TSTP Solution File: LAT292+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LAT292+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n021.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 : Sun Jul 17 06:50:14 EDT 2022
% Result : Theorem 0.20s 0.59s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of clauses : 27 ( 12 unt; 12 nHn; 27 RR)
% Number of literals : 88 ( 0 equ; 42 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
v10_lattices(skc19),
file('LAT292+1.p',unknown),
[] ).
cnf(2,axiom,
v17_lattices(skc19),
file('LAT292+1.p',unknown),
[] ).
cnf(3,axiom,
l3_lattices(skc19),
file('LAT292+1.p',unknown),
[] ).
cnf(108,axiom,
~ v3_struct_0(skc19),
file('LAT292+1.p',unknown),
[] ).
cnf(109,axiom,
~ v3_realset2(skc19),
file('LAT292+1.p',unknown),
[] ).
cnf(243,axiom,
( ~ l1_pre_topc(u)
| ~ v2_pre_topc(u)
| ~ r1_filter_1(skc19,k6_lopclset(u))
| v3_struct_0(u) ),
file('LAT292+1.p',unknown),
[] ).
cnf(265,axiom,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| v3_realset2(u)
| v3_struct_0(u)
| l1_pre_topc(k11_lopclset(u)) ),
file('LAT292+1.p',unknown),
[] ).
cnf(268,axiom,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| v3_realset2(u)
| v3_struct_0(u)
| v1_pre_topc(k11_lopclset(u)) ),
file('LAT292+1.p',unknown),
[] ).
cnf(269,axiom,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| v3_realset2(u)
| v3_struct_0(u)
| v2_pre_topc(k11_lopclset(u)) ),
file('LAT292+1.p',unknown),
[] ).
cnf(272,axiom,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| ~ v3_struct_0(k11_lopclset(u))
| v3_realset2(u)
| v3_struct_0(u) ),
file('LAT292+1.p',unknown),
[] ).
cnf(275,axiom,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| v3_realset2(u)
| v3_struct_0(u)
| r1_filter_1(u,k12_lopclset(u)) ),
file('LAT292+1.p',unknown),
[] ).
cnf(282,axiom,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| v3_realset2(u)
| v3_struct_0(u)
| equal(k6_lopclset(k11_lopclset(u)),k12_lopclset(u)) ),
file('LAT292+1.p',unknown),
[] ).
cnf(301,plain,
( ~ v10_lattices(skc19)
| ~ v17_lattices(skc19)
| v3_struct_0(skc19)
| v3_realset2(skc19)
| equal(k6_lopclset(k11_lopclset(skc19)),k12_lopclset(skc19)) ),
inference(res,[status(thm),theory(equality)],[3,282]),
[iquote('0:Res:3.0,282.2')] ).
cnf(303,plain,
( ~ v10_lattices(skc19)
| ~ v17_lattices(skc19)
| ~ v3_struct_0(k11_lopclset(skc19))
| v3_struct_0(skc19)
| v3_realset2(skc19) ),
inference(res,[status(thm),theory(equality)],[3,272]),
[iquote('0:Res:3.0,272.2')] ).
cnf(304,plain,
( ~ v10_lattices(skc19)
| ~ v17_lattices(skc19)
| v3_struct_0(skc19)
| v3_realset2(skc19)
| r1_filter_1(skc19,k12_lopclset(skc19)) ),
inference(res,[status(thm),theory(equality)],[3,275]),
[iquote('0:Res:3.0,275.2')] ).
cnf(306,plain,
( ~ v10_lattices(skc19)
| ~ v17_lattices(skc19)
| l1_pre_topc(k11_lopclset(skc19))
| v3_struct_0(skc19)
| v3_realset2(skc19) ),
inference(res,[status(thm),theory(equality)],[3,265]),
[iquote('0:Res:3.0,265.2')] ).
cnf(309,plain,
( ~ v10_lattices(skc19)
| ~ v17_lattices(skc19)
| v1_pre_topc(k11_lopclset(skc19))
| v3_struct_0(skc19)
| v3_realset2(skc19) ),
inference(res,[status(thm),theory(equality)],[3,268]),
[iquote('0:Res:3.0,268.2')] ).
