TSTP Solution File: SYN759-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN759-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:47:43 EDT 2023
% Result : Timeout 293.65s 37.29s
% Output : None
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [U] : ssRr(U,skf1(U)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssRr(W,U)
| ~ ssRr(W,X)
| ssPv1(V)
| ssPv2(X)
| ssPv2(W)
| ssPv3(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssRr(W,U)
| ~ ssRr(W,X)
| ~ ssPv1(X)
| ssPv1(V)
| ssPv3(W)
| ssPv4(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssRr(W,U)
| ~ ssRr(W,X)
| ~ ssPv3(W)
| ssPv2(V)
| ssPv1(X)
| ssPv2(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssRr(W,U)
| ~ ssRr(W,X)
| ~ ssPv3(X)
| ssPv2(V)
| ssPv2(W)
| ssPv4(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssRr(W,U)
| ~ ssRr(W,X)
| ~ ssPv3(W)
| ssPv3(V)
| ssPv3(X)
| ssPv4(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssRr(W,U)
| ~ ssRr(W,X)
| ~ ssPv4(X)
| ~ ssPv1(W)
| ssPv3(V)
| ssPv2(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssRr(W,U)
| ~ ssRr(W,X)
| ~ ssPv3(X)
| ~ ssPv4(W)
| ssPv4(V)
| ssPv1(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ~ ssRr(W,U)
| ~ ssRr(W,X)
| ~ ssPv1(X)
| ~ ssPv4(W)
| ssPv3(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(W,U)
| ~ ssRr(W,X)
| ~ ssPv2(X)
| ~ ssPv3(W)
| ssPv1(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [U,V,W,X,Y] :
( ~ ssRr(U,V)
| ~ ssRr(W,U)
| ~ ssRr(X,Y)
| ~ ssRr(W,X)
| ~ ssPv1(W)
| ssPv3(V)
| ssPv2(Y)
| ssPv3(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
! [U,V,W,X,Y] :
( ~ ssRr(U,V)
| ~ ssPv1(V)
| ~ ssRr(W,U)
| ~ ssRr(W,X)
| ~ ssRr(W,Y)
| ssPv3(X)
| ssPv2(Y)
| ssPv1(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [U,V,W,X,Y] :
( ~ ssRr(U,V)
| ~ ssRr(W,U)
| ~ ssRr(W,X)
| ~ ssPv2(X)
| ~ ssRr(W,Y)
| ssPv4(V)
| ssPv3(Y)
| ssPv4(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [U,V,W,X,Y] :
( ~ ssRr(U,V)
| ~ ssRr(W,U)
| ~ ssRr(W,X)
| ~ ssPv3(X)
| ~ ssRr(W,Y)
| ssPv2(V)
| ssPv2(Y)
| ssPv4(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [U,V,W,X,Y] :
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(W,U)
| ~ ssRr(X,Y)
| ~ ssRr(W,X)
| ssPv3(Y)
| ssPv1(W)
| ssPv2(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [U,V,W,X,Y] :
( ~ ssRr(U,V)
| ~ ssRr(W,U)
| ~ ssRr(W,X)
| ~ ssPv2(X)
| ~ ssRr(W,Y)
| ~ ssPv4(W)
| ssPv3(V)
| ssPv3(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
! [U,V,W,X,Y] :
( ~ ssRr(U,V)
| ~ ssRr(W,U)
| ~ ssRr(W,X)
| ~ ssPv2(X)
| ~ ssRr(W,Y)
| ~ ssPv3(W)
| ssPv2(V)
| ssPv4(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
! [U,V,W,X,Y] :
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(W,U)
| ~ ssRr(X,Y)
| ~ ssRr(W,X)
| ~ ssPv1(W)
| ssPv1(Y)
| ssPv3(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [U,V,W,X,Y] :
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(W,U)
| ~ ssRr(W,X)
| ~ ssPv3(X)
| ~ ssRr(W,Y)
| ssPv1(Y)
| ssPv1(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,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)
| ssPv2(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [U,V,W,X,Y] :
( ~ ssRr(U,V)
| ~ ssRr(W,U)
| ~ ssRr(X,Y)
| ~ ssRr(W,X)
| ~ ssPv1(W)
| ~ ssPv4(W)
| ssPv3(V)
| ssPv2(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [U,V,W,X,Y] :
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ~ ssRr(W,U)
| ~ ssRr(X,Y)
| ~ ssRr(W,X)
| ~ ssPv2(W)
| ssPv3(Y)
| ssPv1(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
! [U,V,W,X,Y] :
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(W,U)
| ~ ssRr(X,Y)
| ~ ssPv2(Y)
| ~ ssRr(W,X)
| ssPv1(W)
| ssPv3(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
! [U,V,W,X,Y] :
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ~ ssRr(W,U)
| ~ ssRr(X,Y)
| ~ ssRr(W,X)
| ~ ssPv1(W)
| ssPv3(Y)
| ssPv4(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
! [U,V,W,X,Y] :
( ~ ssRr(U,V)
| ~ ssPv1(V)
| ~ ssRr(W,U)
| ~ ssRr(W,X)
| ~ ssPv4(X)
| ~ ssRr(W,Y)
| ~ ssPv3(Y)
| ssPv2(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
! [U,V,W,X,Y] :
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(W,U)
| ~ ssRr(W,X)
| ~ ssPv4(X)
| ~ ssRr(W,Y)
| ~ ssPv3(Y)
| ssPv2(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
! [U,V,W,X,Y] :
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(W,U)
| ~ ssRr(W,X)
| ~ ssPv4(X)
| ~ ssRr(W,Y)
| ~ ssPv3(Y)
| ~ ssPv1(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
! [U,V,W,X,Y,Z] :
( ~ ssRr(U,V)
| ~ ssRr(W,U)
| ~ ssRr(X,Y)
| ~ ssRr(W,X)
| ~ ssRr(W,Z)
| ssPv3(V)
| ssPv2(Y)
| ssPv1(Z)
| ssPv4(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
! [U,V,W,X,Y,Z] :
( ~ ssRr(U,V)
| ~ ssPv1(V)
| ~ ssRr(W,U)
| ~ ssRr(X,Y)
| ~ ssRr(W,X)
| ~ ssRr(W,Z)
| ssPv4(Y)
| ssPv3(Z)
| ssPv1(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
! [U,V,W,X,Y,Z] :
( ~ ssRr(U,V)
| ~ ssRr(W,U)
| ~ ssRr(X,Y)
| ~ ssRr(W,X)
| ~ ssRr(W,Z)
| ~ ssPv2(Z)
| ssPv2(V)
| ssPv1(Y)
| ssPv4(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
! [U,V,W,X,Y,Z] :
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(W,U)
| ~ ssRr(X,Y)
| ~ ssRr(W,X)
| ~ ssRr(W,Z)
| ssPv2(Y)
| ssPv1(Z)
| ssPv4(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
! [U,V,W,X,Y,Z] :
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ~ ssRr(W,U)
| ~ ssRr(X,Y)
| ~ ssPv1(Y)
| ~ ssRr(W,X)
| ~ ssRr(W,Z)
| ssPv4(Z)
| ssPv2(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
! [U,V,W,X,Y,Z] :
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(W,U)
| ~ ssRr(X,Y)
| ~ ssPv2(Y)
| ~ ssRr(W,X)
| ~ ssRr(W,Z)
| ssPv1(Z)
| ssPv4(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
! [U,V,W,X,Y,Z] :
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(W,U)
| ~ ssRr(X,Y)
| ~ ssRr(W,X)
| ~ ssRr(W,Z)
| ~ ssPv1(Z)
| ssPv4(Y)
| ssPv4(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
! [U,V,W,X,Y,Z] :
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(W,U)
| ~ ssRr(X,Y)
| ~ ssPv3(Y)
| ~ ssRr(W,X)
| ~ ssRr(W,Z)
| ssPv4(Z)
| ssPv2(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
! [U,V,W,X,Y,Z] :
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(W,U)
| ~ ssRr(X,Y)
| ~ ssRr(W,X)
| ~ ssRr(W,Z)
| ~ ssPv4(Z)
| ssPv3(Y)
| ssPv1(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
! [U,V,W,X,Y,Z] :
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(W,U)
| ~ ssRr(X,Y)
| ~ ssPv1(Y)
| ~ ssRr(W,X)
| ~ ssRr(W,Z)
| ~ ssPv1(W)
| ssPv3(Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
! [U,V,W,X,Y,Z] :
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(W,U)
| ~ ssRr(X,Y)
| ~ ssRr(W,X)
| ~ ssRr(W,Z)
| ~ ssPv3(Z)
| ~ ssPv2(W)
| ssPv2(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
! [U,V,W,X,Y,Z] :
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(W,U)
| ~ ssRr(X,Y)
| ~ ssPv2(Y)
| ~ ssRr(W,X)
| ~ ssRr(W,Z)
| ~ ssPv1(Z)
| ssPv4(W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,plain,
! [X0] : ssRr(X0,skf1(X0)),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f53,plain,
! [W] :
( ! [X] :
( ! [V] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssRr(W,U) )
| ~ ssRr(W,X)
| ssPv1(V) )
| ssPv2(X) )
| ssPv2(W)
| ssPv3(W) ),
inference(miniscoping,[status(esa)],[f2]) ).
fof(f54,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ssPv1(X1)
| ssPv2(X3)
| ssPv2(X2)
| ssPv3(X2) ),
inference(cnf_transformation,[status(esa)],[f53]) ).
fof(f55,plain,
! [W] :
( ! [V] :
( ! [X] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssRr(W,U) )
| ~ ssRr(W,X)
| ~ ssPv1(X) )
| ssPv1(V) )
| ssPv3(W)
| ssPv4(W) ),
inference(miniscoping,[status(esa)],[f3]) ).
fof(f56,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv1(X3)
| ssPv1(X1)
| ssPv3(X2)
| ssPv4(X2) ),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f57,plain,
! [W] :
( ! [X] :
( ! [V] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssRr(W,U) )
| ~ ssRr(W,X)
| ~ ssPv3(W)
| ssPv2(V) )
| ssPv1(X) )
| ssPv2(W) ),
inference(miniscoping,[status(esa)],[f4]) ).
fof(f58,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv3(X2)
| ssPv2(X1)
| ssPv1(X3)
| ssPv2(X2) ),
inference(cnf_transformation,[status(esa)],[f57]) ).
fof(f59,plain,
! [W] :
( ! [V] :
( ! [X] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssRr(W,U) )
| ~ ssRr(W,X)
| ~ ssPv3(X) )
| ssPv2(V) )
| ssPv2(W)
| ssPv4(W) ),
inference(miniscoping,[status(esa)],[f5]) ).
fof(f60,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv3(X3)
| ssPv2(X1)
| ssPv2(X2)
| ssPv4(X2) ),
inference(cnf_transformation,[status(esa)],[f59]) ).
fof(f61,plain,
! [W] :
( ! [X] :
( ! [V] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssRr(W,U) )
| ~ ssRr(W,X)
| ~ ssPv3(W)
| ssPv3(V) )
| ssPv3(X) )
| ssPv4(W) ),
inference(miniscoping,[status(esa)],[f6]) ).
fof(f62,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv3(X2)
| ssPv3(X1)
| ssPv3(X3)
| ssPv4(X2) ),
inference(cnf_transformation,[status(esa)],[f61]) ).
fof(f63,plain,
! [W] :
( ! [V] :
( ! [X] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssRr(W,U) )
| ~ ssRr(W,X)
| ~ ssPv4(X) )
| ~ ssPv1(W)
| ssPv3(V) )
| ssPv2(W) ),
inference(miniscoping,[status(esa)],[f7]) ).
fof(f64,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv4(X3)
| ~ ssPv1(X2)
| ssPv3(X1)
| ssPv2(X2) ),
inference(cnf_transformation,[status(esa)],[f63]) ).
fof(f65,plain,
! [W] :
( ! [V] :
( ! [X] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssRr(W,U) )
| ~ ssRr(W,X)
| ~ ssPv3(X) )
| ~ ssPv4(W)
| ssPv4(V) )
| ssPv1(W) ),
inference(miniscoping,[status(esa)],[f8]) ).
fof(f66,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv3(X3)
| ~ ssPv4(X2)
| ssPv4(X1)
| ssPv1(X2) ),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f67,plain,
! [W] :
( ! [X] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv2(V) )
| ~ ssRr(W,U) )
| ~ ssRr(W,X)
| ~ ssPv1(X) )
| ~ ssPv4(W)
| ssPv3(W) ),
inference(miniscoping,[status(esa)],[f9]) ).
fof(f68,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv1(X3)
| ~ ssPv4(X2)
| ssPv3(X2) ),
inference(cnf_transformation,[status(esa)],[f67]) ).
fof(f69,plain,
! [W] :
( ! [X] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv4(V) )
| ~ ssRr(W,U) )
| ~ ssRr(W,X)
| ~ ssPv2(X) )
| ~ ssPv3(W)
| ssPv1(W) ),
inference(miniscoping,[status(esa)],[f10]) ).
fof(f70,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv2(X3)
| ~ ssPv3(X2)
| ssPv1(X2) ),
inference(cnf_transformation,[status(esa)],[f69]) ).
fof(f71,plain,
! [W] :
( ! [Y] :
( ! [V] :
( ! [X] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssRr(W,U) )
| ~ ssRr(X,Y)
| ~ ssRr(W,X) )
| ~ ssPv1(W)
| ssPv3(V) )
| ssPv2(Y) )
| ssPv3(W) ),
inference(miniscoping,[status(esa)],[f11]) ).
fof(f72,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssPv1(X2)
| ssPv3(X1)
| ssPv2(X4)
| ssPv3(X2) ),
inference(cnf_transformation,[status(esa)],[f71]) ).
fof(f73,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)],[f12]) ).
fof(f74,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)],[f73]) ).
fof(f75,plain,
! [W] :
( ! [Y] :
( ! [X] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv1(V) )
| ~ ssRr(W,U) )
| ~ ssRr(W,X)
| ~ ssRr(W,Y)
| ssPv3(X) )
| ssPv2(Y) )
| ssPv1(W) ),
inference(miniscoping,[status(esa)],[f13]) ).
fof(f76,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X4)
| ssPv3(X3)
| ssPv2(X4)
| ssPv1(X2) ),
inference(cnf_transformation,[status(esa)],[f75]) ).
fof(f77,plain,
! [W] :
( ! [Y] :
( ! [V] :
( ! [X] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssRr(W,U) )
| ~ ssRr(W,X)
| ~ ssPv2(X) )
| ~ ssRr(W,Y)
| ssPv4(V) )
| ssPv3(Y) )
| ssPv4(W) ),
inference(miniscoping,[status(esa)],[f14]) ).
fof(f78,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv2(X3)
| ~ ssRr(X2,X4)
| ssPv4(X1)
| ssPv3(X4)
| ssPv4(X2) ),
inference(cnf_transformation,[status(esa)],[f77]) ).
fof(f79,plain,
! [W] :
( ! [Y] :
( ! [V] :
( ! [X] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssRr(W,U) )
| ~ ssRr(W,X)
| ~ ssPv3(X) )
| ~ ssRr(W,Y)
| ssPv2(V) )
| ssPv2(Y) )
| ssPv4(W) ),
inference(miniscoping,[status(esa)],[f15]) ).
fof(f80,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv3(X3)
| ~ ssRr(X2,X4)
| ssPv2(X1)
| ssPv2(X4)
| ssPv4(X2) ),
inference(cnf_transformation,[status(esa)],[f79]) ).
fof(f81,plain,
! [W] :
( ! [Y] :
( ! [X] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv4(V) )
| ~ ssRr(W,U) )
| ~ ssRr(X,Y)
| ~ ssRr(W,X) )
| ssPv3(Y) )
| ssPv1(W)
| ssPv2(W) ),
inference(miniscoping,[status(esa)],[f16]) ).
fof(f82,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ssPv3(X4)
| ssPv1(X2)
| ssPv2(X2) ),
inference(cnf_transformation,[status(esa)],[f81]) ).
fof(f83,plain,
! [Y] :
( ! [V] :
( ! [W] :
( ! [X] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssRr(W,U) )
| ~ ssRr(W,X)
| ~ ssPv2(X) )
| ~ ssRr(W,Y)
| ~ ssPv4(W) )
| ssPv3(V) )
| ssPv3(Y) ),
inference(miniscoping,[status(esa)],[f17]) ).
fof(f84,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv2(X3)
| ~ ssRr(X2,X4)
| ~ ssPv4(X2)
| ssPv3(X1)
| ssPv3(X4) ),
inference(cnf_transformation,[status(esa)],[f83]) ).
fof(f85,plain,
! [Y] :
( ! [V] :
( ! [W] :
( ! [X] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssRr(W,U) )
| ~ ssRr(W,X)
| ~ ssPv2(X) )
| ~ ssRr(W,Y)
| ~ ssPv3(W) )
| ssPv2(V) )
| ssPv4(Y) ),
inference(miniscoping,[status(esa)],[f18]) ).
fof(f86,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv2(X3)
| ~ ssRr(X2,X4)
| ~ ssPv3(X2)
| ssPv2(X1)
| ssPv4(X4) ),
inference(cnf_transformation,[status(esa)],[f85]) ).
fof(f87,plain,
! [W] :
( ! [Y] :
( ! [X] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv3(V) )
| ~ ssRr(W,U) )
| ~ ssRr(X,Y)
| ~ ssRr(W,X) )
| ~ ssPv1(W)
| ssPv1(Y) )
| ssPv3(W) ),
inference(miniscoping,[status(esa)],[f19]) ).
fof(f88,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssPv1(X2)
| ssPv1(X4)
| ssPv3(X2) ),
inference(cnf_transformation,[status(esa)],[f87]) ).
