%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU017+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 02:19:05 PM UTC 2026
% Result : Theorem 0.08s 0.42s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 9
% Syntax : Number of formulae : 88 ( 12 unt; 0 def)
% Number of atoms : 429 ( 127 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 566 ( 225 ~; 230 |; 86 &)
% ( 9 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 3 con; 0-3 aty)
% Number of variables : 163 ( 145 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [A] :
( ( function(A)
& relation(A) )
=> ! [B] :
( B = relation_rng(A)
<=> ! [C] :
( in(C,B)
<=> ? [D] :
( C = apply(A,D)
& in(D,relation_dom(A)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A] :
( ( function(A)
& relation(A) )
=> ( one_to_one(A)
<=> ! [B,C] :
( ( apply(A,B) = apply(A,C)
& in(C,relation_dom(A))
& in(B,relation_dom(A)) )
=> B = C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [A,B] :
( ( function(B)
& relation(B) )
=> ! [C] :
( ( function(C)
& relation(C) )
=> ( in(A,relation_dom(B))
=> apply(relation_composition(B,C),A) = apply(C,apply(B,A)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [A,B] :
( element(A,B)
=> ( in(A,B)
| empty(B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [A,B] :
( ( function(B)
& relation(B) )
=> ( B = identity_relation(A)
<=> ( ! [C] :
( in(C,A)
=> apply(B,C) = C )
& relation_dom(B) = A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [A,B] :
( element(A,powerset(B))
<=> subset(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [A,B,C] :
( ( element(B,powerset(C))
& in(A,B) )
=> element(A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,conjecture,
! [A,B] :
( ( function(B)
& relation(B) )
=> ! [C] :
( ( function(C)
& relation(C) )
=> ( ( relation_composition(C,B) = B
& one_to_one(B)
& subset(relation_rng(C),A)
& relation_dom(C) = A
& relation_dom(B) = A )
=> C = identity_relation(A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
~ ! [A,B] :
( ( function(B)
& relation(B) )
=> ! [C] :
( ( function(C)
& relation(C) )
=> ( ( relation_composition(C,B) = B
& one_to_one(B)
& subset(relation_rng(C),A)
& relation_dom(C) = A
& relation_dom(B) = A )
=> C = identity_relation(A) ) ) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f40,axiom,
! [A,B] :
~ ( empty(B)
& in(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,plain,
! [A] :
( ! [B] :
( B = relation_rng(A)
<=> ! [C] :
( in(C,B)
<=> ? [D] :
( C = apply(A,D)
& in(D,relation_dom(A)) ) ) )
| ~ function(A)
| ~ relation(A) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f49,plain,
! [A] :
( ! [B] :
( ( ? [C] :
( ( ? [D] :
( C = apply(A,D)
& in(D,relation_dom(A)) )
| in(C,B) )
& ( ! [D] :
( C != apply(A,D)
| ~ in(D,relation_dom(A)) )
| ~ in(C,B) ) )
| B = relation_rng(A) )
& ( ! [C] :
( ( ! [D] :
( C != apply(A,D)
| ~ in(D,relation_dom(A)) )
| in(C,B) )
& ( ? [D] :
( C = apply(A,D)
& in(D,relation_dom(A)) )
| ~ in(C,B) ) )
| B != relation_rng(A) ) )
| ~ function(A)
| ~ relation(A) ),
inference(NNF_transformation,[status(thm)],[f48]) ).
fof(f50,plain,
! [A] :
( ( ! [B] :
( ? [C] :
( ( ? [D] :
( C = apply(A,D)
& in(D,relation_dom(A)) )
| in(C,B) )
& ( ! [D] :
( C != apply(A,D)
| ~ in(D,relation_dom(A)) )
| ~ in(C,B) ) )
| B = relation_rng(A) )
& ! [B] :
( ( ! [C] :
( ! [D] :
( C != apply(A,D)
| ~ in(D,relation_dom(A)) )
| in(C,B) )
& ! [C] :
( ? [D] :
( C = apply(A,D)
& in(D,relation_dom(A)) )
| ~ in(C,B) ) )
| B != relation_rng(A) ) )
| ~ function(A)
| ~ relation(A) ),
inference(miniscoping,[status(thm)],[f49]) ).
