TSTP Solution File: SYN762-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN762-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 : Tue Apr 30 20:53:09 EDT 2024
% Result : Unsatisfiable 110.01s 14.14s
% Output : CNFRefutation 110.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 92
% Number of leaves : 35
% Syntax : Number of formulae : 603 ( 7 unt; 0 def)
% Number of atoms : 3102 ( 0 equ)
% Maximal formula atoms : 9 ( 5 avg)
% Number of connectives : 4191 (1692 ~;2499 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 1072 (1072 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [U] : ssRr(U,skf1(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(W,U)
| ssPv2(W)
| ssPv3(W)
| ssPv4(W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv1(V)
| ~ ssRr(W,U)
| ssPv1(W)
| ssPv2(W)
| ssPv3(W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(W,U)
| ~ ssPv3(W)
| ssPv2(W)
| ssPv4(W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(W,U)
| ~ ssPv3(W)
| ssPv1(W)
| ssPv2(W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(W,U)
| ~ ssPv3(W)
| ssPv1(W)
| ssPv2(W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ~ ssRr(W,U)
| ~ ssPv2(W)
| ~ ssPv4(W)
| ssPv1(W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssRr(W,U)
| ~ ssRr(W,X)
| ssPv1(V)
| ssPv2(X)
| ssPv3(W)
| ssPv4(W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssRr(W,U)
| ~ ssRr(W,X)
| ~ ssPv3(W)
| ssPv2(V)
| ssPv1(X)
| ssPv4(W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssRr(W,U)
| ~ ssRr(W,X)
| ~ ssPv3(X)
| ssPv1(V)
| ssPv1(W)
| ssPv2(W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ~ ssRr(W,U)
| ~ ssRr(W,X)
| ~ ssPv1(W)
| ssPv1(X)
| ssPv4(W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(W,U)
| ~ ssRr(W,X)
| ~ ssPv3(W)
| ssPv4(X)
| ssPv1(W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssRr(W,U)
| ~ ssRr(W,X)
| ~ ssPv3(X)
| ~ ssPv2(W)
| ssPv3(V)
| ssPv1(W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssPv1(V)
| ~ ssRr(W,U)
| ~ ssRr(W,X)
| ~ ssPv1(X)
| ssPv1(W)
| ssPv4(W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssRr(W,U)
| ~ ssRr(W,X)
| ~ ssPv1(X)
| ~ ssPv1(W)
| ssPv3(V)
| ssPv4(W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssRr(W,U)
| ~ ssRr(W,X)
| ~ ssPv4(X)
| ~ ssPv3(W)
| ~ ssPv4(W)
| ssPv4(V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssPv1(V)
| ~ ssRr(W,U)
| ~ ssRr(W,X)
| ~ ssPv1(X)
| ~ ssPv3(W)
| ssPv1(W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssRr(W,U)
| ~ ssRr(W,X)
| ~ ssPv2(X)
| ~ ssPv2(W)
| ~ ssPv4(W)
| ssPv3(V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssRr(W,U)
| ~ ssRr(W,X)
| ~ ssPv3(X)
| ~ ssPv1(W)
| ~ ssPv3(W)
| ssPv4(V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssPv1(V)
| ~ ssRr(W,U)
| ~ ssRr(W,X)
| ~ ssPv1(W)
| ~ ssPv2(W)
| ssPv3(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssPv1(V)
| ~ ssRr(W,U)
| ~ ssRr(W,X)
| ~ ssPv1(X)
| ~ ssPv3(W)
| ssPv2(W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssPv1(V)
| ~ ssRr(W,U)
| ~ ssRr(W,X)
| ~ ssPv4(X)
| ~ ssPv1(W)
| ~ ssPv2(W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
! [U,V,W,X,Y] :
( ~ ssRr(U,V)
| ~ ssRr(W,U)
| ~ ssRr(X,Y)
| ~ ssRr(W,X)
| ssPv4(V)
| ssPv3(Y)
| ssPv1(W)
| ssPv3(W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
! [U,V,W,X,Y] :
( ~ ssRr(U,V)
| ~ ssRr(W,U)
| ~ ssRr(X,Y)
| ~ ssRr(W,X)
| ssPv4(V)
| ssPv2(Y)
| ssPv3(W)
| ssPv4(W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
! [U,V,W,X,Y] :
( ~ ssRr(U,V)
| ~ ssRr(W,U)
| ~ ssRr(X,Y)
| ~ ssRr(W,X)
| ~ ssPv1(W)
| ssPv2(V)
| ssPv1(Y)
| ssPv3(W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
! [U,V,W,X,Y] :
( ~ ssRr(U,V)
| ~ ssRr(W,U)
| ~ ssRr(X,Y)
| ~ ssRr(W,X)
| ~ ssPv3(W)
| ssPv4(V)
| ssPv1(Y)
| ssPv4(W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
! [U,V,W,X,Y] :
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(W,U)
| ~ ssRr(X,Y)
| ~ ssRr(W,X)
| ssPv1(Y)
| ssPv3(W)
| ssPv4(W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
! [U,V,W,X,Y] :
( ~ ssRr(U,V)
| ~ ssRr(W,U)
| ~ ssRr(W,X)
| ~ ssPv4(X)
| ~ ssRr(W,Y)
| ~ ssPv3(W)
| ssPv3(V)
| ssPv3(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
! [U,V,W,X,Y] :
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(W,U)
| ~ ssRr(X,Y)
| ~ ssRr(W,X)
| ~ ssPv4(W)
| ssPv3(Y)
| ssPv3(W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
! [U,V,W,X,Y] :
( ~ ssRr(U,V)
| ~ ssRr(W,U)
| ~ ssRr(X,Y)
| ~ ssRr(W,X)
| ~ ssPv2(W)
| ~ ssPv3(W)
| ssPv4(V)
| ssPv1(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
! [U,V,W,X,Y] :
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(W,U)
| ~ ssRr(X,Y)
| ~ ssRr(W,X)
| ~ ssPv1(W)
| ssPv4(Y)
| ssPv2(W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
! [U,V,W,X,Y] :
( ~ ssRr(U,V)
| ~ ssRr(W,U)
| ~ ssRr(W,X)
| ~ ssPv1(X)
| ~ ssRr(W,Y)
| ~ ssPv4(W)
| ssPv1(V)
| ssPv4(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
! [U,V,W,X,Y] :
( ~ ssRr(U,V)
| ~ ssPv1(V)
| ~ ssRr(W,U)
| ~ ssRr(W,X)
| ~ ssPv1(X)
| ~ ssRr(W,Y)
| ssPv1(Y)
| ssPv1(W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
! [U,V,W,X,Y] :
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(W,U)
| ~ ssRr(X,Y)
| ~ ssPv3(Y)
| ~ ssRr(W,X)
| ~ ssPv4(W)
| ssPv1(W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
! [U,V,W,X,Y,Z] :
( ~ ssRr(U,V)
| ~ ssRr(W,U)
| ~ ssRr(X,Y)
| ~ ssRr(W,X)
| ~ ssRr(W,Z)
| ~ ssPv4(W)
| ssPv4(V)
| ssPv3(Y)
| ssPv1(Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,plain,
! [X0] : ssRr(X0,skf1(X0)),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f53,plain,
! [W] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv4(V) )
| ~ ssRr(W,U) )
| ssPv2(W)
| ssPv3(W)
| ssPv4(W) ),
inference(miniscoping,[status(esa)],[f2]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ssPv2(X2)
| ssPv3(X2)
| ssPv4(X2) ),
inference(cnf_transformation,[status(esa)],[f53]) ).
fof(f55,plain,
! [W] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv1(V) )
| ~ ssRr(W,U) )
| ssPv1(W)
| ssPv2(W)
| ssPv3(W) ),
inference(miniscoping,[status(esa)],[f3]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X2,X0)
| ssPv1(X2)
| ssPv2(X2)
| ssPv3(X2) ),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f57,plain,
! [W] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv4(V) )
| ~ ssRr(W,U) )
| ~ ssPv3(W)
| ssPv2(W)
| ssPv4(W) ),
inference(miniscoping,[status(esa)],[f4]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ~ ssPv3(X2)
| ssPv2(X2)
| ssPv4(X2) ),
inference(cnf_transformation,[status(esa)],[f57]) ).
fof(f59,plain,
! [W] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv4(V) )
| ~ ssRr(W,U) )
| ~ ssPv3(W)
| ssPv1(W)
| ssPv2(W) ),
inference(miniscoping,[status(esa)],[f5]) ).
fof(f60,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ~ ssPv3(X2)
| ssPv1(X2)
| ssPv2(X2) ),
inference(cnf_transformation,[status(esa)],[f59]) ).
fof(f61,plain,
! [W] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv3(V) )
| ~ ssRr(W,U) )
| ~ ssPv3(W)
| ssPv1(W)
| ssPv2(W) ),
inference(miniscoping,[status(esa)],[f6]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ~ ssPv3(X2)
| ssPv1(X2)
| ssPv2(X2) ),
inference(cnf_transformation,[status(esa)],[f61]) ).
fof(f63,plain,
! [W] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv2(V) )
| ~ ssRr(W,U) )
| ~ ssPv2(W)
| ~ ssPv4(W)
| ssPv1(W) ),
inference(miniscoping,[status(esa)],[f7]) ).
fof(f64,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X2,X0)
| ~ ssPv2(X2)
| ~ ssPv4(X2)
| ssPv1(X2) ),
inference(cnf_transformation,[status(esa)],[f63]) ).
fof(f65,plain,
! [W] :
( ! [X] :
( ! [V] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssRr(W,U) )
| ~ ssRr(W,X)
| ssPv1(V) )
| ssPv2(X) )
| ssPv3(W)
| ssPv4(W) ),
inference(miniscoping,[status(esa)],[f8]) ).
fof(f66,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ssPv1(X1)
| ssPv2(X3)
| ssPv3(X2)
| ssPv4(X2) ),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f67,plain,
! [W] :
( ! [X] :
( ! [V] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssRr(W,U) )
| ~ ssRr(W,X)
| ~ ssPv3(W)
| ssPv2(V) )
| ssPv1(X) )
| ssPv4(W) ),
inference(miniscoping,[status(esa)],[f9]) ).
fof(f68,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv3(X2)
| ssPv2(X1)
| ssPv1(X3)
| ssPv4(X2) ),
inference(cnf_transformation,[status(esa)],[f67]) ).
fof(f71,plain,
! [W] :
( ! [V] :
( ! [X] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssRr(W,U) )
| ~ ssRr(W,X)
| ~ ssPv3(X) )
| ssPv1(V) )
| ssPv1(W)
| ssPv2(W) ),
inference(miniscoping,[status(esa)],[f11]) ).
fof(f72,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv3(X3)
| ssPv1(X1)
| ssPv1(X2)
| ssPv2(X2) ),
inference(cnf_transformation,[status(esa)],[f71]) ).
fof(f73,plain,
! [W] :
( ! [X] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv2(V) )
| ~ ssRr(W,U) )
| ~ ssRr(W,X)
| ~ ssPv1(W)
| ssPv1(X) )
| ssPv4(W) ),
inference(miniscoping,[status(esa)],[f12]) ).
fof(f74,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv1(X2)
| ssPv1(X3)
| ssPv4(X2) ),
inference(cnf_transformation,[status(esa)],[f73]) ).
fof(f75,plain,
! [W] :
( ! [X] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv4(V) )
| ~ ssRr(W,U) )
| ~ ssRr(W,X)
| ~ ssPv3(W)
| ssPv4(X) )
| ssPv1(W) ),
inference(miniscoping,[status(esa)],[f13]) ).
fof(f76,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv3(X2)
| ssPv4(X3)
| ssPv1(X2) ),
inference(cnf_transformation,[status(esa)],[f75]) ).
fof(f77,plain,
! [W] :
( ! [V] :
( ! [X] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssRr(W,U) )
| ~ ssRr(W,X)
| ~ ssPv3(X) )
| ~ ssPv2(W)
| ssPv3(V) )
| ssPv1(W) ),
inference(miniscoping,[status(esa)],[f14]) ).
fof(f78,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv3(X3)
| ~ ssPv2(X2)
| ssPv3(X1)
| ssPv1(X2) ),
inference(cnf_transformation,[status(esa)],[f77]) ).
