TSTP Solution File: SEU413+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU413+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 : Tue Jul 19 14:37:06 EDT 2022
% Result : Theorem 0.38s 0.57s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of clauses : 26 ( 11 unt; 0 nHn; 26 RR)
% Number of literals : 65 ( 0 equ; 40 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
l1_orders_2(skc9),
file('SEU413+1.p',unknown),
[] ).
cnf(2,axiom,
l1_orders_2(skc8),
file('SEU413+1.p',unknown),
[] ).
cnf(9,axiom,
r2_hidden(skc11,u1_struct_0(skc8)),
file('SEU413+1.p',unknown),
[] ).
cnf(11,axiom,
~ r2_hidden(skc10,u1_struct_0(skc8)),
file('SEU413+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ l1_orders_2(u)
| l1_struct_0(u) ),
file('SEU413+1.p',unknown),
[] ).
cnf(15,axiom,
m1_subset_1(skc11,u1_struct_0(k1_latsum_1(skc8,skc9))),
file('SEU413+1.p',unknown),
[] ).
cnf(16,axiom,
m1_subset_1(skc10,u1_struct_0(k1_latsum_1(skc8,skc9))),
file('SEU413+1.p',unknown),
[] ).
cnf(17,axiom,
r1_orders_2(k1_latsum_1(skc8,skc9),skc10,skc11),
file('SEU413+1.p',unknown),
[] ).
cnf(21,axiom,
v12_waybel_0(k3_xboole_0(u1_struct_0(skc8),u1_struct_0(skc9)),skc9),
file('SEU413+1.p',unknown),
[] ).
cnf(28,axiom,
m1_subset_1(k3_xboole_0(u1_struct_0(skc8),u1_struct_0(skc9)),k1_zfmisc_1(u1_struct_0(skc9))),
file('SEU413+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ l1_orders_2(u)
| ~ l1_orders_2(v)
| v1_orders_2(k1_latsum_1(v,u)) ),
file('SEU413+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ l1_orders_2(u)
| ~ l1_orders_2(v)
| l1_orders_2(k1_latsum_1(v,u)) ),
file('SEU413+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ l1_orders_2(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| ~ m1_subset_1(w,u1_struct_0(u))
| ~ r1_orders_2(u,w,v)
| r2_hidden(k4_tarski(w,v),u1_orders_2(u)) ),
file('SEU413+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ l1_orders_2(u)
| ~ l1_orders_2(v)
| ~ r2_hidden(w,u1_struct_0(v))
| ~ r2_hidden(k4_tarski(x,w),u1_orders_2(k1_latsum_1(v,u)))
| ~ v12_waybel_0(k3_xboole_0(u1_struct_0(v),u1_struct_0(u)),u)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(v),u1_struct_0(u)),k1_zfmisc_1(u1_struct_0(u)))
| r2_hidden(x,u1_struct_0(v)) ),
file('SEU413+1.p',unknown),
[] ).
cnf(52,plain,
( ~ l1_orders_2(u)
| v1_orders_2(k1_latsum_1(skc8,u)) ),
inference(res,[status(thm),theory(equality)],[2,36]),
[iquote('0:Res:2.0,36.0')] ).
cnf(53,plain,
( ~ l1_orders_2(u)
| l1_orders_2(k1_latsum_1(skc8,u)) ),
inference(res,[status(thm),theory(equality)],[2,37]),
[iquote('0:Res:2.0,37.0')] ).
cnf(66,plain,
l1_struct_0(skc9),
inference(res,[status(thm),theory(equality)],[1,12]),
[iquote('0:Res:1.0,12.0')] ).
cnf(70,plain,
( ~ l1_orders_2(skc8)
| ~ l1_orders_2(u)
| ~ r2_hidden(k4_tarski(v,skc11),u1_orders_2(k1_latsum_1(skc8,u)))
| ~ v12_waybel_0(k3_xboole_0(u1_struct_0(skc8),u1_struct_0(u)),u)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(skc8),u1_struct_0(u)),k1_zfmisc_1(u1_struct_0(u)))
| r2_hidden(v,u1_struct_0(skc8)) ),
inference(res,[status(thm),theory(equality)],[9,47]),
[iquote('0:Res:9.0,47.3')] ).
cnf(80,plain,
( ~ l1_orders_2(k1_latsum_1(skc8,skc9))
| ~ m1_subset_1(u,u1_struct_0(k1_latsum_1(skc8,skc9)))
| ~ r1_orders_2(k1_latsum_1(skc8,skc9),skc10,u)
| r2_hidden(k4_tarski(skc10,u),u1_orders_2(k1_latsum_1(skc8,skc9))) ),
inference(res,[status(thm),theory(equality)],[16,46]),
[iquote('0:Res:16.0,46.2')] ).