fof(f51,plain,
! [A] :
( ( ! [B] :
( ( ( ( sK1_skl(B,A) = apply(A,sK2_skl(B,A))
& in(sK2_skl(B,A),relation_dom(A)) )
| in(sK1_skl(B,A),B) )
& ( ! [D] :
( sK1_skl(B,A) != apply(A,D)
| ~ in(D,relation_dom(A)) )
| ~ in(sK1_skl(B,A),B) ) )
| B = relation_rng(A) )
& ! [B] :
( ( ! [C] :
( ! [D] :
( C != apply(A,D)
| ~ in(D,relation_dom(A)) )
| in(C,B) )
& ! [C] :
( ( C = apply(A,sK0_skl(C,B,A))
& in(sK0_skl(C,B,A),relation_dom(A)) )
| ~ in(C,B) ) )
| B != relation_rng(A) ) )
| ~ function(A)
| ~ relation(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(D,sK0_skl(C,B,A)),skolemize(C,sK1_skl(B,A)),skolemize(D,sK2_skl(B,A))],[f50]) ).
fof(f54,plain,
! [X0,X1,X2,X3] :
( X2 != apply(X0,X3)
| ~ in(X3,relation_dom(X0))
| in(X2,X1)
| X1 != relation_rng(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f58,plain,
! [A] :
( ( one_to_one(A)
<=> ! [B,C] :
( B = C
| apply(A,B) != apply(A,C)
| ~ in(C,relation_dom(A))
| ~ in(B,relation_dom(A)) ) )
| ~ function(A)
| ~ relation(A) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f59,plain,
! [A] :
( ( ( ? [B,C] :
( B != C
& apply(A,B) = apply(A,C)
& in(C,relation_dom(A))
& in(B,relation_dom(A)) )
| one_to_one(A) )
& ( ! [B,C] :
( B = C
| apply(A,B) != apply(A,C)
| ~ in(C,relation_dom(A))
| ~ in(B,relation_dom(A)) )
| ~ one_to_one(A) ) )
| ~ function(A)
| ~ relation(A) ),
inference(NNF_transformation,[status(thm)],[f58]) ).
fof(f60,plain,
! [A] :
( ( ( ( sK3_skl(A) != sK4_skl(A)
& apply(A,sK3_skl(A)) = apply(A,sK4_skl(A))
& in(sK4_skl(A),relation_dom(A))
& in(sK3_skl(A),relation_dom(A)) )
| one_to_one(A) )
& ( ! [B,C] :
( B = C
| apply(A,B) != apply(A,C)
| ~ in(C,relation_dom(A))
| ~ in(B,relation_dom(A)) )
| ~ one_to_one(A) ) )
| ~ function(A)
| ~ relation(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl]),skolemize(B,sK3_skl(A)),skolemize(C,sK4_skl(A))],[f59]) ).
fof(f61,plain,
! [X0,X1,X2] :
( X1 = X2
| apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0))
| ~ in(X1,relation_dom(X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f127,plain,
! [A,B] :
( ! [C] :
( apply(relation_composition(B,C),A) = apply(C,apply(B,A))
| ~ in(A,relation_dom(B))
| ~ function(C)
| ~ relation(C) )
| ~ function(B)
| ~ relation(B) ),
inference(pre_NNF_transformation,[status(thm)],[f31]) ).
fof(f128,plain,
! [B] :
( ! [C] :
( ! [A] :
( apply(relation_composition(B,C),A) = apply(C,apply(B,A))
| ~ in(A,relation_dom(B)) )
| ~ function(C)
| ~ relation(C) )
| ~ function(B)
| ~ relation(B) ),
inference(miniscoping,[status(thm)],[f127]) ).
fof(f129,plain,
! [X0,X1,X2] :
( apply(relation_composition(X0,X1),X2) = apply(X1,apply(X0,X2))
| ~ in(X2,relation_dom(X0))
| ~ function(X1)
| ~ relation(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f128]) ).
