%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU241+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 02:19:51 PM UTC 2026
% Result : Theorem 0.15s 0.56s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 19
% Syntax : Number of formulae : 91 ( 9 unt; 14 def)
% Number of atoms : 310 ( 26 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 375 ( 156 ~; 156 |; 33 &)
% ( 20 <=>; 9 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 15 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 85 ( 77 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [A] :
( relation(A)
=> ( antisymmetric(A)
<=> is_antisymmetric_in(A,relation_field(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A] :
( relation(A)
=> ! [B] :
( is_antisymmetric_in(A,B)
<=> ! [C,D] :
( ( in(ordered_pair(D,C),A)
& in(ordered_pair(C,D),A)
& in(D,B)
& in(C,B) )
=> C = D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [A,B] : ~ empty(ordered_pair(A,B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,conjecture,
! [A] :
( relation(A)
=> ( antisymmetric(A)
<=> ! [B,C] :
( ( in(ordered_pair(C,B),A)
& in(ordered_pair(B,C),A) )
=> B = C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
~ ! [A] :
( relation(A)
=> ( antisymmetric(A)
<=> ! [B,C] :
( ( in(ordered_pair(C,B),A)
& in(ordered_pair(B,C),A) )
=> B = C ) ) ),
inference(negated_conjecture,[status(cth)],[f25]) ).
fof(f35,axiom,
! [A,B,C] :
( relation(C)
=> ( in(ordered_pair(A,B),C)
=> ( in(B,relation_field(C))
& in(A,relation_field(C)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,plain,
! [A] :
( ( antisymmetric(A)
<=> is_antisymmetric_in(A,relation_field(A)) )
| ~ relation(A) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f50,plain,
! [A] :
( ( ( ~ is_antisymmetric_in(A,relation_field(A))
| antisymmetric(A) )
& ( is_antisymmetric_in(A,relation_field(A))
| ~ antisymmetric(A) ) )
| ~ relation(A) ),
inference(NNF_transformation,[status(thm)],[f49]) ).
fof(f51,plain,
! [X0] :
( is_antisymmetric_in(X0,relation_field(X0))
| ~ antisymmetric(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f52,plain,
! [X0] :
( ~ is_antisymmetric_in(X0,relation_field(X0))
| antisymmetric(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f53,plain,
! [A] :
( ! [B] :
( is_antisymmetric_in(A,B)
<=> ! [C,D] :
( C = D
| ~ in(ordered_pair(D,C),A)
| ~ in(ordered_pair(C,D),A)
| ~ in(D,B)
| ~ in(C,B) ) )
| ~ relation(A) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f54,plain,
! [A] :
( ! [B] :
( ( ? [C,D] :
( C != D
& in(ordered_pair(D,C),A)
& in(ordered_pair(C,D),A)
& in(D,B)
& in(C,B) )
| is_antisymmetric_in(A,B) )
& ( ! [C,D] :
( C = D
| ~ in(ordered_pair(D,C),A)
| ~ in(ordered_pair(C,D),A)
| ~ in(D,B)
| ~ in(C,B) )
| ~ is_antisymmetric_in(A,B) ) )
| ~ relation(A) ),
inference(NNF_transformation,[status(thm)],[f53]) ).
fof(f55,plain,
! [A] :
( ( ! [B] :
( ? [C,D] :
( C != D
& in(ordered_pair(D,C),A)
& in(ordered_pair(C,D),A)
& in(D,B)
& in(C,B) )
| is_antisymmetric_in(A,B) )
& ! [B] :
( ! [C,D] :
( C = D
| ~ in(ordered_pair(D,C),A)
| ~ in(ordered_pair(C,D),A)
| ~ in(D,B)
| ~ in(C,B) )
| ~ is_antisymmetric_in(A,B) ) )
| ~ relation(A) ),
inference(miniscoping,[status(thm)],[f54]) ).
