%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU202+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 : n002.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 02:19:39 PM UTC 2026
% Result : Theorem 120.64s 20.62s
% Output : CNFRefutation 120.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 56
% Syntax : Number of formulae : 274 ( 17 unt; 44 def)
% Number of atoms : 823 ( 40 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 1036 ( 487 ~; 445 |; 40 &)
% ( 52 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 50 ( 48 usr; 45 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 316 ( 301 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] :
( in(A,B)
=> ~ in(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A] :
( empty(A)
=> relation(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] :
( relation(A)
=> ! [B,C] :
( relation(C)
=> ( C = relation_dom_restriction(A,B)
<=> ! [D,E] :
( in(ordered_pair(D,E),C)
<=> ( in(ordered_pair(D,E),A)
& in(D,B) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B] :
( relation(B)
=> ! [C] :
( relation(C)
=> ( C = relation_rng_restriction(A,B)
<=> ! [D,E] :
( in(ordered_pair(D,E),C)
<=> ( in(ordered_pair(D,E),B)
& in(E,A) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A,B] :
( relation(A)
=> relation(relation_dom_restriction(A,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A,B] :
( relation(B)
=> relation(relation_rng_restriction(A,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [A,B] : ~ empty(ordered_pair(A,B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
? [A] :
( relation(A)
& ~ empty(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,conjecture,
! [A,B,C] :
( relation(C)
=> relation_dom_restriction(relation_rng_restriction(A,C),B) = relation_rng_restriction(A,relation_dom_restriction(C,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
~ ! [A,B,C] :
( relation(C)
=> relation_dom_restriction(relation_rng_restriction(A,C),B) = relation_rng_restriction(A,relation_dom_restriction(C,B)) ),
inference(negated_conjecture,[status(cth)],[f25]) ).
fof(f27,axiom,
! [A,B] :
( in(A,B)
=> element(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [A,B] :
( element(A,B)
=> ( in(A,B)
| empty(B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [A,B] :
~ ( empty(B)
& in(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,plain,
! [A,B] :
( ~ in(B,A)
| ~ in(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f33,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f34,plain,
! [A] :
( relation(A)
| ~ empty(A) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f35,plain,
! [X0] :
( relation(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f37,plain,
! [A] :
( ! [B,C] :
( ( C = relation_dom_restriction(A,B)
<=> ! [D,E] :
( in(ordered_pair(D,E),C)
<=> ( in(ordered_pair(D,E),A)
& in(D,B) ) ) )
| ~ relation(C) )
| ~ relation(A) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f38,plain,
! [A] :
( ! [B,C] :
( ( ( ? [D,E] :
( ( ( in(ordered_pair(D,E),A)
& in(D,B) )
| in(ordered_pair(D,E),C) )
& ( ~ in(ordered_pair(D,E),A)
| ~ in(D,B)
| ~ in(ordered_pair(D,E),C) ) )
| C = relation_dom_restriction(A,B) )
& ( ! [D,E] :
( ( ~ in(ordered_pair(D,E),A)
| ~ in(D,B)
| in(ordered_pair(D,E),C) )
& ( ( in(ordered_pair(D,E),A)
& in(D,B) )
| ~ in(ordered_pair(D,E),C) ) )
| C != relation_dom_restriction(A,B) ) )
| ~ relation(C) )
| ~ relation(A) ),
inference(NNF_transformation,[status(thm)],[f37]) ).
fof(f39,plain,
! [A] :
( ! [C] :
( ( ! [B] :
( ? [D,E] :
( ( ( in(ordered_pair(D,E),A)
& in(D,B) )
| in(ordered_pair(D,E),C) )
& ( ~ in(ordered_pair(D,E),A)
| ~ in(D,B)
| ~ in(ordered_pair(D,E),C) ) )
| C = relation_dom_restriction(A,B) )
& ! [B] :
( ( ! [D,E] :
( ~ in(ordered_pair(D,E),A)
| ~ in(D,B)
| in(ordered_pair(D,E),C) )
& ! [D,E] :
( ( in(ordered_pair(D,E),A)
& in(D,B) )
| ~ in(ordered_pair(D,E),C) ) )
| C != relation_dom_restriction(A,B) ) )
| ~ relation(C) )
| ~ relation(A) ),
inference(miniscoping,[status(thm)],[f38]) ).
fof(f40,plain,
! [A] :
( ! [C] :
( ( ! [B] :
( ( ( ( in(ordered_pair(sK0_skl(B,C,A),sK1_skl(B,C,A)),A)
& in(sK0_skl(B,C,A),B) )
| in(ordered_pair(sK0_skl(B,C,A),sK1_skl(B,C,A)),C) )
& ( ~ in(ordered_pair(sK0_skl(B,C,A),sK1_skl(B,C,A)),A)
| ~ in(sK0_skl(B,C,A),B)
| ~ in(ordered_pair(sK0_skl(B,C,A),sK1_skl(B,C,A)),C) ) )
| C = relation_dom_restriction(A,B) )
& ! [B] :
( ( ! [D,E] :
( ~ in(ordered_pair(D,E),A)
| ~ in(D,B)
| in(ordered_pair(D,E),C) )
& ! [D,E] :
( ( in(ordered_pair(D,E),A)
& in(D,B) )
| ~ in(ordered_pair(D,E),C) ) )
| C != relation_dom_restriction(A,B) ) )
| ~ relation(C) )
| ~ relation(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(D,sK0_skl(B,C,A)),skolemize(E,sK1_skl(B,C,A))],[f39]) ).
