TSTP Solution File: TOP028+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : TOP028+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.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 21:34:59 EDT 2022
% Result : Theorem 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 17
% Syntax : Number of clauses : 30 ( 17 unt; 6 nHn; 30 RR)
% Number of literals : 64 ( 0 equ; 35 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
v2_pre_topc(skc5),
file('TOP028+1.p',unknown),
[] ).
cnf(2,axiom,
l1_pre_topc(skc5),
file('TOP028+1.p',unknown),
[] ).
cnf(5,axiom,
v1_xboole_0(k1_xboole_0),
file('TOP028+1.p',unknown),
[] ).
cnf(6,axiom,
v1_membered(k1_xboole_0),
file('TOP028+1.p',unknown),
[] ).
cnf(7,axiom,
v2_membered(k1_xboole_0),
file('TOP028+1.p',unknown),
[] ).
cnf(8,axiom,
v3_membered(k1_xboole_0),
file('TOP028+1.p',unknown),
[] ).
cnf(9,axiom,
v4_membered(k1_xboole_0),
file('TOP028+1.p',unknown),
[] ).
cnf(10,axiom,
v5_membered(k1_xboole_0),
file('TOP028+1.p',unknown),
[] ).
cnf(17,axiom,
~ v3_struct_0(skc5),
file('TOP028+1.p',unknown),
[] ).
cnf(19,axiom,
v1_xboole_0(skf15(u)),
file('TOP028+1.p',unknown),
[] ).
cnf(35,axiom,
m1_subset_1(skf15(u),k1_zfmisc_1(u)),
file('TOP028+1.p',unknown),
[] ).
cnf(57,axiom,
( ~ v1_xboole_0(u)
| equal(u,k1_xboole_0) ),
file('TOP028+1.p',unknown),
[] ).
cnf(61,axiom,
m1_subset_1(skf23(u,v),k1_zfmisc_1(u1_struct_0(v))),
file('TOP028+1.p',unknown),
[] ).
cnf(103,axiom,
( ~ v1_tsp_2(u,skc5)
| ~ m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc5))) ),
file('TOP028+1.p',unknown),
[] ).
cnf(141,axiom,
( ~ l1_pre_topc(u)
| ~ v3_tex_2(v,u)
| ~ m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u)))
| v3_struct_0(u)
| v1_tsp_1(v,u) ),
file('TOP028+1.p',unknown),
[] ).
cnf(143,axiom,
( ~ v1_xboole_0(u)
| ~ l1_pre_topc(v)
| ~ v2_pre_topc(v)
| ~ m1_subset_1(u,k1_zfmisc_1(u1_struct_0(v)))
| v3_struct_0(v)
| v3_tex_2(u,v) ),
file('TOP028+1.p',unknown),
[] ).
cnf(150,axiom,
( ~ l1_pre_topc(u)
| ~ v2_pre_topc(u)
| ~ v1_tsp_1(v,u)
| ~ m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u)))
| v3_struct_0(u)
| v1_tsp_2(skf23(v,u),u) ),
file('TOP028+1.p',unknown),
[] ).
cnf(165,plain,
( ~ v2_pre_topc(skc5)
| ~ v1_xboole_0(u)
| ~ m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc5)))
| v3_struct_0(skc5)
| v3_tex_2(u,skc5) ),
inference(res,[status(thm),theory(equality)],[2,143]),
[iquote('0:Res:2.0,143.1')] ).
cnf(170,plain,
( ~ m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc5)))
| ~ v3_tex_2(u,skc5)
| v3_struct_0(skc5)
| v1_tsp_1(u,skc5) ),
inference(res,[status(thm),theory(equality)],[2,141]),
[iquote('0:Res:2.0,141.0')] ).
cnf(210,plain,
( ~ l1_pre_topc(skc5)
| ~ m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc5)))
| ~ v1_tsp_1(u,skc5)
| v1_tsp_2(skf23(u,skc5),skc5)
| v3_struct_0(skc5) ),
inference(res,[status(thm),theory(equality)],[1,150]),
[iquote('0:Res:1.0,150.0')] ).
