%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : TOP027+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 0.65s 0.81s
% Output : Refutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of clauses : 24 ( 12 unt; 2 nHn; 24 RR)
% Number of literals : 68 ( 0 equ; 46 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
v2_pre_topc(skc7),
file('TOP027+1.p',unknown),
[] ).
cnf(2,axiom,
l1_pre_topc(skc7),
file('TOP027+1.p',unknown),
[] ).
cnf(17,axiom,
~ v3_struct_0(skc7),
file('TOP027+1.p',unknown),
[] ).
cnf(18,axiom,
v1_tsp_2(skc8,skc7),
file('TOP027+1.p',unknown),
[] ).
cnf(25,axiom,
m1_subset_1(skc9,k1_zfmisc_1(u1_struct_0(skc7))),
file('TOP027+1.p',unknown),
[] ).
cnf(26,axiom,
m1_subset_1(skc8,k1_zfmisc_1(u1_struct_0(skc7))),
file('TOP027+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ l1_pre_topc(u)
| l1_struct_0(u) ),
file('TOP027+1.p',unknown),
[] ).
cnf(150,axiom,
~ equal(k3_tex_4(skc7,k5_subset_1(u1_struct_0(skc7),skc8,k1_tops_1(skc7,skc9))),k1_tops_1(skc7,skc9)),
file('TOP027+1.p',unknown),
[] ).
cnf(152,axiom,
( ~ l1_pre_topc(u)
| ~ m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u)))
| m1_subset_1(k1_tops_1(u,v),k1_zfmisc_1(u1_struct_0(u))) ),
file('TOP027+1.p',unknown),
[] ).
cnf(160,axiom,
( ~ v2_pre_topc(u)
| ~ l1_pre_topc(u)
| ~ m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u)))
| v3_pre_topc(k1_tops_1(u,v),u) ),
file('TOP027+1.p',unknown),
[] ).
cnf(165,axiom,
( ~ m1_subset_1(u,k1_zfmisc_1(v))
| ~ m1_subset_1(w,k1_zfmisc_1(v))
| equal(k5_subset_1(v,w,u),k3_xboole_0(w,u)) ),
file('TOP027+1.p',unknown),
[] ).
cnf(178,axiom,
( ~ v2_pre_topc(u)
| ~ l1_pre_topc(u)
| ~ m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u)))
| ~ v1_tsp_2(v,u)
| ~ m1_subset_1(w,k1_zfmisc_1(u1_struct_0(u)))
| ~ v3_pre_topc(w,u)
| v3_struct_0(u)
| equal(k3_tex_4(u,k5_subset_1(u1_struct_0(u),v,w)),w) ),
file('TOP027+1.p',unknown),
[] ).
cnf(181,plain,
( ~ l1_pre_topc(u)
| ~ v2_pre_topc(u)
| ~ v3_pre_topc(v,u)
| ~ v1_tsp_2(w,u)
| ~ m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u)))
| ~ m1_subset_1(w,k1_zfmisc_1(u1_struct_0(u)))
| v3_struct_0(u)
| equal(k3_tex_4(u,k3_xboole_0(w,v)),v) ),
inference(rew,[status(thm),theory(equality)],[165,178]),
[iquote('0:Rew:165.2,178.7')] ).
cnf(232,plain,
l1_struct_0(skc7),
inference(res,[status(thm),theory(equality)],[2,40]),
[iquote('0:Res:2.0,40.0')] ).
cnf(392,plain,
( ~ l1_pre_topc(skc7)
| ~ v2_pre_topc(skc7)
| v3_pre_topc(k1_tops_1(skc7,skc9),skc7) ),
inference(res,[status(thm),theory(equality)],[25,160]),
[iquote('0:Res:25.0,160.2')] ).
cnf(393,plain,
( ~ l1_pre_topc(skc7)
| m1_subset_1(k1_tops_1(skc7,skc9),k1_zfmisc_1(u1_struct_0(skc7))) ),
inference(res,[status(thm),theory(equality)],[25,152]),
[iquote('0:Res:25.0,152.1')] ).
cnf(430,plain,
m1_subset_1(k1_tops_1(skc7,skc9),k1_zfmisc_1(u1_struct_0(skc7))),
inference(mrr,[status(thm)],[393,2]),
[iquote('0:MRR:393.0,2.0')] ).
cnf(444,plain,
v3_pre_topc(k1_tops_1(skc7,skc9),skc7),
inference(mrr,[status(thm)],[392,2,1]),
[iquote('0:MRR:392.0,392.1,2.0,1.0')] ).
