%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT005+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/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 02:11:15 PM UTC 2026
% Result : Theorem 5.96s 1.56s
% Output : Proof 5.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 11
% Syntax : Number of formulae : 129 ( 30 unt; 0 def)
% Number of atoms : 715 ( 26 equ)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 1002 ( 416 ~; 461 |; 115 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 12 con; 0-2 aty)
% Number of variables : 386 ( 11 sgn 171 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,hypothesis,
! [X,Y,Re,C,C1,C2,Ta,Tb,Tc] :
( ( greater(C2,C1)
& complexity(Y,C2,Ta)
& complexity(X,C1,Ta)
& reorganization_type(Y,Re,Ta)
& reorganization_type(X,Re,Ta)
& reorganization(Y,Ta,Tc)
& reorganization(X,Ta,Tb)
& class(Y,C,Ta)
& class(X,C,Ta)
& organization(Y,Tc)
& organization(Y,Ta)
& organization(X,Ta) )
=> greater(Tc,Tb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a10_FOL) ).
fof(f8_nnf,plain,
! [X,Y,Re,C,C1,C2,Ta,Tb,Tc] :
( greater(Tc,Tb)
| ~ greater(C2,C1)
| ~ complexity(Y,C2,Ta)
| ~ complexity(X,C1,Ta)
| ~ reorganization_type(Y,Re,Ta)
| ~ reorganization_type(X,Re,Ta)
| ~ reorganization(Y,Ta,Tc)
| ~ reorganization(X,Ta,Tb)
| ~ class(Y,C,Ta)
| ~ class(X,C,Ta)
| ~ organization(Y,Tc)
| ~ organization(Y,Ta)
| ~ organization(X,Ta) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [X,Ta,Y,Tc,C,Tb,Re,C1,C2] :
( greater(Tc,Tb)
| ~ greater(C2,C1)
| ~ complexity(Y,C2,Ta)
| ~ complexity(X,C1,Ta)
| ~ reorganization_type(Y,Re,Ta)
| ~ reorganization_type(X,Re,Ta)
| ~ reorganization(Y,Ta,Tc)
| ~ reorganization(X,Ta,Tb)
| ~ class(Y,C,Ta)
| ~ class(X,C,Ta)
| ~ organization(Y,Tc)
| ~ organization(Y,Ta)
| ~ organization(X,Ta) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( greater(X8,X7)
| ~ greater(X5,X4)
| ~ complexity(X1,X5,X6)
| ~ complexity(X0,X4,X6)
| ~ reorganization_type(X1,X2,X6)
| ~ reorganization_type(X0,X2,X6)
| ~ reorganization(X1,X6,X8)
| ~ reorganization(X0,X6,X7)
| ~ class(X1,X3,X6)
| ~ class(X0,X3,X6)
| ~ organization(X1,X8)
| ~ organization(X1,X6)
| ~ organization(X0,X6) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
fof(f10,conjecture,
! [X,Y,Re,C,P,P1,P2,C1,C2,Ta,Tb,Tc] :
( ( greater(C2,C1)
& complexity(Y,C2,Ta)
& complexity(X,C1,Ta)
& survival_chance(Y,P2,Tc)
& survival_chance(X,P1,Tc)
& reorganization_free(X,Tb,Tc)
& reorganization_type(Y,Re,Ta)
& reorganization_type(X,Re,Ta)
& reorganization(Y,Ta,Tc)
& reorganization(X,Ta,Tb)
& survival_chance(Y,P,Ta)
& survival_chance(X,P,Ta)
& class(Y,C,Ta)
& class(X,C,Ta)
& organization(Y,Tc)
& organization(X,Tc)
& organization(Y,Ta)
& organization(X,Ta) )
=> greater(P1,P2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_FOL) ).
fof(f10_neg,negated_conjecture,
~ ! [X,Y,Re,C,P,P1,P2,C1,C2,Ta,Tb,Tc] :
( ( greater(C2,C1)
& complexity(Y,C2,Ta)
& complexity(X,C1,Ta)
& survival_chance(Y,P2,Tc)
& survival_chance(X,P1,Tc)
& reorganization_free(X,Tb,Tc)
& reorganization_type(Y,Re,Ta)
& reorganization_type(X,Re,Ta)
& reorganization(Y,Ta,Tc)
& reorganization(X,Ta,Tb)
& survival_chance(Y,P,Ta)
& survival_chance(X,P,Ta)
& class(Y,C,Ta)
& class(X,C,Ta)
& organization(Y,Tc)
& organization(X,Tc)
& organization(Y,Ta)
& organization(X,Ta) )
=> greater(P1,P2) ),
inference(negated_conjecture,[status(cth)],[f10]) ).
