)
| ~ is_aligned(X,T0)
| ~ organization(X) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c21,plain,
( greater(capability(X0,X1),capability(X0,X2))
| is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p114,plain,
( greater(capability(sk0,X0),capability(sk0,X1))
| is_aligned(sk0,X1)
| ~ is_aligned(sk0,X0) ),
inference(resolution,[status(thm)],[c21,c25]) ).
cnf(p189,plain,
( greater(capability(sk0,sk2),capability(sk0,X0))
| is_aligned(sk0,X0)
| greater(sigma,sigma) ),
inference(resolution,[status(thm)],[p186,p114]) ).
fof(f12,axiom,
! [X,T0,T] :
( ( greater(capability(X,T),capability(X,T0))
& ~ has_immunity(X,T)
& ~ has_immunity(X,T0)
& organization(X) )
=> greater(hazard_of_mortality(X,T0),hazard_of_mortality(X,T)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_16) ).
fof(f12_nnf,plain,
! [X,T0,T] :
( greater(hazard_of_mortality(X,T0),hazard_of_mortality(X,T))
| ~ greater(capability(X,T),capability(X,T0))
| has_immunity(X,T)
| has_immunity(X,T0)
| ~ organization(X) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [X,T0,T] :
( greater(hazard_of_mortality(X,T0),hazard_of_mortality(X,T))
| ~ greater(capability(X,T),capability(X,T0))
| has_immunity(X,T)
| has_immunity(X,T0)
| ~ organization(X) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c24,plain,
( greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| ~ greater(capability(X0,X2),capability(X0,X1))
| has_immunity(X0,X2)
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p125,plain,
( greater(hazard_of_mortality(sk0,X0),hazard_of_mortality(sk0,X1))
| ~ greater(capability(sk0,X1),capability(sk0,X0))
| has_immunity(sk0,X1)
| has_immunity(sk0,X0) ),
inference(resolution,[status(thm)],[c24,c25]) ).
cnf(p312,plain,
( greater(hazard_of_mortality(sk0,X0),hazard_of_mortality(sk0,sk2))
| has_immunity(sk0,sk2)
| has_immunity(sk0,X0)
| is_aligned(sk0,X0)
| greater(sigma,sigma) ),
inference(resolution,[status(thm)],[p189,p125]) ).
cnf(c31,plain,
~ greater(hazard_of_mortality(sk0,sk3),hazard_of_mortality(sk0,sk2)),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p2230,plain,
( has_immunity(sk0,sk2)
| has_immunity(sk0,sk3)
| is_aligned(sk0,sk3)
| greater(sigma,sigma) ),
inference(resolution,[status(thm)],[p312,c31]) ).
cnf(c22,plain,
( dissimilar(X0,X1,X2)
| ~ greater(age(X0,X2),sigma)
| age(X0,X1) != zero
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p115,plain,
( dissimilar(sk0,X0,X1)
| ~ greater(age(sk0,X1),sigma)
| age(sk0,X0) != zero ),
inference(resolution,[status(thm)],[c22,c25]) ).
cnf(p140,plain,
( dissimilar(sk0,sk1,X0)
| ~ greater(age(sk0,X0),sigma) ),
inference(resolution,[status(thm)],[p115,c27]) ).
cnf(c29,plain,
greater(age(sk0,sk3),sigma),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p141,plain,
dissimilar(sk0,sk1,sk3),
inference(resolution,[status(thm)],[p140,c29]) ).
cnf(c16,plain,
( ~ is_aligned(X0,X1)
| ~ is_aligned(X0,X2)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p143,plain,
( ~ is_aligned(sk0,sk1)
| ~ is_aligned(sk0,sk3) ),
inference(resolution,[status(thm)],[p141,c16]) ).
cnf(p2265,plain,
( ~ is_aligned(sk0,sk1)
| has_immunity(sk0,sk2)
| has_immunity(sk0,sk3)
| greater(sigma,sigma) ),
inference(resolution,[status(thm)],[p2230,p143]) ).
cnf(p2266,plain,
( has_immunity(sk0,sk2)
| has_immunity(sk0,sk3)
| greater(sigma,sigma) ),
inference(resolution,[status(thm)],[p2265,p111]) ).
fof(f6,axiom,
! [X,T] :
( ( ~ has_endowment(X)
& organization(X) )
=> ~ has_immunity(X,T) ),
file('/export/starexec/sandbox2/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(p64,plain,
( ~ has_immunity(sk0,X0)
| has_endowment(sk0) ),
inference(resolution,[status(thm)],[c11,c25]) ).
cnf(p2267,plain,
( has_endowment(sk0)
| has_immunity(sk0,sk2)
| greater(sigma,sigma) ),
inference(resolution,[status(thm)],[p2266,p64]) ).
cnf(p2269,plain,
( has_endowment(sk0)
| has_endowment(sk0)
| greater(sigma,sigma) ),
inference(resolution,[status(thm)],[p2267,p64]) ).
cnf(p2271,plain,
( has_endowment(sk0)
| greater(sigma,sigma) ),
inference(factoring,[status(thm)],[p2269]) ).
cnf(p42,plain,
~ greater(X0,X0),
inference(factoring,[status(thm)],[c8]) ).
cnf(p2273,plain,
has_endowment(sk0),
inference(resolution,[status(thm)],[p2271,p42]) ).
cnf(c26,plain,
~ has_endowment(sk0),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p2274,plain,
$false,
inference(resolution,[status(thm)],[p2273,c26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT054+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 01:17:25 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 23.38/3.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.38/3.58 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------