TSTP Solution File: LAT292+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT292+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%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 : 300s
% DateTime : Wed May 31 12:17:20 EDT 2023
% Result : Theorem 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of formulae : 66 ( 11 unt; 0 def)
% Number of atoms : 255 ( 6 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 303 ( 114 ~; 125 |; 48 &)
% ( 10 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 11 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 21 (; 18 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v17_lattices(A)
& ~ v3_realset2(A)
& l3_lattices(A) )
=> ? [B] :
( ~ v3_struct_0(B)
& v2_pre_topc(B)
& l1_pre_topc(B)
& r1_filter_1(A,k6_lopclset(B)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v17_lattices(A)
& ~ v3_realset2(A)
& l3_lattices(A) )
=> ? [B] :
( ~ v3_struct_0(B)
& v2_pre_topc(B)
& l1_pre_topc(B)
& r1_filter_1(A,k6_lopclset(B)) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f38,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v17_lattices(A)
& ~ v3_realset2(A)
& l3_lattices(A) )
=> k12_lopclset(A) = k6_lopclset(k11_lopclset(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v17_lattices(A)
& ~ v3_realset2(A)
& l3_lattices(A) )
=> ( v1_pre_topc(k11_lopclset(A))
& v2_pre_topc(k11_lopclset(A))
& l1_pre_topc(k11_lopclset(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f75,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v17_lattices(A)
& ~ v3_realset2(A)
& l3_lattices(A) )
=> ( ~ v3_struct_0(k11_lopclset(A))
& v1_pre_topc(k11_lopclset(A))
& v2_pre_topc(k11_lopclset(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f108,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v17_lattices(A)
& ~ v3_realset2(A)
& l3_lattices(A) )
=> r1_filter_1(A,k12_lopclset(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f114,plain,
? [A] :
( ~ v3_struct_0(A)
& v10_lattices(A)
& v17_lattices(A)
& ~ v3_realset2(A)
& l3_lattices(A)
& ! [B] :
( v3_struct_0(B)
| ~ v2_pre_topc(B)
| ~ l1_pre_topc(B)
| ~ r1_filter_1(A,k6_lopclset(B)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f115,plain,
( ~ v3_struct_0(sk0_0)
& v10_lattices(sk0_0)
& v17_lattices(sk0_0)
& ~ v3_realset2(sk0_0)
& l3_lattices(sk0_0)
& ! [B] :
( v3_struct_0(B)
| ~ v2_pre_topc(B)
| ~ l1_pre_topc(B)
| ~ r1_filter_1(sk0_0,k6_lopclset(B)) ) ),
inference(skolemization,[status(esa)],[f114]) ).
fof(f116,plain,
~ v3_struct_0(sk0_0),
inference(cnf_transformation,[status(esa)],[f115]) ).
fof(f117,plain,
v10_lattices(sk0_0),
inference(cnf_transformation,[status(esa)],[f115]) ).
fof(f118,plain,
v17_lattices(sk0_0),
inference(cnf_transformation,[status(esa)],[f115]) ).
fof(f119,plain,
~ v3_realset2(sk0_0),
inference(cnf_transformation,[status(esa)],[f115]) ).
fof(f120,plain,
l3_lattices(sk0_0),
inference(cnf_transformation,[status(esa)],[f115]) ).
fof(f121,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ r1_filter_1(sk0_0,k6_lopclset(X0)) ),
inference(cnf_transformation,[status(esa)],[f115]) ).
fof(f249,plain,
! [A] :
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ v17_lattices(A)
| v3_realset2(A)
| ~ l3_lattices(A)
| k12_lopclset(A) = k6_lopclset(k11_lopclset(A)) ),
inference(pre_NNF_transformation,[status(esa)],[f38]) ).
fof(f250,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0)
| k12_lopclset(X0) = k6_lopclset(k11_lopclset(X0)) ),
inference(cnf_transformation,[status(esa)],[f249]) ).
