TSTP Solution File: TOP024+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : TOP024+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 : Thu Jul 21 21:34:58 EDT 2022
% Result : Theorem 0.45s 0.66s
% Output : Refutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of clauses : 34 ( 17 unt; 6 nHn; 34 RR)
% Number of literals : 74 ( 0 equ; 40 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
v2_pre_topc(skc6),
file('TOP024+1.p',unknown),
[] ).
cnf(2,axiom,
l1_pre_topc(skc6),
file('TOP024+1.p',unknown),
[] ).
cnf(17,axiom,
~ v3_struct_0(skc6),
file('TOP024+1.p',unknown),
[] ).
cnf(18,axiom,
v1_tsp_2(skc7,skc6),
file('TOP024+1.p',unknown),
[] ).
cnf(23,axiom,
~ v1_tops_1(skc7,skc6),
file('TOP024+1.p',unknown),
[] ).
cnf(26,axiom,
m1_subset_1(skc7,k1_zfmisc_1(u1_struct_0(skc6))),
file('TOP024+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ l1_pre_topc(u)
| l1_struct_0(u) ),
file('TOP024+1.p',unknown),
[] ).
cnf(60,axiom,
( ~ l1_struct_0(u)
| equal(u1_struct_0(u),k2_pre_topc(u)) ),
file('TOP024+1.p',unknown),
[] ).
cnf(107,axiom,
( ~ l1_pre_topc(u)
| ~ v2_pre_topc(u)
| v4_pre_topc(k2_pre_topc(u),u) ),
file('TOP024+1.p',unknown),
[] ).
cnf(129,axiom,
( ~ l1_pre_topc(u)
| ~ m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u)))
| v3_struct_0(u)
| m1_subset_1(k3_tex_4(u,v),k1_zfmisc_1(u1_struct_0(u))) ),
file('TOP024+1.p',unknown),
[] ).
cnf(130,axiom,
( ~ l1_pre_topc(u)
| ~ v4_pre_topc(v,u)
| ~ m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u)))
| equal(k6_pre_topc(u,v),v) ),
file('TOP024+1.p',unknown),
[] ).
cnf(133,axiom,
( ~ l1_pre_topc(u)
| ~ m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u)))
| ~ equal(k6_pre_topc(u,v),u1_struct_0(u))
| v1_tops_1(v,u) ),
file('TOP024+1.p',unknown),
[] ).
cnf(142,axiom,
( ~ l1_pre_topc(u)
| ~ v2_pre_topc(u)
| ~ m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u)))
| v3_struct_0(u)
| equal(k6_pre_topc(u,k3_tex_4(u,v)),k6_pre_topc(u,v)) ),
file('TOP024+1.p',unknown),
[] ).
cnf(146,axiom,
( ~ l1_pre_topc(u)
| ~ v2_pre_topc(u)
| ~ v1_tsp_2(v,u)
| ~ m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u)))
| v3_struct_0(u)
| equal(k3_tex_4(u,v),u1_struct_0(u)) ),
file('TOP024+1.p',unknown),
[] ).
cnf(180,plain,
( ~ v2_pre_topc(skc6)
| v4_pre_topc(k2_pre_topc(skc6),skc6) ),
inference(res,[status(thm),theory(equality)],[2,107]),
[iquote('0:Res:2.0,107.1')] ).
cnf(203,plain,
l1_struct_0(skc6),
inference(res,[status(thm),theory(equality)],[2,36]),
[iquote('0:Res:2.0,36.0')] ).
cnf(290,plain,
( ~ v2_pre_topc(skc6)
| ~ l1_pre_topc(skc6)
| ~ v1_tsp_2(skc7,skc6)
| equal(k3_tex_4(skc6,skc7),u1_struct_0(skc6))
| v3_struct_0(skc6) ),
inference(res,[status(thm),theory(equality)],[26,146]),
[iquote('0:Res:26.0,146.3')] ).
cnf(293,plain,
( ~ v2_pre_topc(skc6)
| ~ l1_pre_topc(skc6)
| v3_struct_0(skc6)
| equal(k6_pre_topc(skc6,k3_tex_4(skc6,skc7)),k6_pre_topc(skc6,skc7)) ),
inference(res,[status(thm),theory(equality)],[26,142]),
[iquote('0:Res:26.0,142.2')] ).
cnf(304,plain,
( ~ l1_pre_topc(skc6)
| ~ equal(k6_pre_topc(skc6,skc7),u1_struct_0(skc6))
| v1_tops_1(skc7,skc6) ),
inference(res,[status(thm),theory(equality)],[26,133]),
[iquote('0:Res:26.0,133.2')] ).
cnf(308,plain,
( ~ l1_pre_topc(skc6)
| m1_subset_1(k3_tex_4(skc6,skc7),k1_zfmisc_1(u1_struct_0(skc6)))
| v3_struct_0(skc6) ),
inference(res,[status(thm),theory(equality)],[26,129]),
[iquote('0:Res:26.0,129.1')] ).
cnf(323,plain,
v4_pre_topc(k2_pre_topc(skc6),skc6),
inference(mrr,[status(thm)],[180,1]),
[iquote('0:MRR:180.0,1.0')] ).
