%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT009-1 : TPTP v9.3.1. Released v2.4.0.
% 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 : Unsatisfiable 17.88s 2.91s
% Output : Proof 17.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 16
% Syntax : Number of formulae : 133 ( 121 unt; 0 def)
% Number of atoms : 209 ( 83 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 158 ( 82 ~; 76 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 2 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 : 242 ( 2 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f2,hypothesis,
( greater(F,E)
| ~ greater(H,G)
| ~ inertia(C,H,D)
| ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3_FOL_3) ).
fof(f2_nnf,plain,
! [A,B,C,D,E,F,G,H] :
( greater(F,E)
| ~ greater(H,G)
| ~ inertia(C,H,D)
| ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [A,B,C,D,E,F,G,H] :
( greater(F,E)
| ~ greater(H,G)
| ~ inertia(C,H,D)
| ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( greater(X5,X4)
| ~ greater(X7,X6)
| ~ inertia(X2,X7,X3)
| ~ inertia(X0,X6,X1)
| ~ reproducibility(X2,X5,X3)
| ~ reproducibility(X0,X4,X1)
| ~ reorganization_free(X2,X3,X3)
| ~ reorganization_free(X0,X1,X1)
| ~ organization(X2,X3)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(t15,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(t115,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)],[t15]) ).
cnf(f4,negated_conjecture,
organization(sk2,sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_5) ).
fof(f4_nnf,plain,
organization(sk2,sk9),
inference(nnf_transformation,[status(thm)],[f4]) ).
cnf(c4,plain,
organization(sk2,sk9),
inference(cnf_transformation,[status(esa)],[f4_nnf]) ).
cnf(t1,plain,
organization(sk2,sk9) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(t17,plain,
organization(sk2,sk9) = true,
inference(orient,[status(thm)],[t1]) ).
cnf(t118,plain,
true = ifeq(true,true,ifeq(organization(X1,X2),true,ifeq(reorganization_free(sk2,sk9,sk9),true,ifeq(reorganization_free(X1,X2,X2),true,ifeq(reproducibility(sk2,X3,sk9),true,ifeq(reproducibility(X1,X4,X2),true,ifeq(inertia(sk2,X5,sk9),true,ifeq(inertia(X1,X6,X2),true,ifeq(greater(X6,X5),true,greater(X4,X3),true),true),true),true),true),true),true),true),true),
inference(cp,[status(thm)],[t115,t17]) ).
cnf(t11,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t27,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t11]) ).
cnf(t2185,plain,
true = ifeq(organization(X1,X2),true,ifeq(reorganization_free(sk2,sk9,sk9),true,ifeq(reorganization_free(X1,X2,X2),true,ifeq(reproducibility(sk2,X3,sk9),true,ifeq(reproducibility(X1,X4,X2),true,ifeq(inertia(sk2,X5,sk9),true,ifeq(inertia(X1,X6,X2),true,ifeq(greater(X6,X5),true,greater(X4,X3),true),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t118,t27]) ).
cnf(f6,negated_conjecture,
reorganization_free(sk2,sk9,sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_7) ).
fof(f6_nnf,plain,
reorganization_free(sk2,sk9,sk9),
inference(nnf_transformation,[status(thm)],[f6]) ).
cnf(c6,plain,
reorganization_free(sk2,sk9,sk9),
inference(cnf_transformation,[status(esa)],[f6_nnf]) ).
cnf(t5,plain,
reorganization_free(sk2,sk9,sk9) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(t21,plain,
reorganization_free(sk2,sk9,sk9) = true,
inference(orient,[status(thm)],[t5]) ).
cnf(t2186,plain,
true = ifeq(organization(X1,X2),true,ifeq(true,true,ifeq(reorganization_free(X1,X2,X2),true,ifeq(reproducibility(sk2,X3,sk9),true,ifeq(reproducibility(X1,X4,X2),true,ifeq(inertia(sk2,X5,sk9),true,ifeq(inertia(X1,X6,X2),true,ifeq(greater(X6,X5),true,greater(X4,X3),true),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t2185,t21]) ).
cnf(t2187,plain,
true = ifeq(organization(X1,X2),true,ifeq(reorganization_free(X1,X2,X2),true,ifeq(reproducibility(sk2,X3,sk9),true,ifeq(reproducibility(X1,X4,X2),true,ifeq(inertia(sk2,X5,sk9),true,ifeq(inertia(X1,X6,X2),true,ifeq(greater(X6,X5),true,greater(X4,X3),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t2186,t27]) ).
