TSTP Solution File: LAT291+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LAT291+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n003.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 06:50:13 EDT 2022
% Result : Theorem 1.51s 1.74s
% Output : Refutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of clauses : 24 ( 12 unt; 7 nHn; 24 RR)
% Number of literals : 58 ( 0 equ; 26 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
v10_lattices(skc9),
file('LAT291+1.p',unknown),
[] ).
cnf(2,axiom,
v17_lattices(skc9),
file('LAT291+1.p',unknown),
[] ).
cnf(3,axiom,
l3_lattices(skc9),
file('LAT291+1.p',unknown),
[] ).
cnf(36,axiom,
~ v3_struct_0(skc9),
file('LAT291+1.p',unknown),
[] ).
cnf(37,axiom,
~ v3_realset2(skc9),
file('LAT291+1.p',unknown),
[] ).
cnf(67,axiom,
( ~ l3_lattices(u)
| l1_lattices(u) ),
file('LAT291+1.p',unknown),
[] ).
cnf(73,axiom,
equal(k4_xboole_0(u,k1_xboole_0),u),
file('LAT291+1.p',unknown),
[] ).
cnf(157,axiom,
( ~ l1_lattices(u)
| v3_struct_0(u)
| m1_subset_1(k5_lattices(u),u1_struct_0(u)) ),
file('LAT291+1.p',unknown),
[] ).
cnf(174,axiom,
~ equal(k8_funct_2(u1_struct_0(skc9),k1_zfmisc_1(k7_lopclset(skc9)),k9_lopclset(skc9),k6_lattices(skc9)),k7_lopclset(skc9)),
file('LAT291+1.p',unknown),
[] ).
cnf(186,axiom,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| equal(k7_lattices(u,k5_lattices(u)),k6_lattices(u)) ),
file('LAT291+1.p',unknown),
[] ).
cnf(195,axiom,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| v3_realset2(u)
| v3_struct_0(u)
| equal(k8_funct_2(u1_struct_0(u),k1_zfmisc_1(k7_lopclset(u)),k9_lopclset(u),k5_lattices(u)),k1_xboole_0) ),
file('LAT291+1.p',unknown),
[] ).
cnf(200,axiom,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| v3_realset2(u)
| v3_struct_0(u)
| equal(k4_xboole_0(k7_lopclset(u),k8_funct_2(u1_struct_0(u),k1_zfmisc_1(k7_lopclset(u)),k9_lopclset(u),v)),k8_funct_2(u1_struct_0(u),k1_zfmisc_1(k7_lopclset(u)),k9_lopclset(u),k7_lattices(u,v))) ),
file('LAT291+1.p',unknown),
[] ).
cnf(219,plain,
( ~ v10_lattices(skc9)
| ~ v17_lattices(skc9)
| v3_struct_0(skc9)
| equal(k7_lattices(skc9,k5_lattices(skc9)),k6_lattices(skc9)) ),
inference(res,[status(thm),theory(equality)],[3,186]),
[iquote('0:Res:3.0,186.2')] ).
cnf(241,plain,
l1_lattices(skc9),
inference(res,[status(thm),theory(equality)],[3,67]),
[iquote('0:Res:3.0,67.0')] ).
cnf(263,plain,
( ~ v17_lattices(skc9)
| ~ l3_lattices(skc9)
| ~ m1_subset_1(u,u1_struct_0(skc9))
| v3_struct_0(skc9)
| v3_realset2(skc9)
| equal(k4_xboole_0(k7_lopclset(skc9),k8_funct_2(u1_struct_0(skc9),k1_zfmisc_1(k7_lopclset(skc9)),k9_lopclset(skc9),u)),k8_funct_2(u1_struct_0(skc9),k1_zfmisc_1(k7_lopclset(skc9)),k9_lopclset(skc9),k7_lattices(skc9,u))) ),
inference(res,[status(thm),theory(equality)],[1,200]),
[iquote('0:Res:1.0,200.0')] ).
cnf(265,plain,
( ~ v17_lattices(skc9)
| ~ l3_lattices(skc9)
| v3_struct_0(skc9)
| v3_realset2(skc9)
| equal(k8_funct_2(u1_struct_0(skc9),k1_zfmisc_1(k7_lopclset(skc9)),k9_lopclset(skc9),k5_lattices(skc9)),k1_xboole_0) ),
inference(res,[status(thm),theory(equality)],[1,195]),
[iquote('0:Res:1.0,195.0')] ).