fof(f41,plain,
! [X0,X1,X2,X3,X4] :
( in(X3,X2)
| ~ in(ordered_pair(X3,X4),X1)
| X1 != relation_dom_restriction(X0,X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f42,plain,
! [X0,X1,X2,X3,X4] :
( in(ordered_pair(X3,X4),X0)
| ~ in(ordered_pair(X3,X4),X1)
| X1 != relation_dom_restriction(X0,X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f43,plain,
! [X0,X1,X2,X3,X4] :
( ~ in(ordered_pair(X3,X4),X0)
| ~ in(X3,X2)
| in(ordered_pair(X3,X4),X1)
| X1 != relation_dom_restriction(X0,X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ~ in(ordered_pair(sK0_skl(X2,X1,X0),sK1_skl(X2,X1,X0)),X0)
| ~ in(sK0_skl(X2,X1,X0),X2)
| ~ in(ordered_pair(sK0_skl(X2,X1,X0),sK1_skl(X2,X1,X0)),X1)
| X1 = relation_dom_restriction(X0,X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f45,plain,
! [X0,X1,X2] :
( in(sK0_skl(X2,X1,X0),X2)
| in(ordered_pair(sK0_skl(X2,X1,X0),sK1_skl(X2,X1,X0)),X1)
| X1 = relation_dom_restriction(X0,X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f46,plain,
! [X0,X1,X2] :
( in(ordered_pair(sK0_skl(X2,X1,X0),sK1_skl(X2,X1,X0)),X0)
| in(ordered_pair(sK0_skl(X2,X1,X0),sK1_skl(X2,X1,X0)),X1)
| X1 = relation_dom_restriction(X0,X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f47,plain,
! [A,B] :
( ! [C] :
( ( C = relation_rng_restriction(A,B)
<=> ! [D,E] :
( in(ordered_pair(D,E),C)
<=> ( in(ordered_pair(D,E),B)
& in(E,A) ) ) )
| ~ relation(C) )
| ~ relation(B) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f48,plain,
! [A,B] :
( ! [C] :
( ( ( ? [D,E] :
( ( ( in(ordered_pair(D,E),B)
& in(E,A) )
| in(ordered_pair(D,E),C) )
& ( ~ in(ordered_pair(D,E),B)
| ~ in(E,A)
| ~ in(ordered_pair(D,E),C) ) )
| C = relation_rng_restriction(A,B) )
& ( ! [D,E] :
( ( ~ in(ordered_pair(D,E),B)
| ~ in(E,A)
| in(ordered_pair(D,E),C) )
& ( ( in(ordered_pair(D,E),B)
& in(E,A) )
| ~ in(ordered_pair(D,E),C) ) )
| C != relation_rng_restriction(A,B) ) )
| ~ relation(C) )
| ~ relation(B) ),
inference(NNF_transformation,[status(thm)],[f47]) ).
fof(f49,plain,
! [B] :
( ! [C] :
( ( ! [A] :
( ? [D,E] :
( ( ( in(ordered_pair(D,E),B)
& in(E,A) )
| in(ordered_pair(D,E),C) )
& ( ~ in(ordered_pair(D,E),B)
| ~ in(E,A)
| ~ in(ordered_pair(D,E),C) ) )
| C = relation_rng_restriction(A,B) )
& ! [A] :
( ( ! [D,E] :
( ~ in(ordered_pair(D,E),B)
| ~ in(E,A)
| in(ordered_pair(D,E),C) )
& ! [D,E] :
( ( in(ordered_pair(D,E),B)
& in(E,A) )
| ~ in(ordered_pair(D,E),C) ) )
| C != relation_rng_restriction(A,B) ) )
| ~ relation(C) )
| ~ relation(B) ),
inference(miniscoping,[status(thm)],[f48]) ).
fof(f50,plain,
! [B] :
( ! [C] :
( ( ! [A] :
( ( ( ( in(ordered_pair(sK2_skl(A,C,B),sK3_skl(A,C,B)),B)
& in(sK3_skl(A,C,B),A) )
| in(ordered_pair(sK2_skl(A,C,B),sK3_skl(A,C,B)),C) )
& ( ~ in(ordered_pair(sK2_skl(A,C,B),sK3_skl(A,C,B)),B)
| ~ in(sK3_skl(A,C,B),A)
| ~ in(ordered_pair(sK2_skl(A,C,B),sK3_skl(A,C,B)),C) ) )
| C = relation_rng_restriction(A,B) )
& ! [A] :
( ( ! [D,E] :
( ~ in(ordered_pair(D,E),B)
| ~ in(E,A)
| in(ordered_pair(D,E),C) )
& ! [D,E] :
( ( in(ordered_pair(D,E),B)
& in(E,A) )
| ~ in(ordered_pair(D,E),C) ) )
| C != relation_rng_restriction(A,B) ) )
| ~ relation(C) )
| ~ relation(B) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(D,sK2_skl(A,C,B)),skolemize(E,sK3_skl(A,C,B))],[f49]) ).
fof(f51,plain,
! [X0,X1,X2,X3,X4] :
( in(X4,X2)
| ~ in(ordered_pair(X3,X4),X1)
| X1 != relation_rng_restriction(X2,X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f52,plain,
! [X0,X1,X2,X3,X4] :
( in(ordered_pair(X3,X4),X0)
| ~ in(ordered_pair(X3,X4),X1)
| X1 != relation_rng_restriction(X2,X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f53,plain,
! [X0,X1,X2,X3,X4] :
( ~ in(ordered_pair(X3,X4),X0)
| ~ in(X4,X2)
| in(ordered_pair(X3,X4),X1)
| X1 != relation_rng_restriction(X2,X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f66,plain,
! [A,B] :
( relation(relation_dom_restriction(A,B))
| ~ relation(A) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f67,plain,
! [A] :
( ! [B] : relation(relation_dom_restriction(A,B))
| ~ relation(A) ),
inference(miniscoping,[status(thm)],[f66]) ).
fof(f68,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f69,plain,
! [A,B] :
( relation(relation_rng_restriction(A,B))
| ~ relation(B) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f70,plain,
! [B] :
( ! [A] : relation(relation_rng_restriction(A,B))
| ~ relation(B) ),
inference(miniscoping,[status(thm)],[f69]) ).
fof(f71,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X1,X0))
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f75,plain,
! [X0,X1] : ~ empty(ordered_pair(X0,X1)),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f85,plain,
( relation(sK9_skl)
& ~ empty(sK9_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(A,sK9_skl)],[f23]) ).
fof(f86,plain,
~ empty(sK9_skl),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f87,plain,
relation(sK9_skl),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f90,plain,
? [A,B,C] :
( relation_dom_restriction(relation_rng_restriction(A,C),B) != relation_rng_restriction(A,relation_dom_restriction(C,B))
& relation(C) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f91,plain,
? [C] :
( ? [A,B] : relation_dom_restriction(relation_rng_restriction(A,C),B) != relation_rng_restriction(A,relation_dom_restriction(C,B))
& relation(C) ),
inference(miniscoping,[status(thm)],[f90]) ).
fof(f92,plain,
( relation_dom_restriction(relation_rng_restriction(sK12_skl,sK11_skl),sK13_skl) != relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl))
& relation(sK11_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl,sK12_skl,sK13_skl]),skolemize(C,sK11_skl),skolemize(A,sK12_skl),skolemize(B,sK13_skl)],[f91]) ).
fof(f93,plain,
relation(sK11_skl),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f94,plain,
relation_dom_restriction(relation_rng_restriction(sK12_skl,sK11_skl),sK13_skl) != relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f95,plain,
! [A,B] :
( element(A,B)
| ~ in(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f96,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f97,plain,
! [A,B] :
( in(A,B)
| empty(B)
| ~ element(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f98,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f101,plain,
! [A,B] :
( ~ empty(B)
| ~ in(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f30]) ).
