%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU190+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 : n019.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 02:19:35 PM UTC 2026
% Result : Theorem 60.91s 8.25s
% Output : CNFRefutation 60.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 7
% Syntax : Number of formulae : 78 ( 7 unt; 2 def)
% Number of atoms : 300 ( 109 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 349 ( 127 ~; 168 |; 37 &)
% ( 14 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 2 con; 0-3 aty)
% Number of variables : 191 ( 168 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [A,B] :
( relation(B)
=> ( B = identity_relation(A)
<=> ! [C,D] :
( in(ordered_pair(C,D),B)
<=> ( C = D
& in(C,A) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A] :
( relation(A)
=> ! [B] :
( B = relation_dom(A)
<=> ! [C] :
( in(C,B)
<=> ? [D] : in(ordered_pair(C,D),A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] :
( relation(A)
=> ! [B] :
( B = relation_rng(A)
<=> ! [C] :
( in(C,B)
<=> ? [D] : in(ordered_pair(D,C),A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [A] : relation(identity_relation(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,conjecture,
! [A] :
( relation_rng(identity_relation(A)) = A
& relation_dom(identity_relation(A)) = A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
~ ! [A] :
( relation_rng(identity_relation(A)) = A
& relation_dom(identity_relation(A)) = A ),
inference(negated_conjecture,[status(cth)],[f34]) ).
fof(f43,plain,
! [A,B] :
( ( B = identity_relation(A)
<=> ! [C,D] :
( in(ordered_pair(C,D),B)
<=> ( C = D
& in(C,A) ) ) )
| ~ relation(B) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f44,plain,
! [A,B] :
( ( ( ? [C,D] :
( ( ( C = D
& in(C,A) )
| in(ordered_pair(C,D),B) )
& ( C != D
| ~ in(C,A)
| ~ in(ordered_pair(C,D),B) ) )
| B = identity_relation(A) )
& ( ! [C,D] :
( ( C != D
| ~ in(C,A)
| in(ordered_pair(C,D),B) )
& ( ( C = D
& in(C,A) )
| ~ in(ordered_pair(C,D),B) ) )
| B != identity_relation(A) ) )
| ~ relation(B) ),
inference(NNF_transformation,[status(thm)],[f43]) ).
fof(f45,plain,
! [B] :
( ( ! [A] :
( ? [C,D] :
( ( ( C = D
& in(C,A) )
| in(ordered_pair(C,D),B) )
& ( C != D
| ~ in(C,A)
| ~ in(ordered_pair(C,D),B) ) )
| B = identity_relation(A) )
& ! [A] :
( ( ! [C,D] :
( C != D
| ~ in(C,A)
| in(ordered_pair(C,D),B) )
& ! [C,D] :
( ( C = D
& in(C,A) )
| ~ in(ordered_pair(C,D),B) ) )
| B != identity_relation(A) ) )
| ~ relation(B) ),
inference(miniscoping,[status(thm)],[f44]) ).
fof(f46,plain,
! [B] :
( ( ! [A] :
( ( ( ( sK0_skl(A,B) = sK1_skl(A,B)
& in(sK0_skl(A,B),A) )
| in(ordered_pair(sK0_skl(A,B),sK1_skl(A,B)),B) )
& ( sK0_skl(A,B) != sK1_skl(A,B)
| ~ in(sK0_skl(A,B),A)
| ~ in(ordered_pair(sK0_skl(A,B),sK1_skl(A,B)),B) ) )
| B = identity_relation(A) )
& ! [A] :
( ( ! [C,D] :
( C != D
| ~ in(C,A)
| in(ordered_pair(C,D),B) )
& ! [C,D] :
( ( C = D
& in(C,A) )
| ~ in(ordered_pair(C,D),B) ) )
| B != identity_relation(A) ) )
| ~ relation(B) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(C,sK0_skl(A,B)),skolemize(D,sK1_skl(A,B))],[f45]) ).
fof(f47,plain,
! [X0,X1,X2,X3] :
( in(X2,X1)
| ~ in(ordered_pair(X2,X3),X0)
| X0 != identity_relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f48,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ in(ordered_pair(X2,X3),X0)
| X0 != identity_relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f49,plain,
! [X0,X1,X2,X3] :
( X2 != X3
| ~ in(X2,X1)
| in(ordered_pair(X2,X3),X0)
| X0 != identity_relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f53,plain,
! [A] :
( ! [B] :
( B = relation_dom(A)
<=> ! [C] :
( in(C,B)
<=> ? [D] : in(ordered_pair(C,D),A) ) )
| ~ relation(A) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f54,plain,
! [A] :
( ! [B] :
( ( ? [C] :
( ( ? [D] : in(ordered_pair(C,D),A)
| in(C,B) )
& ( ! [D] : ~ in(ordered_pair(C,D),A)
| ~ in(C,B) ) )
| B = relation_dom(A) )
& ( ! [C] :
( ( ! [D] : ~ in(ordered_pair(C,D),A)
| in(C,B) )
& ( ? [D] : in(ordered_pair(C,D),A)
| ~ in(C,B) ) )
| B != relation_dom(A) ) )
| ~ relation(A) ),
inference(NNF_transformation,[status(thm)],[f53]) ).
