TSTP Solution File: CAT032+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : CAT032+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 : Fri Jul 15 00:07:36 EDT 2022
% Result : Theorem 0.51s 0.73s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 15
% Syntax : Number of clauses : 20 ( 8 unt; 0 nHn; 20 RR)
% Number of literals : 87 ( 0 equ; 69 neg)
% Maximal clause size : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
v2_cat_1(skc8),
file('CAT032+1.p',unknown),
[] ).
cnf(2,axiom,
v2_cat_1(skc7),
file('CAT032+1.p',unknown),
[] ).
cnf(3,axiom,
v2_cat_1(skc6),
file('CAT032+1.p',unknown),
[] ).
cnf(4,axiom,
l1_cat_1(skc6),
file('CAT032+1.p',unknown),
[] ).
cnf(5,axiom,
l1_cat_1(skc7),
file('CAT032+1.p',unknown),
[] ).
cnf(6,axiom,
l1_cat_1(skc8),
file('CAT032+1.p',unknown),
[] ).
cnf(49,axiom,
~ r1_isocat_1(k12_nattra_1(skc6,k11_cat_2(skc7,skc8)),k11_cat_2(k12_nattra_1(skc6,skc7),k12_nattra_1(skc6,skc8))),
file('CAT032+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ v2_cat_1(u)
| ~ l1_cat_1(u)
| ~ l1_cat_1(v)
| ~ v2_cat_1(v)
| v2_cat_1(k11_cat_2(v,u)) ),
file('CAT032+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ v2_cat_1(u)
| ~ l1_cat_1(u)
| ~ l1_cat_1(v)
| ~ v2_cat_1(v)
| l1_cat_1(k11_cat_2(v,u)) ),
file('CAT032+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ v2_cat_1(u)
| ~ l1_cat_1(u)
| ~ l1_cat_1(v)
| ~ v2_cat_1(v)
| v1_cat_1(k12_nattra_1(v,u)) ),
file('CAT032+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ v2_cat_1(u)
| ~ l1_cat_1(u)
| ~ l1_cat_1(v)
| ~ v2_cat_1(v)
| v2_cat_1(k12_nattra_1(v,u)) ),
file('CAT032+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ v2_cat_1(u)
| ~ l1_cat_1(u)
| ~ l1_cat_1(v)
| ~ v2_cat_1(v)
| l1_cat_1(k12_nattra_1(v,u)) ),
file('CAT032+1.p',unknown),
[] ).
cnf(63,axiom,
( ~ l1_cat_1(u)
| ~ v2_cat_1(u)
| ~ l1_cat_1(v)
| ~ v2_cat_1(v)
| ~ v8_cat_1(w,v,u)
| ~ m2_cat_1(w,v,u)
| r1_isocat_1(v,u) ),
file('CAT032+1.p',unknown),
[] ).
cnf(64,axiom,
( ~ l1_cat_1(u)
| ~ v2_cat_1(u)
| ~ l1_cat_1(v)
| ~ v2_cat_1(v)
| ~ l1_cat_1(w)
| ~ v2_cat_1(w)
| v8_cat_1(k17_isocat_2(w,v,u),k12_nattra_1(w,k11_cat_2(v,u)),k11_cat_2(k12_nattra_1(w,v),k12_nattra_1(w,u))) ),
file('CAT032+1.p',unknown),
[] ).
cnf(65,axiom,
( ~ l1_cat_1(u)
| ~ v2_cat_1(u)
| ~ v2_cat_1(v)
| ~ l1_cat_1(v)
| ~ l1_cat_1(w)
| ~ v2_cat_1(w)
| m2_cat_1(k17_isocat_2(w,v,u),k12_nattra_1(w,k11_cat_2(v,u)),k11_cat_2(k12_nattra_1(w,v),k12_nattra_1(w,u))) ),
file('CAT032+1.p',unknown),
[] ).
cnf(529,plain,
( ~ l1_cat_1(u)
| ~ v2_cat_1(u)
| ~ l1_cat_1(v)
| ~ v2_cat_1(v)
| ~ l1_cat_1(w)
| ~ v2_cat_1(w)
| ~ l1_cat_1(k11_cat_2(k12_nattra_1(w,v),k12_nattra_1(w,u)))
| ~ v2_cat_1(k11_cat_2(k12_nattra_1(w,v),k12_nattra_1(w,u)))
| ~ l1_cat_1(k12_nattra_1(w,k11_cat_2(v,u)))
| ~ v2_cat_1(k12_nattra_1(w,k11_cat_2(v,u)))
| ~ m2_cat_1(k17_isocat_2(w,v,u),k12_nattra_1(w,k11_cat_2(v,u)),k11_cat_2(k12_nattra_1(w,v),k12_nattra_1(w,u)))
| r1_isocat_1(k12_nattra_1(w,k11_cat_2(v,u)),k11_cat_2(k12_nattra_1(w,v),k12_nattra_1(w,u))) ),
inference(res,[status(thm),theory(equality)],[64,63]),
[iquote('0:Res:64.6,63.4')] ).
