%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT016-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : 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 02:11:18 PM UTC 2026
% Result : Unsatisfiable 4.19s 1.09s
% Output : Proof 4.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 16
% Syntax : Number of formulae : 77 ( 46 unt; 0 def)
% Number of atoms : 267 ( 0 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 373 ( 183 ~; 190 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 141 ( 0 sgn 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f2,hypothesis,
( greater(F,D)
| ~ greater(I,H)
| ~ inertia(C,I,B)
| ~ inertia(A,H,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ class(A,E,B)
| organization(C,D)
| ~ organization(C,B)
| ~ organization(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a14_FOL_3) ).
fof(f2_nnf,plain,
! [A,B,C,D,E,F,G,H,I] :
( greater(F,D)
| ~ greater(I,H)
| ~ inertia(C,I,B)
| ~ inertia(A,H,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ class(A,E,B)
| organization(C,D)
| ~ organization(C,B)
| ~ organization(A,B) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [A,B,C,D,E,F,G,H,I] :
( greater(F,D)
| ~ greater(I,H)
| ~ inertia(C,I,B)
| ~ inertia(A,H,B)
| ~ reorganization_type(C,G,B)
| ~ reorganization_type(A,G,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ class(A,E,B)
| organization(C,D)
| ~ organization(C,B)
| ~ organization(A,B) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( greater(X5,X3)
| ~ greater(X8,X7)
| ~ inertia(X2,X8,X1)
| ~ inertia(X0,X7,X1)
| ~ reorganization_type(X2,X6,X1)
| ~ reorganization_type(X0,X6,X1)
| ~ reorganization(X2,X1,X3)
| ~ reorganization(X0,X1,X5)
| ~ class(X2,X4,X1)
| ~ class(X0,X4,X1)
| organization(X2,X3)
| ~ organization(X2,X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(f3,negated_conjecture,
organization(sk2,sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_FOL_4) ).
fof(f3_nnf,plain,
organization(sk2,sk8),
inference(nnf_transformation,[status(thm)],[f3]) ).
cnf(c3,plain,
organization(sk2,sk8),
inference(cnf_transformation,[status(esa)],[f3_nnf]) ).
cnf(p29,plain,
( greater(X3,X1)
| ~ greater(X6,X5)
| ~ inertia(X0,X6,sk8)
| ~ inertia(sk2,X5,sk8)
| ~ reorganization_type(X0,X4,sk8)
| ~ reorganization_type(sk2,X4,sk8)
| ~ reorganization(X0,sk8,X1)
| ~ reorganization(sk2,sk8,X3)
| ~ class(X0,X2,sk8)
| ~ class(sk2,X2,sk8)
| organization(X0,X1)
| ~ organization(X0,sk8) ),
inference(resolution,[status(thm)],[c2,c3]) ).
cnf(f4,negated_conjecture,
organization(sk3,sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_FOL_5) ).
fof(f4_nnf,plain,
organization(sk3,sk8),
inference(nnf_transformation,[status(thm)],[f4]) ).
cnf(c4,plain,
organization(sk3,sk8),
inference(cnf_transformation,[status(esa)],[f4_nnf]) ).
cnf(p61,plain,
( greater(X2,X0)
| ~ greater(X5,X4)
| ~ inertia(sk3,X5,sk8)
| ~ inertia(sk2,X4,sk8)
| ~ reorganization_type(sk3,X3,sk8)
| ~ reorganization_type(sk2,X3,sk8)
| ~ reorganization(sk3,sk8,X0)
| ~ reorganization(sk2,sk8,X2)
| ~ class(sk3,X1,sk8)
| ~ class(sk2,X1,sk8)
| organization(sk3,X0) ),
inference(resolution,[status(thm)],[p29,c4]) ).
cnf(f6,negated_conjecture,
class(sk2,sk5,sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_FOL_7) ).
fof(f6_nnf,plain,
class(sk2,sk5,sk8),
inference(nnf_transformation,[status(thm)],[f6]) ).
cnf(c6,plain,
class(sk2,sk5,sk8),
inference(cnf_transformation,[status(esa)],[f6_nnf]) ).
cnf(p96,plain,
( greater(X1,X0)
| ~ greater(X4,X3)
| ~ inertia(sk3,X4,sk8)
| ~ inertia(sk2,X3,sk8)
| ~ reorganization_type(sk3,X2,sk8)
| ~ reorganization_type(sk2,X2,sk8)
| ~ reorganization(sk3,sk8,X0)
| ~ reorganization(sk2,sk8,X1)
| ~ class(sk3,sk5,sk8)
| organization(sk3,X0) ),
inference(resolution,[status(thm)],[p61,c6]) ).
cnf(f7,negated_conjecture,
class(sk3,sk5,sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_FOL_8) ).
fof(f7_nnf,plain,
class(sk3,sk5,sk8),
inference(nnf_transformation,[status(thm)],[f7]) ).
cnf(c7,plain,
class(sk3,sk5,sk8),
inference(cnf_transformation,[status(esa)],[f7_nnf]) ).