fof(f79,plain,
! [W] :
( ! [X] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv1(V) )
| ~ ssRr(W,U) )
| ~ ssRr(W,X)
| ~ ssPv1(X) )
| ssPv1(W)
| ssPv4(W) ),
inference(miniscoping,[status(esa)],[f15]) ).
fof(f80,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv1(X3)
| ssPv1(X2)
| ssPv4(X2) ),
inference(cnf_transformation,[status(esa)],[f79]) ).
fof(f81,plain,
! [W] :
( ! [V] :
( ! [X] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssRr(W,U) )
| ~ ssRr(W,X)
| ~ ssPv1(X) )
| ~ ssPv1(W)
| ssPv3(V) )
| ssPv4(W) ),
inference(miniscoping,[status(esa)],[f16]) ).
fof(f82,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv1(X3)
| ~ ssPv1(X2)
| ssPv3(X1)
| ssPv4(X2) ),
inference(cnf_transformation,[status(esa)],[f81]) ).
fof(f83,plain,
! [V] :
( ! [W] :
( ! [X] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssRr(W,U) )
| ~ ssRr(W,X)
| ~ ssPv4(X) )
| ~ ssPv3(W)
| ~ ssPv4(W) )
| ssPv4(V) ),
inference(miniscoping,[status(esa)],[f17]) ).
fof(f84,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv4(X3)
| ~ ssPv3(X2)
| ~ ssPv4(X2)
| ssPv4(X1) ),
inference(cnf_transformation,[status(esa)],[f83]) ).
fof(f85,plain,
! [W] :
( ! [X] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv1(V) )
| ~ ssRr(W,U) )
| ~ ssRr(W,X)
| ~ ssPv1(X) )
| ~ ssPv3(W)
| ssPv1(W) ),
inference(miniscoping,[status(esa)],[f18]) ).
fof(f86,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv1(X3)
| ~ ssPv3(X2)
| ssPv1(X2) ),
inference(cnf_transformation,[status(esa)],[f85]) ).
fof(f87,plain,
! [V] :
( ! [W] :
( ! [X] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssRr(W,U) )
| ~ ssRr(W,X)
| ~ ssPv2(X) )
| ~ ssPv2(W)
| ~ ssPv4(W) )
| ssPv3(V) ),
inference(miniscoping,[status(esa)],[f19]) ).
fof(f88,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv2(X3)
| ~ ssPv2(X2)
| ~ ssPv4(X2)
| ssPv3(X1) ),
inference(cnf_transformation,[status(esa)],[f87]) ).
fof(f89,plain,
! [V] :
( ! [W] :
( ! [X] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssRr(W,U) )
| ~ ssRr(W,X)
| ~ ssPv3(X) )
| ~ ssPv1(W)
| ~ ssPv3(W) )
| ssPv4(V) ),
inference(miniscoping,[status(esa)],[f20]) ).
fof(f90,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv3(X3)
| ~ ssPv1(X2)
| ~ ssPv3(X2)
| ssPv4(X1) ),
inference(cnf_transformation,[status(esa)],[f89]) ).
fof(f91,plain,
! [X] :
( ! [W] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv1(V) )
| ~ ssRr(W,U) )
| ~ ssRr(W,X)
| ~ ssPv1(W)
| ~ ssPv2(W) )
| ssPv3(X) ),
inference(miniscoping,[status(esa)],[f21]) ).
fof(f92,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv1(X2)
| ~ ssPv2(X2)
| ssPv3(X3) ),
inference(cnf_transformation,[status(esa)],[f91]) ).
fof(f93,plain,
! [W] :
( ! [X] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv1(V) )
| ~ ssRr(W,U) )
| ~ ssRr(W,X)
| ~ ssPv1(X) )
| ~ ssPv3(W)
| ssPv2(W) ),
inference(miniscoping,[status(esa)],[f22]) ).
fof(f94,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv1(X3)
| ~ ssPv3(X2)
| ssPv2(X2) ),
inference(cnf_transformation,[status(esa)],[f93]) ).
fof(f95,plain,
! [W] :
( ! [X] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv1(V) )
| ~ ssRr(W,U) )
| ~ ssRr(W,X)
| ~ ssPv4(X) )
| ~ ssPv1(W)
| ~ ssPv2(W) ),
inference(miniscoping,[status(esa)],[f23]) ).
fof(f96,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv4(X3)
| ~ ssPv1(X2)
| ~ ssPv2(X2) ),
inference(cnf_transformation,[status(esa)],[f95]) ).
fof(f97,plain,
! [W] :
( ! [Y] :
( ! [V] :
( ! [X] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssRr(W,U) )
| ~ ssRr(X,Y)
| ~ ssRr(W,X) )
| ssPv4(V) )
| ssPv3(Y) )
| ssPv1(W)
| ssPv3(W) ),
inference(miniscoping,[status(esa)],[f24]) ).
fof(f98,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ssPv4(X1)
| ssPv3(X4)
| ssPv1(X2)
| ssPv3(X2) ),
inference(cnf_transformation,[status(esa)],[f97]) ).
fof(f99,plain,
! [W] :
( ! [Y] :
( ! [V] :
( ! [X] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssRr(W,U) )
| ~ ssRr(X,Y)
| ~ ssRr(W,X) )
| ssPv4(V) )
| ssPv2(Y) )
| ssPv3(W)
| ssPv4(W) ),
inference(miniscoping,[status(esa)],[f25]) ).
fof(f100,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ssPv4(X1)
| ssPv2(X4)
| ssPv3(X2)
| ssPv4(X2) ),
inference(cnf_transformation,[status(esa)],[f99]) ).
fof(f101,plain,
! [W] :
( ! [Y] :
( ! [V] :
( ! [X] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssRr(W,U) )
| ~ ssRr(X,Y)
| ~ ssRr(W,X) )
| ~ ssPv1(W)
| ssPv2(V) )
| ssPv1(Y) )
| ssPv3(W) ),
inference(miniscoping,[status(esa)],[f26]) ).
fof(f102,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssPv1(X2)
| ssPv2(X1)
| ssPv1(X4)
| ssPv3(X2) ),
inference(cnf_transformation,[status(esa)],[f101]) ).
fof(f103,plain,
! [W] :
( ! [Y] :
( ! [V] :
( ! [X] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssRr(W,U) )
| ~ ssRr(X,Y)
| ~ ssRr(W,X) )
| ~ ssPv3(W)
| ssPv4(V) )
| ssPv1(Y) )
| ssPv4(W) ),
inference(miniscoping,[status(esa)],[f27]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssPv3(X2)
| ssPv4(X1)
| ssPv1(X4)
| ssPv4(X2) ),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f105,plain,
! [W] :
( ! [Y] :
( ! [X] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv4(V) )
| ~ ssRr(W,U) )
| ~ ssRr(X,Y)
| ~ ssRr(W,X) )
| ssPv1(Y) )
| ssPv3(W)
| ssPv4(W) ),
inference(miniscoping,[status(esa)],[f28]) ).
fof(f106,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ssPv1(X4)
| ssPv3(X2)
| ssPv4(X2) ),
inference(cnf_transformation,[status(esa)],[f105]) ).
fof(f109,plain,
! [Y] :
( ! [V] :
( ! [W] :
( ! [X] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssRr(W,U) )
| ~ ssRr(W,X)
| ~ ssPv4(X) )
| ~ ssRr(W,Y)
| ~ ssPv3(W) )
| ssPv3(V) )
| ssPv3(Y) ),
inference(miniscoping,[status(esa)],[f30]) ).
fof(f110,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv4(X3)
| ~ ssRr(X2,X4)
| ~ ssPv3(X2)
| ssPv3(X1)
| ssPv3(X4) ),
inference(cnf_transformation,[status(esa)],[f109]) ).
fof(f111,plain,
! [W] :
( ! [Y] :
( ! [X] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv4(V) )
| ~ ssRr(W,U) )
| ~ ssRr(X,Y)
| ~ ssRr(W,X) )
| ~ ssPv4(W)
| ssPv3(Y) )
| ssPv3(W) ),
inference(miniscoping,[status(esa)],[f31]) ).
fof(f112,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssPv4(X2)
| ssPv3(X4)
| ssPv3(X2) ),
inference(cnf_transformation,[status(esa)],[f111]) ).
fof(f113,plain,
! [Y] :
( ! [V] :
( ! [W] :
( ! [X] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssRr(W,U) )
| ~ ssRr(X,Y)
| ~ ssRr(W,X) )
| ~ ssPv2(W)
| ~ ssPv3(W) )
| ssPv4(V) )
| ssPv1(Y) ),
inference(miniscoping,[status(esa)],[f32]) ).
fof(f114,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssPv2(X2)
| ~ ssPv3(X2)
| ssPv4(X1)
| ssPv1(X4) ),
inference(cnf_transformation,[status(esa)],[f113]) ).
fof(f115,plain,
! [W] :
( ! [Y] :
( ! [X] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv3(V) )
| ~ ssRr(W,U) )
| ~ ssRr(X,Y)
| ~ ssRr(W,X) )
| ~ ssPv1(W)
| ssPv4(Y) )
| ssPv2(W) ),
inference(miniscoping,[status(esa)],[f33]) ).
fof(f116,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssPv1(X2)
| ssPv4(X4)
| ssPv2(X2) ),
inference(cnf_transformation,[status(esa)],[f115]) ).
fof(f117,plain,
! [Y] :
( ! [V] :
( ! [W] :
( ! [X] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssRr(W,U) )
| ~ ssRr(W,X)
| ~ ssPv1(X) )
| ~ ssRr(W,Y)
| ~ ssPv4(W) )
| ssPv1(V) )
| ssPv4(Y) ),
inference(miniscoping,[status(esa)],[f34]) ).
fof(f118,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv1(X3)
| ~ ssRr(X2,X4)
| ~ ssPv4(X2)
| ssPv1(X1)
| ssPv4(X4) ),
inference(cnf_transformation,[status(esa)],[f117]) ).
fof(f119,plain,
! [W] :
( ! [Y] :
( ! [X] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv1(V) )
| ~ ssRr(W,U) )
| ~ ssRr(W,X)
| ~ ssPv1(X) )
| ~ ssRr(W,Y)
| ssPv1(Y) )
| ssPv1(W) ),
inference(miniscoping,[status(esa)],[f35]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv1(X3)
| ~ ssRr(X2,X4)
| ssPv1(X4)
| ssPv1(X2) ),
inference(cnf_transformation,[status(esa)],[f119]) ).
fof(f121,plain,
! [W] :
( ! [X] :
( ! [Y] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv4(V) )
| ~ ssRr(W,U) )
| ~ ssRr(X,Y)
| ~ ssPv3(Y) )
| ~ ssRr(W,X) )
| ~ ssPv4(W)
| ssPv1(W) ),
inference(miniscoping,[status(esa)],[f36]) ).
fof(f122,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssPv3(X4)
| ~ ssRr(X2,X3)
| ~ ssPv4(X2)
| ssPv1(X2) ),
inference(cnf_transformation,[status(esa)],[f121]) ).
fof(f127,plain,
! [Z] :
( ! [Y] :
( ! [V] :
( ! [W] :
( ! [X] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssRr(W,U) )
| ~ ssRr(X,Y)
| ~ ssRr(W,X) )
| ~ ssRr(W,Z)
| ~ ssPv4(W) )
| ssPv4(V) )
| ssPv3(Y) )
| ssPv1(Z) ),
inference(miniscoping,[status(esa)],[f39]) ).
fof(f128,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X5)
| ~ ssPv4(X2)
| ssPv4(X1)
| ssPv3(X4)
| ssPv1(X5) ),
inference(cnf_transformation,[status(esa)],[f127]) ).
fof(f153,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ssPv2(X2)
| ssPv4(X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f58,f54]) ).
fof(f154,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv4(X1)
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f153,f52]) ).
fof(f155,plain,
! [X0] :
( ~ ssPv4(skf1(skf1(X0)))
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f154,f52]) ).
fof(f156,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv1(X1)
| ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f56,f52]) ).
fof(f157,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv4(X1)
| ~ ssPv3(X0)
| ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f60,f52]) ).
fof(f158,plain,
! [X0] :
( ~ ssPv1(skf1(skf1(X0)))
| ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f156,f52]) ).
fof(f159,plain,
! [X0] :
( ~ ssPv4(skf1(skf1(X0)))
| ~ ssPv3(X0)
| ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f157,f52]) ).
