%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT009+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 : n002.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 02:11:16 PM UTC 2026
% Result : Theorem 19.26s 18.05s
% Output : Proof 19.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 5
% Syntax : Number of formulae : 112 ( 96 unt; 0 def)
% Number of atoms : 236 ( 83 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 189 ( 65 ~; 59 |; 59 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 3 avg)
% Maximal term depth : 10 ( 1 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 : 273 ( 2 sgn 75 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,hypothesis,
! [X,Y,T1,T2,Rp1,Rp2,I1,I2] :
( ( inertia(Y,I2,T2)
& inertia(X,I1,T1)
& reproducibility(Y,Rp2,T2)
& reproducibility(X,Rp1,T1)
& reorganization_free(Y,T2,T2)
& reorganization_free(X,T1,T1)
& organization(Y,T2)
& organization(X,T1) )
=> ( greater(Rp2,Rp1)
<=> greater(I2,I1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3_FOL) ).
fof(f1_nnf,plain,
! [X,Y,T1,T2,Rp1,Rp2,I1,I2] :
( ( ( ~ greater(I2,I1)
| greater(Rp2,Rp1) )
& ( greater(I2,I1)
| ~ greater(Rp2,Rp1) ) )
| ~ inertia(Y,I2,T2)
| ~ inertia(X,I1,T1)
| ~ reproducibility(Y,Rp2,T2)
| ~ reproducibility(X,Rp1,T1)
| ~ reorganization_free(Y,T2,T2)
| ~ reorganization_free(X,T1,T1)
| ~ organization(Y,T2)
| ~ organization(X,T1) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X,T1,Y,T2,Rp1,Rp2,I1,I2] :
( ( ( ~ greater(I2,I1)
| greater(Rp2,Rp1) )
& ( greater(I2,I1)
| ~ greater(Rp2,Rp1) ) )
| ~ inertia(Y,I2,T2)
| ~ inertia(X,I1,T1)
| ~ reproducibility(Y,Rp2,T2)
| ~ reproducibility(X,Rp1,T1)
| ~ reorganization_free(Y,T2,T2)
| ~ reorganization_free(X,T1,T1)
| ~ organization(Y,T2)
| ~ organization(X,T1) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c2,plain,
( ~ greater(X7,X6)
| greater(X5,X4)
| ~ inertia(X1,X7,X3)
| ~ inertia(X0,X6,X2)
| ~ reproducibility(X1,X5,X3)
| ~ reproducibility(X0,X4,X2)
| ~ reorganization_free(X1,X3,X3)
| ~ reorganization_free(X0,X2,X2)
| ~ organization(X1,X3)
| ~ organization(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(t17,plain,
ifeq(organization(X1,X2),true,ifeq(organization(X3,X4),true,ifeq(reorganization_free(X1,X2,X2),true,ifeq(reorganization_free(X3,X4,X4),true,ifeq(reproducibility(X1,X5,X2),true,ifeq(reproducibility(X3,X6,X4),true,ifeq(inertia(X1,X7,X2),true,ifeq(inertia(X3,X8,X4),true,ifeq(greater(X8,X7),true,greater(X6,X5),true),true),true),true),true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(t19,plain,
ifeq(organization(X1,X2),true,ifeq(organization(X3,X4),true,ifeq(reorganization_free(X1,X2,X2),true,ifeq(reorganization_free(X3,X4,X4),true,ifeq(reproducibility(X1,X5,X2),true,ifeq(reproducibility(X3,X6,X4),true,ifeq(inertia(X1,X7,X2),true,ifeq(inertia(X3,X8,X4),true,ifeq(greater(X8,X7),true,greater(X6,X5),true),true),true),true),true),true),true),true),true) = true,
inference(orient,[status(thm)],[t17]) ).
fof(f3,conjecture,
! [X,Y,C,Rp1,Rp2,S1,S2,T1,T2] :
( ( greater(S2,S1)
& size(Y,S2,T2)
& size(X,S1,T1)
& reproducibility(Y,Rp2,T2)
& reproducibility(X,Rp1,T1)
& class(Y,C,T2)
& class(X,C,T1)
& reorganization_free(Y,T2,T2)
& reorganization_free(X,T1,T1)
& organization(Y,T2)
& organization(X,T1) )
=> greater(Rp2,Rp1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL) ).
