%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : MGT016+1 : TPTP v9.3.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n016.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 : Tue Sep 8 06:19:47 AM UTC 2026
% Result : Theorem 0.31s 0.63s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 16
% Syntax : Number of clauses : 35 ( 17 unt; 8 nHn; 35 RR)
% Number of literals : 136 ( 0 equ; 95 neg)
% Maximal clause size : 13 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 18 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
organization(skc17,skc13),
file('MGT016+1.p',unknown),
[] ).
cnf(2,axiom,
organization(skc16,skc13),
file('MGT016+1.p',unknown),
[] ).
cnf(3,axiom,
greater(skc11,skc12),
file('MGT016+1.p',unknown),
[] ).
cnf(4,axiom,
complexity(skc16,skc11,skc13),
file('MGT016+1.p',unknown),
[] ).
cnf(5,axiom,
reorganization_type(skc16,skc15,skc13),
file('MGT016+1.p',unknown),
[] ).
cnf(6,axiom,
reorganization(skc16,skc13,skc10),
file('MGT016+1.p',unknown),
[] ).
cnf(7,axiom,
class(skc16,skc14,skc13),
file('MGT016+1.p',unknown),
[] ).
cnf(8,axiom,
~ organization(skc16,skc10),
file('MGT016+1.p',unknown),
[] ).
cnf(9,axiom,
class(skc17,skc14,skc13),
file('MGT016+1.p',unknown),
[] ).
cnf(10,axiom,
reorganization(skc17,skc13,skc9),
file('MGT016+1.p',unknown),
[] ).
cnf(11,axiom,
reorganization_type(skc17,skc15,skc13),
file('MGT016+1.p',unknown),
[] ).
cnf(12,axiom,
complexity(skc17,skc12,skc13),
file('MGT016+1.p',unknown),
[] ).
cnf(13,axiom,
~ greater(skc9,skc10),
file('MGT016+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ organization(u,v)
| inertia(u,skf1(v,u),v) ),
file('MGT016+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ greater(u,v)
| ~ organization(w,x)
| ~ organization(y,z)
| ~ inertia(w,x1,x)
| ~ complexity(w,v,x)
| ~ class(w,x2,x)
| ~ class(y,x2,z)
| ~ complexity(y,u,z)
| ~ inertia(y,x3,z)
| greater(x3,x1) ),
file('MGT016+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ greater(u,v)
| ~ organization(w,x)
| ~ organization(y,x)
| ~ inertia(w,v,x)
| ~ reorganization_type(w,z,x)
| ~ reorganization(w,x,x1)
| ~ class(w,x2,x)
| ~ class(y,x2,x)
| ~ reorganization(y,x,x3)
| ~ reorganization_type(y,z,x)
| ~ inertia(y,u,x)
| greater(x1,x3)
| organization(y,x3) ),
file('MGT016+1.p',unknown),
[] ).
cnf(19,plain,
inertia(skc16,skf1(skc13,skc16),skc13),
inference(res,[status(thm),theory(equality)],[2,14]),
[iquote('0:Res:2.0,14.0')] ).
cnf(24,plain,
inertia(skc17,skf1(skc13,skc17),skc13),
inference(res,[status(thm),theory(equality)],[1,14]),
[iquote('0:Res:1.0,14.0')] ).
cnf(28,plain,
( ~ greater(u,v)
| ~ organization(w,skc13)
| ~ class(w,x,skc13)
| ~ reorganization_type(w,y,skc13)
| ~ inertia(w,u,skc13)
| ~ reorganization(w,skc13,z)
| ~ inertia(skc17,v,skc13)
| ~ reorganization_type(skc17,y,skc13)
| ~ class(skc17,x,skc13)
| ~ reorganization(skc17,skc13,x1)
| greater(x1,z)
| organization(w,z) ),
inference(res,[status(thm),theory(equality)],[1,16]),
[iquote('0:Res:1.0,16.5')] ).
cnf(32,plain,
( ~ inertia(u,v,w)
| ~ complexity(u,x,w)
| ~ class(u,y,w)
| ~ organization(u,w)
| ~ organization(skc17,skc13)
| ~ class(skc17,y,skc13)
| ~ inertia(skc17,z,skc13)
| ~ greater(x,skc12)
| greater(v,z) ),
inference(res,[status(thm),theory(equality)],[12,15]),
[iquote('0:Res:12.0,15.6')] ).
cnf(33,plain,
( ~ organization(u,v)
| ~ greater(w,skc12)
| ~ class(u,x,v)
| ~ complexity(u,w,v)
| ~ inertia(u,y,v)
| ~ inertia(skc17,z,skc13)
| ~ class(skc17,x,skc13)
| greater(y,z) ),
inference(mrr,[status(thm)],[32,1]),
[iquote('0:MRR:32.4,1.0')] ).
cnf(63,plain,
( ~ organization(skc16,skc13)
| ~ greater(u,skc12)
| ~ complexity(skc16,u,skc13)
| ~ inertia(skc16,v,skc13)
| ~ inertia(skc17,w,skc13)
| ~ class(skc17,skc14,skc13)
| greater(v,w) ),
inference(res,[status(thm),theory(equality)],[7,33]),
[iquote('0:Res:7.0,33.2')] ).
cnf(64,plain,
( ~ greater(u,skc12)
| ~ complexity(skc16,u,skc13)
| ~ inertia(skc16,v,skc13)
| ~ inertia(skc17,w,skc13)
| greater(v,w) ),
inference(mrr,[status(thm)],[63,2,9]),
[iquote('0:MRR:63.0,63.5,2.0,9.0')] ).