fof(f130,plain,
! [A,B] :
( in(A,B)
| empty(B)
| ~ element(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f32]) ).
fof(f131,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f130]) ).
fof(f132,plain,
! [A,B] :
( ( B = identity_relation(A)
<=> ( ! [C] :
( apply(B,C) = C
| ~ in(C,A) )
& relation_dom(B) = A ) )
| ~ function(B)
| ~ relation(B) ),
inference(pre_NNF_transformation,[status(thm)],[f33]) ).
fof(f133,plain,
! [A,B] :
( ( ( ? [C] :
( apply(B,C) != C
& in(C,A) )
| relation_dom(B) != A
| B = identity_relation(A) )
& ( ( ! [C] :
( apply(B,C) = C
| ~ in(C,A) )
& relation_dom(B) = A )
| B != identity_relation(A) ) )
| ~ function(B)
| ~ relation(B) ),
inference(NNF_transformation,[status(thm)],[f132]) ).
fof(f134,plain,
! [B] :
( ( ! [A] :
( ? [C] :
( apply(B,C) != C
& in(C,A) )
| relation_dom(B) != A
| B = identity_relation(A) )
& ! [A] :
( ( ! [C] :
( apply(B,C) = C
| ~ in(C,A) )
& relation_dom(B) = A )
| B != identity_relation(A) ) )
| ~ function(B)
| ~ relation(B) ),
inference(miniscoping,[status(thm)],[f133]) ).
fof(f135,plain,
! [B] :
( ( ! [A] :
( ( apply(B,sK14_skl(A,B)) != sK14_skl(A,B)
& in(sK14_skl(A,B),A) )
| relation_dom(B) != A
| B = identity_relation(A) )
& ! [A] :
( ( ! [C] :
( apply(B,C) = C
| ~ in(C,A) )
& relation_dom(B) = A )
| B != identity_relation(A) ) )
| ~ function(B)
| ~ relation(B) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14_skl]),skolemize(C,sK14_skl(A,B))],[f134]) ).
fof(f138,plain,
! [X0,X1] :
( in(sK14_skl(X1,X0),X1)
| relation_dom(X0) != X1
| X0 = identity_relation(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f139,plain,
! [X0,X1] :
( apply(X0,sK14_skl(X1,X0)) != sK14_skl(X1,X0)
| relation_dom(X0) != X1
| X0 = identity_relation(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f140,plain,
! [A,B] :
( ( ~ subset(A,B)
| element(A,powerset(B)) )
& ( subset(A,B)
| ~ element(A,powerset(B)) ) ),
inference(NNF_transformation,[status(thm)],[f34]) ).
fof(f141,plain,
( ! [A,B] :
( ~ subset(A,B)
| element(A,powerset(B)) )
& ! [A,B] :
( subset(A,B)
| ~ element(A,powerset(B)) ) ),
inference(miniscoping,[status(thm)],[f140]) ).
fof(f143,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| element(X0,powerset(X1)) ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f144,plain,
! [A,B,C] :
( element(A,C)
| ~ element(B,powerset(C))
| ~ in(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f35]) ).
fof(f145,plain,
! [A,C] :
( element(A,C)
| ! [B] :
( ~ element(B,powerset(C))
| ~ in(A,B) ) ),
inference(miniscoping,[status(thm)],[f144]) ).
fof(f146,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f145]) ).
fof(f147,plain,
? [A,B] :
( ? [C] :
( C != identity_relation(A)
& relation_composition(C,B) = B
& one_to_one(B)
& subset(relation_rng(C),A)
& relation_dom(C) = A
& relation_dom(B) = A
& function(C)
& relation(C) )
& function(B)
& relation(B) ),
inference(pre_NNF_transformation,[status(thm)],[f37]) ).
fof(f148,plain,
? [B] :
( ? [C] :
( ? [A] :
( C != identity_relation(A)
& relation_composition(C,B) = B
& one_to_one(B)
& subset(relation_rng(C),A)
& relation_dom(C) = A
& relation_dom(B) = A )
& function(C)
& relation(C) )
& function(B)
& relation(B) ),
inference(miniscoping,[status(thm)],[f147]) ).
