TSTP Solution File: TOP026+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : TOP026+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 12:49:56 EDT 2023
% Result : Theorem 0.11s 0.34s
% Output : CNFRefutation 0.17s
% 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)))
=> k6_pre_topc(A,C) = k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,k6_pre_topc(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)))
=> k6_pre_topc(A,C) = k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,k6_pre_topc(A,C))) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f71,axiom,
! [A,B] :
( ( l1_pre_topc(A)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
=> m1_subset_1(k6_pre_topc(A,B),k1_zfmisc_1(u1_struct_0(A))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f76,axiom,
! [A,B] :
( ( v2_pre_topc(A)
& l1_pre_topc(A)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
=> v4_pre_topc(k6_pre_topc(A,B),A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f79,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)))
=> ( v4_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(f80,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)))
& k6_pre_topc(A,C) != k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,k6_pre_topc(A,C))) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f81,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)))
& k6_pre_topc(sk0_0,sk0_2) != k3_tex_4(sk0_0,k5_subset_1(u1_struct_0(sk0_0),sk0_1,k6_pre_topc(sk0_0,sk0_2))) ),
inference(skolemization,[status(esa)],[f80]) ).
fof(f82,plain,
~ v3_struct_0(sk0_0),
inference(cnf_transformation,[status(esa)],[f81]) ).
fof(f83,plain,
v2_pre_topc(sk0_0),
inference(cnf_transformation,[status(esa)],[f81]) ).
fof(f84,plain,
l1_pre_topc(sk0_0),
inference(cnf_transformation,[status(esa)],[f81]) ).
fof(f85,plain,
m1_subset_1(sk0_1,k1_zfmisc_1(u1_struct_0(sk0_0))),
inference(cnf_transformation,[status(esa)],[f81]) ).
fof(f86,plain,
v1_tsp_2(sk0_1,sk0_0),
inference(cnf_transformation,[status(esa)],[f81]) ).
fof(f87,plain,
m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_0))),
inference(cnf_transformation,[status(esa)],[f81]) ).
fof(f88,plain,
k6_pre_topc(sk0_0,sk0_2) != k3_tex_4(sk0_0,k5_subset_1(u1_struct_0(sk0_0),sk0_1,k6_pre_topc(sk0_0,sk0_2))),
inference(cnf_transformation,[status(esa)],[f81]) ).
fof(f331,plain,
! [A,B] :
( ~ l1_pre_topc(A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| m1_subset_1(k6_pre_topc(A,B),k1_zfmisc_1(u1_struct_0(A))) ),
inference(pre_NNF_transformation,[status(esa)],[f71]) ).
fof(f332,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| m1_subset_1(k6_pre_topc(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[status(esa)],[f331]) ).
fof(f336,plain,
! [A,B] :
( ~ v2_pre_topc(A)
| ~ l1_pre_topc(A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| v4_pre_topc(k6_pre_topc(A,B),A) ),
inference(pre_NNF_transformation,[status(esa)],[f76]) ).
fof(f337,plain,
! [X0,X1] :
( ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v4_pre_topc(k6_pre_topc(X0,X1),X0) ),
inference(cnf_transformation,[status(esa)],[f336]) ).
fof(f346,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)))
| ~ v4_pre_topc(C,A)
| C = k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,C)) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f79]) ).
fof(f347,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)))
| ~ v4_pre_topc(X2,X0)
| X2 = k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f346]) ).
fof(f348,plain,
( spl0_0
<=> v2_pre_topc(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f350,plain,
( ~ v2_pre_topc(sk0_0)
| spl0_0 ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f351,plain,
( spl0_1
<=> l1_pre_topc(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f353,plain,
( ~ l1_pre_topc(sk0_0)
| spl0_1 ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f354,plain,
( spl0_2
<=> v4_pre_topc(k6_pre_topc(sk0_0,sk0_2),sk0_0) ),
introduced(split_symbol_definition) ).
