%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LAT301+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n010.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 06:50:24 EDT 2022
% Result : Theorem 0.17s 0.56s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 25
% Syntax : Number of clauses : 67 ( 23 unt; 34 nHn; 67 RR)
% Number of literals : 185 ( 0 equ; 87 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 19 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
v10_lattices(skc16),
file('LAT301+1.p',unknown),
[] ).
cnf(2,axiom,
l3_lattices(skc16),
file('LAT301+1.p',unknown),
[] ).
cnf(3,axiom,
v13_lattices(skc16),
file('LAT301+1.p',unknown),
[] ).
cnf(44,axiom,
m2_filter_2(skc17,skc16),
file('LAT301+1.p',unknown),
[] ).
cnf(45,axiom,
~ v3_struct_0(skc16),
file('LAT301+1.p',unknown),
[] ).
cnf(56,axiom,
~ r2_hidden(k5_lattices(skc16),skc17),
file('LAT301+1.p',unknown),
[] ).
cnf(64,axiom,
( ~ l3_lattices(u)
| v3_lattices(k1_lattice2(u)) ),
file('LAT301+1.p',unknown),
[] ).
cnf(65,axiom,
( ~ l3_lattices(u)
| l3_lattices(k1_lattice2(u)) ),
file('LAT301+1.p',unknown),
[] ).
cnf(80,axiom,
( ~ l3_lattices(u)
| ~ v3_struct_0(k1_lattice2(u))
| v3_struct_0(u) ),
file('LAT301+1.p',unknown),
[] ).
cnf(109,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v4_lattices(k1_lattice2(u)) ),
file('LAT301+1.p',unknown),
[] ).
cnf(110,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v5_lattices(k1_lattice2(u)) ),
file('LAT301+1.p',unknown),
[] ).
cnf(111,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v6_lattices(k1_lattice2(u)) ),
file('LAT301+1.p',unknown),
[] ).
cnf(112,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v7_lattices(k1_lattice2(u)) ),
file('LAT301+1.p',unknown),
[] ).
cnf(113,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v8_lattices(k1_lattice2(u)) ),
file('LAT301+1.p',unknown),
[] ).
cnf(114,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v9_lattices(k1_lattice2(u)) ),
file('LAT301+1.p',unknown),
[] ).
cnf(115,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v10_lattices(k1_lattice2(u)) ),
file('LAT301+1.p',unknown),
[] ).
cnf(134,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ v13_lattices(u)
| v3_struct_0(u)
| v14_lattices(k1_lattice2(u)) ),
file('LAT301+1.p',unknown),
[] ).
cnf(141,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m2_filter_2(v,u)
| v3_struct_0(u)
| m2_lattice4(v,u) ),
file('LAT301+1.p',unknown),
[] ).
cnf(142,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_filter_2(v,u)
| v3_struct_0(u)
| m1_filter_0(v,u) ),
file('LAT301+1.p',unknown),
[] ).
cnf(145,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('LAT301+1.p',unknown),
[] ).
cnf(146,axiom,
( ~ l3_lattices(u)
| ~ v13_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| equal(k6_lattices(k1_lattice2(u)),k5_lattices(u)) ),
file('LAT301+1.p',unknown),
[] ).
cnf(147,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m2_filter_2(v,u)
| m1_filter_2(k15_filter_2(u,v),k1_lattice2(u))
| v3_struct_0(u) ),
file('LAT301+1.p',unknown),
[] ).
cnf(156,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u)))
| v3_struct_0(u)
| equal(k7_filter_2(u,v),v) ),
file('LAT301+1.p',unknown),
[] ).
cnf(157,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ m2_filter_2(v,u)
| v3_struct_0(u)
| equal(k15_filter_2(u,v),k7_filter_2(u,v)) ),
file('LAT301+1.p',unknown),
[] ).
cnf(158,axiom,
( ~ v14_lattices(u)
| ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_filter_0(v,u)
| v3_struct_0(u)
| r2_hidden(k6_lattices(u),v) ),
file('LAT301+1.p',unknown),
[] ).
