%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : TOP047+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:53:31 PM UTC 2026
% Result : Theorem 0.28s 0.94s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 41
% Syntax : Number of formulae : 190 ( 33 unt; 30 def)
% Number of atoms : 632 ( 77 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 713 ( 271 ~; 302 |; 86 &)
% ( 34 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 47 ( 45 usr; 31 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 104 ( 102 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A] :
( ( l1_orders_2(A)
& v2_lattice3(A)
& v25_waybel_0(A)
& v24_waybel_0(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ! [B] :
( ( l1_orders_2(B)
& v2_lattice3(B)
& v25_waybel_0(B)
& v24_waybel_0(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B) )
=> ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B))
=> k14_yellow_6(A,k3_waybel28(A)) = k14_yellow_6(B,k3_waybel28(B)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A] :
( ( l1_orders_2(A)
& v2_lattice3(A)
& v25_waybel_0(A)
& v24_waybel_0(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ! [B] :
( ( l1_orders_2(B)
& v2_lattice3(B)
& v25_waybel_0(B)
& v24_waybel_0(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B) )
=> ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B))
=> k14_yellow_6(A,k3_waybel28(A)) = k14_yellow_6(B,k3_waybel28(B)) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f15,axiom,
! [A] :
( l1_orders_2(A)
=> ( v2_lattice3(A)
=> ~ v3_struct_0(A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [A,B] :
( A = B
<=> ( r1_tarski(B,A)
& r1_tarski(A,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [A] :
( ( l1_struct_0(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m4_yellow_6(B,A)
=> ! [C] :
( ( l1_pre_topc(C)
& v1_pre_topc(C) )
=> ( C = k14_yellow_6(A,B)
<=> ( u1_pre_topc(C) = a_2_1_yellow_6(A,B)
& u1_struct_0(C) = u1_struct_0(A) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [A,B] :
( ( m4_yellow_6(B,A)
& l1_struct_0(A)
& ~ v3_struct_0(A) )
=> ( l1_pre_topc(k14_yellow_6(A,B))
& v1_pre_topc(k14_yellow_6(A,B)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [A] :
( ( l1_orders_2(A)
& ~ v3_struct_0(A) )
=> m4_yellow_6(k3_waybel28(A),A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
! [A] :
( l1_orders_2(A)
=> l1_struct_0(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,axiom,
! [A] :
( l1_orders_2(A)
=> m2_relset_1(u1_orders_2(A),u1_struct_0(A),u1_struct_0(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f68,axiom,
! [A,B] :
( m1_relset_1(B,A,A)
=> ! [C,D] :
( g1_orders_2(A,B) = g1_orders_2(C,D)
=> ( B = D
& A = C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f70,axiom,
! [A] :
( ( l1_orders_2(A)
& v2_lattice3(A)
& v25_waybel_0(A)
& v24_waybel_0(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ! [B] :
( ( l1_orders_2(B)
& v2_lattice3(B)
& v25_waybel_0(B)
& v24_waybel_0(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B) )
=> ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B))
=> r1_tarski(u1_pre_topc(k14_yellow_6(A,k3_waybel28(A))),u1_pre_topc(k14_yellow_6(B,k3_waybel28(B)))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f93,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
<=> m1_relset_1(C,A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f104,plain,
? [A] :
( ? [B] :
( k14_yellow_6(A,k3_waybel28(A)) != k14_yellow_6(B,k3_waybel28(B))
& g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(B),u1_orders_2(B))
& l1_orders_2(B)
& v2_lattice3(B)
& v25_waybel_0(B)
& v24_waybel_0(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B) )
& l1_orders_2(A)
& v2_lattice3(A)
& v25_waybel_0(A)
& v24_waybel_0(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f105,plain,
( k14_yellow_6(sK0_skl,k3_waybel28(sK0_skl)) != k14_yellow_6(sK1_skl,k3_waybel28(sK1_skl))
& g1_orders_2(u1_struct_0(sK0_skl),u1_orders_2(sK0_skl)) = g1_orders_2(u1_struct_0(sK1_skl),u1_orders_2(sK1_skl))
& l1_orders_2(sK1_skl)
& v2_lattice3(sK1_skl)
& v25_waybel_0(sK1_skl)
& v24_waybel_0(sK1_skl)
& v4_orders_2(sK1_skl)
& v3_orders_2(sK1_skl)
& v2_orders_2(sK1_skl)
& l1_orders_2(sK0_skl)
& v2_lattice3(sK0_skl)
& v25_waybel_0(sK0_skl)
& v24_waybel_0(sK0_skl)
& v4_orders_2(sK0_skl)
& v3_orders_2(sK0_skl)
& v2_orders_2(sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl)],[f104]) ).