fof(f149,plain,
( sK16_skl != identity_relation(sK17_skl)
& relation_composition(sK16_skl,sK15_skl) = sK15_skl
& one_to_one(sK15_skl)
& subset(relation_rng(sK16_skl),sK17_skl)
& relation_dom(sK16_skl) = sK17_skl
& relation_dom(sK15_skl) = sK17_skl
& function(sK16_skl)
& relation(sK16_skl)
& function(sK15_skl)
& relation(sK15_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl,sK16_skl,sK17_skl]),skolemize(B,sK15_skl),skolemize(C,sK16_skl),skolemize(A,sK17_skl)],[f148]) ).
fof(f150,plain,
relation(sK15_skl),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f151,plain,
function(sK15_skl),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f152,plain,
relation(sK16_skl),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f153,plain,
function(sK16_skl),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f154,plain,
relation_dom(sK15_skl) = sK17_skl,
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f155,plain,
relation_dom(sK16_skl) = sK17_skl,
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f156,plain,
subset(relation_rng(sK16_skl),sK17_skl),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f157,plain,
one_to_one(sK15_skl),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f158,plain,
relation_composition(sK16_skl,sK15_skl) = sK15_skl,
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f159,plain,
sK16_skl != identity_relation(sK17_skl),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f165,plain,
! [A,B] :
( ~ empty(B)
| ~ in(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f40]) ).
fof(f166,plain,
! [B] :
( ~ empty(B)
| ! [A] : ~ in(A,B) ),
inference(miniscoping,[status(thm)],[f165]) ).
fof(f167,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f166]) ).
fof(f173,plain,
! [X0,X1] :
( ~ in(X1,relation_dom(X0))
| in(apply(X0,X1),relation_rng(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f54]) ).
fof(f176,plain,
! [X0] :
( in(sK14_skl(relation_dom(X0),X0),relation_dom(X0))
| X0 = identity_relation(relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f138]) ).
fof(f177,plain,
! [X0] :
( apply(X0,sK14_skl(relation_dom(X0),X0)) != sK14_skl(relation_dom(X0),X0)
| X0 = identity_relation(relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f139]) ).
fof(f298,plain,
! [X0] :
( apply(sK15_skl,X0) = apply(sK15_skl,apply(sK16_skl,X0))
| ~ in(X0,relation_dom(sK16_skl))
| ~ function(sK15_skl)
| ~ relation(sK15_skl)
| ~ function(sK16_skl)
| ~ relation(sK16_skl) ),
inference(paramodulation,[status(thm)],[f158,f129]) ).
fof(f299,plain,
! [X0] :
( apply(sK15_skl,X0) = apply(sK15_skl,apply(sK16_skl,X0))
| ~ in(X0,sK17_skl)
| ~ function(sK15_skl)
| ~ relation(sK15_skl)
| ~ function(sK16_skl)
| ~ relation(sK16_skl) ),
inference(forward_demodulation,[status(thm)],[f155,f298]) ).
fof(f300,plain,
! [X0] :
( apply(sK15_skl,X0) = apply(sK15_skl,apply(sK16_skl,X0))
| ~ in(X0,sK17_skl)
| ~ function(sK15_skl)
| ~ relation(sK15_skl)
| ~ function(sK16_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f299,f152]) ).
fof(f338,plain,
( in(sK14_skl(sK17_skl,sK16_skl),relation_dom(sK16_skl))
| sK16_skl = identity_relation(relation_dom(sK16_skl))
| ~ function(sK16_skl)
| ~ relation(sK16_skl) ),
inference(paramodulation,[status(thm)],[f155,f176]) ).
fof(f342,plain,
( in(sK14_skl(sK17_skl,sK16_skl),relation_dom(sK16_skl))
| sK16_skl = identity_relation(sK17_skl)
| ~ function(sK16_skl)
| ~ relation(sK16_skl) ),
inference(forward_demodulation,[status(thm)],[f155,f338]) ).
