%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : TOP034+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:53:28 PM UTC 2026
% Result : Theorem 0.10s 0.40s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 18
% Syntax : Number of formulae : 88 ( 15 unt; 14 def)
% Number of atoms : 374 ( 0 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 454 ( 168 ~; 200 |; 59 &)
% ( 18 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 15 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 54 ( 47 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m2_tsp_1(B,A)
& v2_tsp_2(B,A)
& ~ v3_struct_0(B) )
=> r1_borsuk_1(A,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m2_tsp_1(B,A)
& v2_tsp_2(B,A)
& ~ v3_struct_0(B) )
=> r1_borsuk_1(A,B) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f50,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m1_pre_topc(B,A)
& ~ v3_struct_0(B) )
=> ( r1_borsuk_1(A,B)
<=> ? [C] :
( v3_borsuk_1(C,A,B)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v5_pre_topc(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f86,axiom,
! [A] :
( l1_pre_topc(A)
=> ! [B] :
( m2_tsp_1(B,A)
<=> m1_pre_topc(B,A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f89,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m2_tsp_1(B,A)
& v2_tsp_2(B,A)
& ~ v3_struct_0(B) )
=> ? [C] :
( v3_borsuk_1(C,A,B)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v5_pre_topc(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f97,plain,
? [A] :
( ? [B] :
( ~ r1_borsuk_1(A,B)
& m2_tsp_1(B,A)
& v2_tsp_2(B,A)
& ~ v3_struct_0(B) )
& l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f98,plain,
( ~ r1_borsuk_1(sK0_skl,sK1_skl)
& m2_tsp_1(sK1_skl,sK0_skl)
& v2_tsp_2(sK1_skl,sK0_skl)
& ~ v3_struct_0(sK1_skl)
& l1_pre_topc(sK0_skl)
& v2_pre_topc(sK0_skl)
& ~ v3_struct_0(sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl)],[f97]) ).
fof(f99,plain,
~ v3_struct_0(sK0_skl),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f100,plain,
v2_pre_topc(sK0_skl),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f101,plain,
l1_pre_topc(sK0_skl),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f102,plain,
~ v3_struct_0(sK1_skl),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f103,plain,
v2_tsp_2(sK1_skl,sK0_skl),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f104,plain,
m2_tsp_1(sK1_skl,sK0_skl),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f105,plain,
~ r1_borsuk_1(sK0_skl,sK1_skl),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f286,plain,
! [A] :
( ! [B] :
( ( r1_borsuk_1(A,B)
<=> ? [C] :
( v3_borsuk_1(C,A,B)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v5_pre_topc(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) ) )
| ~ m1_pre_topc(B,A)
| v3_struct_0(B) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f50]) ).
fof(f287,plain,
! [A] :
( ! [B] :
( ( ( ! [C] :
( ~ v3_borsuk_1(C,A,B)
| ~ m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
| ~ v5_pre_topc(C,A,B)
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_1(C) )
| r1_borsuk_1(A,B) )
& ( ? [C] :
( v3_borsuk_1(C,A,B)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v5_pre_topc(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) )
| ~ r1_borsuk_1(A,B) ) )
| ~ m1_pre_topc(B,A)
| v3_struct_0(B) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(NNF_transformation,[status(thm)],[f286]) ).
fof(f288,plain,
! [A] :
( ! [B] :
( ( ( ! [C] :
( ~ v3_borsuk_1(C,A,B)
| ~ m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
| ~ v5_pre_topc(C,A,B)
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_1(C) )
| r1_borsuk_1(A,B) )
& ( ( v3_borsuk_1(sK2_skl(B,A),A,B)
& m2_relset_1(sK2_skl(B,A),u1_struct_0(A),u1_struct_0(B))
& v5_pre_topc(sK2_skl(B,A),A,B)
& v1_funct_2(sK2_skl(B,A),u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(sK2_skl(B,A)) )
| ~ r1_borsuk_1(A,B) ) )
| ~ m1_pre_topc(B,A)
| v3_struct_0(B) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(C,sK2_skl(B,A))],[f287]) ).