fof(f106,plain,
v2_orders_2(sK0_skl),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f107,plain,
v3_orders_2(sK0_skl),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f108,plain,
v4_orders_2(sK0_skl),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f109,plain,
v24_waybel_0(sK0_skl),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f110,plain,
v25_waybel_0(sK0_skl),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f111,plain,
v2_lattice3(sK0_skl),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f112,plain,
l1_orders_2(sK0_skl),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f113,plain,
v2_orders_2(sK1_skl),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f114,plain,
v3_orders_2(sK1_skl),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f115,plain,
v4_orders_2(sK1_skl),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f116,plain,
v24_waybel_0(sK1_skl),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f117,plain,
v25_waybel_0(sK1_skl),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f118,plain,
v2_lattice3(sK1_skl),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f119,plain,
l1_orders_2(sK1_skl),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f120,plain,
g1_orders_2(u1_struct_0(sK0_skl),u1_orders_2(sK0_skl)) = g1_orders_2(u1_struct_0(sK1_skl),u1_orders_2(sK1_skl)),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f121,plain,
k14_yellow_6(sK0_skl,k3_waybel28(sK0_skl)) != k14_yellow_6(sK1_skl,k3_waybel28(sK1_skl)),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f155,plain,
! [A] :
( ~ v3_struct_0(A)
| ~ v2_lattice3(A)
| ~ l1_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f156,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f155]) ).
fof(f180,plain,
! [A,B] :
( ( ~ r1_tarski(B,A)
| ~ r1_tarski(A,B)
| A = B )
& ( ( r1_tarski(B,A)
& r1_tarski(A,B) )
| A != B ) ),
inference(NNF_transformation,[status(thm)],[f23]) ).
fof(f181,plain,
( ! [A,B] :
( ~ r1_tarski(B,A)
| ~ r1_tarski(A,B)
| A = B )
& ! [A,B] :
( ( r1_tarski(B,A)
& r1_tarski(A,B) )
| A != B ) ),
inference(miniscoping,[status(thm)],[f180]) ).
fof(f184,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f181]) ).
fof(f185,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( C = k14_yellow_6(A,B)
<=> ( u1_pre_topc(C) = a_2_1_yellow_6(A,B)
& u1_struct_0(C) = u1_struct_0(A) ) )
| ~ l1_pre_topc(C)
| ~ v1_pre_topc(C) )
| ~ m4_yellow_6(B,A) )
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f186,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( u1_pre_topc(C) != a_2_1_yellow_6(A,B)
| u1_struct_0(C) != u1_struct_0(A)
| C = k14_yellow_6(A,B) )
& ( ( u1_pre_topc(C) = a_2_1_yellow_6(A,B)
& u1_struct_0(C) = u1_struct_0(A) )
| C != k14_yellow_6(A,B) ) )
| ~ l1_pre_topc(C)
| ~ v1_pre_topc(C) )
| ~ m4_yellow_6(B,A) )
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(NNF_transformation,[status(thm)],[f185]) ).