fof(f102,plain,
! [B] :
( ~ empty(B)
| ! [A] : ~ in(A,B) ),
inference(miniscoping,[status(thm)],[f101]) ).
fof(f103,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f102]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( in(X2,X1)
| ~ in(ordered_pair(X2,X3),relation_dom_restriction(X0,X1))
| ~ relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f41]) ).
fof(f108,plain,
! [X0,X1,X2,X3] :
( in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X2,X3),relation_dom_restriction(X0,X1))
| ~ relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f42]) ).
fof(f109,plain,
! [X0,X1,X2,X3] :
( ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1)
| in(ordered_pair(X2,X3),relation_dom_restriction(X0,X1))
| ~ relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f43]) ).
fof(f110,plain,
! [X0,X1,X2,X3] :
( in(X3,X1)
| ~ in(ordered_pair(X2,X3),relation_rng_restriction(X1,X0))
| ~ relation(relation_rng_restriction(X1,X0))
| ~ relation(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f51]) ).
fof(f111,plain,
! [X0,X1,X2,X3] :
( in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X2,X3),relation_rng_restriction(X1,X0))
| ~ relation(relation_rng_restriction(X1,X0))
| ~ relation(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f52]) ).
fof(f112,plain,
! [X0,X1,X2,X3] :
( ~ in(ordered_pair(X2,X3),X0)
| ~ in(X3,X1)
| in(ordered_pair(X2,X3),relation_rng_restriction(X1,X0))
| ~ relation(relation_rng_restriction(X1,X0))
| ~ relation(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f53]) ).
fof(f113,plain,
! [X0,X1,X2,X3] :
( in(X1,X3)
| ~ in(ordered_pair(X1,X2),relation_dom_restriction(X0,X3))
| ~ relation(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f107,f68]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( in(ordered_pair(X1,X2),X0)
| ~ in(ordered_pair(X1,X2),relation_dom_restriction(X0,X3))
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f108,f68]) ).
fof(f115,plain,
! [X0,X1,X2,X3] :
( ~ in(ordered_pair(X1,X2),X0)
| ~ in(X1,X3)
| in(ordered_pair(X1,X2),relation_dom_restriction(X0,X3))
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f109,f68]) ).
fof(f116,plain,
! [X0,X1,X2,X3] :
( in(X2,X3)
| ~ in(ordered_pair(X1,X2),relation_rng_restriction(X3,X0))
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f110,f71]) ).
fof(f117,plain,
! [X0,X1,X2,X3] :
( in(ordered_pair(X1,X2),X0)
| ~ in(ordered_pair(X1,X2),relation_rng_restriction(X3,X0))
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f111,f71]) ).
fof(f120,plain,
! [X0,X1,X2,X3] :
( ~ in(ordered_pair(X1,X2),relation_rng_restriction(X3,X0))
| ~ relation(X0)
| ~ in(X0,ordered_pair(X1,X2)) ),
inference(resolution,[status(thm)],[f33,f117]) ).
fof(f123,plain,
! [X0,X1,X2] :
( ~ in(ordered_pair(X1,X2),relation_rng_restriction(X2,X0))
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f33,f116]) ).
fof(f124,plain,
! [X0,X1,X2,X3] :
( ~ in(ordered_pair(X3,X1),relation_rng_restriction(X0,X2))
| ~ relation(X2)
| ~ in(X0,X1) ),
inference(resolution,[status(thm)],[f33,f116]) ).
fof(f134,plain,
( ~ in(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))),relation_rng_restriction(sK12_skl,sK11_skl))
| ~ in(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK13_skl)
| ~ in(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))),relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)))
| ~ relation(relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)))
| ~ relation(relation_rng_restriction(sK12_skl,sK11_skl)) ),
inference(resolution,[status(thm)],[f44,f94]) ).
fof(f135,definition,
( sQ0_spl
<=> relation(relation_rng_restriction(sK12_skl,sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f137,plain,
( sQ0_spl
| ~ relation(relation_rng_restriction(sK12_skl,sK11_skl)) ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f138,definition,
( sQ1_spl
<=> relation(relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl))) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f140,plain,
( sQ1_spl
| ~ relation(relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl))) ),
inference(component_clause,[status(thm)],[f138]) ).
fof(f141,definition,
( sQ2_spl
<=> in(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))),relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl))) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f143,plain,
( sQ2_spl
| ~ in(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))),relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl))) ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f144,definition,
( sQ3_spl
<=> in(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK13_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f146,plain,
( sQ3_spl
| ~ in(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK13_skl) ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f147,definition,
( sQ4_spl
<=> in(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))),relation_rng_restriction(sK12_skl,sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f148,plain,
( ~ sQ4_spl
| in(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))),relation_rng_restriction(sK12_skl,sK11_skl)) ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f149,plain,
( sQ4_spl
| ~ in(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))),relation_rng_restriction(sK12_skl,sK11_skl)) ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f150,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f134,f135,f138,f141,f144,f147]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( ~ in(ordered_pair(X1,X2),X0)
| ~ in(X2,X3)
| in(ordered_pair(X1,X2),relation_rng_restriction(X3,X0))
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f112,f71]) ).
fof(f155,definition,
( sQ5_spl
<=> relation(relation_dom_restriction(sK11_skl,sK13_skl)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f157,plain,
( sQ5_spl
| ~ relation(relation_dom_restriction(sK11_skl,sK13_skl)) ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f158,definition,
( sQ6_spl
<=> relation(relation_dom_restriction(relation_rng_restriction(sK12_skl,sK11_skl),sK13_skl)) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f160,plain,
( sQ6_spl
| ~ relation(relation_dom_restriction(relation_rng_restriction(sK12_skl,sK11_skl),sK13_skl)) ),
inference(component_clause,[status(thm)],[f158]) ).
fof(f175,plain,
! [X0,X1,X2] :
( ~ in(X1,ordered_pair(sK0_skl(X2,X1,X0),sK1_skl(X2,X1,X0)))
| in(sK0_skl(X2,X1,X0),X2)
| X1 = relation_dom_restriction(X0,X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f45,f33]) ).
fof(f181,plain,
! [X0,X1,X2] :
( ~ in(X1,ordered_pair(sK0_skl(X2,X1,X0),sK1_skl(X2,X1,X0)))
| in(ordered_pair(sK0_skl(X2,X1,X0),sK1_skl(X2,X1,X0)),X0)
| X1 = relation_dom_restriction(X0,X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f46,f33]) ).
fof(f195,plain,
( sQ5_spl
| ~ relation(sK11_skl) ),
inference(resolution,[status(thm)],[f157,f68]) ).
