%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT017+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 : 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 02:11:19 PM UTC 2026
% Result : Theorem 25.38s 3.68s
% Output : Proof 25.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 5
% Syntax : Number of formulae : 122 ( 106 unt; 0 def)
% Number of atoms : 258 ( 92 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 208 ( 72 ~; 66 |; 65 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 3 avg)
% Maximal term depth : 14 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-4 aty)
% Number of variables : 301 ( 2 sgn 78 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,hypothesis,
! [X,Y,Rt,C,I1,I2,Ta,Tb,Tc] :
( ( greater(I2,I1)
& inertia(Y,I2,Ta)
& inertia(X,I1,Ta)
& reorganization_type(Y,Rt,Ta)
& reorganization_type(X,Rt,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',a13_FOL) ).
fof(f2_nnf,plain,
! [X,Y,Rt,C,I1,I2,Ta,Tb,Tc] :
( greater(Tc,Tb)
| ~ greater(I2,I1)
| ~ inertia(Y,I2,Ta)
| ~ inertia(X,I1,Ta)
| ~ reorganization_type(Y,Rt,Ta)
| ~ reorganization_type(X,Rt,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)],[f2]) ).
fof(f2_sk,plain,
! [X,Ta,Y,Tc,C,Tb,Rt,I1,I2] :
( greater(Tc,Tb)
| ~ greater(I2,I1)
| ~ inertia(Y,I2,Ta)
| ~ inertia(X,I1,Ta)
| ~ reorganization_type(Y,Rt,Ta)
| ~ reorganization_type(X,Rt,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)],[f2_nnf]) ).
cnf(c2,plain,
( greater(X8,X7)
| ~ greater(X5,X4)
| ~ inertia(X1,X5,X6)
| ~ inertia(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)],[f2_sk]) ).
cnf(t18,plain,
ifeq(organization(X1,X2),true,ifeq(organization(X3,X2),true,ifeq(organization(X3,X4),true,ifeq(class(X1,X5,X2),true,ifeq(class(X3,X5,X2),true,ifeq(reorganization(X1,X2,X6),true,ifeq(reorganization(X3,X2,X4),true,ifeq(reorganization_type(X1,X7,X2),true,ifeq(reorganization_type(X3,X7,X2),true,ifeq(inertia(X1,X8,X2),true,ifeq(inertia(X3,X9,X2),true,ifeq(greater(X9,X8),true,greater(X4,X6),true),true),true),true),true),true),true),true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(t21,plain,
ifeq(organization(X1,X2),true,ifeq(organization(X3,X2),true,ifeq(organization(X3,X4),true,ifeq(class(X1,X5,X2),true,ifeq(class(X3,X5,X2),true,ifeq(reorganization(X1,X2,X6),true,ifeq(reorganization(X3,X2,X4),true,ifeq(reorganization_type(X1,X7,X2),true,ifeq(reorganization_type(X3,X7,X2),true,ifeq(inertia(X1,X8,X2),true,ifeq(inertia(X3,X9,X2),true,ifeq(greater(X9,X8),true,greater(X4,X6),true),true),true),true),true),true),true),true),true),true),true),true) = true,
inference(orient,[status(thm)],[t18]) ).
fof(f0,axiom,
! [X,T] :
( organization(X,T)
=> ? [I] : inertia(X,I,T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp5) ).
fof(f0_nnf,plain,
! [X,T] :
( ? [I] : inertia(X,I,T)
| ~ organization(X,T) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,T] :
( inertia(X,sk0(X,T),T)
| ~ organization(X,T) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f0_nnf]) ).
cnf(c0,plain,
( inertia(X0,sk0(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi0,axiom,
ifeq(organization(X0,X1),true,inertia(X0,sk0(X0,X1),X1),true) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
fof(f3,conjecture,
! [X,Y,Rt,C,S1,S2,Ta,Tb,Tc] :
( ( greater(S2,S1)
& size(Y,S2,Ta)
& size(X,S1,Ta)
& reorganization_type(Y,Rt,Ta)
& reorganization_type(X,Rt,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',t17_FOL) ).