fof(f187,plain,
! [X0,X1,X2] :
( u1_struct_0(X2) = u1_struct_0(X0)
| X2 != k14_yellow_6(X0,X1)
| ~ l1_pre_topc(X2)
| ~ v1_pre_topc(X2)
| ~ m4_yellow_6(X1,X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f188,plain,
! [X0,X1,X2] :
( u1_pre_topc(X2) = a_2_1_yellow_6(X0,X1)
| X2 != k14_yellow_6(X0,X1)
| ~ l1_pre_topc(X2)
| ~ v1_pre_topc(X2)
| ~ m4_yellow_6(X1,X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f189,plain,
! [X0,X1,X2] :
( u1_pre_topc(X2) != a_2_1_yellow_6(X0,X1)
| u1_struct_0(X2) != u1_struct_0(X0)
| X2 = k14_yellow_6(X0,X1)
| ~ l1_pre_topc(X2)
| ~ v1_pre_topc(X2)
| ~ m4_yellow_6(X1,X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f197,plain,
! [A,B] :
( ( l1_pre_topc(k14_yellow_6(A,B))
& v1_pre_topc(k14_yellow_6(A,B)) )
| ~ m4_yellow_6(B,A)
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f198,plain,
! [X0,X1] :
( v1_pre_topc(k14_yellow_6(X0,X1))
| ~ m4_yellow_6(X1,X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f199,plain,
! [X0,X1] :
( l1_pre_topc(k14_yellow_6(X0,X1))
| ~ m4_yellow_6(X1,X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f200,plain,
! [A] :
( m4_yellow_6(k3_waybel28(A),A)
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f34]) ).
fof(f201,plain,
! [X0] :
( m4_yellow_6(k3_waybel28(X0),X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f202,plain,
! [A] :
( l1_struct_0(A)
| ~ l1_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f36]) ).
fof(f203,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f210,plain,
! [A] :
( m2_relset_1(u1_orders_2(A),u1_struct_0(A),u1_struct_0(A))
| ~ l1_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f44]) ).
fof(f211,plain,
! [X0] :
( m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f210]) ).
fof(f274,plain,
! [A,B] :
( ! [C,D] :
( ( B = D
& A = C )
| g1_orders_2(A,B) != g1_orders_2(C,D) )
| ~ m1_relset_1(B,A,A) ),
inference(pre_NNF_transformation,[status(thm)],[f68]) ).
fof(f275,plain,
! [X0,X1,X2,X3] :
( X1 = X2
| g1_orders_2(X1,X0) != g1_orders_2(X2,X3)
| ~ m1_relset_1(X0,X1,X1) ),
inference(cnf_transformation,[status(thm)],[f274]) ).
fof(f280,plain,
! [A] :
( ! [B] :
( r1_tarski(u1_pre_topc(k14_yellow_6(A,k3_waybel28(A))),u1_pre_topc(k14_yellow_6(B,k3_waybel28(B))))
| g1_orders_2(u1_struct_0(A),u1_orders_2(A)) != g1_orders_2(u1_struct_0(B),u1_orders_2(B))
| ~ l1_orders_2(B)
| ~ v2_lattice3(B)
| ~ v25_waybel_0(B)
| ~ v24_waybel_0(B)
| ~ v4_orders_2(B)
| ~ v3_orders_2(B)
| ~ v2_orders_2(B) )
| ~ l1_orders_2(A)
| ~ v2_lattice3(A)
| ~ v25_waybel_0(A)
| ~ v24_waybel_0(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f70]) ).
fof(f281,plain,
! [X0,X1] :
( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v25_waybel_0(X1)
| ~ v24_waybel_0(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v25_waybel_0(X0)
| ~ v24_waybel_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f280]) ).
fof(f386,plain,
! [A,B,C] :
( ( ~ m1_relset_1(C,A,B)
| m2_relset_1(C,A,B) )
& ( m1_relset_1(C,A,B)
| ~ m2_relset_1(C,A,B) ) ),
inference(NNF_transformation,[status(thm)],[f93]) ).
fof(f387,plain,
( ! [A,B,C] :
( ~ m1_relset_1(C,A,B)
| m2_relset_1(C,A,B) )
& ! [A,B,C] :
( m1_relset_1(C,A,B)
| ~ m2_relset_1(C,A,B) ) ),
inference(miniscoping,[status(thm)],[f386]) ).
fof(f388,plain,
! [X0,X1,X2] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f387]) ).
fof(f421,plain,
! [X0,X1] :
( u1_struct_0(k14_yellow_6(X0,X1)) = u1_struct_0(X0)
| ~ l1_pre_topc(k14_yellow_6(X0,X1))
| ~ v1_pre_topc(k14_yellow_6(X0,X1))
| ~ m4_yellow_6(X1,X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f187]) ).
