%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT010-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n018.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 02:11:17 PM UTC 2026
% Result : Unsatisfiable 29.56s 14.37s
% Output : Proof 29.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 18
% Syntax : Number of formulae : 155 ( 139 unt; 0 def)
% Number of atoms : 243 ( 99 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 182 ( 94 ~; 88 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 2 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-4 aty)
% Number of variables : 284 ( 33 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f18,negated_conjecture,
( ~ greater(sk8,sk7)
| ~ greater(sk6,sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_19) ).
fof(f18_nnf,plain,
( ~ greater(sk8,sk7)
| ~ greater(sk6,sk5) ),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
( ~ greater(sk8,sk7)
| ~ greater(sk6,sk5) ),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c18,plain,
( ~ greater(sk8,sk7)
| ~ greater(sk6,sk5) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(t15,plain,
ifeq(greater(sk6,sk5),true,ifeq(greater(sk8,sk7),true,false,true),true) = true,
inference(equality_encoding,[status(esa)],[c18]) ).
cnf(t39,plain,
ifeq(greater(sk6,sk5),true,ifeq(greater(sk8,sk7),true,false,true),true) = true,
inference(orient,[status(thm)],[t15]) ).
cnf(t2572,plain,
ifeq(true,true,ifeq(greater(sk8,sk7),true,false,true),true) = true,
inference(rw,[status(thm)],[t39]) ).
cnf(t13,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t33,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t13]) ).
cnf(t4240,plain,
ifeq(greater(sk8,sk7),true,false,true) = true,
inference(step,[status(thm)],[t2572,t33]) ).
cnf(f2,hypothesis,
( greater(H,G)
| ~ greater(J,I)
| ~ reproducibility(C,J,D)
| ~ reproducibility(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_FOL_3) ).
fof(f2_nnf,plain,
! [A,B,C,D,E,F,G,H,I,J] :
( greater(H,G)
| ~ greater(J,I)
| ~ reproducibility(C,J,D)
| ~ reproducibility(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,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,I,J] :
( greater(H,G)
| ~ greater(J,I)
| ~ reproducibility(C,J,D)
| ~ reproducibility(A,I,B)
| ~ accountability(C,H,D)
| ~ accountability(A,G,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( greater(X7,X6)
| ~ greater(X9,X8)
| ~ reproducibility(X2,X9,X3)
| ~ reproducibility(X0,X8,X1)
| ~ accountability(X2,X7,X3)
| ~ accountability(X0,X6,X1)
| ~ reliability(X2,X5,X3)
| ~ reliability(X0,X4,X1)
| ~ organization(X2,X3)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(t17,plain,
ifeq(organization(X1,X2),true,ifeq(organization(X3,X4),true,ifeq(reliability(X1,X5,X2),true,ifeq(reliability(X3,X6,X4),true,ifeq(accountability(X1,X7,X2),true,ifeq(accountability(X3,X8,X4),true,ifeq(reproducibility(X1,X9,X2),true,ifeq(reproducibility(X3,X10,X4),true,ifeq(greater(X10,X9),true,greater(X8,X7),true),true),true),true),true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(t79,plain,
ifeq(organization(X1,X2),true,ifeq(organization(X3,X4),true,ifeq(reliability(X1,X5,X2),true,ifeq(reliability(X3,X6,X4),true,ifeq(accountability(X1,X7,X2),true,ifeq(accountability(X3,X8,X4),true,ifeq(reproducibility(X1,X9,X2),true,ifeq(reproducibility(X3,X10,X4),true,ifeq(greater(X10,X9),true,greater(X8,X7),true),true),true),true),true),true),true),true),true) = true,
inference(orient,[status(thm)],[t17]) ).
cnf(f13,negated_conjecture,
accountability(sk2,sk7,sk11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_14) ).
fof(f13_nnf,plain,
accountability(sk2,sk7,sk11),
inference(nnf_transformation,[status(thm)],[f13]) ).
cnf(c13,plain,
accountability(sk2,sk7,sk11),
inference(cnf_transformation,[status(esa)],[f13_nnf]) ).
cnf(t3,plain,
accountability(sk2,sk7,sk11) = true,
inference(equality_encoding,[status(esa)],[c13]) ).
cnf(t23,plain,
accountability(sk2,sk7,sk11) = true,
inference(orient,[status(thm)],[t3]) ).