fof(f56,plain,
! [A] :
( ( ! [B] :
( ( sK0_skl(B,A) != sK1_skl(B,A)
& in(ordered_pair(sK1_skl(B,A),sK0_skl(B,A)),A)
& in(ordered_pair(sK0_skl(B,A),sK1_skl(B,A)),A)
& in(sK1_skl(B,A),B)
& in(sK0_skl(B,A),B) )
| is_antisymmetric_in(A,B) )
& ! [B] :
( ! [C,D] :
( C = D
| ~ in(ordered_pair(D,C),A)
| ~ in(ordered_pair(C,D),A)
| ~ in(D,B)
| ~ in(C,B) )
| ~ is_antisymmetric_in(A,B) ) )
| ~ relation(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(C,sK0_skl(B,A)),skolemize(D,sK1_skl(B,A))],[f55]) ).
fof(f57,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ in(ordered_pair(X3,X2),X0)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(X3,X1)
| ~ in(X2,X1)
| ~ is_antisymmetric_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f60,plain,
! [X0,X1] :
( in(ordered_pair(sK0_skl(X1,X0),sK1_skl(X1,X0)),X0)
| is_antisymmetric_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f61,plain,
! [X0,X1] :
( in(ordered_pair(sK1_skl(X1,X0),sK0_skl(X1,X0)),X0)
| is_antisymmetric_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f62,plain,
! [X0,X1] :
( sK0_skl(X1,X0) != sK1_skl(X1,X0)
| is_antisymmetric_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f69,plain,
! [X0,X1] : ~ empty(ordered_pair(X0,X1)),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f78,plain,
? [A] :
( ( antisymmetric(A)
<~> ! [B,C] :
( B = C
| ~ in(ordered_pair(C,B),A)
| ~ in(ordered_pair(B,C),A) ) )
& relation(A) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f79,plain,
? [A] :
( ( ? [B,C] :
( B != C
& in(ordered_pair(C,B),A)
& in(ordered_pair(B,C),A) )
| ~ antisymmetric(A) )
& ( ! [B,C] :
( B = C
| ~ in(ordered_pair(C,B),A)
| ~ in(ordered_pair(B,C),A) )
| antisymmetric(A) )
& relation(A) ),
inference(NNF_transformation,[status(thm)],[f78]) ).
fof(f80,plain,
( ( ( sK4_skl != sK5_skl
& in(ordered_pair(sK5_skl,sK4_skl),sK3_skl)
& in(ordered_pair(sK4_skl,sK5_skl),sK3_skl) )
| ~ antisymmetric(sK3_skl) )
& ( ! [B,C] :
( B = C
| ~ in(ordered_pair(C,B),sK3_skl)
| ~ in(ordered_pair(B,C),sK3_skl) )
| antisymmetric(sK3_skl) )
& relation(sK3_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl]),skolemize(A,sK3_skl),skolemize(B,sK4_skl),skolemize(C,sK5_skl)],[f79]) ).
fof(f81,plain,
relation(sK3_skl),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f82,plain,
! [X0,X1] :
( X0 = X1
| ~ in(ordered_pair(X1,X0),sK3_skl)
| ~ in(ordered_pair(X0,X1),sK3_skl)
| antisymmetric(sK3_skl) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f83,plain,
( in(ordered_pair(sK4_skl,sK5_skl),sK3_skl)
| ~ antisymmetric(sK3_skl) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f84,plain,
( in(ordered_pair(sK5_skl,sK4_skl),sK3_skl)
| ~ antisymmetric(sK3_skl) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f85,plain,
( sK4_skl != sK5_skl
| ~ antisymmetric(sK3_skl) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f106,plain,
! [A,B,C] :
( ( in(B,relation_field(C))
& in(A,relation_field(C)) )
| ~ in(ordered_pair(A,B),C)
| ~ relation(C) ),
inference(pre_NNF_transformation,[status(thm)],[f35]) ).