fof(f3_neg,negated_conjecture,
~ ! [X,Y,Rt,C,S1,S2,Ta,Tb,Tc] :
( ( greater(S2,S1)
& size(Y,S2,Ta)
& size(X,S1,Ta)
& reorganization_type(Y,Rt,Ta)
& reorganization_type(X,Rt,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) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f3_nnf,plain,
? [X,Y,Rt,C,S1,S2,Ta,Tb,Tc] :
( ~ greater(Tc,Tb)
& greater(S2,S1)
& size(Y,S2,Ta)
& size(X,S1,Ta)
& reorganization_type(Y,Rt,Ta)
& reorganization_type(X,Rt,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)],[f3_neg]) ).
fof(f3_sk,plain,
( ~ greater(sk9,sk8)
& greater(sk6,sk5)
& size(sk2,sk6,sk7)
& size(sk1,sk5,sk7)
& reorganization_type(sk2,sk3,sk7)
& reorganization_type(sk1,sk3,sk7)
& reorganization(sk2,sk7,sk9)
& reorganization(sk1,sk7,sk8)
& class(sk2,sk4,sk7)
& class(sk1,sk4,sk7)
& organization(sk2,sk9)
& organization(sk2,sk7)
& organization(sk1,sk7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk1,sk2,sk3,sk4,sk5,sk6,sk7,sk8,sk9])],[f3_nnf]) ).
cnf(c4,plain,
organization(sk2,sk7),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(hi4,negated_conjecture,
organization(sk2,sk7) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(t14,plain,
inertia(sk2,sk0(sk2,sk7),sk7) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi4]) ).
cnf(t44,plain,
inertia(sk2,sk0(sk2,sk7),sk7) = true,
inference(orient,[status(thm)],[t14]) ).
cnf(t48,plain,
true = ifeq(organization(X1,sk7),true,ifeq(organization(sk2,sk7),true,ifeq(organization(sk2,X2),true,ifeq(class(X1,X3,sk7),true,ifeq(class(sk2,X3,sk7),true,ifeq(reorganization(X1,sk7,X4),true,ifeq(reorganization(sk2,sk7,X2),true,ifeq(reorganization_type(X1,X5,sk7),true,ifeq(reorganization_type(sk2,X5,sk7),true,ifeq(inertia(X1,X6,sk7),true,ifeq(true,true,ifeq(greater(sk0(sk2,sk7),X6),true,greater(X2,X4),true),true),true),true),true),true),true),true),true),true),true),true),
inference(cp,[status(thm)],[t21,t44]) ).
cnf(t2,plain,
organization(sk2,sk7) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(t23,plain,
organization(sk2,sk7) = true,
inference(orient,[status(thm)],[t2]) ).
cnf(t5121,plain,
true = ifeq(organization(X1,sk7),true,ifeq(true,true,ifeq(organization(sk2,X2),true,ifeq(class(X1,X3,sk7),true,ifeq(class(sk2,X3,sk7),true,ifeq(reorganization(X1,sk7,X4),true,ifeq(reorganization(sk2,sk7,X2),true,ifeq(reorganization_type(X1,X5,sk7),true,ifeq(reorganization_type(sk2,X5,sk7),true,ifeq(inertia(X1,X6,sk7),true,ifeq(true,true,ifeq(greater(sk0(sk2,sk7),X6),true,greater(X2,X4),true),true),true),true),true),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t48,t23]) ).
cnf(t12,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t19,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t12]) ).
cnf(t5122,plain,
true = ifeq(organization(X1,sk7),true,ifeq(organization(sk2,X2),true,ifeq(class(X1,X3,sk7),true,ifeq(class(sk2,X3,sk7),true,ifeq(reorganization(X1,sk7,X4),true,ifeq(reorganization(sk2,sk7,X2),true,ifeq(reorganization_type(X1,X5,sk7),true,ifeq(reorganization_type(sk2,X5,sk7),true,ifeq(inertia(X1,X6,sk7),true,ifeq(true,true,ifeq(greater(sk0(sk2,sk7),X6),true,greater(X2,X4),true),true),true),true),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t5121,t19]) ).
