TSTP Solution File: SEU002+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU002+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:35:41 EDT 2023
% Result : Theorem 2.53s 0.71s
% Output : CNFRefutation 2.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 24
% Syntax : Number of formulae : 112 ( 19 unt; 0 def)
% Number of atoms : 389 ( 39 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 457 ( 180 ~; 183 |; 59 &)
% ( 21 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 22 ( 20 usr; 16 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 104 (; 87 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [A] :
( ( relation(A)
& function(A) )
=> ! [B] :
( B = relation_rng(A)
<=> ! [C] :
( in(C,B)
<=> ? [D] :
( in(D,relation_dom(A))
& C = apply(A,D) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B] :
( ( relation(A)
& relation(B) )
=> relation(relation_composition(A,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] :
( ( relation(A)
& function(A)
& relation(B)
& function(B) )
=> ( relation(relation_composition(A,B))
& function(relation_composition(A,B)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
? [A] :
( relation(A)
& function(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
? [A] :
( ~ empty(A)
& relation(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
? [A] :
( relation(A)
& relation_empty_yielding(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [A,B] :
( ( relation(B)
& function(B) )
=> ! [C] :
( ( relation(C)
& function(C) )
=> ( in(A,relation_dom(relation_composition(C,B)))
<=> ( in(A,relation_dom(C))
& in(apply(C,A),relation_dom(B)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [A,B] :
( ( relation(B)
& function(B) )
=> ! [C] :
( ( relation(C)
& function(C) )
=> ( in(A,relation_dom(relation_composition(C,B)))
=> apply(relation_composition(C,B),A) = apply(B,apply(C,A)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,conjecture,
! [A,B] :
( ( relation(B)
& function(B) )
=> ! [C] :
( ( relation(C)
& function(C) )
=> ( in(A,relation_rng(relation_composition(C,B)))
=> in(A,relation_rng(B)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
~ ! [A,B] :
( ( relation(B)
& function(B) )
=> ! [C] :
( ( relation(C)
& function(C) )
=> ( in(A,relation_rng(relation_composition(C,B)))
=> in(A,relation_rng(B)) ) ) ),
inference(negated_conjecture,[status(cth)],[f30]) ).
fof(f45,plain,
! [A] :
( ~ relation(A)
| ~ function(A)
| ! [B] :
( B = relation_rng(A)
<=> ! [C] :
( in(C,B)
<=> ? [D] :
( in(D,relation_dom(A))
& C = apply(A,D) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f4]) ).
fof(f46,plain,
! [A] :
( ~ relation(A)
| ~ function(A)
| ! [B] :
( ( B != relation_rng(A)
| ! [C] :
( ( ~ in(C,B)
| ? [D] :
( in(D,relation_dom(A))
& C = apply(A,D) ) )
& ( in(C,B)
| ! [D] :
( ~ in(D,relation_dom(A))
| C != apply(A,D) ) ) ) )
& ( B = relation_rng(A)
| ? [C] :
( ( ~ in(C,B)
| ! [D] :
( ~ in(D,relation_dom(A))
| C != apply(A,D) ) )
& ( in(C,B)
| ? [D] :
( in(D,relation_dom(A))
& C = apply(A,D) ) ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f45]) ).
fof(f47,plain,
! [A] :
( ~ relation(A)
| ~ function(A)
| ( ! [B] :
( B != relation_rng(A)
| ( ! [C] :
( ~ in(C,B)
| ? [D] :
( in(D,relation_dom(A))
& C = apply(A,D) ) )
& ! [C] :
( in(C,B)
| ! [D] :
( ~ in(D,relation_dom(A))
| C != apply(A,D) ) ) ) )
& ! [B] :
( B = relation_rng(A)
| ? [C] :
( ( ~ in(C,B)
| ! [D] :
( ~ in(D,relation_dom(A))
| C != apply(A,D) ) )
& ( in(C,B)
| ? [D] :
( in(D,relation_dom(A))
& C = apply(A,D) ) ) ) ) ) ),
inference(miniscoping,[status(esa)],[f46]) ).