cnf(t1099,plain,
ifeq(organization(X1,X2),true,ifeq(reorganization_free(X1,X2,X2),true,ifeq(reproducibility(sk2,X3,sk9),true,ifeq(reproducibility(X1,X4,X2),true,ifeq(inertia(sk2,X5,sk9),true,ifeq(inertia(X1,X6,X2),true,ifeq(greater(X6,X5),true,greater(X4,X3),true),true),true),true),true),true),true) = true,
inference(orient,[status(thm)],[t2187]) ).
cnf(f11,negated_conjecture,
reproducibility(sk3,sk6,sk10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_12) ).
fof(f11_nnf,plain,
reproducibility(sk3,sk6,sk10),
inference(nnf_transformation,[status(thm)],[f11]) ).
cnf(c11,plain,
reproducibility(sk3,sk6,sk10),
inference(cnf_transformation,[status(esa)],[f11_nnf]) ).
cnf(t8,plain,
reproducibility(sk3,sk6,sk10) = true,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(t24,plain,
reproducibility(sk3,sk6,sk10) = true,
inference(orient,[status(thm)],[t8]) ).
cnf(t1103,plain,
true = ifeq(organization(sk3,sk10),true,ifeq(reorganization_free(sk3,sk10,sk10),true,ifeq(reproducibility(sk2,X1,sk9),true,ifeq(true,true,ifeq(inertia(sk2,X2,sk9),true,ifeq(inertia(sk3,X3,sk10),true,ifeq(greater(X3,X2),true,greater(sk6,X1),true),true),true),true),true),true),true),
inference(cp,[status(thm)],[t1099,t24]) ).
cnf(f5,negated_conjecture,
organization(sk3,sk10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_6) ).
fof(f5_nnf,plain,
organization(sk3,sk10),
inference(nnf_transformation,[status(thm)],[f5]) ).
cnf(c5,plain,
organization(sk3,sk10),
inference(cnf_transformation,[status(esa)],[f5_nnf]) ).
cnf(t2,plain,
organization(sk3,sk10) = true,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(t18,plain,
organization(sk3,sk10) = true,
inference(orient,[status(thm)],[t2]) ).
cnf(t2232,plain,
true = ifeq(true,true,ifeq(reorganization_free(sk3,sk10,sk10),true,ifeq(reproducibility(sk2,X1,sk9),true,ifeq(true,true,ifeq(inertia(sk2,X2,sk9),true,ifeq(inertia(sk3,X3,sk10),true,ifeq(greater(X3,X2),true,greater(sk6,X1),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t1103,t18]) ).
cnf(t2233,plain,
true = ifeq(reorganization_free(sk3,sk10,sk10),true,ifeq(reproducibility(sk2,X1,sk9),true,ifeq(true,true,ifeq(inertia(sk2,X2,sk9),true,ifeq(inertia(sk3,X3,sk10),true,ifeq(greater(X3,X2),true,greater(sk6,X1),true),true),true),true),true),true),
inference(step,[status(thm)],[t2232,t27]) ).
cnf(f7,negated_conjecture,
reorganization_free(sk3,sk10,sk10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_8) ).
fof(f7_nnf,plain,
reorganization_free(sk3,sk10,sk10),
inference(nnf_transformation,[status(thm)],[f7]) ).
cnf(c7,plain,
reorganization_free(sk3,sk10,sk10),
inference(cnf_transformation,[status(esa)],[f7_nnf]) ).
cnf(t6,plain,
reorganization_free(sk3,sk10,sk10) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(t22,plain,
reorganization_free(sk3,sk10,sk10) = true,
inference(orient,[status(thm)],[t6]) ).
cnf(t2234,plain,
true = ifeq(true,true,ifeq(reproducibility(sk2,X1,sk9),true,ifeq(true,true,ifeq(inertia(sk2,X2,sk9),true,ifeq(inertia(sk3,X3,sk10),true,ifeq(greater(X3,X2),true,greater(sk6,X1),true),true),true),true),true),true),
inference(step,[status(thm)],[t2233,t22]) ).