fof(f89,plain,
! [W] :
( ! [Y] :
( ! [X] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv3(V) )
| ~ ssRr(W,U) )
| ~ ssRr(W,X)
| ~ ssPv3(X) )
| ~ ssRr(W,Y)
| ssPv1(Y) )
| ssPv1(W) ),
inference(miniscoping,[status(esa)],[f20]) ).
fof(f90,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv3(X3)
| ~ ssRr(X2,X4)
| ssPv1(X4)
| ssPv1(X2) ),
inference(cnf_transformation,[status(esa)],[f89]) ).
fof(f91,plain,
! [Y] :
( ! [V] :
( ! [W] :
( ! [X] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssRr(W,U) )
| ~ ssRr(X,Y)
| ~ ssRr(W,X) )
| ~ ssPv2(W)
| ~ ssPv3(W) )
| ssPv4(V) )
| ssPv2(Y) ),
inference(miniscoping,[status(esa)],[f21]) ).
fof(f92,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssPv2(X2)
| ~ ssPv3(X2)
| ssPv4(X1)
| ssPv2(X4) ),
inference(cnf_transformation,[status(esa)],[f91]) ).
fof(f93,plain,
! [Y] :
( ! [V] :
( ! [W] :
( ! [X] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssRr(W,U) )
| ~ ssRr(X,Y)
| ~ ssRr(W,X) )
| ~ ssPv1(W)
| ~ ssPv4(W) )
| ssPv3(V) )
| ssPv2(Y) ),
inference(miniscoping,[status(esa)],[f22]) ).
fof(f94,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssPv1(X2)
| ~ ssPv4(X2)
| ssPv3(X1)
| ssPv2(X4) ),
inference(cnf_transformation,[status(esa)],[f93]) ).
fof(f95,plain,
! [W] :
( ! [Y] :
( ! [X] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv2(V) )
| ~ ssRr(W,U) )
| ~ ssRr(X,Y)
| ~ ssRr(W,X) )
| ~ ssPv2(W)
| ssPv3(Y) )
| ssPv1(W) ),
inference(miniscoping,[status(esa)],[f23]) ).
fof(f96,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssPv2(X2)
| ssPv3(X4)
| ssPv1(X2) ),
inference(cnf_transformation,[status(esa)],[f95]) ).
fof(f97,plain,
! [W] :
( ! [X] :
( ! [Y] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv3(V) )
| ~ ssRr(W,U) )
| ~ ssRr(X,Y)
| ~ ssPv2(Y) )
| ~ ssRr(W,X) )
| ssPv1(W)
| ssPv3(W) ),
inference(miniscoping,[status(esa)],[f24]) ).
fof(f98,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssPv2(X4)
| ~ ssRr(X2,X3)
| ssPv1(X2)
| ssPv3(X2) ),
inference(cnf_transformation,[status(esa)],[f97]) ).
fof(f99,plain,
! [W] :
( ! [Y] :
( ! [X] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv2(V) )
| ~ ssRr(W,U) )
| ~ ssRr(X,Y)
| ~ ssRr(W,X) )
| ~ ssPv1(W)
| ssPv3(Y) )
| ssPv4(W) ),
inference(miniscoping,[status(esa)],[f25]) ).
fof(f100,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssPv1(X2)
| ssPv3(X4)
| ssPv4(X2) ),
inference(cnf_transformation,[status(esa)],[f99]) ).
fof(f101,plain,
! [W] :
( ! [Y] :
( ! [X] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv1(V) )
| ~ ssRr(W,U) )
| ~ ssRr(W,X)
| ~ ssPv4(X) )
| ~ ssRr(W,Y)
| ~ ssPv3(Y) )
| ssPv2(W) ),
inference(miniscoping,[status(esa)],[f26]) ).
fof(f102,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv4(X3)
| ~ ssRr(X2,X4)
| ~ ssPv3(X4)
| ssPv2(X2) ),
inference(cnf_transformation,[status(esa)],[f101]) ).
fof(f105,plain,
! [W] :
( ! [Y] :
( ! [X] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv4(V) )
| ~ ssRr(W,U) )
| ~ ssRr(W,X)
| ~ ssPv4(X) )
| ~ ssRr(W,Y)
| ~ ssPv3(Y) )
| ssPv2(W) ),
inference(miniscoping,[status(esa)],[f28]) ).
fof(f106,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv4(X3)
| ~ ssRr(X2,X4)
| ~ ssPv3(X4)
| ssPv2(X2) ),
inference(cnf_transformation,[status(esa)],[f105]) ).
fof(f107,plain,
! [W] :
( ! [Y] :
( ! [X] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv3(V) )
| ~ ssRr(W,U) )
| ~ ssRr(W,X)
| ~ ssPv4(X) )
| ~ ssRr(W,Y)
| ~ ssPv3(Y) )
| ~ ssPv1(W) ),
inference(miniscoping,[status(esa)],[f29]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv4(X3)
| ~ ssRr(X2,X4)
| ~ ssPv3(X4)
| ~ ssPv1(X2) ),
inference(cnf_transformation,[status(esa)],[f107]) ).
fof(f109,plain,
! [W] :
( ! [Z] :
( ! [Y] :
( ! [V] :
( ! [X] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssRr(W,U) )
| ~ ssRr(X,Y)
| ~ ssRr(W,X) )
| ~ ssRr(W,Z)
| ssPv3(V) )
| ssPv2(Y) )
| ssPv1(Z) )
| ssPv4(W) ),
inference(miniscoping,[status(esa)],[f30]) ).
fof(f110,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X5)
| ssPv3(X1)
| ssPv2(X4)
| ssPv1(X5)
| ssPv4(X2) ),
inference(cnf_transformation,[status(esa)],[f109]) ).
fof(f115,plain,
! [W] :
( ! [Z] :
( ! [Y] :
( ! [X] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv1(V) )
| ~ ssRr(W,U) )
| ~ ssRr(X,Y)
| ~ ssRr(W,X) )
| ~ ssRr(W,Z)
| ssPv4(Y) )
| ssPv3(Z) )
| ssPv1(W) ),
inference(miniscoping,[status(esa)],[f33]) ).
fof(f116,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X5)
| ssPv4(X4)
| ssPv3(X5)
| ssPv1(X2) ),
inference(cnf_transformation,[status(esa)],[f115]) ).
fof(f117,plain,
! [W] :
( ! [Y] :
( ! [V] :
( ! [Z] :
( ! [X] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssRr(W,U) )
| ~ ssRr(X,Y)
| ~ ssRr(W,X) )
| ~ ssRr(W,Z)
| ~ ssPv2(Z) )
| ssPv2(V) )
| ssPv1(Y) )
| ssPv4(W) ),
inference(miniscoping,[status(esa)],[f34]) ).
fof(f118,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X5)
| ~ ssPv2(X5)
| ssPv2(X1)
| ssPv1(X4)
| ssPv4(X2) ),
inference(cnf_transformation,[status(esa)],[f117]) ).
fof(f119,plain,
! [W] :
( ! [Z] :
( ! [Y] :
( ! [X] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv3(V) )
| ~ ssRr(W,U) )
| ~ ssRr(X,Y)
| ~ ssRr(W,X) )
| ~ ssRr(W,Z)
| ssPv2(Y) )
| ssPv1(Z) )
| ssPv4(W) ),
inference(miniscoping,[status(esa)],[f35]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X5)
| ssPv2(X4)
| ssPv1(X5)
| ssPv4(X2) ),
inference(cnf_transformation,[status(esa)],[f119]) ).
fof(f121,plain,
! [W] :
( ! [Z] :
( ! [X] :
( ! [Y] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv2(V) )
| ~ ssRr(W,U) )
| ~ ssRr(X,Y)
| ~ ssPv1(Y) )
| ~ ssRr(W,X) )
| ~ ssRr(W,Z)
| ssPv4(Z) )
| ssPv2(W) ),
inference(miniscoping,[status(esa)],[f36]) ).
fof(f122,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssPv1(X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X5)
| ssPv4(X5)
| ssPv2(X2) ),
inference(cnf_transformation,[status(esa)],[f121]) ).
fof(f123,plain,
! [W] :
( ! [Z] :
( ! [X] :
( ! [Y] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv3(V) )
| ~ ssRr(W,U) )
| ~ ssRr(X,Y)
| ~ ssPv2(Y) )
| ~ ssRr(W,X) )
| ~ ssRr(W,Z)
| ssPv1(Z) )
| ssPv4(W) ),
inference(miniscoping,[status(esa)],[f37]) ).
fof(f124,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssPv2(X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X5)
| ssPv1(X5)
| ssPv4(X2) ),
inference(cnf_transformation,[status(esa)],[f123]) ).
fof(f127,plain,
! [W] :
( ! [Y] :
( ! [Z] :
( ! [X] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv3(V) )
| ~ ssRr(W,U) )
| ~ ssRr(X,Y)
| ~ ssRr(W,X) )
| ~ ssRr(W,Z)
| ~ ssPv1(Z) )
| ssPv4(Y) )
| ssPv4(W) ),
inference(miniscoping,[status(esa)],[f39]) ).
fof(f128,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X5)
| ~ ssPv1(X5)
| ssPv4(X4)
| ssPv4(X2) ),
inference(cnf_transformation,[status(esa)],[f127]) ).
fof(f131,plain,
! [W] :
( ! [Z] :
( ! [X] :
( ! [Y] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv4(V) )
| ~ ssRr(W,U) )
| ~ ssRr(X,Y)
| ~ ssPv3(Y) )
| ~ ssRr(W,X) )
| ~ ssRr(W,Z)
| ssPv4(Z) )
| ssPv2(W) ),
inference(miniscoping,[status(esa)],[f41]) ).
fof(f132,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssPv3(X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X5)
| ssPv4(X5)
| ssPv2(X2) ),
inference(cnf_transformation,[status(esa)],[f131]) ).
fof(f135,plain,
! [W] :
( ! [Y] :
( ! [Z] :
( ! [X] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv4(V) )
| ~ ssRr(W,U) )
| ~ ssRr(X,Y)
| ~ ssRr(W,X) )
| ~ ssRr(W,Z)
| ~ ssPv4(Z) )
| ssPv3(Y) )
| ssPv1(W) ),
inference(miniscoping,[status(esa)],[f43]) ).
fof(f136,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X5)
| ~ ssPv4(X5)
| ssPv3(X4)
| ssPv1(X2) ),
inference(cnf_transformation,[status(esa)],[f135]) ).
fof(f137,plain,
! [Z] :
( ! [W] :
( ! [X] :
( ! [Y] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv3(V) )
| ~ ssRr(W,U) )
| ~ ssRr(X,Y)
| ~ ssPv1(Y) )
| ~ ssRr(W,X) )
| ~ ssRr(W,Z)
| ~ ssPv1(W) )
| ssPv3(Z) ),
inference(miniscoping,[status(esa)],[f44]) ).
fof(f138,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssPv1(X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X5)
| ~ ssPv1(X2)
| ssPv3(X5) ),
inference(cnf_transformation,[status(esa)],[f137]) ).
fof(f139,plain,
! [Y] :
( ! [W] :
( ! [Z] :
( ! [X] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv3(V) )
| ~ ssRr(W,U) )
| ~ ssRr(X,Y)
| ~ ssRr(W,X) )
| ~ ssRr(W,Z)
| ~ ssPv3(Z) )
| ~ ssPv2(W) )
| ssPv2(Y) ),
inference(miniscoping,[status(esa)],[f45]) ).
fof(f140,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X5)
| ~ ssPv3(X5)
| ~ ssPv2(X2)
| ssPv2(X4) ),
inference(cnf_transformation,[status(esa)],[f139]) ).
fof(f141,plain,
! [W] :
( ! [Z] :
( ! [X] :
( ! [Y] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv4(V) )
| ~ ssRr(W,U) )
| ~ ssRr(X,Y)
| ~ ssPv2(Y) )
| ~ ssRr(W,X) )
| ~ ssRr(W,Z)
| ~ ssPv1(Z) )
| ssPv4(W) ),
inference(miniscoping,[status(esa)],[f46]) ).
fof(f142,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssPv2(X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X5)
| ~ ssPv1(X5)
| ssPv4(X2) ),
inference(cnf_transformation,[status(esa)],[f141]) ).
fof(f153,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ssPv1(X1)
| ssPv2(skf1(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f54,f52]) ).
fof(f155,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ssPv1(X1)
| ssPv2(skf1(X2))
| ssPv2(X2)
| ssPv3(X2) ),
inference(resolution,[status(thm)],[f54,f52]) ).
fof(f157,plain,
! [X0] :
( ssPv1(skf1(skf1(X0)))
| ssPv2(skf1(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f153,f52]) ).
fof(f159,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv1(skf1(X0))
| ssPv1(X1)
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f56,f52]) ).
fof(f161,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(skf1(X2))
| ssPv1(X1)
| ssPv3(X2)
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f56,f52]) ).
fof(f163,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ssPv1(skf1(skf1(X0)))
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f159,f52]) ).
fof(f173,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv3(X0)
| ssPv2(X1)
| ssPv1(skf1(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f58,f52]) ).
fof(f177,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv3(skf1(X0))
| ssPv2(X1)
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f60,f52]) ).
fof(f178,plain,
! [X0,X1,X2] :
( ~ ssRr(skf1(X0),X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X2)
| ssPv2(X1)
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f60,f52]) ).
fof(f179,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv3(skf1(X2))
| ssPv2(X1)
| ssPv2(X2)
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f60,f52]) ).
fof(f181,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv3(X0)
| ssPv3(X1)
| ssPv3(skf1(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f62,f52]) ).
fof(f182,plain,
! [X0,X1,X2] :
( ~ ssRr(skf1(X0),X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X0)
| ssPv3(X1)
| ssPv3(X2)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f62,f52]) ).
fof(f185,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv2(skf1(skf1(X0)))
| ssPv1(skf1(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f173,f52]) ).
fof(f187,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv2(skf1(skf1(X0)))
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f177,f52]) ).
fof(f189,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv3(skf1(skf1(X0)))
| ssPv3(skf1(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f181,f52]) ).
fof(f193,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ssPv2(skf1(skf1(X0)))
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f178,f52]) ).
fof(f196,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv4(skf1(X0))
| ~ ssPv1(X0)
| ssPv3(X1)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f64,f52]) ).
fof(f198,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv4(skf1(X2))
| ~ ssPv1(X2)
| ssPv3(X1)
| ssPv2(X2) ),
inference(resolution,[status(thm)],[f64,f52]) ).
fof(f200,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv3(skf1(X0))
| ~ ssPv4(X0)
| ssPv4(X1)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f66,f52]) ).
fof(f201,plain,
! [X0,X1,X2] :
( ~ ssRr(skf1(X0),X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X2)
| ~ ssPv4(X0)
| ssPv4(X1)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f66,f52]) ).
fof(f205,plain,
! [X0,X1,X2] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv2(X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X2)
| ~ ssPv4(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f68,f52]) ).
fof(f207,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X0)
| ~ ssPv4(X2)
| ssPv3(X2) ),
inference(factoring,[status(esa)],[f68]) ).
fof(f208,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ~ ssPv1(X0)
| ssPv3(skf1(skf1(X0)))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f196,f52]) ).
fof(f210,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ~ ssPv4(X0)
| ssPv4(skf1(skf1(X0)))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f200,f52]) ).
fof(f211,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv4(X1)
| ~ ssPv2(skf1(X0))
| ~ ssPv3(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f70,f52]) ).
fof(f212,plain,
! [X0,X1,X2] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv4(X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(X2)
| ~ ssPv3(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f70,f52]) ).
fof(f218,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X0)
| ssPv3(skf1(skf1(X0)))
| ssPv3(X1)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f182,f52]) ).
fof(f225,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssPv4(X0)
| ssPv4(skf1(skf1(X0)))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f201,f52]) ).
fof(f228,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv1(X2)
| ssPv3(X1)
| ssPv2(skf1(X3))
| ssPv3(X2) ),
inference(resolution,[status(thm)],[f72,f52]) ).
fof(f232,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(skf1(X0),X1)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X2)
| ~ ssPv3(X0)
| ssPv4(X1)
| ssPv1(X3)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f74,f52]) ).
fof(f246,plain,
! [X0,X1] :
( ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssPv4(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f205,f52]) ).
fof(f252,plain,
! [X0,X1] :
( ~ ssPv4(skf1(skf1(X0)))
| ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssPv3(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f212,f52]) ).
fof(f273,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ssPv3(skf1(X2))
| ssPv2(X3)
| ssPv1(X2) ),
inference(resolution,[status(thm)],[f76,f52]) ).
fof(f274,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ssPv3(X3)
| ssPv2(skf1(X2))
| ssPv1(X2) ),
inference(resolution,[status(thm)],[f76,f52]) ).
fof(f279,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv2(skf1(X2))
| ~ ssRr(X2,X3)
| ssPv4(X1)
| ssPv3(X3)
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f78,f52]) ).
fof(f284,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv3(skf1(X2))
| ssPv2(X1)
| ssPv2(skf1(X2))
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f80,f52]) ).
fof(f286,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv3(X3)
| ssPv2(X1)
| ssPv2(skf1(X2))
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f80,f52]) ).
fof(f297,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X2)
| ssPv3(X3)
| ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f82,f52]) ).
fof(f298,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ssPv3(skf1(X3))
| ssPv1(X2)
| ssPv2(X2) ),
inference(resolution,[status(thm)],[f82,f52]) ).
fof(f323,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv2(skf1(X2))
| ~ ssRr(X2,X3)
| ~ ssPv4(X2)
| ssPv3(X1)
| ssPv3(X3) ),
inference(resolution,[status(thm)],[f84,f52]) ).
fof(f327,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(skf1(X0),X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(X2)
| ~ ssRr(X0,X3)
| ~ ssPv3(X0)
| ssPv2(X1)
| ssPv4(X3) ),
inference(resolution,[status(thm)],[f86,f52]) ).