fof(f55,plain,
! [A] :
( ( ! [B] :
( ? [C] :
( ( ? [D] : in(ordered_pair(C,D),A)
| in(C,B) )
& ( ! [D] : ~ in(ordered_pair(C,D),A)
| ~ in(C,B) ) )
| B = relation_dom(A) )
& ! [B] :
( ( ! [C] :
( ! [D] : ~ in(ordered_pair(C,D),A)
| in(C,B) )
& ! [C] :
( ? [D] : in(ordered_pair(C,D),A)
| ~ in(C,B) ) )
| B != relation_dom(A) ) )
| ~ relation(A) ),
inference(miniscoping,[status(thm)],[f54]) ).
fof(f56,plain,
! [A] :
( ( ! [B] :
( ( ( in(ordered_pair(sK3_skl(B,A),sK4_skl(B,A)),A)
| in(sK3_skl(B,A),B) )
& ( ! [D] : ~ in(ordered_pair(sK3_skl(B,A),D),A)
| ~ in(sK3_skl(B,A),B) ) )
| B = relation_dom(A) )
& ! [B] :
( ( ! [C] :
( ! [D] : ~ in(ordered_pair(C,D),A)
| in(C,B) )
& ! [C] :
( in(ordered_pair(C,sK2_skl(C,B,A)),A)
| ~ in(C,B) ) )
| B != relation_dom(A) ) )
| ~ relation(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl]),skolemize(D,sK2_skl(C,B,A)),skolemize(C,sK3_skl(B,A)),skolemize(D,sK4_skl(B,A))],[f55]) ).
fof(f59,plain,
! [X0,X1,X2] :
( ~ in(ordered_pair(sK3_skl(X1,X0),X2),X0)
| ~ in(sK3_skl(X1,X0),X1)
| X1 = relation_dom(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f60,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(X1,X0),sK4_skl(X1,X0)),X0)
| in(sK3_skl(X1,X0),X1)
| X1 = relation_dom(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f61,plain,
! [A] :
( ! [B] :
( B = relation_rng(A)
<=> ! [C] :
( in(C,B)
<=> ? [D] : in(ordered_pair(D,C),A) ) )
| ~ relation(A) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f62,plain,
! [A] :
( ! [B] :
( ( ? [C] :
( ( ? [D] : in(ordered_pair(D,C),A)
| in(C,B) )
& ( ! [D] : ~ in(ordered_pair(D,C),A)
| ~ in(C,B) ) )
| B = relation_rng(A) )
& ( ! [C] :
( ( ! [D] : ~ in(ordered_pair(D,C),A)
| in(C,B) )
& ( ? [D] : in(ordered_pair(D,C),A)
| ~ in(C,B) ) )
| B != relation_rng(A) ) )
| ~ relation(A) ),
inference(NNF_transformation,[status(thm)],[f61]) ).
fof(f63,plain,
! [A] :
( ( ! [B] :
( ? [C] :
( ( ? [D] : in(ordered_pair(D,C),A)
| in(C,B) )
& ( ! [D] : ~ in(ordered_pair(D,C),A)
| ~ in(C,B) ) )
| B = relation_rng(A) )
& ! [B] :
( ( ! [C] :
( ! [D] : ~ in(ordered_pair(D,C),A)
| in(C,B) )
& ! [C] :
( ? [D] : in(ordered_pair(D,C),A)
| ~ in(C,B) ) )
| B != relation_rng(A) ) )
| ~ relation(A) ),
inference(miniscoping,[status(thm)],[f62]) ).