cnf(t2235,plain,
true = ifeq(reproducibility(sk2,X1,sk9),true,ifeq(true,true,ifeq(inertia(sk2,X2,sk9),true,ifeq(inertia(sk3,X3,sk10),true,ifeq(greater(X3,X2),true,greater(sk6,X1),true),true),true),true),true),
inference(step,[status(thm)],[t2234,t27]) ).
cnf(t2236,plain,
true = ifeq(reproducibility(sk2,X1,sk9),true,ifeq(inertia(sk2,X2,sk9),true,ifeq(inertia(sk3,X3,sk10),true,ifeq(greater(X3,X2),true,greater(sk6,X1),true),true),true),true),
inference(step,[status(thm)],[t2235,t27]) ).
cnf(t1188,plain,
ifeq(reproducibility(sk2,X1,sk9),true,ifeq(inertia(sk2,X2,sk9),true,ifeq(inertia(sk3,X3,sk10),true,ifeq(greater(X3,X2),true,greater(sk6,X1),true),true),true),true) = true,
inference(orient,[status(thm)],[t2236]) ).
cnf(f3,hypothesis,
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5_FOL_4) ).
fof(f3_nnf,plain,
! [A,B,C,D,E,F,G,H,I] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [A,B,C,D,E,F,G,H,I] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( greater(X8,X7)
| ~ greater(X6,X5)
| ~ inertia(X2,X8,X3)
| ~ inertia(X0,X7,X1)
| ~ size(X2,X6,X3)
| ~ size(X0,X5,X1)
| ~ class(X2,X4,X3)
| ~ class(X0,X4,X1)
| ~ organization(X2,X3)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t13,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(t33,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)],[t13]) ).
cnf(f8,negated_conjecture,
class(sk2,sk4,sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_9) ).
fof(f8_nnf,plain,
class(sk2,sk4,sk9),
inference(nnf_transformation,[status(thm)],[f8]) ).
cnf(c8,plain,
class(sk2,sk4,sk9),
inference(cnf_transformation,[status(esa)],[f8_nnf]) ).
cnf(t3,plain,
class(sk2,sk4,sk9) = true,
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(t19,plain,
class(sk2,sk4,sk9) = true,
inference(orient,[status(thm)],[t3]) ).
cnf(t40,plain,
true = ifeq(organization(sk2,sk9),true,ifeq(organization(X1,X2),true,ifeq(true,true,ifeq(class(X1,sk4,X2),true,ifeq(size(sk2,X3,sk9),true,ifeq(size(X1,X4,X2),true,ifeq(inertia(sk2,X5,sk9),true,ifeq(inertia(X1,X6,X2),true,ifeq(greater(X4,X3),true,greater(X6,X5),true),true),true),true),true),true),true),true),true),
inference(cp,[status(thm)],[t33,t19]) ).
cnf(t1345,plain,
true = ifeq(true,true,ifeq(organization(X1,X2),true,ifeq(true,true,ifeq(class(X1,sk4,X2),true,ifeq(size(sk2,X3,sk9),true,ifeq(size(X1,X4,X2),true,ifeq(inertia(sk2,X5,sk9),true,ifeq(inertia(X1,X6,X2),true,ifeq(greater(X4,X3),true,greater(X6,X5),true),true),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t40,t17]) ).
cnf(t1346,plain,
true = ifeq(organization(X1,X2),true,ifeq(true,true,ifeq(class(X1,sk4,X2),true,ifeq(size(sk2,X3,sk9),true,ifeq(size(X1,X4,X2),true,ifeq(inertia(sk2,X5,sk9),true,ifeq(inertia(X1,X6,X2),true,ifeq(greater(X4,X3),true,greater(X6,X5),true),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t1345,t27]) ).
cnf(t1347,plain,
true = ifeq(organization(X1,X2),true,ifeq(class(X1,sk4,X2),true,ifeq(size(sk2,X3,sk9),true,ifeq(size(X1,X4,X2),true,ifeq(inertia(sk2,X5,sk9),true,ifeq(inertia(X1,X6,X2),true,ifeq(greater(X4,X3),true,greater(X6,X5),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t1346,t27]) ).
cnf(t52,plain,
ifeq(organization(X1,X2),true,ifeq(class(X1,sk4,X2),true,ifeq(size(sk2,X3,sk9),true,ifeq(size(X1,X4,X2),true,ifeq(inertia(sk2,X5,sk9),true,ifeq(inertia(X1,X6,X2),true,ifeq(greater(X4,X3),true,greater(X6,X5),true),true),true),true),true),true),true) = true,
inference(orient,[status(thm)],[t1347]) ).