fof(f364,plain,
! [X0,X1,X2] :
( ~ ssRr(skf1(X0),X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X0)
| ssPv3(X1)
| ssPv2(skf1(X2))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f228,f52]) ).
fof(f365,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X2)
| ssPv3(X1)
| ssPv2(skf1(skf1(X2)))
| ssPv3(X2) ),
inference(resolution,[status(thm)],[f228,f52]) ).
fof(f369,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ssPv3(skf1(skf1(X0)))
| ssPv2(skf1(X1))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f364,f52]) ).
fof(f371,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X2)
| ~ ssPv1(X0)
| ssPv1(X3)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f88,f52]) ).
fof(f374,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv3(X1)
| ~ ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f90,f52]) ).
fof(f377,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ~ ssPv3(skf1(X2))
| ~ ssRr(X2,X3)
| ssPv1(X3)
| ssPv1(X2) ),
inference(resolution,[status(thm)],[f90,f52]) ).
fof(f381,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(skf1(X0),X1)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X2)
| ~ ssPv2(X0)
| ~ ssPv3(X0)
| ssPv4(X1)
| ssPv2(X3) ),
inference(resolution,[status(thm)],[f92,f52]) ).
fof(f382,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv2(X2)
| ~ ssPv3(X2)
| ssPv4(X1)
| ssPv2(skf1(X3)) ),
inference(resolution,[status(thm)],[f92,f52]) ).
fof(f389,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X2)
| ssPv3(X1)
| ssPv3(X2)
| ~ ssRr(X2,X3)
| ~ ssPv1(X3)
| ~ ssPv4(X2)
| ssPv3(X2) ),
inference(resolution,[status(thm)],[f365,f246]) ).
fof(f390,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X2)
| ssPv3(X1)
| ssPv3(X2)
| ~ ssRr(X2,X3)
| ~ ssPv1(X3)
| ~ ssPv4(X2) ),
inference(duplicate_literals_removal,[status(esa)],[f389]) ).
fof(f406,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv1(X2)
| ~ ssPv4(X2)
| ssPv3(X1)
| ssPv2(skf1(X3)) ),
inference(resolution,[status(thm)],[f94,f52]) ).
fof(f412,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv3(X2)
| ssPv4(skf1(skf1(X2)))
| ssPv1(X1)
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f232,f52]) ).
fof(f414,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv3(X2)
| ssPv1(X1)
| ssPv4(X2)
| ~ ssRr(X2,X3)
| ~ ssPv2(X3)
| ~ ssPv3(X2)
| ssPv1(X2) ),
inference(resolution,[status(thm)],[f412,f252]) ).
fof(f415,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv3(X2)
| ssPv1(X1)
| ssPv4(X2)
| ~ ssRr(X2,X3)
| ~ ssPv2(X3)
| ssPv1(X2) ),
inference(duplicate_literals_removal,[status(esa)],[f414]) ).
fof(f432,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv2(X1)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X2)
| ~ ssPv2(X0)
| ssPv3(X3)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f96,f52]) ).
fof(f433,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv2(X2)
| ssPv3(skf1(X3))
| ssPv1(X2) ),
inference(resolution,[status(thm)],[f96,f52]) ).
fof(f437,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X3)
| ~ ssPv2(X3)
| ~ ssRr(X0,X2)
| ssPv1(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f98,f52]) ).
fof(f438,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ~ ssPv2(skf1(X3))
| ~ ssRr(X2,X3)
| ssPv1(X2)
| ssPv3(X2) ),
inference(resolution,[status(thm)],[f98,f52]) ).
fof(f485,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv2(X1)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X2)
| ~ ssPv1(X0)
| ssPv3(X3)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f100,f52]) ).
fof(f486,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv1(X2)
| ssPv3(skf1(X3))
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f100,f52]) ).
fof(f490,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv1(X1)
| ~ ssPv4(skf1(X0))
| ~ ssPv3(skf1(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f102,f52]) ).
fof(f491,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv1(X1)
| ~ ssRr(X0,X2)
| ~ ssPv4(X2)
| ~ ssRr(X0,X3)
| ~ ssPv3(X3)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f102,f52]) ).
fof(f492,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X2,X0)
| ~ ssPv4(skf1(X2))
| ~ ssPv3(skf1(X2))
| ssPv2(X2) ),
inference(resolution,[status(thm)],[f102,f52]) ).
fof(f493,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X2,X0)
| ~ ssPv4(skf1(X2))
| ~ ssRr(X2,X3)
| ~ ssPv3(X3)
| ssPv2(X2) ),
inference(resolution,[status(thm)],[f102,f52]) ).
fof(f519,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv4(X1)
| ~ ssPv4(skf1(X0))
| ~ ssPv3(skf1(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f106,f52]) ).
fof(f522,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ~ ssPv4(skf1(X2))
| ~ ssRr(X2,X3)
| ~ ssPv3(X3)
| ssPv2(X2) ),
inference(resolution,[status(thm)],[f106,f52]) ).
fof(f541,plain,
! [X0,X1,X2] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv1(X1)
| ~ ssRr(X0,X2)
| ssPv3(X2)
| ssPv2(skf1(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f274,f52]) ).
fof(f545,plain,
! [X0,X1] :
( ~ ssPv1(skf1(skf1(X0)))
| ~ ssRr(X0,X1)
| ssPv3(X1)
| ssPv2(skf1(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f541,f52]) ).
fof(f550,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ssPv3(X1)
| ssPv2(skf1(X0))
| ssPv1(X0)
| ssPv2(skf1(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f545,f157]) ).
fof(f551,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ssPv3(X1)
| ssPv2(skf1(X0))
| ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f550]) ).
fof(f555,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ~ ssPv4(skf1(X2))
| ~ ssRr(X2,X3)
| ~ ssPv3(X3)
| ~ ssPv1(X2) ),
inference(resolution,[status(thm)],[f108,f52]) ).
fof(f557,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ~ ssPv4(X0)
| ~ ssPv3(X0)
| ~ ssPv1(X2) ),
inference(factoring,[status(esa)],[f108]) ).
fof(f559,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(skf1(X0),X1)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X4)
| ssPv3(X1)
| ssPv2(X3)
| ssPv1(X4)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f110,f52]) ).
fof(f569,plain,
! [X0] :
( ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f551,f52]) ).
fof(f584,plain,
! [X0,X1,X2] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv2(skf1(X0))
| ~ ssRr(X0,X2)
| ssPv4(X1)
| ssPv3(X2)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f279,f52]) ).
fof(f591,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv2(skf1(X2))
| ssPv4(X1)
| ssPv3(X0)
| ssPv4(X2) ),
inference(factoring,[status(esa)],[f279]) ).
fof(f598,plain,
! [X0,X1] :
( ~ ssPv2(skf1(X0))
| ~ ssRr(X0,X1)
| ssPv4(skf1(skf1(X0)))
| ssPv3(X1)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f584,f52]) ).
fof(f630,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X4)
| ssPv4(skf1(X3))
| ssPv3(X4)
| ssPv1(X2) ),
inference(resolution,[status(thm)],[f116,f52]) ).
fof(f654,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssPv2(skf1(X2))
| ssPv2(X1)
| ssPv1(X4)
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f118,f52]) ).
fof(f673,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X5)
| ssPv2(X4)
| ssPv1(X5)
| ssPv4(X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f120,f110]) ).
fof(f678,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(skf1(X2),X3)
| ssPv2(X3)
| ssPv1(skf1(X2))
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f673,f52]) ).
fof(f685,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(skf1(X3))
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X4)
| ssPv4(X4)
| ssPv2(X2) ),
inference(resolution,[status(thm)],[f122,f52]) ).
fof(f709,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ssPv2(skf1(skf1(X2)))
| ssPv1(skf1(X2))
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f678,f52]) ).
fof(f768,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X5)
| ssPv1(X5)
| ssPv4(X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f124,f673]) ).
fof(f772,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X4)
| ssPv1(X4)
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f768,f52]) ).
fof(f786,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X5)
| ssPv4(X4)
| ssPv4(X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f128,f768]) ).
fof(f791,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(skf1(X2),X3)
| ssPv4(X3)
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f786,f52]) ).
fof(f793,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ssPv4(X4)
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f786,f52]) ).
fof(f866,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ~ ssPv3(skf1(X3))
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X4)
| ssPv4(X4)
| ssPv2(X2) ),
inference(resolution,[status(thm)],[f132,f52]) ).
fof(f911,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ssPv4(skf1(skf1(X2)))
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f791,f52]) ).
fof(f913,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ssPv4(X2)
| ~ ssRr(X2,X3)
| ~ ssPv2(X3)
| ~ ssPv3(X2)
| ssPv1(X2) ),
inference(resolution,[status(thm)],[f911,f252]) ).
fof(f928,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssPv4(skf1(X2))
| ssPv3(X4)
| ssPv1(X2) ),
inference(resolution,[status(thm)],[f136,f52]) ).
fof(f933,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(skf1(X3))
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X4)
| ~ ssPv1(X2)
| ssPv3(X4) ),
inference(resolution,[status(thm)],[f138,f52]) ).
fof(f942,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X4)
| ~ ssPv3(X4)
| ~ ssPv2(X2)
| ssPv2(skf1(X3)) ),
inference(resolution,[status(thm)],[f140,f52]) ).
fof(f945,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssPv3(skf1(X2))
| ~ ssPv2(X2)
| ssPv2(X4) ),
inference(resolution,[status(thm)],[f140,f52]) ).
fof(f968,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ~ ssPv2(skf1(X3))
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X4)
| ~ ssPv1(X4)
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f142,f52]) ).
fof(f971,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssPv2(X4)
| ~ ssRr(X2,X3)
| ~ ssPv1(skf1(X2))
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f142,f52]) ).
fof(f1127,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv3(X1)
| ssPv1(skf1(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f772,f52]) ).
fof(f1129,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ssPv1(skf1(X2))
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f772,f52]) ).
fof(f1130,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ssPv1(X3)
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f772,f52]) ).
fof(f1133,plain,
! [X0] :
( ~ ssPv3(skf1(skf1(X0)))
| ssPv1(skf1(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f1127,f52]) ).
fof(f1134,plain,
! [X0,X1] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ssPv2(skf1(X1))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f1133,f369]) ).
fof(f1139,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssPv4(skf1(X0))
| ~ ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f1133,f208]) ).
fof(f1140,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssPv3(X0)
| ssPv3(skf1(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f1133,f189]) ).
fof(f1141,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssPv3(X0)
| ssPv3(skf1(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f1140]) ).
fof(f1174,plain,
! [X0,X1,X2] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv3(X1)
| ~ ssRr(X0,X2)
| ssPv1(X2)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f1130,f52]) ).
fof(f1177,plain,
! [X0,X1] :
( ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(X0,X1)
| ssPv1(X1)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f1174,f52]) ).
fof(f1201,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssPv1(X0)
| ssPv2(skf1(skf1(X0)))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f1134,f52]) ).
fof(f1222,plain,
! [X0,X1,X2] :
( ~ ssRr(skf1(X0),X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X2)
| ssPv2(X1)
| ssPv2(skf1(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f286,f52]) ).
fof(f1225,plain,
! [X0,X1,X2] :
( ~ ssPv4(skf1(skf1(X0)))
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ssPv3(X2)
| ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f297,f52]) ).
fof(f1226,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv4(X1)
| ssPv3(skf1(skf1(X0)))
| ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f298,f52]) ).
fof(f1227,plain,
! [X0,X1,X2] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv4(X1)
| ~ ssRr(X0,X2)
| ssPv3(skf1(X2))
| ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f298,f52]) ).
fof(f1228,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ssPv3(skf1(skf1(X2)))
| ssPv1(X2)
| ssPv2(X2) ),
inference(resolution,[status(thm)],[f298,f52]) ).
fof(f1231,plain,
! [X0] :
( ~ ssPv4(skf1(skf1(X0)))
| ssPv3(skf1(skf1(X0)))
| ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f1226,f52]) ).
fof(f1238,plain,
! [X0,X1] :
( ssPv3(skf1(skf1(X0)))
| ssPv1(X0)
| ssPv2(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssPv4(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f1231,f225]) ).
fof(f1239,plain,
! [X0,X1] :
( ssPv3(skf1(skf1(X0)))
| ssPv1(X0)
| ssPv2(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssPv4(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f1238]) ).
fof(f1240,plain,
! [X0] :
( ssPv3(skf1(skf1(X0)))
| ssPv1(X0)
| ssPv2(X0)
| ~ ssPv3(skf1(X0))
| ~ ssPv4(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f1231,f210]) ).
fof(f1241,plain,
! [X0] :
( ssPv3(skf1(skf1(X0)))
| ssPv1(X0)
| ssPv2(X0)
| ~ ssPv3(skf1(X0))
| ~ ssPv4(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f1240]) ).
fof(f1273,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ssPv2(skf1(skf1(X0)))
| ssPv2(skf1(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f1222,f52]) ).
fof(f1298,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ssPv3(X1)
| ssPv1(X2)
| ssPv2(X2)
| ~ ssRr(X2,X3)
| ~ ssPv3(X3)
| ~ ssPv4(X2)
| ssPv1(X2) ),
inference(resolution,[status(thm)],[f1225,f225]) ).
fof(f1299,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ssPv3(X1)
| ssPv1(X2)
| ssPv2(X2)
| ~ ssRr(X2,X3)
| ~ ssPv3(X3)
| ~ ssPv4(X2) ),
inference(duplicate_literals_removal,[status(esa)],[f1298]) ).
fof(f1302,plain,
! [X0,X1] :
( ~ ssPv4(skf1(skf1(X0)))
| ~ ssRr(X0,X1)
| ssPv3(skf1(X1))
| ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f1227,f52]) ).
fof(f1311,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ssPv3(skf1(X1))
| ssPv1(X0)
| ssPv2(X0)
| ~ ssPv3(skf1(X0))
| ~ ssPv4(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f1302,f210]) ).
fof(f1312,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ssPv3(skf1(X1))
| ssPv1(X0)
| ssPv2(X0)
| ~ ssPv3(skf1(X0))
| ~ ssPv4(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f1311]) ).
fof(f1322,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ssPv3(skf1(X1))
| ssPv1(X0)
| ssPv2(X0)
| ~ ssPv4(X0)
| ssPv2(skf1(X0))
| ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f1312,f569]) ).
fof(f1323,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ssPv3(skf1(X1))
| ssPv1(X0)
| ssPv2(X0)
| ~ ssPv4(X0)
| ssPv2(skf1(X0))
| ssPv3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f1322]) ).
fof(f1324,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ssPv1(X2)
| ssPv2(X2)
| ~ ssRr(X2,X3)
| ssPv1(X3)
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f1228,f1177]) ).
fof(f1325,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ssPv1(X2)
| ssPv2(X2)
| ssPv1(skf1(X2))
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f1228,f1133]) ).
fof(f1354,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X2)
| ssPv4(X3)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f793,f52]) ).
fof(f1355,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ssPv4(skf1(X3))
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f793,f52]) ).
fof(f1359,plain,
! [X0,X1,X2] :
( ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ssPv4(X2)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f1354,f52]) ).
fof(f1364,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ssPv4(X1)
| ssPv4(X2)
| ~ ssRr(X2,X3)
| ~ ssPv3(X2)
| ssPv3(X3)
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f1359,f218]) ).
fof(f1365,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ssPv4(X1)
| ssPv4(X2)
| ~ ssRr(X2,X3)
| ~ ssPv3(X2)
| ssPv3(X3) ),
inference(duplicate_literals_removal,[status(esa)],[f1364]) ).
fof(f1367,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ssPv4(X1)
| ssPv4(X2)
| ~ ssPv3(X2)
| ssPv3(skf1(X2))
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f1359,f189]) ).
fof(f1368,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ssPv4(X1)
| ssPv4(X2)
| ~ ssPv3(X2)
| ssPv3(skf1(X2)) ),
inference(duplicate_literals_removal,[status(esa)],[f1367]) ).
fof(f1371,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ssPv4(X1)
| ssPv4(X0)
| ~ ssPv3(X0)
| ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f1368,f52]) ).
fof(f1372,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ssPv4(X0)
| ~ ssPv3(X0)
| ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f1371,f52]) ).
fof(f1376,plain,
! [X0,X1] :
( ssPv4(X0)
| ~ ssPv3(X0)
| ssPv3(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssPv3(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f1372,f252]) ).
fof(f1377,plain,
! [X0,X1] :
( ssPv4(X0)
| ~ ssPv3(X0)
| ssPv3(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ssPv1(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f1376]) ).
fof(f1387,plain,
! [X0] :
( ssPv4(X0)
| ~ ssPv3(X0)
| ssPv3(skf1(X0))
| ~ ssPv2(skf1(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f1377,f52]) ).
fof(f1405,plain,
! [X0] :
( ssPv4(skf1(X0))
| ~ ssPv3(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f1387,f187]) ).
fof(f1406,plain,
! [X0] :
( ssPv4(skf1(X0))
| ~ ssPv3(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f1405]) ).
fof(f1407,plain,
! [X0] :
( ssPv4(skf1(X0))
| ~ ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1406,f1133]) ).
fof(f1421,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv4(X0)
| ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f1407,f1141]) ).
fof(f1422,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv4(X0)
| ~ ssPv3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f1421]) ).
fof(f1431,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv4(X0)
| ~ ssPv3(X0)
| ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f1422,f1139]) ).
fof(f1432,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv4(X0)
| ~ ssPv3(X0)
| ~ ssPv1(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f1431]) ).
fof(f1444,plain,
! [X0,X1,X2] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv3(X1)
| ~ ssRr(X0,X2)
| ssPv4(skf1(X2))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f1355,f52]) ).