cnf(334,plain,
( ~ l1_lattices(skc9)
| m1_subset_1(k5_lattices(skc9),u1_struct_0(skc9)) ),
inference(res,[status(thm),theory(equality)],[157,36]),
[iquote('0:Res:157.1,36.0')] ).
cnf(356,plain,
m1_subset_1(k5_lattices(skc9),u1_struct_0(skc9)),
inference(mrr,[status(thm)],[334,241]),
[iquote('0:MRR:334.0,241.0')] ).
cnf(368,plain,
equal(k7_lattices(skc9,k5_lattices(skc9)),k6_lattices(skc9)),
inference(mrr,[status(thm)],[219,1,2,36]),
[iquote('0:MRR:219.0,219.1,219.2,1.0,2.0,36.0')] ).
cnf(374,plain,
equal(k8_funct_2(u1_struct_0(skc9),k1_zfmisc_1(k7_lopclset(skc9)),k9_lopclset(skc9),k5_lattices(skc9)),k1_xboole_0),
inference(mrr,[status(thm)],[265,2,3,36,37]),
[iquote('0:MRR:265.0,265.1,265.2,265.3,2.0,3.0,36.0,37.0')] ).
cnf(376,plain,
( ~ m1_subset_1(u,u1_struct_0(skc9))
| equal(k4_xboole_0(k7_lopclset(skc9),k8_funct_2(u1_struct_0(skc9),k1_zfmisc_1(k7_lopclset(skc9)),k9_lopclset(skc9),u)),k8_funct_2(u1_struct_0(skc9),k1_zfmisc_1(k7_lopclset(skc9)),k9_lopclset(skc9),k7_lattices(skc9,u))) ),
inference(mrr,[status(thm)],[263,2,3,36,37]),
[iquote('0:MRR:263.0,263.1,263.3,263.4,2.0,3.0,36.0,37.0')] ).
cnf(9152,plain,
( ~ m1_subset_1(k5_lattices(skc9),u1_struct_0(skc9))
| equal(k8_funct_2(u1_struct_0(skc9),k1_zfmisc_1(k7_lopclset(skc9)),k9_lopclset(skc9),k7_lattices(skc9,k5_lattices(skc9))),k4_xboole_0(k7_lopclset(skc9),k1_xboole_0)) ),
inference(spr,[status(thm),theory(equality)],[374,376]),
[iquote('0:SpR:374.0,376.1')] ).
cnf(9154,plain,
( ~ m1_subset_1(k5_lattices(skc9),u1_struct_0(skc9))
| equal(k8_funct_2(u1_struct_0(skc9),k1_zfmisc_1(k7_lopclset(skc9)),k9_lopclset(skc9),k6_lattices(skc9)),k7_lopclset(skc9)) ),
inference(rew,[status(thm),theory(equality)],[368,9152,73]),
[iquote('0:Rew:368.0,9152.1,73.0,9152.1')] ).
cnf(9155,plain,
$false,
inference(mrr,[status(thm)],[9154,356,174]),
[iquote('0:MRR:9154.0,9154.1,356.0,174.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT291+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n003.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 : Thu Jun 30 11:53:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.51/1.74
% 1.51/1.74 SPASS V 3.9
% 1.51/1.74 SPASS beiseite: Proof found.
% 1.51/1.74 % SZS status Theorem
% 1.51/1.74 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.51/1.74 SPASS derived 8322 clauses, backtracked 84 clauses, performed 1 splits and kept 3910 clauses.
% 1.51/1.74 SPASS allocated 103544 KBytes.
% 1.51/1.74 SPASS spent 0:00:01.36 on the problem.
% 1.51/1.74 0:00:00.04 for the input.
% 1.51/1.74 0:00:00.05 for the FLOTTER CNF translation.
% 1.51/1.74 0:00:00.10 for inferences.
% 1.51/1.74 0:00:00.00 for the backtracking.
% 1.51/1.74 0:00:01.04 for the reduction.
% 1.51/1.74
% 1.51/1.74
% 1.51/1.74 Here is a proof with depth 2, length 24 :
% 1.51/1.74 % SZS output start Refutation
% See solution above
% 1.51/1.74 Formulae used in the proof : t37_lopclset dt_l3_lattices t3_boole dt_k5_lattices t37_lattice4 t36_lopclset t28_lopclset
% 1.51/1.74
%------------------------------------------------------------------------------