fof(f422,plain,
! [X0,X1] :
( u1_pre_topc(k14_yellow_6(X0,X1)) = a_2_1_yellow_6(X0,X1)
| ~ l1_pre_topc(k14_yellow_6(X0,X1))
| ~ v1_pre_topc(k14_yellow_6(X0,X1))
| ~ m4_yellow_6(X1,X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f188]) ).
fof(f432,definition,
( sQ0_spl
<=> l1_orders_2(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f434,plain,
( sQ0_spl
| ~ l1_orders_2(sK1_skl) ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f444,definition,
( sQ3_spl
<=> l1_orders_2(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f446,plain,
( sQ3_spl
| ~ l1_orders_2(sK0_skl) ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f454,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f446,f112]) ).
fof(f455,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f454]) ).
fof(f485,plain,
! [X0,X1] :
( g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) != g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v25_waybel_0(X0)
| ~ v24_waybel_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v25_waybel_0(X1)
| ~ v24_waybel_0(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))))
| u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))) ),
inference(resolution,[status(thm)],[f184,f281]) ).
fof(f487,plain,
! [X0,X1] :
( g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) != g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v25_waybel_0(X0)
| ~ v24_waybel_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v25_waybel_0(X1)
| ~ v24_waybel_0(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[f485,f281]) ).
fof(f506,plain,
( ~ l1_orders_2(sK1_skl)
| ~ v2_lattice3(sK1_skl)
| ~ v25_waybel_0(sK1_skl)
| ~ v24_waybel_0(sK1_skl)
| ~ v4_orders_2(sK1_skl)
| ~ v3_orders_2(sK1_skl)
| ~ v2_orders_2(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| ~ v2_lattice3(sK0_skl)
| ~ v25_waybel_0(sK0_skl)
| ~ v24_waybel_0(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v3_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl)
| u1_pre_topc(k14_yellow_6(sK1_skl,k3_waybel28(sK1_skl))) = u1_pre_topc(k14_yellow_6(sK0_skl,k3_waybel28(sK0_skl))) ),
inference(resolution,[status(thm)],[f487,f120]) ).
fof(f513,definition,
( sQ6_spl
<=> u1_pre_topc(k14_yellow_6(sK1_skl,k3_waybel28(sK1_skl))) = u1_pre_topc(k14_yellow_6(sK0_skl,k3_waybel28(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f514,plain,
( ~ sQ6_spl
| u1_pre_topc(k14_yellow_6(sK1_skl,k3_waybel28(sK1_skl))) = u1_pre_topc(k14_yellow_6(sK0_skl,k3_waybel28(sK0_skl))) ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f516,definition,
( sQ7_spl
<=> v2_orders_2(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f518,plain,
( sQ7_spl
| ~ v2_orders_2(sK0_skl) ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f519,definition,
( sQ8_spl
<=> v3_orders_2(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f521,plain,
( sQ8_spl
| ~ v3_orders_2(sK0_skl) ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,definition,
( sQ9_spl
<=> v4_orders_2(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f524,plain,
( sQ9_spl
| ~ v4_orders_2(sK0_skl) ),
inference(component_clause,[status(thm)],[f522]) ).
fof(f525,definition,
( sQ10_spl
<=> v24_waybel_0(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f527,plain,
( sQ10_spl
| ~ v24_waybel_0(sK0_skl) ),
inference(component_clause,[status(thm)],[f525]) ).
fof(f528,definition,
( sQ11_spl
<=> v25_waybel_0(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f530,plain,
( sQ11_spl
| ~ v25_waybel_0(sK0_skl) ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f531,definition,
( sQ12_spl
<=> v2_lattice3(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f533,plain,
( sQ12_spl
| ~ v2_lattice3(sK0_skl) ),
inference(component_clause,[status(thm)],[f531]) ).
fof(f534,definition,
( sQ13_spl
<=> v2_orders_2(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f536,plain,
( sQ13_spl
| ~ v2_orders_2(sK1_skl) ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f537,definition,
( sQ14_spl
<=> v3_orders_2(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f539,plain,
( sQ14_spl
| ~ v3_orders_2(sK1_skl) ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f540,definition,
( sQ15_spl
<=> v4_orders_2(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f542,plain,
( sQ15_spl
| ~ v4_orders_2(sK1_skl) ),
inference(component_clause,[status(thm)],[f540]) ).
