%------------------------------------------------------------------------------
% 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/sandbox2/benchmark/theBenchmark.p 300
% Computer : n009.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 : Unsatisfiable 32.82s 4.89s
% Output : Proof 32.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 14
% Syntax : Number of formulae : 78 ( 24 unt; 0 def)
% Number of atoms : 179 ( 29 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 189 ( 88 ~; 101 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 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 : 127 ( 19 sgn 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f21,axiom,
( external_ties(A,B) = external_ties(A,C)
| ~ organization(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_11_51) ).
fof(f21_nnf,plain,
! [A,B,C] :
( external_ties(A,B) = external_ties(A,C)
| ~ organization(A) ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
! [A,B,C] :
( external_ties(A,B) = external_ties(A,C)
| ~ organization(A) ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,plain,
( external_ties(X0,X1) = external_ties(X0,X2)
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(f23,negated_conjecture,
organization(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_3_53) ).
fof(f23_nnf,plain,
organization(sk1),
inference(nnf_transformation,[status(thm)],[f23]) ).
cnf(c23,plain,
organization(sk1),
inference(cnf_transformation,[status(esa)],[f23_nnf]) ).
cnf(p103,plain,
external_ties(sk1,X0) = external_ties(sk1,X1),
inference(resolution,[status(thm)],[c21,c23]) ).
cnf(f19,axiom,
( position(A,B) = position(A,C)
| external_ties(A,B) != external_ties(A,C)
| ~ organization(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6_49) ).
fof(f19_nnf,plain,
! [A,B,C] :
( position(A,B) = position(A,C)
| external_ties(A,B) != external_ties(A,C)
| ~ organization(A) ),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
! [A,B,C] :
( position(A,B) = position(A,C)
| external_ties(A,B) != external_ties(A,C)
| ~ organization(A) ),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c19,plain,
( position(X0,X1) = position(X0,X2)
| external_ties(X0,X1) != external_ties(X0,X2)
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(p91,plain,
( position(sk1,X0) = position(sk1,X1)
| external_ties(sk1,X0) != external_ties(sk1,X1) ),
inference(resolution,[status(thm)],[c19,c23]) ).
cnf(p108,plain,
position(sk1,X0) = position(sk1,X1),
inference(resolution,[status(thm)],[p103,p91]) ).
cnf(f20,axiom,
( stock_of_knowledge(A,B) = stock_of_knowledge(A,C)
| ~ organization(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_10_50) ).
fof(f20_nnf,plain,
! [A,B,C] :
( stock_of_knowledge(A,B) = stock_of_knowledge(A,C)
| ~ organization(A) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [A,B,C] :
( stock_of_knowledge(A,B) = stock_of_knowledge(A,C)
| ~ organization(A) ),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c20,plain,
( stock_of_knowledge(X0,X1) = stock_of_knowledge(X0,X2)
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p95,plain,
stock_of_knowledge(sk1,X0) = stock_of_knowledge(sk1,X1),
inference(resolution,[status(thm)],[c20,c23]) ).
cnf(f16,axiom,
( smaller(capability(A,B),capability(A,C))
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_5_46) ).
fof(f16_nnf,plain,
! [A,B,C] :
( smaller(capability(A,B),capability(A,C))
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
! [A,B,C] :
( smaller(capability(A,B),capability(A,C))
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c16,plain,
( smaller(capability(X0,X1),capability(X0,X2))
| ~ greater(internal_friction(X0,X1),internal_friction(X0,X2))
| ~ smaller_or_equal(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p68,plain,
( smaller(capability(sk1,X0),capability(sk1,X1))
| ~ greater(internal_friction(sk1,X0),internal_friction(sk1,X1))
| ~ smaller_or_equal(stock_of_knowledge(sk1,X0),stock_of_knowledge(sk1,X1)) ),
inference(resolution,[status(thm)],[c16,c23]) ).