fof(f160,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv3(X1)
| ~ ssPv3(X0)
| ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f62,f52]) ).
fof(f161,plain,
! [X0] :
( ~ ssPv3(skf1(skf1(X0)))
| ~ ssPv3(X0)
| ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f160,f52]) ).
fof(f162,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv2(X1)
| ~ ssPv2(X0)
| ~ ssPv4(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f64,f52]) ).
fof(f163,plain,
! [X0] :
( ~ ssPv2(skf1(skf1(X0)))
| ~ ssPv2(X0)
| ~ ssPv4(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f162,f52]) ).
fof(f164,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ssPv1(X1)
| ssPv2(skf1(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f66,f52]) ).
fof(f168,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv3(X0)
| ssPv2(X1)
| ssPv1(skf1(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f68,f52]) ).
fof(f172,plain,
! [X0] :
( ssPv1(skf1(skf1(X0)))
| ssPv2(skf1(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f164,f52]) ).
fof(f177,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv2(skf1(skf1(X0)))
| ssPv1(skf1(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f168,f52]) ).
fof(f190,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv3(skf1(X0))
| ssPv1(X1)
| ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f72,f52]) ).
fof(f194,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv2(X1)
| ~ ssPv1(X0)
| ssPv1(skf1(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f74,f52]) ).
fof(f198,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv4(X1)
| ~ ssPv3(X0)
| ssPv4(skf1(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f76,f52]) ).
fof(f204,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv1(skf1(skf1(X0)))
| ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f190,f52]) ).
fof(f205,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv1(X0)
| ssPv2(X0)
| ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f204,f158]) ).
fof(f206,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f205]) ).
fof(f208,plain,
! [X0] :
( ~ ssPv2(skf1(skf1(X0)))
| ~ ssPv1(X0)
| ssPv1(skf1(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f194,f52]) ).
fof(f213,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssPv3(X0)
| ssPv1(skf1(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f208,f177]) ).
fof(f214,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssPv3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f213]) ).
fof(f221,plain,
! [X0] :
( ~ ssPv4(skf1(skf1(X0)))
| ~ ssPv3(X0)
| ssPv4(skf1(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f198,f52]) ).
fof(f235,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv3(skf1(X0))
| ~ ssPv2(X0)
| ssPv3(X1)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f78,f52]) ).
fof(f239,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv1(X1)
| ~ ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f80,f52]) ).
fof(f243,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv1(skf1(X0))
| ~ ssPv1(X0)
| ssPv3(X1)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f82,f52]) ).
fof(f245,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(skf1(X2))
| ~ ssPv1(X2)
| ssPv3(X1)
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f82,f52]) ).
fof(f247,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv4(skf1(X0))
| ~ ssPv3(X0)
| ~ ssPv4(X0)
| ssPv4(X1) ),
inference(resolution,[status(thm)],[f84,f52]) ).
fof(f254,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ~ ssPv2(X0)
| ssPv3(skf1(skf1(X0)))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f235,f52]) ).
fof(f256,plain,
! [X0] :
( ~ ssPv1(skf1(skf1(X0)))
| ~ ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f239,f52]) ).
fof(f263,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv4(X0)
| ssPv2(skf1(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f256,f172]) ).
fof(f264,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv4(X0)
| ssPv2(skf1(X0))
| ssPv3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f263]) ).
fof(f265,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv4(X0)
| ~ ssPv1(skf1(X0))
| ssPv4(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f256,f214]) ).
fof(f266,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv4(X0)
| ssPv4(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f265]) ).
fof(f278,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ~ ssPv1(X0)
| ssPv3(skf1(skf1(X0)))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f243,f52]) ).
fof(f280,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ~ ssPv3(X0)
| ~ ssPv4(X0)
| ssPv4(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f247,f52]) ).
fof(f357,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X2)
| ssPv3(X1)
| ssPv4(X2)
| ~ ssPv1(X2)
| ssPv4(X2)
| ~ ssPv3(X2) ),
inference(resolution,[status(thm)],[f245,f214]) ).
fof(f358,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X2)
| ssPv3(X1)
| ssPv4(X2)
| ~ ssPv3(X2) ),
inference(duplicate_literals_removal,[status(esa)],[f357]) ).
fof(f359,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv1(X1)
| ~ ssPv1(skf1(X0))
| ~ ssPv3(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f86,f52]) ).
fof(f362,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X0)
| ~ ssPv3(X2)
| ssPv1(X2) ),
inference(factoring,[status(esa)],[f86]) ).
fof(f363,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv2(skf1(X0))
| ~ ssPv2(X0)
| ~ ssPv4(X0)
| ssPv3(X1) ),
inference(resolution,[status(thm)],[f88,f52]) ).
fof(f367,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv3(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv3(X0)
| ssPv4(X1) ),
inference(resolution,[status(thm)],[f90,f52]) ).
fof(f371,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv1(X1)
| ~ ssPv1(X0)
| ~ ssPv2(X0)
| ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f92,f52]) ).
fof(f372,plain,
! [X0,X1,X2] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv1(X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X0)
| ~ ssPv2(X0)
| ssPv3(X2) ),
inference(resolution,[status(thm)],[f92,f52]) ).
fof(f375,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv1(X1)
| ~ ssPv1(skf1(X0))
| ~ ssPv3(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f94,f52]) ).
fof(f377,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(skf1(X2))
| ~ ssPv3(X2)
| ssPv2(X2) ),
inference(resolution,[status(thm)],[f94,f52]) ).
fof(f379,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv1(X1)
| ~ ssPv4(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[f96,f52]) ).
fof(f380,plain,
! [X0,X1,X2] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv1(X1)
| ~ ssRr(X0,X2)
| ~ ssPv4(X2)
| ~ ssPv1(X0)
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[f96,f52]) ).
fof(f381,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X2,X0)
| ~ ssPv4(skf1(X2))
| ~ ssPv1(X2)
| ~ ssPv2(X2) ),
inference(resolution,[status(thm)],[f96,f52]) ).
fof(f385,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ssPv4(X1)
| ssPv3(skf1(X3))
| ssPv1(X2)
| ssPv3(X2) ),
inference(resolution,[status(thm)],[f98,f52]) ).
fof(f391,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ssPv4(X1)
| ssPv2(skf1(X3))
| ssPv3(X2)
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f100,f52]) ).
fof(f397,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv1(X0)
| ssPv3(X1)
| ssPv4(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f358,f52]) ).
fof(f398,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv3(skf1(skf1(X0)))
| ssPv4(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f397,f52]) ).
fof(f403,plain,
! [X0] :
( ~ ssPv1(skf1(skf1(X0)))
| ~ ssPv1(skf1(X0))
| ~ ssPv3(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f359,f52]) ).
fof(f407,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ~ ssPv3(X0)
| ssPv1(X0)
| ~ ssPv3(skf1(X0))
| ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f403,f204]) ).
fof(f408,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ~ ssPv3(X0)
| ssPv1(X0)
| ~ ssPv3(skf1(X0))
| ssPv2(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f407]) ).
fof(f409,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ssPv1(X0)
| ~ ssPv3(skf1(X0))
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f408,f206]) ).
fof(f423,plain,
! [X0] :
( ssPv1(skf1(X0))
| ~ ssPv3(skf1(skf1(X0)))
| ssPv2(skf1(X0))
| ssPv2(skf1(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f409,f172]) ).
fof(f424,plain,
! [X0] :
( ssPv1(skf1(X0))
| ~ ssPv3(skf1(skf1(X0)))
| ssPv2(skf1(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f423]) ).
fof(f433,plain,
! [X0] :
( ~ ssPv2(skf1(X0))
| ~ ssPv2(X0)
| ~ ssPv4(X0)
| ssPv3(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f363,f52]) ).
fof(f437,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv3(X0)
| ssPv4(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f367,f52]) ).
fof(f438,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv3(X0)
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f437,f155]) ).
fof(f449,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ssPv4(skf1(X0))
| ~ ssPv1(skf1(X0))
| ~ ssPv1(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f438,f278]) ).
fof(f450,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ssPv4(skf1(X0))
| ~ ssPv1(X0)
| ssPv4(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f449]) ).
fof(f451,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ssPv4(skf1(X0))
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f450,f266]) ).
fof(f457,plain,
! [X0] :
( ~ ssPv1(skf1(skf1(X0)))
| ~ ssPv1(X0)
| ~ ssPv2(X0)
| ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f371,f52]) ).
fof(f459,plain,
! [X0] :
( ~ ssPv1(X0)
| ~ ssPv2(X0)
| ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f457,f172]) ).
fof(f461,plain,
! [X0] :
( ~ ssPv1(skf1(skf1(X0)))
| ~ ssPv1(skf1(X0))
| ~ ssPv3(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f375,f52]) ).
fof(f469,plain,
! [X0] :
( ~ ssPv1(skf1(skf1(X0)))
| ~ ssPv4(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[f379,f52]) ).
fof(f471,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv2(X0)
| ssPv2(skf1(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f469,f172]) ).
fof(f562,plain,
! [X0,X1] :
( ~ ssPv1(skf1(skf1(X0)))
| ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ~ ssPv2(X0)
| ssPv3(X1) ),
inference(resolution,[status(thm)],[f372,f52]) ).
fof(f580,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X2,X0)
| ~ ssPv3(X2)
| ssPv2(X2)
| ~ ssPv1(X2)
| ssPv4(X2)
| ~ ssPv3(X2) ),
inference(resolution,[status(thm)],[f377,f214]) ).
fof(f581,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X2,X0)
| ~ ssPv3(X2)
| ssPv2(X2)
| ~ ssPv1(X2)
| ssPv4(X2) ),
inference(duplicate_literals_removal,[status(esa)],[f580]) ).
fof(f582,plain,
! [X0,X1] :
( ~ ssPv1(skf1(skf1(X0)))
| ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssPv1(X0)
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[f380,f52]) ).
fof(f589,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(skf1(X2),X0)
| ~ ssPv1(skf1(X2))
| ~ ssPv2(skf1(X2))
| ~ ssPv3(skf1(X2))
| ~ ssPv1(X2)
| ~ ssPv3(X2) ),
inference(resolution,[status(thm)],[f381,f437]) ).
fof(f599,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv1(X2)
| ssPv2(X1)
| ssPv1(skf1(X3))
| ssPv3(X2) ),
inference(resolution,[status(thm)],[f102,f52]) ).
fof(f603,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv3(X2)
| ssPv4(X1)
| ssPv1(skf1(X3))
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f104,f52]) ).
fof(f609,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ssPv1(skf1(X3))
| ssPv3(X2)
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f106,f52]) ).
fof(f616,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv4(skf1(X0))
| ~ ssPv3(X0)
| ssPv3(X1)
| ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f110,f52]) ).
fof(f624,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv4(X2)
| ssPv3(skf1(X3))
| ssPv3(X2) ),
inference(resolution,[status(thm)],[f112,f52]) ).
fof(f630,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv2(X2)
| ~ ssPv3(X2)
| ssPv4(X1)
| ssPv1(skf1(X3)) ),
inference(resolution,[status(thm)],[f114,f52]) ).
fof(f636,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv1(X2)
| ssPv4(skf1(X3))
| ssPv2(X2) ),
inference(resolution,[status(thm)],[f116,f52]) ).
fof(f639,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv1(skf1(X0))
| ~ ssPv4(X0)
| ssPv1(X1)
| ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f118,f52]) ).
fof(f648,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(skf1(X2))
| ~ ssRr(X2,X3)
| ssPv1(X3)
| ssPv1(X2) ),
inference(resolution,[status(thm)],[f120,f52]) ).
fof(f652,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ~ ssPv3(skf1(X3))
| ~ ssRr(X2,X3)
| ~ ssPv4(X2)
| ssPv1(X2) ),
inference(resolution,[status(thm)],[f122,f52]) ).
fof(f697,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X4)
| ~ ssPv4(X2)
| ssPv4(X1)
| ssPv3(skf1(X3))
| ssPv1(X4) ),
inference(resolution,[status(thm)],[f128,f52]) ).
fof(f740,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ~ ssPv3(X0)
| ssPv3(skf1(skf1(X0)))
| ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f616,f52]) ).
fof(f741,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ~ ssPv3(X0)
| ssPv3(skf1(X0))
| ~ ssPv3(X0)
| ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f740,f161]) ).
fof(f742,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ~ ssPv3(X0)
| ssPv3(skf1(X0))
| ssPv1(X0)
| ssPv2(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f741]) ).