fof(f10_nnf,plain,
? [X,Y,Re,C,P,P1,P2,C1,C2,Ta,Tb,Tc] :
( ~ greater(P1,P2)
& greater(C2,C1)
& complexity(Y,C2,Ta)
& complexity(X,C1,Ta)
& survival_chance(Y,P2,Tc)
& survival_chance(X,P1,Tc)
& reorganization_free(X,Tb,Tc)
& reorganization_type(Y,Re,Ta)
& reorganization_type(X,Re,Ta)
& reorganization(Y,Ta,Tc)
& reorganization(X,Ta,Tb)
& survival_chance(Y,P,Ta)
& survival_chance(X,P,Ta)
& class(Y,C,Ta)
& class(X,C,Ta)
& organization(Y,Tc)
& organization(X,Tc)
& organization(Y,Ta)
& organization(X,Ta) ),
inference(nnf_transformation,[status(thm)],[f10_neg]) ).
fof(f10_sk,plain,
( ~ greater(sk6,sk7)
& greater(sk9,sk8)
& complexity(sk2,sk9,sk10)
& complexity(sk1,sk8,sk10)
& survival_chance(sk2,sk7,sk12)
& survival_chance(sk1,sk6,sk12)
& reorganization_free(sk1,sk11,sk12)
& reorganization_type(sk2,sk3,sk10)
& reorganization_type(sk1,sk3,sk10)
& reorganization(sk2,sk10,sk12)
& reorganization(sk1,sk10,sk11)
& survival_chance(sk2,sk5,sk10)
& survival_chance(sk1,sk5,sk10)
& class(sk2,sk4,sk10)
& class(sk1,sk4,sk10)
& organization(sk2,sk12)
& organization(sk1,sk12)
& organization(sk2,sk10)
& organization(sk1,sk10) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk1,sk2,sk3,sk4,sk5,sk6,sk7,sk8,sk9,sk10,sk11,sk12])],[f10_nnf]) ).
cnf(c10,plain,
organization(sk1,sk10),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p66,plain,
( greater(X1,X3)
| ~ greater(X6,X5)
| ~ complexity(X0,X6,sk10)
| ~ complexity(sk1,X5,sk10)
| ~ reorganization_type(X0,X4,sk10)
| ~ reorganization_type(sk1,X4,sk10)
| ~ reorganization(X0,sk10,X1)
| ~ reorganization(sk1,sk10,X3)
| ~ class(X0,X2,sk10)
| ~ class(sk1,X2,sk10)
| ~ organization(X0,X1)
| ~ organization(X0,sk10) ),
inference(resolution,[status(thm)],[c8,c10]) ).
cnf(c11,plain,
organization(sk2,sk10),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p162,plain,
( greater(X0,X2)
| ~ greater(X5,X4)
| ~ complexity(sk2,X5,sk10)
| ~ complexity(sk1,X4,sk10)
| ~ reorganization_type(sk2,X3,sk10)
| ~ reorganization_type(sk1,X3,sk10)
| ~ reorganization(sk2,sk10,X0)
| ~ reorganization(sk1,sk10,X2)
| ~ class(sk2,X1,sk10)
| ~ class(sk1,X1,sk10)
| ~ organization(sk2,X0) ),
inference(resolution,[status(thm)],[p66,c11]) ).
cnf(c13,plain,
organization(sk2,sk12),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p378,plain,
( greater(sk12,X1)
| ~ greater(X4,X3)
| ~ complexity(sk2,X4,sk10)
| ~ complexity(sk1,X3,sk10)
| ~ reorganization_type(sk2,X2,sk10)
| ~ reorganization_type(sk1,X2,sk10)
| ~ reorganization(sk2,sk10,sk12)
| ~ reorganization(sk1,sk10,X1)
| ~ class(sk2,X0,sk10)
| ~ class(sk1,X0,sk10) ),
inference(resolution,[status(thm)],[p162,c13]) ).
cnf(c14,plain,
class(sk1,sk4,sk10),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p560,plain,
( greater(sk12,X0)
| ~ greater(X3,X2)
| ~ complexity(sk2,X3,sk10)
| ~ complexity(sk1,X2,sk10)
| ~ reorganization_type(sk2,X1,sk10)
| ~ reorganization_type(sk1,X1,sk10)
| ~ reorganization(sk2,sk10,sk12)
| ~ reorganization(sk1,sk10,X0)
| ~ class(sk2,sk4,sk10) ),
inference(resolution,[status(thm)],[p378,c14]) ).
cnf(c15,plain,
class(sk2,sk4,sk10),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p561,plain,
( greater(sk12,X0)
| ~ greater(X3,X2)
| ~ complexity(sk2,X3,sk10)
| ~ complexity(sk1,X2,sk10)
| ~ reorganization_type(sk2,X1,sk10)
| ~ reorganization_type(sk1,X1,sk10)
| ~ reorganization(sk2,sk10,sk12)
| ~ reorganization(sk1,sk10,X0) ),
inference(resolution,[status(thm)],[p560,c15]) ).
cnf(c18,plain,
reorganization(sk1,sk10,sk11),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p564,plain,
( greater(sk12,sk11)
| ~ greater(X2,X1)
| ~ complexity(sk2,X2,sk10)
| ~ complexity(sk1,X1,sk10)
| ~ reorganization_type(sk2,X0,sk10)
| ~ reorganization_type(sk1,X0,sk10)
| ~ reorganization(sk2,sk10,sk12) ),
inference(resolution,[status(thm)],[p561,c18]) ).