fof(f3_neg,negated_conjecture,
~ ! [X,Y,C,Rp1,Rp2,S1,S2,T1,T2] :
( ( greater(S2,S1)
& size(Y,S2,T2)
& size(X,S1,T1)
& reproducibility(Y,Rp2,T2)
& reproducibility(X,Rp1,T1)
& class(Y,C,T2)
& class(X,C,T1)
& reorganization_free(Y,T2,T2)
& reorganization_free(X,T1,T1)
& organization(Y,T2)
& organization(X,T1) )
=> greater(Rp2,Rp1) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f3_nnf,plain,
? [X,Y,C,Rp1,Rp2,S1,S2,T1,T2] :
( ~ greater(Rp2,Rp1)
& greater(S2,S1)
& size(Y,S2,T2)
& size(X,S1,T1)
& reproducibility(Y,Rp2,T2)
& reproducibility(X,Rp1,T1)
& class(Y,C,T2)
& class(X,C,T1)
& reorganization_free(Y,T2,T2)
& reorganization_free(X,T1,T1)
& organization(Y,T2)
& organization(X,T1) ),
inference(nnf_transformation,[status(thm)],[f3_neg]) ).
fof(f3_sk,plain,
( ~ greater(sk5,sk4)
& greater(sk7,sk6)
& size(sk2,sk7,sk9)
& size(sk1,sk6,sk8)
& reproducibility(sk2,sk5,sk9)
& reproducibility(sk1,sk4,sk8)
& class(sk2,sk3,sk9)
& class(sk1,sk3,sk8)
& reorganization_free(sk2,sk9,sk9)
& reorganization_free(sk1,sk8,sk8)
& organization(sk2,sk9)
& organization(sk1,sk8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk1,sk2,sk3,sk4,sk5,sk6,sk7,sk8,sk9])],[f3_nnf]) ).
cnf(c5,plain,
organization(sk2,sk9),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t2,plain,
organization(sk2,sk9) = true,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(t23,plain,
organization(sk2,sk9) = true,
inference(orient,[status(thm)],[t2]) ).
cnf(t26,plain,
true = ifeq(organization(X1,X2),true,ifeq(true,true,ifeq(reorganization_free(X1,X2,X2),true,ifeq(reorganization_free(sk2,sk9,sk9),true,ifeq(reproducibility(X1,X3,X2),true,ifeq(reproducibility(sk2,X4,sk9),true,ifeq(inertia(X1,X5,X2),true,ifeq(inertia(sk2,X6,sk9),true,ifeq(greater(X6,X5),true,greater(X4,X3),true),true),true),true),true),true),true),true),true),
inference(cp,[status(thm)],[t19,t23]) ).
cnf(t11,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t18,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t11]) ).
cnf(t2259,plain,
true = ifeq(organization(X1,X2),true,ifeq(reorganization_free(X1,X2,X2),true,ifeq(reorganization_free(sk2,sk9,sk9),true,ifeq(reproducibility(X1,X3,X2),true,ifeq(reproducibility(sk2,X4,sk9),true,ifeq(inertia(X1,X5,X2),true,ifeq(inertia(sk2,X6,sk9),true,ifeq(greater(X6,X5),true,greater(X4,X3),true),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t26,t18]) ).
cnf(c7,plain,
reorganization_free(sk2,sk9,sk9),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t6,plain,
reorganization_free(sk2,sk9,sk9) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(t60,plain,
reorganization_free(sk2,sk9,sk9) = true,
inference(orient,[status(thm)],[t6]) ).
cnf(t2260,plain,
true = ifeq(organization(X1,X2),true,ifeq(reorganization_free(X1,X2,X2),true,ifeq(true,true,ifeq(reproducibility(X1,X3,X2),true,ifeq(reproducibility(sk2,X4,sk9),true,ifeq(inertia(X1,X5,X2),true,ifeq(inertia(sk2,X6,sk9),true,ifeq(greater(X6,X5),true,greater(X4,X3),true),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t2259,t60]) ).
cnf(t2261,plain,
true = ifeq(organization(X1,X2),true,ifeq(reorganization_free(X1,X2,X2),true,ifeq(reproducibility(X1,X3,X2),true,ifeq(reproducibility(sk2,X4,sk9),true,ifeq(inertia(X1,X5,X2),true,ifeq(inertia(sk2,X6,sk9),true,ifeq(greater(X6,X5),true,greater(X4,X3),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t2260,t18]) ).