cnf(530,plain,
( ~ l1_cat_1(u)
| ~ v2_cat_1(u)
| ~ l1_cat_1(v)
| ~ v2_cat_1(v)
| ~ l1_cat_1(w)
| ~ v2_cat_1(w)
| ~ m2_cat_1(k17_isocat_2(w,v,u),k12_nattra_1(w,k11_cat_2(v,u)),k11_cat_2(k12_nattra_1(w,v),k12_nattra_1(w,u)))
| r1_isocat_1(k12_nattra_1(w,k11_cat_2(v,u)),k11_cat_2(k12_nattra_1(w,v),k12_nattra_1(w,u))) ),
inference(ssi,[status(thm)],[529,52,50,51,53,54]),
[iquote('0:SSi:529.9,529.8,529.7,529.6,52.4,50.4,51.4,53.4,50.4,51.4,54.4,50.4,51.4,52.4,50.4,51.4,53.4,50.4,51.4,54.4,50.4,51.4,50.4,52.4,53.4,54.4,52.4,53.4,54.4,51.4,52.4,53.4,54.4,52.4,53.4,54.4,50.4,52.4,53.4,54.4,52.4,53.4,54.4,51.4,52.4,53.4,54.4,52.4,53.4,54.4')] ).
cnf(531,plain,
( ~ l1_cat_1(u)
| ~ v2_cat_1(u)
| ~ l1_cat_1(v)
| ~ v2_cat_1(v)
| ~ l1_cat_1(w)
| ~ v2_cat_1(w)
| r1_isocat_1(k12_nattra_1(w,k11_cat_2(v,u)),k11_cat_2(k12_nattra_1(w,v),k12_nattra_1(w,u))) ),
inference(mrr,[status(thm)],[530,65]),
[iquote('0:MRR:530.6,65.6')] ).
cnf(1894,plain,
( ~ l1_cat_1(skc8)
| ~ v2_cat_1(skc8)
| ~ l1_cat_1(skc7)
| ~ v2_cat_1(skc7)
| ~ l1_cat_1(skc6)
| ~ v2_cat_1(skc6) ),
inference(res,[status(thm),theory(equality)],[531,49]),
[iquote('0:Res:531.6,49.0')] ).
cnf(1895,plain,
$false,
inference(ssi,[status(thm)],[1894,3,4,2,5,1,6]),
[iquote('0:SSi:1894.5,1894.4,1894.3,1894.2,1894.1,1894.0,3.0,4.0,3.0,4.0,2.0,5.0,2.0,5.0,1.0,6.0,1.0,6.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : CAT032+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun May 29 22:11:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.51/0.73
% 0.51/0.73 SPASS V 3.9
% 0.51/0.73 SPASS beiseite: Proof found.
% 0.51/0.73 % SZS status Theorem
% 0.51/0.73 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.51/0.73 SPASS derived 1522 clauses, backtracked 0 clauses, performed 0 splits and kept 955 clauses.
% 0.51/0.73 SPASS allocated 99620 KBytes.
% 0.51/0.73 SPASS spent 0:00:00.38 on the problem.
% 0.51/0.73 0:00:00.03 for the input.
% 0.51/0.73 0:00:00.06 for the FLOTTER CNF translation.
% 0.51/0.73 0:00:00.04 for inferences.
% 0.51/0.73 0:00:00.00 for the backtracking.
% 0.51/0.73 0:00:00.20 for the reduction.
% 0.51/0.73
% 0.51/0.73
% 0.51/0.73 Here is a proof with depth 2, length 20 :
% 0.51/0.73 % SZS output start Refutation
% See solution above
% 0.51/0.73 Formulae used in the proof : t49_isocat_2 dt_k11_cat_2 dt_k12_nattra_1 d4_isocat_1 t48_isocat_2 dt_k17_isocat_2
% 0.51/0.73
%------------------------------------------------------------------------------