fof(f1465,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv2(skf1(X2))
| ~ ssPv4(X2)
| ssPv3(X1)
| ssPv3(X0) ),
inference(factoring,[status(esa)],[f323]) ).
fof(f1472,plain,
! [X0,X1] :
( ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(X0,X1)
| ssPv4(skf1(X1))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f1444,f52]) ).
fof(f1474,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ssPv4(skf1(X1))
| ssPv4(X0)
| ~ ssRr(X0,X2)
| ~ ssPv1(X0)
| ssPv2(skf1(X2))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f1472,f369]) ).
fof(f1500,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X0)
| ssPv2(skf1(skf1(X0)))
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f327,f52]) ).
fof(f1517,plain,
! [X0,X1,X2] :
( ~ ssRr(skf1(X0),X1)
| ssPv4(X1)
| ssPv4(X0)
| ~ ssRr(X0,X2)
| ~ ssPv3(X0)
| ssPv3(X2) ),
inference(resolution,[status(thm)],[f1365,f52]) ).
fof(f1519,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ssPv4(X1)
| ssPv4(X2)
| ~ ssPv3(X2)
| ssPv3(X0) ),
inference(factoring,[status(esa)],[f1365]) ).
fof(f1521,plain,
! [X0,X1] :
( ssPv4(skf1(skf1(X0)))
| ssPv4(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(X0)
| ssPv3(X1) ),
inference(resolution,[status(thm)],[f1517,f52]) ).
fof(f1525,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(X0)
| ssPv3(X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(X2)
| ~ ssPv3(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f1521,f252]) ).
fof(f1526,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(X0)
| ssPv3(X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(X2)
| ssPv1(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f1525]) ).
fof(f1539,plain,
! [X0,X1] :
( ssPv4(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(X0)
| ssPv3(X1)
| ~ ssPv2(skf1(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f1526,f52]) ).
fof(f1675,plain,
! [X0,X1,X2] :
( ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ssPv1(X2)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f371,f52]) ).
fof(f1685,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X2)
| ssPv1(X1)
| ssPv3(X2)
| ~ ssRr(X2,X3)
| ~ ssPv1(X2)
| ssPv2(skf1(X3))
| ssPv3(X2) ),
inference(resolution,[status(thm)],[f1675,f369]) ).
fof(f1686,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X2)
| ssPv1(X1)
| ssPv3(X2)
| ~ ssRr(X2,X3)
| ssPv2(skf1(X3)) ),
inference(duplicate_literals_removal,[status(esa)],[f1685]) ).
fof(f1691,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X2)
| ssPv1(X1)
| ssPv3(X2)
| ~ ssPv4(skf1(X2))
| ~ ssPv1(X2)
| ssPv2(X2) ),
inference(resolution,[status(thm)],[f1675,f208]) ).
fof(f1692,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X2)
| ssPv1(X1)
| ssPv3(X2)
| ~ ssPv4(skf1(X2))
| ssPv2(X2) ),
inference(duplicate_literals_removal,[status(esa)],[f1691]) ).
fof(f1700,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv4(X1)
| ssPv1(X0)
| ssPv2(X0)
| ssPv1(skf1(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f1325,f52]) ).
fof(f1701,plain,
! [X0] :
( ~ ssPv4(skf1(skf1(X0)))
| ssPv1(X0)
| ssPv2(X0)
| ssPv1(skf1(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f1700,f52]) ).
fof(f1717,plain,
! [X0,X1,X2] :
( ssPv1(X0)
| ssPv2(X0)
| ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssPv3(X0)
| ssPv1(X2)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f1701,f412]) ).
fof(f1718,plain,
! [X0,X1,X2] :
( ssPv1(X0)
| ssPv2(X0)
| ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssPv3(X0)
| ssPv1(X2) ),
inference(duplicate_literals_removal,[status(esa)],[f1717]) ).
fof(f1719,plain,
! [X0,X1,X2] :
( ssPv2(X0)
| ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssPv3(X0)
| ssPv1(X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f1718,f1432]) ).
fof(f1746,plain,
! [X0,X1,X2] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv3(X1)
| ~ ssPv3(skf1(X0))
| ~ ssRr(X0,X2)
| ssPv1(X2)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f377,f52]) ).
fof(f1794,plain,
! [X0,X1] :
( ~ ssPv3(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0))
| ~ ssRr(X0,X1)
| ssPv1(X1)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f1746,f52]) ).
fof(f1800,plain,
! [X0,X1] :
( ~ ssPv3(skf1(X0))
| ~ ssRr(X0,X1)
| ssPv1(X1)
| ssPv1(X0)
| ssPv1(X0)
| ssPv2(X0)
| ~ ssPv3(skf1(X0))
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[f1794,f1241]) ).
fof(f1801,plain,
! [X0,X1] :
( ~ ssPv3(skf1(X0))
| ~ ssRr(X0,X1)
| ssPv1(X1)
| ssPv1(X0)
| ssPv2(X0)
| ~ ssPv4(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f1800]) ).
fof(f1816,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ssPv1(X1)
| ssPv1(X0)
| ssPv2(X0)
| ~ ssPv4(X0)
| ssPv2(skf1(X0))
| ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f1801,f569]) ).
fof(f1817,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ssPv1(X1)
| ssPv1(X0)
| ssPv2(X0)
| ~ ssPv4(X0)
| ssPv2(skf1(X0))
| ssPv3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f1816]) ).
fof(f1818,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv2(X0)
| ~ ssPv4(X0)
| ssPv2(skf1(X0))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f1817,f52]) ).
fof(f1847,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv1(X0)
| ssPv1(X1)
| ssPv3(X0)
| ~ ssPv4(skf1(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f1692,f52]) ).
fof(f1865,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv1(skf1(skf1(X0)))
| ssPv3(X0)
| ~ ssPv4(skf1(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f1847,f52]) ).
fof(f1872,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv2(X2)
| ~ ssPv3(X2)
| ssPv4(skf1(skf1(X2)))
| ssPv2(X1) ),
inference(resolution,[status(thm)],[f381,f52]) ).
fof(f1875,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv2(X2)
| ~ ssPv3(X2)
| ssPv4(X1)
| ssPv2(skf1(skf1(X2))) ),
inference(resolution,[status(thm)],[f382,f52]) ).
fof(f1881,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv2(X2)
| ~ ssPv3(X2)
| ssPv2(X1)
| ~ ssRr(X2,X3)
| ~ ssPv2(X3)
| ~ ssPv3(X2)
| ssPv1(X2) ),
inference(resolution,[status(thm)],[f1872,f252]) ).
fof(f1882,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv2(X2)
| ~ ssPv3(X2)
| ssPv2(X1)
| ~ ssRr(X2,X3)
| ~ ssPv2(X3)
| ssPv1(X2) ),
inference(duplicate_literals_removal,[status(esa)],[f1881]) ).
fof(f1930,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X2)
| ~ ssPv4(X2)
| ssPv3(X1)
| ssPv2(skf1(skf1(X2))) ),
inference(resolution,[status(thm)],[f406,f52]) ).
fof(f1980,plain,
! [X0,X1,X2] :
( ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ssPv3(X2)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f432,f52]) ).
fof(f1992,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X2,X0)
| ~ ssPv2(X2)
| ssPv3(skf1(skf1(X2)))
| ssPv1(X2) ),
inference(resolution,[status(thm)],[f433,f52]) ).
fof(f2004,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X2,X0)
| ~ ssPv2(X2)
| ssPv1(X2)
| ssPv1(skf1(X2))
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f1992,f1133]) ).
fof(f2024,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv2(X1)
| ~ ssPv2(X0)
| ssPv1(X0)
| ssPv1(skf1(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f2004,f52]) ).
fof(f2025,plain,
! [X0] :
( ~ ssPv2(skf1(skf1(X0)))
| ~ ssPv2(X0)
| ssPv1(X0)
| ssPv1(skf1(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f2024,f52]) ).
fof(f2027,plain,
! [X0,X1,X2] :
( ~ ssPv3(skf1(skf1(X0)))
| ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssRr(X0,X1)
| ssPv1(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f437,f52]) ).
fof(f2028,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv3(X1)
| ~ ssPv2(skf1(skf1(X0)))
| ssPv1(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f438,f52]) ).
fof(f2057,plain,
! [X0,X1,X2] :
( ~ ssPv2(X0)
| ssPv1(X0)
| ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ssPv1(skf1(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f2025,f709]) ).
fof(f2058,plain,
! [X0,X1,X2] :
( ~ ssPv2(X0)
| ssPv1(X0)
| ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(duplicate_literals_removal,[status(esa)],[f2057]) ).
fof(f2086,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ssPv1(X2)
| ssPv1(skf1(X2))
| ssPv4(X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f1325,f2058]) ).
fof(f2087,plain,
! [X0,X1] :
( ~ ssPv2(X0)
| ssPv1(X0)
| ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f2058,f52]) ).
fof(f2088,plain,
! [X0] :
( ~ ssPv2(X0)
| ssPv1(X0)
| ssPv1(skf1(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f2087,f52]) ).
fof(f2090,plain,
! [X0] :
( ~ ssPv4(skf1(skf1(X0)))
| ssPv1(X0)
| ssPv1(skf1(X0))
| ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1701,f2088]) ).
fof(f2094,plain,
! [X0,X1,X2] :
( ~ ssPv2(X0)
| ssPv1(X0)
| ssPv4(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ssPv1(X2)
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f2088,f161]) ).
fof(f2095,plain,
! [X0,X1,X2] :
( ~ ssPv2(X0)
| ssPv1(X0)
| ssPv4(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ssPv1(X2)
| ssPv3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f2094]) ).
fof(f2105,plain,
! [X0,X1] :
( ssPv1(X0)
| ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssPv2(skf1(X0))
| ~ ssRr(X0,X1)
| ssPv3(X1)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f2090,f598]) ).
fof(f2106,plain,
! [X0,X1] :
( ssPv1(X0)
| ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssPv2(skf1(X0))
| ~ ssRr(X0,X1)
| ssPv3(X1) ),
inference(duplicate_literals_removal,[status(esa)],[f2105]) ).
fof(f2117,plain,
! [X0,X1] :
( ~ ssPv2(X0)
| ssPv1(X0)
| ssPv4(X0)
| ~ ssRr(X0,X1)
| ssPv1(skf1(X1))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f2095,f52]) ).
fof(f2118,plain,
! [X0] :
( ~ ssPv2(X0)
| ssPv1(X0)
| ssPv4(X0)
| ssPv1(skf1(skf1(X0)))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f2117,f52]) ).
fof(f2119,plain,
! [X0,X1] :
( ~ ssPv2(X0)
| ssPv1(X0)
| ssPv4(X0)
| ssPv3(X0)
| ~ ssRr(X0,X1)
| ssPv3(X1)
| ssPv2(skf1(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f2118,f545]) ).
fof(f2120,plain,
! [X0,X1] :
( ~ ssPv2(X0)
| ssPv1(X0)
| ssPv4(X0)
| ssPv3(X0)
| ~ ssRr(X0,X1)
| ssPv3(X1)
| ssPv2(skf1(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f2119]) ).
fof(f2121,plain,
! [X0,X1] :
( ssPv1(X0)
| ssPv4(X0)
| ssPv3(X0)
| ~ ssRr(X0,X1)
| ssPv3(X1)
| ssPv2(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2120,f551]) ).
fof(f2128,plain,
! [X0] :
( ssPv1(X0)
| ssPv4(X0)
| ssPv3(X0)
| ssPv3(skf1(X0))
| ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f2121,f52]) ).
fof(f2143,plain,
! [X0] :
( ssPv1(X0)
| ssPv4(X0)
| ssPv3(X0)
| ssPv2(skf1(X0))
| ssPv4(skf1(X0))
| ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f2128,f1407]) ).
fof(f2144,plain,
! [X0] :
( ssPv1(X0)
| ssPv4(X0)
| ssPv3(X0)
| ssPv2(skf1(X0))
| ssPv4(skf1(X0))
| ssPv1(skf1(X0))
| ssPv2(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f2143]) ).
fof(f2145,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(X0)
| ssPv2(skf1(X0))
| ssPv4(skf1(X0))
| ssPv1(skf1(X0))
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2144,f1818]) ).
fof(f2158,plain,
! [X0,X1,X2] :
( ssPv1(X0)
| ssPv4(X0)
| ssPv3(X0)
| ssPv2(skf1(X0))
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ssPv2(X2)
| ssPv2(skf1(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f2128,f284]) ).
fof(f2159,plain,
! [X0,X1,X2] :
( ssPv1(X0)
| ssPv4(X0)
| ssPv3(X0)
| ssPv2(skf1(X0))
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ssPv2(X2) ),
inference(duplicate_literals_removal,[status(esa)],[f2158]) ).
fof(f2163,plain,
! [X0,X1,X2] :
( ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ssPv3(X2)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f485,f52]) ).
fof(f2166,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X2)
| ssPv3(skf1(skf1(X2)))
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f486,f52]) ).
fof(f2276,plain,
! [X0] :
( ~ ssPv1(skf1(skf1(X0)))
| ~ ssPv4(skf1(X0))
| ~ ssPv3(skf1(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f490,f52]) ).
fof(f2277,plain,
! [X0,X1,X2] :
( ~ ssPv1(skf1(skf1(X0)))
| ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X2)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f491,f52]) ).
fof(f2286,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X2)
| ssPv3(X1)
| ssPv4(X2)
| ssPv1(skf1(X2))
| ssPv4(X2)
| ~ ssPv1(X2)
| ssPv3(X2) ),
inference(resolution,[status(thm)],[f2163,f1201]) ).
fof(f2287,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X2)
| ssPv3(X1)
| ssPv4(X2)
| ssPv1(skf1(X2))
| ssPv3(X2) ),
inference(duplicate_literals_removal,[status(esa)],[f2286]) ).
fof(f2288,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X2)
| ssPv4(X2)
| ssPv1(skf1(X2))
| ssPv3(X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f2287,f1129]) ).
fof(f2302,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X2)
| ssPv3(X1)
| ssPv4(X2)
| ~ ssPv3(skf1(X2))
| ssPv2(X2)
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f2163,f187]) ).
fof(f2303,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X2)
| ssPv3(X1)
| ssPv4(X2)
| ~ ssPv3(skf1(X2))
| ssPv2(X2) ),
inference(duplicate_literals_removal,[status(esa)],[f2302]) ).
fof(f2307,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv1(X0)
| ssPv4(X0)
| ssPv1(skf1(X0))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f2288,f52]) ).
fof(f2308,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv4(X0)
| ssPv1(skf1(X0))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f2307,f52]) ).
fof(f2314,plain,
! [X0,X1,X2] :
( ~ ssPv1(X0)
| ssPv4(X0)
| ssPv3(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ssPv1(X2)
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f2308,f161]) ).
fof(f2315,plain,
! [X0,X1,X2] :
( ~ ssPv1(X0)
| ssPv4(X0)
| ssPv3(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ssPv1(X2) ),
inference(duplicate_literals_removal,[status(esa)],[f2314]) ).
fof(f2367,plain,
! [X0,X1] :
( ~ ssPv1(X0)
| ssPv4(X0)
| ssPv3(X0)
| ~ ssRr(X0,X1)
| ssPv1(skf1(X1)) ),
inference(resolution,[status(thm)],[f2315,f52]) ).
fof(f2369,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv4(X0)
| ssPv3(X0)
| ssPv1(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f2367,f52]) ).
fof(f2383,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X2)
| ssPv4(X2)
| ~ ssRr(X2,X3)
| ssPv4(skf1(X3))
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f2166,f1472]) ).
fof(f2384,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X2)
| ssPv4(X2)
| ~ ssRr(X2,X3)
| ssPv4(skf1(X3)) ),
inference(duplicate_literals_removal,[status(esa)],[f2383]) ).
fof(f2387,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X2)
| ssPv4(X2)
| ~ ssRr(X2,X3)
| ssPv1(X3)
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f2166,f1177]) ).
fof(f2388,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X2)
| ssPv4(X2)
| ~ ssRr(X2,X3)
| ssPv1(X3) ),
inference(duplicate_literals_removal,[status(esa)],[f2387]) ).
fof(f2389,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X2)
| ssPv4(X2)
| ssPv1(skf1(X2))
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f2166,f1133]) ).
fof(f2390,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X2)
| ssPv4(X2)
| ssPv1(skf1(X2)) ),
inference(duplicate_literals_removal,[status(esa)],[f2389]) ).
fof(f2412,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv2(X1)
| ~ ssPv1(X0)
| ssPv4(X0)
| ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f2390,f52]) ).
fof(f2436,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X2,X0)
| ~ ssPv4(skf1(X2))
| ~ ssPv3(X0)
| ssPv2(X2) ),
inference(factoring,[status(esa)],[f493]) ).
fof(f2465,plain,
! [X0] :
( ~ ssPv2(skf1(skf1(X0)))
| ~ ssPv1(X0)
| ssPv4(X0)
| ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f2412,f52]) ).
fof(f2478,plain,
! [X0,X1,X2] :
( ~ ssPv1(X0)
| ssPv4(X0)
| ssPv1(skf1(X0))
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ssPv1(skf1(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f2465,f709]) ).
fof(f2479,plain,
! [X0,X1,X2] :
( ~ ssPv1(X0)
| ssPv4(X0)
| ssPv1(skf1(X0))
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(duplicate_literals_removal,[status(esa)],[f2478]) ).
fof(f2491,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ssPv1(skf1(X2))
| ssPv4(X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f2086,f2479]) ).
fof(f2492,plain,
! [X0,X1] :
( ~ ssPv1(X0)
| ssPv4(X0)
| ssPv1(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f2479,f52]) ).
fof(f2494,plain,
! [X0,X1] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssPv2(skf1(X0))
| ~ ssRr(X0,X1)
| ssPv3(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f2106,f2492]) ).