cnf(271,plain,
~ v1_tsp_2(skf23(u,skc5),skc5),
inference(res,[status(thm),theory(equality)],[61,103]),
[iquote('0:Res:61.0,103.0')] ).
cnf(304,plain,
( ~ m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc5)))
| ~ v3_tex_2(u,skc5)
| v1_tsp_1(u,skc5) ),
inference(mrr,[status(thm)],[170,17]),
[iquote('0:MRR:170.2,17.0')] ).
cnf(306,plain,
( ~ v1_xboole_0(u)
| ~ m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc5)))
| v3_tex_2(u,skc5) ),
inference(mrr,[status(thm)],[165,1,17]),
[iquote('0:MRR:165.0,165.3,1.0,17.0')] ).
cnf(313,plain,
( ~ v1_tsp_1(u,skc5)
| ~ m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc5))) ),
inference(mrr,[status(thm)],[210,2,271,17]),
[iquote('0:MRR:210.0,210.3,210.4,2.0,271.0,17.0')] ).
cnf(314,plain,
( ~ v3_tex_2(u,skc5)
| ~ m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc5))) ),
inference(mrr,[status(thm)],[304,313]),
[iquote('0:MRR:304.2,313.1')] ).
cnf(315,plain,
( ~ v1_xboole_0(u)
| ~ m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc5))) ),
inference(mrr,[status(thm)],[306,314]),
[iquote('0:MRR:306.2,314.1')] ).
cnf(321,plain,
equal(skf15(u),k1_xboole_0),
inference(ems,[status(thm)],[57,19]),
[iquote('0:EmS:57.0,19.0')] ).
cnf(352,plain,
m1_subset_1(k1_xboole_0,k1_zfmisc_1(u)),
inference(rew,[status(thm),theory(equality)],[321,35]),
[iquote('0:Rew:321.0,35.0')] ).
cnf(413,plain,
~ v1_xboole_0(k1_xboole_0),
inference(res,[status(thm),theory(equality)],[352,315]),
[iquote('0:Res:352.0,315.1')] ).
cnf(424,plain,
$false,
inference(ssi,[status(thm)],[413,6,7,8,10,9,5]),
[iquote('0:SSi:413.0,6.0,7.0,8.0,10.0,9.0,5.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : TOP028+1 : TPTP v8.1.0. Released v3.4.0.
% 0.13/0.15 % Command : run_spass %d %s
% 0.15/0.36 % Computer : n020.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Sun May 29 03:43:54 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.21/0.50
% 0.21/0.50 SPASS V 3.9
% 0.21/0.50 SPASS beiseite: Proof found.
% 0.21/0.50 % SZS status Theorem
% 0.21/0.50 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.50 SPASS derived 225 clauses, backtracked 0 clauses, performed 0 splits and kept 250 clauses.
% 0.21/0.50 SPASS allocated 97946 KBytes.
% 0.21/0.50 SPASS spent 0:00:00.12 on the problem.
% 0.21/0.50 0:00:00.03 for the input.
% 0.21/0.50 0:00:00.04 for the FLOTTER CNF translation.
% 0.21/0.50 0:00:00.00 for inferences.
% 0.21/0.50 0:00:00.00 for the backtracking.
% 0.21/0.50 0:00:00.01 for the reduction.
% 0.21/0.50
% 0.21/0.50
% 0.21/0.50 Here is a proof with depth 2, length 30 :
% 0.21/0.50 % SZS output start Refutation
% See solution above
% 0.21/0.50 Formulae used in the proof : t10_tsp_2 fc6_membered rc2_subset_1 t6_boole t9_tsp_2 existence_m1_subset_1 t11_tsp_1 t35_tex_2
% 0.21/0.50
%------------------------------------------------------------------------------