fof(f294,plain,
! [X0,X1,X2] :
( ~ v3_borsuk_1(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| r1_borsuk_1(X0,X1)
| ~ m1_pre_topc(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f288]) ).
fof(f402,plain,
! [A] :
( ! [B] :
( m2_tsp_1(B,A)
<=> m1_pre_topc(B,A) )
| ~ l1_pre_topc(A) ),
inference(pre_NNF_transformation,[status(thm)],[f86]) ).
fof(f403,plain,
! [A] :
( ! [B] :
( ( ~ m1_pre_topc(B,A)
| m2_tsp_1(B,A) )
& ( m1_pre_topc(B,A)
| ~ m2_tsp_1(B,A) ) )
| ~ l1_pre_topc(A) ),
inference(NNF_transformation,[status(thm)],[f402]) ).
fof(f404,plain,
! [A] :
( ( ! [B] :
( ~ m1_pre_topc(B,A)
| m2_tsp_1(B,A) )
& ! [B] :
( m1_pre_topc(B,A)
| ~ m2_tsp_1(B,A) ) )
| ~ l1_pre_topc(A) ),
inference(miniscoping,[status(thm)],[f403]) ).
fof(f405,plain,
! [X0,X1] :
( m1_pre_topc(X1,X0)
| ~ m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[status(thm)],[f404]) ).
fof(f411,plain,
! [A] :
( ! [B] :
( ? [C] :
( v3_borsuk_1(C,A,B)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v5_pre_topc(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) )
| ~ m2_tsp_1(B,A)
| ~ v2_tsp_2(B,A)
| v3_struct_0(B) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f89]) ).
fof(f412,plain,
! [A] :
( ! [B] :
( ( v3_borsuk_1(sK22_skl(B,A),A,B)
& m2_relset_1(sK22_skl(B,A),u1_struct_0(A),u1_struct_0(B))
& v5_pre_topc(sK22_skl(B,A),A,B)
& v1_funct_2(sK22_skl(B,A),u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(sK22_skl(B,A)) )
| ~ m2_tsp_1(B,A)
| ~ v2_tsp_2(B,A)
| v3_struct_0(B) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22_skl]),skolemize(C,sK22_skl(B,A))],[f411]) ).
fof(f413,plain,
! [X0,X1] :
( v1_funct_1(sK22_skl(X1,X0))
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f412]) ).
fof(f414,plain,
! [X0,X1] :
( v1_funct_2(sK22_skl(X1,X0),u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f412]) ).
fof(f415,plain,
! [X0,X1] :
( v5_pre_topc(sK22_skl(X1,X0),X0,X1)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f412]) ).
fof(f416,plain,
! [X0,X1] :
( m2_relset_1(sK22_skl(X1,X0),u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f412]) ).
fof(f417,plain,
! [X0,X1] :
( v3_borsuk_1(sK22_skl(X1,X0),X0,X1)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f412]) ).
fof(f439,plain,
! [X0] :
( v3_borsuk_1(sK22_skl(X0,sK0_skl),sK0_skl,X0)
| ~ m2_tsp_1(X0,sK0_skl)
| ~ v2_tsp_2(X0,sK0_skl)
| v3_struct_0(X0)
| ~ l1_pre_topc(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f417,f100]) ).
fof(f440,definition,
( sQ0_spl
<=> v3_struct_0(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f441,plain,
( ~ sQ0_spl
| v3_struct_0(sK0_skl) ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,definition,
( sQ1_spl
<=> l1_pre_topc(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f445,plain,
( sQ1_spl
| ~ l1_pre_topc(sK0_skl) ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,definition,
! [X0] :
( sQ2_spl
<=> ( v3_borsuk_1(sK22_skl(X0,sK0_skl),sK0_skl,X0)
| ~ m2_tsp_1(X0,sK0_skl)
| ~ v2_tsp_2(X0,sK0_skl)
| v3_struct_0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f447,plain,
! [X0] :
( ~ sQ2_spl
| v3_borsuk_1(sK22_skl(X0,sK0_skl),sK0_skl,X0)
| ~ m2_tsp_1(X0,sK0_skl)
| ~ v2_tsp_2(X0,sK0_skl)
| v3_struct_0(X0) ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f449,plain,
( sQ2_spl
| ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f439,f440,f443,f446]) ).