fof(f2496,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv4(X0)
| ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f2492,f52]) ).
fof(f2500,plain,
! [X0] :
( ~ ssPv4(skf1(skf1(X0)))
| ssPv1(skf1(X0))
| ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f2090,f2496]) ).
fof(f2501,plain,
! [X0] :
( ~ ssPv2(X0)
| ssPv1(skf1(X0))
| ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f2088,f2496]) ).
fof(f2507,plain,
! [X0,X1,X2] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssPv3(X0)
| ssPv1(X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f1719,f2501]) ).
fof(f2510,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1422,f2501]) ).
fof(f2545,plain,
! [X0,X1,X2] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssPv3(X0)
| ~ ssRr(X1,X2)
| ~ ssPv1(X2)
| ~ ssRr(X0,X1)
| ~ ssPv3(skf1(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f2510,f492]) ).
fof(f2546,plain,
! [X0,X1,X2] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssPv3(X0)
| ~ ssRr(X1,X2)
| ~ ssPv1(X2)
| ~ ssRr(X0,X1)
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2545,f1141]) ).
fof(f2651,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X2)
| ssPv2(X0)
| ssPv2(skf1(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f2277,f157]) ).
fof(f2652,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X2)
| ssPv2(X0)
| ssPv2(skf1(X0))
| ssPv3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f2651]) ).
fof(f2660,plain,
! [X0] :
( ~ ssPv4(skf1(skf1(X0)))
| ~ ssPv4(skf1(X0))
| ~ ssPv3(skf1(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f519,f52]) ).
fof(f2665,plain,
! [X0,X1,X2] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv2(X1)
| ~ ssPv1(X0)
| ssPv4(X0)
| ~ ssRr(X0,X2)
| ssPv1(X2) ),
inference(resolution,[status(thm)],[f2388,f52]) ).
fof(f2669,plain,
! [X0,X1] :
( ~ ssPv2(skf1(skf1(X0)))
| ~ ssPv1(X0)
| ssPv4(X0)
| ~ ssRr(X0,X1)
| ssPv1(X1) ),
inference(resolution,[status(thm)],[f2665,f52]) ).
fof(f2723,plain,
! [X0,X1] :
( ssPv1(X0)
| ssPv4(X0)
| ssPv3(X0)
| ssPv2(skf1(X0))
| ~ ssRr(X0,X1)
| ssPv2(skf1(X1)) ),
inference(resolution,[status(thm)],[f2159,f52]) ).
fof(f2724,plain,
! [X0] :
( ssPv1(X0)
| ssPv4(X0)
| ssPv3(X0)
| ssPv2(skf1(X0))
| ssPv2(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f2723,f52]) ).
fof(f2790,plain,
! [X0,X1] :
( ssPv1(X0)
| ssPv4(X0)
| ssPv3(X0)
| ssPv2(skf1(X0))
| ~ ssRr(skf1(X0),X1)
| ~ ssPv3(X1)
| ssPv1(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f2724,f2028]) ).
fof(f2791,plain,
! [X0,X1] :
( ssPv1(X0)
| ssPv4(X0)
| ssPv3(X0)
| ssPv2(skf1(X0))
| ~ ssRr(skf1(X0),X1)
| ~ ssPv3(X1) ),
inference(duplicate_literals_removal,[status(esa)],[f2790]) ).
fof(f2849,plain,
! [X0] :
( ssPv1(X0)
| ssPv4(X0)
| ssPv3(X0)
| ssPv2(skf1(X0))
| ~ ssPv3(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f2791,f52]) ).
fof(f2875,plain,
! [X0,X1,X2] :
( ssPv1(X0)
| ssPv4(X0)
| ssPv3(X0)
| ssPv2(skf1(X0))
| ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f2849,f1992]) ).
fof(f2876,plain,
! [X0,X1,X2] :
( ssPv1(X0)
| ssPv4(X0)
| ssPv3(X0)
| ssPv2(skf1(X0))
| ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssRr(X0,X1)
| ~ ssPv2(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f2875]) ).
fof(f2877,plain,
! [X0,X1,X2] :
( ssPv1(X0)
| ssPv4(X0)
| ssPv3(X0)
| ssPv2(skf1(X0))
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2876,f2159]) ).
fof(f3050,plain,
! [X0,X1,X2] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssPv3(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2546,f2507]) ).
fof(f3051,plain,
! [X0,X1] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssPv3(X0)
| ~ ssRr(X0,X1)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f3050,f52]) ).
fof(f3052,plain,
! [X0,X1] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssPv3(X0)
| ~ ssRr(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f3051,f2501]) ).
fof(f3053,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f3052,f52]) ).
fof(f3235,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssPv3(skf1(X0))
| ssPv2(X0)
| ssPv2(skf1(X0))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f2652,f52]) ).
fof(f3257,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ssPv2(X0)
| ssPv2(skf1(X0))
| ssPv3(X0)
| ssPv2(skf1(X0))
| ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f3235,f569]) ).
fof(f3258,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ssPv2(X0)
| ssPv2(skf1(X0))
| ssPv3(X0)
| ssPv1(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f3257]) ).
fof(f3259,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ssPv2(X0)
| ssPv2(skf1(X0))
| ssPv3(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f3258,f52]) ).
fof(f3260,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(X0)
| ssPv2(skf1(X0))
| ssPv1(skf1(X0))
| ssPv2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f2145,f3259]) ).
fof(f3294,plain,
! [X0,X1] :
( ssPv1(X0)
| ssPv3(X0)
| ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssRr(X0,X1)
| ssPv3(X1) ),
inference(resolution,[status(thm)],[f3260,f2494]) ).
fof(f3295,plain,
! [X0,X1] :
( ssPv1(X0)
| ssPv3(X0)
| ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv4(X0)
| ~ ssRr(X0,X1)
| ssPv3(X1) ),
inference(duplicate_literals_removal,[status(esa)],[f3294]) ).
fof(f3296,plain,
! [X0,X1] :
( ssPv3(X0)
| ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv4(X0)
| ~ ssRr(X0,X1)
| ssPv3(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f3295,f2496]) ).
fof(f3312,plain,
! [X0,X1] :
( ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv4(X0)
| ~ ssRr(X0,X1)
| ssPv3(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f3296,f3053]) ).
fof(f3313,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv4(X0)
| ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f3312,f52]) ).
fof(f3314,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ssPv3(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f3313,f2501]) ).
fof(f3328,plain,
! [X0,X1] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ssPv2(X0)
| ssPv2(skf1(X0))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f3314,f3235]) ).
fof(f3329,plain,
! [X0,X1] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ssPv2(skf1(X0))
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3328,f2501]) ).
fof(f3362,plain,
! [X0,X1,X2] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ssPv2(X2)
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f3314,f179]) ).
fof(f3363,plain,
! [X0,X1,X2] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ssPv2(X2)
| ssPv2(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f3362]) ).
fof(f3364,plain,
! [X0,X1,X2] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ssPv2(X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f3363,f2501]) ).
fof(f3374,plain,
! [X0,X1] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssRr(X0,X1)
| ssPv2(skf1(X1)) ),
inference(resolution,[status(thm)],[f3364,f52]) ).
fof(f3375,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ssPv2(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f3374,f52]) ).
fof(f3396,plain,
! [X0,X1] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ssPv4(skf1(X0))
| ~ ssRr(skf1(X0),X1)
| ~ ssPv3(skf1(X0))
| ssPv3(X1)
| ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f3375,f1539]) ).
fof(f3397,plain,
! [X0,X1] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ssPv4(skf1(X0))
| ~ ssRr(skf1(X0),X1)
| ~ ssPv3(skf1(X0))
| ssPv3(X1) ),
inference(duplicate_literals_removal,[status(esa)],[f3396]) ).
fof(f3398,plain,
! [X0,X1] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ssPv4(skf1(X0))
| ~ ssRr(skf1(X0),X1)
| ssPv3(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f3397,f3314]) ).
fof(f3428,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(skf1(X0),X1)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X4)
| ssPv2(X3)
| ssPv1(X4)
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f559,f1174]) ).
fof(f3429,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ssPv2(X1)
| ssPv1(X3)
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f3428,f52]) ).
fof(f3432,plain,
! [X0,X1,X2] :
( ~ ssRr(skf1(X0),X1)
| ~ ssRr(X0,X2)
| ssPv2(X1)
| ssPv1(X2)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f3429,f52]) ).
fof(f3440,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ssPv2(skf1(skf1(X0)))
| ssPv1(X1)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f3432,f52]) ).
fof(f3441,plain,
! [X0,X1] :
( ~ ssPv1(X0)
| ssPv4(X0)
| ~ ssRr(X0,X1)
| ssPv1(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f2669,f3440]) ).
fof(f3447,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ssPv1(X1)
| ssPv4(X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X2)
| ~ ssPv2(X0)
| ssPv3(X3)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f3440,f1980]) ).
fof(f3448,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ssPv1(X1)
| ssPv4(X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X2)
| ~ ssPv2(X0)
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3447,f1130]) ).
fof(f3497,plain,
! [X0,X1] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ssPv4(skf1(X0))
| ~ ssRr(skf1(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f3398,f1127]) ).
fof(f3498,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f3497,f52]) ).
fof(f3519,plain,
! [X0,X1,X2] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssRr(X1,X2)
| ~ ssPv1(X2)
| ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f3498,f2436]) ).
fof(f3520,plain,
! [X0,X1,X2] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssRr(X1,X2)
| ~ ssPv1(X2)
| ~ ssRr(X0,X1)
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3519,f3312]) ).
fof(f3557,plain,
! [X0,X1,X2] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssRr(X1,X2)
| ~ ssPv1(X2)
| ~ ssRr(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f3520,f2501]) ).
fof(f3558,plain,
! [X0,X1] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssPv1(skf1(X1))
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f3557,f52]) ).
fof(f3569,plain,
! [X0,X1] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssRr(X0,X1)
| ssPv4(X1)
| ~ ssPv3(X1) ),
inference(resolution,[status(thm)],[f3558,f3053]) ).
fof(f3576,plain,
! [X0,X1] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ssPv2(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f3329,f3053]) ).
fof(f3577,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssPv4(skf1(X0))
| ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f3576,f52]) ).
fof(f3578,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ssPv2(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f3577,f3498]) ).
fof(f3579,plain,
! [X0,X1] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssRr(X0,X1)
| ssPv3(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f2494,f3578]) ).
fof(f3621,plain,
! [X0,X1] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssRr(X0,X1)
| ssPv4(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f3569,f3579]) ).
fof(f3674,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ssPv1(X1)
| ssPv4(X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X2)
| ~ ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3448,f3441]) ).
fof(f3675,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ssPv1(X1)
| ssPv4(X0)
| ~ ssRr(X0,X2)
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[f3674,f52]) ).
fof(f3679,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ssPv1(X1)
| ssPv4(X0)
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[f3675,f52]) ).
fof(f3704,plain,
! [X0,X1] :
( ssPv1(X0)
| ssPv4(X0)
| ssPv3(X0)
| ssPv2(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[f2877,f52]) ).
fof(f3708,plain,
! [X0] :
( ssPv1(X0)
| ssPv4(X0)
| ssPv3(X0)
| ssPv2(skf1(X0))
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[f3704,f52]) ).
fof(f3845,plain,
! [X0] :
( ssPv3(skf1(skf1(X0)))
| ssPv1(X0)
| ssPv2(X0)
| ~ ssPv4(X0)
| ssPv2(skf1(X0))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f1323,f52]) ).
fof(f3912,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X2)
| ssPv1(X1)
| ssPv3(X2)
| ssPv2(skf1(skf1(X2))) ),
inference(resolution,[status(thm)],[f1686,f52]) ).
fof(f3926,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X2)
| ssPv1(X1)
| ssPv3(X2)
| ~ ssRr(X2,X3)
| ~ ssPv1(X3)
| ~ ssPv4(X2)
| ssPv3(X2) ),
inference(resolution,[status(thm)],[f3912,f246]) ).
fof(f3927,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X2)
| ssPv1(X1)
| ssPv3(X2)
| ~ ssRr(X2,X3)
| ~ ssPv1(X3)
| ~ ssPv4(X2) ),
inference(duplicate_literals_removal,[status(esa)],[f3926]) ).
fof(f3928,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X2)
| ssPv1(X1)
| ssPv3(X2)
| ~ ssRr(X2,X3)
| ~ ssPv1(X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f3927,f2315]) ).
fof(f3961,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv1(X0)
| ssPv1(X1)
| ssPv3(X0)
| ~ ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f3928,f52]) ).
fof(f3965,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv1(skf1(skf1(X0)))
| ssPv3(X0)
| ~ ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f3961,f52]) ).
fof(f3975,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X2,X0)
| ssPv4(skf1(skf1(X2)))
| ssPv3(skf1(X2))
| ssPv1(X2) ),
inference(resolution,[status(thm)],[f630,f52]) ).
fof(f4068,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X2)
| ssPv4(X2)
| ssPv4(skf1(skf1(X2))) ),
inference(resolution,[status(thm)],[f2384,f52]) ).
fof(f4306,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X2,X0)
| ssPv3(skf1(X2))
| ssPv1(X2)
| ~ ssRr(X2,X3)
| ~ ssPv2(X3)
| ~ ssPv3(X2)
| ssPv1(X2) ),
inference(resolution,[status(thm)],[f3975,f252]) ).
fof(f4307,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X2,X0)
| ssPv3(skf1(X2))
| ssPv1(X2)
| ~ ssRr(X2,X3)
| ~ ssPv2(X3)
| ~ ssPv3(X2) ),
inference(duplicate_literals_removal,[status(esa)],[f4306]) ).
fof(f4308,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X2,X0)
| ssPv3(skf1(X2))
| ssPv1(X2)
| ~ ssRr(X2,X3)
| ~ ssPv3(X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f4307,f273]) ).
fof(f4364,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv1(X1)
| ssPv3(skf1(X0))
| ssPv1(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f4308,f52]) ).
fof(f4368,plain,
! [X0] :
( ~ ssPv1(skf1(skf1(X0)))
| ssPv3(skf1(X0))
| ssPv1(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f4364,f52]) ).
fof(f4388,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X2)
| ssPv3(X1)
| ssPv3(X2)
| ~ ssPv1(X0)
| ~ ssPv4(X2) ),
inference(factoring,[status(esa)],[f390]) ).
fof(f4466,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv3(X0)
| ssPv1(X1)
| ssPv4(X0)
| ~ ssPv2(skf1(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f415,f52]) ).
fof(f4470,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv1(skf1(skf1(X0)))
| ssPv4(X0)
| ~ ssPv2(skf1(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f4466,f52]) ).
fof(f4593,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(skf1(X0))
| ssPv4(X0)
| ssPv2(X2) ),
inference(factoring,[status(esa)],[f685]) ).
fof(f4671,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv3(X1)
| ssPv4(X0)
| ~ ssPv2(skf1(X0))
| ~ ssPv3(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f913,f52]) ).
fof(f4675,plain,
! [X0] :
( ~ ssPv3(skf1(skf1(X0)))
| ssPv4(X0)
| ~ ssPv2(skf1(X0))
| ~ ssPv3(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f4671,f52]) ).
fof(f4804,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ssPv3(X1)
| ssPv1(X2)
| ssPv2(X2)
| ~ ssPv3(X0)
| ~ ssPv4(X2) ),
inference(factoring,[status(esa)],[f1299]) ).
fof(f4807,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ssPv2(X2)
| ~ ssRr(X2,X3)
| ssPv1(X3)
| ssPv4(X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f1324,f3441]) ).
fof(f4812,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ssPv2(X2)
| ssPv1(X0)
| ssPv4(X2) ),
inference(factoring,[status(esa)],[f4807]) ).
fof(f4813,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ssPv1(X0)
| ssPv4(X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f4812,f3679]) ).
fof(f5088,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ssPv4(skf1(X1))
| ssPv4(X0)
| ~ ssPv1(X0)
| ssPv2(skf1(skf1(X0)))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f1474,f52]) ).
fof(f5089,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ssPv4(skf1(X1))
| ssPv4(X0)
| ~ ssPv1(X0)
| ssPv3(X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X2)
| ~ ssPv1(X0)
| ssPv3(X3)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f5088,f2163]) ).
fof(f5090,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ssPv4(skf1(X1))
| ssPv4(X0)
| ~ ssPv1(X0)
| ssPv3(X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X2)
| ssPv3(X3) ),
inference(duplicate_literals_removal,[status(esa)],[f5089]) ).
fof(f5091,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ssPv4(skf1(X1))
| ssPv4(X0)
| ~ ssPv1(X0)
| ssPv3(X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f5090,f1355]) ).
fof(f5130,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ssPv4(skf1(X1))
| ssPv4(X0)
| ~ ssPv1(X0)
| ssPv3(X0)
| ~ ssRr(X0,X2) ),
inference(resolution,[status(thm)],[f5091,f52]) ).
fof(f5133,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ssPv4(skf1(X1))
| ssPv4(X0)
| ~ ssPv1(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f5130,f52]) ).
fof(f5290,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv2(X2)
| ~ ssPv3(X2)
| ssPv2(X1)
| ~ ssPv2(skf1(X2))
| ssPv1(X2) ),
inference(resolution,[status(thm)],[f1882,f52]) ).
fof(f5745,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ~ ssPv3(skf1(X0))
| ssPv4(X0)
| ssPv2(X2) ),
inference(factoring,[status(esa)],[f866]) ).
fof(f5794,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ssPv4(X0)
| ssPv2(X2)
| ssPv1(skf1(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f5745,f3314]) ).
fof(f5795,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ssPv4(X0)
| ssPv2(X2)
| ssPv1(skf1(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f5794]) ).
fof(f5796,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ssPv4(X0)
| ssPv2(X2)
| ssPv1(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f5795,f3621]) ).