fof(f197,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f195,f93]) ).
fof(f198,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f197]) ).
fof(f199,plain,
( sQ6_spl
| ~ relation(relation_rng_restriction(sK12_skl,sK11_skl)) ),
inference(resolution,[status(thm)],[f160,f68]) ).
fof(f201,plain,
( sQ6_spl
| ~ relation(sK11_skl) ),
inference(resolution,[status(thm)],[f199,f71]) ).
fof(f203,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f201,f93]) ).
fof(f204,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f203]) ).
fof(f205,plain,
( sQ4_spl
| ~ in(relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))))
| relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)) = relation_dom_restriction(relation_rng_restriction(sK12_skl,sK11_skl),sK13_skl)
| ~ relation(relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)))
| ~ relation(relation_rng_restriction(sK12_skl,sK11_skl)) ),
inference(resolution,[status(thm)],[f149,f181]) ).
fof(f206,plain,
( sQ4_spl
| ~ in(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))),sK11_skl)
| ~ in(sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK12_skl)
| ~ relation(sK11_skl) ),
inference(resolution,[status(thm)],[f149,f151]) ).
fof(f211,definition,
( sQ10_spl
<=> relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)) = relation_dom_restriction(relation_rng_restriction(sK12_skl,sK11_skl),sK13_skl) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f212,plain,
( ~ sQ10_spl
| relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)) = relation_dom_restriction(relation_rng_restriction(sK12_skl,sK11_skl),sK13_skl) ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f214,definition,
( sQ11_spl
<=> in(relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f216,plain,
( sQ11_spl
| ~ in(relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)))) ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f217,plain,
( sQ4_spl
| ~ sQ11_spl
| sQ10_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f205,f135,f138,f211,f214,f147]) ).
fof(f218,definition,
( sQ12_spl
<=> relation(sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f220,plain,
( sQ12_spl
| ~ relation(sK11_skl) ),
inference(component_clause,[status(thm)],[f218]) ).
fof(f221,definition,
( sQ13_spl
<=> in(sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK12_skl) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f222,plain,
( ~ sQ13_spl
| in(sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK12_skl) ),
inference(component_clause,[status(thm)],[f221]) ).
fof(f223,plain,
( sQ13_spl
| ~ in(sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK12_skl) ),
inference(component_clause,[status(thm)],[f221]) ).
fof(f224,definition,
( sQ14_spl
<=> in(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))),sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f226,plain,
( sQ14_spl
| ~ in(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))),sK11_skl) ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f227,plain,
( sQ4_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f206,f218,f221,f224,f147]) ).
fof(f228,definition,
! [X0] :
( sQ15_spl
<=> ~ in(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))),relation_rng_restriction(X0,relation_rng_restriction(sK12_skl,sK11_skl))) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f229,plain,
! [X0] :
( ~ sQ15_spl
| ~ in(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))),relation_rng_restriction(X0,relation_rng_restriction(sK12_skl,sK11_skl))) ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f236,definition,
( sQ17_spl
<=> element(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))),relation_rng_restriction(sK12_skl,sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f238,plain,
( sQ17_spl
| ~ element(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))),relation_rng_restriction(sK12_skl,sK11_skl)) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,definition,
( sQ18_spl
<=> empty(relation_rng_restriction(sK12_skl,sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f240,plain,
( ~ sQ18_spl
| empty(relation_rng_restriction(sK12_skl,sK11_skl)) ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f241,plain,
( sQ18_spl
| ~ empty(relation_rng_restriction(sK12_skl,sK11_skl)) ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f243,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f220,f93]) ).
fof(f244,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f243]) ).
fof(f245,plain,
( ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f212,f94]) ).
fof(f246,plain,
~ sQ10_spl,
inference(contradiction_clause,[status(thm)],[f245]) ).
fof(f279,plain,
( sQ0_spl
| ~ relation(sK11_skl) ),
inference(resolution,[status(thm)],[f137,f71]) ).
fof(f281,plain,
( sQ0_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f279,f218,f135]) ).
fof(f282,plain,
( sQ1_spl
| ~ relation(relation_dom_restriction(sK11_skl,sK13_skl)) ),
inference(resolution,[status(thm)],[f140,f71]) ).
fof(f284,plain,
( sQ1_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f282,f155,f138]) ).
fof(f315,plain,
( ~ sQ4_spl
| ~ in(relation_rng_restriction(sK12_skl,sK11_skl),ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)))) ),
inference(resolution,[status(thm)],[f148,f33]) ).
fof(f319,plain,
( sQ2_spl
| ~ in(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))),relation_dom_restriction(sK11_skl,sK13_skl))
| ~ in(sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK12_skl)
| ~ relation(relation_dom_restriction(sK11_skl,sK13_skl)) ),
inference(resolution,[status(thm)],[f143,f151]) ).
fof(f326,definition,
( sQ31_spl
<=> in(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))),relation_dom_restriction(sK11_skl,sK13_skl)) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f327,plain,
( ~ sQ31_spl
| in(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))),relation_dom_restriction(sK11_skl,sK13_skl)) ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f328,plain,
( sQ31_spl
| ~ in(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))),relation_dom_restriction(sK11_skl,sK13_skl)) ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f329,plain,
( sQ2_spl
| ~ sQ31_spl
| ~ sQ13_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f319,f155,f221,f326,f141]) ).
fof(f379,plain,
! [X0,X1] :
( sQ13_spl
| ~ in(ordered_pair(X1,sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))),relation_rng_restriction(sK12_skl,X0))
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f223,f116]) ).
fof(f383,definition,
( sQ41_spl
<=> empty(sK12_skl) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f384,plain,
( ~ sQ41_spl
| empty(sK12_skl) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f416,plain,
( ~ sQ4_spl
| sQ13_spl
| ~ relation(sK11_skl) ),
inference(resolution,[status(thm)],[f379,f148]) ).
fof(f418,plain,
( sQ13_spl
| in(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))),relation_rng_restriction(sK12_skl,sK11_skl))
| relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)) = relation_dom_restriction(relation_rng_restriction(sK12_skl,sK11_skl),sK13_skl)
| ~ relation(relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)))
| ~ relation(relation_rng_restriction(sK12_skl,sK11_skl))
| ~ relation(relation_dom_restriction(sK11_skl,sK13_skl)) ),
inference(resolution,[status(thm)],[f379,f46]) ).
fof(f425,plain,
( ~ sQ4_spl
| sQ13_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f416,f218,f221,f147]) ).
fof(f427,plain,
( sQ13_spl
| sQ4_spl
| sQ10_spl
| ~ sQ1_spl
| ~ sQ0_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f418,f155,f135,f138,f211,f147,f221]) ).
