TSTP Solution File: SEU376+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU376+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n004.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 14:36:45 EDT 2022
% Result : Theorem 1.01s 1.20s
% Output : Refutation 1.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of clauses : 33 ( 13 unt; 8 nHn; 33 RR)
% Number of literals : 106 ( 0 equ; 65 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
one_sorted_str(skc14),
file('SEU376+1.p',unknown),
[] ).
cnf(3,axiom,
directed_relstr(skc15),
file('SEU376+1.p',unknown),
[] ).
cnf(31,axiom,
~ empty_carrier(skc15),
file('SEU376+1.p',unknown),
[] ).
cnf(32,axiom,
~ empty_carrier(skc14),
file('SEU376+1.p',unknown),
[] ).
cnf(33,axiom,
net_str(skc15,skc14),
file('SEU376+1.p',unknown),
[] ).
cnf(38,axiom,
is_eventually_in(skc14,skc15,skc16),
file('SEU376+1.p',unknown),
[] ).
cnf(41,axiom,
~ is_often_in(skc14,skc15,skc16),
file('SEU376+1.p',unknown),
[] ).
cnf(54,axiom,
element(skf14(u,v,w),the_carrier(w)),
file('SEU376+1.p',unknown),
[] ).
cnf(55,axiom,
element(skf17(u,v,w),the_carrier(w)),
file('SEU376+1.p',unknown),
[] ).
cnf(56,axiom,
element(skf18(u,v,w),the_carrier(w)),
file('SEU376+1.p',unknown),
[] ).
cnf(68,axiom,
( ~ one_sorted_str(u)
| ~ net_str(v,u)
| rel_str(v) ),
file('SEU376+1.p',unknown),
[] ).
cnf(89,axiom,
( ~ rel_str(u)
| ~ directed_relstr(u)
| ~ element(v,the_carrier(u))
| ~ element(w,the_carrier(u))
| empty_carrier(u)
| related(u,w,skf18(w,v,u)) ),
file('SEU376+1.p',unknown),
[] ).
cnf(90,axiom,
( ~ rel_str(u)
| ~ directed_relstr(u)
| ~ element(v,the_carrier(u))
| ~ element(w,the_carrier(u))
| empty_carrier(u)
| related(u,v,skf18(w,v,u)) ),
file('SEU376+1.p',unknown),
[] ).
cnf(96,axiom,
( ~ one_sorted_str(u)
| ~ net_str(v,u)
| ~ element(w,the_carrier(v))
| ~ in(apply_netmap(u,v,w),x)
| ~ related(v,skf17(x,u,v),w)
| empty_carrier(v)
| empty_carrier(u)
| is_often_in(u,v,x) ),
file('SEU376+1.p',unknown),
[] ).
cnf(97,axiom,
( ~ one_sorted_str(u)
| ~ net_str(v,u)
| ~ element(w,the_carrier(v))
| ~ is_eventually_in(u,v,x)
| ~ related(v,skf14(x,u,v),w)
| empty_carrier(v)
| empty_carrier(u)
| in(apply_netmap(u,v,w),x) ),
file('SEU376+1.p',unknown),
[] ).
cnf(102,plain,
( ~ rel_str(skc15)
| ~ element(u,the_carrier(skc15))
| ~ element(v,the_carrier(skc15))
| related(skc15,v,skf18(u,v,skc15))
| empty_carrier(skc15) ),
inference(res,[status(thm),theory(equality)],[3,90]),
[iquote('0:Res:3.0,90.0')] ).
cnf(103,plain,
( ~ rel_str(skc15)
| ~ element(u,the_carrier(skc15))
| ~ element(v,the_carrier(skc15))
| related(skc15,u,skf18(u,v,skc15))
| empty_carrier(skc15) ),
inference(res,[status(thm),theory(equality)],[3,89]),
[iquote('0:Res:3.0,89.0')] ).
cnf(125,plain,
( ~ one_sorted_str(skc14)
| ~ related(skc15,skf17(u,skc14,skc15),v)
| ~ in(apply_netmap(skc14,skc15,v),u)
| ~ element(v,the_carrier(skc15))
| is_often_in(skc14,skc15,u)
| empty_carrier(skc14)
| empty_carrier(skc15) ),
inference(res,[status(thm),theory(equality)],[33,96]),
[iquote('0:Res:33.0,96.4')] ).
cnf(133,plain,
( ~ one_sorted_str(skc14)
| rel_str(skc15) ),
inference(res,[status(thm),theory(equality)],[33,68]),
[iquote('0:Res:33.0,68.1')] ).
cnf(134,plain,
( ~ one_sorted_str(skc14)
| ~ element(u,the_carrier(skc15))
| ~ related(skc15,skf14(v,skc14,skc15),u)
| ~ is_eventually_in(skc14,skc15,v)
| in(apply_netmap(skc14,skc15,u),v)
| empty_carrier(skc14)
| empty_carrier(skc15) ),
inference(res,[status(thm),theory(equality)],[33,97]),
[iquote('0:Res:33.0,97.4')] ).
cnf(197,plain,
rel_str(skc15),
inference(mrr,[status(thm)],[133,1]),
[iquote('0:MRR:133.0,1.0')] ).
cnf(209,plain,
( ~ element(u,the_carrier(skc15))
| ~ element(v,the_carrier(skc15))
| related(skc15,v,skf18(v,u,skc15)) ),
inference(mrr,[status(thm)],[103,197,31]),
[iquote('0:MRR:103.0,103.4,197.0,31.0')] ).