fof(f107,plain,
! [C] :
( ! [A,B] :
( ( in(B,relation_field(C))
& in(A,relation_field(C)) )
| ~ in(ordered_pair(A,B),C) )
| ~ relation(C) ),
inference(miniscoping,[status(thm)],[f106]) ).
fof(f109,plain,
! [X0,X1,X2] :
( in(X2,relation_field(X0))
| ~ in(ordered_pair(X1,X2),X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f118,definition,
( sQ0_spl
<=> antisymmetric(sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f120,plain,
( sQ0_spl
| ~ antisymmetric(sK3_skl) ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f121,definition,
! [X0,X1] :
( sQ1_spl
<=> ( X0 = X1
| ~ in(ordered_pair(X1,X0),sK3_skl)
| ~ in(ordered_pair(X0,X1),sK3_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f122,plain,
! [X0,X1] :
( ~ sQ1_spl
| X0 = X1
| ~ in(ordered_pair(X1,X0),sK3_skl)
| ~ in(ordered_pair(X0,X1),sK3_skl) ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f124,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f82,f118,f121]) ).
fof(f125,definition,
( sQ2_spl
<=> in(ordered_pair(sK4_skl,sK5_skl),sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f128,plain,
( sQ2_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f83,f118,f125]) ).
fof(f129,definition,
( sQ3_spl
<=> in(ordered_pair(sK5_skl,sK4_skl),sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f130,plain,
( ~ sQ3_spl
| in(ordered_pair(sK5_skl,sK4_skl),sK3_skl) ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f132,plain,
( sQ3_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f84,f118,f129]) ).
fof(f133,definition,
( sQ4_spl
<=> sK4_skl = sK5_skl ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f135,plain,
( sQ4_spl
| sK4_skl != sK5_skl ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f136,plain,
( ~ sQ4_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f85,f118,f133]) ).
fof(f160,plain,
( sQ0_spl
| ~ is_antisymmetric_in(sK3_skl,relation_field(sK3_skl))
| ~ relation(sK3_skl) ),
inference(resolution,[status(thm)],[f52,f120]) ).
fof(f161,definition,
( sQ5_spl
<=> relation(sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f163,plain,
( sQ5_spl
| ~ relation(sK3_skl) ),
inference(component_clause,[status(thm)],[f161]) ).
fof(f164,definition,
( sQ6_spl
<=> is_antisymmetric_in(sK3_skl,relation_field(sK3_skl)) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f166,plain,
( sQ6_spl
| ~ is_antisymmetric_in(sK3_skl,relation_field(sK3_skl)) ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f167,plain,
( sQ0_spl
| ~ sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f160,f161,f164,f118]) ).
fof(f176,definition,
( sQ8_spl
<=> empty(ordered_pair(sK4_skl,sK5_skl)) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f177,plain,
( ~ sQ8_spl
| empty(ordered_pair(sK4_skl,sK5_skl)) ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f184,definition,
( sQ10_spl
<=> empty(ordered_pair(sK5_skl,sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f185,plain,
( ~ sQ10_spl
| empty(ordered_pair(sK5_skl,sK4_skl)) ),
inference(component_clause,[status(thm)],[f184]) ).
fof(f201,plain,
! [X0,X1] :
( sQ4_spl
| ~ in(ordered_pair(sK5_skl,sK4_skl),X0)
| ~ in(ordered_pair(sK4_skl,sK5_skl),X0)
| ~ in(sK5_skl,X1)
| ~ in(sK4_skl,X1)
| ~ is_antisymmetric_in(X0,X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f57,f135]) ).
fof(f203,plain,
! [X0] :
( sQ4_spl
| ~ antisymmetric(X0)
| ~ relation(X0)
| ~ in(ordered_pair(sK5_skl,sK4_skl),X0)
| ~ in(ordered_pair(sK4_skl,sK5_skl),X0)
| ~ in(sK5_skl,relation_field(X0))
| ~ in(sK4_skl,relation_field(X0))
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f201,f51]) ).