cnf(p100,plain,
( smaller(capability(sk1,X2),capability(sk1,X1))
| ~ greater(internal_friction(sk1,X2),internal_friction(sk1,X1))
| ~ smaller_or_equal(stock_of_knowledge(sk1,X0),stock_of_knowledge(sk1,X1)) ),
inference(superposition,[status(thm)],[p95,p68]) ).
cnf(f2,axiom,
( smaller_or_equal(A,B)
| A != B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal_3) ).
fof(f2_nnf,plain,
! [A,B] :
( smaller_or_equal(A,B)
| A != B ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [A,B] :
( smaller_or_equal(A,B)
| A != B ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( smaller_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p27,plain,
smaller_or_equal(X0,X0),
inference(equality_resolution,[status(thm)],[c2]) ).
cnf(p488,plain,
( smaller(capability(sk1,X0),capability(sk1,X1))
| ~ greater(internal_friction(sk1,X0),internal_friction(sk1,X1)) ),
inference(resolution,[status(thm)],[p100,p27]) ).
cnf(f22,axiom,
( greater(internal_friction(A,B),internal_friction(A,C))
| ~ greater(age(A,B),age(A,C))
| ~ organization(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_12_52) ).
fof(f22_nnf,plain,
! [A,B,C] :
( greater(internal_friction(A,B),internal_friction(A,C))
| ~ greater(age(A,B),age(A,C))
| ~ organization(A) ),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
! [A,B,C] :
( greater(internal_friction(A,B),internal_friction(A,C))
| ~ greater(age(A,B),age(A,C))
| ~ organization(A) ),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c22,plain,
( greater(internal_friction(X0,X1),internal_friction(X0,X2))
| ~ greater(age(X0,X1),age(X0,X2))
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(p111,plain,
( greater(internal_friction(sk1,X0),internal_friction(sk1,X1))
| ~ greater(age(sk1,X0),age(sk1,X1)) ),
inference(resolution,[status(thm)],[c22,c23]) ).
cnf(f25,negated_conjecture,
greater(age(sk1,sk3),age(sk1,sk2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_3_55) ).
fof(f25_nnf,plain,
greater(age(sk1,sk3),age(sk1,sk2)),
inference(nnf_transformation,[status(thm)],[f25]) ).
cnf(c25,plain,
greater(age(sk1,sk3),age(sk1,sk2)),
inference(cnf_transformation,[status(esa)],[f25_nnf]) ).
cnf(p113,plain,
greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2)),
inference(resolution,[status(thm)],[p111,c25]) ).
cnf(p490,plain,
smaller(capability(sk1,sk3),capability(sk1,sk2)),
inference(resolution,[status(thm)],[p488,p113]) ).
cnf(f6,axiom,
( greater(B,A)
| ~ smaller(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_7) ).
fof(f6_nnf,plain,
! [A,B] :
( greater(B,A)
| ~ smaller(A,B) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [A,B] :
( greater(B,A)
| ~ smaller(A,B) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p502,plain,
greater(capability(sk1,sk2),capability(sk1,sk3)),
inference(resolution,[status(thm)],[p490,c6]) ).
cnf(f12,axiom,
( smaller(hazard_of_mortality(A,C),hazard_of_mortality(A,B))
| ~ greater_or_equal(position(A,C),position(A,B))
| ~ greater(capability(A,C),capability(A,B))
| has_immunity(A,C)
| has_immunity(A,B)
| ~ organization(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_4_42) ).
fof(f12_nnf,plain,
! [A,B,C] :
( smaller(hazard_of_mortality(A,C),hazard_of_mortality(A,B))
| ~ greater_or_equal(position(A,C),position(A,B))
| ~ greater(capability(A,C),capability(A,B))
| has_immunity(A,C)
| has_immunity(A,B)
| ~ organization(A) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [A,B,C] :
( smaller(hazard_of_mortality(A,C),hazard_of_mortality(A,B))
| ~ greater_or_equal(position(A,C),position(A,B))
| ~ greater(capability(A,C),capability(A,B))
| has_immunity(A,C)
| has_immunity(A,B)
| ~ organization(A) ),
inference(skolemisation,[status(esa)],[f12_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)],[f12_sk]) ).
