TSTP Solution File: TOP027+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : TOP027+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 12:49:57 EDT 2023
% Result : Theorem 0.16s 0.33s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 54 ( 14 unt; 0 def)
% Number of atoms : 155 ( 8 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 162 ( 61 ~; 57 |; 21 &)
% ( 8 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 16 ( 14 usr; 9 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 30 (; 27 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A] :
( ( ~ v3_struct_0(A)
& v2_pre_topc(A)
& l1_pre_topc(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( v1_tsp_2(B,A)
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
=> k1_tops_1(A,C) = k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,k1_tops_1(A,C))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A] :
( ( ~ v3_struct_0(A)
& v2_pre_topc(A)
& l1_pre_topc(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( v1_tsp_2(B,A)
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
=> k1_tops_1(A,C) = k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,k1_tops_1(A,C))) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f69,axiom,
! [A,B] :
( ( l1_pre_topc(A)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
=> m1_subset_1(k1_tops_1(A,B),k1_zfmisc_1(u1_struct_0(A))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f77,axiom,
! [A,B] :
( ( v2_pre_topc(A)
& l1_pre_topc(A)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
=> v3_pre_topc(k1_tops_1(A,B),A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f80,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v2_pre_topc(A)
& l1_pre_topc(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( v1_tsp_2(B,A)
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
=> ( v3_pre_topc(C,A)
=> C = k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,C)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f81,plain,
? [A] :
( ~ v3_struct_0(A)
& v2_pre_topc(A)
& l1_pre_topc(A)
& ? [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& v1_tsp_2(B,A)
& ? [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
& k1_tops_1(A,C) != k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,k1_tops_1(A,C))) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f82,plain,
( ~ v3_struct_0(sk0_0)
& v2_pre_topc(sk0_0)
& l1_pre_topc(sk0_0)
& m1_subset_1(sk0_1,k1_zfmisc_1(u1_struct_0(sk0_0)))
& v1_tsp_2(sk0_1,sk0_0)
& m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_0)))
& k1_tops_1(sk0_0,sk0_2) != k3_tex_4(sk0_0,k5_subset_1(u1_struct_0(sk0_0),sk0_1,k1_tops_1(sk0_0,sk0_2))) ),
inference(skolemization,[status(esa)],[f81]) ).
fof(f83,plain,
~ v3_struct_0(sk0_0),
inference(cnf_transformation,[status(esa)],[f82]) ).
fof(f84,plain,
v2_pre_topc(sk0_0),
inference(cnf_transformation,[status(esa)],[f82]) ).
fof(f85,plain,
l1_pre_topc(sk0_0),
inference(cnf_transformation,[status(esa)],[f82]) ).
fof(f86,plain,
m1_subset_1(sk0_1,k1_zfmisc_1(u1_struct_0(sk0_0))),
inference(cnf_transformation,[status(esa)],[f82]) ).
fof(f87,plain,
v1_tsp_2(sk0_1,sk0_0),
inference(cnf_transformation,[status(esa)],[f82]) ).
fof(f88,plain,
m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_0))),
inference(cnf_transformation,[status(esa)],[f82]) ).
fof(f89,plain,
k1_tops_1(sk0_0,sk0_2) != k3_tex_4(sk0_0,k5_subset_1(u1_struct_0(sk0_0),sk0_1,k1_tops_1(sk0_0,sk0_2))),
inference(cnf_transformation,[status(esa)],[f82]) ).
fof(f336,plain,
! [A,B] :
( ~ l1_pre_topc(A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| m1_subset_1(k1_tops_1(A,B),k1_zfmisc_1(u1_struct_0(A))) ),
inference(pre_NNF_transformation,[status(esa)],[f69]) ).
fof(f337,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| m1_subset_1(k1_tops_1(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[status(esa)],[f336]) ).
fof(f345,plain,
! [A,B] :
( ~ v2_pre_topc(A)
| ~ l1_pre_topc(A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| v3_pre_topc(k1_tops_1(A,B),A) ),
inference(pre_NNF_transformation,[status(esa)],[f77]) ).
fof(f346,plain,
! [X0,X1] :
( ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_pre_topc(k1_tops_1(X0,X1),X0) ),
inference(cnf_transformation,[status(esa)],[f345]) ).
fof(f355,plain,
! [A] :
( v3_struct_0(A)
| ~ v2_pre_topc(A)
| ~ l1_pre_topc(A)
| ! [B] :
( ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ v1_tsp_2(B,A)
| ! [C] :
( ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
| ~ v3_pre_topc(C,A)
| C = k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,C)) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f80]) ).
fof(f356,plain,
! [X0,X1,X2] :
( v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_2(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(X2,X0)
| X2 = k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f355]) ).
fof(f357,plain,
( spl0_0
<=> l1_pre_topc(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f359,plain,
( ~ l1_pre_topc(sk0_0)
| spl0_0 ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f426,plain,
( spl0_15
<=> v2_pre_topc(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f428,plain,
( ~ v2_pre_topc(sk0_0)
| spl0_15 ),
inference(component_clause,[status(thm)],[f426]) ).