fof(f257,plain,
! [A] :
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ v17_lattices(A)
| v3_realset2(A)
| ~ l3_lattices(A)
| ( v1_pre_topc(k11_lopclset(A))
& v2_pre_topc(k11_lopclset(A))
& l1_pre_topc(k11_lopclset(A)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f41]) ).
fof(f259,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0)
| v2_pre_topc(k11_lopclset(X0)) ),
inference(cnf_transformation,[status(esa)],[f257]) ).
fof(f260,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0)
| l1_pre_topc(k11_lopclset(X0)) ),
inference(cnf_transformation,[status(esa)],[f257]) ).
fof(f330,plain,
! [A] :
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ v17_lattices(A)
| v3_realset2(A)
| ~ l3_lattices(A)
| ( ~ v3_struct_0(k11_lopclset(A))
& v1_pre_topc(k11_lopclset(A))
& v2_pre_topc(k11_lopclset(A)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f75]) ).
fof(f331,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0)
| ~ v3_struct_0(k11_lopclset(X0)) ),
inference(cnf_transformation,[status(esa)],[f330]) ).
fof(f530,plain,
! [A] :
( v3_struct_0(A)
| ~ v10_lattices(A)
| ~ v17_lattices(A)
| v3_realset2(A)
| ~ l3_lattices(A)
| r1_filter_1(A,k12_lopclset(A)) ),
inference(pre_NNF_transformation,[status(esa)],[f108]) ).
fof(f531,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0)
| r1_filter_1(X0,k12_lopclset(X0)) ),
inference(cnf_transformation,[status(esa)],[f530]) ).
fof(f579,plain,
( spl0_7
<=> v3_struct_0(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f580,plain,
( v3_struct_0(sk0_0)
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f579]) ).
fof(f582,plain,
( spl0_8
<=> v10_lattices(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f584,plain,
( ~ v10_lattices(sk0_0)
| spl0_8 ),
inference(component_clause,[status(thm)],[f582]) ).
fof(f585,plain,
( spl0_9
<=> v17_lattices(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f587,plain,
( ~ v17_lattices(sk0_0)
| spl0_9 ),
inference(component_clause,[status(thm)],[f585]) ).
fof(f588,plain,
( spl0_10
<=> l3_lattices(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f590,plain,
( ~ l3_lattices(sk0_0)
| spl0_10 ),
inference(component_clause,[status(thm)],[f588]) ).
fof(f591,plain,
( spl0_11
<=> k12_lopclset(sk0_0) = k6_lopclset(k11_lopclset(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f592,plain,
( k12_lopclset(sk0_0) = k6_lopclset(k11_lopclset(sk0_0))
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f591]) ).
fof(f594,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| ~ v17_lattices(sk0_0)
| ~ l3_lattices(sk0_0)
| k12_lopclset(sk0_0) = k6_lopclset(k11_lopclset(sk0_0)) ),
inference(resolution,[status(thm)],[f250,f119]) ).
fof(f595,plain,
( spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(split_clause,[status(thm)],[f594,f579,f582,f585,f588,f591]) ).
fof(f596,plain,
( $false
| spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f590,f120]) ).
fof(f597,plain,
spl0_10,
inference(contradiction_clause,[status(thm)],[f596]) ).
fof(f598,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f587,f118]) ).
fof(f599,plain,
spl0_9,
inference(contradiction_clause,[status(thm)],[f598]) ).
fof(f600,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f584,f117]) ).
fof(f601,plain,
spl0_8,
inference(contradiction_clause,[status(thm)],[f600]) ).
fof(f604,plain,
( $false
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f580,f116]) ).
fof(f605,plain,
~ spl0_7,
inference(contradiction_clause,[status(thm)],[f604]) ).
fof(f612,plain,
( spl0_12
<=> v3_struct_0(k11_lopclset(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f613,plain,
( v3_struct_0(k11_lopclset(sk0_0))
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f612]) ).