cnf(f13,negated_conjecture,
size(sk3,sk8,sk10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_14) ).
fof(f13_nnf,plain,
size(sk3,sk8,sk10),
inference(nnf_transformation,[status(thm)],[f13]) ).
cnf(c13,plain,
size(sk3,sk8,sk10),
inference(cnf_transformation,[status(esa)],[f13_nnf]) ).
cnf(t10,plain,
size(sk3,sk8,sk10) = true,
inference(equality_encoding,[status(esa)],[c13]) ).
cnf(t26,plain,
size(sk3,sk8,sk10) = true,
inference(orient,[status(thm)],[t10]) ).
cnf(t59,plain,
true = ifeq(organization(sk3,sk10),true,ifeq(class(sk3,sk4,sk10),true,ifeq(size(sk2,X1,sk9),true,ifeq(true,true,ifeq(inertia(sk2,X2,sk9),true,ifeq(inertia(sk3,X3,sk10),true,ifeq(greater(sk8,X1),true,greater(X3,X2),true),true),true),true),true),true),true),
inference(cp,[status(thm)],[t52,t26]) ).
cnf(t1374,plain,
true = ifeq(true,true,ifeq(class(sk3,sk4,sk10),true,ifeq(size(sk2,X1,sk9),true,ifeq(true,true,ifeq(inertia(sk2,X2,sk9),true,ifeq(inertia(sk3,X3,sk10),true,ifeq(greater(sk8,X1),true,greater(X3,X2),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t59,t18]) ).
cnf(t1375,plain,
true = ifeq(class(sk3,sk4,sk10),true,ifeq(size(sk2,X1,sk9),true,ifeq(true,true,ifeq(inertia(sk2,X2,sk9),true,ifeq(inertia(sk3,X3,sk10),true,ifeq(greater(sk8,X1),true,greater(X3,X2),true),true),true),true),true),true),
inference(step,[status(thm)],[t1374,t27]) ).
cnf(f9,negated_conjecture,
class(sk3,sk4,sk10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_10) ).
fof(f9_nnf,plain,
class(sk3,sk4,sk10),
inference(nnf_transformation,[status(thm)],[f9]) ).
cnf(c9,plain,
class(sk3,sk4,sk10),
inference(cnf_transformation,[status(esa)],[f9_nnf]) ).
cnf(t4,plain,
class(sk3,sk4,sk10) = true,
inference(equality_encoding,[status(esa)],[c9]) ).
cnf(t20,plain,
class(sk3,sk4,sk10) = true,
inference(orient,[status(thm)],[t4]) ).
cnf(t1376,plain,
true = ifeq(true,true,ifeq(size(sk2,X1,sk9),true,ifeq(true,true,ifeq(inertia(sk2,X2,sk9),true,ifeq(inertia(sk3,X3,sk10),true,ifeq(greater(sk8,X1),true,greater(X3,X2),true),true),true),true),true),true),
inference(step,[status(thm)],[t1375,t20]) ).
cnf(t1377,plain,
true = ifeq(size(sk2,X1,sk9),true,ifeq(true,true,ifeq(inertia(sk2,X2,sk9),true,ifeq(inertia(sk3,X3,sk10),true,ifeq(greater(sk8,X1),true,greater(X3,X2),true),true),true),true),true),
inference(step,[status(thm)],[t1376,t27]) ).
cnf(t1378,plain,
true = ifeq(size(sk2,X1,sk9),true,ifeq(inertia(sk2,X2,sk9),true,ifeq(inertia(sk3,X3,sk10),true,ifeq(greater(sk8,X1),true,greater(X3,X2),true),true),true),true),
inference(step,[status(thm)],[t1377,t27]) ).
cnf(t106,plain,
ifeq(size(sk2,X1,sk9),true,ifeq(inertia(sk2,X2,sk9),true,ifeq(inertia(sk3,X3,sk10),true,ifeq(greater(sk8,X1),true,greater(X3,X2),true),true),true),true) = true,
inference(orient,[status(thm)],[t1378]) ).
cnf(f14,negated_conjecture,
greater(sk8,sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_15) ).
fof(f14_nnf,plain,
greater(sk8,sk7),
inference(nnf_transformation,[status(thm)],[f14]) ).