fof(f64,plain,
! [A] :
( ( ! [B] :
( ( ( in(ordered_pair(sK7_skl(B,A),sK6_skl(B,A)),A)
| in(sK6_skl(B,A),B) )
& ( ! [D] : ~ in(ordered_pair(D,sK6_skl(B,A)),A)
| ~ in(sK6_skl(B,A),B) ) )
| B = relation_rng(A) )
& ! [B] :
( ( ! [C] :
( ! [D] : ~ in(ordered_pair(D,C),A)
| in(C,B) )
& ! [C] :
( in(ordered_pair(sK5_skl(C,B,A),C),A)
| ~ in(C,B) ) )
| B != relation_rng(A) ) )
| ~ relation(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl,sK6_skl,sK7_skl]),skolemize(D,sK5_skl(C,B,A)),skolemize(C,sK6_skl(B,A)),skolemize(D,sK7_skl(B,A))],[f63]) ).
fof(f66,plain,
! [X0,X1,X2,X3] :
( ~ in(ordered_pair(X3,X2),X0)
| in(X2,X1)
| X1 != relation_rng(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ~ in(ordered_pair(X2,sK6_skl(X1,X0)),X0)
| ~ in(sK6_skl(X1,X0),X1)
| X1 = relation_rng(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f68,plain,
! [X0,X1] :
( in(ordered_pair(sK7_skl(X1,X0),sK6_skl(X1,X0)),X0)
| in(sK6_skl(X1,X0),X1)
| X1 = relation_rng(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f70,plain,
! [X0] : relation(identity_relation(X0)),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f110,plain,
? [A] :
( relation_rng(identity_relation(A)) != A
| relation_dom(identity_relation(A)) != A ),
inference(pre_NNF_transformation,[status(thm)],[f35]) ).
fof(f111,plain,
( ? [A] : relation_rng(identity_relation(A)) != A
| ? [A] : relation_dom(identity_relation(A)) != A ),
inference(miniscoping,[status(thm)],[f110]) ).
fof(f112,plain,
( relation_rng(identity_relation(sK15_skl)) != sK15_skl
| relation_dom(identity_relation(sK14_skl)) != sK14_skl ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14_skl,sK15_skl]),skolemize(A,sK14_skl),skolemize(A,sK15_skl)],[f111]) ).
fof(f113,plain,
( relation_rng(identity_relation(sK15_skl)) != sK15_skl
| relation_dom(identity_relation(sK14_skl)) != sK14_skl ),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f120,definition,
( sQ0_spl
<=> relation_dom(identity_relation(sK14_skl)) = sK14_skl ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f122,plain,
( sQ0_spl
| relation_dom(identity_relation(sK14_skl)) != sK14_skl ),
inference(component_clause,[status(thm)],[f120]) ).
fof(f123,definition,
( sQ1_spl
<=> relation_rng(identity_relation(sK15_skl)) = sK15_skl ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f125,plain,
( sQ1_spl
| relation_rng(identity_relation(sK15_skl)) != sK15_skl ),
inference(component_clause,[status(thm)],[f123]) ).
fof(f126,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f113,f120,f123]) ).
fof(f127,plain,
! [X0,X1,X2] :
( in(X1,X0)
| ~ in(ordered_pair(X1,X2),identity_relation(X0))
| ~ relation(identity_relation(X0)) ),
inference(destructive_equality_resolution,[status(thm)],[f47]) ).
fof(f128,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ in(ordered_pair(X1,X2),identity_relation(X0))
| ~ relation(identity_relation(X0)) ),
inference(destructive_equality_resolution,[status(thm)],[f48]) ).
fof(f129,plain,
! [X0,X1] :
( ~ in(X1,X0)
| in(ordered_pair(X1,X1),identity_relation(X0))
| ~ relation(identity_relation(X0)) ),
inference(destructive_equality_resolution,[status(thm)],[f49]) ).
fof(f133,plain,
! [X0,X1,X2] :
( ~ in(ordered_pair(X2,X1),X0)
| in(X1,relation_rng(X0))
| ~ relation(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f66]) ).
fof(f134,plain,
! [X0,X1,X2] :
( in(X0,X2)
| ~ in(ordered_pair(X0,X1),identity_relation(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[f127,f70]) ).
fof(f135,plain,
! [X0,X1,X2] :
( X0 = X1
| ~ in(ordered_pair(X0,X1),identity_relation(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[f128,f70]) ).
fof(f136,plain,
! [X0,X1] :
( ~ in(X0,X1)
| in(ordered_pair(X0,X0),identity_relation(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f129,f70]) ).
fof(f156,plain,
! [X0,X1,X2] :
( ~ in(ordered_pair(X2,X0),identity_relation(X1))
| in(X0,relation_rng(identity_relation(X1))) ),
inference(resolution,[status(thm)],[f133,f70]) ).