fof(f450,plain,
( ~ sQ2_spl
| v3_borsuk_1(sK22_skl(sK1_skl,sK0_skl),sK0_skl,sK1_skl)
| ~ v2_tsp_2(sK1_skl,sK0_skl)
| v3_struct_0(sK1_skl) ),
inference(resolution,[status(thm)],[f447,f104]) ).
fof(f451,definition,
( sQ3_spl
<=> v3_struct_0(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f452,plain,
( ~ sQ3_spl
| v3_struct_0(sK1_skl) ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,definition,
( sQ4_spl
<=> v2_tsp_2(sK1_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f456,plain,
( sQ4_spl
| ~ v2_tsp_2(sK1_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f457,definition,
( sQ5_spl
<=> v3_borsuk_1(sK22_skl(sK1_skl,sK0_skl),sK0_skl,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f458,plain,
( ~ sQ5_spl
| v3_borsuk_1(sK22_skl(sK1_skl,sK0_skl),sK0_skl,sK1_skl) ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f460,plain,
( ~ sQ2_spl
| sQ5_spl
| ~ sQ4_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f450,f451,f454,f457,f446]) ).
fof(f461,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f456,f103]) ).
fof(f462,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f461]) ).
fof(f463,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f452,f102]) ).
fof(f464,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f463]) ).
fof(f465,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f445,f101]) ).
fof(f466,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f465]) ).
fof(f467,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f441,f99]) ).
fof(f468,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f467]) ).
fof(f471,plain,
( ~ sQ5_spl
| ~ m2_relset_1(sK22_skl(sK1_skl,sK0_skl),u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v5_pre_topc(sK22_skl(sK1_skl,sK0_skl),sK0_skl,sK1_skl)
| ~ v1_funct_2(sK22_skl(sK1_skl,sK0_skl),u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_1(sK22_skl(sK1_skl,sK0_skl))
| r1_borsuk_1(sK0_skl,sK1_skl)
| ~ m1_pre_topc(sK1_skl,sK0_skl)
| v3_struct_0(sK1_skl)
| ~ l1_pre_topc(sK0_skl)
| ~ v2_pre_topc(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f458,f294]) ).
fof(f472,definition,
( sQ6_spl
<=> v2_pre_topc(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f474,plain,
( sQ6_spl
| ~ v2_pre_topc(sK0_skl) ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f475,definition,
( sQ7_spl
<=> m1_pre_topc(sK1_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f477,plain,
( sQ7_spl
| ~ m1_pre_topc(sK1_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f475]) ).
fof(f478,definition,
( sQ8_spl
<=> r1_borsuk_1(sK0_skl,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f479,plain,
( ~ sQ8_spl
| r1_borsuk_1(sK0_skl,sK1_skl) ),
inference(component_clause,[status(thm)],[f478]) ).
fof(f481,definition,
( sQ9_spl
<=> v1_funct_1(sK22_skl(sK1_skl,sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f483,plain,
( sQ9_spl
| ~ v1_funct_1(sK22_skl(sK1_skl,sK0_skl)) ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f484,definition,
( sQ10_spl
<=> v1_funct_2(sK22_skl(sK1_skl,sK0_skl),u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f486,plain,
( sQ10_spl
| ~ v1_funct_2(sK22_skl(sK1_skl,sK0_skl),u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)) ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,definition,
( sQ11_spl
<=> v5_pre_topc(sK22_skl(sK1_skl,sK0_skl),sK0_skl,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f489,plain,
( sQ11_spl
| ~ v5_pre_topc(sK22_skl(sK1_skl,sK0_skl),sK0_skl,sK1_skl) ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,definition,
( sQ12_spl
<=> m2_relset_1(sK22_skl(sK1_skl,sK0_skl),u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f492,plain,
( sQ12_spl
| ~ m2_relset_1(sK22_skl(sK1_skl,sK0_skl),u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)) ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f493,plain,
( ~ sQ5_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ10_spl
| ~ sQ9_spl
| sQ8_spl
| ~ sQ7_spl
| sQ3_spl
| ~ sQ1_spl
| ~ sQ6_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f471,f440,f472,f443,f451,f475,f478,f481,f484,f487,f490,f457]) ).