cnf(98,plain,
( ~ l1_orders_2(u)
| ~ r2_hidden(k4_tarski(v,skc11),u1_orders_2(k1_latsum_1(skc8,u)))
| ~ v12_waybel_0(k3_xboole_0(u1_struct_0(skc8),u1_struct_0(u)),u)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(skc8),u1_struct_0(u)),k1_zfmisc_1(u1_struct_0(u)))
| r2_hidden(v,u1_struct_0(skc8)) ),
inference(mrr,[status(thm)],[70,2]),
[iquote('0:MRR:70.0,2.0')] ).
cnf(426,plain,
( ~ m1_subset_1(u,u1_struct_0(k1_latsum_1(skc8,skc9)))
| ~ r1_orders_2(k1_latsum_1(skc8,skc9),skc10,u)
| r2_hidden(k4_tarski(skc10,u),u1_orders_2(k1_latsum_1(skc8,skc9))) ),
inference(ssi,[status(thm)],[80,52,1,66,53]),
[iquote('0:SSi:80.0,52.0,1.0,66.1,53.0,1.0,66.1')] ).
cnf(1081,plain,
( ~ l1_orders_2(skc9)
| ~ r2_hidden(k4_tarski(u,skc11),u1_orders_2(k1_latsum_1(skc8,skc9)))
| ~ v12_waybel_0(k3_xboole_0(u1_struct_0(skc8),u1_struct_0(skc9)),skc9)
| r2_hidden(u,u1_struct_0(skc8)) ),
inference(res,[status(thm),theory(equality)],[28,98]),
[iquote('0:Res:28.0,98.3')] ).
cnf(1082,plain,
( ~ r2_hidden(k4_tarski(u,skc11),u1_orders_2(k1_latsum_1(skc8,skc9)))
| ~ v12_waybel_0(k3_xboole_0(u1_struct_0(skc8),u1_struct_0(skc9)),skc9)
| r2_hidden(u,u1_struct_0(skc8)) ),
inference(ssi,[status(thm)],[1081,1,66]),
[iquote('0:SSi:1081.0,1.0,66.0')] ).
cnf(1083,plain,
( ~ r2_hidden(k4_tarski(u,skc11),u1_orders_2(k1_latsum_1(skc8,skc9)))
| r2_hidden(u,u1_struct_0(skc8)) ),
inference(mrr,[status(thm)],[1082,21]),
[iquote('0:MRR:1082.1,21.0')] ).
cnf(1124,plain,
( ~ m1_subset_1(skc11,u1_struct_0(k1_latsum_1(skc8,skc9)))
| ~ r1_orders_2(k1_latsum_1(skc8,skc9),skc10,skc11)
| r2_hidden(skc10,u1_struct_0(skc8)) ),
inference(res,[status(thm),theory(equality)],[426,1083]),
[iquote('0:Res:426.2,1083.0')] ).
cnf(1126,plain,
$false,
inference(mrr,[status(thm)],[1124,15,17,11]),
[iquote('0:MRR:1124.0,1124.1,1124.2,15.0,17.0,11.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU413+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n029.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 Jun 19 21:05:45 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.38/0.57
% 0.38/0.57 SPASS V 3.9
% 0.38/0.57 SPASS beiseite: Proof found.
% 0.38/0.57 % SZS status Theorem
% 0.38/0.57 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.57 SPASS derived 802 clauses, backtracked 16 clauses, performed 1 splits and kept 449 clauses.
% 0.38/0.57 SPASS allocated 98915 KBytes.
% 0.38/0.57 SPASS spent 0:00:00.22 on the problem.
% 0.38/0.57 0:00:00.04 for the input.
% 0.38/0.57 0:00:00.03 for the FLOTTER CNF translation.
% 0.38/0.57 0:00:00.02 for inferences.
% 0.38/0.57 0:00:00.00 for the backtracking.
% 0.38/0.57 0:00:00.09 for the reduction.
% 0.38/0.57
% 0.38/0.57
% 0.38/0.57 Here is a proof with depth 3, length 26 :
% 0.38/0.57 % SZS output start Refutation
% See solution above
% 0.38/0.57 Formulae used in the proof : t23_latsum_1 dt_l1_orders_2 dt_k1_latsum_1 d9_orders_2 t21_latsum_1
% 0.38/0.57
%------------------------------------------------------------------------------