cnf(c19,plain,
reorganization(sk2,sk10,sk12),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p565,plain,
( greater(sk12,sk11)
| ~ greater(X2,X1)
| ~ complexity(sk2,X2,sk10)
| ~ complexity(sk1,X1,sk10)
| ~ reorganization_type(sk2,X0,sk10)
| ~ reorganization_type(sk1,X0,sk10) ),
inference(resolution,[status(thm)],[p564,c19]) ).
cnf(c20,plain,
reorganization_type(sk1,sk3,sk10),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p566,plain,
( greater(sk12,sk11)
| ~ greater(X1,X0)
| ~ complexity(sk2,X1,sk10)
| ~ complexity(sk1,X0,sk10)
| ~ reorganization_type(sk2,sk3,sk10) ),
inference(resolution,[status(thm)],[p565,c20]) ).
cnf(c21,plain,
reorganization_type(sk2,sk3,sk10),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p567,plain,
( greater(sk12,sk11)
| ~ greater(X1,X0)
| ~ complexity(sk2,X1,sk10)
| ~ complexity(sk1,X0,sk10) ),
inference(resolution,[status(thm)],[p566,c21]) ).
cnf(c25,plain,
complexity(sk1,sk8,sk10),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p575,plain,
( greater(sk12,sk11)
| ~ greater(X0,sk8)
| ~ complexity(sk2,X0,sk10) ),
inference(resolution,[status(thm)],[p567,c25]) ).
cnf(c26,plain,
complexity(sk2,sk9,sk10),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p576,plain,
( greater(sk12,sk11)
| ~ greater(sk9,sk8) ),
inference(resolution,[status(thm)],[p575,c26]) ).
cnf(c27,plain,
greater(sk9,sk8),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p577,plain,
greater(sk12,sk11),
inference(resolution,[status(thm)],[p576,c27]) ).
fof(f4,axiom,
! [X,T,T1,T2] :
( ( greater(T2,T)
& greater(T,T1)
& organization(X,T2)
& organization(X,T1) )
=> organization(X,T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp13) ).
fof(f4_nnf,plain,
! [X,T,T1,T2] :
( organization(X,T)
| ~ greater(T2,T)
| ~ greater(T,T1)
| ~ organization(X,T2)
| ~ organization(X,T1) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X,T1,T2,T] :
( organization(X,T)
| ~ greater(T2,T)
| ~ greater(T,T1)
| ~ organization(X,T2)
| ~ organization(X,T1) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( organization(X0,X1)
| ~ greater(X3,X1)
| ~ greater(X1,X2)
| ~ organization(X0,X3)
| ~ organization(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p37,plain,
( organization(sk1,X1)
| ~ greater(X0,X1)
| ~ greater(X1,sk10)
| ~ organization(sk1,X0) ),
inference(resolution,[status(thm)],[c4,c10]) ).
cnf(c12,plain,
organization(sk1,sk12),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p59,plain,
( organization(sk1,X0)
| ~ greater(sk12,X0)
| ~ greater(X0,sk10) ),
inference(resolution,[status(thm)],[p37,c12]) ).
fof(f5,axiom,
! [X,Ta,Tb] :
( reorganization(X,Ta,Tb)
=> greater(Tb,Ta) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp7) ).
fof(f5_nnf,plain,
! [X,Ta,Tb] :
( greater(Tb,Ta)
| ~ reorganization(X,Ta,Tb) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X,Ta,Tb] :
( greater(Tb,Ta)
| ~ reorganization(X,Ta,Tb) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( greater(X2,X1)
| ~ reorganization(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p41,plain,
greater(sk11,sk10),
inference(resolution,[status(thm)],[c5,c18]) ).
cnf(p60,plain,
( organization(sk1,sk11)
| ~ greater(sk12,sk11) ),
inference(resolution,[status(thm)],[p59,p41]) ).
cnf(p581,plain,
organization(sk1,sk11),
inference(resolution,[status(thm)],[p577,p60]) ).
fof(f9,hypothesis,
! [X,Y,Re,C,P,P1,P2,C1,C2,Ta,Tb,Tc] :
( ( greater(C2,C1)
& complexity(Y,C2,Ta)
& complexity(X,C1,Ta)
& survival_chance(Y,P2,Tb)
& survival_chance(X,P1,Tb)
& reorganization_type(Y,Re,Ta)
& reorganization_type(X,Re,Ta)
& reorganization(Y,Ta,Tc)
& reorganization(X,Ta,Tb)
& survival_chance(Y,P,Ta)
& survival_chance(X,P,Ta)
& class(Y,C,Ta)
& class(X,C,Ta)
& organization(Y,Tb)
& organization(X,Tb)
& organization(Y,Ta)
& organization(X,Ta) )
=> ( P1 = P2
| greater(P1,P2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a11_FOL) ).