fof(f747,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ~ ssPv3(X0)
| ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ssPv2(skf1(X0))
| ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f740,f206]) ).
fof(f748,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ~ ssPv3(X0)
| ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ssPv2(skf1(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f747]) ).
fof(f769,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ~ ssPv4(X0)
| ssPv1(skf1(skf1(X0)))
| ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f639,f52]) ).
fof(f776,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ~ ssPv4(X0)
| ssPv4(skf1(X0))
| ~ ssPv1(skf1(X0))
| ~ ssPv3(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f769,f461]) ).
fof(f777,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ~ ssPv4(X0)
| ssPv4(skf1(X0))
| ~ ssPv3(X0)
| ssPv2(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f776]) ).
fof(f779,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ~ ssPv4(X0)
| ssPv4(skf1(X0))
| ~ ssPv1(skf1(X0))
| ~ ssPv3(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f769,f403]) ).
fof(f780,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ~ ssPv4(X0)
| ssPv4(skf1(X0))
| ~ ssPv3(X0)
| ssPv1(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f779]) ).
fof(f781,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ~ ssPv4(X0)
| ssPv4(skf1(X0))
| ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f769,f158]) ).
fof(f782,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ~ ssPv4(X0)
| ssPv4(skf1(X0))
| ssPv1(X0)
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f781,f780]) ).
fof(f814,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ssPv4(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ssPv2(skf1(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f777,f172]) ).
fof(f815,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ssPv4(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f814]) ).
fof(f818,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ssPv4(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0))
| ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f780,f204]) ).
fof(f819,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ssPv4(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv2(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f818]) ).
fof(f820,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ssPv4(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0))
| ssPv1(X0)
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f819,f409]) ).
fof(f860,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ssPv4(skf1(X0))
| ssPv4(X0)
| ~ ssPv1(X0)
| ssPv4(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f451,f214]) ).
fof(f861,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ssPv4(skf1(X0))
| ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssPv3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f860]) ).
fof(f869,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv1(X1)
| ~ ssPv3(X0)
| ssPv2(X0)
| ~ ssPv1(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f581,f52]) ).
fof(f870,plain,
! [X0] :
( ~ ssPv1(skf1(skf1(X0)))
| ~ ssPv3(X0)
| ssPv2(X0)
| ~ ssPv1(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f869,f52]) ).
fof(f874,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ssPv1(skf1(skf1(X0)))
| ssPv2(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f748,f437]) ).
fof(f875,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ssPv1(skf1(skf1(X0)))
| ssPv2(skf1(skf1(X0)))
| ~ ssPv1(X0)
| ~ ssPv3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f874]) ).
fof(f880,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ~ ssPv3(skf1(X0))
| ssPv1(X0)
| ssPv2(X0)
| ~ ssPv3(X0)
| ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f820,f159]) ).
fof(f881,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ~ ssPv3(skf1(X0))
| ssPv1(X0)
| ssPv2(X0)
| ~ ssPv3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f880]) ).
fof(f882,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ssPv1(X0)
| ssPv2(X0)
| ~ ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f881,f742]) ).
fof(f938,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv3(skf1(X0))
| ~ ssPv3(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f882,f437]) ).
fof(f939,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv3(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f938]) ).
fof(f1131,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ssPv4(X1)
| ssPv3(skf1(skf1(X0)))
| ssPv1(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f385,f52]) ).
fof(f1339,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ssPv3(skf1(skf1(X0)))
| ssPv1(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f1131,f52]) ).
fof(f1340,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ssPv1(X0)
| ssPv3(X0)
| ssPv1(skf1(X0))
| ssPv2(skf1(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f1339,f424]) ).
fof(f1341,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ssPv1(X0)
| ssPv3(X0)
| ssPv1(skf1(X0))
| ssPv2(skf1(X0))
| ssPv4(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f1340]) ).
fof(f1342,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ssPv1(X0)
| ssPv3(X0)
| ssPv2(skf1(X0))
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1341,f264]) ).
fof(f1367,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(X0)
| ssPv2(skf1(X0))
| ssPv4(X0)
| ssPv1(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f1342,f882]) ).
fof(f1368,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(X0)
| ssPv2(skf1(X0))
| ssPv4(X0)
| ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f1367]) ).
fof(f1369,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(X0)
| ssPv2(skf1(X0))
| ssPv4(X0)
| ~ ssPv3(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1368,f264]) ).
fof(f1463,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ssPv4(X1)
| ssPv2(skf1(skf1(X0)))
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f391,f52]) ).
fof(f1469,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv1(X0)
| ssPv2(X1)
| ssPv1(skf1(skf1(X0)))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f599,f52]) ).
fof(f1475,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv3(X0)
| ssPv4(X1)
| ssPv1(skf1(skf1(X0)))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f603,f52]) ).
fof(f1481,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv4(X1)
| ssPv1(skf1(skf1(X0)))
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f609,f52]) ).
fof(f1487,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ssPv2(skf1(skf1(X0)))
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f1463,f52]) ).
fof(f1492,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ssPv3(X0)
| ssPv4(X0)
| ~ ssPv1(X0)
| ssPv1(skf1(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f1487,f208]) ).
fof(f1493,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ssPv3(X0)
| ssPv4(X0)
| ~ ssPv1(X0)
| ssPv1(skf1(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f1492]) ).
fof(f1494,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ssPv4(X0)
| ~ ssPv1(X0)
| ssPv1(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1493,f214]) ).
fof(f1509,plain,
! [X0] :
( ssPv4(X0)
| ~ ssPv1(X0)
| ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f1494,f155]) ).
fof(f1510,plain,
! [X0] :
( ssPv4(X0)
| ~ ssPv1(X0)
| ssPv1(skf1(X0))
| ssPv2(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f1509]) ).
fof(f1520,plain,
! [X0] :
( ssPv4(X0)
| ~ ssPv1(X0)
| ssPv1(skf1(X0))
| ssPv1(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f1494,f882]) ).
fof(f1521,plain,
! [X0] :
( ssPv4(X0)
| ~ ssPv1(X0)
| ssPv1(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f1520]) ).
fof(f1542,plain,
! [X0] :
( ssPv4(skf1(X0))
| ~ ssPv1(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv2(X0)
| ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f1510,f457]) ).
fof(f1556,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ~ ssPv1(X0)
| ssPv2(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ssPv3(X2)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f1510,f245]) ).
fof(f1557,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ~ ssPv1(X0)
| ssPv2(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ssPv3(X2) ),
inference(duplicate_literals_removal,[status(esa)],[f1556]) ).
fof(f1568,plain,
! [X0,X1] :
( ssPv4(X0)
| ~ ssPv1(X0)
| ssPv2(X0)
| ~ ssRr(X0,X1)
| ssPv3(skf1(X1)) ),
inference(resolution,[status(thm)],[f1557,f52]) ).
fof(f1569,plain,
! [X0] :
( ssPv4(X0)
| ~ ssPv1(X0)
| ssPv2(X0)
| ssPv3(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f1568,f52]) ).
fof(f1598,plain,
! [X0] :
( ssPv4(X0)
| ~ ssPv1(X0)
| ssPv1(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv2(X0)
| ssPv2(skf1(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f1521,f459]) ).
fof(f1599,plain,
! [X0] :
( ssPv4(X0)
| ~ ssPv1(X0)
| ssPv1(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv2(X0)
| ssPv3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f1598]) ).
fof(f1600,plain,
! [X0] :
( ssPv4(X0)
| ~ ssPv1(X0)
| ssPv1(skf1(X0))
| ssPv2(skf1(X0))
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1599,f1510]) ).
fof(f1631,plain,
! [X0] :
( ssPv4(X0)
| ~ ssPv1(X0)
| ssPv2(skf1(X0))
| ssPv3(X0)
| ~ ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ssPv4(skf1(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f1600,f451]) ).
fof(f1632,plain,
! [X0] :
( ssPv4(X0)
| ~ ssPv1(X0)
| ssPv2(skf1(X0))
| ssPv3(X0)
| ~ ssPv3(skf1(X0))
| ssPv4(skf1(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f1631]) ).
fof(f1633,plain,
! [X0] :
( ssPv4(X0)
| ssPv2(skf1(X0))
| ssPv3(X0)
| ~ ssPv3(skf1(X0))
| ssPv4(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1632,f1369]) ).
fof(f1634,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ~ ssPv1(X0)
| ssPv2(skf1(X0))
| ssPv3(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ssPv3(X2)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f1600,f245]) ).
fof(f1635,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ~ ssPv1(X0)
| ssPv2(skf1(X0))
| ssPv3(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ssPv3(X2) ),
inference(duplicate_literals_removal,[status(esa)],[f1634]) ).
fof(f1636,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ~ ssPv1(X0)
| ssPv2(skf1(X0))
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ssPv3(X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f1635,f358]) ).
fof(f1638,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ssPv4(skf1(X0))
| ssPv4(X0)
| ~ ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f861,f1633]) ).
fof(f1639,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f815,f1633]) ).
fof(f1710,plain,
! [X0] :
( ssPv4(X0)
| ssPv2(skf1(X0))
| ssPv3(X0)
| ssPv4(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv2(X0)
| ssPv2(skf1(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f1633,f459]) ).
fof(f1711,plain,
! [X0] :
( ssPv4(X0)
| ssPv2(skf1(X0))
| ssPv3(X0)
| ssPv4(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv2(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f1710]) ).
fof(f1712,plain,
! [X0] :
( ssPv4(X0)
| ssPv2(skf1(X0))
| ssPv3(X0)
| ~ ssPv1(X0)
| ~ ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1711,f471]) ).
fof(f1717,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv3(skf1(X0))
| ~ ssPv1(skf1(X0))
| ~ ssPv2(skf1(X0))
| ~ ssPv2(X0)
| ~ ssPv4(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f1712,f163]) ).
fof(f1718,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv3(skf1(X0))
| ~ ssPv1(skf1(X0))
| ~ ssPv2(skf1(X0))
| ~ ssPv4(X0)
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1717,f782]) ).
fof(f1748,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv2(skf1(skf1(X0)))
| ssPv1(skf1(skf1(X0)))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f1469,f52]) ).
fof(f1749,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ssPv1(skf1(skf1(X0)))
| ssPv2(skf1(skf1(X0)))
| ~ ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f875,f1748]) ).
fof(f1757,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv2(skf1(skf1(X0)))
| ssPv3(X0)
| ~ ssPv1(X0)
| ~ ssPv2(X0)
| ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f1748,f457]) ).
fof(f1758,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv2(skf1(skf1(X0)))
| ssPv3(X0)
| ~ ssPv2(X0)
| ssPv3(skf1(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f1757]) ).
fof(f1813,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv3(X0)
| ~ ssPv2(X0)
| ssPv3(skf1(X0))
| ~ ssPv1(X0)
| ssPv1(skf1(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f1758,f208]) ).
fof(f1814,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv3(X0)
| ~ ssPv2(X0)
| ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ssPv4(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f1813]) ).
fof(f1815,plain,
! [X0] :
( ~ ssPv1(X0)
| ~ ssPv2(X0)
| ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1814,f214]) ).
fof(f1858,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv4(skf1(skf1(X0)))
| ssPv1(skf1(skf1(X0)))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f1475,f52]) ).
fof(f1884,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv4(skf1(skf1(X0)))
| ssPv4(X0)
| ~ ssPv3(X0)
| ssPv2(X0)
| ~ ssPv1(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f1858,f870]) ).
fof(f1885,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv4(skf1(skf1(X0)))
| ssPv4(X0)
| ssPv2(X0)
| ~ ssPv1(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f1884]) ).
fof(f1886,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv4(X0)
| ssPv2(X0)
| ~ ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1885,f155]) ).
fof(f1898,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv4(skf1(skf1(X0)))
| ssPv4(X0)
| ~ ssPv1(skf1(X0))
| ~ ssPv3(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f1858,f461]) ).
fof(f1899,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv4(skf1(skf1(X0)))
| ssPv4(X0)
| ~ ssPv1(skf1(X0))
| ssPv2(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f1898]) ).
fof(f1900,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv4(X0)
| ~ ssPv1(skf1(X0))
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1899,f155]) ).
fof(f1903,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv4(skf1(skf1(X0)))
| ssPv4(X0)
| ~ ssPv1(skf1(X0))
| ~ ssPv3(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f1858,f403]) ).