cnf(t5123,plain,
true = ifeq(organization(X1,sk7),true,ifeq(organization(sk2,X2),true,ifeq(class(X1,X3,sk7),true,ifeq(class(sk2,X3,sk7),true,ifeq(reorganization(X1,sk7,X4),true,ifeq(reorganization(sk2,sk7,X2),true,ifeq(reorganization_type(X1,X5,sk7),true,ifeq(reorganization_type(sk2,X5,sk7),true,ifeq(inertia(X1,X6,sk7),true,ifeq(greater(sk0(sk2,sk7),X6),true,greater(X2,X4),true),true),true),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t5122,t19]) ).
cnf(t2984,plain,
ifeq(organization(X1,sk7),true,ifeq(organization(sk2,X2),true,ifeq(class(X1,X3,sk7),true,ifeq(class(sk2,X3,sk7),true,ifeq(reorganization(X1,sk7,X4),true,ifeq(reorganization(sk2,sk7,X2),true,ifeq(reorganization_type(X1,X5,sk7),true,ifeq(reorganization_type(sk2,X5,sk7),true,ifeq(inertia(X1,X6,sk7),true,ifeq(greater(sk0(sk2,sk7),X6),true,greater(X2,X4),true),true),true),true),true),true),true),true),true),true) = true,
inference(orient,[status(thm)],[t5123]) ).
cnf(c6,plain,
class(sk1,sk4,sk7),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t4,plain,
class(sk1,sk4,sk7) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(t64,plain,
class(sk1,sk4,sk7) = true,
inference(orient,[status(thm)],[t4]) ).
cnf(t2990,plain,
true = ifeq(organization(sk1,sk7),true,ifeq(organization(sk2,X1),true,ifeq(true,true,ifeq(class(sk2,sk4,sk7),true,ifeq(reorganization(sk1,sk7,X2),true,ifeq(reorganization(sk2,sk7,X1),true,ifeq(reorganization_type(sk1,X3,sk7),true,ifeq(reorganization_type(sk2,X3,sk7),true,ifeq(inertia(sk1,X4,sk7),true,ifeq(greater(sk0(sk2,sk7),X4),true,greater(X1,X2),true),true),true),true),true),true),true),true),true),true),
inference(cp,[status(thm)],[t2984,t64]) ).
cnf(c3,plain,
organization(sk1,sk7),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t1,plain,
organization(sk1,sk7) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(t37,plain,
organization(sk1,sk7) = true,
inference(orient,[status(thm)],[t1]) ).
cnf(t5311,plain,
true = ifeq(true,true,ifeq(organization(sk2,X1),true,ifeq(true,true,ifeq(class(sk2,sk4,sk7),true,ifeq(reorganization(sk1,sk7,X2),true,ifeq(reorganization(sk2,sk7,X1),true,ifeq(reorganization_type(sk1,X3,sk7),true,ifeq(reorganization_type(sk2,X3,sk7),true,ifeq(inertia(sk1,X4,sk7),true,ifeq(greater(sk0(sk2,sk7),X4),true,greater(X1,X2),true),true),true),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t2990,t37]) ).
cnf(t5312,plain,
true = ifeq(organization(sk2,X1),true,ifeq(true,true,ifeq(class(sk2,sk4,sk7),true,ifeq(reorganization(sk1,sk7,X2),true,ifeq(reorganization(sk2,sk7,X1),true,ifeq(reorganization_type(sk1,X3,sk7),true,ifeq(reorganization_type(sk2,X3,sk7),true,ifeq(inertia(sk1,X4,sk7),true,ifeq(greater(sk0(sk2,sk7),X4),true,greater(X1,X2),true),true),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t5311,t19]) ).
cnf(t5313,plain,
true = ifeq(organization(sk2,X1),true,ifeq(class(sk2,sk4,sk7),true,ifeq(reorganization(sk1,sk7,X2),true,ifeq(reorganization(sk2,sk7,X1),true,ifeq(reorganization_type(sk1,X3,sk7),true,ifeq(reorganization_type(sk2,X3,sk7),true,ifeq(inertia(sk1,X4,sk7),true,ifeq(greater(sk0(sk2,sk7),X4),true,greater(X1,X2),true),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t5312,t19]) ).
cnf(c7,plain,
class(sk2,sk4,sk7),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t5,plain,
class(sk2,sk4,sk7) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(t59,plain,
class(sk2,sk4,sk7) = true,
inference(orient,[status(thm)],[t5]) ).