fof(f9_nnf,plain,
! [X,Y,Re,C,P,P1,P2,C1,C2,Ta,Tb,Tc] :
( P1 = P2
| greater(P1,P2)
| ~ greater(C2,C1)
| ~ complexity(Y,C2,Ta)
| ~ complexity(X,C1,Ta)
| ~ survival_chance(Y,P2,Tb)
| ~ survival_chance(X,P1,Tb)
| ~ reorganization_type(Y,Re,Ta)
| ~ reorganization_type(X,Re,Ta)
| ~ reorganization(Y,Ta,Tc)
| ~ reorganization(X,Ta,Tb)
| ~ survival_chance(Y,P,Ta)
| ~ survival_chance(X,P,Ta)
| ~ class(Y,C,Ta)
| ~ class(X,C,Ta)
| ~ organization(Y,Tb)
| ~ organization(X,Tb)
| ~ organization(Y,Ta)
| ~ organization(X,Ta) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [X,Ta,Y,Tb,C,P,Tc,Re,P1,P2,C1,C2] :
( P1 = P2
| greater(P1,P2)
| ~ greater(C2,C1)
| ~ complexity(Y,C2,Ta)
| ~ complexity(X,C1,Ta)
| ~ survival_chance(Y,P2,Tb)
| ~ survival_chance(X,P1,Tb)
| ~ reorganization_type(Y,Re,Ta)
| ~ reorganization_type(X,Re,Ta)
| ~ reorganization(Y,Ta,Tc)
| ~ reorganization(X,Ta,Tb)
| ~ survival_chance(Y,P,Ta)
| ~ survival_chance(X,P,Ta)
| ~ class(Y,C,Ta)
| ~ class(X,C,Ta)
| ~ organization(Y,Tb)
| ~ organization(X,Tb)
| ~ organization(Y,Ta)
| ~ organization(X,Ta) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
( X5 = X6
| greater(X5,X6)
| ~ greater(X8,X7)
| ~ complexity(X1,X8,X9)
| ~ complexity(X0,X7,X9)
| ~ survival_chance(X1,X6,X10)
| ~ survival_chance(X0,X5,X10)
| ~ reorganization_type(X1,X2,X9)
| ~ reorganization_type(X0,X2,X9)
| ~ reorganization(X1,X9,X11)
| ~ reorganization(X0,X9,X10)
| ~ survival_chance(X1,X4,X9)
| ~ survival_chance(X0,X4,X9)
| ~ class(X1,X3,X9)
| ~ class(X0,X3,X9)
| ~ organization(X1,X10)
| ~ organization(X0,X10)
| ~ organization(X1,X9)
| ~ organization(X0,X9) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p82,plain,
( X6 = X7
| greater(X6,X7)
| ~ greater(X9,X8)
| ~ complexity(X0,X9,sk10)
| ~ complexity(sk1,X8,sk10)
| ~ survival_chance(X0,X7,X1)
| ~ survival_chance(sk1,X6,X1)
| ~ reorganization_type(X0,X5,sk10)
| ~ reorganization_type(sk1,X5,sk10)
| ~ reorganization(X0,sk10,X4)
| ~ reorganization(sk1,sk10,X1)
| ~ survival_chance(X0,X3,sk10)
| ~ survival_chance(sk1,X3,sk10)
| ~ class(X0,X2,sk10)
| ~ class(sk1,X2,sk10)
| ~ organization(X0,X1)
| ~ organization(sk1,X1)
| ~ organization(X0,sk10) ),
inference(resolution,[status(thm)],[c9,c10]) ).
cnf(p193,plain,
( X5 = X6
| greater(X5,X6)
| ~ greater(X8,X7)
| ~ complexity(sk2,X8,sk10)
| ~ complexity(sk1,X7,sk10)
| ~ survival_chance(sk2,X6,X0)
| ~ survival_chance(sk1,X5,X0)
| ~ reorganization_type(sk2,X4,sk10)
| ~ reorganization_type(sk1,X4,sk10)
| ~ reorganization(sk2,sk10,X3)
| ~ reorganization(sk1,sk10,X0)
| ~ survival_chance(sk2,X2,sk10)
| ~ survival_chance(sk1,X2,sk10)
| ~ class(sk2,X1,sk10)
| ~ class(sk1,X1,sk10)
| ~ organization(sk2,X0)
| ~ organization(sk1,X0) ),
inference(resolution,[status(thm)],[p82,c11]) ).
cnf(p605,plain,
( X4 = X5
| greater(X4,X5)
| ~ greater(X7,X6)
| ~ complexity(sk2,X7,sk10)
| ~ complexity(sk1,X6,sk10)
| ~ survival_chance(sk2,X5,sk11)
| ~ survival_chance(sk1,X4,sk11)
| ~ reorganization_type(sk2,X3,sk10)
| ~ reorganization_type(sk1,X3,sk10)
| ~ reorganization(sk2,sk10,X2)
| ~ reorganization(sk1,sk10,sk11)
| ~ survival_chance(sk2,X1,sk10)
| ~ survival_chance(sk1,X1,sk10)
| ~ class(sk2,X0,sk10)
| ~ class(sk1,X0,sk10)
| ~ organization(sk2,sk11) ),
inference(resolution,[status(thm)],[p581,p193]) ).