fof(f1904,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv4(skf1(skf1(X0)))
| ssPv4(X0)
| ~ ssPv1(skf1(X0))
| ssPv1(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f1903]) ).
fof(f1930,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv4(skf1(skf1(X0)))
| ssPv4(X0)
| ~ ssPv4(skf1(X0))
| ssPv4(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0))
| ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f1858,f777]) ).
fof(f1931,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv4(skf1(skf1(X0)))
| ssPv4(X0)
| ~ ssPv4(skf1(X0))
| ~ ssPv3(skf1(X0))
| ssPv2(skf1(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f1930]) ).
fof(f1932,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ssPv4(X0)
| ~ ssPv4(skf1(X0))
| ~ ssPv3(skf1(X0))
| ssPv2(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1931,f1639]) ).
fof(f1952,plain,
! [X0] :
( ssPv4(skf1(X0))
| ~ ssPv1(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1542,f1886]) ).
fof(f1954,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ssPv4(skf1(X0))
| ~ ssPv3(X0)
| ssPv2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f777,f1900]) ).
fof(f1977,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv4(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv3(X0)
| ssPv4(skf1(skf1(X0)))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f1900,f1858]) ).
fof(f1978,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv4(skf1(X0))
| ssPv2(skf1(X0))
| ssPv4(skf1(skf1(X0)))
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1977,f1633]) ).
fof(f1996,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ssPv4(X0)
| ~ ssPv3(skf1(X0))
| ssPv2(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f1932,f1978]) ).
fof(f2028,plain,
! [X0] :
( ssPv4(X0)
| ~ ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv3(X0)
| ssPv4(skf1(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f1996,f221]) ).
fof(f2029,plain,
! [X0] :
( ssPv4(X0)
| ~ ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ssPv4(skf1(X0))
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2028,f1633]) ).
fof(f2055,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ssPv4(skf1(X0))
| ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1638,f2029]) ).
fof(f2167,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv4(X0)
| ~ ssPv1(skf1(X0))
| ssPv1(X0)
| ~ ssPv3(X0)
| ssPv4(skf1(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f1904,f221]) ).
fof(f2168,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv4(X0)
| ~ ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv4(skf1(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f2167]) ).
fof(f2169,plain,
! [X0] :
( ~ ssPv3(X0)
| ~ ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv4(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2168,f780]) ).
fof(f2209,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ssPv4(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0))
| ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f2169,f204]) ).
fof(f2210,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ssPv4(skf1(skf1(X0)))
| ssPv1(X0)
| ssPv2(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f2209]) ).
fof(f2211,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv4(skf1(skf1(X0)))
| ssPv1(X0)
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2210,f409]) ).
fof(f2227,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv1(X0)
| ssPv2(X0)
| ~ ssPv3(X0)
| ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f2211,f159]) ).
fof(f2228,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv1(X0)
| ssPv2(X0)
| ~ ssPv3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f2227]) ).
fof(f2229,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv1(X0)
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2228,f206]) ).
fof(f2261,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f254,f2229]) ).
fof(f2264,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ssPv1(skf1(skf1(X0)))
| ssPv2(skf1(skf1(X0))) ),
inference(backward_subsumption_resolution,[status(thm)],[f1749,f2261]) ).
fof(f2282,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv1(X0)
| ssPv1(skf1(X0))
| ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f2261,f2229]) ).
fof(f2294,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv3(skf1(X0))
| ~ ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f939,f2282]) ).
fof(f2297,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv1(skf1(skf1(X0)))
| ssPv2(skf1(skf1(X0))) ),
inference(backward_subsumption_resolution,[status(thm)],[f2264,f2294]) ).
fof(f2300,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv4(X1)
| ~ ssPv4(X0)
| ssPv3(skf1(skf1(X0)))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f624,f52]) ).
fof(f2307,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv2(X0)
| ~ ssPv3(X0)
| ssPv4(X1)
| ssPv1(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f630,f52]) ).
fof(f2364,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv2(skf1(skf1(X0)))
| ~ ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f2297,f256]) ).
fof(f2366,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv2(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ssPv4(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f2297,f2169]) ).
fof(f2367,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv2(skf1(skf1(X0)))
| ssPv1(skf1(X0))
| ssPv4(skf1(skf1(X0))) ),
inference(duplicate_literals_removal,[status(esa)],[f2366]) ).
fof(f2368,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv2(skf1(skf1(X0)))
| ssPv4(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0))
| ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f2297,f1954]) ).
fof(f2369,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv2(skf1(skf1(X0)))
| ssPv4(skf1(skf1(X0)))
| ssPv2(skf1(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f2368]) ).
fof(f2388,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ssPv2(skf1(skf1(X0)))
| ~ ssPv1(skf1(X0))
| ~ ssPv2(skf1(X0))
| ~ ssPv3(skf1(X0))
| ssPv2(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f1952,f2297]) ).
fof(f2389,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ssPv2(skf1(skf1(X0)))
| ~ ssPv1(skf1(X0))
| ~ ssPv2(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f2388]) ).
fof(f2390,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ssPv2(skf1(skf1(X0)))
| ~ ssPv2(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2389,f2367]) ).
fof(f2400,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv2(X0)
| ~ ssPv1(X0)
| ~ ssPv2(X0)
| ssPv3(skf1(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f1952,f1815]) ).
fof(f2401,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv2(X0)
| ssPv3(skf1(X0))
| ssPv4(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f2400]) ).
fof(f2402,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv2(X0)
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2401,f2055]) ).
fof(f2409,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv2(skf1(skf1(X0)))
| ssPv4(skf1(skf1(X0))) ),
inference(backward_subsumption_resolution,[status(thm)],[f2369,f2390]) ).
fof(f2419,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv4(skf1(skf1(X0)))
| ~ ssPv2(X0)
| ~ ssPv4(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f2409,f163]) ).
fof(f2420,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv4(skf1(skf1(X0)))
| ~ ssPv4(X0)
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2419,f2229]) ).
fof(f2546,plain,
! [X0] :
( ~ ssPv4(skf1(skf1(X0)))
| ssPv1(skf1(skf1(X0)))
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f1481,f52]) ).
fof(f2550,plain,
! [X0] :
( ssPv1(skf1(skf1(X0)))
| ssPv3(X0)
| ssPv4(X0)
| ssPv4(X0)
| ~ ssPv1(X0)
| ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f2546,f1494]) ).
fof(f2551,plain,
! [X0] :
( ssPv1(skf1(skf1(X0)))
| ssPv3(X0)
| ssPv4(X0)
| ~ ssPv1(X0)
| ssPv1(skf1(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f2550]) ).
fof(f2552,plain,
! [X0] :
( ssPv1(skf1(skf1(X0)))
| ssPv4(X0)
| ~ ssPv1(X0)
| ssPv1(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2551,f214]) ).
fof(f2555,plain,
! [X0,X1] :
( ssPv4(X0)
| ~ ssPv1(X0)
| ssPv1(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssPv1(X0)
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[f2552,f582]) ).
fof(f2556,plain,
! [X0,X1] :
( ssPv4(X0)
| ~ ssPv1(X0)
| ssPv1(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssPv2(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f2555]) ).
fof(f2557,plain,
! [X0,X1] :
( ssPv4(X0)
| ~ ssPv1(X0)
| ssPv1(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv4(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f2556,f1510]) ).
fof(f2559,plain,
! [X0,X1] :
( ssPv4(X0)
| ~ ssPv1(X0)
| ssPv1(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ~ ssPv2(X0)
| ssPv3(X1) ),
inference(resolution,[status(thm)],[f2552,f562]) ).
fof(f2560,plain,
! [X0,X1] :
( ssPv4(X0)
| ~ ssPv1(X0)
| ssPv1(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ssPv3(X1) ),
inference(duplicate_literals_removal,[status(esa)],[f2559]) ).
fof(f2561,plain,
! [X0,X1] :
( ssPv4(X0)
| ~ ssPv1(X0)
| ssPv1(skf1(X0))
| ~ ssRr(X0,X1)
| ssPv3(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f2560,f1510]) ).
fof(f2596,plain,
! [X0] :
( ssPv4(X0)
| ~ ssPv1(X0)
| ssPv1(skf1(X0))
| ~ ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f2557,f52]) ).
fof(f2638,plain,
! [X0] :
( ssPv4(X0)
| ~ ssPv1(X0)
| ssPv1(skf1(X0))
| ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f2561,f52]) ).
fof(f2675,plain,
! [X0,X1] :
( ssPv4(X0)
| ~ ssPv1(X0)
| ssPv2(skf1(X0))
| ~ ssRr(X0,X1)
| ssPv3(skf1(X1)) ),
inference(resolution,[status(thm)],[f1636,f52]) ).
fof(f2676,plain,
! [X0] :
( ssPv4(X0)
| ~ ssPv1(X0)
| ssPv2(skf1(X0))
| ssPv3(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f2675,f52]) ).
fof(f2694,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv3(X1)
| ~ ssPv1(X0)
| ssPv4(skf1(skf1(X0)))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f636,f52]) ).
fof(f2755,plain,
! [X0] :
( ~ ssPv4(skf1(skf1(X0)))
| ~ ssPv4(X0)
| ssPv3(skf1(skf1(X0)))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f2300,f52]) ).
fof(f2760,plain,
! [X0] :
( ~ ssPv2(X0)
| ~ ssPv3(X0)
| ssPv4(skf1(skf1(X0)))
| ssPv1(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f2307,f52]) ).
fof(f2771,plain,
! [X0] :
( ~ ssPv2(X0)
| ~ ssPv3(X0)
| ssPv4(skf1(skf1(X0)))
| ~ ssPv1(X0)
| ~ ssPv2(X0)
| ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f2760,f457]) ).
fof(f2772,plain,
! [X0] :
( ~ ssPv2(X0)
| ~ ssPv3(X0)
| ssPv4(skf1(skf1(X0)))
| ~ ssPv1(X0)
| ssPv3(skf1(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f2771]) ).
fof(f2773,plain,
! [X0] :
( ~ ssPv2(X0)
| ~ ssPv3(X0)
| ssPv4(skf1(skf1(X0)))
| ~ ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2772,f437]) ).
fof(f2774,plain,
! [X0] :
( ~ ssPv2(X0)
| ~ ssPv3(X0)
| ssPv4(skf1(skf1(X0)))
| ~ ssPv1(skf1(X0))
| ~ ssPv3(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f2760,f403]) ).
fof(f2775,plain,
! [X0] :
( ~ ssPv2(X0)
| ~ ssPv3(X0)
| ssPv4(skf1(skf1(X0)))
| ~ ssPv1(skf1(X0))
| ssPv1(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f2774]) ).
fof(f2776,plain,
! [X0] :
( ~ ssPv2(X0)
| ~ ssPv3(X0)
| ssPv4(skf1(skf1(X0)))
| ~ ssPv1(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2775,f2773]) ).
fof(f2787,plain,
! [X0] :
( ~ ssPv2(X0)
| ~ ssPv3(X0)
| ssPv4(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ssPv4(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f2760,f2169]) ).
fof(f2788,plain,
! [X0] :
( ~ ssPv2(X0)
| ~ ssPv3(X0)
| ssPv4(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0))
| ssPv1(skf1(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f2787]) ).
fof(f2789,plain,
! [X0] :
( ~ ssPv2(X0)
| ~ ssPv3(X0)
| ssPv4(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2788,f2776]) ).
fof(f2850,plain,
! [X0] :
( ~ ssPv2(X0)
| ~ ssPv3(X0)
| ~ ssPv1(skf1(X0))
| ssPv4(skf1(X0))
| ~ ssPv1(skf1(X0))
| ssPv1(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f2776,f2596]) ).
fof(f2851,plain,
! [X0] :
( ~ ssPv2(X0)
| ~ ssPv3(X0)
| ~ ssPv1(skf1(X0))
| ssPv4(skf1(X0))
| ssPv1(skf1(skf1(X0))) ),
inference(duplicate_literals_removal,[status(esa)],[f2850]) ).
fof(f2852,plain,
! [X0] :
( ~ ssPv3(X0)
| ~ ssPv1(skf1(X0))
| ssPv4(skf1(X0))
| ssPv1(skf1(skf1(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[f2851,f1954]) ).
fof(f2885,plain,
! [X0] :
( ~ ssPv2(X0)
| ~ ssPv3(X0)
| ~ ssPv3(skf1(X0))
| ~ ssPv3(X0)
| ssPv4(skf1(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f2789,f221]) ).
