TSTP Solution File: TOP025+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : TOP025+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n032.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 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of clauses : 24 ( 11 unt; 7 nHn; 24 RR)
% Number of literals : 59 ( 0 equ; 33 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
v2_pre_topc(skc6),
file('TOP025+1.p',unknown),
[] ).
cnf(2,axiom,
l1_pre_topc(skc6),
file('TOP025+1.p',unknown),
[] ).
cnf(17,axiom,
~ v3_struct_0(skc6),
file('TOP025+1.p',unknown),
[] ).
cnf(18,axiom,
v1_tsp_2(skc7,skc6),
file('TOP025+1.p',unknown),
[] ).
cnf(25,axiom,
m1_subset_1(skc7,k1_zfmisc_1(u1_struct_0(skc6))),
file('TOP025+1.p',unknown),
[] ).
cnf(26,axiom,
v1_tex_2(skc7,k1_zfmisc_1(u1_struct_0(skc6))),
file('TOP025+1.p',unknown),
[] ).
cnf(39,axiom,
( v3_pre_topc(skc7,skc6)
| v4_pre_topc(skc7,skc6) ),
file('TOP025+1.p',unknown),
[] ).
cnf(118,axiom,
( ~ equal(u,v)
| ~ m1_subset_1(u,k1_zfmisc_1(v))
| ~ v1_tex_2(u,k1_zfmisc_1(v)) ),
file('TOP025+1.p',unknown),
[] ).
cnf(132,axiom,
( ~ l1_pre_topc(u)
| ~ v2_pre_topc(u)
| ~ v4_pre_topc(v,u)
| ~ m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u)))
| v3_struct_0(u)
| equal(k3_tex_4(u,v),v) ),
file('TOP025+1.p',unknown),
[] ).
cnf(133,axiom,
( ~ l1_pre_topc(u)
| ~ v2_pre_topc(u)
| ~ v3_pre_topc(v,u)
| ~ m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u)))
| v3_struct_0(u)
| equal(k3_tex_4(u,v),v) ),
file('TOP025+1.p',unknown),
[] ).
cnf(137,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('TOP025+1.p',unknown),
[] ).
cnf(236,plain,
( ~ equal(u1_struct_0(skc6),skc7)
| ~ m1_subset_1(skc7,k1_zfmisc_1(u1_struct_0(skc6))) ),
inference(res,[status(thm),theory(equality)],[26,118]),
[iquote('0:Res:26.0,118.0')] ).
cnf(269,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)],[25,137]),
[iquote('0:Res:25.0,137.3')] ).
cnf(272,plain,
( ~ v2_pre_topc(skc6)
| ~ l1_pre_topc(skc6)
| ~ v3_pre_topc(skc7,skc6)
| v3_struct_0(skc6)
| equal(k3_tex_4(skc6,skc7),skc7) ),
inference(res,[status(thm),theory(equality)],[25,133]),
[iquote('0:Res:25.0,133.2')] ).
cnf(273,plain,
( ~ v2_pre_topc(skc6)
| ~ l1_pre_topc(skc6)
| ~ v4_pre_topc(skc7,skc6)
| v3_struct_0(skc6)
| equal(k3_tex_4(skc6,skc7),skc7) ),
inference(res,[status(thm),theory(equality)],[25,132]),
[iquote('0:Res:25.0,132.2')] ).
cnf(315,plain,
~ equal(u1_struct_0(skc6),skc7),
inference(mrr,[status(thm)],[236,25]),
[iquote('0:MRR:236.1,25.0')] ).
cnf(335,plain,
( ~ v3_pre_topc(skc7,skc6)
| equal(k3_tex_4(skc6,skc7),skc7) ),
inference(mrr,[status(thm)],[272,1,2,17]),
[iquote('0:MRR:272.0,272.1,272.3,1.0,2.0,17.0')] ).
cnf(336,plain,
( ~ v4_pre_topc(skc7,skc6)
| equal(k3_tex_4(skc6,skc7),skc7) ),
inference(mrr,[status(thm)],[273,1,2,17]),
[iquote('0:MRR:273.0,273.1,273.3,1.0,2.0,17.0')] ).
cnf(338,plain,
equal(k3_tex_4(skc6,skc7),u1_struct_0(skc6)),
inference(mrr,[status(thm)],[269,1,2,18,17]),
[iquote('0:MRR:269.0,269.1,269.2,269.4,1.0,2.0,18.0,17.0')] ).
cnf(340,plain,
( ~ v4_pre_topc(skc7,skc6)
| equal(u1_struct_0(skc6),skc7) ),
inference(rew,[status(thm),theory(equality)],[338,336]),
[iquote('0:Rew:338.0,336.1')] ).
cnf(341,plain,
( ~ v3_pre_topc(skc7,skc6)
| equal(u1_struct_0(skc6),skc7) ),
inference(rew,[status(thm),theory(equality)],[338,335]),
[iquote('0:Rew:338.0,335.1')] ).
cnf(342,plain,
~ v4_pre_topc(skc7,skc6),
inference(mrr,[status(thm)],[340,315]),
[iquote('0:MRR:340.1,315.0')] ).
cnf(343,plain,
v3_pre_topc(skc7,skc6),
inference(mrr,[status(thm)],[39,342]),
[iquote('0:MRR:39.1,342.0')] ).
cnf(352,plain,
$false,
inference(mrr,[status(thm)],[341,343,315]),
[iquote('0:MRR:341.0,341.1,343.0,315.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : TOP025+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.10 % Command : run_spass %d %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Sun May 29 04:03:26 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.14/0.39
% 0.14/0.39 SPASS V 3.9
% 0.14/0.39 SPASS beiseite: Proof found.
% 0.14/0.39 % SZS status Theorem
% 0.14/0.39 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.39 SPASS derived 165 clauses, backtracked 0 clauses, performed 0 splits and kept 232 clauses.
% 0.14/0.39 SPASS allocated 97914 KBytes.
% 0.14/0.39 SPASS spent 0:00:00.09 on the problem.
% 0.14/0.39 0:00:00.03 for the input.
% 0.14/0.39 0:00:00.03 for the FLOTTER CNF translation.
% 0.14/0.39 0:00:00.00 for inferences.
% 0.14/0.39 0:00:00.00 for the backtracking.
% 0.14/0.39 0:00:00.00 for the reduction.
% 0.14/0.39
% 0.14/0.39
% 0.14/0.39 Here is a proof with depth 1, length 24 :
% 0.14/0.39 % SZS output start Refutation
% See solution above
% 0.14/0.39 Formulae used in the proof : t3_tsp_2 t5_tex_2 t62_tex_4 t58_tex_4 d5_tsp_2
% 0.14/0.39
%------------------------------------------------------------------------------