fof(f439,plain,
( sQ3_spl
| ~ in(relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))))
| relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)) = relation_dom_restriction(relation_rng_restriction(sK12_skl,sK11_skl),sK13_skl)
| ~ relation(relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)))
| ~ relation(relation_rng_restriction(sK12_skl,sK11_skl)) ),
inference(resolution,[status(thm)],[f146,f175]) ).
fof(f442,plain,
( sQ3_spl
| ~ sQ11_spl
| sQ10_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f439,f135,f138,f211,f214,f144]) ).
fof(f461,definition,
( sQ51_spl
<=> empty(ordered_pair(sK2_skl(sK12_skl,relation_dom_restriction(relation_rng_restriction(sK12_skl,sK11_skl),sK13_skl),relation_dom_restriction(sK11_skl,sK13_skl)),sK3_skl(sK12_skl,relation_dom_restriction(relation_rng_restriction(sK12_skl,sK11_skl),sK13_skl),relation_dom_restriction(sK11_skl,sK13_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f462,plain,
( ~ sQ51_spl
| empty(ordered_pair(sK2_skl(sK12_skl,relation_dom_restriction(relation_rng_restriction(sK12_skl,sK11_skl),sK13_skl),relation_dom_restriction(sK11_skl,sK13_skl)),sK3_skl(sK12_skl,relation_dom_restriction(relation_rng_restriction(sK12_skl,sK11_skl),sK13_skl),relation_dom_restriction(sK11_skl,sK13_skl)))) ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f465,plain,
( ~ sQ4_spl
| empty(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))))
| ~ element(relation_rng_restriction(sK12_skl,sK11_skl),ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)))) ),
inference(resolution,[status(thm)],[f315,f98]) ).
fof(f467,definition,
( sQ52_spl
<=> element(relation_rng_restriction(sK12_skl,sK11_skl),ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f470,definition,
( sQ53_spl
<=> empty(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f471,plain,
( ~ sQ53_spl
| empty(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)))) ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f473,plain,
( ~ sQ4_spl
| sQ53_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f465,f467,f470,f147]) ).
fof(f476,definition,
( sQ54_spl
<=> element(relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f595,plain,
! [X0,X1,X2] :
( ~ in(ordered_pair(X2,X1),X0)
| ~ in(X1,X1)
| ~ relation(X0)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f123,f151]) ).
fof(f598,plain,
! [X0,X1,X2] :
( empty(relation_rng_restriction(X2,X0))
| ~ element(ordered_pair(X1,X2),relation_rng_restriction(X2,X0))
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f123,f98]) ).
fof(f600,plain,
! [X0,X1,X2] :
( ~ in(ordered_pair(X2,X1),X0)
| ~ in(X1,X1)
| ~ relation(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f595]) ).
fof(f614,plain,
( ~ sQ4_spl
| ~ in(sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)))
| ~ relation(relation_rng_restriction(sK12_skl,sK11_skl)) ),
inference(resolution,[status(thm)],[f600,f148]) ).
fof(f635,definition,
( sQ65_spl
<=> in(sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f639,plain,
( ~ sQ4_spl
| ~ sQ65_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f614,f135,f635,f147]) ).
fof(f694,plain,
( ~ sQ4_spl
| ~ relation(sK11_skl)
| ~ in(sK11_skl,ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)))) ),
inference(resolution,[status(thm)],[f120,f148]) ).
fof(f702,plain,
! [X0,X1,X2,X3] :
( empty(relation_rng_restriction(X3,X0))
| ~ element(ordered_pair(X1,X2),relation_rng_restriction(X3,X0))
| ~ relation(X0)
| ~ in(X0,ordered_pair(X1,X2)) ),
inference(resolution,[status(thm)],[f120,f98]) ).
fof(f713,definition,
( sQ67_spl
<=> in(sK11_skl,ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f715,plain,
( sQ67_spl
| ~ in(sK11_skl,ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)))) ),
inference(component_clause,[status(thm)],[f713]) ).
fof(f716,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f694,f713,f218,f147]) ).
fof(f877,definition,
( sQ87_spl
<=> relation(sK9_skl) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f879,plain,
( sQ87_spl
| ~ relation(sK9_skl) ),
inference(component_clause,[status(thm)],[f877]) ).
fof(f884,plain,
( sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f879,f87]) ).
fof(f885,plain,
sQ87_spl,
inference(contradiction_clause,[status(thm)],[f884]) ).
fof(f900,plain,
( sQ67_spl
| empty(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))))
| ~ element(sK11_skl,ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)))) ),
inference(resolution,[status(thm)],[f715,f98]) ).
fof(f902,definition,
( sQ90_spl
<=> element(sK11_skl,ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f905,plain,
( sQ67_spl
| sQ53_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f900,f902,f470,f713]) ).
fof(f1021,definition,
( sQ103_spl
<=> empty(ordered_pair(sK4_skl(relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_dom_restriction(relation_rng_restriction(sK12_skl,sK11_skl),sK13_skl)),sK5_skl(relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_dom_restriction(relation_rng_restriction(sK12_skl,sK11_skl),sK13_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1022,plain,
( ~ sQ103_spl
| empty(ordered_pair(sK4_skl(relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_dom_restriction(relation_rng_restriction(sK12_skl,sK11_skl),sK13_skl)),sK5_skl(relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_dom_restriction(relation_rng_restriction(sK12_skl,sK11_skl),sK13_skl)))) ),
inference(component_clause,[status(thm)],[f1021]) ).
fof(f1032,plain,
( ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1022,f75]) ).
fof(f1033,plain,
~ sQ103_spl,
inference(contradiction_clause,[status(thm)],[f1032]) ).
fof(f1075,definition,
( sQ106_spl
<=> empty(ordered_pair(sK4_skl(relation_dom_restriction(relation_rng_restriction(sK12_skl,sK11_skl),sK13_skl),relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl))),sK5_skl(relation_dom_restriction(relation_rng_restriction(sK12_skl,sK11_skl),sK13_skl),relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl))))) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f1076,plain,
( ~ sQ106_spl
| empty(ordered_pair(sK4_skl(relation_dom_restriction(relation_rng_restriction(sK12_skl,sK11_skl),sK13_skl),relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl))),sK5_skl(relation_dom_restriction(relation_rng_restriction(sK12_skl,sK11_skl),sK13_skl),relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl))))) ),
inference(component_clause,[status(thm)],[f1075]) ).
fof(f1345,plain,
( ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1076,f75]) ).
fof(f1346,plain,
~ sQ106_spl,
inference(contradiction_clause,[status(thm)],[f1345]) ).
fof(f1347,plain,
( ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f462,f75]) ).