fof(f543,definition,
( sQ16_spl
<=> v24_waybel_0(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f545,plain,
( sQ16_spl
| ~ v24_waybel_0(sK1_skl) ),
inference(component_clause,[status(thm)],[f543]) ).
fof(f546,definition,
( sQ17_spl
<=> v25_waybel_0(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f548,plain,
( sQ17_spl
| ~ v25_waybel_0(sK1_skl) ),
inference(component_clause,[status(thm)],[f546]) ).
fof(f549,definition,
( sQ18_spl
<=> v2_lattice3(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f551,plain,
( sQ18_spl
| ~ v2_lattice3(sK1_skl) ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f552,plain,
( ~ sQ0_spl
| ~ sQ18_spl
| ~ sQ17_spl
| ~ sQ16_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f506,f513,f516,f519,f522,f525,f528,f531,f444,f534,f537,f540,f543,f546,f549,f432]) ).
fof(f561,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f434,f119]) ).
fof(f562,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f561]) ).
fof(f563,plain,
( sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f551,f118]) ).
fof(f564,plain,
sQ18_spl,
inference(contradiction_clause,[status(thm)],[f563]) ).
fof(f565,plain,
( sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f548,f117]) ).
fof(f566,plain,
sQ17_spl,
inference(contradiction_clause,[status(thm)],[f565]) ).
fof(f567,plain,
( sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f545,f116]) ).
fof(f568,plain,
sQ16_spl,
inference(contradiction_clause,[status(thm)],[f567]) ).
fof(f569,plain,
( sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f542,f115]) ).
fof(f570,plain,
sQ15_spl,
inference(contradiction_clause,[status(thm)],[f569]) ).
fof(f571,plain,
( sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f539,f114]) ).
fof(f572,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f571]) ).
fof(f573,plain,
( sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f536,f113]) ).
fof(f574,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f573]) ).
fof(f575,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f533,f111]) ).
fof(f576,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f575]) ).
fof(f577,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f530,f110]) ).
fof(f578,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f577]) ).
fof(f579,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f527,f109]) ).
fof(f580,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f579]) ).
fof(f581,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f524,f108]) ).
fof(f582,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f581]) ).
fof(f583,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f521,f107]) ).
fof(f584,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f583]) ).
fof(f642,definition,
( sQ34_spl
<=> g1_orders_2(u1_struct_0(sK0_skl),u1_orders_2(sK0_skl)) = g1_orders_2(u1_struct_0(sK0_skl),u1_orders_2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f644,plain,
( sQ34_spl
| g1_orders_2(u1_struct_0(sK0_skl),u1_orders_2(sK0_skl)) != g1_orders_2(u1_struct_0(sK0_skl),u1_orders_2(sK0_skl)) ),
inference(component_clause,[status(thm)],[f642]) ).
fof(f650,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f518,f106]) ).
fof(f651,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f650]) ).
fof(f962,definition,
( sQ77_spl
<=> v3_struct_0(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f963,plain,
( ~ sQ77_spl
| v3_struct_0(sK1_skl) ),
inference(component_clause,[status(thm)],[f962]) ).
fof(f965,definition,
( sQ78_spl
<=> l1_struct_0(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f967,plain,
( sQ78_spl
| ~ l1_struct_0(sK1_skl) ),
inference(component_clause,[status(thm)],[f965]) ).
fof(f968,definition,
( sQ79_spl
<=> m4_yellow_6(k3_waybel28(sK1_skl),sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f970,plain,
( sQ79_spl
| ~ m4_yellow_6(k3_waybel28(sK1_skl),sK1_skl) ),
inference(component_clause,[status(thm)],[f968]) ).
fof(f972,plain,
( ~ sQ77_spl
| ~ v2_lattice3(sK1_skl)
| ~ l1_orders_2(sK1_skl) ),
inference(resolution,[status(thm)],[f963,f156]) ).
fof(f973,plain,
( ~ sQ77_spl
| ~ sQ18_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f972,f432,f549,f962]) ).
fof(f974,plain,
( sQ79_spl
| ~ l1_orders_2(sK1_skl)
| v3_struct_0(sK1_skl) ),
inference(resolution,[status(thm)],[f970,f201]) ).