fof(f48,plain,
! [A] :
( ~ relation(A)
| ~ function(A)
| ( ! [B] :
( B != relation_rng(A)
| ( ! [C] :
( ~ in(C,B)
| ( in(sk0_0(C,B,A),relation_dom(A))
& C = apply(A,sk0_0(C,B,A)) ) )
& ! [C] :
( in(C,B)
| ! [D] :
( ~ in(D,relation_dom(A))
| C != apply(A,D) ) ) ) )
& ! [B] :
( B = relation_rng(A)
| ( ( ~ in(sk0_1(B,A),B)
| ! [D] :
( ~ in(D,relation_dom(A))
| sk0_1(B,A) != apply(A,D) ) )
& ( in(sk0_1(B,A),B)
| ( in(sk0_2(B,A),relation_dom(A))
& sk0_1(B,A) = apply(A,sk0_2(B,A)) ) ) ) ) ) ),
inference(skolemization,[status(esa)],[f47]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ~ relation(X0)
| ~ function(X0)
| X1 != relation_rng(X0)
| ~ in(X2,X1)
| in(sk0_0(X2,X1,X0),relation_dom(X0)) ),
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ~ relation(X0)
| ~ function(X0)
| X1 != relation_rng(X0)
| ~ in(X2,X1)
| X2 = apply(X0,sk0_0(X2,X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f51,plain,
! [X0,X1,X2,X3] :
( ~ relation(X0)
| ~ function(X0)
| X1 != relation_rng(X0)
| in(X2,X1)
| ~ in(X3,relation_dom(X0))
| X2 != apply(X0,X3) ),
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f55,plain,
! [A,B] :
( ~ relation(A)
| ~ relation(B)
| relation(relation_composition(A,B)) ),
inference(pre_NNF_transformation,[status(esa)],[f5]) ).
fof(f56,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ relation(X1)
| relation(relation_composition(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f65,plain,
! [A,B] :
( ~ relation(A)
| ~ function(A)
| ~ relation(B)
| ~ function(B)
| ( relation(relation_composition(A,B))
& function(relation_composition(A,B)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f67,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1)
| function(relation_composition(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f85,plain,
( relation(sk0_4)
& function(sk0_4) ),
inference(skolemization,[status(esa)],[f18]) ).
fof(f86,plain,
relation(sk0_4),
inference(cnf_transformation,[status(esa)],[f85]) ).
fof(f87,plain,
function(sk0_4),
inference(cnf_transformation,[status(esa)],[f85]) ).
fof(f97,plain,
( ~ empty(sk0_8)
& relation(sk0_8) ),
inference(skolemization,[status(esa)],[f22]) ).
fof(f99,plain,
relation(sk0_8),
inference(cnf_transformation,[status(esa)],[f97]) ).
fof(f105,plain,
( relation(sk0_11)
& relation_empty_yielding(sk0_11) ),
inference(skolemization,[status(esa)],[f25]) ).
fof(f106,plain,
relation(sk0_11),
inference(cnf_transformation,[status(esa)],[f105]) ).
fof(f112,plain,
! [A,B] :
( ~ relation(B)
| ~ function(B)
| ! [C] :
( ~ relation(C)
| ~ function(C)
| ( in(A,relation_dom(relation_composition(C,B)))
<=> ( in(A,relation_dom(C))
& in(apply(C,A),relation_dom(B)) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f28]) ).
fof(f113,plain,
! [A,B] :
( ~ relation(B)
| ~ function(B)
| ! [C] :
( ~ relation(C)
| ~ function(C)
| ( ( ~ in(A,relation_dom(relation_composition(C,B)))
| ( in(A,relation_dom(C))
& in(apply(C,A),relation_dom(B)) ) )
& ( in(A,relation_dom(relation_composition(C,B)))
| ~ in(A,relation_dom(C))
| ~ in(apply(C,A),relation_dom(B)) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f112]) ).
fof(f114,plain,
! [B] :
( ~ relation(B)
| ~ function(B)
| ! [C] :
( ~ relation(C)
| ~ function(C)
| ( ! [A] :
( ~ in(A,relation_dom(relation_composition(C,B)))
| ( in(A,relation_dom(C))
& in(apply(C,A),relation_dom(B)) ) )
& ! [A] :
( in(A,relation_dom(relation_composition(C,B)))
| ~ in(A,relation_dom(C))
| ~ in(apply(C,A),relation_dom(B)) ) ) ) ),
inference(miniscoping,[status(esa)],[f113]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_dom(relation_composition(X1,X0)))
| in(apply(X1,X2),relation_dom(X0)) ),
inference(cnf_transformation,[status(esa)],[f114]) ).