fof(f429,plain,
( spl0_16
<=> v3_pre_topc(k1_tops_1(sk0_0,sk0_2),sk0_0) ),
introduced(split_symbol_definition) ).
fof(f432,plain,
( ~ v2_pre_topc(sk0_0)
| ~ l1_pre_topc(sk0_0)
| v3_pre_topc(k1_tops_1(sk0_0,sk0_2),sk0_0) ),
inference(resolution,[status(thm)],[f346,f88]) ).
fof(f433,plain,
( ~ spl0_15
| ~ spl0_0
| spl0_16 ),
inference(split_clause,[status(thm)],[f432,f426,f357,f429]) ).
fof(f439,plain,
( $false
| spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f428,f84]) ).
fof(f440,plain,
spl0_15,
inference(contradiction_clause,[status(thm)],[f439]) ).
fof(f441,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f359,f85]) ).
fof(f442,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f441]) ).
fof(f543,plain,
( spl0_26
<=> v3_struct_0(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f544,plain,
( v3_struct_0(sk0_0)
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f543]) ).
fof(f546,plain,
( spl0_27
<=> m1_subset_1(sk0_1,k1_zfmisc_1(u1_struct_0(sk0_0))) ),
introduced(split_symbol_definition) ).
fof(f548,plain,
( ~ m1_subset_1(sk0_1,k1_zfmisc_1(u1_struct_0(sk0_0)))
| spl0_27 ),
inference(component_clause,[status(thm)],[f546]) ).
fof(f549,plain,
( spl0_28
<=> v1_tsp_2(sk0_1,sk0_0) ),
introduced(split_symbol_definition) ).
fof(f551,plain,
( ~ v1_tsp_2(sk0_1,sk0_0)
| spl0_28 ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f552,plain,
( spl0_29
<=> m1_subset_1(k1_tops_1(sk0_0,sk0_2),k1_zfmisc_1(u1_struct_0(sk0_0))) ),
introduced(split_symbol_definition) ).
fof(f554,plain,
( ~ m1_subset_1(k1_tops_1(sk0_0,sk0_2),k1_zfmisc_1(u1_struct_0(sk0_0)))
| spl0_29 ),
inference(component_clause,[status(thm)],[f552]) ).
fof(f555,plain,
( v3_struct_0(sk0_0)
| ~ v2_pre_topc(sk0_0)
| ~ l1_pre_topc(sk0_0)
| ~ m1_subset_1(sk0_1,k1_zfmisc_1(u1_struct_0(sk0_0)))
| ~ v1_tsp_2(sk0_1,sk0_0)
| ~ m1_subset_1(k1_tops_1(sk0_0,sk0_2),k1_zfmisc_1(u1_struct_0(sk0_0)))
| ~ v3_pre_topc(k1_tops_1(sk0_0,sk0_2),sk0_0) ),
inference(resolution,[status(thm)],[f356,f89]) ).
fof(f556,plain,
( spl0_26
| ~ spl0_15
| ~ spl0_0
| ~ spl0_27
| ~ spl0_28
| ~ spl0_29
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f555,f543,f426,f357,f546,f549,f552,f429]) ).
fof(f557,plain,
( spl0_30
<=> m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_0))) ),
introduced(split_symbol_definition) ).
fof(f559,plain,
( ~ m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_0)))
| spl0_30 ),
inference(component_clause,[status(thm)],[f557]) ).
fof(f560,plain,
( ~ l1_pre_topc(sk0_0)
| ~ m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_0)))
| spl0_29 ),
inference(resolution,[status(thm)],[f554,f337]) ).
fof(f561,plain,
( ~ spl0_0
| ~ spl0_30
| spl0_29 ),
inference(split_clause,[status(thm)],[f560,f357,f557,f552]) ).
fof(f562,plain,
( $false
| spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f559,f88]) ).
fof(f563,plain,
spl0_30,
inference(contradiction_clause,[status(thm)],[f562]) ).
fof(f564,plain,
( $false
| spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f551,f87]) ).
fof(f565,plain,
spl0_28,
inference(contradiction_clause,[status(thm)],[f564]) ).
fof(f566,plain,
( $false
| spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f548,f86]) ).
fof(f567,plain,
spl0_27,
inference(contradiction_clause,[status(thm)],[f566]) ).
fof(f568,plain,
( $false
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f544,f83]) ).
fof(f569,plain,
~ spl0_26,
inference(contradiction_clause,[status(thm)],[f568]) ).
fof(f570,plain,
$false,
inference(sat_refutation,[status(thm)],[f433,f440,f442,f556,f561,f563,f565,f567,f569]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : TOP027+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n005.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 10:30:21 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.5.1
% 0.16/0.33 % Refutation found
% 0.16/0.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.57 % Elapsed time: 0.042076 seconds
% 0.16/0.57 % CPU time: 0.018656 seconds
% 0.16/0.57 % Memory used: 4.138 MB
%------------------------------------------------------------------------------