fof(f975,plain,
( sQ79_spl
| ~ sQ0_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f974,f962,f432,f968]) ).
fof(f979,plain,
( sQ78_spl
| ~ l1_orders_2(sK1_skl) ),
inference(resolution,[status(thm)],[f967,f203]) ).
fof(f980,plain,
( sQ78_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f979,f432,f965]) ).
fof(f1603,plain,
! [X0,X1] :
( u1_struct_0(k14_yellow_6(X0,X1)) = u1_struct_0(X0)
| ~ v1_pre_topc(k14_yellow_6(X0,X1))
| ~ m4_yellow_6(X1,X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f421,f199]) ).
fof(f1757,plain,
! [X0,X1] :
( u1_pre_topc(k14_yellow_6(X0,X1)) = a_2_1_yellow_6(X0,X1)
| ~ v1_pre_topc(k14_yellow_6(X0,X1))
| ~ m4_yellow_6(X1,X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f422,f199]) ).
fof(f1764,definition,
( sQ148_spl
<=> u1_pre_topc(k14_yellow_6(sK0_skl,k3_waybel28(sK0_skl))) = a_2_1_yellow_6(sK1_skl,k3_waybel28(sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1765,plain,
( ~ sQ148_spl
| u1_pre_topc(k14_yellow_6(sK0_skl,k3_waybel28(sK0_skl))) = a_2_1_yellow_6(sK1_skl,k3_waybel28(sK1_skl)) ),
inference(component_clause,[status(thm)],[f1764]) ).
fof(f1789,plain,
( ~ sQ148_spl
| u1_struct_0(k14_yellow_6(sK0_skl,k3_waybel28(sK0_skl))) != u1_struct_0(sK1_skl)
| k14_yellow_6(sK0_skl,k3_waybel28(sK0_skl)) = k14_yellow_6(sK1_skl,k3_waybel28(sK1_skl))
| ~ l1_pre_topc(k14_yellow_6(sK0_skl,k3_waybel28(sK0_skl)))
| ~ v1_pre_topc(k14_yellow_6(sK0_skl,k3_waybel28(sK0_skl)))
| ~ m4_yellow_6(k3_waybel28(sK1_skl),sK1_skl)
| ~ l1_struct_0(sK1_skl)
| v3_struct_0(sK1_skl) ),
inference(resolution,[status(thm)],[f1765,f189]) ).
fof(f1796,definition,
( sQ150_spl
<=> v1_pre_topc(k14_yellow_6(sK0_skl,k3_waybel28(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1798,plain,
( sQ150_spl
| ~ v1_pre_topc(k14_yellow_6(sK0_skl,k3_waybel28(sK0_skl))) ),
inference(component_clause,[status(thm)],[f1796]) ).
fof(f1799,definition,
( sQ151_spl
<=> l1_pre_topc(k14_yellow_6(sK0_skl,k3_waybel28(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1801,plain,
( sQ151_spl
| ~ l1_pre_topc(k14_yellow_6(sK0_skl,k3_waybel28(sK0_skl))) ),
inference(component_clause,[status(thm)],[f1799]) ).
fof(f1802,definition,
( sQ152_spl
<=> k14_yellow_6(sK0_skl,k3_waybel28(sK0_skl)) = k14_yellow_6(sK1_skl,k3_waybel28(sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1803,plain,
( ~ sQ152_spl
| k14_yellow_6(sK0_skl,k3_waybel28(sK0_skl)) = k14_yellow_6(sK1_skl,k3_waybel28(sK1_skl)) ),
inference(component_clause,[status(thm)],[f1802]) ).
fof(f1805,definition,
( sQ153_spl
<=> u1_struct_0(k14_yellow_6(sK0_skl,k3_waybel28(sK0_skl))) = u1_struct_0(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1807,plain,
( sQ153_spl
| u1_struct_0(k14_yellow_6(sK0_skl,k3_waybel28(sK0_skl))) != u1_struct_0(sK1_skl) ),
inference(component_clause,[status(thm)],[f1805]) ).
fof(f1808,plain,
( ~ sQ148_spl
| ~ sQ153_spl
| sQ152_spl
| ~ sQ151_spl
| ~ sQ150_spl
| ~ sQ79_spl
| ~ sQ78_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f1789,f962,f965,f968,f1796,f1799,f1802,f1805,f1764]) ).