fof(f118,plain,
! [A,B] :
( ~ relation(B)
| ~ function(B)
| ! [C] :
( ~ relation(C)
| ~ function(C)
| ~ in(A,relation_dom(relation_composition(C,B)))
| apply(relation_composition(C,B),A) = apply(B,apply(C,A)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f29]) ).
fof(f119,plain,
! [B] :
( ~ relation(B)
| ~ function(B)
| ! [C] :
( ~ relation(C)
| ~ function(C)
| ! [A] :
( ~ in(A,relation_dom(relation_composition(C,B)))
| apply(relation_composition(C,B),A) = apply(B,apply(C,A)) ) ) ),
inference(miniscoping,[status(esa)],[f118]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_dom(relation_composition(X1,X0)))
| apply(relation_composition(X1,X0),X2) = apply(X0,apply(X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f119]) ).
fof(f121,plain,
? [A,B] :
( relation(B)
& function(B)
& ? [C] :
( relation(C)
& function(C)
& in(A,relation_rng(relation_composition(C,B)))
& ~ in(A,relation_rng(B)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f31]) ).
fof(f122,plain,
? [B] :
( relation(B)
& function(B)
& ? [C] :
( relation(C)
& function(C)
& ? [A] :
( in(A,relation_rng(relation_composition(C,B)))
& ~ in(A,relation_rng(B)) ) ) ),
inference(miniscoping,[status(esa)],[f121]) ).
fof(f123,plain,
( relation(sk0_12)
& function(sk0_12)
& relation(sk0_13)
& function(sk0_13)
& in(sk0_14,relation_rng(relation_composition(sk0_13,sk0_12)))
& ~ in(sk0_14,relation_rng(sk0_12)) ),
inference(skolemization,[status(esa)],[f122]) ).
fof(f124,plain,
relation(sk0_12),
inference(cnf_transformation,[status(esa)],[f123]) ).
fof(f125,plain,
function(sk0_12),
inference(cnf_transformation,[status(esa)],[f123]) ).
fof(f126,plain,
relation(sk0_13),
inference(cnf_transformation,[status(esa)],[f123]) ).
fof(f127,plain,
function(sk0_13),
inference(cnf_transformation,[status(esa)],[f123]) ).
fof(f128,plain,
in(sk0_14,relation_rng(relation_composition(sk0_13,sk0_12))),
inference(cnf_transformation,[status(esa)],[f123]) ).
fof(f129,plain,
~ in(sk0_14,relation_rng(sk0_12)),
inference(cnf_transformation,[status(esa)],[f123]) ).
fof(f150,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ function(X0)
| ~ in(X1,relation_rng(X0))
| in(sk0_0(X1,relation_rng(X0),X0),relation_dom(X0)) ),
inference(destructive_equality_resolution,[status(esa)],[f49]) ).
fof(f151,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ function(X0)
| ~ in(X1,relation_rng(X0))
| X1 = apply(X0,sk0_0(X1,relation_rng(X0),X0)) ),
inference(destructive_equality_resolution,[status(esa)],[f50]) ).
fof(f152,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ function(X0)
| in(apply(X0,X1),relation_rng(X0))
| ~ in(X1,relation_dom(X0)) ),
inference(destructive_equality_resolution,[status(esa)],[f51]) ).
fof(f909,plain,
( spl0_14
<=> relation(relation_composition(sk0_13,sk0_12)) ),
introduced(split_symbol_definition) ).
fof(f911,plain,
( ~ relation(relation_composition(sk0_13,sk0_12))
| spl0_14 ),
inference(component_clause,[status(thm)],[f909]) ).
fof(f912,plain,
( spl0_15
<=> function(relation_composition(sk0_13,sk0_12)) ),
introduced(split_symbol_definition) ).
fof(f914,plain,
( ~ function(relation_composition(sk0_13,sk0_12))
| spl0_15 ),
inference(component_clause,[status(thm)],[f912]) ).