cnf(p38,plain,
( organization(sk2,X1)
| ~ greater(X0,X1)
| ~ greater(X1,sk10)
| ~ organization(sk2,X0) ),
inference(resolution,[status(thm)],[c4,c11]) ).
cnf(p70,plain,
( organization(sk2,X0)
| ~ greater(sk12,X0)
| ~ greater(X0,sk10) ),
inference(resolution,[status(thm)],[p38,c13]) ).
cnf(p71,plain,
( organization(sk2,sk11)
| ~ greater(sk12,sk11) ),
inference(resolution,[status(thm)],[p70,p41]) ).
cnf(p582,plain,
organization(sk2,sk11),
inference(resolution,[status(thm)],[p577,p71]) ).
cnf(p847,plain,
( X4 = X5
| greater(X4,X5)
| ~ greater(X7,X6)
| ~ complexity(sk2,X7,sk10)
| ~ complexity(sk1,X6,sk10)
| ~ survival_chance(sk2,X5,sk11)
| ~ survival_chance(sk1,X4,sk11)
| ~ reorganization_type(sk2,X3,sk10)
| ~ reorganization_type(sk1,X3,sk10)
| ~ reorganization(sk2,sk10,X2)
| ~ reorganization(sk1,sk10,sk11)
| ~ survival_chance(sk2,X1,sk10)
| ~ survival_chance(sk1,X1,sk10)
| ~ class(sk2,X0,sk10)
| ~ class(sk1,X0,sk10) ),
inference(resolution,[status(thm)],[p605,p582]) ).
cnf(p1078,plain,
( X3 = X4
| greater(X3,X4)
| ~ greater(X6,X5)
| ~ complexity(sk2,X6,sk10)
| ~ complexity(sk1,X5,sk10)
| ~ survival_chance(sk2,X4,sk11)
| ~ survival_chance(sk1,X3,sk11)
| ~ reorganization_type(sk2,X2,sk10)
| ~ reorganization_type(sk1,X2,sk10)
| ~ reorganization(sk2,sk10,X1)
| ~ reorganization(sk1,sk10,sk11)
| ~ survival_chance(sk2,X0,sk10)
| ~ survival_chance(sk1,X0,sk10)
| ~ class(sk2,sk4,sk10) ),
inference(resolution,[status(thm)],[p847,c14]) ).
cnf(p1079,plain,
( X3 = X4
| greater(X3,X4)
| ~ greater(X6,X5)
| ~ complexity(sk2,X6,sk10)
| ~ complexity(sk1,X5,sk10)
| ~ survival_chance(sk2,X4,sk11)
| ~ survival_chance(sk1,X3,sk11)
| ~ reorganization_type(sk2,X2,sk10)
| ~ reorganization_type(sk1,X2,sk10)
| ~ reorganization(sk2,sk10,X1)
| ~ reorganization(sk1,sk10,sk11)
| ~ survival_chance(sk2,X0,sk10)
| ~ survival_chance(sk1,X0,sk10) ),
inference(resolution,[status(thm)],[p1078,c15]) ).
cnf(c16,plain,
survival_chance(sk1,sk5,sk10),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p1080,plain,
( X2 = X3
| greater(X2,X3)
| ~ greater(X5,X4)
| ~ complexity(sk2,X5,sk10)
| ~ complexity(sk1,X4,sk10)
| ~ survival_chance(sk2,X3,sk11)
| ~ survival_chance(sk1,X2,sk11)
| ~ reorganization_type(sk2,X1,sk10)
| ~ reorganization_type(sk1,X1,sk10)
| ~ reorganization(sk2,sk10,X0)
| ~ reorganization(sk1,sk10,sk11)
| ~ survival_chance(sk2,sk5,sk10) ),
inference(resolution,[status(thm)],[p1079,c16]) ).
cnf(c17,plain,
survival_chance(sk2,sk5,sk10),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p1082,plain,
( X2 = X3
| greater(X2,X3)
| ~ greater(X5,X4)
| ~ complexity(sk2,X5,sk10)
| ~ complexity(sk1,X4,sk10)
| ~ survival_chance(sk2,X3,sk11)
| ~ survival_chance(sk1,X2,sk11)
| ~ reorganization_type(sk2,X1,sk10)
| ~ reorganization_type(sk1,X1,sk10)
| ~ reorganization(sk2,sk10,X0)
| ~ reorganization(sk1,sk10,sk11) ),
inference(resolution,[status(thm)],[p1080,c17]) ).