fof(f1817,definition,
( sQ156_spl
<=> v3_struct_0(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1818,plain,
( ~ sQ156_spl
| v3_struct_0(sK0_skl) ),
inference(component_clause,[status(thm)],[f1817]) ).
fof(f1820,definition,
( sQ157_spl
<=> l1_struct_0(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f1822,plain,
( sQ157_spl
| ~ l1_struct_0(sK0_skl) ),
inference(component_clause,[status(thm)],[f1820]) ).
fof(f1823,definition,
( sQ158_spl
<=> m4_yellow_6(k3_waybel28(sK0_skl),sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f1825,plain,
( sQ158_spl
| ~ m4_yellow_6(k3_waybel28(sK0_skl),sK0_skl) ),
inference(component_clause,[status(thm)],[f1823]) ).
fof(f1842,plain,
( ~ sQ152_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1803,f121]) ).
fof(f1843,plain,
~ sQ152_spl,
inference(contradiction_clause,[status(thm)],[f1842]) ).
fof(f1844,plain,
( ~ sQ156_spl
| ~ v2_lattice3(sK0_skl)
| ~ l1_orders_2(sK0_skl) ),
inference(resolution,[status(thm)],[f1818,f156]) ).
fof(f1845,plain,
( ~ sQ156_spl
| ~ sQ12_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1844,f444,f531,f1817]) ).
fof(f1846,plain,
( sQ158_spl
| ~ l1_orders_2(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f1825,f201]) ).
fof(f1847,plain,
( sQ158_spl
| ~ sQ3_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f1846,f1817,f444,f1823]) ).
fof(f1854,plain,
( sQ157_spl
| ~ l1_orders_2(sK0_skl) ),
inference(resolution,[status(thm)],[f1822,f203]) ).
fof(f1855,plain,
( sQ157_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1854,f444,f1820]) ).
fof(f1871,plain,
( sQ151_spl
| ~ m4_yellow_6(k3_waybel28(sK0_skl),sK0_skl)
| ~ l1_struct_0(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f1801,f199]) ).
fof(f1872,plain,
( sQ151_spl
| ~ sQ158_spl
| ~ sQ157_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f1871,f1817,f1820,f1823,f1799]) ).
fof(f1991,plain,
! [X0,X1] :
( u1_pre_topc(k14_yellow_6(X0,X1)) = a_2_1_yellow_6(X0,X1)
| ~ m4_yellow_6(X1,X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1757,f198]) ).
fof(f1992,plain,
! [X0,X1] :
( u1_struct_0(k14_yellow_6(X0,X1)) = u1_struct_0(X0)
| ~ m4_yellow_6(X1,X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1603,f198]) ).
fof(f1993,plain,
( sQ150_spl
| ~ m4_yellow_6(k3_waybel28(sK0_skl),sK0_skl)
| ~ l1_struct_0(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f198,f1798]) ).
fof(f1997,plain,
( sQ150_spl
| ~ sQ158_spl
| ~ sQ157_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f1993,f1817,f1820,f1823,f1796]) ).
fof(f2052,definition,
( sQ177_spl
<=> u1_struct_0(k14_yellow_6(sK0_skl,k3_waybel28(sK0_skl))) = u1_struct_0(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f2053,plain,
( ~ sQ177_spl
| u1_struct_0(k14_yellow_6(sK0_skl,k3_waybel28(sK0_skl))) = u1_struct_0(sK0_skl) ),
inference(component_clause,[status(thm)],[f2052]) ).
fof(f2054,plain,
( sQ177_spl
| u1_struct_0(k14_yellow_6(sK0_skl,k3_waybel28(sK0_skl))) != u1_struct_0(sK0_skl) ),
inference(component_clause,[status(thm)],[f2052]) ).
fof(f2107,plain,
( sQ177_spl
| ~ m4_yellow_6(k3_waybel28(sK0_skl),sK0_skl)
| ~ l1_struct_0(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f1992,f2054]) ).
fof(f2109,plain,
( sQ177_spl
| ~ sQ158_spl
| ~ sQ157_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f2107,f1817,f1820,f1823,f2052]) ).