cnf(210,plain,
( ~ element(u,the_carrier(skc15))
| ~ element(v,the_carrier(skc15))
| related(skc15,u,skf18(v,u,skc15)) ),
inference(mrr,[status(thm)],[102,197,31]),
[iquote('0:MRR:102.0,102.4,197.0,31.0')] ).
cnf(221,plain,
( ~ element(u,the_carrier(skc15))
| ~ is_eventually_in(skc14,skc15,v)
| ~ related(skc15,skf14(v,skc14,skc15),u)
| in(apply_netmap(skc14,skc15,u),v) ),
inference(mrr,[status(thm)],[134,1,32,31]),
[iquote('0:MRR:134.0,134.5,134.6,1.0,32.0,31.0')] ).
cnf(222,plain,
( ~ element(u,the_carrier(skc15))
| ~ in(apply_netmap(skc14,skc15,u),v)
| ~ related(skc15,skf17(v,skc14,skc15),u)
| is_often_in(skc14,skc15,v) ),
inference(mrr,[status(thm)],[125,1,32,31]),
[iquote('0:MRR:125.0,125.5,125.6,1.0,32.0,31.0')] ).
cnf(1289,plain,
( ~ element(skf17(u,skc14,skc15),the_carrier(skc15))
| ~ element(v,the_carrier(skc15))
| ~ element(skf18(v,skf17(u,skc14,skc15),skc15),the_carrier(skc15))
| ~ in(apply_netmap(skc14,skc15,skf18(v,skf17(u,skc14,skc15),skc15)),u)
| is_often_in(skc14,skc15,u) ),
inference(res,[status(thm),theory(equality)],[210,222]),
[iquote('0:Res:210.2,222.2')] ).
cnf(1293,plain,
( ~ element(u,the_carrier(skc15))
| ~ in(apply_netmap(skc14,skc15,skf18(u,skf17(v,skc14,skc15),skc15)),v)
| is_often_in(skc14,skc15,v) ),
inference(mrr,[status(thm)],[1289,55,56]),
[iquote('0:MRR:1289.0,1289.2,55.0,56.0')] ).
cnf(1313,plain,
( ~ element(u,the_carrier(skc15))
| ~ element(skf14(v,skc14,skc15),the_carrier(skc15))
| ~ element(skf18(skf14(v,skc14,skc15),u,skc15),the_carrier(skc15))
| ~ is_eventually_in(skc14,skc15,v)
| in(apply_netmap(skc14,skc15,skf18(skf14(v,skc14,skc15),u,skc15)),v) ),
inference(res,[status(thm),theory(equality)],[209,221]),
[iquote('0:Res:209.2,221.2')] ).
cnf(1314,plain,
( ~ element(u,the_carrier(skc15))
| ~ is_eventually_in(skc14,skc15,v)
| in(apply_netmap(skc14,skc15,skf18(skf14(v,skc14,skc15),u,skc15)),v) ),
inference(mrr,[status(thm)],[1313,54,56]),
[iquote('0:MRR:1313.1,1313.2,54.0,56.0')] ).
cnf(3254,plain,
( ~ element(skf17(u,skc14,skc15),the_carrier(skc15))
| ~ is_eventually_in(skc14,skc15,u)
| ~ element(skf14(u,skc14,skc15),the_carrier(skc15))
| is_often_in(skc14,skc15,u) ),
inference(res,[status(thm),theory(equality)],[1314,1293]),
[iquote('0:Res:1314.2,1293.1')] ).
cnf(3256,plain,
( ~ is_eventually_in(skc14,skc15,u)
| is_often_in(skc14,skc15,u) ),
inference(mrr,[status(thm)],[3254,55,54]),
[iquote('0:MRR:3254.0,3254.2,55.0,54.0')] ).
cnf(3257,plain,
~ is_eventually_in(skc14,skc15,skc16),
inference(res,[status(thm),theory(equality)],[3256,41]),
[iquote('0:Res:3256.1,41.0')] ).
cnf(3263,plain,
$false,
inference(mrr,[status(thm)],[3257,38]),
[iquote('0:MRR:3257.0,38.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU376+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 20 10:01:08 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.01/1.20
% 1.01/1.20 SPASS V 3.9
% 1.01/1.20 SPASS beiseite: Proof found.
% 1.01/1.20 % SZS status Theorem
% 1.01/1.20 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.01/1.20 SPASS derived 2775 clauses, backtracked 0 clauses, performed 0 splits and kept 1558 clauses.
% 1.01/1.20 SPASS allocated 101467 KBytes.
% 1.01/1.20 SPASS spent 0:00:00.82 on the problem.
% 1.01/1.20 0:00:00.03 for the input.
% 1.01/1.20 0:00:00.04 for the FLOTTER CNF translation.
% 1.01/1.20 0:00:00.07 for inferences.
% 1.01/1.20 0:00:00.00 for the backtracking.
% 1.01/1.20 0:00:00.60 for the reduction.
% 1.01/1.20
% 1.01/1.20
% 1.01/1.20 Here is a proof with depth 4, length 33 :
% 1.01/1.20 % SZS output start Refutation
% See solution above
% 1.01/1.20 Formulae used in the proof : t28_yellow_6 d11_waybel_0 existence_m1_subset_1 d12_waybel_0 d5_yellow_6 dt_l1_waybel_0
% 1.01/1.20
%------------------------------------------------------------------------------