fof(f210,plain,
! [X0] :
( sQ4_spl
| ~ antisymmetric(X0)
| ~ in(ordered_pair(sK5_skl,sK4_skl),X0)
| ~ in(ordered_pair(sK4_skl,sK5_skl),X0)
| ~ in(sK5_skl,relation_field(X0))
| ~ in(sK4_skl,relation_field(X0))
| ~ relation(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f203]) ).
fof(f211,plain,
! [X0] :
( sQ4_spl
| ~ antisymmetric(X0)
| ~ in(ordered_pair(sK5_skl,sK4_skl),X0)
| ~ in(ordered_pair(sK4_skl,sK5_skl),X0)
| ~ in(sK5_skl,relation_field(X0))
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f210,f109]) ).
fof(f221,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f163,f81]) ).
fof(f222,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f221]) ).
fof(f223,plain,
( sQ6_spl
| ~ antisymmetric(sK3_skl)
| ~ relation(sK3_skl) ),
inference(resolution,[status(thm)],[f166,f51]) ).
fof(f228,plain,
( sQ6_spl
| ~ sQ0_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f223,f161,f118,f164]) ).
fof(f275,plain,
( ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f185,f69]) ).
fof(f276,plain,
~ sQ10_spl,
inference(contradiction_clause,[status(thm)],[f275]) ).
fof(f277,plain,
( ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f177,f69]) ).
fof(f278,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f277]) ).
fof(f310,plain,
( sQ6_spl
| sK0_skl(relation_field(sK3_skl),sK3_skl) != sK1_skl(relation_field(sK3_skl),sK3_skl)
| ~ relation(sK3_skl) ),
inference(resolution,[status(thm)],[f62,f166]) ).
fof(f311,definition,
( sQ29_spl
<=> sK0_skl(relation_field(sK3_skl),sK3_skl) = sK1_skl(relation_field(sK3_skl),sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f313,plain,
( sQ29_spl
| sK0_skl(relation_field(sK3_skl),sK3_skl) != sK1_skl(relation_field(sK3_skl),sK3_skl) ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f314,plain,
( sQ6_spl
| ~ sQ29_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f310,f161,f311,f164]) ).
fof(f335,definition,
( sQ32_spl
<=> empty(ordered_pair(sK1_skl(relation_field(sK3_skl),sK3_skl),sK0_skl(relation_field(sK3_skl),sK3_skl))) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f336,plain,
( ~ sQ32_spl
| empty(ordered_pair(sK1_skl(relation_field(sK3_skl),sK3_skl),sK0_skl(relation_field(sK3_skl),sK3_skl))) ),
inference(component_clause,[status(thm)],[f335]) ).
fof(f339,plain,
( ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f336,f69]) ).
fof(f340,plain,
~ sQ32_spl,
inference(contradiction_clause,[status(thm)],[f339]) ).
fof(f345,definition,
( sQ34_spl
<=> empty(ordered_pair(sK0_skl(relation_field(sK3_skl),sK3_skl),sK1_skl(relation_field(sK3_skl),sK3_skl))) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f346,plain,
( ~ sQ34_spl
| empty(ordered_pair(sK0_skl(relation_field(sK3_skl),sK3_skl),sK1_skl(relation_field(sK3_skl),sK3_skl))) ),
inference(component_clause,[status(thm)],[f345]) ).
fof(f349,plain,
( ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f346,f69]) ).
fof(f350,plain,
~ sQ34_spl,
inference(contradiction_clause,[status(thm)],[f349]) ).
fof(f387,plain,
( ~ sQ1_spl
| sQ29_spl
| ~ in(ordered_pair(sK1_skl(relation_field(sK3_skl),sK3_skl),sK0_skl(relation_field(sK3_skl),sK3_skl)),sK3_skl)
| ~ in(ordered_pair(sK0_skl(relation_field(sK3_skl),sK3_skl),sK1_skl(relation_field(sK3_skl),sK3_skl)),sK3_skl) ),
inference(resolution,[status(thm)],[f313,f122]) ).