fof(f1348,plain,
~ sQ51_spl,
inference(contradiction_clause,[status(thm)],[f1347]) ).
fof(f1358,plain,
( ~ sQ4_spl
| ~ relation(sK11_skl)
| ~ in(sK12_skl,sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))) ),
inference(resolution,[status(thm)],[f124,f148]) ).
fof(f1381,definition,
( sQ132_spl
<=> in(sK12_skl,sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1384,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f1358,f1381,f218,f147]) ).
fof(f1396,plain,
( ~ sQ13_spl
| ~ empty(sK12_skl) ),
inference(resolution,[status(thm)],[f103,f222]) ).
fof(f1409,plain,
( ~ sQ4_spl
| ~ empty(relation_rng_restriction(sK12_skl,sK11_skl)) ),
inference(resolution,[status(thm)],[f103,f148]) ).
fof(f1415,plain,
! [X0,X1,X2,X3] :
( ~ in(ordered_pair(X3,X2),X1)
| ~ in(X2,X0)
| ~ relation(X1)
| ~ empty(relation_rng_restriction(X0,X1)) ),
inference(resolution,[status(thm)],[f103,f151]) ).
fof(f1416,plain,
! [X0,X1,X2,X3] :
( ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1)
| ~ relation(X0)
| ~ empty(relation_dom_restriction(X0,X1)) ),
inference(resolution,[status(thm)],[f103,f115]) ).
fof(f1417,plain,
! [X0,X1,X2,X3] :
( ~ in(ordered_pair(X1,X2),relation_rng_restriction(X3,X0))
| ~ relation(X0)
| ~ empty(X0) ),
inference(resolution,[status(thm)],[f103,f117]) ).
fof(f1422,plain,
( ~ sQ13_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1396,f384]) ).
fof(f1423,plain,
( ~ sQ13_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f1422]) ).
fof(f1433,plain,
( ~ sQ4_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1409,f240]) ).
fof(f1434,plain,
( ~ sQ4_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f1433]) ).
fof(f1441,plain,
! [X0,X1,X2,X3] :
( ~ in(ordered_pair(X1,X2),relation_rng_restriction(X3,X0))
| ~ empty(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1417,f35]) ).
fof(f1665,plain,
! [X0] :
( ~ sQ15_spl
| ~ in(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))),relation_rng_restriction(sK12_skl,sK11_skl))
| ~ in(sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),X0)
| ~ relation(relation_rng_restriction(sK12_skl,sK11_skl)) ),
inference(resolution,[status(thm)],[f229,f151]) ).
fof(f1671,definition,
! [X0] :
( sQ142_spl
<=> ~ in(sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),X0) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1672,plain,
! [X0] :
( ~ sQ142_spl
| ~ in(sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),X0) ),
inference(component_clause,[status(thm)],[f1671]) ).
fof(f1674,plain,
( ~ sQ15_spl
| ~ sQ4_spl
| sQ142_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1665,f135,f1671,f147,f228]) ).
fof(f1675,plain,
( sQ31_spl
| ~ in(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))),sK11_skl)
| ~ in(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK13_skl)
| ~ relation(sK11_skl) ),
inference(resolution,[status(thm)],[f328,f115]) ).
fof(f1676,plain,
! [X0] :
( sQ31_spl
| ~ in(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))),relation_rng_restriction(X0,relation_dom_restriction(sK11_skl,sK13_skl)))
| ~ relation(relation_dom_restriction(sK11_skl,sK13_skl)) ),
inference(resolution,[status(thm)],[f328,f117]) ).
fof(f1681,plain,
( sQ31_spl
| ~ sQ14_spl
| ~ sQ3_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f1675,f218,f144,f224,f326]) ).
fof(f1682,definition,
! [X0] :
( sQ143_spl
<=> ~ in(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))),relation_rng_restriction(X0,relation_dom_restriction(sK11_skl,sK13_skl))) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1683,plain,
! [X0] :
( ~ sQ143_spl
| ~ in(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))),relation_rng_restriction(X0,relation_dom_restriction(sK11_skl,sK13_skl))) ),
inference(component_clause,[status(thm)],[f1682]) ).
fof(f1685,plain,
( sQ31_spl
| sQ143_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1676,f155,f1682,f326]) ).
fof(f1759,definition,
( sQ149_spl
<=> empty(sK9_skl) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1760,plain,
( ~ sQ149_spl
| empty(sK9_skl) ),
inference(component_clause,[status(thm)],[f1759]) ).
fof(f2095,plain,
! [X0] :
( sQ14_spl
| ~ in(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))),relation_rng_restriction(X0,sK11_skl))
| ~ relation(sK11_skl) ),
inference(resolution,[status(thm)],[f226,f117]) ).
fof(f2096,plain,
! [X0] :
( sQ14_spl
| ~ in(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))),relation_dom_restriction(sK11_skl,X0))
| ~ relation(sK11_skl) ),
inference(resolution,[status(thm)],[f226,f114]) ).
fof(f2100,definition,
! [X0] :
( sQ165_spl
<=> ~ in(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))),relation_rng_restriction(X0,sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f2101,plain,
! [X0] :
( ~ sQ165_spl
| ~ in(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))),relation_rng_restriction(X0,sK11_skl)) ),
inference(component_clause,[status(thm)],[f2100]) ).
fof(f2103,plain,
( sQ14_spl
| sQ165_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f2095,f218,f2100,f224]) ).
fof(f2104,definition,
! [X0] :
( sQ166_spl
<=> ~ in(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))),relation_dom_restriction(sK11_skl,X0)) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f2105,plain,
! [X0] :
( ~ sQ166_spl
| ~ in(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))),relation_dom_restriction(sK11_skl,X0)) ),
inference(component_clause,[status(thm)],[f2104]) ).
fof(f2107,plain,
( sQ14_spl
| sQ166_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f2096,f218,f2104,f224]) ).
fof(f2111,definition,
( sQ168_spl
<=> empty(sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f2112,plain,
( ~ sQ168_spl
| empty(sK11_skl) ),
inference(component_clause,[status(thm)],[f2111]) ).
fof(f2222,plain,
! [X0,X1] :
( sQ3_spl
| ~ in(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),X1),relation_dom_restriction(X0,sK13_skl))
| ~ relation(X0) ),
inference(resolution,[status(thm)],[f146,f113]) ).
fof(f2360,plain,
( sQ11_spl
| empty(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))))
| ~ element(relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)))) ),
inference(resolution,[status(thm)],[f216,f98]) ).
fof(f2362,plain,
( sQ11_spl
| sQ53_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f2360,f476,f470,f214]) ).