cnf(t194,plain,
ifeq(organization(X1,X2),true,ifeq(reorganization_free(X1,X2,X2),true,ifeq(reproducibility(X1,X3,X2),true,ifeq(reproducibility(sk2,X4,sk9),true,ifeq(inertia(X1,X5,X2),true,ifeq(inertia(sk2,X6,sk9),true,ifeq(greater(X6,X5),true,greater(X4,X3),true),true),true),true),true),true),true) = true,
inference(orient,[status(thm)],[t2261]) ).
cnf(c10,plain,
reproducibility(sk1,sk4,sk8),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t7,plain,
reproducibility(sk1,sk4,sk8) = true,
inference(equality_encoding,[status(esa)],[c10]) ).
cnf(t75,plain,
reproducibility(sk1,sk4,sk8) = true,
inference(orient,[status(thm)],[t7]) ).
cnf(t197,plain,
true = ifeq(organization(sk1,sk8),true,ifeq(reorganization_free(sk1,sk8,sk8),true,ifeq(true,true,ifeq(reproducibility(sk2,X1,sk9),true,ifeq(inertia(sk1,X2,sk8),true,ifeq(inertia(sk2,X3,sk9),true,ifeq(greater(X3,X2),true,greater(X1,sk4),true),true),true),true),true),true),true),
inference(cp,[status(thm)],[t194,t75]) ).
cnf(c4,plain,
organization(sk1,sk8),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t1,plain,
organization(sk1,sk8) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(t31,plain,
organization(sk1,sk8) = true,
inference(orient,[status(thm)],[t1]) ).
cnf(t2266,plain,
true = ifeq(true,true,ifeq(reorganization_free(sk1,sk8,sk8),true,ifeq(true,true,ifeq(reproducibility(sk2,X1,sk9),true,ifeq(inertia(sk1,X2,sk8),true,ifeq(inertia(sk2,X3,sk9),true,ifeq(greater(X3,X2),true,greater(X1,sk4),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t197,t31]) ).
cnf(t2267,plain,
true = ifeq(reorganization_free(sk1,sk8,sk8),true,ifeq(true,true,ifeq(reproducibility(sk2,X1,sk9),true,ifeq(inertia(sk1,X2,sk8),true,ifeq(inertia(sk2,X3,sk9),true,ifeq(greater(X3,X2),true,greater(X1,sk4),true),true),true),true),true),true),
inference(step,[status(thm)],[t2266,t18]) ).
cnf(c6,plain,
reorganization_free(sk1,sk8,sk8),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t5,plain,
reorganization_free(sk1,sk8,sk8) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(t65,plain,
reorganization_free(sk1,sk8,sk8) = true,
inference(orient,[status(thm)],[t5]) ).
cnf(t2268,plain,
true = ifeq(true,true,ifeq(true,true,ifeq(reproducibility(sk2,X1,sk9),true,ifeq(inertia(sk1,X2,sk8),true,ifeq(inertia(sk2,X3,sk9),true,ifeq(greater(X3,X2),true,greater(X1,sk4),true),true),true),true),true),true),
inference(step,[status(thm)],[t2267,t65]) ).
cnf(t2269,plain,
true = ifeq(true,true,ifeq(reproducibility(sk2,X1,sk9),true,ifeq(inertia(sk1,X2,sk8),true,ifeq(inertia(sk2,X3,sk9),true,ifeq(greater(X3,X2),true,greater(X1,sk4),true),true),true),true),true),
inference(step,[status(thm)],[t2268,t18]) ).
cnf(t2270,plain,
true = ifeq(reproducibility(sk2,X1,sk9),true,ifeq(inertia(sk1,X2,sk8),true,ifeq(inertia(sk2,X3,sk9),true,ifeq(greater(X3,X2),true,greater(X1,sk4),true),true),true),true),
inference(step,[status(thm)],[t2269,t18]) ).
cnf(t211,plain,
ifeq(reproducibility(sk2,X1,sk9),true,ifeq(inertia(sk1,X2,sk8),true,ifeq(inertia(sk2,X3,sk9),true,ifeq(greater(X3,X2),true,greater(X1,sk4),true),true),true),true) = true,
inference(orient,[status(thm)],[t2270]) ).
cnf(c11,plain,
reproducibility(sk2,sk5,sk9),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t8,plain,
reproducibility(sk2,sk5,sk9) = true,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(t70,plain,
reproducibility(sk2,sk5,sk9) = true,
inference(orient,[status(thm)],[t8]) ).
cnf(t212,plain,
true = ifeq(true,true,ifeq(inertia(sk1,X1,sk8),true,ifeq(inertia(sk2,X2,sk9),true,ifeq(greater(X2,X1),true,greater(sk5,sk4),true),true),true),true),
inference(cp,[status(thm)],[t211,t70]) ).