fof(f5802,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X2,X0)
| ssPv4(X0)
| ssPv2(X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f4593,f5796]) ).
fof(f5804,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv2(X1)
| ssPv4(skf1(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f5802,f52]) ).
fof(f5805,plain,
! [X0] :
( ~ ssPv2(skf1(skf1(X0)))
| ssPv4(skf1(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f5804,f52]) ).
fof(f5811,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv2(X0)
| ssPv1(X0)
| ssPv4(X0)
| ssPv3(X0)
| ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f5805,f2724]) ).
fof(f5812,plain,
! [X0] :
( ssPv2(X0)
| ssPv1(X0)
| ssPv4(X0)
| ssPv3(X0)
| ssPv2(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f5811,f3259]) ).
fof(f5813,plain,
! [X0,X1,X2] :
( ssPv4(skf1(X0))
| ssPv2(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ~ ssPv4(X0)
| ssPv3(X2) ),
inference(resolution,[status(thm)],[f5805,f1930]) ).
fof(f5814,plain,
! [X0,X1,X2] :
( ssPv2(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ~ ssPv4(X0)
| ssPv3(X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f5813,f198]) ).
fof(f5815,plain,
! [X0,X1,X2] :
( ssPv4(skf1(X0))
| ssPv2(X0)
| ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X0)
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f5805,f1500]) ).
fof(f5819,plain,
! [X0,X1,X2] :
( ssPv4(skf1(X0))
| ssPv2(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ssPv3(X2)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f5805,f365]) ).
fof(f5820,plain,
! [X0,X1,X2] :
( ssPv2(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ssPv3(X2)
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f5819,f198]) ).
fof(f5821,plain,
! [X0,X1] :
( ssPv4(skf1(X0))
| ssPv2(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f5805,f193]) ).
fof(f5822,plain,
! [X0,X1] :
( ssPv4(skf1(X0))
| ssPv2(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ssPv4(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f5821]) ).
fof(f5825,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv2(X0)
| ~ ssPv3(skf1(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f5805,f187]) ).
fof(f5826,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv2(X0)
| ~ ssPv3(skf1(X0))
| ssPv4(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f5825]) ).
fof(f5827,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv2(X0)
| ~ ssPv3(X0)
| ssPv1(skf1(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f5805,f185]) ).
fof(f5828,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv2(X0)
| ~ ssPv3(X0)
| ssPv1(skf1(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f5827]) ).
fof(f5831,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv2(X0)
| ssPv1(skf1(skf1(X0)))
| ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f5805,f3578]) ).
fof(f5832,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv2(X0)
| ssPv1(skf1(skf1(X0))) ),
inference(duplicate_literals_removal,[status(esa)],[f5831]) ).
fof(f5836,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv1(skf1(skf1(X0)))
| ssPv3(X0)
| ssPv2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1865,f5832]) ).
fof(f5840,plain,
! [X0,X1] :
( ssPv4(skf1(X0))
| ssPv2(X0)
| ~ ssRr(X0,X1)
| ssPv3(X1)
| ssPv2(skf1(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f5832,f545]) ).
fof(f5939,plain,
! [X0] :
( ssPv1(X0)
| ssPv4(X0)
| ssPv3(X0)
| ssPv2(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f5812,f3708]) ).
fof(f5941,plain,
! [X0] :
( ssPv3(skf1(skf1(X0)))
| ssPv1(X0)
| ssPv2(X0)
| ssPv2(skf1(X0))
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f3845,f5939]) ).
fof(f5951,plain,
! [X0,X1] :
( ssPv1(skf1(X0))
| ssPv4(skf1(X0))
| ssPv3(skf1(X0))
| ~ ssRr(skf1(X0),X1)
| ~ ssPv3(X1)
| ssPv1(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f5939,f2028]) ).
fof(f5952,plain,
! [X0,X1] :
( ssPv1(skf1(X0))
| ssPv4(skf1(X0))
| ~ ssRr(skf1(X0),X1)
| ~ ssPv3(X1)
| ssPv1(X0)
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f5951,f374]) ).
fof(f5969,plain,
! [X0,X1,X2] :
( ssPv1(X0)
| ssPv4(X0)
| ssPv3(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ssPv4(X2)
| ssPv3(X1)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f5939,f591]) ).
fof(f5970,plain,
! [X0,X1,X2] :
( ssPv1(X0)
| ssPv4(X0)
| ssPv3(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ssPv4(X2)
| ssPv3(X1) ),
inference(duplicate_literals_removal,[status(esa)],[f5969]) ).
fof(f5971,plain,
! [X0,X1,X2] :
( ssPv1(X0)
| ssPv4(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ssPv4(X2)
| ssPv3(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f5970,f1519]) ).
fof(f6061,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ssPv3(X1)
| ssPv2(X2)
| ~ ssPv3(X0)
| ~ ssPv4(X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f4804,f5814]) ).
fof(f6066,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X2)
| ssPv3(X1)
| ~ ssPv3(skf1(X2))
| ssPv2(X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f2303,f5814]) ).
fof(f6067,plain,
! [X0,X1] :
( ssPv2(X0)
| ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ~ ssPv4(X0)
| ssPv3(skf1(X1)) ),
inference(resolution,[status(thm)],[f5814,f52]) ).
fof(f6070,plain,
! [X0] :
( ssPv2(X0)
| ~ ssPv1(X0)
| ~ ssPv4(X0)
| ssPv3(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f6067,f52]) ).
fof(f6071,plain,
! [X0,X1] :
( ssPv3(skf1(skf1(X0)))
| ssPv2(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1239,f6070]) ).
fof(f6266,plain,
! [X0,X1] :
( ssPv2(X0)
| ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ssPv3(skf1(X1))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f5820,f52]) ).
fof(f6267,plain,
! [X0] :
( ssPv2(X0)
| ~ ssPv1(X0)
| ssPv3(skf1(skf1(X0)))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f6266,f52]) ).
fof(f6323,plain,
! [X0,X1] :
( ssPv1(X0)
| ssPv4(X0)
| ~ ssRr(X0,X1)
| ssPv4(skf1(X1))
| ssPv3(X1) ),
inference(resolution,[status(thm)],[f5971,f52]) ).
fof(f6324,plain,
! [X0] :
( ssPv1(X0)
| ssPv4(X0)
| ssPv4(skf1(skf1(X0)))
| ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f6323,f52]) ).
fof(f6334,plain,
! [X0] :
( ssPv1(X0)
| ssPv4(X0)
| ssPv3(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f6324,f1231]) ).
fof(f6335,plain,
! [X0] :
( ssPv1(X0)
| ssPv4(X0)
| ssPv3(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ssPv2(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f6334]) ).
fof(f6535,plain,
! [X0] :
( ssPv3(skf1(skf1(X0)))
| ssPv2(X0)
| ssPv2(skf1(X0))
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f5941,f6267]) ).
fof(f7089,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(skf1(X0))
| ~ ssPv1(X2)
| ssPv3(X0) ),
inference(factoring,[status(esa)],[f933]) ).
fof(f7423,plain,
! [X0,X1] :
( ssPv4(skf1(X0))
| ssPv2(X0)
| ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssPv3(X0)
| ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f5815,f52]) ).
fof(f7424,plain,
! [X0,X1] :
( ssPv4(skf1(X0))
| ssPv2(X0)
| ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssPv3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f7423]) ).
fof(f7433,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv2(X0)
| ~ ssPv2(skf1(X0))
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f7424,f52]) ).
fof(f7452,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ssPv2(skf1(X0))
| ~ ssPv3(skf1(X0))
| ~ ssPv3(skf1(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f7433,f187]) ).
fof(f7453,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ssPv2(skf1(X0))
| ~ ssPv3(skf1(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f7452]) ).
fof(f7800,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv4(skf1(X0))
| ~ ssPv3(skf1(skf1(X0)))
| ssPv1(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f5952,f52]) ).
fof(f7897,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ~ ssPv2(skf1(skf1(X2)))
| ~ ssPv1(skf1(X2))
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f968,f52]) ).
fof(f7898,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ~ ssPv2(skf1(skf1(X2)))
| ssPv4(X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f7897,f2491]) ).
fof(f7902,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ~ ssPv2(skf1(X0))
| ~ ssPv1(X0)
| ssPv4(X2) ),
inference(factoring,[status(esa)],[f968]) ).
fof(f7903,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ~ ssPv2(skf1(X0))
| ssPv4(X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f7902,f4813]) ).
fof(f7970,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ssPv4(X2)
| ~ ssPv3(skf1(X2))
| ssPv2(X2)
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f7898,f187]) ).
fof(f7971,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ssPv4(X2)
| ~ ssPv3(skf1(X2))
| ssPv2(X2) ),
inference(duplicate_literals_removal,[status(esa)],[f7970]) ).
fof(f7983,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv4(X1)
| ssPv4(X0)
| ~ ssPv3(skf1(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f7971,f52]) ).
fof(f8017,plain,
! [X0] :
( ~ ssPv4(skf1(skf1(X0)))
| ssPv4(X0)
| ~ ssPv3(skf1(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f7983,f52]) ).
fof(f8018,plain,
! [X0] :
( ssPv2(skf1(X0))
| ~ ssPv3(skf1(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f7453,f8017]) ).
fof(f8100,plain,
! [X0] :
( ssPv2(skf1(skf1(X0)))
| ssPv2(skf1(X0))
| ssPv4(skf1(X0))
| ssPv2(X0)
| ssPv2(skf1(X0))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f8018,f6535]) ).
fof(f8101,plain,
! [X0] :
( ssPv2(skf1(skf1(X0)))
| ssPv2(skf1(X0))
| ssPv4(skf1(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f8100]) ).
fof(f8102,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv4(skf1(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f8101,f5805]) ).
fof(f8105,plain,
! [X0,X1] :
( ssPv2(skf1(skf1(X0)))
| ssPv2(skf1(X0))
| ssPv4(skf1(X0))
| ssPv2(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[f8018,f6071]) ).
fof(f8106,plain,
! [X0,X1] :
( ssPv2(skf1(X0))
| ssPv4(skf1(X0))
| ssPv2(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f8105,f5805]) ).
fof(f8113,plain,
! [X0] :
( ssPv2(skf1(skf1(X0)))
| ssPv2(skf1(X0))
| ssPv4(skf1(X0))
| ssPv2(X0)
| ~ ssPv1(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[f8018,f6070]) ).
fof(f8114,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv4(skf1(X0))
| ssPv2(X0)
| ~ ssPv1(X0)
| ~ ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f8113,f5805]) ).
fof(f8137,plain,
! [X0] :
( ssPv2(X0)
| ssPv2(skf1(X0))
| ssPv3(X0)
| ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f3259,f8102]) ).
fof(f8160,plain,
! [X0,X1,X2] :
( ssPv2(skf1(X0))
| ssPv2(X0)
| ssPv3(X0)
| ~ ssRr(X1,X2)
| ~ ssPv1(X2)
| ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f8102,f2436]) ).
fof(f8161,plain,
! [X0,X1,X2] :
( ssPv2(skf1(X0))
| ssPv2(X0)
| ssPv3(X0)
| ~ ssRr(X1,X2)
| ~ ssPv1(X2)
| ~ ssRr(X0,X1)
| ~ ssPv3(X1) ),
inference(duplicate_literals_removal,[status(esa)],[f8160]) ).
fof(f8162,plain,
! [X0,X1,X2] :
( ssPv2(skf1(X0))
| ssPv2(X0)
| ssPv3(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssPv3(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f8161,f155]) ).
fof(f8195,plain,
! [X0,X1,X2] :
( ssPv2(X0)
| ssPv3(X0)
| ssPv1(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssPv4(X0)
| ssPv3(X2)
| ssPv3(X1) ),
inference(resolution,[status(thm)],[f8137,f1465]) ).
fof(f8196,plain,
! [X0,X1,X2] :
( ssPv2(X0)
| ssPv3(X0)
| ssPv1(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssPv4(X0)
| ssPv3(X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f8195,f6061]) ).
fof(f8212,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssPv2(X4)
| ~ ssRr(X2,X3)
| ssPv4(X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f971,f2491]) ).
fof(f8214,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X3)
| ~ ssPv2(X3)
| ~ ssRr(X0,X2)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f8212,f52]) ).
fof(f8341,plain,
! [X0,X1] :
( ssPv2(skf1(X0))
| ssPv2(X0)
| ssPv3(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(X1) ),
inference(resolution,[status(thm)],[f8162,f52]) ).
fof(f8342,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv2(X0)
| ssPv3(X0)
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f8341,f52]) ).
fof(f8350,plain,
! [X0] :
( ssPv2(skf1(skf1(X0)))
| ssPv2(skf1(X0))
| ssPv3(skf1(X0))
| ssPv2(X0)
| ssPv2(skf1(X0))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f8342,f6535]) ).
fof(f8351,plain,
! [X0] :
( ssPv2(skf1(skf1(X0)))
| ssPv2(skf1(X0))
| ssPv3(skf1(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f8350]) ).
fof(f8352,plain,
! [X0] :
( ssPv2(skf1(skf1(X0)))
| ssPv2(skf1(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f8351,f8342]) ).
fof(f8387,plain,
! [X0,X1] :
( ssPv2(skf1(X0))
| ssPv2(X0)
| ssPv3(X0)
| ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssPv4(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f8352,f246]) ).
fof(f8388,plain,
! [X0,X1] :
( ssPv2(skf1(X0))
| ssPv2(X0)
| ssPv3(X0)
| ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssPv4(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f8387]) ).
fof(f8477,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv2(X0)
| ssPv3(X0)
| ~ ssPv1(skf1(X0))
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[f8388,f52]) ).
fof(f8595,plain,
! [X0,X1] :
( ssPv2(skf1(X0))
| ssPv4(skf1(X0))
| ssPv2(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f8106,f5822]) ).
fof(f8596,plain,
! [X0,X1] :
( ssPv4(skf1(X0))
| ssPv2(X0)
| ~ ssRr(X0,X1)
| ssPv2(skf1(X0))
| ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f5840,f8595]) ).
fof(f8598,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv2(X0)
| ssPv2(skf1(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f8596,f52]) ).
fof(f8609,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv4(skf1(X0))
| ssPv2(X0)
| ~ ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f8114,f8598]) ).
fof(f8759,plain,
! [X0,X1,X2] :
( ssPv2(X0)
| ssPv3(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssPv4(X0)
| ssPv3(X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f8196,f5820]) ).
fof(f8760,plain,
! [X0,X1] :
( ssPv2(X0)
| ssPv3(X0)
| ~ ssRr(X0,X1)
| ~ ssPv4(X0)
| ssPv3(skf1(X1)) ),
inference(resolution,[status(thm)],[f8759,f52]) ).
fof(f8761,plain,
! [X0] :
( ssPv2(X0)
| ssPv3(X0)
| ~ ssPv4(X0)
| ssPv3(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f8760,f52]) ).
fof(f8762,plain,
! [X0] :
( ssPv2(X0)
| ssPv3(X0)
| ~ ssPv4(X0)
| ssPv1(skf1(X0))
| ssPv4(skf1(X0))
| ssPv1(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f8761,f7800]) ).
fof(f8763,plain,
! [X0] :
( ssPv2(X0)
| ssPv3(X0)
| ~ ssPv4(X0)
| ssPv1(skf1(X0))
| ssPv4(skf1(X0))
| ssPv1(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f8762]) ).
fof(f8764,plain,
! [X0] :
( ssPv2(X0)
| ~ ssPv4(X0)
| ssPv1(skf1(X0))
| ssPv4(skf1(X0))
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f8763,f5828]) ).
fof(f8856,plain,
! [X0] :
( ssPv2(X0)
| ssPv1(skf1(X0))
| ssPv4(skf1(X0))
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f8764,f3498]) ).
fof(f9050,plain,
! [X0,X1,X2] :
( ~ ssPv4(skf1(skf1(X0)))
| ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssRr(X0,X1)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f8214,f52]) ).
fof(f9051,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X2)
| ssPv4(X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f4068,f9050]) ).
fof(f9098,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv2(X1)
| ~ ssPv1(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f9051,f52]) ).
fof(f9099,plain,
! [X0] :
( ~ ssPv2(skf1(skf1(X0)))
| ~ ssPv1(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f9098,f52]) ).
fof(f9110,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv4(X0)
| ssPv2(skf1(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f9099,f8352]) ).
fof(f9111,plain,
! [X0] :
( ssPv4(X0)
| ssPv2(skf1(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f9110,f8137]) ).
fof(f9118,plain,
! [X0,X1,X2] :
( ~ ssPv1(X0)
| ssPv4(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ~ ssPv3(X0)
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f9099,f1875]) ).
fof(f9120,plain,
! [X0,X1] :
( ~ ssPv1(X0)
| ssPv4(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ssPv2(skf1(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f9099,f1273]) ).
fof(f9121,plain,
! [X0,X1] :
( ~ ssPv1(X0)
| ssPv4(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ssPv2(skf1(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f9120]) ).
fof(f9126,plain,
! [X0,X1,X2] :
( ~ ssPv1(X0)
| ssPv4(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ssPv3(X2)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f9099,f365]) ).
fof(f9127,plain,
! [X0,X1,X2] :
( ~ ssPv1(X0)
| ssPv4(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ssPv3(X2)
| ssPv3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f9126]) ).
fof(f9128,plain,
! [X0,X1] :
( ~ ssPv1(X0)
| ssPv4(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f9099,f193]) ).
fof(f9129,plain,
! [X0,X1] :
( ~ ssPv1(X0)
| ssPv4(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ssPv2(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f9128]) ).
fof(f9137,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv2(X0)
| ssPv3(X0)
| ~ ssPv1(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f8477,f9111]) ).