cnf(p137,plain,
( greater(X1,X0)
| ~ greater(X4,X3)
| ~ inertia(sk3,X4,sk8)
| ~ inertia(sk2,X3,sk8)
| ~ reorganization_type(sk3,X2,sk8)
| ~ reorganization_type(sk2,X2,sk8)
| ~ reorganization(sk3,sk8,X0)
| ~ reorganization(sk2,sk8,X1)
| organization(sk3,X0) ),
inference(resolution,[status(thm)],[p96,c7]) ).
cnf(f8,negated_conjecture,
reorganization(sk2,sk8,sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_FOL_9) ).
fof(f8_nnf,plain,
reorganization(sk2,sk8,sk9),
inference(nnf_transformation,[status(thm)],[f8]) ).
cnf(c8,plain,
reorganization(sk2,sk8,sk9),
inference(cnf_transformation,[status(esa)],[f8_nnf]) ).
cnf(p149,plain,
( greater(sk9,X0)
| ~ greater(X3,X2)
| ~ inertia(sk3,X3,sk8)
| ~ inertia(sk2,X2,sk8)
| ~ reorganization_type(sk3,X1,sk8)
| ~ reorganization_type(sk2,X1,sk8)
| ~ reorganization(sk3,sk8,X0)
| organization(sk3,X0) ),
inference(resolution,[status(thm)],[p137,c8]) ).
cnf(f9,negated_conjecture,
reorganization(sk3,sk8,sk10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_FOL_10) ).
fof(f9_nnf,plain,
reorganization(sk3,sk8,sk10),
inference(nnf_transformation,[status(thm)],[f9]) ).
cnf(c9,plain,
reorganization(sk3,sk8,sk10),
inference(cnf_transformation,[status(esa)],[f9_nnf]) ).
cnf(p150,plain,
( greater(sk9,sk10)
| ~ greater(X2,X1)
| ~ inertia(sk3,X2,sk8)
| ~ inertia(sk2,X1,sk8)
| ~ reorganization_type(sk3,X0,sk8)
| ~ reorganization_type(sk2,X0,sk8)
| organization(sk3,sk10) ),
inference(resolution,[status(thm)],[p149,c9]) ).
cnf(f10,negated_conjecture,
reorganization_type(sk2,sk4,sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_FOL_11) ).
fof(f10_nnf,plain,
reorganization_type(sk2,sk4,sk8),
inference(nnf_transformation,[status(thm)],[f10]) ).
cnf(c10,plain,
reorganization_type(sk2,sk4,sk8),
inference(cnf_transformation,[status(esa)],[f10_nnf]) ).
cnf(p151,plain,
( greater(sk9,sk10)
| ~ greater(X1,X0)
| ~ inertia(sk3,X1,sk8)
| ~ inertia(sk2,X0,sk8)
| ~ reorganization_type(sk3,sk4,sk8)
| organization(sk3,sk10) ),
inference(resolution,[status(thm)],[p150,c10]) ).
cnf(f11,negated_conjecture,
reorganization_type(sk3,sk4,sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_FOL_12) ).
fof(f11_nnf,plain,
reorganization_type(sk3,sk4,sk8),
inference(nnf_transformation,[status(thm)],[f11]) ).
cnf(c11,plain,
reorganization_type(sk3,sk4,sk8),
inference(cnf_transformation,[status(esa)],[f11_nnf]) ).
cnf(p152,plain,
( greater(sk9,sk10)
| ~ greater(X1,X0)
| ~ inertia(sk3,X1,sk8)
| ~ inertia(sk2,X0,sk8)
| organization(sk3,sk10) ),
inference(resolution,[status(thm)],[p151,c11]) ).
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(p16,plain,
inertia(sk2,sk1(sk8,sk2),sk8),
inference(resolution,[status(thm)],[c0,c3]) ).
cnf(p153,plain,
( greater(sk9,sk10)
| ~ greater(X0,sk1(sk8,sk2))
| ~ inertia(sk3,X0,sk8)
| organization(sk3,sk10) ),
inference(resolution,[status(thm)],[p152,p16]) ).
cnf(p17,plain,
inertia(sk3,sk1(sk8,sk3),sk8),
inference(resolution,[status(thm)],[c0,c4]) ).
cnf(p154,plain,
( greater(sk9,sk10)
| ~ greater(sk1(sk8,sk3),sk1(sk8,sk2))
| organization(sk3,sk10) ),
inference(resolution,[status(thm)],[p153,p17]) ).
cnf(f1,hypothesis,
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ complexity(C,G,D)
| ~ complexity(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a12_FOL_2) ).