cnf(t5314,plain,
true = ifeq(organization(sk2,X1),true,ifeq(true,true,ifeq(reorganization(sk1,sk7,X2),true,ifeq(reorganization(sk2,sk7,X1),true,ifeq(reorganization_type(sk1,X3,sk7),true,ifeq(reorganization_type(sk2,X3,sk7),true,ifeq(inertia(sk1,X4,sk7),true,ifeq(greater(sk0(sk2,sk7),X4),true,greater(X1,X2),true),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t5313,t59]) ).
cnf(t5315,plain,
true = ifeq(organization(sk2,X1),true,ifeq(reorganization(sk1,sk7,X2),true,ifeq(reorganization(sk2,sk7,X1),true,ifeq(reorganization_type(sk1,X3,sk7),true,ifeq(reorganization_type(sk2,X3,sk7),true,ifeq(inertia(sk1,X4,sk7),true,ifeq(greater(sk0(sk2,sk7),X4),true,greater(X1,X2),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t5314,t19]) ).
cnf(t3921,plain,
ifeq(organization(sk2,X1),true,ifeq(reorganization(sk1,sk7,X2),true,ifeq(reorganization(sk2,sk7,X1),true,ifeq(reorganization_type(sk1,X3,sk7),true,ifeq(reorganization_type(sk2,X3,sk7),true,ifeq(inertia(sk1,X4,sk7),true,ifeq(greater(sk0(sk2,sk7),X4),true,greater(X1,X2),true),true),true),true),true),true),true) = true,
inference(orient,[status(thm)],[t5315]) ).
cnf(c8,plain,
reorganization(sk1,sk7,sk8),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t6,plain,
reorganization(sk1,sk7,sk8) = true,
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(t83,plain,
reorganization(sk1,sk7,sk8) = true,
inference(orient,[status(thm)],[t6]) ).
cnf(t3924,plain,
true = ifeq(organization(sk2,X1),true,ifeq(true,true,ifeq(reorganization(sk2,sk7,X1),true,ifeq(reorganization_type(sk1,X2,sk7),true,ifeq(reorganization_type(sk2,X2,sk7),true,ifeq(inertia(sk1,X3,sk7),true,ifeq(greater(sk0(sk2,sk7),X3),true,greater(X1,sk8),true),true),true),true),true),true),true),
inference(cp,[status(thm)],[t3921,t83]) ).
cnf(t5316,plain,
true = ifeq(organization(sk2,X1),true,ifeq(reorganization(sk2,sk7,X1),true,ifeq(reorganization_type(sk1,X2,sk7),true,ifeq(reorganization_type(sk2,X2,sk7),true,ifeq(inertia(sk1,X3,sk7),true,ifeq(greater(sk0(sk2,sk7),X3),true,greater(X1,sk8),true),true),true),true),true),true),
inference(step,[status(thm)],[t3924,t19]) ).
cnf(t3932,plain,
ifeq(organization(sk2,X1),true,ifeq(reorganization(sk2,sk7,X1),true,ifeq(reorganization_type(sk1,X2,sk7),true,ifeq(reorganization_type(sk2,X2,sk7),true,ifeq(inertia(sk1,X3,sk7),true,ifeq(greater(sk0(sk2,sk7),X3),true,greater(X1,sk8),true),true),true),true),true),true) = true,
inference(orient,[status(thm)],[t5316]) ).
cnf(hi3,negated_conjecture,
organization(sk1,sk7) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(t13,plain,
inertia(sk1,sk0(sk1,sk7),sk7) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi3]) ).
cnf(t54,plain,
inertia(sk1,sk0(sk1,sk7),sk7) = true,
inference(orient,[status(thm)],[t13]) ).
cnf(t3938,plain,
true = ifeq(organization(sk2,X1),true,ifeq(reorganization(sk2,sk7,X1),true,ifeq(reorganization_type(sk1,X2,sk7),true,ifeq(reorganization_type(sk2,X2,sk7),true,ifeq(true,true,ifeq(greater(sk0(sk2,sk7),sk0(sk1,sk7)),true,greater(X1,sk8),true),true),true),true),true),true),
inference(cp,[status(thm)],[t3932,t54]) ).