cnf(310,plain,
( ~ v10_lattices(skc19)
| ~ v17_lattices(skc19)
| v2_pre_topc(k11_lopclset(skc19))
| v3_struct_0(skc19)
| v3_realset2(skc19) ),
inference(res,[status(thm),theory(equality)],[3,269]),
[iquote('0:Res:3.0,269.2')] ).
cnf(454,plain,
l1_pre_topc(k11_lopclset(skc19)),
inference(mrr,[status(thm)],[306,1,2,108,109]),
[iquote('0:MRR:306.0,306.1,306.3,306.4,1.0,2.0,108.0,109.0')] ).
cnf(457,plain,
v1_pre_topc(k11_lopclset(skc19)),
inference(mrr,[status(thm)],[309,1,2,108,109]),
[iquote('0:MRR:309.0,309.1,309.3,309.4,1.0,2.0,108.0,109.0')] ).
cnf(458,plain,
v2_pre_topc(k11_lopclset(skc19)),
inference(mrr,[status(thm)],[310,1,2,108,109]),
[iquote('0:MRR:310.0,310.1,310.3,310.4,1.0,2.0,108.0,109.0')] ).
cnf(460,plain,
~ v3_struct_0(k11_lopclset(skc19)),
inference(mrr,[status(thm)],[303,1,2,108,109]),
[iquote('0:MRR:303.0,303.1,303.3,303.4,1.0,2.0,108.0,109.0')] ).
cnf(461,plain,
r1_filter_1(skc19,k12_lopclset(skc19)),
inference(mrr,[status(thm)],[304,1,2,108,109]),
[iquote('0:MRR:304.0,304.1,304.2,304.3,1.0,2.0,108.0,109.0')] ).
cnf(462,plain,
equal(k6_lopclset(k11_lopclset(skc19)),k12_lopclset(skc19)),
inference(mrr,[status(thm)],[301,1,2,108,109]),
[iquote('0:MRR:301.0,301.1,301.2,301.3,1.0,2.0,108.0,109.0')] ).
cnf(1301,plain,
( ~ l1_pre_topc(k11_lopclset(skc19))
| ~ v2_pre_topc(k11_lopclset(skc19))
| ~ r1_filter_1(skc19,k12_lopclset(skc19))
| v3_struct_0(k11_lopclset(skc19)) ),
inference(spl,[status(thm),theory(equality)],[462,243]),
[iquote('0:SpL:462.0,243.2')] ).
cnf(1302,plain,
( ~ r1_filter_1(skc19,k12_lopclset(skc19))
| v3_struct_0(k11_lopclset(skc19)) ),
inference(ssi,[status(thm)],[1301,457,458,454]),
[iquote('0:SSi:1301.1,1301.0,457.0,458.0,454.0,457.0,458.0,454.0')] ).
cnf(1303,plain,
$false,
inference(mrr,[status(thm)],[1302,461,460]),
[iquote('0:MRR:1302.0,1302.1,461.0,460.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LAT292+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.14 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jun 29 17:57:57 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.59
% 0.20/0.59 SPASS V 3.9
% 0.20/0.59 SPASS beiseite: Proof found.
% 0.20/0.59 % SZS status Theorem
% 0.20/0.59 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.59 SPASS derived 910 clauses, backtracked 0 clauses, performed 0 splits and kept 883 clauses.
% 0.20/0.59 SPASS allocated 98644 KBytes.
% 0.20/0.59 SPASS spent 0:00:00.22 on the problem.
% 0.20/0.59 0:00:00.04 for the input.
% 0.20/0.59 0:00:00.06 for the FLOTTER CNF translation.
% 0.20/0.59 0:00:00.01 for inferences.
% 0.20/0.59 0:00:00.00 for the backtracking.
% 0.20/0.59 0:00:00.07 for the reduction.
% 0.20/0.59
% 0.20/0.59
% 0.20/0.59 Here is a proof with depth 2, length 27 :
% 0.20/0.59 % SZS output start Refutation
% See solution above
% 0.20/0.59 Formulae used in the proof : t44_lopclset dt_k11_lopclset fc4_lopclset t43_lopclset d9_lopclset
% 0.20/0.59
%------------------------------------------------------------------------------