fof(f343,plain,
( in(sK14_skl(sK17_skl,sK16_skl),sK17_skl)
| sK16_skl = identity_relation(sK17_skl)
| ~ function(sK16_skl)
| ~ relation(sK16_skl) ),
inference(forward_demodulation,[status(thm)],[f155,f342]) ).
fof(f344,plain,
( in(sK14_skl(sK17_skl,sK16_skl),sK17_skl)
| sK16_skl = identity_relation(sK17_skl)
| ~ function(sK16_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f343,f152]) ).
fof(f355,plain,
( apply(sK16_skl,sK14_skl(sK17_skl,sK16_skl)) != sK14_skl(relation_dom(sK16_skl),sK16_skl)
| sK16_skl = identity_relation(relation_dom(sK16_skl))
| ~ function(sK16_skl)
| ~ relation(sK16_skl) ),
inference(paramodulation,[status(thm)],[f155,f177]) ).
fof(f359,plain,
( apply(sK16_skl,sK14_skl(sK17_skl,sK16_skl)) != sK14_skl(relation_dom(sK16_skl),sK16_skl)
| sK16_skl = identity_relation(sK17_skl)
| ~ function(sK16_skl)
| ~ relation(sK16_skl) ),
inference(forward_demodulation,[status(thm)],[f155,f355]) ).
fof(f360,plain,
( apply(sK16_skl,sK14_skl(sK17_skl,sK16_skl)) != sK14_skl(sK17_skl,sK16_skl)
| sK16_skl = identity_relation(sK17_skl)
| ~ function(sK16_skl)
| ~ relation(sK16_skl) ),
inference(forward_demodulation,[status(thm)],[f155,f359]) ).
fof(f361,plain,
( apply(sK16_skl,sK14_skl(sK17_skl,sK16_skl)) != sK14_skl(sK17_skl,sK16_skl)
| sK16_skl = identity_relation(sK17_skl)
| ~ function(sK16_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f360,f152]) ).
fof(f399,plain,
! [X0,X1,X2] :
( ~ subset(X1,X2)
| element(X0,X2)
| ~ in(X0,X1) ),
inference(resolution,[status(thm)],[f146,f143]) ).
fof(f423,plain,
! [X0] :
( element(X0,sK17_skl)
| ~ in(X0,relation_rng(sK16_skl)) ),
inference(resolution,[status(thm)],[f399,f156]) ).
fof(f484,plain,
! [X0] :
( ~ in(X0,relation_dom(sK16_skl))
| ~ function(sK16_skl)
| ~ relation(sK16_skl)
| element(apply(sK16_skl,X0),sK17_skl) ),
inference(resolution,[status(thm)],[f423,f173]) ).
fof(f486,plain,
! [X0] :
( ~ in(X0,sK17_skl)
| ~ function(sK16_skl)
| ~ relation(sK16_skl)
| element(apply(sK16_skl,X0),sK17_skl) ),
inference(forward_demodulation,[status(thm)],[f155,f484]) ).
fof(f487,plain,
! [X0] :
( ~ in(X0,sK17_skl)
| ~ function(sK16_skl)
| element(apply(sK16_skl,X0),sK17_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f486,f152]) ).
fof(f524,plain,
! [X0] :
( apply(sK15_skl,X0) = apply(sK15_skl,apply(sK16_skl,X0))
| ~ in(X0,sK17_skl)
| ~ function(sK15_skl)
| ~ relation(sK15_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f300,f153]) ).
fof(f525,plain,
! [X0] :
( X0 = apply(sK16_skl,X0)
| ~ in(apply(sK16_skl,X0),relation_dom(sK15_skl))
| ~ in(X0,relation_dom(sK15_skl))
| ~ one_to_one(sK15_skl)
| ~ function(sK15_skl)
| ~ relation(sK15_skl)
| ~ in(X0,sK17_skl)
| ~ function(sK15_skl)
| ~ relation(sK15_skl) ),
inference(resolution,[status(thm)],[f524,f61]) ).