fof(f615,plain,
( spl0_13
<=> v2_pre_topc(k11_lopclset(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f617,plain,
( ~ v2_pre_topc(k11_lopclset(sk0_0))
| spl0_13 ),
inference(component_clause,[status(thm)],[f615]) ).
fof(f618,plain,
( spl0_14
<=> l1_pre_topc(k11_lopclset(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f620,plain,
( ~ l1_pre_topc(k11_lopclset(sk0_0))
| spl0_14 ),
inference(component_clause,[status(thm)],[f618]) ).
fof(f636,plain,
( spl0_18
<=> r1_filter_1(sk0_0,k12_lopclset(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f638,plain,
( ~ r1_filter_1(sk0_0,k12_lopclset(sk0_0))
| spl0_18 ),
inference(component_clause,[status(thm)],[f636]) ).
fof(f639,plain,
( v3_struct_0(k11_lopclset(sk0_0))
| ~ v2_pre_topc(k11_lopclset(sk0_0))
| ~ l1_pre_topc(k11_lopclset(sk0_0))
| ~ r1_filter_1(sk0_0,k12_lopclset(sk0_0))
| ~ spl0_11 ),
inference(paramodulation,[status(thm)],[f592,f121]) ).
fof(f640,plain,
( spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f639,f612,f615,f618,f636,f591]) ).
fof(f641,plain,
( spl0_19
<=> v3_realset2(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f642,plain,
( v3_realset2(sk0_0)
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f641]) ).
fof(f644,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| ~ v17_lattices(sk0_0)
| v3_realset2(sk0_0)
| ~ l3_lattices(sk0_0)
| spl0_14 ),
inference(resolution,[status(thm)],[f620,f260]) ).
fof(f645,plain,
( spl0_7
| ~ spl0_8
| ~ spl0_9
| spl0_19
| ~ spl0_10
| spl0_14 ),
inference(split_clause,[status(thm)],[f644,f579,f582,f585,f641,f588,f618]) ).
fof(f646,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| ~ v17_lattices(sk0_0)
| v3_realset2(sk0_0)
| ~ l3_lattices(sk0_0)
| spl0_13 ),
inference(resolution,[status(thm)],[f617,f259]) ).
fof(f647,plain,
( spl0_7
| ~ spl0_8
| ~ spl0_9
| spl0_19
| ~ spl0_10
| spl0_13 ),
inference(split_clause,[status(thm)],[f646,f579,f582,f585,f641,f588,f615]) ).
fof(f648,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| ~ v17_lattices(sk0_0)
| v3_realset2(sk0_0)
| ~ l3_lattices(sk0_0)
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f613,f331]) ).
fof(f649,plain,
( spl0_7
| ~ spl0_8
| ~ spl0_9
| spl0_19
| ~ spl0_10
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f648,f579,f582,f585,f641,f588,f612]) ).
fof(f650,plain,
( $false
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f642,f119]) ).
fof(f651,plain,
~ spl0_19,
inference(contradiction_clause,[status(thm)],[f650]) ).
fof(f681,plain,
( v3_struct_0(sk0_0)
| ~ v10_lattices(sk0_0)
| ~ v17_lattices(sk0_0)
| v3_realset2(sk0_0)
| ~ l3_lattices(sk0_0)
| spl0_18 ),
inference(resolution,[status(thm)],[f638,f531]) ).
fof(f682,plain,
( spl0_7
| ~ spl0_8
| ~ spl0_9
| spl0_19
| ~ spl0_10
| spl0_18 ),
inference(split_clause,[status(thm)],[f681,f579,f582,f585,f641,f588,f636]) ).
fof(f683,plain,
$false,
inference(sat_refutation,[status(thm)],[f595,f597,f599,f601,f605,f640,f645,f647,f649,f651,f682]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT292+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 09:14:52 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.40 % Elapsed time: 0.052146 seconds
% 0.13/0.40 % CPU time: 0.232712 seconds
% 0.13/0.40 % Memory used: 22.375 MB
%------------------------------------------------------------------------------