cnf(346,plain,
m1_subset_1(k3_tex_4(skc6,skc7),k1_zfmisc_1(u1_struct_0(skc6))),
inference(mrr,[status(thm)],[308,2,17]),
[iquote('0:MRR:308.0,308.2,2.0,17.0')] ).
cnf(349,plain,
~ equal(k6_pre_topc(skc6,skc7),u1_struct_0(skc6)),
inference(mrr,[status(thm)],[304,2,23]),
[iquote('0:MRR:304.0,304.2,2.0,23.0')] ).
cnf(366,plain,
equal(k6_pre_topc(skc6,k3_tex_4(skc6,skc7)),k6_pre_topc(skc6,skc7)),
inference(mrr,[status(thm)],[293,1,2,17]),
[iquote('0:MRR:293.0,293.1,293.2,1.0,2.0,17.0')] ).
cnf(369,plain,
equal(k3_tex_4(skc6,skc7),u1_struct_0(skc6)),
inference(mrr,[status(thm)],[290,1,2,18,17]),
[iquote('0:MRR:290.0,290.1,290.2,290.4,1.0,2.0,18.0,17.0')] ).
cnf(370,plain,
m1_subset_1(u1_struct_0(skc6),k1_zfmisc_1(u1_struct_0(skc6))),
inference(rew,[status(thm),theory(equality)],[369,346]),
[iquote('0:Rew:369.0,346.0')] ).
cnf(371,plain,
equal(k6_pre_topc(skc6,u1_struct_0(skc6)),k6_pre_topc(skc6,skc7)),
inference(rew,[status(thm),theory(equality)],[369,366]),
[iquote('0:Rew:369.0,366.0')] ).
cnf(1877,plain,
( ~ l1_pre_topc(skc6)
| ~ v4_pre_topc(u1_struct_0(skc6),skc6)
| equal(k6_pre_topc(skc6,u1_struct_0(skc6)),u1_struct_0(skc6)) ),
inference(res,[status(thm),theory(equality)],[370,130]),
[iquote('0:Res:370.0,130.2')] ).
cnf(1892,plain,
( ~ l1_pre_topc(skc6)
| ~ v4_pre_topc(u1_struct_0(skc6),skc6)
| equal(k6_pre_topc(skc6,skc7),u1_struct_0(skc6)) ),
inference(rew,[status(thm),theory(equality)],[371,1877]),
[iquote('0:Rew:371.0,1877.2')] ).
cnf(1893,plain,
( ~ v4_pre_topc(u1_struct_0(skc6),skc6)
| equal(k6_pre_topc(skc6,skc7),u1_struct_0(skc6)) ),
inference(ssi,[status(thm)],[1892,1,2,203]),
[iquote('0:SSi:1892.0,1.0,2.0,203.0')] ).
cnf(1894,plain,
~ v4_pre_topc(u1_struct_0(skc6),skc6),
inference(mrr,[status(thm)],[1893,349]),
[iquote('0:MRR:1893.1,349.0')] ).
cnf(1902,plain,
( ~ l1_struct_0(skc6)
| ~ v4_pre_topc(k2_pre_topc(skc6),skc6) ),
inference(spl,[status(thm),theory(equality)],[60,1894]),
[iquote('0:SpL:60.1,1894.0')] ).
cnf(1903,plain,
~ v4_pre_topc(k2_pre_topc(skc6),skc6),
inference(ssi,[status(thm)],[1902,1,2,203]),
[iquote('0:SSi:1902.0,1.0,2.0,203.0')] ).
cnf(1904,plain,
$false,
inference(mrr,[status(thm)],[1903,323]),
[iquote('0:MRR:1903.0,323.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : TOP024+1 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n023.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
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun May 29 05:27:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.45/0.66
% 0.45/0.66 SPASS V 3.9
% 0.45/0.66 SPASS beiseite: Proof found.
% 0.45/0.66 % SZS status Theorem
% 0.45/0.66 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/0.66 SPASS derived 1643 clauses, backtracked 0 clauses, performed 0 splits and kept 1285 clauses.
% 0.45/0.66 SPASS allocated 98751 KBytes.
% 0.45/0.66 SPASS spent 0:00:00.30 on the problem.
% 0.45/0.66 0:00:00.04 for the input.
% 0.45/0.66 0:00:00.04 for the FLOTTER CNF translation.
% 0.45/0.66 0:00:00.02 for inferences.
% 0.45/0.66 0:00:00.00 for the backtracking.
% 0.45/0.66 0:00:00.15 for the reduction.
% 0.45/0.66
% 0.45/0.66
% 0.45/0.66 Here is a proof with depth 3, length 34 :
% 0.45/0.66 % SZS output start Refutation
% See solution above
% 0.45/0.66 Formulae used in the proof : t2_tsp_2 dt_l1_pre_topc t12_pre_topc fc8_tops_1 dt_k3_tex_4 t52_pre_topc d2_tops_3 t64_tex_4 d5_tsp_2
% 0.45/0.66
%------------------------------------------------------------------------------