fof(f527,plain,
! [X0] :
( X0 = apply(sK16_skl,X0)
| ~ in(apply(sK16_skl,X0),relation_dom(sK15_skl))
| ~ in(X0,sK17_skl)
| ~ one_to_one(sK15_skl)
| ~ function(sK15_skl)
| ~ relation(sK15_skl)
| ~ in(X0,sK17_skl)
| ~ function(sK15_skl)
| ~ relation(sK15_skl) ),
inference(forward_demodulation,[status(thm)],[f154,f525]) ).
fof(f528,plain,
! [X0] :
( X0 = apply(sK16_skl,X0)
| ~ in(apply(sK16_skl,X0),sK17_skl)
| ~ in(X0,sK17_skl)
| ~ one_to_one(sK15_skl)
| ~ function(sK15_skl)
| ~ relation(sK15_skl)
| ~ in(X0,sK17_skl)
| ~ function(sK15_skl)
| ~ relation(sK15_skl) ),
inference(forward_demodulation,[status(thm)],[f154,f527]) ).
fof(f529,plain,
! [X0] :
( X0 = apply(sK16_skl,X0)
| ~ in(apply(sK16_skl,X0),sK17_skl)
| ~ one_to_one(sK15_skl)
| ~ in(X0,sK17_skl)
| ~ function(sK15_skl)
| ~ relation(sK15_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f528]) ).
fof(f530,plain,
! [X0] :
( X0 = apply(sK16_skl,X0)
| ~ in(apply(sK16_skl,X0),sK17_skl)
| ~ one_to_one(sK15_skl)
| ~ in(X0,sK17_skl)
| ~ function(sK15_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f529,f150]) ).
fof(f615,plain,
( in(sK14_skl(sK17_skl,sK16_skl),sK17_skl)
| sK16_skl = identity_relation(sK17_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f344,f153]) ).
fof(f798,plain,
( apply(sK16_skl,sK14_skl(sK17_skl,sK16_skl)) != sK14_skl(sK17_skl,sK16_skl)
| sK16_skl = identity_relation(sK17_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f361,f153]) ).
fof(f1066,plain,
! [X0] :
( X0 = apply(sK16_skl,X0)
| ~ in(apply(sK16_skl,X0),sK17_skl)
| ~ one_to_one(sK15_skl)
| ~ in(X0,sK17_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f530,f151]) ).
fof(f1336,plain,
! [X0] :
( ~ in(X0,sK17_skl)
| element(apply(sK16_skl,X0),sK17_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f487,f153]) ).
fof(f1337,plain,
! [X0] :
( in(apply(sK16_skl,X0),sK17_skl)
| empty(sK17_skl)
| ~ in(X0,sK17_skl) ),
inference(resolution,[status(thm)],[f1336,f131]) ).
fof(f1338,plain,
! [X0] :
( in(apply(sK16_skl,X0),sK17_skl)
| ~ in(X0,sK17_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f1337,f167]) ).
fof(f1342,plain,
! [X0] :
( X0 = apply(sK16_skl,X0)
| ~ one_to_one(sK15_skl)
| ~ in(X0,sK17_skl) ),
inference(backward_subsumption_resolution,[status(thm)],[f1066,f1338]) ).
fof(f1346,plain,
! [X0] :
( X0 = apply(sK16_skl,X0)
| ~ in(X0,sK17_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f1342,f157]) ).
fof(f1349,plain,
( sK16_skl = identity_relation(sK17_skl)
| ~ in(sK14_skl(sK17_skl,sK16_skl),sK17_skl) ),
inference(resolution,[status(thm)],[f1346,f798]) ).
fof(f1358,plain,
sK16_skl = identity_relation(sK17_skl),
inference(forward_subsumption_resolution,[status(thm)],[f1349,f615]) ).
fof(f1365,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1358,f159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU017+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Mon Sep 21 05:46:53 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 % Drodi V4.1.1
% 0.08/0.42 % Refutation found
% 0.08/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.43 % Elapsed time: 0.116551 seconds
% 0.08/0.43 % CPU time: 0.685845 seconds
% 0.08/0.43 % Total memory used: 125.451 MB
% 0.08/0.43 % Net memory used: 123.495 MB
%------------------------------------------------------------------------------