cnf(t2271,plain,
true = ifeq(inertia(sk1,X1,sk8),true,ifeq(inertia(sk2,X2,sk9),true,ifeq(greater(X2,X1),true,greater(sk5,sk4),true),true),true),
inference(step,[status(thm)],[t212,t18]) ).
cnf(t216,plain,
ifeq(inertia(sk1,X1,sk8),true,ifeq(inertia(sk2,X2,sk9),true,ifeq(greater(X2,X1),true,greater(sk5,sk4),true),true),true) = true,
inference(orient,[status(thm)],[t2271]) ).
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]) ).
cnf(hi5,negated_conjecture,
organization(sk2,sk9) = true,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(t13,plain,
inertia(sk2,sk0(sk2,sk9),sk9) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi5]) ).
cnf(t39,plain,
inertia(sk2,sk0(sk2,sk9),sk9) = true,
inference(orient,[status(thm)],[t13]) ).
cnf(t218,plain,
true = ifeq(inertia(sk1,X1,sk8),true,ifeq(true,true,ifeq(greater(sk0(sk2,sk9),X1),true,greater(sk5,sk4),true),true),true),
inference(cp,[status(thm)],[t216,t39]) ).
cnf(t2275,plain,
true = ifeq(inertia(sk1,X1,sk8),true,ifeq(greater(sk0(sk2,sk9),X1),true,greater(sk5,sk4),true),true),
inference(step,[status(thm)],[t218,t18]) ).
cnf(t232,plain,
ifeq(inertia(sk1,X1,sk8),true,ifeq(greater(sk0(sk2,sk9),X1),true,greater(sk5,sk4),true),true) = true,
inference(orient,[status(thm)],[t2275]) ).
fof(f2,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(f2_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)],[f2]) ).
fof(f2_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)],[f2_nnf]) ).
cnf(c3,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)],[f2_sk]) ).
cnf(t15,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)],[c3]) ).
cnf(t21,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)],[t15]) ).
cnf(t28,plain,
true = ifeq(organization(X1,X2),true,ifeq(true,true,ifeq(class(X1,X3,X2),true,ifeq(class(sk2,X3,sk9),true,ifeq(size(X1,X4,X2),true,ifeq(size(sk2,X5,sk9),true,ifeq(inertia(X1,X6,X2),true,ifeq(inertia(sk2,X7,sk9),true,ifeq(greater(X5,X4),true,greater(X7,X6),true),true),true),true),true),true),true),true),true),
inference(cp,[status(thm)],[t21,t23]) ).
cnf(t2395,plain,
true = ifeq(organization(X1,X2),true,ifeq(class(X1,X3,X2),true,ifeq(class(sk2,X3,sk9),true,ifeq(size(X1,X4,X2),true,ifeq(size(sk2,X5,sk9),true,ifeq(inertia(X1,X6,X2),true,ifeq(inertia(sk2,X7,sk9),true,ifeq(greater(X5,X4),true,greater(X7,X6),true),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t28,t18]) ).
cnf(t420,plain,
ifeq(organization(X1,X2),true,ifeq(class(X1,X3,X2),true,ifeq(class(sk2,X3,sk9),true,ifeq(size(X1,X4,X2),true,ifeq(size(sk2,X5,sk9),true,ifeq(inertia(X1,X6,X2),true,ifeq(inertia(sk2,X7,sk9),true,ifeq(greater(X5,X4),true,greater(X7,X6),true),true),true),true),true),true),true),true) = true,
inference(orient,[status(thm)],[t2395]) ).
cnf(c8,plain,
class(sk1,sk3,sk8),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t3,plain,
class(sk1,sk3,sk8) = true,
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(t83,plain,
class(sk1,sk3,sk8) = true,
inference(orient,[status(thm)],[t3]) ).
cnf(t424,plain,
true = ifeq(organization(sk1,sk8),true,ifeq(true,true,ifeq(class(sk2,sk3,sk9),true,ifeq(size(sk1,X1,sk8),true,ifeq(size(sk2,X2,sk9),true,ifeq(inertia(sk1,X3,sk8),true,ifeq(inertia(sk2,X4,sk9),true,ifeq(greater(X2,X1),true,greater(X4,X3),true),true),true),true),true),true),true),true),
inference(cp,[status(thm)],[t420,t83]) ).