cnf(t86,plain,
true = ifeq(organization(sk2,sk11),true,ifeq(organization(X1,X2),true,ifeq(reliability(sk2,X3,sk11),true,ifeq(reliability(X1,X4,X2),true,ifeq(true,true,ifeq(accountability(X1,X5,X2),true,ifeq(reproducibility(sk2,X6,sk11),true,ifeq(reproducibility(X1,X7,X2),true,ifeq(greater(X7,X6),true,greater(X5,sk7),true),true),true),true),true),true),true),true),true),
inference(cp,[status(thm)],[t79,t23]) ).
cnf(f5,negated_conjecture,
organization(sk2,sk11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_6) ).
fof(f5_nnf,plain,
organization(sk2,sk11),
inference(nnf_transformation,[status(thm)],[f5]) ).
cnf(c5,plain,
organization(sk2,sk11),
inference(cnf_transformation,[status(esa)],[f5_nnf]) ).
cnf(t1,plain,
organization(sk2,sk11) = true,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(t21,plain,
organization(sk2,sk11) = true,
inference(orient,[status(thm)],[t1]) ).
cnf(t3661,plain,
true = ifeq(true,true,ifeq(organization(X1,X2),true,ifeq(reliability(sk2,X3,sk11),true,ifeq(reliability(X1,X4,X2),true,ifeq(true,true,ifeq(accountability(X1,X5,X2),true,ifeq(reproducibility(sk2,X6,sk11),true,ifeq(reproducibility(X1,X7,X2),true,ifeq(greater(X7,X6),true,greater(X5,sk7),true),true),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t86,t21]) ).
cnf(t3662,plain,
true = ifeq(organization(X1,X2),true,ifeq(reliability(sk2,X3,sk11),true,ifeq(reliability(X1,X4,X2),true,ifeq(true,true,ifeq(accountability(X1,X5,X2),true,ifeq(reproducibility(sk2,X6,sk11),true,ifeq(reproducibility(X1,X7,X2),true,ifeq(greater(X7,X6),true,greater(X5,sk7),true),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t3661,t33]) ).
cnf(t3663,plain,
true = ifeq(organization(X1,X2),true,ifeq(reliability(sk2,X3,sk11),true,ifeq(reliability(X1,X4,X2),true,ifeq(accountability(X1,X5,X2),true,ifeq(reproducibility(sk2,X6,sk11),true,ifeq(reproducibility(X1,X7,X2),true,ifeq(greater(X7,X6),true,greater(X5,sk7),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t3662,t33]) ).
cnf(t932,plain,
ifeq(organization(X1,X2),true,ifeq(reliability(sk2,X3,sk11),true,ifeq(reliability(X1,X4,X2),true,ifeq(accountability(X1,X5,X2),true,ifeq(reproducibility(sk2,X6,sk11),true,ifeq(reproducibility(X1,X7,X2),true,ifeq(greater(X7,X6),true,greater(X5,sk7),true),true),true),true),true),true),true) = true,
inference(orient,[status(thm)],[t3663]) ).
cnf(f14,negated_conjecture,
accountability(sk3,sk8,sk12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_15) ).
fof(f14_nnf,plain,
accountability(sk3,sk8,sk12),
inference(nnf_transformation,[status(thm)],[f14]) ).
cnf(c14,plain,
accountability(sk3,sk8,sk12),
inference(cnf_transformation,[status(esa)],[f14_nnf]) ).
cnf(t4,plain,
accountability(sk3,sk8,sk12) = true,
inference(equality_encoding,[status(esa)],[c14]) ).
cnf(t24,plain,
accountability(sk3,sk8,sk12) = true,
inference(orient,[status(thm)],[t4]) ).
cnf(t934,plain,
true = ifeq(organization(sk3,sk12),true,ifeq(reliability(sk2,X1,sk11),true,ifeq(reliability(sk3,X2,sk12),true,ifeq(true,true,ifeq(reproducibility(sk2,X3,sk11),true,ifeq(reproducibility(sk3,X4,sk12),true,ifeq(greater(X4,X3),true,greater(sk8,sk7),true),true),true),true),true),true),true),
inference(cp,[status(thm)],[t932,t24]) ).
cnf(f6,negated_conjecture,
organization(sk3,sk12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_7) ).
fof(f6_nnf,plain,
organization(sk3,sk12),
inference(nnf_transformation,[status(thm)],[f6]) ).