fof(f2886,plain,
! [X0] :
( ~ ssPv2(X0)
| ~ ssPv3(X0)
| ~ ssPv3(skf1(X0))
| ssPv4(skf1(X0))
| ssPv1(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f2885]) ).
fof(f2887,plain,
! [X0] :
( ~ ssPv3(X0)
| ~ ssPv3(skf1(X0))
| ssPv4(skf1(X0))
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2886,f2229]) ).
fof(f2910,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv4(skf1(skf1(X0)))
| ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f2887,f2261]) ).
fof(f2911,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv4(skf1(skf1(X0)))
| ssPv1(skf1(X0))
| ssPv1(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f2910]) ).
fof(f2978,plain,
! [X0] :
( ~ ssPv3(X0)
| ~ ssPv1(skf1(X0))
| ssPv4(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv2(X0)
| ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f2852,f457]) ).
fof(f2979,plain,
! [X0] :
( ~ ssPv3(X0)
| ~ ssPv1(skf1(X0))
| ssPv4(skf1(X0))
| ~ ssPv2(X0)
| ssPv3(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2978,f2169]) ).
fof(f2998,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv1(skf1(skf1(X0)))
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f2911,f2546]) ).
fof(f2999,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ssPv1(skf1(skf1(X0)))
| ssPv3(X0)
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2998,f2552]) ).
fof(f3071,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv4(skf1(X0))
| ~ ssPv2(X0)
| ssPv3(skf1(X0))
| ssPv4(X0)
| ~ ssPv1(X0)
| ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f2979,f2638]) ).
fof(f3072,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv4(skf1(X0))
| ~ ssPv2(X0)
| ssPv3(skf1(X0))
| ssPv4(X0)
| ~ ssPv1(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f3071]) ).
fof(f3073,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv4(skf1(X0))
| ssPv3(skf1(X0))
| ssPv4(X0)
| ~ ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3072,f1886]) ).
fof(f3151,plain,
! [X0] :
( ~ ssPv3(skf1(skf1(X0)))
| ~ ssPv1(X0)
| ssPv4(skf1(skf1(X0)))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f2694,f52]) ).
fof(f3157,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv4(skf1(skf1(X0)))
| ssPv2(X0)
| ssPv4(X0)
| ~ ssPv1(X0)
| ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f3151,f2676]) ).
fof(f3158,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv4(skf1(skf1(X0)))
| ssPv2(X0)
| ssPv4(X0)
| ssPv2(skf1(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f3157]) ).
fof(f3159,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv2(X0)
| ssPv4(X0)
| ssPv2(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f3158,f155]) ).
fof(f3160,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv4(skf1(skf1(X0)))
| ssPv2(X0)
| ssPv4(X0)
| ~ ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f3151,f1569]) ).
fof(f3161,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv4(skf1(skf1(X0)))
| ssPv2(X0)
| ssPv4(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f3160]) ).
fof(f3162,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv2(X0)
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3161,f155]) ).
fof(f3163,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv4(skf1(skf1(X0)))
| ssPv2(X0)
| ~ ssPv4(skf1(X0))
| ~ ssPv3(X0)
| ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f3151,f740]) ).
fof(f3164,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ssPv2(X0)
| ~ ssPv4(skf1(X0))
| ~ ssPv3(X0)
| ssPv3(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f3163,f882]) ).
fof(f3177,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv1(X0)
| ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f2402,f3159]) ).
fof(f3178,plain,
! [X0] :
( ssPv4(X0)
| ssPv2(skf1(X0))
| ssPv3(X0)
| ~ ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1712,f3159]) ).
fof(f3190,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv3(skf1(X0))
| ~ ssPv1(skf1(X0))
| ~ ssPv4(X0)
| ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1718,f3162]) ).
fof(f3217,plain,
! [X0] :
( ssPv2(skf1(skf1(X0)))
| ssPv4(skf1(skf1(X0)))
| ~ ssPv2(X0)
| ~ ssPv3(X0)
| ssPv4(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f3162,f2760]) ).
fof(f3218,plain,
! [X0] :
( ssPv2(skf1(skf1(X0)))
| ssPv4(skf1(skf1(X0)))
| ~ ssPv2(X0)
| ~ ssPv3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f3217]) ).
fof(f3410,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(skf1(X2))
| ssPv1(X0)
| ssPv1(X2) ),
inference(factoring,[status(esa)],[f648]) ).
fof(f3414,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv4(X1)
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssPv4(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f652,f52]) ).
fof(f3445,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ~ ssPv2(X0)
| ~ ssPv3(X0)
| ~ ssPv2(X0)
| ~ ssPv4(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f3218,f163]) ).
fof(f3446,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ~ ssPv2(X0)
| ~ ssPv3(X0)
| ~ ssPv4(X0)
| ssPv1(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f3445]) ).
fof(f3447,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ~ ssPv2(X0)
| ~ ssPv3(X0)
| ~ ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3446,f2773]) ).
fof(f3464,plain,
! [X0] :
( ~ ssPv2(X0)
| ~ ssPv3(X0)
| ~ ssPv4(X0)
| ~ ssPv3(X0)
| ssPv4(skf1(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f3447,f221]) ).
fof(f3465,plain,
! [X0] :
( ~ ssPv2(X0)
| ~ ssPv3(X0)
| ~ ssPv4(X0)
| ssPv4(skf1(X0))
| ssPv1(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f3464]) ).
fof(f3580,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ssPv3(skf1(skf1(X0)))
| ~ ssPv4(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssPv2(X0)
| ~ ssPv3(X0)
| ssPv4(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f3190,f2760]) ).
fof(f3581,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ssPv3(skf1(skf1(X0)))
| ~ ssPv4(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssPv2(X0)
| ~ ssPv3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f3580]) ).
fof(f3582,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ssPv3(skf1(skf1(X0)))
| ~ ssPv4(skf1(X0))
| ~ ssPv2(X0)
| ~ ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3581,f2776]) ).
fof(f3586,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ssPv3(skf1(skf1(X0)))
| ~ ssPv4(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssPv3(X0)
| ssPv4(skf1(skf1(X0)))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f3190,f1858]) ).
fof(f3587,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ssPv3(skf1(skf1(X0)))
| ~ ssPv4(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssPv3(X0)
| ssPv4(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f3586]) ).
fof(f3588,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ssPv3(skf1(skf1(X0)))
| ~ ssPv4(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3587,f280]) ).
fof(f3810,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv4(X1)
| ~ ssPv4(X0)
| ssPv1(X0)
| ~ ssPv3(skf1(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f3414,f2261]) ).
fof(f3811,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv4(X1)
| ~ ssPv4(X0)
| ssPv1(X0)
| ~ ssPv3(skf1(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f3810]) ).
fof(f3814,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv4(X1)
| ~ ssPv4(X0)
| ssPv1(X0)
| ~ ssPv4(skf1(X0))
| ~ ssPv3(X0)
| ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f3414,f740]) ).
fof(f3815,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv4(X0)
| ssPv1(X0)
| ~ ssPv4(skf1(X0))
| ~ ssPv3(X0)
| ssPv3(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f3814,f247]) ).
fof(f3823,plain,
! [X0] :
( ~ ssPv4(skf1(skf1(X0)))
| ~ ssPv4(X0)
| ssPv1(X0)
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f3811,f52]) ).
fof(f3824,plain,
! [X0] :
( ~ ssPv4(X0)
| ssPv1(X0)
| ~ ssPv3(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f3823,f2420]) ).
fof(f3825,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv4(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f266,f3824]) ).
fof(f3828,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv2(skf1(skf1(X0)))
| ~ ssPv1(skf1(X0))
| ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f2364,f3824]) ).
fof(f3831,plain,
! [X0] :
( ssPv4(skf1(X0))
| ~ ssPv1(skf1(X0))
| ~ ssPv4(X0)
| ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f3190,f3824]) ).
fof(f3833,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ~ ssPv4(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f3588,f3824]) ).
fof(f3835,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv4(X0)
| ssPv1(X0)
| ~ ssPv4(skf1(X0))
| ~ ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f3815,f3824]) ).
fof(f3850,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f3824,f2261]) ).
fof(f3853,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssPv4(skf1(X0))
| ~ ssPv3(X0)
| ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f3824,f740]) ).
fof(f3854,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssPv3(X0)
| ssPv3(skf1(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f3853]) ).
fof(f3872,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv4(skf1(skf1(X0)))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssPv2(X0)
| ~ ssPv3(X0)
| ssPv4(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f3825,f2760]) ).
fof(f3873,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv4(skf1(skf1(X0)))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssPv2(X0)
| ~ ssPv3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f3872]) ).
fof(f3874,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssPv2(X0)
| ~ ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3873,f2776]) ).
fof(f3885,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ~ ssPv4(skf1(X0))
| ~ ssPv2(X0)
| ~ ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f3582,f3874]) ).
fof(f3889,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ~ ssPv4(skf1(X0))
| ~ ssPv3(X0)
| ssPv3(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f3164,f3885]) ).
fof(f3894,plain,
! [X0] :
( ~ ssPv4(skf1(skf1(X0)))
| ssPv1(skf1(skf1(X0)))
| ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f3850,f2261]) ).
fof(f3895,plain,
! [X0] :
( ssPv1(skf1(skf1(X0)))
| ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0))
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3894,f2911]) ).
fof(f4139,plain,
! [X0] :
( ~ ssPv4(X0)
| ssPv1(X0)
| ~ ssPv4(skf1(X0))
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f3835,f52]) ).
fof(f4141,plain,
! [X0] :
( ~ ssPv2(X0)
| ~ ssPv3(X0)
| ~ ssPv4(X0)
| ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f3465,f4139]) ).
fof(f4150,plain,
! [X0] :
( ~ ssPv2(skf1(skf1(X0)))
| ~ ssPv4(skf1(skf1(X0)))
| ssPv1(skf1(skf1(X0)))
| ~ ssPv4(skf1(X0))
| ~ ssPv3(X0)
| ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f4141,f740]) ).
fof(f4151,plain,
! [X0] :
( ~ ssPv2(skf1(skf1(X0)))
| ssPv1(skf1(skf1(X0)))
| ~ ssPv4(skf1(X0))
| ~ ssPv3(X0)
| ssPv3(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f4150,f3889]) ).
fof(f4162,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0))
| ~ ssPv4(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f4139,f3833]) ).
fof(f4163,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0))
| ~ ssPv3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f4162]) ).
fof(f4164,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f4163,f3854]) ).
fof(f4199,plain,
! [X0] :
( ssPv1(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0))
| ~ ssPv2(X0)
| ~ ssPv3(X0)
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f4164,f2789]) ).
fof(f4200,plain,
! [X0] :
( ssPv1(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0))
| ~ ssPv2(X0)
| ~ ssPv3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f4199]) ).
fof(f4207,plain,
! [X0] :
( ssPv1(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0))
| ssPv4(X0)
| ~ ssPv3(skf1(X0))
| ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f4164,f1996]) ).
fof(f4208,plain,
! [X0] :
( ssPv1(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0))
| ssPv4(X0)
| ssPv2(skf1(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f4207]) ).
fof(f4212,plain,
! [X0] :
( ssPv1(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0))
| ~ ssPv3(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f4164,f437]) ).
fof(f4213,plain,
! [X0] :
( ssPv1(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f4212]) ).
fof(f4216,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv4(X0)
| ssPv4(X1)
| ssPv3(skf1(skf1(X0)))
| ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f697,f52]) ).
fof(f4232,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ~ ssPv2(X0)
| ~ ssPv3(X0)
| ~ ssPv4(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[f4200,f469]) ).
fof(f4233,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ~ ssPv2(X0)
| ~ ssPv3(X0)
| ~ ssPv4(skf1(X0))
| ~ ssPv1(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f4232]) ).
fof(f4234,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ~ ssPv2(X0)
| ~ ssPv3(X0)
| ~ ssPv1(skf1(X0))
| ~ ssPv3(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f4200,f403]) ).
fof(f4235,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ~ ssPv2(X0)
| ~ ssPv3(X0)
| ~ ssPv1(skf1(X0))
| ssPv1(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f4234]) ).
fof(f4236,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ~ ssPv3(X0)
| ~ ssPv1(skf1(X0))
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f4235,f2229]) ).