cnf(t2961,plain,
true = ifeq(true,true,ifeq(true,true,ifeq(class(sk2,sk3,sk9),true,ifeq(size(sk1,X1,sk8),true,ifeq(size(sk2,X2,sk9),true,ifeq(inertia(sk1,X3,sk8),true,ifeq(inertia(sk2,X4,sk9),true,ifeq(greater(X2,X1),true,greater(X4,X3),true),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t424,t31]) ).
cnf(t2962,plain,
true = ifeq(true,true,ifeq(class(sk2,sk3,sk9),true,ifeq(size(sk1,X1,sk8),true,ifeq(size(sk2,X2,sk9),true,ifeq(inertia(sk1,X3,sk8),true,ifeq(inertia(sk2,X4,sk9),true,ifeq(greater(X2,X1),true,greater(X4,X3),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t2961,t18]) ).
cnf(t2963,plain,
true = ifeq(class(sk2,sk3,sk9),true,ifeq(size(sk1,X1,sk8),true,ifeq(size(sk2,X2,sk9),true,ifeq(inertia(sk1,X3,sk8),true,ifeq(inertia(sk2,X4,sk9),true,ifeq(greater(X2,X1),true,greater(X4,X3),true),true),true),true),true),true),
inference(step,[status(thm)],[t2962,t18]) ).
cnf(c9,plain,
class(sk2,sk3,sk9),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t4,plain,
class(sk2,sk3,sk9) = true,
inference(equality_encoding,[status(esa)],[c9]) ).
cnf(t80,plain,
class(sk2,sk3,sk9) = true,
inference(orient,[status(thm)],[t4]) ).
cnf(t2964,plain,
true = ifeq(true,true,ifeq(size(sk1,X1,sk8),true,ifeq(size(sk2,X2,sk9),true,ifeq(inertia(sk1,X3,sk8),true,ifeq(inertia(sk2,X4,sk9),true,ifeq(greater(X2,X1),true,greater(X4,X3),true),true),true),true),true),true),
inference(step,[status(thm)],[t2963,t80]) ).
cnf(t2965,plain,
true = ifeq(size(sk1,X1,sk8),true,ifeq(size(sk2,X2,sk9),true,ifeq(inertia(sk1,X3,sk8),true,ifeq(inertia(sk2,X4,sk9),true,ifeq(greater(X2,X1),true,greater(X4,X3),true),true),true),true),true),
inference(step,[status(thm)],[t2964,t18]) ).
cnf(t1708,plain,
ifeq(size(sk1,X1,sk8),true,ifeq(size(sk2,X2,sk9),true,ifeq(inertia(sk1,X3,sk8),true,ifeq(inertia(sk2,X4,sk9),true,ifeq(greater(X2,X1),true,greater(X4,X3),true),true),true),true),true) = true,
inference(orient,[status(thm)],[t2965]) ).
cnf(c14,plain,
greater(sk7,sk6),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t0,plain,
greater(sk7,sk6) = true,
inference(equality_encoding,[status(esa)],[c14]) ).
cnf(t53,plain,
greater(sk7,sk6) = true,
inference(orient,[status(thm)],[t0]) ).
cnf(t1713,plain,
true = ifeq(size(sk1,sk6,sk8),true,ifeq(size(sk2,sk7,sk9),true,ifeq(inertia(sk1,X1,sk8),true,ifeq(inertia(sk2,X2,sk9),true,ifeq(true,true,greater(X2,X1),true),true),true),true),true),
inference(cp,[status(thm)],[t1708,t53]) ).
cnf(c12,plain,
size(sk1,sk6,sk8),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t9,plain,
size(sk1,sk6,sk8) = true,
inference(equality_encoding,[status(esa)],[c12]) ).
cnf(t89,plain,
size(sk1,sk6,sk8) = true,
inference(orient,[status(thm)],[t9]) ).
cnf(t2966,plain,
true = ifeq(true,true,ifeq(size(sk2,sk7,sk9),true,ifeq(inertia(sk1,X1,sk8),true,ifeq(inertia(sk2,X2,sk9),true,ifeq(true,true,greater(X2,X1),true),true),true),true),true),
inference(step,[status(thm)],[t1713,t89]) ).
cnf(t2967,plain,
true = ifeq(size(sk2,sk7,sk9),true,ifeq(inertia(sk1,X1,sk8),true,ifeq(inertia(sk2,X2,sk9),true,ifeq(true,true,greater(X2,X1),true),true),true),true),
inference(step,[status(thm)],[t2966,t18]) ).