fof(f494,plain,
( sQ12_spl
| ~ m2_tsp_1(sK1_skl,sK0_skl)
| ~ v2_tsp_2(sK1_skl,sK0_skl)
| v3_struct_0(sK1_skl)
| ~ l1_pre_topc(sK0_skl)
| ~ v2_pre_topc(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f492,f416]) ).
fof(f495,definition,
( sQ13_spl
<=> m2_tsp_1(sK1_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f497,plain,
( sQ13_spl
| ~ m2_tsp_1(sK1_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f495]) ).
fof(f498,plain,
( sQ12_spl
| ~ sQ13_spl
| ~ sQ4_spl
| sQ3_spl
| ~ sQ1_spl
| ~ sQ6_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f494,f440,f472,f443,f451,f454,f495,f490]) ).
fof(f499,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f474,f100]) ).
fof(f500,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f499]) ).
fof(f501,plain,
( sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f497,f104]) ).
fof(f502,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f501]) ).
fof(f503,plain,
( sQ11_spl
| ~ m2_tsp_1(sK1_skl,sK0_skl)
| ~ v2_tsp_2(sK1_skl,sK0_skl)
| v3_struct_0(sK1_skl)
| ~ l1_pre_topc(sK0_skl)
| ~ v2_pre_topc(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f489,f415]) ).
fof(f504,plain,
( sQ11_spl
| ~ sQ13_spl
| ~ sQ4_spl
| sQ3_spl
| ~ sQ1_spl
| ~ sQ6_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f503,f440,f472,f443,f451,f454,f495,f487]) ).
fof(f505,plain,
( sQ10_spl
| ~ m2_tsp_1(sK1_skl,sK0_skl)
| ~ v2_tsp_2(sK1_skl,sK0_skl)
| v3_struct_0(sK1_skl)
| ~ l1_pre_topc(sK0_skl)
| ~ v2_pre_topc(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f486,f414]) ).
fof(f506,plain,
( sQ10_spl
| ~ sQ13_spl
| ~ sQ4_spl
| sQ3_spl
| ~ sQ1_spl
| ~ sQ6_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f505,f440,f472,f443,f451,f454,f495,f484]) ).
fof(f507,plain,
( sQ9_spl
| ~ m2_tsp_1(sK1_skl,sK0_skl)
| ~ v2_tsp_2(sK1_skl,sK0_skl)
| v3_struct_0(sK1_skl)
| ~ l1_pre_topc(sK0_skl)
| ~ v2_pre_topc(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f483,f413]) ).
fof(f508,plain,
( sQ9_spl
| ~ sQ13_spl
| ~ sQ4_spl
| sQ3_spl
| ~ sQ1_spl
| ~ sQ6_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f507,f440,f472,f443,f451,f454,f495,f481]) ).
fof(f509,plain,
( sQ7_spl
| ~ m2_tsp_1(sK1_skl,sK0_skl)
| ~ l1_pre_topc(sK0_skl) ),
inference(resolution,[status(thm)],[f477,f405]) ).
fof(f510,plain,
( sQ7_spl
| ~ sQ13_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f509,f443,f495,f475]) ).
fof(f511,plain,
( ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f479,f105]) ).
fof(f512,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f511]) ).
fof(f513,plain,
$false,
inference(sat_refutation,[status(thm)],[f449,f460,f462,f464,f466,f468,f493,f498,f500,f502,f504,f506,f508,f510,f512]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP034+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n008.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 12:43:10 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.43 % Elapsed time: 0.053128 seconds
% 0.10/0.43 % CPU time: 0.162953 seconds
% 0.10/0.43 % Total memory used: 62.401 MB
% 0.10/0.43 % Net memory used: 62.317 MB
%------------------------------------------------------------------------------