cnf(170,plain,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ m2_filter_2(v,u)
| v3_struct_0(u)
| m1_filter_2(k7_filter_2(u,v),k1_lattice2(u)) ),
inference(rew,[status(thm),theory(equality)],[157,147]),
[iquote('0:Rew:157.3,147.3')] ).
cnf(173,plain,
( ~ v10_lattices(skc16)
| ~ l3_lattices(skc16)
| v3_struct_0(skc16)
| equal(k6_lattices(k1_lattice2(skc16)),k5_lattices(skc16)) ),
inference(res,[status(thm),theory(equality)],[3,146]),
[iquote('0:Res:3.0,146.1')] ).
cnf(174,plain,
( ~ v10_lattices(skc16)
| ~ l3_lattices(skc16)
| v14_lattices(k1_lattice2(skc16))
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[3,134]),
[iquote('0:Res:3.0,134.0')] ).
cnf(178,plain,
( ~ v10_lattices(skc16)
| ~ m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc16)))
| v3_struct_0(skc16)
| equal(k7_filter_2(skc16,u),u) ),
inference(res,[status(thm),theory(equality)],[2,156]),
[iquote('0:Res:2.0,156.1')] ).
cnf(183,plain,
( ~ v10_lattices(skc16)
| ~ m2_lattice4(u,skc16)
| v3_struct_0(skc16)
| m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc16))) ),
inference(res,[status(thm),theory(equality)],[2,145]),
[iquote('0:Res:2.0,145.1')] ).
cnf(199,plain,
( ~ v10_lattices(skc16)
| v4_lattices(k1_lattice2(skc16))
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,109]),
[iquote('0:Res:2.0,109.1')] ).
cnf(200,plain,
( ~ v10_lattices(skc16)
| v5_lattices(k1_lattice2(skc16))
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,110]),
[iquote('0:Res:2.0,110.1')] ).
cnf(201,plain,
( ~ v10_lattices(skc16)
| v6_lattices(k1_lattice2(skc16))
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,111]),
[iquote('0:Res:2.0,111.1')] ).
cnf(202,plain,
( ~ v10_lattices(skc16)
| v7_lattices(k1_lattice2(skc16))
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,112]),
[iquote('0:Res:2.0,112.1')] ).
cnf(203,plain,
( ~ v10_lattices(skc16)
| v8_lattices(k1_lattice2(skc16))
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,113]),
[iquote('0:Res:2.0,113.1')] ).
cnf(204,plain,
( ~ v10_lattices(skc16)
| v9_lattices(k1_lattice2(skc16))
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,114]),
[iquote('0:Res:2.0,114.1')] ).
cnf(205,plain,
( ~ v10_lattices(skc16)
| v10_lattices(k1_lattice2(skc16))
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,115]),
[iquote('0:Res:2.0,115.1')] ).
cnf(214,plain,
( ~ v3_struct_0(k1_lattice2(skc16))
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,80]),
[iquote('0:Res:2.0,80.0')] ).
cnf(215,plain,
v3_lattices(k1_lattice2(skc16)),
inference(res,[status(thm),theory(equality)],[2,64]),
[iquote('0:Res:2.0,64.0')] ).
cnf(216,plain,
l3_lattices(k1_lattice2(skc16)),
inference(res,[status(thm),theory(equality)],[2,65]),
[iquote('0:Res:2.0,65.0')] ).
cnf(313,plain,
( ~ l3_lattices(skc16)
| ~ v10_lattices(skc16)
| m1_filter_2(k7_filter_2(skc16,skc17),k1_lattice2(skc16))
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[44,170]),
[iquote('0:Res:44.0,170.2')] ).
cnf(315,plain,
( ~ v10_lattices(skc16)
| ~ l3_lattices(skc16)
| m2_lattice4(skc17,skc16)
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[44,141]),
[iquote('0:Res:44.0,141.2')] ).
cnf(318,plain,
~ v3_struct_0(k1_lattice2(skc16)),
inference(mrr,[status(thm)],[214,45]),
[iquote('0:MRR:214.1,45.0')] ).
cnf(326,plain,
v4_lattices(k1_lattice2(skc16)),
inference(mrr,[status(thm)],[199,1,45]),
[iquote('0:MRR:199.0,199.2,1.0,45.0')] ).