cnf(p1083,plain,
( X2 = X3
| greater(X2,X3)
| ~ greater(X5,X4)
| ~ complexity(sk2,X5,sk10)
| ~ complexity(sk1,X4,sk10)
| ~ survival_chance(sk2,X3,sk11)
| ~ survival_chance(sk1,X2,sk11)
| ~ reorganization_type(sk2,X1,sk10)
| ~ reorganization_type(sk1,X1,sk10)
| ~ reorganization(sk2,sk10,X0) ),
inference(resolution,[status(thm)],[p1082,c18]) ).
cnf(p1084,plain,
( X1 = X2
| greater(X1,X2)
| ~ greater(X4,X3)
| ~ complexity(sk2,X4,sk10)
| ~ complexity(sk1,X3,sk10)
| ~ survival_chance(sk2,X2,sk11)
| ~ survival_chance(sk1,X1,sk11)
| ~ reorganization_type(sk2,X0,sk10)
| ~ reorganization_type(sk1,X0,sk10) ),
inference(resolution,[status(thm)],[p1083,c19]) ).
cnf(p1086,plain,
( X0 = X1
| greater(X0,X1)
| ~ greater(X3,X2)
| ~ complexity(sk2,X3,sk10)
| ~ complexity(sk1,X2,sk10)
| ~ survival_chance(sk2,X1,sk11)
| ~ survival_chance(sk1,X0,sk11)
| ~ reorganization_type(sk2,sk3,sk10) ),
inference(resolution,[status(thm)],[p1084,c20]) ).
cnf(p1087,plain,
( X0 = X1
| greater(X0,X1)
| ~ greater(X3,X2)
| ~ complexity(sk2,X3,sk10)
| ~ complexity(sk1,X2,sk10)
| ~ survival_chance(sk2,X1,sk11)
| ~ survival_chance(sk1,X0,sk11) ),
inference(resolution,[status(thm)],[p1086,c21]) ).
fof(f3,axiom,
! [X,T] :
( organization(X,T)
=> ? [P] : survival_chance(X,P,T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp12) ).
fof(f3_nnf,plain,
! [X,T] :
( ? [P] : survival_chance(X,P,T)
| ~ organization(X,T) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X,T] :
( survival_chance(X,sk0(X,T),T)
| ~ organization(X,T) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f3_nnf]) ).
cnf(c3,plain,
( survival_chance(X0,sk0(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p584,plain,
survival_chance(sk1,sk0(sk1,sk11),sk11),
inference(resolution,[status(thm)],[p581,c3]) ).
cnf(p1088,plain,
( sk0(sk1,sk11) = X0
| greater(sk0(sk1,sk11),X0)
| ~ greater(X2,X1)
| ~ complexity(sk2,X2,sk10)
| ~ complexity(sk1,X1,sk10)
| ~ survival_chance(sk2,X0,sk11) ),
inference(resolution,[status(thm)],[p1087,p584]) ).
cnf(p614,plain,
survival_chance(sk2,sk0(sk2,sk11),sk11),
inference(resolution,[status(thm)],[p582,c3]) ).
cnf(p1089,plain,
( sk0(sk1,sk11) = sk0(sk2,sk11)
| greater(sk0(sk1,sk11),sk0(sk2,sk11))
| ~ greater(X1,X0)
| ~ complexity(sk2,X1,sk10)
| ~ complexity(sk1,X0,sk10) ),
inference(resolution,[status(thm)],[p1088,p614]) ).
cnf(p1091,plain,
( sk0(sk1,sk11) = sk0(sk2,sk11)
| greater(sk0(sk1,sk11),sk0(sk2,sk11))
| ~ greater(X0,sk8)
| ~ complexity(sk2,X0,sk10) ),
inference(resolution,[status(thm)],[p1089,c25]) ).
cnf(p1092,plain,
( sk0(sk1,sk11) = sk0(sk2,sk11)
| greater(sk0(sk1,sk11),sk0(sk2,sk11))
| ~ greater(sk9,sk8) ),
inference(resolution,[status(thm)],[p1091,c26]) ).
cnf(p1093,plain,
( sk0(sk1,sk11) = sk0(sk2,sk11)
| greater(sk0(sk1,sk11),sk0(sk2,sk11)) ),
inference(resolution,[status(thm)],[p1092,c27]) ).
fof(f6,hypothesis,
! [X,P1,P2,T1,T2] :
( ( greater(T2,T1)
& survival_chance(X,P2,T2)
& survival_chance(X,P1,T1)
& reorganization_free(X,T1,T2)
& organization(X,T2)
& organization(X,T1) )
=> greater(P2,P1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_FOL) ).