cnf(t5317,plain,
true = ifeq(organization(sk2,X1),true,ifeq(reorganization(sk2,sk7,X1),true,ifeq(reorganization_type(sk1,X2,sk7),true,ifeq(reorganization_type(sk2,X2,sk7),true,ifeq(greater(sk0(sk2,sk7),sk0(sk1,sk7)),true,greater(X1,sk8),true),true),true),true),true),
inference(step,[status(thm)],[t3938,t19]) ).
fof(f1,hypothesis,
! [X,Y,C,S1,S2,I1,I2,T1,T2] :
( ( greater(S2,S1)
& inertia(Y,I2,T2)
& inertia(X,I1,T1)
& size(Y,S2,T2)
& size(X,S1,T1)
& class(Y,C,T2)
& class(X,C,T1)
& organization(Y,T2)
& organization(X,T1) )
=> greater(I2,I1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5_FOL) ).
fof(f1_nnf,plain,
! [X,Y,C,S1,S2,I1,I2,T1,T2] :
( greater(I2,I1)
| ~ greater(S2,S1)
| ~ inertia(Y,I2,T2)
| ~ inertia(X,I1,T1)
| ~ size(Y,S2,T2)
| ~ size(X,S1,T1)
| ~ class(Y,C,T2)
| ~ class(X,C,T1)
| ~ organization(Y,T2)
| ~ organization(X,T1) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X,T1,Y,T2,C,S1,S2,I1,I2] :
( greater(I2,I1)
| ~ greater(S2,S1)
| ~ inertia(Y,I2,T2)
| ~ inertia(X,I1,T1)
| ~ size(Y,S2,T2)
| ~ size(X,S1,T1)
| ~ class(Y,C,T2)
| ~ class(X,C,T1)
| ~ organization(Y,T2)
| ~ organization(X,T1) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( greater(X6,X5)
| ~ greater(X4,X3)
| ~ inertia(X1,X6,X8)
| ~ inertia(X0,X5,X7)
| ~ size(X1,X4,X8)
| ~ size(X0,X3,X7)
| ~ class(X1,X2,X8)
| ~ class(X0,X2,X7)
| ~ organization(X1,X8)
| ~ organization(X0,X7) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(t17,plain,
ifeq(organization(X1,X2),true,ifeq(organization(X3,X4),true,ifeq(class(X1,X5,X2),true,ifeq(class(X3,X5,X4),true,ifeq(size(X1,X6,X2),true,ifeq(size(X3,X7,X4),true,ifeq(inertia(X1,X8,X2),true,ifeq(inertia(X3,X9,X4),true,ifeq(greater(X7,X6),true,greater(X9,X8),true),true),true),true),true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(t20,plain,
ifeq(organization(X1,X2),true,ifeq(organization(X3,X4),true,ifeq(class(X1,X5,X2),true,ifeq(class(X3,X5,X4),true,ifeq(size(X1,X6,X2),true,ifeq(size(X3,X7,X4),true,ifeq(inertia(X1,X8,X2),true,ifeq(inertia(X3,X9,X4),true,ifeq(greater(X7,X6),true,greater(X9,X8),true),true),true),true),true),true),true),true),true) = true,
inference(orient,[status(thm)],[t17]) ).
cnf(t26,plain,
true = ifeq(organization(X1,X2),true,ifeq(true,true,ifeq(class(X1,X3,X2),true,ifeq(class(sk2,X3,sk7),true,ifeq(size(X1,X4,X2),true,ifeq(size(sk2,X5,sk7),true,ifeq(inertia(X1,X6,X2),true,ifeq(inertia(sk2,X7,sk7),true,ifeq(greater(X5,X4),true,greater(X7,X6),true),true),true),true),true),true),true),true),true),
inference(cp,[status(thm)],[t20,t23]) ).
cnf(t4389,plain,
true = ifeq(organization(X1,X2),true,ifeq(class(X1,X3,X2),true,ifeq(class(sk2,X3,sk7),true,ifeq(size(X1,X4,X2),true,ifeq(size(sk2,X5,sk7),true,ifeq(inertia(X1,X6,X2),true,ifeq(inertia(sk2,X7,sk7),true,ifeq(greater(X5,X4),true,greater(X7,X6),true),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t26,t19]) ).