cnf(p45,plain,
( smaller(hazard_of_mortality(sk1,X1),hazard_of_mortality(sk1,X0))
| ~ greater_or_equal(position(sk1,X1),position(sk1,X0))
| ~ greater(capability(sk1,X1),capability(sk1,X0))
| has_immunity(sk1,X1)
| has_immunity(sk1,X0) ),
inference(resolution,[status(thm)],[c12,c23]) ).
cnf(p509,plain,
( smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3))
| ~ greater_or_equal(position(sk1,sk2),position(sk1,sk3))
| has_immunity(sk1,sk2)
| has_immunity(sk1,sk3) ),
inference(resolution,[status(thm)],[p502,p45]) ).
cnf(p2732,plain,
( smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3))
| ~ greater_or_equal(position(sk1,X0),position(sk1,sk3))
| has_immunity(sk1,sk2)
| has_immunity(sk1,sk3) ),
inference(superposition,[status(thm)],[p108,p509]) ).
cnf(f5,axiom,
( greater_or_equal(A,B)
| A != B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_greater_or_equal_6) ).
fof(f5_nnf,plain,
! [A,B] :
( greater_or_equal(A,B)
| A != B ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [A,B] :
( greater_or_equal(A,B)
| A != B ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( greater_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p29,plain,
greater_or_equal(X0,X0),
inference(equality_resolution,[status(thm)],[c5]) ).
cnf(p4563,plain,
( smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3))
| has_immunity(sk1,sk2)
| has_immunity(sk1,sk3) ),
inference(resolution,[status(thm)],[p2732,p29]) ).
cnf(p4586,plain,
( greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| has_immunity(sk1,sk2)
| has_immunity(sk1,sk3) ),
inference(resolution,[status(thm)],[p4563,c6]) ).
cnf(f26,negated_conjecture,
~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_3_56) ).
fof(f26_nnf,plain,
~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c26,plain,
~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
cnf(p4592,plain,
( has_immunity(sk1,sk2)
| has_immunity(sk1,sk3) ),
inference(resolution,[status(thm)],[p4586,c26]) ).
cnf(f11,axiom,
( ~ has_immunity(A,B)
| has_endowment(A)
| ~ organization(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_1_41) ).
fof(f11_nnf,plain,
! [A,B] :
( ~ has_immunity(A,B)
| has_endowment(A)
| ~ organization(A) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [A,B] :
( ~ has_immunity(A,B)
| has_endowment(A)
| ~ organization(A) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
( ~ has_immunity(X0,X1)
| has_endowment(X0)
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p35,plain,
( ~ has_immunity(sk1,X0)
| has_endowment(sk1) ),
inference(resolution,[status(thm)],[c11,c23]) ).
cnf(p4593,plain,
( has_endowment(sk1)
| has_immunity(sk1,sk3) ),
inference(resolution,[status(thm)],[p4592,p35]) ).
cnf(p4614,plain,
( has_endowment(sk1)
| has_endowment(sk1) ),
inference(resolution,[status(thm)],[p4593,p35]) ).
cnf(p4615,plain,
has_endowment(sk1),
inference(factoring,[status(thm)],[p4614]) ).
cnf(f24,negated_conjecture,
~ has_endowment(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_3_54) ).
fof(f24_nnf,plain,
~ has_endowment(sk1),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
~ has_endowment(sk1),
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c24,plain,
~ has_endowment(sk1),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(p4616,plain,
$false,
inference(resolution,[status(thm)],[p4615,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/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.36 % Computer : n009.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Thu Sep 24 01:13:28 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 32.82/4.89 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.82/4.89 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------