fof(f4270,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(skf1(X2),X0)
| ~ ssPv1(skf1(X2))
| ~ ssPv2(skf1(X2))
| ~ ssPv3(skf1(X2))
| ~ ssPv3(X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f589,f4236]) ).
fof(f4293,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv3(X0)
| ~ ssPv1(skf1(X0))
| ~ ssPv3(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f4213,f461]) ).
fof(f4294,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv3(X0)
| ~ ssPv1(skf1(X0))
| ssPv2(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f4293]) ).
fof(f4295,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ~ ssPv3(X0)
| ~ ssPv1(skf1(X0))
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f4294,f4236]) ).
fof(f4302,plain,
! [X0,X1,X2] :
( ~ ssPv3(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv3(X0)
| ~ ssRr(X1,X2)
| ~ ssPv1(X2)
| ~ ssRr(skf1(X0),X1)
| ssPv1(X1)
| ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f4213,f3410]) ).
fof(f4303,plain,
! [X0,X1,X2] :
( ~ ssPv3(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv3(X0)
| ~ ssRr(X1,X2)
| ~ ssPv1(X2)
| ~ ssRr(skf1(X0),X1)
| ssPv1(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f4302,f362]) ).
fof(f4321,plain,
! [X0,X1,X2] :
( ~ ssPv3(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv3(X0)
| ~ ssRr(X1,X2)
| ~ ssPv1(X2)
| ~ ssRr(skf1(X0),X1)
| ~ ssPv3(skf1(X0))
| ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f4213,f377]) ).
fof(f4322,plain,
! [X0,X1,X2] :
( ~ ssPv3(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv3(X0)
| ~ ssRr(X1,X2)
| ~ ssPv1(X2)
| ~ ssRr(skf1(X0),X1)
| ssPv2(skf1(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f4321]) ).
fof(f4329,plain,
! [X0] :
( ~ ssPv3(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv3(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f4295,f4213]) ).
fof(f4330,plain,
! [X0] :
( ~ ssPv3(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f4329]) ).
fof(f4624,plain,
! [X0] :
( ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0))
| ssPv1(X0)
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0))
| ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f3895,f4236]) ).
fof(f4625,plain,
! [X0] :
( ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0))
| ssPv1(X0)
| ~ ssPv3(skf1(skf1(X0))) ),
inference(duplicate_literals_removal,[status(esa)],[f4624]) ).
fof(f4626,plain,
! [X0] :
( ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0))
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f4625,f2261]) ).
fof(f4662,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv2(skf1(skf1(X0)))
| ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f3828,f4626]) ).
fof(f4663,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ~ ssPv3(X0)
| ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f4236,f4626]) ).
fof(f4664,plain,
! [X0] :
( ssPv1(X0)
| ssPv4(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f3825,f4626]) ).
fof(f4667,plain,
! [X0,X1,X2] :
( ~ ssPv3(skf1(X0))
| ~ ssPv3(X0)
| ~ ssRr(X1,X2)
| ~ ssPv1(X2)
| ~ ssRr(skf1(X0),X1)
| ssPv1(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f4303,f4626]) ).
fof(f4673,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ~ ssPv2(X0)
| ~ ssPv3(X0)
| ~ ssPv4(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f4233,f4663]) ).
fof(f4674,plain,
! [X0] :
( ssPv1(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0))
| ~ ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f4213,f4663]) ).
fof(f4677,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ~ ssPv3(X0)
| ssPv4(skf1(skf1(X0))) ),
inference(backward_subsumption_resolution,[status(thm)],[f437,f4663]) ).
fof(f4680,plain,
! [X0] :
( ~ ssPv3(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f4330,f4663]) ).
fof(f4681,plain,
! [X0,X1,X2] :
( ~ ssPv3(skf1(X0))
| ~ ssPv3(X0)
| ~ ssRr(X1,X2)
| ~ ssPv1(X2)
| ~ ssRr(skf1(X0),X1)
| ssPv2(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f4322,f4663]) ).
fof(f4690,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(skf1(X2),X0)
| ~ ssPv2(skf1(X2))
| ~ ssPv3(skf1(X2))
| ~ ssPv3(X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f4270,f4667]) ).
fof(f4691,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(skf1(X2),X0)
| ~ ssPv3(skf1(X2))
| ~ ssPv3(X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f4690,f4681]) ).
fof(f4692,plain,
! [X0] :
( ~ ssPv2(skf1(skf1(X0)))
| ssPv1(skf1(skf1(X0)))
| ~ ssPv4(skf1(X0))
| ~ ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f4151,f4674]) ).
fof(f4693,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ssPv1(skf1(skf1(X0)))
| ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f2999,f4674]) ).
fof(f4696,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ~ ssPv4(skf1(X0))
| ~ ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f3889,f4677]) ).
fof(f4749,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv4(skf1(skf1(X0)))
| ssPv4(skf1(skf1(X0)))
| ssPv1(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f4664,f1339]) ).
fof(f4750,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv4(skf1(skf1(X0)))
| ssPv1(X0)
| ssPv3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f4749]) ).
fof(f4912,plain,
! [X0] :
( ~ ssPv2(skf1(X0))
| ~ ssPv3(skf1(X0))
| ~ ssPv4(skf1(skf1(X0)))
| ~ ssPv1(X0)
| ssPv4(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f4673,f398]) ).
fof(f4913,plain,
! [X0] :
( ~ ssPv2(skf1(X0))
| ~ ssPv3(skf1(X0))
| ~ ssPv1(X0)
| ssPv4(X0)
| ~ ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f4912,f4677]) ).
fof(f5024,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv3(X0)
| ~ ssPv4(X0)
| ssPv3(skf1(skf1(X0)))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f4750,f2755]) ).
fof(f5025,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv3(X0)
| ~ ssPv4(X0)
| ssPv3(skf1(skf1(X0))) ),
inference(duplicate_literals_removal,[status(esa)],[f5024]) ).
fof(f5026,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv3(X0)
| ssPv1(skf1(skf1(X0)))
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f4750,f2546]) ).
fof(f5027,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv3(X0)
| ssPv1(skf1(skf1(X0)))
| ssPv4(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f5026]) ).
fof(f5028,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv3(X0)
| ssPv1(skf1(skf1(X0)))
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f5027,f2552]) ).
fof(f5033,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv3(X0)
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f4750,f155]) ).
fof(f5034,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv3(X0)
| ssPv2(X0)
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f5033,f3162]) ).
fof(f5100,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv3(X0)
| ssPv4(X0)
| ssPv4(skf1(skf1(X0)))
| ~ ssPv4(skf1(X0))
| ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f5028,f3831]) ).
fof(f5101,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv3(X0)
| ssPv4(X0)
| ssPv4(skf1(skf1(X0)))
| ~ ssPv4(skf1(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f5100]) ).
fof(f5102,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ssPv4(skf1(skf1(X0)))
| ~ ssPv4(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f5101,f4696]) ).
fof(f5179,plain,
! [X0] :
( ~ ssPv2(skf1(X0))
| ~ ssPv1(X0)
| ssPv4(X0)
| ~ ssPv3(X0)
| ~ ssPv3(X0)
| ssPv4(skf1(X0))
| ssPv4(X0)
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[f4913,f3073]) ).
fof(f5180,plain,
! [X0] :
( ~ ssPv2(skf1(X0))
| ~ ssPv1(X0)
| ssPv4(X0)
| ~ ssPv3(X0)
| ssPv4(skf1(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f5179]) ).
fof(f5181,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv4(X0)
| ~ ssPv3(X0)
| ssPv4(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f5180,f3177]) ).
fof(f5182,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ssPv4(skf1(X0))
| ~ ssPv3(skf1(X0))
| ~ ssPv4(X0)
| ssPv3(skf1(skf1(X0)))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f5181,f2755]) ).
fof(f5240,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv4(X0)
| ssPv2(skf1(X0))
| ~ ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f4208,f256]) ).
fof(f5241,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv4(X0)
| ssPv2(skf1(X0))
| ~ ssPv1(skf1(X0))
| ssPv1(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f5240]) ).
fof(f5242,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv1(skf1(X0))
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f5241,f3824]) ).
fof(f5406,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv3(X0)
| ssPv4(X0)
| ~ ssPv1(X0)
| ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f4680,f2676]) ).
fof(f5407,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv3(X0)
| ssPv4(X0)
| ~ ssPv1(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f5406]) ).
fof(f5408,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ssPv4(X0)
| ~ ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f5407,f3178]) ).
fof(f5417,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ~ ssPv1(X0)
| ssPv4(X0)
| ~ ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f4913,f5408]) ).
fof(f5418,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv4(X0)
| ~ ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f5417,f4663]) ).
fof(f5419,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ssPv4(skf1(X0))
| ~ ssPv3(skf1(X0))
| ~ ssPv4(X0)
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f5182,f5418]) ).
fof(f5442,plain,
! [X0] :
( ssPv4(skf1(X0))
| ~ ssPv3(skf1(X0))
| ~ ssPv1(skf1(X0))
| ~ ssPv1(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f5418,f278]) ).
fof(f5443,plain,
! [X0] :
( ssPv4(skf1(X0))
| ~ ssPv3(skf1(X0))
| ~ ssPv1(skf1(X0))
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f5442,f4664]) ).
fof(f5444,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ssPv4(skf1(X0))
| ~ ssPv3(skf1(X0))
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f5419,f5443]) ).
fof(f5669,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssPv4(skf1(X0))
| ~ ssPv4(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f5102,f4139]) ).
fof(f5670,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssPv4(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f5669]) ).
fof(f5968,plain,
! [X0,X1] :
( ~ ssRr(skf1(skf1(X0)),X1)
| ~ ssPv1(X1)
| ~ ssPv3(skf1(X0))
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f4691,f52]) ).
fof(f5969,plain,
! [X0] :
( ~ ssPv1(skf1(skf1(skf1(X0))))
| ~ ssPv3(skf1(X0))
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f5968,f52]) ).
fof(f5971,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ~ ssPv3(X0)
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f5969,f4674]) ).
fof(f5972,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ~ ssPv3(X0)
| ~ ssPv3(skf1(skf1(X0))) ),
inference(duplicate_literals_removal,[status(esa)],[f5971]) ).
fof(f5995,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ~ ssPv3(X0)
| ~ ssPv2(skf1(X0))
| ~ ssPv2(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[f5972,f433]) ).
fof(f5996,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ~ ssPv3(X0)
| ~ ssPv2(skf1(X0))
| ~ ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f5995,f5418]) ).
fof(f6074,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssPv2(skf1(X0))
| ~ ssPv3(skf1(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f5996,f2261]) ).
fof(f6075,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ~ ssPv2(skf1(skf1(X0)))
| ~ ssPv2(skf1(X0))
| ssPv1(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f6074]) ).
fof(f6076,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ~ ssPv2(skf1(X0))
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f6075,f4662]) ).
fof(f6088,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ~ ssPv1(skf1(X0))
| ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f5242,f6076]) ).
fof(f6089,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f6088,f4626]) ).
fof(f6097,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv3(X0)
| ~ ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f5025,f6089]) ).
fof(f6100,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv4(X0)
| ssPv4(X1)
| ssPv1(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f4216,f6089]) ).
fof(f6170,plain,
! [X0] :
( ssPv1(skf1(X0))
| ~ ssPv2(skf1(X0))
| ~ ssPv2(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[f6089,f433]) ).
fof(f6215,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(X0)
| ~ ssPv4(X0)
| ssPv4(skf1(X0))
| ~ ssPv4(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f6097,f3831]) ).
fof(f6216,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(X0)
| ~ ssPv4(X0)
| ssPv4(skf1(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f6215]) ).
fof(f6268,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv3(skf1(X0))
| ~ ssPv4(skf1(X0))
| ~ ssPv4(X0)
| ssPv3(skf1(skf1(X0)))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f6216,f2755]) ).
fof(f6269,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv3(skf1(X0))
| ~ ssPv4(skf1(X0))
| ~ ssPv4(X0)
| ssPv3(skf1(skf1(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[f6268,f4164]) ).
fof(f6406,plain,
! [X0] :
( ~ ssPv4(X0)
| ssPv4(skf1(skf1(X0)))
| ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f6100,f52]) ).
fof(f6416,plain,
! [X0] :
( ~ ssPv4(X0)
| ssPv1(skf1(X0))
| ~ ssPv4(X0)
| ssPv3(skf1(skf1(X0)))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f6406,f2755]) ).
fof(f6417,plain,
! [X0] :
( ~ ssPv4(X0)
| ssPv1(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ssPv3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f6416]) ).