cnf(c6,plain,
organization(sk3,sk12),
inference(cnf_transformation,[status(esa)],[f6_nnf]) ).
cnf(t2,plain,
organization(sk3,sk12) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(t22,plain,
organization(sk3,sk12) = true,
inference(orient,[status(thm)],[t2]) ).
cnf(t3691,plain,
true = ifeq(true,true,ifeq(reliability(sk2,X1,sk11),true,ifeq(reliability(sk3,X2,sk12),true,ifeq(true,true,ifeq(reproducibility(sk2,X3,sk11),true,ifeq(reproducibility(sk3,X4,sk12),true,ifeq(greater(X4,X3),true,greater(sk8,sk7),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t934,t22]) ).
cnf(t3692,plain,
true = ifeq(reliability(sk2,X1,sk11),true,ifeq(reliability(sk3,X2,sk12),true,ifeq(true,true,ifeq(reproducibility(sk2,X3,sk11),true,ifeq(reproducibility(sk3,X4,sk12),true,ifeq(greater(X4,X3),true,greater(sk8,sk7),true),true),true),true),true),true),
inference(step,[status(thm)],[t3691,t33]) ).
cnf(t3693,plain,
true = ifeq(reliability(sk2,X1,sk11),true,ifeq(reliability(sk3,X2,sk12),true,ifeq(reproducibility(sk2,X3,sk11),true,ifeq(reproducibility(sk3,X4,sk12),true,ifeq(greater(X4,X3),true,greater(sk8,sk7),true),true),true),true),true),
inference(step,[status(thm)],[t3692,t33]) ).
cnf(t1016,plain,
ifeq(reliability(sk2,X1,sk11),true,ifeq(reliability(sk3,X2,sk12),true,ifeq(reproducibility(sk2,X3,sk11),true,ifeq(reproducibility(sk3,X4,sk12),true,ifeq(greater(X4,X3),true,greater(sk8,sk7),true),true),true),true),true) = true,
inference(orient,[status(thm)],[t3693]) ).
cnf(f11,negated_conjecture,
reliability(sk2,sk5,sk11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_12) ).
fof(f11_nnf,plain,
reliability(sk2,sk5,sk11),
inference(nnf_transformation,[status(thm)],[f11]) ).
cnf(c11,plain,
reliability(sk2,sk5,sk11),
inference(cnf_transformation,[status(esa)],[f11_nnf]) ).
cnf(t7,plain,
reliability(sk2,sk5,sk11) = true,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(t27,plain,
reliability(sk2,sk5,sk11) = true,
inference(orient,[status(thm)],[t7]) ).
cnf(t1018,plain,
true = ifeq(true,true,ifeq(reliability(sk3,X1,sk12),true,ifeq(reproducibility(sk2,X2,sk11),true,ifeq(reproducibility(sk3,X3,sk12),true,ifeq(greater(X3,X2),true,greater(sk8,sk7),true),true),true),true),true),
inference(cp,[status(thm)],[t1016,t27]) ).
cnf(t3694,plain,
true = ifeq(reliability(sk3,X1,sk12),true,ifeq(reproducibility(sk2,X2,sk11),true,ifeq(reproducibility(sk3,X3,sk12),true,ifeq(greater(X3,X2),true,greater(sk8,sk7),true),true),true),true),
inference(step,[status(thm)],[t1018,t33]) ).
cnf(t1022,plain,
ifeq(reliability(sk3,X1,sk12),true,ifeq(reproducibility(sk2,X2,sk11),true,ifeq(reproducibility(sk3,X3,sk12),true,ifeq(greater(X3,X2),true,greater(sk8,sk7),true),true),true),true) = true,
inference(orient,[status(thm)],[t3694]) ).
cnf(f12,negated_conjecture,
reliability(sk3,sk6,sk12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_13) ).
fof(f12_nnf,plain,
reliability(sk3,sk6,sk12),
inference(nnf_transformation,[status(thm)],[f12]) ).
cnf(c12,plain,
reliability(sk3,sk6,sk12),
inference(cnf_transformation,[status(esa)],[f12_nnf]) ).
cnf(t8,plain,
reliability(sk3,sk6,sk12) = true,
inference(equality_encoding,[status(esa)],[c12]) ).
cnf(t28,plain,
reliability(sk3,sk6,sk12) = true,
inference(orient,[status(thm)],[t8]) ).