fof(f357,plain,
( ~ v2_pre_topc(sk0_0)
| ~ l1_pre_topc(sk0_0)
| v4_pre_topc(k6_pre_topc(sk0_0,sk0_2),sk0_0) ),
inference(resolution,[status(thm)],[f337,f87]) ).
fof(f358,plain,
( ~ spl0_0
| ~ spl0_1
| spl0_2 ),
inference(split_clause,[status(thm)],[f357,f348,f351,f354]) ).
fof(f364,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f353,f84]) ).
fof(f365,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f364]) ).
fof(f366,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f350,f83]) ).
fof(f367,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f366]) ).
fof(f373,plain,
( spl0_4
<=> v3_struct_0(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f374,plain,
( v3_struct_0(sk0_0)
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f376,plain,
( spl0_5
<=> m1_subset_1(sk0_1,k1_zfmisc_1(u1_struct_0(sk0_0))) ),
introduced(split_symbol_definition) ).
fof(f378,plain,
( ~ m1_subset_1(sk0_1,k1_zfmisc_1(u1_struct_0(sk0_0)))
| spl0_5 ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f379,plain,
( spl0_6
<=> v1_tsp_2(sk0_1,sk0_0) ),
introduced(split_symbol_definition) ).
fof(f381,plain,
( ~ v1_tsp_2(sk0_1,sk0_0)
| spl0_6 ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,plain,
( spl0_7
<=> m1_subset_1(k6_pre_topc(sk0_0,sk0_2),k1_zfmisc_1(u1_struct_0(sk0_0))) ),
introduced(split_symbol_definition) ).
fof(f384,plain,
( ~ m1_subset_1(k6_pre_topc(sk0_0,sk0_2),k1_zfmisc_1(u1_struct_0(sk0_0)))
| spl0_7 ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,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(k6_pre_topc(sk0_0,sk0_2),k1_zfmisc_1(u1_struct_0(sk0_0)))
| ~ v4_pre_topc(k6_pre_topc(sk0_0,sk0_2),sk0_0) ),
inference(resolution,[status(thm)],[f347,f88]) ).
fof(f386,plain,
( spl0_4
| ~ spl0_0
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f385,f373,f348,f351,f376,f379,f382,f354]) ).
fof(f413,plain,
( spl0_12
<=> m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_0))) ),
introduced(split_symbol_definition) ).
fof(f415,plain,
( ~ m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_0)))
| spl0_12 ),
inference(component_clause,[status(thm)],[f413]) ).
fof(f416,plain,
( ~ l1_pre_topc(sk0_0)
| ~ m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_0)))
| spl0_7 ),
inference(resolution,[status(thm)],[f384,f332]) ).
fof(f417,plain,
( ~ spl0_1
| ~ spl0_12
| spl0_7 ),
inference(split_clause,[status(thm)],[f416,f351,f413,f382]) ).
fof(f418,plain,
( $false
| spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f415,f87]) ).
fof(f419,plain,
spl0_12,
inference(contradiction_clause,[status(thm)],[f418]) ).
fof(f420,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f381,f86]) ).
fof(f421,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f420]) ).
fof(f422,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f378,f85]) ).
fof(f423,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f422]) ).
fof(f424,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f374,f82]) ).
fof(f425,plain,
~ spl0_4,
inference(contradiction_clause,[status(thm)],[f424]) ).
fof(f426,plain,
$false,
inference(sat_refutation,[status(thm)],[f358,f365,f367,f386,f417,f419,f421,f423,f425]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : TOP026+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n013.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue May 30 10:26:50 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % Drodi V3.5.1
% 0.11/0.34 % Refutation found
% 0.11/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.56 % Elapsed time: 0.015415 seconds
% 0.17/0.56 % CPU time: 0.017115 seconds
% 0.17/0.56 % Memory used: 4.018 MB
%------------------------------------------------------------------------------