fof(f2137,plain,
! [X0] :
( ~ l1_orders_2(X0)
| m1_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
inference(resolution,[status(thm)],[f388,f211]) ).
fof(f2185,plain,
( sQ153_spl
| ~ sQ177_spl
| u1_struct_0(sK0_skl) != u1_struct_0(sK1_skl) ),
inference(backward_demodulation,[status(thm)],[f2053,f1807]) ).
fof(f2394,plain,
( sQ34_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f644]) ).
fof(f2395,plain,
sQ34_spl,
inference(contradiction_clause,[status(thm)],[f2394]) ).
fof(f2869,plain,
( ~ sQ6_spl
| u1_pre_topc(k14_yellow_6(sK0_skl,k3_waybel28(sK0_skl))) = a_2_1_yellow_6(sK1_skl,k3_waybel28(sK1_skl))
| ~ m4_yellow_6(k3_waybel28(sK1_skl),sK1_skl)
| ~ l1_struct_0(sK1_skl)
| v3_struct_0(sK1_skl) ),
inference(paramodulation,[status(thm)],[f514,f1991]) ).
fof(f2875,plain,
( ~ sQ6_spl
| sQ148_spl
| ~ sQ79_spl
| ~ sQ78_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f2869,f962,f965,f968,f1764,f513]) ).
fof(f3296,plain,
( u1_struct_0(sK1_skl) = u1_struct_0(sK0_skl)
| ~ m1_relset_1(u1_orders_2(sK1_skl),u1_struct_0(sK1_skl),u1_struct_0(sK1_skl)) ),
inference(resolution,[status(thm)],[f275,f120]) ).
fof(f3304,definition,
( sQ364_spl
<=> u1_struct_0(sK0_skl) = u1_struct_0(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ364_spl])],[split_symbol_definition]) ).
fof(f3305,plain,
( ~ sQ364_spl
| u1_struct_0(sK0_skl) = u1_struct_0(sK1_skl) ),
inference(component_clause,[status(thm)],[f3304]) ).
fof(f3309,definition,
( sQ365_spl
<=> m1_relset_1(u1_orders_2(sK1_skl),u1_struct_0(sK1_skl),u1_struct_0(sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ365_spl])],[split_symbol_definition]) ).
fof(f3311,plain,
( sQ365_spl
| ~ m1_relset_1(u1_orders_2(sK1_skl),u1_struct_0(sK1_skl),u1_struct_0(sK1_skl)) ),
inference(component_clause,[status(thm)],[f3309]) ).
fof(f3312,plain,
( sQ364_spl
| ~ sQ365_spl ),
inference(split_clause,[status(thm)],[f3296,f3309,f3304]) ).
fof(f3318,plain,
( ~ sQ364_spl
| sQ153_spl
| ~ sQ177_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3305,f2185]) ).
fof(f3319,plain,
( ~ sQ364_spl
| sQ153_spl
| ~ sQ177_spl ),
inference(contradiction_clause,[status(thm)],[f3318]) ).
fof(f3338,plain,
( sQ365_spl
| ~ l1_orders_2(sK1_skl) ),
inference(resolution,[status(thm)],[f3311,f2137]) ).
fof(f3339,plain,
( sQ365_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f3338,f432,f3309]) ).
fof(f3340,plain,
$false,
inference(sat_refutation,[status(thm)],[f455,f552,f562,f564,f566,f568,f570,f572,f574,f576,f578,f580,f582,f584,f651,f973,f975,f980,f1808,f1843,f1845,f1847,f1855,f1872,f1997,f2109,f2395,f2875,f3312,f3319,f3339]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : TOP047+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.44 % Computer : n013.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Mon Sep 21 12:46:05 UTC 2026
% 0.16/0.45 % CPUTime :
% 0.16/0.48 % Drodi V4.1.1
% 0.28/0.94 % Refutation found
% 0.28/0.94 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.28/0.94 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.28/0.98 % Elapsed time: 0.528970 seconds
% 0.28/0.98 % CPU time: 3.501711 seconds
% 0.28/0.98 % Total memory used: 160.384 MB
% 0.28/0.98 % Net memory used: 159.240 MB
%------------------------------------------------------------------------------