cnf(c13,plain,
size(sk2,sk7,sk9),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t10,plain,
size(sk2,sk7,sk9) = true,
inference(equality_encoding,[status(esa)],[c13]) ).
cnf(t86,plain,
size(sk2,sk7,sk9) = true,
inference(orient,[status(thm)],[t10]) ).
cnf(t2968,plain,
true = ifeq(true,true,ifeq(inertia(sk1,X1,sk8),true,ifeq(inertia(sk2,X2,sk9),true,ifeq(true,true,greater(X2,X1),true),true),true),true),
inference(step,[status(thm)],[t2967,t86]) ).
cnf(t2969,plain,
true = ifeq(inertia(sk1,X1,sk8),true,ifeq(inertia(sk2,X2,sk9),true,ifeq(true,true,greater(X2,X1),true),true),true),
inference(step,[status(thm)],[t2968,t18]) ).
cnf(t2970,plain,
true = ifeq(inertia(sk1,X1,sk8),true,ifeq(inertia(sk2,X2,sk9),true,greater(X2,X1),true),true),
inference(step,[status(thm)],[t2969,t18]) ).
cnf(t1715,plain,
ifeq(inertia(sk1,X1,sk8),true,ifeq(inertia(sk2,X2,sk9),true,greater(X2,X1),true),true) = true,
inference(orient,[status(thm)],[t2970]) ).
cnf(hi4,negated_conjecture,
organization(sk1,sk8) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(t12,plain,
inertia(sk1,sk0(sk1,sk8),sk8) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi4]) ).
cnf(t46,plain,
inertia(sk1,sk0(sk1,sk8),sk8) = true,
inference(orient,[status(thm)],[t12]) ).
cnf(t1716,plain,
true = ifeq(true,true,ifeq(inertia(sk2,X1,sk9),true,greater(X1,sk0(sk1,sk8)),true),true),
inference(cp,[status(thm)],[t1715,t46]) ).
cnf(t2972,plain,
true = ifeq(inertia(sk2,X1,sk9),true,greater(X1,sk0(sk1,sk8)),true),
inference(step,[status(thm)],[t1716,t18]) ).
cnf(t1725,plain,
ifeq(inertia(sk2,X1,sk9),true,greater(X1,sk0(sk1,sk8)),true) = true,
inference(orient,[status(thm)],[t2972]) ).
cnf(t1726,plain,
true = ifeq(true,true,greater(sk0(sk2,sk9),sk0(sk1,sk8)),true),
inference(cp,[status(thm)],[t1725,t39]) ).
cnf(t2974,plain,
true = greater(sk0(sk2,sk9),sk0(sk1,sk8)),
inference(step,[status(thm)],[t1726,t18]) ).
cnf(t1741,plain,
greater(sk0(sk2,sk9),sk0(sk1,sk8)) = true,
inference(orient,[status(thm)],[t2974]) ).
cnf(t1756,plain,
true = ifeq(inertia(sk1,sk0(sk1,sk8),sk8),true,ifeq(true,true,greater(sk5,sk4),true),true),
inference(cp,[status(thm)],[t232,t1741]) ).
cnf(t2990,plain,
true = ifeq(true,true,ifeq(true,true,greater(sk5,sk4),true),true),
inference(step,[status(thm)],[t1756,t46]) ).
cnf(t2991,plain,
true = ifeq(true,true,greater(sk5,sk4),true),
inference(step,[status(thm)],[t2990,t18]) ).
cnf(t2992,plain,
true = greater(sk5,sk4),
inference(step,[status(thm)],[t2991,t18]) ).
cnf(t1975,plain,
greater(sk5,sk4) = true,
inference(orient,[status(thm)],[t2992]) ).
cnf(c15,plain,
~ greater(sk5,sk4),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(goal_0,negated_conjecture,
greater(sk5,sk4) != true,
inference(equality_encoding,[status(esa)],[c15]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t1975]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT009+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/15.40 % Computer : n002.cluster.edu
% 0.11/15.40 % Model : x86_64 x86_64
% 0.11/15.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/15.40 % Memory : 8046.5625MB
% 0.11/15.40 % OS : Linux 6.8.0-71-generic
% 0.11/15.40 % CPULimit : 300
% 0.11/15.40 % WCLimit : 300
% 0.11/15.40 % DateTime : Thu Sep 24 01:01:07 UTC 2026
% 0.16/15.40 % CPUTime :
% 0.16/15.40 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 19.26/18.05 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.26/18.05 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------