fof(f1_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)
| ~ complexity(C,G,D)
| ~ complexity(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_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)
| ~ complexity(C,G,D)
| ~ complexity(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( greater(X8,X7)
| ~ greater(X6,X5)
| ~ inertia(X2,X8,X3)
| ~ inertia(X0,X7,X1)
| ~ complexity(X2,X6,X3)
| ~ complexity(X0,X5,X1)
| ~ class(X2,X4,X3)
| ~ class(X0,X4,X1)
| ~ organization(X2,X3)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p22,plain,
( greater(X6,X5)
| ~ greater(X4,X3)
| ~ inertia(X0,X6,X1)
| ~ inertia(sk2,X5,sk8)
| ~ complexity(X0,X4,X1)
| ~ complexity(sk2,X3,sk8)
| ~ class(X0,X2,X1)
| ~ class(sk2,X2,sk8)
| ~ organization(X0,X1) ),
inference(resolution,[status(thm)],[c1,c3]) ).
cnf(p35,plain,
( greater(X4,X3)
| ~ greater(X2,X1)
| ~ inertia(sk3,X4,sk8)
| ~ inertia(sk2,X3,sk8)
| ~ complexity(sk3,X2,sk8)
| ~ complexity(sk2,X1,sk8)
| ~ class(sk3,X0,sk8)
| ~ class(sk2,X0,sk8) ),
inference(resolution,[status(thm)],[p22,c4]) ).
cnf(p63,plain,
( greater(X3,X2)
| ~ greater(X1,X0)
| ~ inertia(sk3,X3,sk8)
| ~ inertia(sk2,X2,sk8)
| ~ complexity(sk3,X1,sk8)
| ~ complexity(sk2,X0,sk8)
| ~ class(sk3,sk5,sk8) ),
inference(resolution,[status(thm)],[p35,c6]) ).
cnf(p66,plain,
( greater(X3,X2)
| ~ greater(X1,X0)
| ~ inertia(sk3,X3,sk8)
| ~ inertia(sk2,X2,sk8)
| ~ complexity(sk3,X1,sk8)
| ~ complexity(sk2,X0,sk8) ),
inference(resolution,[status(thm)],[p63,c7]) ).
cnf(f12,negated_conjecture,
complexity(sk2,sk6,sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_FOL_13) ).
fof(f12_nnf,plain,
complexity(sk2,sk6,sk8),
inference(nnf_transformation,[status(thm)],[f12]) ).
cnf(c12,plain,
complexity(sk2,sk6,sk8),
inference(cnf_transformation,[status(esa)],[f12_nnf]) ).
cnf(p67,plain,
( greater(X2,X1)
| ~ greater(X0,sk6)
| ~ inertia(sk3,X2,sk8)
| ~ inertia(sk2,X1,sk8)
| ~ complexity(sk3,X0,sk8) ),
inference(resolution,[status(thm)],[p66,c12]) ).
cnf(f13,negated_conjecture,
complexity(sk3,sk7,sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_FOL_14) ).
fof(f13_nnf,plain,
complexity(sk3,sk7,sk8),
inference(nnf_transformation,[status(thm)],[f13]) ).
cnf(c13,plain,
complexity(sk3,sk7,sk8),
inference(cnf_transformation,[status(esa)],[f13_nnf]) ).
cnf(p68,plain,
( greater(X1,X0)
| ~ greater(sk7,sk6)
| ~ inertia(sk3,X1,sk8)
| ~ inertia(sk2,X0,sk8) ),
inference(resolution,[status(thm)],[p67,c13]) ).
cnf(p69,plain,
( greater(X0,sk1(sk8,sk2))
| ~ greater(sk7,sk6)
| ~ inertia(sk3,X0,sk8) ),
inference(resolution,[status(thm)],[p68,p16]) ).
cnf(p73,plain,
( greater(sk1(sk8,sk3),sk1(sk8,sk2))
| ~ greater(sk7,sk6) ),
inference(resolution,[status(thm)],[p69,p17]) ).
cnf(f14,negated_conjecture,
greater(sk7,sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_FOL_15) ).
fof(f14_nnf,plain,
greater(sk7,sk6),
inference(nnf_transformation,[status(thm)],[f14]) ).
cnf(c14,plain,
greater(sk7,sk6),
inference(cnf_transformation,[status(esa)],[f14_nnf]) ).
cnf(p74,plain,
greater(sk1(sk8,sk3),sk1(sk8,sk2)),
inference(resolution,[status(thm)],[p73,c14]) ).
cnf(p155,plain,
( greater(sk9,sk10)
| organization(sk3,sk10) ),
inference(resolution,[status(thm)],[p154,p74]) ).
cnf(f15,negated_conjecture,
~ greater(sk9,sk10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_FOL_16) ).
fof(f15_nnf,plain,
~ greater(sk9,sk10),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
~ greater(sk9,sk10),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c15,plain,
~ greater(sk9,sk10),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p157,plain,
organization(sk3,sk10),
inference(resolution,[status(thm)],[p155,c15]) ).
cnf(f5,negated_conjecture,
~ organization(sk3,sk10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_FOL_6) ).
fof(f5_nnf,plain,
~ organization(sk3,sk10),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
~ organization(sk3,sk10),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
~ organization(sk3,sk10),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p158,plain,
$false,
inference(resolution,[status(thm)],[p157,c5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT016-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 01:05:52 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.19/1.09 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.19/1.09 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------