fof(f6_nnf,plain,
! [X,P1,P2,T1,T2] :
( greater(P2,P1)
| ~ greater(T2,T1)
| ~ survival_chance(X,P2,T2)
| ~ survival_chance(X,P1,T1)
| ~ reorganization_free(X,T1,T2)
| ~ organization(X,T2)
| ~ organization(X,T1) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X,T1,T2,P1,P2] :
( greater(P2,P1)
| ~ greater(T2,T1)
| ~ survival_chance(X,P2,T2)
| ~ survival_chance(X,P1,T1)
| ~ reorganization_free(X,T1,T2)
| ~ organization(X,T2)
| ~ organization(X,T1) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( greater(X2,X1)
| ~ greater(X4,X3)
| ~ survival_chance(X0,X2,X4)
| ~ survival_chance(X0,X1,X3)
| ~ reorganization_free(X0,X3,X4)
| ~ organization(X0,X4)
| ~ organization(X0,X3) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p586,plain,
( greater(X2,X1)
| ~ greater(X0,sk11)
| ~ survival_chance(sk1,X2,X0)
| ~ survival_chance(sk1,X1,sk11)
| ~ reorganization_free(sk1,sk11,X0)
| ~ organization(sk1,X0) ),
inference(resolution,[status(thm)],[p581,c6]) ).
cnf(p651,plain,
( greater(X1,X0)
| ~ greater(sk12,sk11)
| ~ survival_chance(sk1,X1,sk12)
| ~ survival_chance(sk1,X0,sk11)
| ~ reorganization_free(sk1,sk11,sk12) ),
inference(resolution,[status(thm)],[p586,c12]) ).
cnf(c22,plain,
reorganization_free(sk1,sk11,sk12),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p656,plain,
( greater(X1,X0)
| ~ greater(sk12,sk11)
| ~ survival_chance(sk1,X1,sk12)
| ~ survival_chance(sk1,X0,sk11) ),
inference(resolution,[status(thm)],[p651,c22]) ).
cnf(p657,plain,
( greater(X0,sk0(sk1,sk11))
| ~ greater(sk12,sk11)
| ~ survival_chance(sk1,X0,sk12) ),
inference(resolution,[status(thm)],[p656,p584]) ).
cnf(c23,plain,
survival_chance(sk1,sk6,sk12),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p658,plain,
( greater(sk6,sk0(sk1,sk11))
| ~ greater(sk12,sk11) ),
inference(resolution,[status(thm)],[p657,c23]) ).
cnf(p660,plain,
greater(sk6,sk0(sk1,sk11)),
inference(resolution,[status(thm)],[p658,p577]) ).
fof(f2,axiom,
! [X,Y,Z] :
( ( greater(Y,Z)
& greater(X,Y) )
=> greater(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp11) ).
fof(f2_nnf,plain,
! [X,Y,Z] :
( greater(X,Z)
| ~ greater(Y,Z)
| ~ greater(X,Y) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y,Z] :
( greater(X,Z)
| ~ greater(Y,Z)
| ~ greater(X,Y) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p664,plain,
( greater(sk6,X0)
| ~ greater(sk0(sk1,sk11),X0) ),
inference(resolution,[status(thm)],[p660,c2]) ).
cnf(p1096,plain,
( greater(sk6,sk0(sk2,sk11))
| sk0(sk1,sk11) = sk0(sk2,sk11) ),
inference(resolution,[status(thm)],[p1093,p664]) ).
fof(f7,hypothesis,
! [X,P1,P2,T1,T2,Ta,Tb] :
( ( ~ greater(T2,Tb)
& greater(T2,T1)
& ~ greater(Ta,T1)
& survival_chance(X,P2,T2)
& survival_chance(X,P1,T1)
& reorganization(X,Ta,Tb)
& organization(X,T2)
& organization(X,T1) )
=> greater(P1,P2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_FOL) ).
fof(f7_nnf,plain,
! [X,P1,P2,T1,T2,Ta,Tb] :
( greater(P1,P2)
| greater(T2,Tb)
| ~ greater(T2,T1)
| greater(Ta,T1)
| ~ survival_chance(X,P2,T2)
| ~ survival_chance(X,P1,T1)
| ~ reorganization(X,Ta,Tb)
| ~ organization(X,T2)
| ~ organization(X,T1) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X,T1,T2,Ta,Tb,P1,P2] :
( greater(P1,P2)
| greater(T2,Tb)
| ~ greater(T2,T1)
| greater(Ta,T1)
| ~ survival_chance(X,P2,T2)
| ~ survival_chance(X,P1,T1)
| ~ reorganization(X,Ta,Tb)
| ~ organization(X,T2)
| ~ organization(X,T1) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( greater(X1,X2)
| greater(X4,X6)
| ~ greater(X4,X3)
| greater(X5,X3)
| ~ survival_chance(X0,X2,X4)
| ~ survival_chance(X0,X1,X3)
| ~ reorganization(X0,X5,X6)
| ~ organization(X0,X4)
| ~ organization(X0,X3) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p617,plain,
( greater(X3,X4)
| greater(X0,X2)
| ~ greater(X0,sk11)
| greater(X1,sk11)
| ~ survival_chance(sk2,X4,X0)
| ~ survival_chance(sk2,X3,sk11)
| ~ reorganization(sk2,X1,X2)
| ~ organization(sk2,X0) ),
inference(resolution,[status(thm)],[p582,c7]) ).