fof(f213,plain,
! [X0,X1,X2] :
( ~ in(ordered_pair(sK3_skl(X0,identity_relation(X1)),X2),identity_relation(X1))
| ~ in(sK3_skl(X0,identity_relation(X1)),X0)
| X0 = relation_dom(identity_relation(X1)) ),
inference(resolution,[status(thm)],[f59,f70]) ).
fof(f219,plain,
! [X0,X1] :
( in(ordered_pair(sK3_skl(X0,identity_relation(X1)),sK4_skl(X0,identity_relation(X1))),identity_relation(X1))
| in(sK3_skl(X0,identity_relation(X1)),X0)
| X0 = relation_dom(identity_relation(X1)) ),
inference(resolution,[status(thm)],[f60,f70]) ).
fof(f312,plain,
! [X0,X1,X2] :
( ~ in(ordered_pair(X2,sK6_skl(X0,identity_relation(X1))),identity_relation(X1))
| ~ in(sK6_skl(X0,identity_relation(X1)),X0)
| X0 = relation_rng(identity_relation(X1)) ),
inference(resolution,[status(thm)],[f67,f70]) ).
fof(f319,plain,
! [X0,X1] :
( in(ordered_pair(sK7_skl(X0,identity_relation(X1)),sK6_skl(X0,identity_relation(X1))),identity_relation(X1))
| in(sK6_skl(X0,identity_relation(X1)),X0)
| X0 = relation_rng(identity_relation(X1)) ),
inference(resolution,[status(thm)],[f68,f70]) ).
fof(f653,plain,
! [X0,X1] :
( ~ in(sK3_skl(X0,identity_relation(X1)),X1)
| ~ in(sK3_skl(X0,identity_relation(X1)),X0)
| X0 = relation_dom(identity_relation(X1)) ),
inference(resolution,[status(thm)],[f213,f136]) ).
fof(f721,plain,
! [X0,X1] :
( in(sK4_skl(X0,identity_relation(X1)),relation_rng(identity_relation(X1)))
| in(sK3_skl(X0,identity_relation(X1)),X0)
| X0 = relation_dom(identity_relation(X1)) ),
inference(resolution,[status(thm)],[f219,f156]) ).
fof(f723,plain,
! [X0,X1] :
( sK3_skl(X0,identity_relation(X1)) = sK4_skl(X0,identity_relation(X1))
| in(sK3_skl(X0,identity_relation(X1)),X0)
| X0 = relation_dom(identity_relation(X1)) ),
inference(resolution,[status(thm)],[f219,f135]) ).
fof(f821,plain,
! [X0,X1] :
( ~ in(sK6_skl(X0,identity_relation(X1)),X1)
| ~ in(sK6_skl(X0,identity_relation(X1)),X0)
| X0 = relation_rng(identity_relation(X1)) ),
inference(resolution,[status(thm)],[f312,f136]) ).
fof(f932,plain,
! [X0,X1] :
( sK7_skl(X0,identity_relation(X1)) = sK6_skl(X0,identity_relation(X1))
| in(sK6_skl(X0,identity_relation(X1)),X0)
| X0 = relation_rng(identity_relation(X1)) ),
inference(resolution,[status(thm)],[f319,f135]) ).
fof(f933,plain,
! [X0,X1] :
( in(sK7_skl(X0,identity_relation(X1)),X1)
| in(sK6_skl(X0,identity_relation(X1)),X0)
| X0 = relation_rng(identity_relation(X1)) ),
inference(resolution,[status(thm)],[f319,f134]) ).
fof(f2184,plain,
! [X0] :
( ~ in(sK3_skl(X0,identity_relation(X0)),X0)
| X0 = relation_dom(identity_relation(X0))
| sK3_skl(X0,identity_relation(X0)) = sK4_skl(X0,identity_relation(X0))
| X0 = relation_dom(identity_relation(X0)) ),
inference(resolution,[status(thm)],[f723,f653]) ).
fof(f2197,plain,
! [X0] :
( ~ in(sK3_skl(X0,identity_relation(X0)),X0)
| sK3_skl(X0,identity_relation(X0)) = sK4_skl(X0,identity_relation(X0))
| X0 = relation_dom(identity_relation(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f2184]) ).
fof(f2198,plain,
! [X0] :
( sK3_skl(X0,identity_relation(X0)) = sK4_skl(X0,identity_relation(X0))
| X0 = relation_dom(identity_relation(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2197,f723]) ).
fof(f3488,plain,
! [X0] :
( ~ in(sK6_skl(X0,identity_relation(X0)),X0)
| X0 = relation_rng(identity_relation(X0))
| sK7_skl(X0,identity_relation(X0)) = sK6_skl(X0,identity_relation(X0))
| X0 = relation_rng(identity_relation(X0)) ),
inference(resolution,[status(thm)],[f932,f821]) ).