fof(f2528,plain,
! [X0] :
( ~ sQ4_spl
| ~ in(sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),X0)
| ~ relation(relation_rng_restriction(sK12_skl,sK11_skl))
| ~ empty(relation_rng_restriction(X0,relation_rng_restriction(sK12_skl,sK11_skl))) ),
inference(resolution,[status(thm)],[f1415,f148]) ).
fof(f2575,definition,
! [X0] :
( sQ187_spl
<=> ( ~ in(sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),X0)
| ~ empty(relation_rng_restriction(X0,relation_rng_restriction(sK12_skl,sK11_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f2576,plain,
! [X0] :
( ~ sQ187_spl
| ~ in(sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),X0)
| ~ empty(relation_rng_restriction(X0,relation_rng_restriction(sK12_skl,sK11_skl))) ),
inference(component_clause,[status(thm)],[f2575]) ).
fof(f2578,plain,
( ~ sQ4_spl
| ~ sQ0_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f2528,f2575,f135,f147]) ).
fof(f2663,plain,
! [X0] :
( ~ sQ4_spl
| ~ in(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),X0)
| ~ relation(relation_rng_restriction(sK12_skl,sK11_skl))
| ~ empty(relation_dom_restriction(relation_rng_restriction(sK12_skl,sK11_skl),X0)) ),
inference(resolution,[status(thm)],[f1416,f148]) ).
fof(f2714,definition,
! [X0] :
( sQ193_spl
<=> ( ~ in(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),X0)
| ~ empty(relation_dom_restriction(relation_rng_restriction(sK12_skl,sK11_skl),X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f2717,plain,
( ~ sQ4_spl
| ~ sQ0_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f2663,f2714,f135,f147]) ).
fof(f2748,plain,
( ~ sQ4_spl
| ~ empty(sK11_skl) ),
inference(resolution,[status(thm)],[f1441,f148]) ).
fof(f3525,plain,
( ~ sQ13_spl
| ~ sQ187_spl
| ~ empty(relation_rng_restriction(sK12_skl,relation_rng_restriction(sK12_skl,sK11_skl))) ),
inference(resolution,[status(thm)],[f2576,f222]) ).
fof(f4523,plain,
( ~ sQ168_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2112,f2748]) ).
fof(f4524,plain,
( ~ sQ168_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f4523]) ).
fof(f4744,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ187_spl
| ~ element(ordered_pair(X0,sK12_skl),relation_rng_restriction(sK12_skl,relation_rng_restriction(sK12_skl,sK11_skl)))
| ~ relation(relation_rng_restriction(sK12_skl,sK11_skl)) ),
inference(resolution,[status(thm)],[f598,f3525]) ).
fof(f4745,plain,
! [X0] :
( sQ18_spl
| ~ element(ordered_pair(X0,sK12_skl),relation_rng_restriction(sK12_skl,sK11_skl))
| ~ relation(sK11_skl) ),
inference(resolution,[status(thm)],[f598,f241]) ).
fof(f4747,definition,
! [X0] :
( sQ272_spl
<=> ~ element(ordered_pair(X0,sK12_skl),relation_rng_restriction(sK12_skl,relation_rng_restriction(sK12_skl,sK11_skl))) ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f4750,plain,
( ~ sQ13_spl
| ~ sQ187_spl
| sQ272_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f4744,f135,f4747,f2575,f221]) ).
fof(f4751,definition,
! [X0] :
( sQ273_spl
<=> ~ element(ordered_pair(X0,sK12_skl),relation_rng_restriction(sK12_skl,sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f4752,plain,
! [X0] :
( ~ sQ273_spl
| ~ element(ordered_pair(X0,sK12_skl),relation_rng_restriction(sK12_skl,sK11_skl)) ),
inference(component_clause,[status(thm)],[f4751]) ).
fof(f4754,plain,
( sQ18_spl
| sQ273_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f4745,f218,f4751,f239]) ).
fof(f4864,plain,
! [X0] :
( ~ sQ273_spl
| ~ in(ordered_pair(X0,sK12_skl),relation_rng_restriction(sK12_skl,sK11_skl)) ),
inference(resolution,[status(thm)],[f4752,f96]) ).
fof(f4866,plain,
! [X0,X1] :
( ~ sQ273_spl
| ~ in(ordered_pair(X0,sK12_skl),relation_rng_restriction(X1,relation_rng_restriction(sK12_skl,sK11_skl)))
| ~ relation(relation_rng_restriction(sK12_skl,sK11_skl)) ),
inference(resolution,[status(thm)],[f4864,f117]) ).
fof(f4867,plain,
! [X0,X1] :
( ~ sQ273_spl
| ~ in(ordered_pair(X0,sK12_skl),relation_dom_restriction(relation_rng_restriction(sK12_skl,sK11_skl),X1))
| ~ relation(relation_rng_restriction(sK12_skl,sK11_skl)) ),
inference(resolution,[status(thm)],[f4864,f114]) ).
fof(f4878,definition,
! [X0,X1] :
( sQ276_spl
<=> ~ in(ordered_pair(X0,sK12_skl),relation_rng_restriction(X1,relation_rng_restriction(sK12_skl,sK11_skl))) ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f4881,plain,
( ~ sQ273_spl
| sQ276_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f4866,f135,f4878,f4751]) ).
fof(f4882,definition,
! [X0,X1] :
( sQ277_spl
<=> ~ in(ordered_pair(X0,sK12_skl),relation_dom_restriction(relation_rng_restriction(sK12_skl,sK11_skl),X1)) ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f4883,plain,
! [X0,X1] :
( ~ sQ277_spl
| ~ in(ordered_pair(X0,sK12_skl),relation_dom_restriction(relation_rng_restriction(sK12_skl,sK11_skl),X1)) ),
inference(component_clause,[status(thm)],[f4882]) ).
fof(f4885,plain,
( ~ sQ273_spl
| sQ277_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f4867,f135,f4882,f4751]) ).
fof(f5221,plain,
( ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f471,f75]) ).
fof(f5222,plain,
~ sQ53_spl,
inference(contradiction_clause,[status(thm)],[f5221]) ).
fof(f5442,plain,
! [X0,X1] :
( ~ sQ277_spl
| ~ in(ordered_pair(X0,sK12_skl),relation_rng_restriction(sK12_skl,sK11_skl))
| ~ in(X0,X1)
| ~ relation(relation_rng_restriction(sK12_skl,sK11_skl)) ),
inference(resolution,[status(thm)],[f4883,f115]) ).
fof(f5448,definition,
! [X0,X1] :
( sQ294_spl
<=> ( ~ in(ordered_pair(X0,sK12_skl),relation_rng_restriction(sK12_skl,sK11_skl))
| ~ in(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f5451,plain,
( ~ sQ277_spl
| sQ294_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f5442,f135,f5448,f4882]) ).