cnf(p760,plain,
( greater(X2,X3)
| greater(sk12,X1)
| ~ greater(sk12,sk11)
| greater(X0,sk11)
| ~ survival_chance(sk2,X3,sk12)
| ~ survival_chance(sk2,X2,sk11)
| ~ reorganization(sk2,X0,X1) ),
inference(resolution,[status(thm)],[p617,c13]) ).
cnf(p761,plain,
( greater(X0,X1)
| greater(sk12,sk12)
| ~ greater(sk12,sk11)
| greater(sk10,sk11)
| ~ survival_chance(sk2,X1,sk12)
| ~ survival_chance(sk2,X0,sk11) ),
inference(resolution,[status(thm)],[p760,c19]) ).
cnf(p762,plain,
( greater(sk0(sk2,sk11),X0)
| greater(sk12,sk12)
| ~ greater(sk12,sk11)
| greater(sk10,sk11)
| ~ survival_chance(sk2,X0,sk12) ),
inference(resolution,[status(thm)],[p761,p614]) ).
cnf(c24,plain,
survival_chance(sk2,sk7,sk12),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p763,plain,
( greater(sk0(sk2,sk11),sk7)
| greater(sk12,sk12)
| ~ greater(sk12,sk11)
| greater(sk10,sk11) ),
inference(resolution,[status(thm)],[p762,c24]) ).
cnf(p769,plain,
( greater(sk0(sk2,sk11),sk7)
| greater(sk12,sk12)
| greater(sk10,sk11) ),
inference(resolution,[status(thm)],[p763,p577]) ).
cnf(p1111,plain,
( greater(sk0(sk1,sk11),sk7)
| greater(sk12,sk12)
| greater(sk10,sk11)
| greater(sk6,sk0(sk2,sk11)) ),
inference(superposition,[status(thm)],[p1096,p769]) ).
cnf(p1132,plain,
( greater(sk6,sk7)
| greater(sk12,sk12)
| greater(sk10,sk11)
| greater(sk6,sk0(sk2,sk11)) ),
inference(resolution,[status(thm)],[p1111,p664]) ).
cnf(p1137,plain,
( greater(sk6,X0)
| ~ greater(sk0(sk2,sk11),X0)
| greater(sk6,sk7)
| greater(sk12,sk12)
| greater(sk10,sk11) ),
inference(resolution,[status(thm)],[p1132,c2]) ).
cnf(p1190,plain,
( ~ greater(sk0(sk2,sk11),sk7)
| greater(sk6,sk7)
| greater(sk12,sk12)
| greater(sk10,sk11) ),
inference(factoring,[status(thm)],[p1137]) ).
cnf(p1197,plain,
( greater(sk12,sk12)
| greater(sk10,sk11)
| greater(sk6,sk7)
| greater(sk12,sk12)
| greater(sk10,sk11) ),
inference(resolution,[status(thm)],[p1190,p769]) ).
cnf(p1198,plain,
( greater(sk12,sk12)
| greater(sk6,sk7)
| greater(sk12,sk12)
| greater(sk10,sk11) ),
inference(factoring,[status(thm)],[p1197]) ).
cnf(p1200,plain,
( greater(sk6,sk7)
| greater(sk12,sk12)
| greater(sk10,sk11) ),
inference(factoring,[status(thm)],[p1198]) ).
fof(f0,axiom,
! [X,Y] :
~ ( X = Y
& greater(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp6_1) ).
fof(f0_nnf,plain,
! [X,Y] :
( X != Y
| ~ greater(X,Y) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,Y] :
( X != Y
| ~ greater(X,Y) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( X0 != X1
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p29,plain,
~ greater(X0,X0),
inference(equality_resolution,[status(thm)],[c0]) ).
cnf(p1202,plain,
( greater(sk6,sk7)
| greater(sk10,sk11) ),
inference(resolution,[status(thm)],[p1200,p29]) ).
fof(f1,axiom,
! [X,Y] :
~ ( greater(Y,X)
& greater(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp6_2) ).
fof(f1_nnf,plain,
! [X,Y] :
( ~ greater(Y,X)
| ~ greater(X,Y) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X,Y] :
( ~ greater(Y,X)
| ~ greater(X,Y) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p44,plain,
~ greater(sk10,sk11),
inference(resolution,[status(thm)],[p41,c1]) ).
cnf(p1207,plain,
greater(sk6,sk7),
inference(resolution,[status(thm)],[p1202,p44]) ).
cnf(c28,plain,
~ greater(sk6,sk7),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p1209,plain,
$false,
inference(resolution,[status(thm)],[p1207,c28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT005+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.58 % Computer : n015.cluster.edu
% 0.10/0.58 % Model : x86_64 x86_64
% 0.10/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.58 % Memory : 8046.5625MB
% 0.10/0.58 % OS : Linux 6.8.0-71-generic
% 0.10/0.58 % CPULimit : 300
% 0.10/0.58 % WCLimit : 300
% 0.10/0.58 % DateTime : Thu Sep 24 00:59:40 UTC 2026
% 0.10/0.58 % CPUTime :
% 0.10/0.58 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.96/1.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.96/1.56 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------