cnf(t1025,plain,
true = ifeq(true,true,ifeq(reproducibility(sk2,X1,sk11),true,ifeq(reproducibility(sk3,X2,sk12),true,ifeq(greater(X2,X1),true,greater(sk8,sk7),true),true),true),true),
inference(cp,[status(thm)],[t1022,t28]) ).
cnf(t3695,plain,
true = ifeq(reproducibility(sk2,X1,sk11),true,ifeq(reproducibility(sk3,X2,sk12),true,ifeq(greater(X2,X1),true,greater(sk8,sk7),true),true),true),
inference(step,[status(thm)],[t1025,t33]) ).
cnf(t1028,plain,
ifeq(reproducibility(sk2,X1,sk11),true,ifeq(reproducibility(sk3,X2,sk12),true,ifeq(greater(X2,X1),true,greater(sk8,sk7),true),true),true) = true,
inference(orient,[status(thm)],[t3695]) ).
cnf(f4,hypothesis,
( greater(G,F)
| ~ greater(I,H)
| ~ size(C,I,D)
| ~ size(A,H,B)
| ~ reproducibility(C,G,D)
| ~ reproducibility(A,F,B)
| ~ class(C,E,D)
| ~ class(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',t9_FOL_5) ).
fof(f4_nnf,plain,
! [A,B,C,D,E,F,G,H,I] :
( greater(G,F)
| ~ greater(I,H)
| ~ size(C,I,D)
| ~ size(A,H,B)
| ~ reproducibility(C,G,D)
| ~ reproducibility(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [A,B,C,D,E,F,G,H,I] :
( greater(G,F)
| ~ greater(I,H)
| ~ size(C,I,D)
| ~ size(A,H,B)
| ~ reproducibility(C,G,D)
| ~ reproducibility(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( greater(X6,X5)
| ~ greater(X8,X7)
| ~ size(X2,X8,X3)
| ~ size(X0,X7,X1)
| ~ reproducibility(X2,X6,X3)
| ~ reproducibility(X0,X5,X1)
| ~ class(X2,X4,X3)
| ~ class(X0,X4,X1)
| ~ reorganization_free(X2,X3,X3)
| ~ reorganization_free(X0,X1,X1)
| ~ organization(X2,X3)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
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(class(X1,X5,X2),true,ifeq(class(X3,X5,X4),true,ifeq(reproducibility(X1,X6,X2),true,ifeq(reproducibility(X3,X7,X4),true,ifeq(size(X1,X8,X2),true,ifeq(size(X3,X9,X4),true,ifeq(greater(X9,X8),true,greater(X7,X6),true),true),true),true),true),true),true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(t160,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(class(X1,X5,X2),true,ifeq(class(X3,X5,X4),true,ifeq(reproducibility(X1,X6,X2),true,ifeq(reproducibility(X3,X7,X4),true,ifeq(size(X1,X8,X2),true,ifeq(size(X3,X9,X4),true,ifeq(greater(X9,X8),true,greater(X7,X6),true),true),true),true),true),true),true),true),true),true),true) = true,
inference(orient,[status(thm)],[t19]) ).
cnf(f9,negated_conjecture,
class(sk2,sk4,sk11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_10) ).
fof(f9_nnf,plain,
class(sk2,sk4,sk11),
inference(nnf_transformation,[status(thm)],[f9]) ).
cnf(c9,plain,
class(sk2,sk4,sk11),
inference(cnf_transformation,[status(esa)],[f9_nnf]) ).
cnf(t5,plain,
class(sk2,sk4,sk11) = true,
inference(equality_encoding,[status(esa)],[c9]) ).
cnf(t25,plain,
class(sk2,sk4,sk11) = true,
inference(orient,[status(thm)],[t5]) ).
cnf(t167,plain,
true = ifeq(organization(sk2,sk11),true,ifeq(organization(X1,X2),true,ifeq(reorganization_free(sk2,sk11,sk11),true,ifeq(reorganization_free(X1,X2,X2),true,ifeq(true,true,ifeq(class(X1,sk4,X2),true,ifeq(reproducibility(sk2,X3,sk11),true,ifeq(reproducibility(X1,X4,X2),true,ifeq(size(sk2,X5,sk11),true,ifeq(size(X1,X6,X2),true,ifeq(greater(X6,X5),true,greater(X4,X3),true),true),true),true),true),true),true),true),true),true),true),
inference(cp,[status(thm)],[t160,t25]) ).