cnf(66,plain,
( ~ greater(skc11,skc12)
| ~ inertia(skc16,u,skc13)
| ~ inertia(skc17,v,skc13)
| greater(u,v) ),
inference(res,[status(thm),theory(equality)],[4,64]),
[iquote('0:Res:4.0,64.1')] ).
cnf(67,plain,
( ~ inertia(skc16,u,skc13)
| ~ inertia(skc17,v,skc13)
| greater(u,v) ),
inference(mrr,[status(thm)],[66,3]),
[iquote('0:MRR:66.0,3.0')] ).
cnf(172,plain,
( ~ greater(u,v)
| ~ organization(skc16,skc13)
| ~ reorganization_type(skc16,w,skc13)
| ~ inertia(skc16,u,skc13)
| ~ reorganization(skc16,skc13,x)
| ~ inertia(skc17,v,skc13)
| ~ reorganization_type(skc17,w,skc13)
| ~ class(skc17,skc14,skc13)
| ~ reorganization(skc17,skc13,y)
| greater(y,x)
| organization(skc16,x) ),
inference(res,[status(thm),theory(equality)],[7,28]),
[iquote('0:Res:7.0,28.2')] ).
cnf(173,plain,
( ~ reorganization_type(skc16,u,skc13)
| ~ inertia(skc16,v,skc13)
| ~ reorganization(skc16,skc13,w)
| ~ inertia(skc17,x,skc13)
| ~ reorganization_type(skc17,u,skc13)
| ~ reorganization(skc17,skc13,y)
| greater(y,w)
| organization(skc16,w) ),
inference(mrr,[status(thm)],[172,67,2,9]),
[iquote('0:MRR:172.0,172.1,172.7,67.2,2.0,9.0')] ).
cnf(245,plain,
( ~ inertia(skc16,u,skc13)
| ~ reorganization(skc16,skc13,v)
| ~ inertia(skc17,w,skc13)
| ~ reorganization_type(skc17,skc15,skc13)
| ~ reorganization(skc17,skc13,x)
| greater(x,v)
| organization(skc16,v) ),
inference(res,[status(thm),theory(equality)],[5,173]),
[iquote('0:Res:5.0,173.0')] ).
cnf(246,plain,
( ~ inertia(skc16,u,skc13)
| ~ reorganization(skc16,skc13,v)
| ~ inertia(skc17,w,skc13)
| ~ reorganization(skc17,skc13,x)
| greater(x,v)
| organization(skc16,v) ),
inference(mrr,[status(thm)],[245,11]),
[iquote('0:MRR:245.3,11.0')] ).
cnf(247,plain,
( ~ reorganization(skc16,skc13,u)
| ~ inertia(skc17,v,skc13)
| ~ reorganization(skc17,skc13,w)
| greater(w,u)
| organization(skc16,u) ),
inference(res,[status(thm),theory(equality)],[19,246]),
[iquote('0:Res:19.0,246.0')] ).
cnf(249,plain,
( ~ inertia(skc17,u,skc13)
| ~ reorganization(skc17,skc13,v)
| greater(v,skc10)
| organization(skc16,skc10) ),
inference(res,[status(thm),theory(equality)],[6,247]),
[iquote('0:Res:6.0,247.0')] ).
cnf(250,plain,
( ~ inertia(skc17,u,skc13)
| ~ reorganization(skc17,skc13,v)
| greater(v,skc10) ),
inference(mrr,[status(thm)],[249,8]),
[iquote('0:MRR:249.3,8.0')] ).
cnf(251,plain,
( ~ reorganization(skc17,skc13,u)
| greater(u,skc10) ),
inference(res,[status(thm),theory(equality)],[24,250]),
[iquote('0:Res:24.0,250.0')] ).
cnf(253,plain,
greater(skc9,skc10),
inference(res,[status(thm),theory(equality)],[10,251]),
[iquote('0:Res:10.0,251.0')] ).
cnf(254,plain,
$false,
inference(mrr,[status(thm)],[253,13]),
[iquote('0:MRR:253.0,13.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT016+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.04 % Command : run_spass %d %s
% 0.10/0.36 % Computer : n016.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 : Mon Sep 7 11:59:47 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.31/0.63
% 0.31/0.63 SPASS V 3.9
% 0.31/0.63 SPASS beiseite: Proof found.
% 0.31/0.63 % SZS status Theorem
% 0.31/0.63 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/0.63 SPASS derived 154 clauses, backtracked 0 clauses, performed 0 splits and kept 144 clauses.
% 0.31/0.63 SPASS allocated 85499 KBytes.
% 0.31/0.63 SPASS spent 0:00:00.24 on the problem.
% 0.31/0.63 0:00:00.06 for the input.
% 0.31/0.63 0:00:00.06 for the FLOTTER CNF translation.
% 0.31/0.63 0:00:00.01 for inferences.
% 0.31/0.63 0:00:00.00 for the backtracking.
% 0.31/0.63 0:00:00.06 for the reduction.
% 0.31/0.63
% 0.31/0.63
% 0.31/0.63 Here is a proof with depth 7, length 35 :
% 0.31/0.63 % SZS output start Refutation
% See solution above
% 0.13/0.63 Formulae used in the proof : t16_FOL mp5 a12_FOL a14_FOL
% 0.13/0.63
%------------------------------------------------------------------------------