cnf(t293,plain,
ifeq(organization(X1,X2),true,ifeq(class(X1,X3,X2),true,ifeq(class(sk2,X3,sk7),true,ifeq(size(X1,X4,X2),true,ifeq(size(sk2,X5,sk7),true,ifeq(inertia(X1,X6,X2),true,ifeq(inertia(sk2,X7,sk7),true,ifeq(greater(X5,X4),true,greater(X7,X6),true),true),true),true),true),true),true),true) = true,
inference(orient,[status(thm)],[t4389]) ).
cnf(t298,plain,
true = ifeq(organization(sk1,sk7),true,ifeq(true,true,ifeq(class(sk2,sk4,sk7),true,ifeq(size(sk1,X1,sk7),true,ifeq(size(sk2,X2,sk7),true,ifeq(inertia(sk1,X3,sk7),true,ifeq(inertia(sk2,X4,sk7),true,ifeq(greater(X2,X1),true,greater(X4,X3),true),true),true),true),true),true),true),true),
inference(cp,[status(thm)],[t293,t64]) ).
cnf(t4436,plain,
true = ifeq(true,true,ifeq(true,true,ifeq(class(sk2,sk4,sk7),true,ifeq(size(sk1,X1,sk7),true,ifeq(size(sk2,X2,sk7),true,ifeq(inertia(sk1,X3,sk7),true,ifeq(inertia(sk2,X4,sk7),true,ifeq(greater(X2,X1),true,greater(X4,X3),true),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t298,t37]) ).
cnf(t4437,plain,
true = ifeq(true,true,ifeq(class(sk2,sk4,sk7),true,ifeq(size(sk1,X1,sk7),true,ifeq(size(sk2,X2,sk7),true,ifeq(inertia(sk1,X3,sk7),true,ifeq(inertia(sk2,X4,sk7),true,ifeq(greater(X2,X1),true,greater(X4,X3),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t4436,t19]) ).
cnf(t4438,plain,
true = ifeq(class(sk2,sk4,sk7),true,ifeq(size(sk1,X1,sk7),true,ifeq(size(sk2,X2,sk7),true,ifeq(inertia(sk1,X3,sk7),true,ifeq(inertia(sk2,X4,sk7),true,ifeq(greater(X2,X1),true,greater(X4,X3),true),true),true),true),true),true),
inference(step,[status(thm)],[t4437,t19]) ).
cnf(t4439,plain,
true = ifeq(true,true,ifeq(size(sk1,X1,sk7),true,ifeq(size(sk2,X2,sk7),true,ifeq(inertia(sk1,X3,sk7),true,ifeq(inertia(sk2,X4,sk7),true,ifeq(greater(X2,X1),true,greater(X4,X3),true),true),true),true),true),true),
inference(step,[status(thm)],[t4438,t59]) ).
cnf(t4440,plain,
true = ifeq(size(sk1,X1,sk7),true,ifeq(size(sk2,X2,sk7),true,ifeq(inertia(sk1,X3,sk7),true,ifeq(inertia(sk2,X4,sk7),true,ifeq(greater(X2,X1),true,greater(X4,X3),true),true),true),true),true),
inference(step,[status(thm)],[t4439,t19]) ).
cnf(t374,plain,
ifeq(size(sk1,X1,sk7),true,ifeq(size(sk2,X2,sk7),true,ifeq(inertia(sk1,X3,sk7),true,ifeq(inertia(sk2,X4,sk7),true,ifeq(greater(X2,X1),true,greater(X4,X3),true),true),true),true),true) = true,
inference(orient,[status(thm)],[t4440]) ).
cnf(c14,plain,
greater(sk6,sk5),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t0,plain,
greater(sk6,sk5) = true,
inference(equality_encoding,[status(esa)],[c14]) ).
cnf(t69,plain,
greater(sk6,sk5) = true,
inference(orient,[status(thm)],[t0]) ).
cnf(t379,plain,
true = ifeq(size(sk1,sk5,sk7),true,ifeq(size(sk2,sk6,sk7),true,ifeq(inertia(sk1,X1,sk7),true,ifeq(inertia(sk2,X2,sk7),true,ifeq(true,true,greater(X2,X1),true),true),true),true),true),
inference(cp,[status(thm)],[t374,t69]) ).