cnf(c14,plain,
greater(sk8,sk7),
inference(cnf_transformation,[status(esa)],[f14_nnf]) ).
cnf(t0,plain,
greater(sk8,sk7) = true,
inference(equality_encoding,[status(esa)],[c14]) ).
cnf(t16,plain,
greater(sk8,sk7) = true,
inference(orient,[status(thm)],[t0]) ).
cnf(t107,plain,
true = ifeq(size(sk2,sk7,sk9),true,ifeq(inertia(sk2,X1,sk9),true,ifeq(inertia(sk3,X2,sk10),true,ifeq(true,true,greater(X2,X1),true),true),true),true),
inference(cp,[status(thm)],[t106,t16]) ).
cnf(f12,negated_conjecture,
size(sk2,sk7,sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_13) ).
fof(f12_nnf,plain,
size(sk2,sk7,sk9),
inference(nnf_transformation,[status(thm)],[f12]) ).
cnf(c12,plain,
size(sk2,sk7,sk9),
inference(cnf_transformation,[status(esa)],[f12_nnf]) ).
cnf(t9,plain,
size(sk2,sk7,sk9) = true,
inference(equality_encoding,[status(esa)],[c12]) ).
cnf(t25,plain,
size(sk2,sk7,sk9) = true,
inference(orient,[status(thm)],[t9]) ).
cnf(t1379,plain,
true = ifeq(true,true,ifeq(inertia(sk2,X1,sk9),true,ifeq(inertia(sk3,X2,sk10),true,ifeq(true,true,greater(X2,X1),true),true),true),true),
inference(step,[status(thm)],[t107,t25]) ).
cnf(t1380,plain,
true = ifeq(inertia(sk2,X1,sk9),true,ifeq(inertia(sk3,X2,sk10),true,ifeq(true,true,greater(X2,X1),true),true),true),
inference(step,[status(thm)],[t1379,t27]) ).
cnf(t1381,plain,
true = ifeq(inertia(sk2,X1,sk9),true,ifeq(inertia(sk3,X2,sk10),true,greater(X2,X1),true),true),
inference(step,[status(thm)],[t1380,t27]) ).
cnf(t111,plain,
ifeq(inertia(sk2,X1,sk9),true,ifeq(inertia(sk3,X2,sk10),true,greater(X2,X1),true),true) = true,
inference(orient,[status(thm)],[t1381]) ).
cnf(f0,axiom,
( inertia(A,sk1(B,A),B)
| ~ organization(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp5_1) ).
fof(f0_nnf,plain,
! [A,B] :
( inertia(A,sk1(B,A),B)
| ~ organization(A,B) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [A,B] :
( inertia(A,sk1(B,A),B)
| ~ organization(A,B) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( inertia(X0,sk1(X1,X0),X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(t12,plain,
ifeq(organization(X1,X2),true,inertia(X1,sk1(X2,X1),X2),true) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(t28,plain,
ifeq(organization(X1,X2),true,inertia(X1,sk1(X2,X1),X2),true) = true,
inference(orient,[status(thm)],[t12]) ).
cnf(t29,plain,
true = ifeq(true,true,inertia(sk2,sk1(sk9,sk2),sk9),true),
inference(cp,[status(thm)],[t28,t17]) ).
cnf(t1343,plain,
true = inertia(sk2,sk1(sk9,sk2),sk9),
inference(step,[status(thm)],[t29,t27]) ).
cnf(t31,plain,
inertia(sk2,sk1(sk9,sk2),sk9) = true,
inference(orient,[status(thm)],[t1343]) ).
cnf(t113,plain,
true = ifeq(true,true,ifeq(inertia(sk3,X1,sk10),true,greater(X1,sk1(sk9,sk2)),true),true),
inference(cp,[status(thm)],[t111,t31]) ).
cnf(t1382,plain,
true = ifeq(inertia(sk3,X1,sk10),true,greater(X1,sk1(sk9,sk2)),true),
inference(step,[status(thm)],[t113,t27]) ).
cnf(t133,plain,
ifeq(inertia(sk3,X1,sk10),true,greater(X1,sk1(sk9,sk2)),true) = true,
inference(orient,[status(thm)],[t1382]) ).
cnf(t30,plain,
true = ifeq(true,true,inertia(sk3,sk1(sk10,sk3),sk10),true),
inference(cp,[status(thm)],[t28,t18]) ).
