%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LAT300+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 06:50:23 EDT 2022
% Result : Theorem 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 23 ( 10 unt; 5 nHn; 23 RR)
% Number of literals : 54 ( 0 equ; 31 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
v10_lattices(skc9),
file('LAT300+1.p',unknown),
[] ).
cnf(2,axiom,
l3_lattices(skc9),
file('LAT300+1.p',unknown),
[] ).
cnf(10,axiom,
m2_filter_2(skc10,skc9),
file('LAT300+1.p',unknown),
[] ).
cnf(11,axiom,
~ v3_struct_0(skc9),
file('LAT300+1.p',unknown),
[] ).
cnf(16,axiom,
m1_subset_1(skf9(u),u),
file('LAT300+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ r2_hidden(u,skc10)
| ~ m1_subset_1(u,u1_struct_0(skc9)) ),
file('LAT300+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ m1_subset_1(u,v)
| v1_xboole_0(v)
| r2_hidden(u,v) ),
file('LAT300+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ r2_hidden(u,v)
| ~ m1_subset_1(v,k1_zfmisc_1(w))
| m1_subset_1(u,w) ),
file('LAT300+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ v1_xboole_0(v)
| ~ m2_filter_2(v,u)
| v3_struct_0(u) ),
file('LAT300+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m2_filter_2(v,u)
| v3_struct_0(u)
| m2_lattice4(v,u) ),
file('LAT300+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m2_lattice4(v,u)
| v3_struct_0(u)
| m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u))) ),
file('LAT300+1.p',unknown),
[] ).
cnf(59,plain,
( ~ v10_lattices(skc9)
| ~ m2_lattice4(u,skc9)
| v3_struct_0(skc9)
| m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc9))) ),
inference(res,[status(thm),theory(equality)],[2,52]),
[iquote('0:Res:2.0,52.1')] ).
cnf(104,plain,
( ~ v10_lattices(skc9)
| ~ l3_lattices(skc9)
| m2_lattice4(skc10,skc9)
| v3_struct_0(skc9) ),
inference(res,[status(thm),theory(equality)],[10,51]),
[iquote('0:Res:10.0,51.2')] ).
cnf(105,plain,
( ~ v1_xboole_0(skc10)
| ~ v10_lattices(skc9)
| ~ l3_lattices(skc9)
| v3_struct_0(skc9) ),
inference(res,[status(thm),theory(equality)],[10,50]),
[iquote('0:Res:10.0,50.3')] ).
cnf(116,plain,
m2_lattice4(skc10,skc9),
inference(mrr,[status(thm)],[104,1,2,11]),
[iquote('0:MRR:104.0,104.1,104.3,1.0,2.0,11.0')] ).
cnf(117,plain,
~ v1_xboole_0(skc10),
inference(mrr,[status(thm)],[105,1,2,11]),
[iquote('0:MRR:105.1,105.2,105.3,1.0,2.0,11.0')] ).
cnf(120,plain,
( ~ m2_lattice4(u,skc9)
| m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc9))) ),
inference(mrr,[status(thm)],[59,1,11]),
[iquote('0:MRR:59.0,59.2,1.0,11.0')] ).
cnf(236,plain,
( ~ m2_lattice4(u,skc9)
| ~ r2_hidden(v,u)
| m1_subset_1(v,u1_struct_0(skc9)) ),
inference(res,[status(thm),theory(equality)],[120,48]),
[iquote('0:Res:120.1,48.1')] ).
cnf(392,plain,
( ~ r2_hidden(u,skc10)
| m1_subset_1(u,u1_struct_0(skc9)) ),
inference(res,[status(thm),theory(equality)],[116,236]),
[iquote('0:Res:116.0,236.0')] ).
cnf(399,plain,
~ r2_hidden(u,skc10),
inference(mrr,[status(thm)],[392,34]),
[iquote('0:MRR:392.1,34.1')] ).
cnf(400,plain,
( ~ m1_subset_1(u,skc10)
| v1_xboole_0(skc10) ),
inference(res,[status(thm),theory(equality)],[37,399]),
[iquote('0:Res:37.2,399.0')] ).
cnf(401,plain,
~ m1_subset_1(u,skc10),
inference(mrr,[status(thm)],[400,117]),
[iquote('0:MRR:400.1,117.0')] ).
cnf(402,plain,
$false,
inference(unc,[status(thm)],[401,16]),
[iquote('0:UnC:401.0,16.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT300+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 29 14:37:48 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.47
% 0.18/0.47 SPASS V 3.9
% 0.18/0.47 SPASS beiseite: Proof found.
% 0.18/0.47 % SZS status Theorem
% 0.18/0.47 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47 SPASS derived 233 clauses, backtracked 0 clauses, performed 0 splits and kept 179 clauses.
% 0.18/0.47 SPASS allocated 104192 KBytes.
% 0.18/0.47 SPASS spent 0:00:00.12 on the problem.
% 0.18/0.47 0:00:00.03 for the input.
% 0.18/0.47 0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.47 0:00:00.00 for inferences.
% 0.18/0.47 0:00:00.00 for the backtracking.
% 0.18/0.47 0:00:00.02 for the reduction.
% 0.18/0.47
% 0.18/0.47
% 0.18/0.47 Here is a proof with depth 4, length 23 :
% 0.18/0.47 % SZS output start Refutation
% See solution above
% 0.18/0.47 Formulae used in the proof : t24_filter_2 existence_m1_subset_1 t2_subset t4_subset dt_m2_filter_2 dt_m2_lattice4
% 0.18/0.47
%------------------------------------------------------------------------------