fof(f6418,plain,
! [X0] :
( ~ ssPv4(X0)
| ssPv1(skf1(X0))
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f6417,f6089]) ).
fof(f6421,plain,
! [X0] :
( ~ ssPv4(X0)
| ssPv1(skf1(X0))
| ~ ssPv3(X0)
| ssPv4(skf1(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f6406,f221]) ).
fof(f6422,plain,
! [X0] :
( ~ ssPv4(X0)
| ~ ssPv3(X0)
| ssPv4(skf1(X0))
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f6421,f3831]) ).
fof(f6432,plain,
! [X0] :
( ~ ssPv4(X0)
| ssPv1(skf1(X0))
| ssPv1(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f6406,f4164]) ).
fof(f6433,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv1(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f6432,f4693]) ).
fof(f6434,plain,
! [X0] :
( ~ ssPv4(X0)
| ssPv1(skf1(X0))
| ~ ssPv4(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f6406,f4139]) ).
fof(f6435,plain,
! [X0] :
( ~ ssPv4(X0)
| ssPv1(skf1(X0))
| ~ ssPv4(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f6434]) ).
fof(f6436,plain,
! [X0] :
( ssPv1(skf1(X0))
| ~ ssPv4(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f6435,f5670]) ).
fof(f6455,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv3(X0)
| ssPv2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f5034,f6418]) ).
fof(f6464,plain,
! [X0] :
( ssPv1(X0)
| ~ ssPv4(X0)
| ssPv4(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f6216,f6422]) ).
fof(f6465,plain,
! [X0] :
( ~ ssPv4(X0)
| ssPv1(X0)
| ~ ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f4139,f6422]) ).
fof(f6468,plain,
! [X0] :
( ssPv1(skf1(X0))
| ~ ssPv4(skf1(X0))
| ~ ssPv4(X0)
| ssPv3(skf1(skf1(X0))) ),
inference(backward_subsumption_resolution,[status(thm)],[f6269,f6436]) ).
fof(f6469,plain,
! [X0] :
( ssPv1(skf1(X0))
| ~ ssPv4(skf1(X0))
| ~ ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f6468,f6089]) ).
fof(f6504,plain,
! [X0] :
( ~ ssPv4(skf1(skf1(X0)))
| ssPv3(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0))
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f6418,f5969]) ).
fof(f6505,plain,
! [X0] :
( ssPv3(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0))
| ~ ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f6504,f4677]) ).
fof(f6514,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ssPv3(skf1(X0))
| ~ ssPv1(skf1(X0))
| ~ ssPv3(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f6418,f461]) ).
fof(f6515,plain,
! [X0] :
( ssPv3(skf1(X0))
| ~ ssPv1(skf1(X0))
| ~ ssPv3(X0)
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f6514,f1954]) ).
fof(f6518,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ssPv3(skf1(X0))
| ~ ssPv1(skf1(X0))
| ~ ssPv3(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f6418,f403]) ).
fof(f6519,plain,
! [X0] :
( ssPv3(skf1(X0))
| ~ ssPv1(skf1(X0))
| ~ ssPv3(X0)
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f6518,f2169]) ).
fof(f6522,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ssPv3(skf1(X0))
| ~ ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f6418,f256]) ).
fof(f6523,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ~ ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f6522,f6089]) ).
fof(f6549,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ~ ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f5972,f6505]) ).
fof(f6550,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ~ ssPv3(X0)
| ssPv3(skf1(skf1(X0))) ),
inference(backward_subsumption_resolution,[status(thm)],[f740,f6505]) ).
fof(f6554,plain,
! [X0] :
( ~ ssPv3(X0)
| ~ ssPv1(skf1(X0))
| ssPv2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f4295,f6515]) ).
fof(f6571,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ~ ssPv3(X0)
| ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f6519,f6549]) ).
fof(f6577,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ssPv4(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f5444,f6549]) ).
fof(f6587,plain,
! [X0] :
( ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f6433,f6571]) ).
fof(f6597,plain,
! [X0] :
( ssPv4(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f6577,f6587]) ).
fof(f6606,plain,
! [X0] :
( ssPv4(X0)
| ~ ssPv1(X0)
| ssPv1(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f2638,f6587]) ).
fof(f6619,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ssPv1(X0)
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1339,f6597]) ).
fof(f6634,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv3(skf1(skf1(X0)))
| ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f278,f6606]) ).
fof(f6681,plain,
! [X0] :
( ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f6455,f158]) ).
fof(f6682,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f6681,f6089]) ).
fof(f6793,plain,
! [X0] :
( ssPv4(skf1(X0))
| ~ ssPv1(skf1(X0))
| ~ ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f6606,f256]) ).
fof(f6794,plain,
! [X0] :
( ssPv4(skf1(X0))
| ~ ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv4(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f6793]) ).
fof(f6795,plain,
! [X0] :
( ssPv4(skf1(X0))
| ~ ssPv1(skf1(X0))
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f6794,f6464]) ).
fof(f6811,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f6523,f6795]) ).
fof(f6828,plain,
! [X0] :
( ssPv1(X0)
| ssPv4(X0)
| ssPv3(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f6811,f6455]) ).
fof(f6829,plain,
! [X0] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f6828,f3162]) ).
fof(f6843,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv2(skf1(X0))
| ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f6829,f6597]) ).
fof(f6844,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv2(skf1(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f6843]) ).
fof(f6852,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ssPv3(skf1(skf1(X0)))
| ~ ssPv2(X0)
| ~ ssPv4(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f6829,f163]) ).
fof(f6853,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ~ ssPv2(X0)
| ~ ssPv4(X0)
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f6852,f6597]) ).
fof(f6864,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv1(skf1(X0))
| ~ ssPv2(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[f6844,f6170]) ).
fof(f6865,plain,
! [X0] :
( ssPv1(skf1(X0))
| ~ ssPv2(X0)
| ~ ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f6864,f6469]) ).
fof(f6895,plain,
! [X0] :
( ~ ssPv2(skf1(X0))
| ~ ssPv4(skf1(X0))
| ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f6865,f158]) ).
fof(f6896,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f6895,f6682]) ).
fof(f6914,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ssPv1(X0)
| ssPv2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f882,f6896]) ).
fof(f6963,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv4(X0)
| ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f6914,f6406]) ).
fof(f6964,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv4(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f6963]) ).
fof(f6980,plain,
! [X0] :
( ssPv1(X0)
| ssPv2(X0)
| ssPv1(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[f6914,f6464]) ).
fof(f6981,plain,
! [X0] :
( ssPv1(X0)
| ssPv2(X0)
| ~ ssPv4(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f6980]) ).
fof(f6982,plain,
! [X0] :
( ssPv1(skf1(skf1(X0)))
| ~ ssPv4(skf1(X0))
| ~ ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f4692,f6964]) ).
fof(f6990,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ~ ssPv4(X0)
| ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f6853,f6981]) ).
fof(f7083,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(X0)
| ~ ssPv4(X0)
| ssPv3(skf1(skf1(X0)))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f6619,f2755]) ).
fof(f7084,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(X0)
| ~ ssPv4(X0)
| ssPv3(skf1(skf1(X0))) ),
inference(duplicate_literals_removal,[status(esa)],[f7083]) ).
fof(f7085,plain,
! [X0] :
( ssPv1(X0)
| ~ ssPv4(X0)
| ssPv3(skf1(skf1(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[f7084,f6465]) ).
fof(f7086,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(X0)
| ssPv1(skf1(skf1(X0)))
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f6619,f2546]) ).
fof(f7087,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(X0)
| ssPv1(skf1(skf1(X0)))
| ssPv4(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f7086]) ).
fof(f7103,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv4(X1)
| ~ ssPv4(X0)
| ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f3414,f7085]) ).
fof(f7117,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv4(X0)
| ssPv1(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f6634,f6587]) ).
fof(f7118,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv4(X0)
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f6634,f6549]) ).
fof(f7119,plain,
! [X0] :
( ssPv4(X0)
| ~ ssPv3(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f7118,f6089]) ).
fof(f7124,plain,
! [X0] :
( ssPv3(X0)
| ssPv1(skf1(skf1(X0)))
| ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f7087,f7117]) ).
fof(f7128,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ssPv1(skf1(skf1(X0)))
| ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1858,f7124]) ).
fof(f7132,plain,
! [X0] :
( ssPv4(skf1(X0))
| ~ ssPv1(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f7119,f6634]) ).
fof(f7324,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv4(X0)
| ~ ssPv4(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[f7117,f469]) ).
fof(f7325,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv4(X0)
| ~ ssPv4(skf1(X0))
| ~ ssPv2(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f7324]) ).
fof(f7326,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv4(X0)
| ~ ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f7325,f7132]) ).
fof(f7357,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f3162,f7326]) ).
fof(f7359,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f6811,f7357]) ).
fof(f7364,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f7128,f7357]) ).
fof(f7381,plain,
! [X0] :
( ~ ssPv1(skf1(skf1(X0)))
| ~ ssPv1(X0)
| ~ ssPv2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f469,f7359]) ).
fof(f7388,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f6990,f7364]) ).
fof(f7409,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv4(skf1(X0))
| ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f221,f7388]) ).
fof(f7430,plain,
! [X0] :
( ssPv4(skf1(X0))
| ~ ssPv4(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f7357,f6418]) ).
fof(f7466,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv1(X0)
| ssPv1(skf1(X0))
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f7409,f4164]) ).
fof(f7467,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv1(X0)
| ssPv1(skf1(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f7466]) ).
fof(f7468,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f7467,f6571]) ).
fof(f7520,plain,
! [X0] :
( ssPv3(X0)
| ssPv4(X0)
| ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f7124,f7359]) ).
fof(f7521,plain,
! [X0] :
( ssPv3(X0)
| ssPv4(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f7520,f7430]) ).
fof(f7628,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ~ ssPv3(X0)
| ~ ssPv1(X0)
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[f6982,f7381]) ).
fof(f7629,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ~ ssPv3(X0)
| ~ ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f7628,f7468]) ).
fof(f7675,plain,
! [X0] :
( ~ ssPv4(skf1(skf1(X0)))
| ~ ssPv4(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f7103,f52]) ).
fof(f7676,plain,
! [X0] :
( ~ ssPv4(X0)
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f7675,f7388]) ).
fof(f7681,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f7676,f7521]) ).
fof(f7728,plain,
! [X0] :
( ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f7681,f7359]) ).
fof(f7738,plain,
! [X0] : ssPv4(skf1(X0)),
inference(backward_subsumption_resolution,[status(thm)],[f6597,f7728]) ).
fof(f7743,plain,
! [X0] :
( ~ ssPv4(X0)
| ssPv3(skf1(skf1(X0)))
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f2755,f7728]) ).
fof(f7744,plain,
! [X0] :
( ssPv3(skf1(skf1(X0)))
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f7743,f7728]) ).
fof(f7760,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv3(skf1(skf1(X0))) ),
inference(backward_subsumption_resolution,[status(thm)],[f6550,f7738]) ).
fof(f7761,plain,
! [X0] : ssPv3(skf1(skf1(X0))),
inference(forward_subsumption_resolution,[status(thm)],[f7760,f7744]) ).
fof(f7762,plain,
! [X0] :
( ~ ssPv3(X0)
| ~ ssPv2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f7629,f7738]) ).
fof(f7784,plain,
! [X0] :
( ~ ssPv3(X0)
| ~ ssPv1(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f6554,f7762]) ).
fof(f7846,plain,
! [X0] : ssPv1(skf1(X0)),
inference(resolution,[status(thm)],[f7738,f7676]) ).
fof(f7851,plain,
! [X0] : ~ ssPv3(X0),
inference(backward_subsumption_resolution,[status(thm)],[f7784,f7846]) ).
fof(f7852,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f7761,f7851]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SYN762-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.27 % Computer : n028.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Mon Apr 29 22:24:14 EDT 2024
% 0.07/0.27 % CPUTime :
% 0.07/0.28 % Drodi V3.6.0
% 110.01/14.14 % Refutation found
% 110.01/14.14 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 110.01/14.14 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 110.30/14.16 % Elapsed time: 13.885785 seconds
% 110.30/14.16 % CPU time: 110.470419 seconds
% 110.30/14.16 % Total memory used: 87.467 MB
% 110.30/14.16 % Net memory used: 83.980 MB
%------------------------------------------------------------------------------