cnf(2315,plain,
( ~ m1_subset_1(k1_tops_1(skc7,skc9),k1_zfmisc_1(u1_struct_0(skc7)))
| ~ m1_subset_1(skc8,k1_zfmisc_1(u1_struct_0(skc7)))
| ~ equal(k3_tex_4(skc7,k3_xboole_0(skc8,k1_tops_1(skc7,skc9))),k1_tops_1(skc7,skc9)) ),
inference(spl,[status(thm),theory(equality)],[165,150]),
[iquote('0:SpL:165.2,150.0')] ).
cnf(2319,plain,
~ equal(k3_tex_4(skc7,k3_xboole_0(skc8,k1_tops_1(skc7,skc9))),k1_tops_1(skc7,skc9)),
inference(mrr,[status(thm)],[2315,430,26]),
[iquote('0:MRR:2315.0,2315.1,430.0,26.0')] ).
cnf(3800,plain,
( ~ l1_pre_topc(skc7)
| ~ v2_pre_topc(skc7)
| ~ v3_pre_topc(k1_tops_1(skc7,skc9),skc7)
| ~ v1_tsp_2(skc8,skc7)
| ~ m1_subset_1(k1_tops_1(skc7,skc9),k1_zfmisc_1(u1_struct_0(skc7)))
| ~ m1_subset_1(skc8,k1_zfmisc_1(u1_struct_0(skc7)))
| ~ equal(k1_tops_1(skc7,skc9),k1_tops_1(skc7,skc9))
| v3_struct_0(skc7) ),
inference(spl,[status(thm),theory(equality)],[181,2319]),
[iquote('0:SpL:181.7,2319.0')] ).
cnf(3802,plain,
( ~ l1_pre_topc(skc7)
| ~ v2_pre_topc(skc7)
| ~ v3_pre_topc(k1_tops_1(skc7,skc9),skc7)
| ~ v1_tsp_2(skc8,skc7)
| ~ m1_subset_1(k1_tops_1(skc7,skc9),k1_zfmisc_1(u1_struct_0(skc7)))
| ~ m1_subset_1(skc8,k1_zfmisc_1(u1_struct_0(skc7)))
| v3_struct_0(skc7) ),
inference(obv,[status(thm),theory(equality)],[3800]),
[iquote('0:Obv:3800.6')] ).
cnf(3803,plain,
( ~ v3_pre_topc(k1_tops_1(skc7,skc9),skc7)
| ~ v1_tsp_2(skc8,skc7)
| ~ m1_subset_1(k1_tops_1(skc7,skc9),k1_zfmisc_1(u1_struct_0(skc7)))
| ~ m1_subset_1(skc8,k1_zfmisc_1(u1_struct_0(skc7)))
| v3_struct_0(skc7) ),
inference(ssi,[status(thm)],[3802,1,2,232]),
[iquote('0:SSi:3802.1,3802.0,1.0,2.0,232.0,1.0,2.0,232.0')] ).
cnf(3804,plain,
$false,
inference(mrr,[status(thm)],[3803,444,18,430,26,17]),
[iquote('0:MRR:3803.0,3803.1,3803.2,3803.3,3803.4,444.0,18.0,430.0,26.0,17.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : TOP027+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n027.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 May 29 07:53:15 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.65/0.81
% 0.65/0.81 SPASS V 3.9
% 0.65/0.81 SPASS beiseite: Proof found.
% 0.65/0.81 % SZS status Theorem
% 0.65/0.81 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.65/0.81 SPASS derived 3300 clauses, backtracked 0 clauses, performed 0 splits and kept 1607 clauses.
% 0.65/0.81 SPASS allocated 99857 KBytes.
% 0.65/0.81 SPASS spent 0:00:00.46 on the problem.
% 0.65/0.81 0:00:00.04 for the input.
% 0.65/0.81 0:00:00.04 for the FLOTTER CNF translation.
% 0.65/0.81 0:00:00.03 for inferences.
% 0.65/0.81 0:00:00.00 for the backtracking.
% 0.65/0.81 0:00:00.27 for the reduction.
% 0.65/0.81
% 0.65/0.81
% 0.65/0.81 Here is a proof with depth 2, length 24 :
% 0.65/0.81 % SZS output start Refutation
% See solution above
% 0.65/0.81 Formulae used in the proof : t8_tsp_2 dt_l1_pre_topc dt_k1_tops_1 fc6_tops_1 redefinition_k5_subset_1 t6_tsp_2
% 0.65/0.81
%------------------------------------------------------------------------------