cnf(t4173,plain,
true = ifeq(true,true,ifeq(organization(X1,X2),true,ifeq(reorganization_free(sk2,sk11,sk11),true,ifeq(reorganization_free(X1,X2,X2),true,ifeq(true,true,ifeq(class(X1,sk4,X2),true,ifeq(reproducibility(sk2,X3,sk11),true,ifeq(reproducibility(X1,X4,X2),true,ifeq(size(sk2,X5,sk11),true,ifeq(size(X1,X6,X2),true,ifeq(greater(X6,X5),true,greater(X4,X3),true),true),true),true),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t167,t21]) ).
cnf(t4174,plain,
true = ifeq(organization(X1,X2),true,ifeq(reorganization_free(sk2,sk11,sk11),true,ifeq(reorganization_free(X1,X2,X2),true,ifeq(true,true,ifeq(class(X1,sk4,X2),true,ifeq(reproducibility(sk2,X3,sk11),true,ifeq(reproducibility(X1,X4,X2),true,ifeq(size(sk2,X5,sk11),true,ifeq(size(X1,X6,X2),true,ifeq(greater(X6,X5),true,greater(X4,X3),true),true),true),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t4173,t33]) ).
cnf(f7,negated_conjecture,
reorganization_free(sk2,sk11,sk11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_8) ).
fof(f7_nnf,plain,
reorganization_free(sk2,sk11,sk11),
inference(nnf_transformation,[status(thm)],[f7]) ).
cnf(c7,plain,
reorganization_free(sk2,sk11,sk11),
inference(cnf_transformation,[status(esa)],[f7_nnf]) ).
cnf(t9,plain,
reorganization_free(sk2,sk11,sk11) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(t29,plain,
reorganization_free(sk2,sk11,sk11) = true,
inference(orient,[status(thm)],[t9]) ).
cnf(t4175,plain,
true = ifeq(organization(X1,X2),true,ifeq(true,true,ifeq(reorganization_free(X1,X2,X2),true,ifeq(true,true,ifeq(class(X1,sk4,X2),true,ifeq(reproducibility(sk2,X3,sk11),true,ifeq(reproducibility(X1,X4,X2),true,ifeq(size(sk2,X5,sk11),true,ifeq(size(X1,X6,X2),true,ifeq(greater(X6,X5),true,greater(X4,X3),true),true),true),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t4174,t29]) ).
cnf(t4176,plain,
true = ifeq(organization(X1,X2),true,ifeq(reorganization_free(X1,X2,X2),true,ifeq(true,true,ifeq(class(X1,sk4,X2),true,ifeq(reproducibility(sk2,X3,sk11),true,ifeq(reproducibility(X1,X4,X2),true,ifeq(size(sk2,X5,sk11),true,ifeq(size(X1,X6,X2),true,ifeq(greater(X6,X5),true,greater(X4,X3),true),true),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t4175,t33]) ).
cnf(t4177,plain,
true = ifeq(organization(X1,X2),true,ifeq(reorganization_free(X1,X2,X2),true,ifeq(class(X1,sk4,X2),true,ifeq(reproducibility(sk2,X3,sk11),true,ifeq(reproducibility(X1,X4,X2),true,ifeq(size(sk2,X5,sk11),true,ifeq(size(X1,X6,X2),true,ifeq(greater(X6,X5),true,greater(X4,X3),true),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t4176,t33]) ).
cnf(t2225,plain,
ifeq(organization(X1,X2),true,ifeq(reorganization_free(X1,X2,X2),true,ifeq(class(X1,sk4,X2),true,ifeq(reproducibility(sk2,X3,sk11),true,ifeq(reproducibility(X1,X4,X2),true,ifeq(size(sk2,X5,sk11),true,ifeq(size(X1,X6,X2),true,ifeq(greater(X6,X5),true,greater(X4,X3),true),true),true),true),true),true),true),true) = true,
inference(orient,[status(thm)],[t4177]) ).
cnf(f16,negated_conjecture,
size(sk3,sk10,sk12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_17) ).
fof(f16_nnf,plain,
size(sk3,sk10,sk12),
inference(nnf_transformation,[status(thm)],[f16]) ).
cnf(c16,plain,
size(sk3,sk10,sk12),
inference(cnf_transformation,[status(esa)],[f16_nnf]) ).
cnf(t12,plain,
size(sk3,sk10,sk12) = true,
inference(equality_encoding,[status(esa)],[c16]) ).