fof(f9195,plain,
! [X0] :
( ssPv2(skf1(skf1(X0)))
| ssPv2(skf1(X0))
| ssPv3(skf1(X0))
| ~ ssPv1(X0)
| ssPv4(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f9137,f2369]) ).
fof(f9196,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv3(skf1(X0))
| ~ ssPv1(X0)
| ssPv4(X0)
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f9195,f9099]) ).
fof(f9208,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv4(X0)
| ~ ssPv3(skf1(X0))
| ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f9121,f52]) ).
fof(f9314,plain,
! [X0] :
( ssPv2(skf1(X0))
| ~ ssPv1(X0)
| ssPv4(X0)
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f9196,f9208]) ).
fof(f9315,plain,
! [X0] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv2(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f5939,f9314]) ).
fof(f9316,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ssPv4(skf1(X0))
| ssPv3(skf1(X0))
| ~ ssPv1(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f9314,f9099]) ).
fof(f9317,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv3(skf1(X0))
| ~ ssPv1(X0)
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f9316,f3498]) ).
fof(f9357,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv3(skf1(X0))
| ssPv4(skf1(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f9315,f5805]) ).
fof(f9358,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv3(skf1(X0))
| ssPv2(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f9357]) ).
fof(f9388,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f5826,f9358]) ).
fof(f9397,plain,
! [X0] :
( ssPv3(skf1(skf1(X0)))
| ssPv2(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f9358,f1231]) ).
fof(f9398,plain,
! [X0] :
( ssPv3(skf1(skf1(X0)))
| ssPv2(skf1(X0))
| ssPv1(X0)
| ssPv2(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f9397]) ).
fof(f9420,plain,
! [X0,X1,X2] :
( ssPv3(skf1(X0))
| ssPv2(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ssPv3(X2)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f9358,f198]) ).
fof(f9421,plain,
! [X0,X1,X2] :
( ssPv3(skf1(X0))
| ssPv2(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ssPv3(X2) ),
inference(duplicate_literals_removal,[status(esa)],[f9420]) ).
fof(f9422,plain,
! [X0,X1,X2] :
( ssPv2(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ssPv3(X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f9421,f6066]) ).
fof(f9427,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv4(skf1(X0))
| ssPv2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f8609,f9388]) ).
fof(f9458,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv2(X0)
| ~ ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f7433,f9427]) ).
fof(f9490,plain,
! [X0,X1,X2] :
( ssPv2(skf1(X0))
| ~ ssPv3(skf1(X0))
| ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssRr(X0,X1)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f9458,f9050]) ).
fof(f9491,plain,
! [X0,X1,X2] :
( ssPv2(skf1(X0))
| ~ ssPv3(skf1(X0))
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f9490,f284]) ).
fof(f9566,plain,
! [X0] :
( ssPv3(skf1(skf1(X0)))
| ~ ssPv1(skf1(X0))
| ssPv4(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f9317,f1231]) ).
fof(f9567,plain,
! [X0] :
( ssPv3(skf1(skf1(X0)))
| ~ ssPv1(skf1(X0))
| ssPv4(skf1(X0))
| ssPv1(X0)
| ssPv2(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f9566]) ).
fof(f9568,plain,
! [X0] :
( ssPv3(skf1(skf1(X0)))
| ssPv4(skf1(X0))
| ssPv1(X0)
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f9567,f8856]) ).
fof(f9665,plain,
! [X0,X1,X2] :
( ~ ssPv4(skf1(skf1(X0)))
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ssPv3(X2)
| ssPv2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1225,f9422]) ).
fof(f9668,plain,
! [X0,X1] :
( ssPv2(X0)
| ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ssPv3(skf1(X1)) ),
inference(resolution,[status(thm)],[f9422,f52]) ).
fof(f9675,plain,
! [X0] :
( ssPv2(X0)
| ~ ssPv1(X0)
| ssPv3(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f9668,f52]) ).
fof(f9677,plain,
! [X0] :
( ssPv4(X0)
| ssPv3(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ssPv2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f6335,f9675]) ).
fof(f9767,plain,
! [X0] :
( ssPv3(skf1(skf1(X0)))
| ssPv2(skf1(X0))
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f9398,f9675]) ).
fof(f9869,plain,
! [X0] :
( ssPv3(skf1(skf1(X0)))
| ssPv4(skf1(X0))
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f9568,f9675]) ).
fof(f10447,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X2)
| ssPv3(X1)
| ssPv3(X2)
| ~ ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f4388,f9127]) ).
fof(f10852,plain,
! [X0,X1,X2] :
( ssPv2(skf1(skf1(X0)))
| ~ ssRr(X1,X2)
| ~ ssRr(skf1(X0),X1)
| ssPv4(skf1(X0))
| ssPv4(skf1(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f9491,f9869]) ).
fof(f10853,plain,
! [X0,X1,X2] :
( ssPv2(skf1(skf1(X0)))
| ~ ssRr(X1,X2)
| ~ ssRr(skf1(X0),X1)
| ssPv4(skf1(X0))
| ssPv2(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f10852]) ).
fof(f10854,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(skf1(X2),X0)
| ssPv4(skf1(X2))
| ssPv2(X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f10853,f5805]) ).
fof(f10874,plain,
! [X0,X1] :
( ~ ssRr(skf1(skf1(X0)),X1)
| ssPv4(skf1(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f10854,f52]) ).
fof(f10875,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f10874,f52]) ).
fof(f10879,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv3(X3)
| ssPv2(X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f522,f10875]) ).
fof(f10881,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssPv3(X3)
| ssPv2(X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f493,f10875]) ).
fof(f10895,plain,
! [X0,X1,X2,X3] :
( ssPv2(X0)
| ~ ssRr(X1,X2)
| ~ ssPv3(X2)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,X3)
| ~ ssPv3(X3)
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[f10875,f555]) ).
fof(f10896,plain,
! [X0,X1,X2,X3] :
( ssPv2(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,X3)
| ~ ssPv3(X3)
| ~ ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f10895,f9422]) ).
fof(f11120,plain,
! [X0,X1,X2] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv4(X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X2)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f10879,f52]) ).
fof(f11123,plain,
! [X0,X1] :
( ~ ssPv4(skf1(skf1(X0)))
| ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f11120,f52]) ).
fof(f11138,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ssPv2(X0)
| ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f11123,f10875]) ).
fof(f11142,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv2(X0)
| ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f11138,f52]) ).
fof(f11200,plain,
! [X0,X1,X2] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv1(X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X2)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f10881,f52]) ).
fof(f11203,plain,
! [X0,X1] :
( ~ ssPv1(skf1(skf1(X0)))
| ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f11200,f52]) ).
fof(f11207,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ssPv2(X0)
| ~ ssPv1(X0)
| ssPv3(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f11203,f5836]) ).
fof(f11208,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ssPv2(X0)
| ~ ssPv1(X0)
| ssPv3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f11207]) ).
fof(f11238,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv2(X0)
| ~ ssPv1(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f11208,f52]) ).
fof(f11248,plain,
! [X0] :
( ssPv2(skf1(X0))
| ~ ssPv1(skf1(X0))
| ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f11238,f9767]) ).
fof(f11249,plain,
! [X0] :
( ssPv2(skf1(X0))
| ~ ssPv1(skf1(X0))
| ssPv3(skf1(X0))
| ssPv2(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f11248]) ).
fof(f11250,plain,
! [X0] :
( ssPv2(skf1(X0))
| ~ ssPv1(skf1(X0))
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f11249,f11142]) ).
fof(f11262,plain,
! [X0] :
( ssPv2(skf1(X0))
| ~ ssPv1(skf1(X0))
| ssPv3(skf1(X0))
| ~ ssPv3(X0)
| ssPv3(skf1(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f11238,f189]) ).
fof(f11263,plain,
! [X0] :
( ssPv2(skf1(X0))
| ~ ssPv1(skf1(X0))
| ssPv3(skf1(X0))
| ~ ssPv3(X0)
| ssPv4(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f11262]) ).
fof(f11264,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv3(skf1(X0))
| ~ ssPv3(X0)
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f11263,f3578]) ).
fof(f11344,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv3(skf1(X0))
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f11264,f9315]) ).
fof(f11348,plain,
! [X0,X1,X2] :
( ssPv2(skf1(X0))
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f9491,f11344]) ).
fof(f11349,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv4(X0)
| ssPv2(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f9208,f11344]) ).
fof(f11406,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ssPv4(skf1(X0))
| ~ ssPv1(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f11349,f9099]) ).
fof(f11407,plain,
! [X0] :
( ssPv4(skf1(X0))
| ~ ssPv1(X0)
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f11406,f3498]) ).
fof(f11432,plain,
! [X0,X1,X2] :
( ~ ssPv1(X0)
| ssPv4(X0)
| ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f11349,f7903]) ).
fof(f11433,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ssPv4(X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f11432,f4813]) ).
fof(f11515,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ssPv2(X1)
| ssPv1(X4)
| ssPv4(X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f654,f11348]) ).
fof(f11516,plain,
! [X0,X1] :
( ssPv2(skf1(X0))
| ~ ssRr(X0,X1)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f11348,f52]) ).
fof(f11518,plain,
! [X0,X1] :
( ssPv4(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(X0)
| ssPv3(X1)
| ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1539,f11516]) ).
fof(f11520,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f11516,f52]) ).
fof(f11521,plain,
! [X0] :
( ~ ssPv3(skf1(skf1(X0)))
| ssPv4(X0)
| ~ ssPv3(X0)
| ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f4675,f11520]) ).
fof(f11523,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv1(skf1(skf1(X0)))
| ssPv4(X0)
| ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f4470,f11520]) ).
fof(f11530,plain,
! [X0,X1,X2] :
( ssPv4(skf1(X0))
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ssPv3(X2)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f11520,f1980]) ).
fof(f11531,plain,
! [X0,X1,X2] :
( ssPv4(skf1(X0))
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ssPv3(X2)
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f11530,f10875]) ).
fof(f11532,plain,
! [X0,X1] :
( ssPv4(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssPv4(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f11520,f246]) ).
fof(f11543,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ~ ssPv3(X0)
| ssPv2(X2)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f11520,f5290]) ).
fof(f11557,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ~ ssPv3(X0)
| ssPv1(X0)
| ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f11521,f1992]) ).
fof(f11558,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ~ ssPv3(X0)
| ssPv1(X0)
| ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssRr(X0,X1)
| ~ ssPv2(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f11557]) ).
fof(f11559,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ~ ssPv3(X0)
| ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssRr(X0,X1)
| ~ ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f11558,f9051]) ).
fof(f11566,plain,
! [X0,X1] :
( ~ ssPv3(X0)
| ssPv4(X0)
| ssPv1(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f11523,f11203]) ).
fof(f11567,plain,
! [X0,X1] :
( ~ ssPv3(X0)
| ssPv4(X0)
| ssPv1(X0)
| ~ ssRr(X0,X1)
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f11566,f11518]) ).
fof(f11600,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv4(X0)
| ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f11567,f52]) ).
fof(f11625,plain,
! [X0,X1] :
( ssPv4(skf1(X0))
| ~ ssRr(skf1(X0),X1)
| ~ ssPv4(X1)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f11433,f52]) ).
fof(f11626,plain,
! [X0] :
( ssPv4(skf1(X0))
| ~ ssPv4(skf1(skf1(X0)))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f11625,f52]) ).
fof(f11644,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv4(X0)
| ~ ssPv1(skf1(X0))
| ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f11626,f11407]) ).
fof(f11645,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv4(X0)
| ~ ssPv1(skf1(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f11644]) ).
fof(f11646,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f11645,f3498]) ).
fof(f11661,plain,
! [X0,X1] :
( ssPv4(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssPv3(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f11646,f252]) ).
fof(f11672,plain,
! [X0,X1] :
( ssPv4(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f11532,f11646]) ).
fof(f11673,plain,
! [X0] :
( ssPv4(skf1(X0))
| ~ ssPv1(skf1(X0))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f11672,f52]) ).
fof(f11674,plain,
! [X0] :
( ssPv4(skf1(X0))
| ~ ssPv3(skf1(skf1(X0)))
| ssPv1(X0)
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f7800,f11673]) ).
fof(f11724,plain,
! [X0] :
( ssPv4(skf1(X0))
| ~ ssPv2(skf1(X0))
| ~ ssPv3(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f11661,f52]) ).
fof(f11732,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ssPv1(skf1(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f11724,f3375]) ).
fof(f11733,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ssPv4(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f11732]) ).
fof(f11734,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f11733,f2500]) ).
fof(f11754,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f11734,f3314]) ).
fof(f11755,plain,
! [X0] :
( ssPv1(skf1(skf1(X0)))
| ssPv3(X0)
| ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f163,f11754]) ).
fof(f11757,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ssPv1(X1)
| ssPv3(X2)
| ssPv4(X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f161,f11754]) ).
fof(f11781,plain,
! [X0] :
( ssPv1(skf1(skf1(X0)))
| ssPv4(X0)
| ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f11523,f11755]) ).
fof(f11810,plain,
! [X0,X1] :
( ssPv4(X0)
| ssPv1(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f11781,f11203]) ).
fof(f11811,plain,
! [X0,X1] :
( ssPv4(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f11810,f9129]) ).
fof(f11845,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ssPv3(X1)
| ssPv2(X2)
| ~ ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f6061,f11811]) ).
fof(f11848,plain,
! [X0] :
( ssPv4(X0)
| ~ ssPv3(skf1(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f11811,f52]) ).
fof(f11853,plain,
! [X0,X1] :
( ~ ssPv3(skf1(X0))
| ~ ssRr(X0,X1)
| ssPv1(X1)
| ssPv1(X0)
| ssPv2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1801,f11848]) ).
fof(f11855,plain,
! [X0] :
( ssPv4(X0)
| ssPv3(skf1(skf1(X0)))
| ssPv2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f9677,f11848]) ).
fof(f11886,plain,
! [X0,X1] :
( ssPv4(X0)
| ssPv2(X0)
| ~ ssRr(X0,X1)
| ssPv4(skf1(X1))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f11855,f1472]) ).
fof(f11887,plain,
! [X0,X1] :
( ssPv4(X0)
| ssPv2(X0)
| ~ ssRr(X0,X1)
| ssPv4(skf1(X1)) ),
inference(duplicate_literals_removal,[status(esa)],[f11886]) ).
fof(f11888,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ssPv2(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ssPv4(X2)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f11855,f1359]) ).
fof(f11889,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ssPv2(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ssPv4(X2) ),
inference(duplicate_literals_removal,[status(esa)],[f11888]) ).
fof(f12013,plain,
! [X0] :
( ssPv4(X0)
| ssPv2(X0)
| ssPv4(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f11887,f52]) ).
fof(f12016,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ssPv2(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ssPv3(X2)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f12013,f9665]) ).
fof(f12017,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ssPv2(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ssPv3(X2) ),
inference(duplicate_literals_removal,[status(esa)],[f12016]) ).
fof(f12020,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ssPv2(X0)
| ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssRr(X0,X1)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f12013,f9050]) ).
fof(f12021,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ssPv2(X0)
| ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssRr(X0,X1) ),
inference(duplicate_literals_removal,[status(esa)],[f12020]) ).
fof(f12048,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ssPv4(skf1(skf1(X2)))
| ssPv1(X1)
| ssPv4(X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f412,f11757]) ).
fof(f12185,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ssPv1(X1)
| ssPv1(skf1(X0))
| ssPv2(skf1(X0))
| ssPv2(skf1(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f11853,f9767]) ).
fof(f12186,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ssPv1(X1)
| ssPv1(skf1(X0))
| ssPv2(skf1(X0))
| ssPv2(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f12185]) ).
fof(f12187,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ssPv1(X1)
| ssPv2(skf1(X0))
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f12186,f11250]) ).
fof(f12202,plain,
! [X0] :
( ssPv1(skf1(skf1(X0)))
| ssPv2(skf1(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f12187,f52]) ).
fof(f12205,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv2(X0)
| ssPv3(skf1(X0))
| ssPv1(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f12202,f4368]) ).
fof(f12206,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv2(X0)
| ssPv1(X0)
| ~ ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f12205,f11142]) ).
fof(f12236,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv2(X0)
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f12206,f8137]) ).
fof(f12266,plain,
! [X0,X1,X2] :
( ssPv2(X0)
| ssPv1(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssPv4(X0)
| ssPv3(X2)
| ssPv3(X1) ),
inference(resolution,[status(thm)],[f12236,f1465]) ).
fof(f12267,plain,
! [X0,X1,X2] :
( ssPv2(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssPv4(X0)
| ssPv3(X2)
| ssPv3(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12266,f9422]) ).
fof(f12318,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ssPv3(X4)
| ssPv1(X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f928,f11531]) ).
fof(f12319,plain,
! [X0,X1] :
( ssPv4(skf1(X0))
| ~ ssRr(X0,X1)
| ssPv3(skf1(X1))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f11531,f52]) ).
fof(f12320,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f12319,f52]) ).
fof(f12321,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv1(X0)
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f11674,f12320]) ).
fof(f12338,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv1(X0)
| ssPv4(skf1(X0))
| ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f12320,f11848]) ).
fof(f12339,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv1(X0)
| ssPv2(skf1(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f12338]) ).
fof(f12366,plain,
! [X0] :
( ssPv4(skf1(X0))
| ~ ssPv2(skf1(X0))
| ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f11724,f12321]) ).
fof(f12398,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f12366,f12339]) ).
fof(f12411,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X2)
| ssPv3(X3)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f12318,f52]) ).
fof(f12582,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ~ ssPv3(X0)
| ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssRr(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f11559,f12021]) ).
fof(f12587,plain,
! [X0,X1] :
( ssPv4(X0)
| ~ ssPv3(X0)
| ~ ssPv2(skf1(X1))
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f12582,f52]) ).
fof(f12662,plain,
! [X0,X1,X2] :
( ssPv2(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ssPv3(X2)
| ssPv3(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12267,f12017]) ).