cnf(327,plain,
v5_lattices(k1_lattice2(skc16)),
inference(mrr,[status(thm)],[200,1,45]),
[iquote('0:MRR:200.0,200.2,1.0,45.0')] ).
cnf(328,plain,
v6_lattices(k1_lattice2(skc16)),
inference(mrr,[status(thm)],[201,1,45]),
[iquote('0:MRR:201.0,201.2,1.0,45.0')] ).
cnf(329,plain,
v7_lattices(k1_lattice2(skc16)),
inference(mrr,[status(thm)],[202,1,45]),
[iquote('0:MRR:202.0,202.2,1.0,45.0')] ).
cnf(330,plain,
v8_lattices(k1_lattice2(skc16)),
inference(mrr,[status(thm)],[203,1,45]),
[iquote('0:MRR:203.0,203.2,1.0,45.0')] ).
cnf(331,plain,
v9_lattices(k1_lattice2(skc16)),
inference(mrr,[status(thm)],[204,1,45]),
[iquote('0:MRR:204.0,204.2,1.0,45.0')] ).
cnf(332,plain,
v10_lattices(k1_lattice2(skc16)),
inference(mrr,[status(thm)],[205,1,45]),
[iquote('0:MRR:205.0,205.2,1.0,45.0')] ).
cnf(343,plain,
v14_lattices(k1_lattice2(skc16)),
inference(mrr,[status(thm)],[174,1,2,45]),
[iquote('0:MRR:174.0,174.1,174.3,1.0,2.0,45.0')] ).
cnf(348,plain,
m2_lattice4(skc17,skc16),
inference(mrr,[status(thm)],[315,1,2,45]),
[iquote('0:MRR:315.0,315.1,315.3,1.0,2.0,45.0')] ).
cnf(358,plain,
equal(k6_lattices(k1_lattice2(skc16)),k5_lattices(skc16)),
inference(mrr,[status(thm)],[173,1,2,45]),
[iquote('0:MRR:173.0,173.1,173.2,1.0,2.0,45.0')] ).
cnf(360,plain,
( ~ m2_lattice4(u,skc16)
| m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc16))) ),
inference(mrr,[status(thm)],[183,1,45]),
[iquote('0:MRR:183.0,183.2,1.0,45.0')] ).
cnf(361,plain,
m1_filter_2(k7_filter_2(skc16,skc17),k1_lattice2(skc16)),
inference(mrr,[status(thm)],[313,2,1,45]),
[iquote('0:MRR:313.0,313.1,313.3,2.0,1.0,45.0')] ).
cnf(364,plain,
( ~ m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc16)))
| equal(k7_filter_2(skc16,u),u) ),
inference(mrr,[status(thm)],[178,1,45]),
[iquote('0:MRR:178.0,178.2,1.0,45.0')] ).
cnf(522,plain,
( ~ m2_lattice4(u,skc16)
| equal(k7_filter_2(skc16,u),u) ),
inference(res,[status(thm),theory(equality)],[360,364]),
[iquote('0:Res:360.1,364.0')] ).
cnf(536,plain,
( ~ m2_lattice4(skc17,skc16)
| m1_filter_2(skc17,k1_lattice2(skc16)) ),
inference(spr,[status(thm),theory(equality)],[522,361]),
[iquote('0:SpR:522.1,361.0')] ).
cnf(543,plain,
m1_filter_2(skc17,k1_lattice2(skc16)),
inference(mrr,[status(thm)],[536,348]),
[iquote('0:MRR:536.0,348.0')] ).
cnf(1249,plain,
( ~ v14_lattices(k1_lattice2(skc16))
| ~ l3_lattices(k1_lattice2(skc16))
| ~ v10_lattices(k1_lattice2(skc16))
| ~ m1_filter_0(u,k1_lattice2(skc16))
| v3_struct_0(k1_lattice2(skc16))
| r2_hidden(k5_lattices(skc16),u) ),
inference(spr,[status(thm),theory(equality)],[358,158]),
[iquote('0:SpR:358.0,158.5')] ).