cnf(t32,plain,
size(sk3,sk10,sk12) = true,
inference(orient,[status(thm)],[t12]) ).
cnf(t2227,plain,
true = ifeq(organization(sk3,sk12),true,ifeq(reorganization_free(sk3,sk12,sk12),true,ifeq(class(sk3,sk4,sk12),true,ifeq(reproducibility(sk2,X1,sk11),true,ifeq(reproducibility(sk3,X2,sk12),true,ifeq(size(sk2,X3,sk11),true,ifeq(true,true,ifeq(greater(sk10,X3),true,greater(X2,X1),true),true),true),true),true),true),true),true),
inference(cp,[status(thm)],[t2225,t32]) ).
cnf(t4178,plain,
true = ifeq(true,true,ifeq(reorganization_free(sk3,sk12,sk12),true,ifeq(class(sk3,sk4,sk12),true,ifeq(reproducibility(sk2,X1,sk11),true,ifeq(reproducibility(sk3,X2,sk12),true,ifeq(size(sk2,X3,sk11),true,ifeq(true,true,ifeq(greater(sk10,X3),true,greater(X2,X1),true),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t2227,t22]) ).
cnf(t4179,plain,
true = ifeq(reorganization_free(sk3,sk12,sk12),true,ifeq(class(sk3,sk4,sk12),true,ifeq(reproducibility(sk2,X1,sk11),true,ifeq(reproducibility(sk3,X2,sk12),true,ifeq(size(sk2,X3,sk11),true,ifeq(true,true,ifeq(greater(sk10,X3),true,greater(X2,X1),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t4178,t33]) ).
cnf(f8,negated_conjecture,
reorganization_free(sk3,sk12,sk12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_9) ).
fof(f8_nnf,plain,
reorganization_free(sk3,sk12,sk12),
inference(nnf_transformation,[status(thm)],[f8]) ).
cnf(c8,plain,
reorganization_free(sk3,sk12,sk12),
inference(cnf_transformation,[status(esa)],[f8_nnf]) ).
cnf(t10,plain,
reorganization_free(sk3,sk12,sk12) = true,
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(t30,plain,
reorganization_free(sk3,sk12,sk12) = true,
inference(orient,[status(thm)],[t10]) ).
cnf(t4180,plain,
true = ifeq(true,true,ifeq(class(sk3,sk4,sk12),true,ifeq(reproducibility(sk2,X1,sk11),true,ifeq(reproducibility(sk3,X2,sk12),true,ifeq(size(sk2,X3,sk11),true,ifeq(true,true,ifeq(greater(sk10,X3),true,greater(X2,X1),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t4179,t30]) ).
cnf(t4181,plain,
true = ifeq(class(sk3,sk4,sk12),true,ifeq(reproducibility(sk2,X1,sk11),true,ifeq(reproducibility(sk3,X2,sk12),true,ifeq(size(sk2,X3,sk11),true,ifeq(true,true,ifeq(greater(sk10,X3),true,greater(X2,X1),true),true),true),true),true),true),
inference(step,[status(thm)],[t4180,t33]) ).
cnf(f10,negated_conjecture,
class(sk3,sk4,sk12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_11) ).
fof(f10_nnf,plain,
class(sk3,sk4,sk12),
inference(nnf_transformation,[status(thm)],[f10]) ).
cnf(c10,plain,
class(sk3,sk4,sk12),
inference(cnf_transformation,[status(esa)],[f10_nnf]) ).
cnf(t6,plain,
class(sk3,sk4,sk12) = true,
inference(equality_encoding,[status(esa)],[c10]) ).
cnf(t26,plain,
class(sk3,sk4,sk12) = true,
inference(orient,[status(thm)],[t6]) ).
cnf(t4182,plain,
true = ifeq(true,true,ifeq(reproducibility(sk2,X1,sk11),true,ifeq(reproducibility(sk3,X2,sk12),true,ifeq(size(sk2,X3,sk11),true,ifeq(true,true,ifeq(greater(sk10,X3),true,greater(X2,X1),true),true),true),true),true),true),
inference(step,[status(thm)],[t4181,t26]) ).
cnf(t4183,plain,
true = ifeq(reproducibility(sk2,X1,sk11),true,ifeq(reproducibility(sk3,X2,sk12),true,ifeq(size(sk2,X3,sk11),true,ifeq(true,true,ifeq(greater(sk10,X3),true,greater(X2,X1),true),true),true),true),true),
inference(step,[status(thm)],[t4182,t33]) ).