cnf(t1344,plain,
true = inertia(sk3,sk1(sk10,sk3),sk10),
inference(step,[status(thm)],[t30,t27]) ).
cnf(t32,plain,
inertia(sk3,sk1(sk10,sk3),sk10) = true,
inference(orient,[status(thm)],[t1344]) ).
cnf(t134,plain,
true = ifeq(true,true,greater(sk1(sk10,sk3),sk1(sk9,sk2)),true),
inference(cp,[status(thm)],[t133,t32]) ).
cnf(t1383,plain,
true = greater(sk1(sk10,sk3),sk1(sk9,sk2)),
inference(step,[status(thm)],[t134,t27]) ).
cnf(t135,plain,
greater(sk1(sk10,sk3),sk1(sk9,sk2)) = true,
inference(orient,[status(thm)],[t1383]) ).
cnf(t1193,plain,
true = ifeq(reproducibility(sk2,X1,sk9),true,ifeq(inertia(sk2,sk1(sk9,sk2),sk9),true,ifeq(inertia(sk3,sk1(sk10,sk3),sk10),true,ifeq(true,true,greater(sk6,X1),true),true),true),true),
inference(cp,[status(thm)],[t1188,t135]) ).
cnf(t2237,plain,
true = ifeq(reproducibility(sk2,X1,sk9),true,ifeq(true,true,ifeq(inertia(sk3,sk1(sk10,sk3),sk10),true,ifeq(true,true,greater(sk6,X1),true),true),true),true),
inference(step,[status(thm)],[t1193,t31]) ).
cnf(t2238,plain,
true = ifeq(reproducibility(sk2,X1,sk9),true,ifeq(inertia(sk3,sk1(sk10,sk3),sk10),true,ifeq(true,true,greater(sk6,X1),true),true),true),
inference(step,[status(thm)],[t2237,t27]) ).
cnf(t2239,plain,
true = ifeq(reproducibility(sk2,X1,sk9),true,ifeq(true,true,ifeq(true,true,greater(sk6,X1),true),true),true),
inference(step,[status(thm)],[t2238,t32]) ).
cnf(t2240,plain,
true = ifeq(reproducibility(sk2,X1,sk9),true,ifeq(true,true,greater(sk6,X1),true),true),
inference(step,[status(thm)],[t2239,t27]) ).
cnf(t2241,plain,
true = ifeq(reproducibility(sk2,X1,sk9),true,greater(sk6,X1),true),
inference(step,[status(thm)],[t2240,t27]) ).
cnf(t1194,plain,
ifeq(reproducibility(sk2,X1,sk9),true,greater(sk6,X1),true) = true,
inference(orient,[status(thm)],[t2241]) ).
cnf(f10,negated_conjecture,
reproducibility(sk2,sk5,sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_11) ).
fof(f10_nnf,plain,
reproducibility(sk2,sk5,sk9),
inference(nnf_transformation,[status(thm)],[f10]) ).
cnf(c10,plain,
reproducibility(sk2,sk5,sk9),
inference(cnf_transformation,[status(esa)],[f10_nnf]) ).
cnf(t7,plain,
reproducibility(sk2,sk5,sk9) = true,
inference(equality_encoding,[status(esa)],[c10]) ).
cnf(t23,plain,
reproducibility(sk2,sk5,sk9) = true,
inference(orient,[status(thm)],[t7]) ).
cnf(t1195,plain,
true = ifeq(true,true,greater(sk6,sk5),true),
inference(cp,[status(thm)],[t1194,t23]) ).
cnf(t2245,plain,
true = greater(sk6,sk5),
inference(step,[status(thm)],[t1195,t27]) ).
cnf(t1209,plain,
greater(sk6,sk5) = true,
inference(orient,[status(thm)],[t2245]) ).
cnf(f15,negated_conjecture,
~ greater(sk6,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_16) ).
fof(f15_nnf,plain,
~ greater(sk6,sk5),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
~ greater(sk6,sk5),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c15,plain,
~ greater(sk6,sk5),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(goal_0,negated_conjecture,
greater(sk6,sk5) != true,
inference(equality_encoding,[status(esa)],[c15]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t1209]) ).
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 v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.36 % Computer : n002.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 01:00:33 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 17.88/2.91 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.88/2.91 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------