fof(f915,plain,
( spl0_16
<=> in(sk0_0(sk0_14,relation_rng(relation_composition(sk0_13,sk0_12)),relation_composition(sk0_13,sk0_12)),relation_dom(relation_composition(sk0_13,sk0_12))) ),
introduced(split_symbol_definition) ).
fof(f916,plain,
( in(sk0_0(sk0_14,relation_rng(relation_composition(sk0_13,sk0_12)),relation_composition(sk0_13,sk0_12)),relation_dom(relation_composition(sk0_13,sk0_12)))
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f915]) ).
fof(f918,plain,
( ~ relation(relation_composition(sk0_13,sk0_12))
| ~ function(relation_composition(sk0_13,sk0_12))
| in(sk0_0(sk0_14,relation_rng(relation_composition(sk0_13,sk0_12)),relation_composition(sk0_13,sk0_12)),relation_dom(relation_composition(sk0_13,sk0_12))) ),
inference(resolution,[status(thm)],[f150,f128]) ).
fof(f919,plain,
( ~ spl0_14
| ~ spl0_15
| spl0_16 ),
inference(split_clause,[status(thm)],[f918,f909,f912,f915]) ).
fof(f928,plain,
( spl0_19
<=> sk0_14 = apply(relation_composition(sk0_13,sk0_12),sk0_0(sk0_14,relation_rng(relation_composition(sk0_13,sk0_12)),relation_composition(sk0_13,sk0_12))) ),
introduced(split_symbol_definition) ).
fof(f929,plain,
( sk0_14 = apply(relation_composition(sk0_13,sk0_12),sk0_0(sk0_14,relation_rng(relation_composition(sk0_13,sk0_12)),relation_composition(sk0_13,sk0_12)))
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f928]) ).
fof(f931,plain,
( ~ relation(relation_composition(sk0_13,sk0_12))
| ~ function(relation_composition(sk0_13,sk0_12))
| sk0_14 = apply(relation_composition(sk0_13,sk0_12),sk0_0(sk0_14,relation_rng(relation_composition(sk0_13,sk0_12)),relation_composition(sk0_13,sk0_12))) ),
inference(resolution,[status(thm)],[f151,f128]) ).
fof(f932,plain,
( ~ spl0_14
| ~ spl0_15
| spl0_19 ),
inference(split_clause,[status(thm)],[f931,f909,f912,f928]) ).
fof(f963,plain,
( spl0_21
<=> relation(sk0_13) ),
introduced(split_symbol_definition) ).
fof(f965,plain,
( ~ relation(sk0_13)
| spl0_21 ),
inference(component_clause,[status(thm)],[f963]) ).
fof(f966,plain,
( spl0_22
<=> function(sk0_13) ),
introduced(split_symbol_definition) ).
fof(f968,plain,
( ~ function(sk0_13)
| spl0_22 ),
inference(component_clause,[status(thm)],[f966]) ).
fof(f969,plain,
( spl0_23
<=> relation(sk0_12) ),
introduced(split_symbol_definition) ).
fof(f971,plain,
( ~ relation(sk0_12)
| spl0_23 ),
inference(component_clause,[status(thm)],[f969]) ).
fof(f972,plain,
( spl0_24
<=> function(sk0_12) ),
introduced(split_symbol_definition) ).
fof(f974,plain,
( ~ function(sk0_12)
| spl0_24 ),
inference(component_clause,[status(thm)],[f972]) ).
fof(f975,plain,
( ~ relation(sk0_13)
| ~ function(sk0_13)
| ~ relation(sk0_12)
| ~ function(sk0_12)
| spl0_15 ),
inference(resolution,[status(thm)],[f914,f67]) ).
fof(f976,plain,
( ~ spl0_21
| ~ spl0_22
| ~ spl0_23
| ~ spl0_24
| spl0_15 ),
inference(split_clause,[status(thm)],[f975,f963,f966,f969,f972,f912]) ).
fof(f978,plain,
( $false
| spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f974,f125]) ).
fof(f979,plain,
spl0_24,
inference(contradiction_clause,[status(thm)],[f978]) ).
fof(f980,plain,
( $false
| spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f971,f124]) ).
fof(f981,plain,
spl0_23,
inference(contradiction_clause,[status(thm)],[f980]) ).