cnf(c12,plain,
size(sk1,sk5,sk7),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t10,plain,
size(sk1,sk5,sk7) = true,
inference(equality_encoding,[status(esa)],[c12]) ).
cnf(t77,plain,
size(sk1,sk5,sk7) = true,
inference(orient,[status(thm)],[t10]) ).
cnf(t4441,plain,
true = ifeq(true,true,ifeq(size(sk2,sk6,sk7),true,ifeq(inertia(sk1,X1,sk7),true,ifeq(inertia(sk2,X2,sk7),true,ifeq(true,true,greater(X2,X1),true),true),true),true),true),
inference(step,[status(thm)],[t379,t77]) ).
cnf(t4442,plain,
true = ifeq(size(sk2,sk6,sk7),true,ifeq(inertia(sk1,X1,sk7),true,ifeq(inertia(sk2,X2,sk7),true,ifeq(true,true,greater(X2,X1),true),true),true),true),
inference(step,[status(thm)],[t4441,t19]) ).
cnf(c13,plain,
size(sk2,sk6,sk7),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t11,plain,
size(sk2,sk6,sk7) = true,
inference(equality_encoding,[status(esa)],[c13]) ).
cnf(t74,plain,
size(sk2,sk6,sk7) = true,
inference(orient,[status(thm)],[t11]) ).
cnf(t4443,plain,
true = ifeq(true,true,ifeq(inertia(sk1,X1,sk7),true,ifeq(inertia(sk2,X2,sk7),true,ifeq(true,true,greater(X2,X1),true),true),true),true),
inference(step,[status(thm)],[t4442,t74]) ).
cnf(t4444,plain,
true = ifeq(inertia(sk1,X1,sk7),true,ifeq(inertia(sk2,X2,sk7),true,ifeq(true,true,greater(X2,X1),true),true),true),
inference(step,[status(thm)],[t4443,t19]) ).
cnf(t4445,plain,
true = ifeq(inertia(sk1,X1,sk7),true,ifeq(inertia(sk2,X2,sk7),true,greater(X2,X1),true),true),
inference(step,[status(thm)],[t4444,t19]) ).
cnf(t381,plain,
ifeq(inertia(sk1,X1,sk7),true,ifeq(inertia(sk2,X2,sk7),true,greater(X2,X1),true),true) = true,
inference(orient,[status(thm)],[t4445]) ).
cnf(t382,plain,
true = ifeq(true,true,ifeq(inertia(sk2,X1,sk7),true,greater(X1,sk0(sk1,sk7)),true),true),
inference(cp,[status(thm)],[t381,t54]) ).
cnf(t4446,plain,
true = ifeq(inertia(sk2,X1,sk7),true,greater(X1,sk0(sk1,sk7)),true),
inference(step,[status(thm)],[t382,t19]) ).
cnf(t385,plain,
ifeq(inertia(sk2,X1,sk7),true,greater(X1,sk0(sk1,sk7)),true) = true,
inference(orient,[status(thm)],[t4446]) ).
cnf(t386,plain,
true = ifeq(true,true,greater(sk0(sk2,sk7),sk0(sk1,sk7)),true),
inference(cp,[status(thm)],[t385,t44]) ).
cnf(t4447,plain,
true = greater(sk0(sk2,sk7),sk0(sk1,sk7)),
inference(step,[status(thm)],[t386,t19]) ).
cnf(t388,plain,
greater(sk0(sk2,sk7),sk0(sk1,sk7)) = true,
inference(orient,[status(thm)],[t4447]) ).
cnf(t5318,plain,
true = ifeq(organization(sk2,X1),true,ifeq(reorganization(sk2,sk7,X1),true,ifeq(reorganization_type(sk1,X2,sk7),true,ifeq(reorganization_type(sk2,X2,sk7),true,ifeq(true,true,greater(X1,sk8),true),true),true),true),true),
inference(step,[status(thm)],[t5317,t388]) ).
cnf(t5319,plain,
true = ifeq(organization(sk2,X1),true,ifeq(reorganization(sk2,sk7,X1),true,ifeq(reorganization_type(sk1,X2,sk7),true,ifeq(reorganization_type(sk2,X2,sk7),true,greater(X1,sk8),true),true),true),true),
inference(step,[status(thm)],[t5318,t19]) ).