cnf(1269,plain,
( ~ m1_filter_0(u,k1_lattice2(skc16))
| v3_struct_0(k1_lattice2(skc16))
| r2_hidden(k5_lattices(skc16),u) ),
inference(ssi,[status(thm)],[1249,331,330,215,343,329,328,327,326,332,216]),
[iquote('0:SSi:1249.2,1249.1,1249.0,331.0,330.0,215.0,343.0,329.0,328.0,327.0,326.0,332.0,216.0,331.0,330.0,215.0,343.0,329.0,328.0,327.0,326.0,332.0,216.0,331.0,330.0,215.0,343.0,329.0,328.0,327.0,326.0,332.0,216.0')] ).
cnf(1270,plain,
( ~ m1_filter_0(u,k1_lattice2(skc16))
| r2_hidden(k5_lattices(skc16),u) ),
inference(mrr,[status(thm)],[1269,318]),
[iquote('0:MRR:1269.1,318.0')] ).
cnf(1274,plain,
( ~ l3_lattices(k1_lattice2(skc16))
| ~ v10_lattices(k1_lattice2(skc16))
| ~ m1_filter_2(u,k1_lattice2(skc16))
| v3_struct_0(k1_lattice2(skc16))
| r2_hidden(k5_lattices(skc16),u) ),
inference(res,[status(thm),theory(equality)],[142,1270]),
[iquote('0:Res:142.4,1270.0')] ).
cnf(1277,plain,
( ~ m1_filter_2(u,k1_lattice2(skc16))
| v3_struct_0(k1_lattice2(skc16))
| r2_hidden(k5_lattices(skc16),u) ),
inference(ssi,[status(thm)],[1274,331,330,215,343,329,328,327,326,332,216]),
[iquote('0:SSi:1274.1,1274.0,331.0,330.0,215.0,343.0,329.0,328.0,327.0,326.0,332.0,216.0,331.0,330.0,215.0,343.0,329.0,328.0,327.0,326.0,332.0,216.0')] ).
cnf(1278,plain,
( ~ m1_filter_2(u,k1_lattice2(skc16))
| r2_hidden(k5_lattices(skc16),u) ),
inference(mrr,[status(thm)],[1277,318]),
[iquote('0:MRR:1277.1,318.0')] ).
cnf(1286,plain,
r2_hidden(k5_lattices(skc16),skc17),
inference(res,[status(thm),theory(equality)],[543,1278]),
[iquote('0:Res:543.0,1278.0')] ).
cnf(1290,plain,
$false,
inference(mrr,[status(thm)],[1286,56]),
[iquote('0:MRR:1286.0,56.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LAT301+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.32 % Computer : n010.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Thu Jun 30 06:21:49 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.17/0.56
% 0.17/0.56 SPASS V 3.9
% 0.17/0.56 SPASS beiseite: Proof found.
% 0.17/0.56 % SZS status Theorem
% 0.17/0.56 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.56 SPASS derived 957 clauses, backtracked 0 clauses, performed 0 splits and kept 638 clauses.
% 0.17/0.56 SPASS allocated 98726 KBytes.
% 0.17/0.56 SPASS spent 0:00:00.22 on the problem.
% 0.17/0.56 0:00:00.04 for the input.
% 0.17/0.56 0:00:00.05 for the FLOTTER CNF translation.
% 0.17/0.56 0:00:00.02 for inferences.
% 0.17/0.56 0:00:00.00 for the backtracking.
% 0.17/0.56 0:00:00.07 for the reduction.
% 0.17/0.56
% 0.17/0.56
% 0.17/0.56 Here is a proof with depth 4, length 67 :
% 0.17/0.56 % SZS output start Refutation
% See solution above
% 0.17/0.56 Formulae used in the proof : t25_filter_2 dt_k1_lattice2 fc1_lattice2 fc6_lattice2 t63_lattice2 dt_m2_filter_2 redefinition_m1_filter_2 dt_m2_lattice4 t78_lattice2 dt_k15_filter_2 d6_filter_2 redefinition_k15_filter_2 t12_filter_0
% 0.17/0.56
%------------------------------------------------------------------------------