TSTP Solution File: SEU451+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU451+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 14:37:41 EDT 2022
% Result : Theorem 0.48s 0.66s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of clauses : 31 ( 9 unt; 0 nHn; 31 RR)
% Number of literals : 69 ( 0 equ; 49 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-6 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(26,axiom,
m2_relset_1(skc8,skc6,skc7),
file('SEU451+1.p',unknown),
[] ).
cnf(34,axiom,
m2_relset_1(k6_partfun1(u),u,u),
file('SEU451+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ m2_relset_1(u,v,w)
| m1_relset_1(u,v,w) ),
file('SEU451+1.p',unknown),
[] ).
cnf(62,axiom,
( ~ m2_relset_1(u,v,w)
| m1_subset_1(u,k1_zfmisc_1(k2_zfmisc_1(v,w))) ),
file('SEU451+1.p',unknown),
[] ).
cnf(65,axiom,
( ~ m2_relset_1(u,v,w)
| equal(k7_relset_1(v,v,v,w,k6_partfun1(v),u),u) ),
file('SEU451+1.p',unknown),
[] ).
cnf(66,axiom,
( ~ m2_relset_1(u,v,w)
| equal(k7_relset_1(v,w,w,w,u,k6_partfun1(w)),u) ),
file('SEU451+1.p',unknown),
[] ).
cnf(67,axiom,
~ equal(k9_relset_2(skc6,skc7,skc7,skc8,k6_partfun1(skc7)),k9_relset_2(skc6,skc6,skc7,k6_partfun1(skc6),skc8)),
file('SEU451+1.p',unknown),
[] ).
cnf(69,axiom,
( ~ m1_relset_1(u,v,w)
| ~ m1_relset_1(x,y,z)
| equal(k7_relset_1(y,z,v,w,x,u),k5_relat_1(x,u)) ),
file('SEU451+1.p',unknown),
[] ).
cnf(71,axiom,
( ~ m1_subset_1(u,k1_zfmisc_1(k2_zfmisc_1(v,w)))
| ~ m1_subset_1(x,k1_zfmisc_1(k2_zfmisc_1(y,v)))
| equal(k9_relset_2(y,v,w,x,u),k5_relat_1(x,u)) ),
file('SEU451+1.p',unknown),
[] ).
cnf(82,plain,
m1_subset_1(skc8,k1_zfmisc_1(k2_zfmisc_1(skc6,skc7))),
inference(res,[status(thm),theory(equality)],[26,62]),
[iquote('0:Res:26.0,62.0')] ).
cnf(323,plain,
( ~ m1_relset_1(u,v,w)
| ~ m1_relset_1(k6_partfun1(v),v,v)
| ~ m2_relset_1(u,v,w)
| equal(k5_relat_1(k6_partfun1(v),u),u) ),
inference(spr,[status(thm),theory(equality)],[69,65]),
[iquote('0:SpR:69.2,65.1')] ).
cnf(324,plain,
( ~ m1_relset_1(k6_partfun1(u),u,u)
| ~ m1_relset_1(v,w,u)
| ~ m2_relset_1(v,w,u)
| equal(k5_relat_1(v,k6_partfun1(u)),v) ),
inference(spr,[status(thm),theory(equality)],[69,66]),
[iquote('0:SpR:69.2,66.1')] ).
cnf(328,plain,
( ~ m1_relset_1(k6_partfun1(u),u,u)
| ~ m2_relset_1(v,w,u)
| equal(k5_relat_1(v,k6_partfun1(u)),v) ),
inference(mrr,[status(thm)],[324,52]),
[iquote('0:MRR:324.1,52.1')] ).
cnf(329,plain,
( ~ m1_relset_1(k6_partfun1(u),u,u)
| ~ m2_relset_1(v,u,w)
| equal(k5_relat_1(k6_partfun1(u),v),v) ),
inference(mrr,[status(thm)],[323,52]),
[iquote('0:MRR:323.0,52.1')] ).