fof(f5540,definition,
( sQ304_spl
<=> relation(relation_rng_restriction(sK12_skl,relation_rng_restriction(sK12_skl,sK11_skl))) ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f5542,plain,
( sQ304_spl
| ~ relation(relation_rng_restriction(sK12_skl,relation_rng_restriction(sK12_skl,sK11_skl))) ),
inference(component_clause,[status(thm)],[f5540]) ).
fof(f5656,plain,
( ~ sQ13_spl
| ~ sQ142_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f222,f1672]) ).
fof(f5660,plain,
( ~ sQ13_spl
| ~ sQ142_spl ),
inference(contradiction_clause,[status(thm)],[f5656]) ).
fof(f5670,plain,
( ~ sQ143_spl
| in(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))),relation_rng_restriction(sK12_skl,sK11_skl))
| relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)) = relation_dom_restriction(relation_rng_restriction(sK12_skl,sK11_skl),sK13_skl)
| ~ relation(relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)))
| ~ relation(relation_rng_restriction(sK12_skl,sK11_skl)) ),
inference(resolution,[status(thm)],[f1683,f46]) ).
fof(f5671,plain,
( ~ sQ143_spl
| in(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK13_skl)
| relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)) = relation_dom_restriction(relation_rng_restriction(sK12_skl,sK11_skl),sK13_skl)
| ~ relation(relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)))
| ~ relation(relation_rng_restriction(sK12_skl,sK11_skl)) ),
inference(resolution,[status(thm)],[f1683,f45]) ).
fof(f5678,plain,
( ~ sQ143_spl
| sQ4_spl
| sQ10_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f5670,f135,f138,f211,f147,f1682]) ).
fof(f5679,plain,
( ~ sQ143_spl
| sQ3_spl
| sQ10_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f5671,f135,f138,f211,f144,f1682]) ).
fof(f5867,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sQ187_spl
| ~ element(ordered_pair(X0,X1),relation_rng_restriction(sK12_skl,relation_rng_restriction(sK12_skl,sK11_skl)))
| ~ relation(relation_rng_restriction(sK12_skl,sK11_skl))
| ~ in(relation_rng_restriction(sK12_skl,sK11_skl),ordered_pair(X0,X1)) ),
inference(resolution,[status(thm)],[f702,f3525]) ).
fof(f5868,plain,
! [X0,X1] :
( sQ18_spl
| ~ element(ordered_pair(X0,X1),relation_rng_restriction(sK12_skl,sK11_skl))
| ~ relation(sK11_skl)
| ~ in(sK11_skl,ordered_pair(X0,X1)) ),
inference(resolution,[status(thm)],[f702,f241]) ).
fof(f5870,definition,
! [X0,X1] :
( sQ318_spl
<=> ( ~ element(ordered_pair(X0,X1),relation_rng_restriction(sK12_skl,relation_rng_restriction(sK12_skl,sK11_skl)))
| ~ in(relation_rng_restriction(sK12_skl,sK11_skl),ordered_pair(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition]) ).
fof(f5873,plain,
( ~ sQ13_spl
| ~ sQ187_spl
| ~ sQ0_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f5867,f5870,f135,f2575,f221]) ).
fof(f5874,definition,
! [X0,X1] :
( sQ319_spl
<=> ( ~ element(ordered_pair(X0,X1),relation_rng_restriction(sK12_skl,sK11_skl))
| ~ in(sK11_skl,ordered_pair(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ319_spl])],[split_symbol_definition]) ).
fof(f5877,plain,
( sQ18_spl
| ~ sQ12_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f5868,f5874,f218,f239]) ).
fof(f6320,plain,
( sQ304_spl
| ~ relation(relation_rng_restriction(sK12_skl,sK11_skl)) ),
inference(resolution,[status(thm)],[f5542,f71]) ).
fof(f6322,plain,
( sQ304_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f6320,f135,f5540]) ).
fof(f6477,plain,
( sQ17_spl
| ~ in(ordered_pair(sK0_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl)),sK1_skl(sK13_skl,relation_rng_restriction(sK12_skl,relation_dom_restriction(sK11_skl,sK13_skl)),relation_rng_restriction(sK12_skl,sK11_skl))),relation_rng_restriction(sK12_skl,sK11_skl)) ),
inference(resolution,[status(thm)],[f238,f96]) ).
fof(f6478,plain,
( sQ17_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f6477,f147,f236]) ).
fof(f6598,plain,
( ~ sQ4_spl
| ~ sQ165_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f148,f2101]) ).
fof(f6615,plain,
( ~ sQ4_spl
| ~ sQ165_spl ),
inference(contradiction_clause,[status(thm)],[f6598]) ).
fof(f6994,plain,
( sQ3_spl
| ~ sQ31_spl
| ~ relation(sK11_skl) ),
inference(resolution,[status(thm)],[f327,f2222]) ).
fof(f7006,plain,
( sQ3_spl
| ~ sQ31_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f6994,f218,f326,f144]) ).
fof(f7792,plain,
( ~ sQ149_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1760,f86]) ).
fof(f7793,plain,
~ sQ149_spl,
inference(contradiction_clause,[status(thm)],[f7792]) ).
fof(f7809,plain,
( ~ sQ31_spl
| ~ sQ166_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f327,f2105]) ).
fof(f7816,plain,
( ~ sQ31_spl
| ~ sQ166_spl ),
inference(contradiction_clause,[status(thm)],[f7809]) ).
fof(f7817,plain,
$false,
inference(sat_refutation,[status(thm)],[f150,f198,f204,f217,f227,f244,f246,f281,f284,f329,f425,f427,f442,f473,f639,f716,f885,f905,f1033,f1346,f1348,f1384,f1423,f1434,f1674,f1681,f1685,f2103,f2107,f2362,f2578,f2717,f4524,f4750,f4754,f4881,f4885,f5222,f5451,f5660,f5678,f5679,f5873,f5877,f6322,f6478,f6615,f7006,f7793,f7816]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU202+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.36 % Computer : n002.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Mon Sep 21 06:00:08 UTC 2026
% 0.08/5.36 % CPUTime :
% 0.08/5.38 % Drodi V4.1.1
% 120.64/20.62 % Refutation found
% 120.64/20.62 % SZS status Theorem for theBenchmark: Theorem is valid
% 120.64/20.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 89.51/21.85 % Elapsed time: 16.266480 seconds
% 89.51/21.85 % CPU time: 118.408854 seconds
% 89.51/21.85 % Total memory used: 884.668 MB
% 89.51/21.85 % Net memory used: 817.433 MB
%------------------------------------------------------------------------------