fof(f12663,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ssPv3(X1)
| ssPv2(X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f11845,f12662]) ).
fof(f12668,plain,
! [X0,X1,X2] :
( ~ ssPv2(skf1(skf1(X0)))
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ssPv3(X2)
| ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1980,f12663]) ).
fof(f12670,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ssPv3(X4)
| ssPv1(X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f96,f12663]) ).
fof(f12671,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ssPv3(X1)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f12663,f52]) ).
fof(f12674,plain,
! [X0] :
( ssPv3(skf1(skf1(X0)))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f12671,f52]) ).
fof(f12675,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X2,X0)
| ssPv3(skf1(skf1(X2)))
| ssPv1(X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f1992,f12674]) ).
fof(f12746,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssPv2(X4)
| ~ ssRr(X2,X3)
| ssPv1(X2)
| ssPv3(X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f98,f12670]) ).
fof(f12767,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv2(skf1(X3))
| ~ ssRr(X2,X3)
| ssPv1(X2)
| ssPv3(X2) ),
inference(resolution,[status(thm)],[f12746,f52]) ).
fof(f12771,plain,
! [X0,X1,X2] :
( ssPv2(X0)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X2)
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[f10896,f52]) ).
fof(f12773,plain,
! [X0,X1] :
( ssPv2(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(skf1(X0))
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[f12771,f52]) ).
fof(f12991,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ssPv1(X1)
| ssPv4(X2)
| ~ ssRr(X3,X4)
| ~ ssPv2(X4)
| ~ ssRr(X2,X3)
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f12048,f9050]) ).
fof(f12992,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ssPv1(X1)
| ssPv4(X2)
| ~ ssRr(X3,X4)
| ~ ssPv2(X4)
| ~ ssRr(X2,X3) ),
inference(duplicate_literals_removal,[status(esa)],[f12991]) ).
fof(f12993,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ssPv1(X1)
| ssPv4(X2)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f12992,f11515]) ).
fof(f13120,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X2,X0)
| ssPv1(X2)
| ssPv3(X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f2027,f12675]) ).
fof(f13161,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv2(X1)
| ssPv1(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f13120,f52]) ).
fof(f13162,plain,
! [X0] :
( ~ ssPv2(skf1(skf1(X0)))
| ssPv1(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f13161,f52]) ).
fof(f13580,plain,
! [X0,X1,X2] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv2(skf1(X2))
| ~ ssRr(X0,X2)
| ssPv1(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f12767,f52]) ).
fof(f13626,plain,
! [X0,X1] :
( ~ ssPv2(skf1(X0))
| ~ ssRr(X1,X0)
| ssPv1(X1)
| ssPv3(X1) ),
inference(resolution,[status(thm)],[f13580,f52]) ).
fof(f13679,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ssPv1(X1)
| ssPv4(X2)
| ~ ssRr(X2,X3) ),
inference(resolution,[status(thm)],[f12993,f52]) ).
fof(f13684,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ssPv1(X1)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f13679,f52]) ).
fof(f13688,plain,
! [X0] :
( ssPv1(skf1(skf1(X0)))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f13684,f52]) ).
fof(f13734,plain,
! [X0,X1,X2] :
( ~ ssPv1(X0)
| ssPv4(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssPv3(X0)
| ssPv4(X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f9118,f11889]) ).
fof(f13736,plain,
! [X0,X1] :
( ~ ssPv1(X0)
| ssPv4(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(X0)
| ssPv4(skf1(X1)) ),
inference(resolution,[status(thm)],[f13734,f52]) ).
fof(f13737,plain,
! [X0,X1] :
( ~ ssPv1(X0)
| ssPv4(X0)
| ~ ssRr(X0,X1)
| ssPv4(skf1(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f13736,f5133]) ).
fof(f13914,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ~ ssPv3(X0)
| ssPv2(X2)
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f11543,f11600]) ).
fof(f13915,plain,
! [X0,X1] :
( ssPv4(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(X0)
| ssPv2(skf1(X1))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f13914,f52]) ).
fof(f13916,plain,
! [X0,X1] :
( ssPv4(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(X0)
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f13915,f12587]) ).
fof(f13919,plain,
! [X0] :
( ssPv4(X0)
| ~ ssPv3(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f13916,f52]) ).
fof(f14024,plain,
! [X0,X1,X2] :
( ~ ssPv4(skf1(skf1(X0)))
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ssPv3(X2)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f12411,f52]) ).
fof(f14040,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ssPv3(X1)
| ssPv1(X2)
| ssPv1(skf1(X2)) ),
inference(resolution,[status(thm)],[f14024,f12398]) ).
fof(f14042,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ssPv3(X1)
| ssPv1(X2)
| ssPv2(skf1(X2)) ),
inference(resolution,[status(thm)],[f14024,f10875]) ).
fof(f14046,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ssPv3(X1)
| ssPv1(X0)
| ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f14040,f52]) ).
fof(f14047,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f374,f14046]) ).
fof(f14112,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ssPv3(X1)
| ssPv1(X0)
| ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f14042,f52]) ).
fof(f14113,plain,
! [X0] :
( ssPv3(skf1(skf1(X0)))
| ssPv1(X0)
| ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f14112,f52]) ).
fof(f14150,plain,
! [X0] :
( ssPv1(X0)
| ssPv2(skf1(X0))
| ssPv2(skf1(X0))
| ssPv2(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f14113,f11142]) ).
fof(f14151,plain,
! [X0] :
( ssPv1(X0)
| ssPv2(skf1(X0))
| ssPv2(skf1(skf1(X0))) ),
inference(duplicate_literals_removal,[status(esa)],[f14150]) ).
fof(f14203,plain,
! [X0] :
( ssPv1(X0)
| ssPv2(skf1(X0))
| ssPv1(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f14151,f13162]) ).
fof(f14204,plain,
! [X0] :
( ssPv1(X0)
| ssPv2(skf1(X0))
| ssPv3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f14203]) ).
fof(f14242,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv3(skf1(X0))
| ssPv1(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f14204,f13162]) ).
fof(f14387,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f14047,f52]) ).
fof(f14388,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f14242,f14387]) ).
fof(f14412,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv3(skf1(X0))
| ssPv3(skf1(X0))
| ssPv1(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f14388,f4368]) ).
fof(f14413,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv3(skf1(X0))
| ssPv1(X0)
| ~ ssPv3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f14412]) ).
fof(f14414,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv1(X0)
| ~ ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f14413,f14387]) ).
fof(f14425,plain,
! [X0,X1,X2] :
( ssPv1(X0)
| ssPv3(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X2)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f14388,f7089]) ).
fof(f14426,plain,
! [X0,X1,X2] :
( ssPv1(X0)
| ssPv3(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X2) ),
inference(duplicate_literals_removal,[status(esa)],[f14425]) ).
fof(f14433,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f14414,f14388]) ).
fof(f14434,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv1(skf1(skf1(X0)))
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f3965,f14433]) ).
fof(f14454,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv3(X0)
| ssPv2(skf1(skf1(X0)))
| ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f14434,f11250]) ).
fof(f14455,plain,
! [X0] :
( ssPv3(X0)
| ssPv2(skf1(skf1(X0)))
| ssPv2(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f14454,f14204]) ).
fof(f14479,plain,
! [X0,X1] :
( ssPv3(X0)
| ssPv2(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssPv4(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f14455,f246]) ).
fof(f14480,plain,
! [X0,X1] :
( ssPv3(X0)
| ssPv2(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssPv4(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f14479]) ).
fof(f14481,plain,
! [X0,X1] :
( ssPv3(X0)
| ssPv2(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv1(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14480,f11520]) ).
fof(f14506,plain,
! [X0] :
( ssPv3(X0)
| ssPv2(skf1(X0))
| ~ ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f14481,f52]) ).
fof(f14511,plain,
! [X0] :
( ssPv3(skf1(X0))
| ssPv2(skf1(skf1(X0)))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f14506,f13688]) ).
fof(f14523,plain,
! [X0] :
( ssPv3(skf1(X0))
| ssPv4(X0)
| ssPv1(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f14511,f13162]) ).
fof(f14524,plain,
! [X0] :
( ssPv3(skf1(X0))
| ssPv4(X0)
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f14523,f13919]) ).
fof(f14530,plain,
! [X0] :
( ssPv3(skf1(X0))
| ssPv4(X0)
| ~ ssPv1(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f14511,f9099]) ).
fof(f14531,plain,
! [X0] :
( ssPv3(skf1(X0))
| ssPv4(X0)
| ~ ssPv1(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f14530]) ).
fof(f14657,plain,
! [X0] :
( ssPv3(skf1(X0))
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f14531,f14524]) ).
fof(f14665,plain,
! [X0] :
( ssPv4(X0)
| ssPv2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f11848,f14657]) ).
fof(f14711,plain,
! [X0,X1,X2] :
( ssPv2(skf1(skf1(X0)))
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1)
| ssPv3(X2)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f14665,f14024]) ).
fof(f14712,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ssPv3(X1)
| ssPv1(X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f14711,f12668]) ).
fof(f14740,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ssPv3(X1)
| ssPv3(X2)
| ~ ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f10447,f14712]) ).
fof(f14752,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ssPv3(X1)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f14712,f52]) ).
fof(f14779,plain,
! [X0] :
( ssPv3(skf1(skf1(X0)))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f14752,f52]) ).
fof(f14788,plain,
! [X0,X1] :
( ssPv1(X0)
| ~ ssRr(X0,X1)
| ssPv4(skf1(X1))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f14779,f1472]) ).
fof(f14789,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ssPv4(skf1(X1))
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f14788,f13737]) ).
fof(f14797,plain,
! [X0,X1] :
( ssPv1(X0)
| ssPv2(skf1(X0))
| ~ ssRr(skf1(X0),X1)
| ~ ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f14779,f12773]) ).
fof(f14798,plain,
! [X0,X1] :
( ssPv1(X0)
| ssPv2(skf1(X0))
| ~ ssRr(skf1(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14797,f14433]) ).
fof(f14813,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f14789,f52]) ).
fof(f14814,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X2,X0)
| ssPv4(X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f9050,f14813]) ).
fof(f14815,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ssPv4(skf1(skf1(X0)))
| ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f225,f14813]) ).
fof(f14816,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv4(skf1(skf1(X0)))
| ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f210,f14813]) ).
fof(f14867,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv4(X1)
| ~ ssPv3(X0)
| ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f211,f14798]) ).
fof(f14868,plain,
! [X0] :
( ssPv1(X0)
| ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f14798,f52]) ).
fof(f14880,plain,
! [X0,X1] :
( ssPv1(X0)
| ~ ssRr(X1,X0)
| ssPv1(X1)
| ssPv3(X1) ),
inference(resolution,[status(thm)],[f14868,f13626]) ).
fof(f14898,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X0)
| ssPv3(X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f207,f14814]) ).
fof(f14900,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv2(X1)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f14814,f52]) ).
fof(f14903,plain,
! [X0] :
( ~ ssPv2(skf1(skf1(X0)))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f14900,f52]) ).
fof(f14968,plain,
! [X0] :
( ~ ssPv4(skf1(skf1(X0)))
| ~ ssPv3(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f14867,f52]) ).
fof(f14969,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv1(X0)
| ~ ssPv3(skf1(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f14968,f14816]) ).
fof(f14970,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv1(X0)
| ~ ssPv3(skf1(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f14969]) ).
fof(f14982,plain,
! [X0] :
( ~ ssPv1(skf1(skf1(X0)))
| ssPv1(X0)
| ~ ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f4368,f14970]) ).
fof(f15208,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ssPv1(X0)
| ~ ssPv3(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f14815,f14968]) ).
fof(f15209,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ssPv1(X0)
| ~ ssPv3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f15208]) ).
fof(f15409,plain,
! [X0,X1,X2] :
( ssPv1(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f14426,f15209]) ).
fof(f15765,plain,
! [X0] :
( ~ ssPv1(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0))
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2276,f10875]) ).
fof(f15939,plain,
! [X0] :
( ~ ssPv4(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0))
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2660,f10875]) ).
fof(f15945,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv2(X0)
| ~ ssPv3(skf1(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f15939,f14816]) ).
fof(f15946,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv2(X0)
| ssPv1(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f15945]) ).
fof(f15955,plain,
! [X0,X1] :
( ssPv2(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f12773,f15946]) ).
fof(f15971,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ~ ssPv3(skf1(X2))
| ssPv2(X4) ),
inference(backward_subsumption_resolution,[status(thm)],[f945,f15955]) ).
fof(f16024,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ssPv2(X4)
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f15971,f14657]) ).
fof(f16025,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X3)
| ssPv4(X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f16024,f14814]) ).
fof(f16032,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f16025,f52]) ).
fof(f16036,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv3(X1)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f16032,f52]) ).
fof(f16041,plain,
! [X0] :
( ~ ssPv3(skf1(skf1(X0)))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f16036,f52]) ).
fof(f16055,plain,
! [X0] :
( ssPv4(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f16041,f14779]) ).
fof(f16082,plain,
! [X0] :
( ssPv1(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f16055,f15939]) ).
fof(f16083,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f16082,f15765]) ).
fof(f16086,plain,
! [X0] :
( ssPv1(skf1(skf1(X0)))
| ~ ssPv3(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f16055,f14968]) ).
fof(f16087,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f16086,f14982]) ).
fof(f16090,plain,
! [X0,X1] :
( ssPv1(skf1(skf1(X0)))
| ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f16055,f11123]) ).
fof(f16091,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f16090,f11203]) ).
fof(f16105,plain,
! [X0,X1] :
( ssPv1(X0)
| ~ ssRr(X1,X0)
| ssPv1(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f14880,f16087]) ).
fof(f16107,plain,
! [X0,X1] :
( ~ ssPv2(skf1(X0))
| ~ ssRr(X1,X0)
| ssPv1(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f13626,f16087]) ).
fof(f16108,plain,
! [X0] :
( ~ ssPv2(skf1(skf1(X0)))
| ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f13162,f16087]) ).
fof(f16120,plain,
! [X0] :
( ssPv1(skf1(skf1(X0)))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f16087,f14779]) ).
fof(f16150,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X4)
| ~ ssPv3(X4)
| ssPv2(skf1(X3)) ),
inference(backward_subsumption_resolution,[status(thm)],[f942,f16091]) ).
fof(f16170,plain,
! [X0,X1,X2] :
( ssPv1(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f15409,f16105]) ).
fof(f16203,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(skf1(X0))
| ssPv2(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f16120,f14506]) ).
fof(f16204,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f16203,f16108]) ).
fof(f16227,plain,
! [X0] :
( ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f16204,f16083]) ).
fof(f16235,plain,
! [X0] :
( ssPv3(X0)
| ssPv2(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f14506,f16227]) ).
fof(f16288,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ~ ssPv3(skf1(X2))
| ssPv2(skf1(skf1(X2))) ),
inference(resolution,[status(thm)],[f16150,f52]) ).
fof(f16289,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ssPv2(skf1(skf1(X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[f16288,f16235]) ).
fof(f16316,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ssPv1(X0)
| ssPv3(X1) ),
inference(resolution,[status(thm)],[f16107,f16235]) ).
fof(f16322,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ssPv3(X1)
| ssPv3(X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f14740,f16316]) ).
fof(f16367,plain,
! [X0,X1,X2] :
( ssPv1(X0)
| ~ ssRr(X0,X1)
| ~ ssRr(X2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f16170,f16316]) ).
fof(f16368,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X2,X0)
| ssPv3(X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f14898,f16367]) ).
fof(f16399,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ~ ssPv2(X1)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f16368,f52]) ).
fof(f16403,plain,
! [X0] :
( ~ ssPv2(skf1(skf1(X0)))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f16399,f52]) ).
fof(f16410,plain,
! [X0] :
( ssPv3(X0)
| ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f16403,f16235]) ).
fof(f16417,plain,
! [X0] :
( ssPv3(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f16410,f16083]) ).
fof(f16431,plain,
! [X0] :
( ssPv2(skf1(skf1(X0)))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f16417,f16041]) ).
fof(f16432,plain,
! [X0] : ssPv4(X0),
inference(forward_subsumption_resolution,[status(thm)],[f16431,f14903]) ).
fof(f16461,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ~ ssPv3(X0)
| ~ ssPv1(X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f557,f16432]) ).
fof(f16554,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X0)
| ssPv3(X2) ),
inference(resolution,[status(thm)],[f16289,f16403]) ).
fof(f16555,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ssPv3(X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f16554,f16322]) ).
fof(f16568,plain,
! [X0,X1] :
( ~ ssRr(skf1(X0),X1)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f16555,f52]) ).
fof(f16569,plain,
! [X0] : ssPv3(X0),
inference(resolution,[status(thm)],[f16568,f52]) ).
fof(f16573,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv3(X0)
| ~ ssPv1(X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f16461,f16569]) ).
fof(f16574,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0)
| ~ ssPv1(X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f16573,f16569]) ).
fof(f16586,plain,
! [X0] : ssPv1(X0),
inference(backward_subsumption_resolution,[status(thm)],[f16087,f16569]) ).
fof(f16591,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f16574,f16586]) ).
fof(f16592,plain,
! [X0,X1] : ~ ssRr(skf1(X0),X1),
inference(resolution,[status(thm)],[f16591,f52]) ).
fof(f16593,plain,
$false,
inference(resolution,[status(thm)],[f16592,f52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYN759-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n009.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 10:19:01 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.13/0.32 % Drodi V3.5.1
% 293.65/37.29 % Refutation found
% 293.65/37.29 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 293.65/37.29 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 293.65/37.34 % Elapsed time: 37.020599 seconds
% 293.65/37.34 % CPU time: 294.134381 seconds
% 293.65/37.34 % Memory used: 107.904 MB
%------------------------------------------------------------------------------