cnf(342,plain,
( ~ m1_subset_1(k6_partfun1(skc7),k1_zfmisc_1(k2_zfmisc_1(skc7,skc7)))
| ~ m1_subset_1(skc8,k1_zfmisc_1(k2_zfmisc_1(skc6,skc7)))
| ~ equal(k9_relset_2(skc6,skc6,skc7,k6_partfun1(skc6),skc8),k5_relat_1(skc8,k6_partfun1(skc7))) ),
inference(spl,[status(thm),theory(equality)],[71,67]),
[iquote('0:SpL:71.2,67.0')] ).
cnf(343,plain,
( ~ m1_subset_1(k6_partfun1(skc7),k1_zfmisc_1(k2_zfmisc_1(skc7,skc7)))
| ~ equal(k9_relset_2(skc6,skc6,skc7,k6_partfun1(skc6),skc8),k5_relat_1(skc8,k6_partfun1(skc7))) ),
inference(mrr,[status(thm)],[342,82]),
[iquote('0:MRR:342.1,82.0')] ).
cnf(707,plain,
( ~ m2_relset_1(k6_partfun1(u),u,u)
| ~ m2_relset_1(v,w,u)
| equal(k5_relat_1(v,k6_partfun1(u)),v) ),
inference(res,[status(thm),theory(equality)],[52,328]),
[iquote('0:Res:52.1,328.0')] ).
cnf(708,plain,
( ~ m2_relset_1(u,v,w)
| equal(k5_relat_1(u,k6_partfun1(w)),u) ),
inference(mrr,[status(thm)],[707,34]),
[iquote('0:MRR:707.0,34.0')] ).
cnf(723,plain,
( ~ m2_relset_1(k6_partfun1(u),u,u)
| ~ m2_relset_1(v,u,w)
| equal(k5_relat_1(k6_partfun1(u),v),v) ),
inference(res,[status(thm),theory(equality)],[52,329]),
[iquote('0:Res:52.1,329.0')] ).
cnf(724,plain,
( ~ m2_relset_1(u,v,w)
| equal(k5_relat_1(k6_partfun1(v),u),u) ),
inference(mrr,[status(thm)],[723,34]),
[iquote('0:MRR:723.0,34.0')] ).
cnf(849,plain,
( ~ m1_subset_1(skc8,k1_zfmisc_1(k2_zfmisc_1(skc6,skc7)))
| ~ m1_subset_1(k6_partfun1(skc6),k1_zfmisc_1(k2_zfmisc_1(skc6,skc6)))
| ~ m1_subset_1(k6_partfun1(skc7),k1_zfmisc_1(k2_zfmisc_1(skc7,skc7)))
| ~ equal(k5_relat_1(k6_partfun1(skc6),skc8),k5_relat_1(skc8,k6_partfun1(skc7))) ),
inference(spl,[status(thm),theory(equality)],[71,343]),
[iquote('0:SpL:71.2,343.1')] ).
cnf(850,plain,
( ~ m1_subset_1(k6_partfun1(skc6),k1_zfmisc_1(k2_zfmisc_1(skc6,skc6)))
| ~ m1_subset_1(k6_partfun1(skc7),k1_zfmisc_1(k2_zfmisc_1(skc7,skc7)))
| ~ equal(k5_relat_1(k6_partfun1(skc6),skc8),k5_relat_1(skc8,k6_partfun1(skc7))) ),
inference(mrr,[status(thm)],[849,82]),
[iquote('0:MRR:849.0,82.0')] ).
cnf(980,plain,
equal(k5_relat_1(skc8,k6_partfun1(skc7)),skc8),
inference(res,[status(thm),theory(equality)],[26,708]),
[iquote('0:Res:26.0,708.0')] ).