fof(f982,plain,
( $false
| spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f968,f127]) ).
fof(f983,plain,
spl0_22,
inference(contradiction_clause,[status(thm)],[f982]) ).
fof(f984,plain,
( $false
| spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f965,f126]) ).
fof(f985,plain,
spl0_21,
inference(contradiction_clause,[status(thm)],[f984]) ).
fof(f996,plain,
( ~ relation(sk0_13)
| ~ relation(sk0_12)
| spl0_14 ),
inference(resolution,[status(thm)],[f911,f56]) ).
fof(f997,plain,
( ~ spl0_21
| ~ spl0_23
| spl0_14 ),
inference(split_clause,[status(thm)],[f996,f963,f969,f909]) ).
fof(f2725,plain,
( spl0_33
<=> in(apply(sk0_13,sk0_0(sk0_14,relation_rng(relation_composition(sk0_13,sk0_12)),relation_composition(sk0_13,sk0_12))),relation_dom(sk0_12)) ),
introduced(split_symbol_definition) ).
fof(f2726,plain,
( in(apply(sk0_13,sk0_0(sk0_14,relation_rng(relation_composition(sk0_13,sk0_12)),relation_composition(sk0_13,sk0_12))),relation_dom(sk0_12))
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f2725]) ).
fof(f2728,plain,
( ~ relation(sk0_12)
| ~ function(sk0_12)
| ~ relation(sk0_13)
| ~ function(sk0_13)
| in(apply(sk0_13,sk0_0(sk0_14,relation_rng(relation_composition(sk0_13,sk0_12)),relation_composition(sk0_13,sk0_12))),relation_dom(sk0_12))
| ~ spl0_16 ),
inference(resolution,[status(thm)],[f116,f916]) ).
fof(f2729,plain,
( ~ spl0_23
| ~ spl0_24
| ~ spl0_21
| ~ spl0_22
| spl0_33
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f2728,f969,f972,f963,f966,f2725,f915]) ).
fof(f2739,plain,
( spl0_35
<=> apply(relation_composition(sk0_13,sk0_12),sk0_0(sk0_14,relation_rng(relation_composition(sk0_13,sk0_12)),relation_composition(sk0_13,sk0_12))) = apply(sk0_12,apply(sk0_13,sk0_0(sk0_14,relation_rng(relation_composition(sk0_13,sk0_12)),relation_composition(sk0_13,sk0_12)))) ),
introduced(split_symbol_definition) ).
fof(f2740,plain,
( apply(relation_composition(sk0_13,sk0_12),sk0_0(sk0_14,relation_rng(relation_composition(sk0_13,sk0_12)),relation_composition(sk0_13,sk0_12))) = apply(sk0_12,apply(sk0_13,sk0_0(sk0_14,relation_rng(relation_composition(sk0_13,sk0_12)),relation_composition(sk0_13,sk0_12))))
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f2739]) ).
fof(f2742,plain,
( ~ relation(sk0_12)
| ~ function(sk0_12)
| ~ relation(sk0_13)
| ~ function(sk0_13)
| apply(relation_composition(sk0_13,sk0_12),sk0_0(sk0_14,relation_rng(relation_composition(sk0_13,sk0_12)),relation_composition(sk0_13,sk0_12))) = apply(sk0_12,apply(sk0_13,sk0_0(sk0_14,relation_rng(relation_composition(sk0_13,sk0_12)),relation_composition(sk0_13,sk0_12))))
| ~ spl0_16 ),
inference(resolution,[status(thm)],[f120,f916]) ).
fof(f2743,plain,
( ~ spl0_23
| ~ spl0_24
| ~ spl0_21
| ~ spl0_22
| spl0_35
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f2742,f969,f972,f963,f966,f2739,f915]) ).
fof(f2748,plain,
( sk0_14 = apply(sk0_12,apply(sk0_13,sk0_0(sk0_14,relation_rng(relation_composition(sk0_13,sk0_12)),relation_composition(sk0_13,sk0_12))))
| ~ spl0_19
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f929,f2740]) ).
fof(f2808,plain,
( spl0_38
<=> relation(sk0_4) ),
introduced(split_symbol_definition) ).
