TSTP Solution File: MGT003-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : MGT003-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 22:26:07 EDT 2022
% Result : Unsatisfiable 0.14s 0.36s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of clauses : 26 ( 13 unt; 0 nHn; 26 RR)
% Number of literals : 76 ( 0 equ; 54 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 13 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ reorganization_free(u,v,w)
| reorganization_free(u,v,v) ),
file('MGT003-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ reorganization_free(u,v,w)
| reorganization_free(u,w,w) ),
file('MGT003-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ organization(u,v)
| inertia(u,sk1(v,u),v) ),
file('MGT003-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ greater(u,v)
| ~ organization(w,x)
| ~ organization(y,z)
| ~ survival_chance(w,x1,x)
| ~ survival_chance(y,x2,z)
| ~ inertia(w,u,x)
| ~ inertia(y,v,z)
| ~ reorganization_free(w,x,x)
| ~ reorganization_free(y,z,z)
| greater(x1,x2) ),
file('MGT003-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ greater(u,v)
| ~ organization(w,u)
| ~ organization(w,v)
| ~ inertia(w,x,u)
| ~ inertia(w,y,v)
| ~ reorganization_free(w,v,u)
| greater(x,y) ),
file('MGT003-1.p',unknown),
[] ).
cnf(6,axiom,
organization(sk2,sk5),
file('MGT003-1.p',unknown),
[] ).
cnf(7,axiom,
organization(sk2,sk6),
file('MGT003-1.p',unknown),
[] ).
cnf(8,axiom,
reorganization_free(sk2,sk5,sk6),
file('MGT003-1.p',unknown),
[] ).
cnf(9,axiom,
survival_chance(sk2,sk3,sk5),
file('MGT003-1.p',unknown),
[] ).
cnf(10,axiom,
survival_chance(sk2,sk4,sk6),
file('MGT003-1.p',unknown),
[] ).
cnf(11,axiom,
greater(sk6,sk5),
file('MGT003-1.p',unknown),
[] ).
cnf(12,axiom,
~ greater(sk4,sk3),
file('MGT003-1.p',unknown),
[] ).
cnf(17,plain,
inertia(sk2,sk1(sk6,sk2),sk6),
inference(res,[status(thm),theory(equality)],[7,3]),
[iquote('0:Res:7.0,3.0')] ).
cnf(21,plain,
( ~ greater(u,sk5)
| ~ organization(sk2,u)
| ~ inertia(sk2,v,u)
| ~ inertia(sk2,w,sk5)
| ~ reorganization_free(sk2,sk5,u)
| greater(v,w) ),
inference(res,[status(thm),theory(equality)],[6,5]),
[iquote('0:Res:6.0,5.0')] ).
cnf(22,plain,
inertia(sk2,sk1(sk5,sk2),sk5),
inference(res,[status(thm),theory(equality)],[6,3]),
[iquote('0:Res:6.0,3.0')] ).
cnf(25,plain,
reorganization_free(sk2,sk6,sk6),
inference(res,[status(thm),theory(equality)],[8,2]),
[iquote('0:Res:8.0,2.0')] ).
cnf(29,plain,
reorganization_free(sk2,sk5,sk5),
inference(res,[status(thm),theory(equality)],[8,1]),
[iquote('0:Res:8.0,1.0')] ).
cnf(47,plain,
( ~ greater(u,v)
| ~ organization(sk2,sk6)
| ~ organization(w,x)
| ~ survival_chance(w,y,x)
| ~ inertia(sk2,u,sk6)
| ~ inertia(w,v,x)
| ~ reorganization_free(sk2,sk6,sk6)
| ~ reorganization_free(w,x,x)
| greater(sk4,y) ),
inference(res,[status(thm),theory(equality)],[10,4]),
[iquote('0:Res:10.0,4.3')] ).
cnf(50,plain,
( ~ greater(u,v)
| ~ organization(w,x)
| ~ survival_chance(w,y,x)
| ~ inertia(sk2,u,sk6)
| ~ inertia(w,v,x)
| ~ reorganization_free(w,x,x)
| greater(sk4,y) ),
inference(mrr,[status(thm)],[47,7,25]),
[iquote('0:MRR:47.1,47.6,7.0,25.0')] ).
cnf(63,plain,
( ~ greater(sk6,sk5)
| ~ organization(sk2,sk6)
| ~ inertia(sk2,u,sk5)
| ~ reorganization_free(sk2,sk5,sk6)
| greater(sk1(sk6,sk2),u) ),
inference(res,[status(thm),theory(equality)],[17,21]),
[iquote('0:Res:17.0,21.2')] ).
cnf(65,plain,
( ~ inertia(sk2,u,sk5)
| greater(sk1(sk6,sk2),u) ),
inference(mrr,[status(thm)],[63,11,7,8]),
[iquote('0:MRR:63.0,63.1,63.3,11.0,7.0,8.0')] ).
cnf(114,plain,
( ~ greater(u,v)
| ~ organization(sk2,sk5)
| ~ inertia(sk2,u,sk6)
| ~ inertia(sk2,v,sk5)
| ~ reorganization_free(sk2,sk5,sk5)
| greater(sk4,sk3) ),
inference(res,[status(thm),theory(equality)],[9,50]),
[iquote('0:Res:9.0,50.2')] ).
cnf(115,plain,
( ~ greater(u,v)
| ~ inertia(sk2,u,sk6)
| ~ inertia(sk2,v,sk5) ),
inference(mrr,[status(thm)],[114,6,29,12]),
[iquote('0:MRR:114.1,114.4,114.5,6.0,29.0,12.0')] ).
cnf(117,plain,
( ~ greater(sk1(sk6,sk2),u)
| ~ inertia(sk2,u,sk5) ),
inference(res,[status(thm),theory(equality)],[17,115]),
[iquote('0:Res:17.0,115.1')] ).
cnf(119,plain,
~ inertia(sk2,u,sk5),
inference(mrr,[status(thm)],[117,65]),
[iquote('0:MRR:117.0,65.1')] ).
cnf(120,plain,
$false,
inference(unc,[status(thm)],[119,22]),
[iquote('0:UnC:119.0,22.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : MGT003-1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.09 % Command : run_spass %d %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Thu Jun 9 07:33:07 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.14/0.36
% 0.14/0.36 SPASS V 3.9
% 0.14/0.36 SPASS beiseite: Proof found.
% 0.14/0.36 % SZS status Theorem
% 0.14/0.36 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 SPASS derived 73 clauses, backtracked 0 clauses, performed 0 splits and kept 67 clauses.
% 0.14/0.36 SPASS allocated 63234 KBytes.
% 0.14/0.36 SPASS spent 0:00:00.06 on the problem.
% 0.14/0.36 0:00:00.03 for the input.
% 0.14/0.36 0:00:00.00 for the FLOTTER CNF translation.
% 0.14/0.36 0:00:00.00 for inferences.
% 0.14/0.36 0:00:00.00 for the backtracking.
% 0.14/0.36 0:00:00.01 for the reduction.
% 0.14/0.36
% 0.14/0.36
% 0.14/0.36 Here is a proof with depth 3, length 26 :
% 0.14/0.36 % SZS output start Refutation
% See solution above
% 0.14/0.36 Formulae used in the proof : mp4_1 mp4_2 mp5_3 t1_FOL_4 t2_FOL_5 t3_FOL_6 t3_FOL_7 t3_FOL_8 t3_FOL_9 t3_FOL_10 t3_FOL_11 t3_FOL_12
% 0.14/0.36
%------------------------------------------------------------------------------