cnf(1018,plain,
( ~ m1_subset_1(k6_partfun1(skc6),k1_zfmisc_1(k2_zfmisc_1(skc6,skc6)))
| ~ m1_subset_1(k6_partfun1(skc7),k1_zfmisc_1(k2_zfmisc_1(skc7,skc7)))
| ~ equal(k5_relat_1(k6_partfun1(skc6),skc8),skc8) ),
inference(rew,[status(thm),theory(equality)],[980,850]),
[iquote('0:Rew:980.0,850.2')] ).
cnf(1051,plain,
equal(k5_relat_1(k6_partfun1(skc6),skc8),skc8),
inference(res,[status(thm),theory(equality)],[26,724]),
[iquote('0:Res:26.0,724.0')] ).
cnf(1088,plain,
( ~ m1_subset_1(k6_partfun1(skc6),k1_zfmisc_1(k2_zfmisc_1(skc6,skc6)))
| ~ m1_subset_1(k6_partfun1(skc7),k1_zfmisc_1(k2_zfmisc_1(skc7,skc7)))
| ~ equal(skc8,skc8) ),
inference(rew,[status(thm),theory(equality)],[1051,1018]),
[iquote('0:Rew:1051.0,1018.2')] ).
cnf(1097,plain,
( ~ m1_subset_1(k6_partfun1(skc6),k1_zfmisc_1(k2_zfmisc_1(skc6,skc6)))
| ~ m1_subset_1(k6_partfun1(skc7),k1_zfmisc_1(k2_zfmisc_1(skc7,skc7))) ),
inference(obv,[status(thm),theory(equality)],[1088]),
[iquote('0:Obv:1088.2')] ).
cnf(1858,plain,
( ~ m2_relset_1(k6_partfun1(skc7),skc7,skc7)
| ~ m1_subset_1(k6_partfun1(skc6),k1_zfmisc_1(k2_zfmisc_1(skc6,skc6))) ),
inference(res,[status(thm),theory(equality)],[62,1097]),
[iquote('0:Res:62.1,1097.1')] ).
cnf(1860,plain,
~ m1_subset_1(k6_partfun1(skc6),k1_zfmisc_1(k2_zfmisc_1(skc6,skc6))),
inference(mrr,[status(thm)],[1858,34]),
[iquote('0:MRR:1858.0,34.0')] ).
cnf(1866,plain,
~ m2_relset_1(k6_partfun1(skc6),skc6,skc6),
inference(res,[status(thm),theory(equality)],[62,1860]),
[iquote('0:Res:62.1,1860.0')] ).
cnf(1868,plain,
$false,
inference(mrr,[status(thm)],[1866,34]),
[iquote('0:MRR:1866.0,34.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU451+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jun 19 15:20:55 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.48/0.66
% 0.48/0.66 SPASS V 3.9
% 0.48/0.66 SPASS beiseite: Proof found.
% 0.48/0.66 % SZS status Theorem
% 0.48/0.66 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.66 SPASS derived 1714 clauses, backtracked 0 clauses, performed 0 splits and kept 1050 clauses.
% 0.48/0.66 SPASS allocated 99410 KBytes.
% 0.48/0.66 SPASS spent 0:00:00.30 on the problem.
% 0.48/0.66 0:00:00.03 for the input.
% 0.48/0.66 0:00:00.03 for the FLOTTER CNF translation.
% 0.48/0.66 0:00:00.03 for inferences.
% 0.48/0.66 0:00:00.00 for the backtracking.
% 0.48/0.66 0:00:00.18 for the reduction.
% 0.48/0.66
% 0.48/0.66
% 0.48/0.66 Here is a proof with depth 4, length 31 :
% 0.48/0.66 % SZS output start Refutation
% See solution above
% 0.48/0.66 Formulae used in the proof : t65_relset_2 dt_k6_partfun1 redefinition_m2_relset_1 dt_m2_relset_1 t23_funct_2 redefinition_k7_relset_1 redefinition_k9_relset_2
% 0.48/0.66
%------------------------------------------------------------------------------