cnf(t3940,plain,
ifeq(organization(sk2,X1),true,ifeq(reorganization(sk2,sk7,X1),true,ifeq(reorganization_type(sk1,X2,sk7),true,ifeq(reorganization_type(sk2,X2,sk7),true,greater(X1,sk8),true),true),true),true) = true,
inference(orient,[status(thm)],[t5319]) ).
cnf(c10,plain,
reorganization_type(sk1,sk3,sk7),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t8,plain,
reorganization_type(sk1,sk3,sk7) = true,
inference(equality_encoding,[status(esa)],[c10]) ).
cnf(t89,plain,
reorganization_type(sk1,sk3,sk7) = true,
inference(orient,[status(thm)],[t8]) ).
cnf(t3944,plain,
true = ifeq(organization(sk2,X1),true,ifeq(reorganization(sk2,sk7,X1),true,ifeq(true,true,ifeq(reorganization_type(sk2,sk3,sk7),true,greater(X1,sk8),true),true),true),true),
inference(cp,[status(thm)],[t3940,t89]) ).
cnf(t5320,plain,
true = ifeq(organization(sk2,X1),true,ifeq(reorganization(sk2,sk7,X1),true,ifeq(reorganization_type(sk2,sk3,sk7),true,greater(X1,sk8),true),true),true),
inference(step,[status(thm)],[t3944,t19]) ).
cnf(c11,plain,
reorganization_type(sk2,sk3,sk7),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t9,plain,
reorganization_type(sk2,sk3,sk7) = true,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(t86,plain,
reorganization_type(sk2,sk3,sk7) = true,
inference(orient,[status(thm)],[t9]) ).
cnf(t5321,plain,
true = ifeq(organization(sk2,X1),true,ifeq(reorganization(sk2,sk7,X1),true,ifeq(true,true,greater(X1,sk8),true),true),true),
inference(step,[status(thm)],[t5320,t86]) ).
cnf(t5322,plain,
true = ifeq(organization(sk2,X1),true,ifeq(reorganization(sk2,sk7,X1),true,greater(X1,sk8),true),true),
inference(step,[status(thm)],[t5321,t19]) ).
cnf(t3946,plain,
ifeq(organization(sk2,X1),true,ifeq(reorganization(sk2,sk7,X1),true,greater(X1,sk8),true),true) = true,
inference(orient,[status(thm)],[t5322]) ).
cnf(c5,plain,
organization(sk2,sk9),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t3,plain,
organization(sk2,sk9) = true,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(t30,plain,
organization(sk2,sk9) = true,
inference(orient,[status(thm)],[t3]) ).
cnf(t3948,plain,
true = ifeq(true,true,ifeq(reorganization(sk2,sk7,sk9),true,greater(sk9,sk8),true),true),
inference(cp,[status(thm)],[t3946,t30]) ).
cnf(t5323,plain,
true = ifeq(reorganization(sk2,sk7,sk9),true,greater(sk9,sk8),true),
inference(step,[status(thm)],[t3948,t19]) ).
cnf(c9,plain,
reorganization(sk2,sk7,sk9),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t7,plain,
reorganization(sk2,sk7,sk9) = true,
inference(equality_encoding,[status(esa)],[c9]) ).
cnf(t80,plain,
reorganization(sk2,sk7,sk9) = true,
inference(orient,[status(thm)],[t7]) ).
cnf(t5324,plain,
true = ifeq(true,true,greater(sk9,sk8),true),
inference(step,[status(thm)],[t5323,t80]) ).
cnf(t5325,plain,
true = greater(sk9,sk8),
inference(step,[status(thm)],[t5324,t19]) ).
cnf(t3950,plain,
greater(sk9,sk8) = true,
inference(orient,[status(thm)],[t5325]) ).
cnf(c15,plain,
~ greater(sk9,sk8),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(goal_0,negated_conjecture,
greater(sk9,sk8) != true,
inference(equality_encoding,[status(esa)],[c15]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t3950]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT017+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % 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 01:05:36 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 25.38/3.68 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.38/3.68 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------