fof(f2810,plain,
( ~ relation(sk0_4)
| spl0_38 ),
inference(component_clause,[status(thm)],[f2808]) ).
fof(f2867,plain,
( $false
| spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f2810,f86]) ).
fof(f2868,plain,
spl0_38,
inference(contradiction_clause,[status(thm)],[f2867]) ).
fof(f2879,plain,
( spl0_52
<=> function(sk0_4) ),
introduced(split_symbol_definition) ).
fof(f2881,plain,
( ~ function(sk0_4)
| spl0_52 ),
inference(component_clause,[status(thm)],[f2879]) ).
fof(f2885,plain,
( $false
| spl0_52 ),
inference(forward_subsumption_resolution,[status(thm)],[f2881,f87]) ).
fof(f2886,plain,
spl0_52,
inference(contradiction_clause,[status(thm)],[f2885]) ).
fof(f2889,plain,
( spl0_53
<=> in(apply(sk0_12,apply(sk0_13,sk0_0(sk0_14,relation_rng(relation_composition(sk0_13,sk0_12)),relation_composition(sk0_13,sk0_12)))),relation_rng(sk0_12)) ),
introduced(split_symbol_definition) ).
fof(f2890,plain,
( in(apply(sk0_12,apply(sk0_13,sk0_0(sk0_14,relation_rng(relation_composition(sk0_13,sk0_12)),relation_composition(sk0_13,sk0_12)))),relation_rng(sk0_12))
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f2889]) ).
fof(f2892,plain,
( ~ relation(sk0_12)
| ~ function(sk0_12)
| in(apply(sk0_12,apply(sk0_13,sk0_0(sk0_14,relation_rng(relation_composition(sk0_13,sk0_12)),relation_composition(sk0_13,sk0_12)))),relation_rng(sk0_12))
| ~ spl0_33 ),
inference(resolution,[status(thm)],[f2726,f152]) ).
fof(f2893,plain,
( ~ spl0_23
| ~ spl0_24
| spl0_53
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f2892,f969,f972,f2889,f2725]) ).
fof(f2895,plain,
( spl0_54
<=> relation(sk0_8) ),
introduced(split_symbol_definition) ).
fof(f2897,plain,
( ~ relation(sk0_8)
| spl0_54 ),
inference(component_clause,[status(thm)],[f2895]) ).
fof(f2936,plain,
( $false
| spl0_54 ),
inference(forward_subsumption_resolution,[status(thm)],[f2897,f99]) ).
fof(f2937,plain,
spl0_54,
inference(contradiction_clause,[status(thm)],[f2936]) ).
fof(f2958,plain,
( spl0_63
<=> relation(sk0_11) ),
introduced(split_symbol_definition) ).
fof(f2960,plain,
( ~ relation(sk0_11)
| spl0_63 ),
inference(component_clause,[status(thm)],[f2958]) ).
fof(f2999,plain,
( $false
| spl0_63 ),
inference(forward_subsumption_resolution,[status(thm)],[f2960,f106]) ).
fof(f3000,plain,
spl0_63,
inference(contradiction_clause,[status(thm)],[f2999]) ).
fof(f3271,plain,
( in(sk0_14,relation_rng(sk0_12))
| ~ spl0_19
| ~ spl0_35
| ~ spl0_53 ),
inference(forward_demodulation,[status(thm)],[f2748,f2890]) ).
fof(f3272,plain,
( $false
| ~ spl0_19
| ~ spl0_35
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[status(thm)],[f3271,f129]) ).
fof(f3273,plain,
( ~ spl0_19
| ~ spl0_35
| ~ spl0_53 ),
inference(contradiction_clause,[status(thm)],[f3272]) ).
fof(f3274,plain,
$false,
inference(sat_refutation,[status(thm)],[f919,f932,f976,f979,f981,f983,f985,f997,f2729,f2743,f2868,f2886,f2893,f2937,f3000,f3273]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU002+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue May 30 09:09:25 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 2.53/0.71 % Refutation found
% 2.53/0.71 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.53/0.71 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.53/0.73 % Elapsed time: 0.373702 seconds
% 2.53/0.73 % CPU time: 2.842506 seconds
% 2.53/0.73 % Memory used: 82.426 MB
%------------------------------------------------------------------------------