fof(f391,definition,
( sQ43_spl
<=> in(ordered_pair(sK0_skl(relation_field(sK3_skl),sK3_skl),sK1_skl(relation_field(sK3_skl),sK3_skl)),sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f393,plain,
( sQ43_spl
| ~ in(ordered_pair(sK0_skl(relation_field(sK3_skl),sK3_skl),sK1_skl(relation_field(sK3_skl),sK3_skl)),sK3_skl) ),
inference(component_clause,[status(thm)],[f391]) ).
fof(f394,definition,
( sQ44_spl
<=> in(ordered_pair(sK1_skl(relation_field(sK3_skl),sK3_skl),sK0_skl(relation_field(sK3_skl),sK3_skl)),sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f396,plain,
( sQ44_spl
| ~ in(ordered_pair(sK1_skl(relation_field(sK3_skl),sK3_skl),sK0_skl(relation_field(sK3_skl),sK3_skl)),sK3_skl) ),
inference(component_clause,[status(thm)],[f394]) ).
fof(f397,plain,
( ~ sQ1_spl
| sQ29_spl
| ~ sQ44_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f387,f391,f394,f311,f121]) ).
fof(f407,plain,
( sQ43_spl
| is_antisymmetric_in(sK3_skl,relation_field(sK3_skl))
| ~ relation(sK3_skl) ),
inference(resolution,[status(thm)],[f393,f60]) ).
fof(f409,plain,
( sQ43_spl
| sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f407,f161,f164,f391]) ).
fof(f414,plain,
( sQ44_spl
| is_antisymmetric_in(sK3_skl,relation_field(sK3_skl))
| ~ relation(sK3_skl) ),
inference(resolution,[status(thm)],[f396,f61]) ).
fof(f416,plain,
( sQ44_spl
| sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f414,f161,f164,f394]) ).
fof(f421,plain,
! [X0] :
( sQ4_spl
| ~ antisymmetric(X0)
| ~ in(ordered_pair(sK5_skl,sK4_skl),X0)
| ~ in(ordered_pair(sK4_skl,sK5_skl),X0)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f211,f109]) ).
fof(f470,plain,
( ~ sQ3_spl
| sQ4_spl
| ~ antisymmetric(sK3_skl)
| ~ in(ordered_pair(sK4_skl,sK5_skl),sK3_skl)
| ~ relation(sK3_skl) ),
inference(resolution,[status(thm)],[f421,f130]) ).
fof(f472,plain,
( ~ sQ3_spl
| sQ4_spl
| ~ sQ0_spl
| ~ sQ2_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f470,f161,f125,f118,f133,f129]) ).
fof(f474,plain,
$false,
inference(sat_refutation,[status(thm)],[f124,f128,f132,f136,f167,f222,f228,f276,f278,f314,f340,f350,f397,f409,f416,f472]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU241+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.52 % Computer : n013.cluster.edu
% 0.09/0.52 % Model : x86_64 x86_64
% 0.09/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.52 % Memory : 8046.5625MB
% 0.09/0.52 % OS : Linux 6.8.0-71-generic
% 0.09/0.52 % CPULimit : 300
% 0.09/0.52 % WCLimit : 300
% 0.09/0.52 % DateTime : Mon Sep 21 06:02:06 UTC 2026
% 0.09/0.52 % CPUTime :
% 0.09/0.54 % Drodi V4.1.1
% 0.15/0.56 % Refutation found
% 0.15/0.56 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.60 % Elapsed time: 0.057221 seconds
% 0.15/0.60 % CPU time: 0.162605 seconds
% 0.15/0.60 % Total memory used: 103.492 MB
% 0.15/0.60 % Net memory used: 103.426 MB
%------------------------------------------------------------------------------