fof(f3504,plain,
! [X0] :
( ~ in(sK6_skl(X0,identity_relation(X0)),X0)
| sK7_skl(X0,identity_relation(X0)) = sK6_skl(X0,identity_relation(X0))
| X0 = relation_rng(identity_relation(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f3488]) ).
fof(f3505,plain,
! [X0] :
( sK7_skl(X0,identity_relation(X0)) = sK6_skl(X0,identity_relation(X0))
| X0 = relation_rng(identity_relation(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f3504,f932]) ).
fof(f7858,plain,
! [X0] :
( X0 = relation_rng(identity_relation(X0))
| in(sK6_skl(X0,identity_relation(X0)),X0)
| in(sK6_skl(X0,identity_relation(X0)),X0)
| X0 = relation_rng(identity_relation(X0)) ),
inference(paramodulation,[status(thm)],[f3505,f933]) ).
fof(f7870,plain,
! [X0] :
( in(sK6_skl(X0,identity_relation(X0)),X0)
| X0 = relation_rng(identity_relation(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f7858]) ).
fof(f7876,plain,
! [X0] :
( ~ in(sK6_skl(X0,identity_relation(X0)),X0)
| X0 = relation_rng(identity_relation(X0))
| X0 = relation_rng(identity_relation(X0)) ),
inference(resolution,[status(thm)],[f7870,f821]) ).
fof(f7902,plain,
! [X0] :
( ~ in(sK6_skl(X0,identity_relation(X0)),X0)
| X0 = relation_rng(identity_relation(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f7876]) ).
fof(f7903,plain,
! [X0] : X0 = relation_rng(identity_relation(X0)),
inference(forward_subsumption_resolution,[status(thm)],[f7902,f7870]) ).
fof(f7981,plain,
! [X0,X1] :
( in(sK4_skl(X0,identity_relation(X1)),X1)
| in(sK3_skl(X0,identity_relation(X1)),X0)
| X0 = relation_dom(identity_relation(X1)) ),
inference(backward_demodulation,[status(thm)],[f7903,f721]) ).
fof(f9618,plain,
! [X0] :
( X0 = relation_dom(identity_relation(X0))
| in(sK3_skl(X0,identity_relation(X0)),X0)
| in(sK3_skl(X0,identity_relation(X0)),X0)
| X0 = relation_dom(identity_relation(X0)) ),
inference(paramodulation,[status(thm)],[f2198,f7981]) ).
fof(f9623,plain,
! [X0] :
( in(sK3_skl(X0,identity_relation(X0)),X0)
| X0 = relation_dom(identity_relation(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f9618]) ).
fof(f11656,plain,
! [X0] :
( ~ in(sK3_skl(X0,identity_relation(X0)),X0)
| X0 = relation_dom(identity_relation(X0))
| X0 = relation_dom(identity_relation(X0)) ),
inference(resolution,[status(thm)],[f9623,f653]) ).
fof(f11681,plain,
! [X0] :
( ~ in(sK3_skl(X0,identity_relation(X0)),X0)
| X0 = relation_dom(identity_relation(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f11656]) ).
fof(f11682,plain,
! [X0] : X0 = relation_dom(identity_relation(X0)),
inference(forward_subsumption_resolution,[status(thm)],[f11681,f9623]) ).
fof(f11718,plain,
( sQ0_spl
| sK14_skl != sK14_skl ),
inference(backward_demodulation,[status(thm)],[f11682,f122]) ).
fof(f11829,plain,
( sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f11718]) ).
fof(f11830,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f11829]) ).
fof(f11907,plain,
( sQ1_spl
| sK15_skl != sK15_skl ),
inference(forward_demodulation,[status(thm)],[f7903,f125]) ).
fof(f11908,plain,
( sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f11907]) ).
fof(f11909,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f11908]) ).
fof(f11910,plain,
$false,
inference(sat_refutation,[status(thm)],[f126,f11830,f11909]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU190+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n019.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 05:56:20 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.48 % Drodi V4.1.1
% 60.91/8.25 % Refutation found
% 60.91/8.25 % SZS status Theorem for theBenchmark: Theorem is valid
% 60.91/8.25 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 60.91/8.30 % Elapsed time: 7.823541 seconds
% 60.91/8.30 % CPU time: 61.457162 seconds
% 60.91/8.30 % Total memory used: 398.841 MB
% 60.91/8.30 % Net memory used: 371.679 MB
%------------------------------------------------------------------------------