cnf(t4184,plain,
true = ifeq(reproducibility(sk2,X1,sk11),true,ifeq(reproducibility(sk3,X2,sk12),true,ifeq(size(sk2,X3,sk11),true,ifeq(greater(sk10,X3),true,greater(X2,X1),true),true),true),true),
inference(step,[status(thm)],[t4183,t33]) ).
cnf(t2239,plain,
ifeq(reproducibility(sk2,X1,sk11),true,ifeq(reproducibility(sk3,X2,sk12),true,ifeq(size(sk2,X3,sk11),true,ifeq(greater(sk10,X3),true,greater(X2,X1),true),true),true),true) = true,
inference(orient,[status(thm)],[t4184]) ).
cnf(f17,negated_conjecture,
greater(sk10,sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_18) ).
fof(f17_nnf,plain,
greater(sk10,sk9),
inference(nnf_transformation,[status(thm)],[f17]) ).
cnf(c17,plain,
greater(sk10,sk9),
inference(cnf_transformation,[status(esa)],[f17_nnf]) ).
cnf(t0,plain,
greater(sk10,sk9) = true,
inference(equality_encoding,[status(esa)],[c17]) ).
cnf(t20,plain,
greater(sk10,sk9) = true,
inference(orient,[status(thm)],[t0]) ).
cnf(t2240,plain,
true = ifeq(reproducibility(sk2,X1,sk11),true,ifeq(reproducibility(sk3,X2,sk12),true,ifeq(size(sk2,sk9,sk11),true,ifeq(true,true,greater(X2,X1),true),true),true),true),
inference(cp,[status(thm)],[t2239,t20]) ).
cnf(f15,negated_conjecture,
size(sk2,sk9,sk11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_16) ).
fof(f15_nnf,plain,
size(sk2,sk9,sk11),
inference(nnf_transformation,[status(thm)],[f15]) ).
cnf(c15,plain,
size(sk2,sk9,sk11),
inference(cnf_transformation,[status(esa)],[f15_nnf]) ).
cnf(t11,plain,
size(sk2,sk9,sk11) = true,
inference(equality_encoding,[status(esa)],[c15]) ).
cnf(t31,plain,
size(sk2,sk9,sk11) = true,
inference(orient,[status(thm)],[t11]) ).
cnf(t4185,plain,
true = ifeq(reproducibility(sk2,X1,sk11),true,ifeq(reproducibility(sk3,X2,sk12),true,ifeq(true,true,ifeq(true,true,greater(X2,X1),true),true),true),true),
inference(step,[status(thm)],[t2240,t31]) ).
cnf(t4186,plain,
true = ifeq(reproducibility(sk2,X1,sk11),true,ifeq(reproducibility(sk3,X2,sk12),true,ifeq(true,true,greater(X2,X1),true),true),true),
inference(step,[status(thm)],[t4185,t33]) ).
cnf(t4187,plain,
true = ifeq(reproducibility(sk2,X1,sk11),true,ifeq(reproducibility(sk3,X2,sk12),true,greater(X2,X1),true),true),
inference(step,[status(thm)],[t4186,t33]) ).
cnf(t2244,plain,
ifeq(reproducibility(sk2,X1,sk11),true,ifeq(reproducibility(sk3,X2,sk12),true,greater(X2,X1),true),true) = true,
inference(orient,[status(thm)],[t4187]) ).
cnf(f0,axiom,
( reproducibility(A,sk1(B,A),B)
| ~ organization(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp3_1) ).
fof(f0_nnf,plain,
! [A,B] :
( reproducibility(A,sk1(B,A),B)
| ~ organization(A,B) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [A,B] :
( reproducibility(A,sk1(B,A),B)
| ~ organization(A,B) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( reproducibility(X0,sk1(X1,X0),X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(t14,plain,
ifeq(organization(X1,X2),true,reproducibility(X1,sk1(X2,X1),X2),true) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(t34,plain,
ifeq(organization(X1,X2),true,reproducibility(X1,sk1(X2,X1),X2),true) = true,
inference(orient,[status(thm)],[t14]) ).
cnf(t35,plain,
true = ifeq(true,true,reproducibility(sk2,sk1(sk11,sk2),sk11),true),
inference(cp,[status(thm)],[t34,t21]) ).
cnf(t3205,plain,
true = reproducibility(sk2,sk1(sk11,sk2),sk11),
inference(step,[status(thm)],[t35,t33]) ).
cnf(t37,plain,
reproducibility(sk2,sk1(sk11,sk2),sk11) = true,
inference(orient,[status(thm)],[t3205]) ).
cnf(t2246,plain,
true = ifeq(true,true,ifeq(reproducibility(sk3,X1,sk12),true,greater(X1,sk1(sk11,sk2)),true),true),
inference(cp,[status(thm)],[t2244,t37]) ).
cnf(t4188,plain,
true = ifeq(reproducibility(sk3,X1,sk12),true,greater(X1,sk1(sk11,sk2)),true),
inference(step,[status(thm)],[t2246,t33]) ).
cnf(t2248,plain,
ifeq(reproducibility(sk3,X1,sk12),true,greater(X1,sk1(sk11,sk2)),true) = true,
inference(orient,[status(thm)],[t4188]) ).
cnf(t36,plain,
true = ifeq(true,true,reproducibility(sk3,sk1(sk12,sk3),sk12),true),
inference(cp,[status(thm)],[t34,t22]) ).
cnf(t3206,plain,
true = reproducibility(sk3,sk1(sk12,sk3),sk12),
inference(step,[status(thm)],[t36,t33]) ).
cnf(t38,plain,
reproducibility(sk3,sk1(sk12,sk3),sk12) = true,
inference(orient,[status(thm)],[t3206]) ).
cnf(t2249,plain,
true = ifeq(true,true,greater(sk1(sk12,sk3),sk1(sk11,sk2)),true),
inference(cp,[status(thm)],[t2248,t38]) ).
cnf(t4189,plain,
true = greater(sk1(sk12,sk3),sk1(sk11,sk2)),
inference(step,[status(thm)],[t2249,t33]) ).
cnf(t2260,plain,
greater(sk1(sk12,sk3),sk1(sk11,sk2)) = true,
inference(orient,[status(thm)],[t4189]) ).
cnf(t2433,plain,
true = ifeq(reproducibility(sk2,sk1(sk11,sk2),sk11),true,ifeq(reproducibility(sk3,sk1(sk12,sk3),sk12),true,ifeq(true,true,greater(sk8,sk7),true),true),true),
inference(cp,[status(thm)],[t1028,t2260]) ).
cnf(t4206,plain,
true = ifeq(true,true,ifeq(reproducibility(sk3,sk1(sk12,sk3),sk12),true,ifeq(true,true,greater(sk8,sk7),true),true),true),
inference(step,[status(thm)],[t2433,t37]) ).
cnf(t4207,plain,
true = ifeq(reproducibility(sk3,sk1(sk12,sk3),sk12),true,ifeq(true,true,greater(sk8,sk7),true),true),
inference(step,[status(thm)],[t4206,t33]) ).
cnf(t4208,plain,
true = ifeq(true,true,ifeq(true,true,greater(sk8,sk7),true),true),
inference(step,[status(thm)],[t4207,t38]) ).
cnf(t4209,plain,
true = ifeq(true,true,greater(sk8,sk7),true),
inference(step,[status(thm)],[t4208,t33]) ).
cnf(t4210,plain,
true = greater(sk8,sk7),
inference(step,[status(thm)],[t4209,t33]) ).
cnf(t2875,plain,
greater(sk8,sk7) = true,
inference(orient,[status(thm)],[t4210]) ).
cnf(t4241,plain,
ifeq(true,true,false,true) = true,
inference(step,[status(thm)],[t4240,t2875]) ).
cnf(t4242,plain,
false = true,
inference(step,[status(thm)],[t4241,t33]) ).
cnf(t3204,plain,
false = true,
inference(orient,[status(thm)],[t4242]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c18]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t3204]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT010-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/10.38 % Computer : n018.cluster.edu
% 0.10/10.38 % Model : x86_64 x86_64
% 0.10/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.38 % Memory : 8046.5625MB
% 0.10/10.38 % OS : Linux 6.8.0-71-generic
% 0.10/10.38 % CPULimit : 300
% 0.10/10.38 % WCLimit : 300
% 0.10/10.38 % DateTime : Thu Sep 24 00:59:44 UTC 2026
% 0.10/10.38 % CPUTime :
% 0.10/10.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 29.56/14.37 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.56/14.37 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------