%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN796-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:17:30 PM UTC 2026
% Result : Unsatisfiable 10.13s 1.77s
% Output : CNFRefutation 10.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 104
% Number of leaves : 39
% Syntax : Number of formulae : 552 ( 11 unt; 0 def)
% Number of atoms : 2419 ( 0 equ)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 3012 (1145 ~;1867 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 862 ( 862 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [U] : ssRr(skf3(U),U),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [U] : ssRr(U,skf2(U)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [U,V] :
( ssPv4(U)
| ssPv3(U)
| ssPv1(U)
| ssPv3(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [U,V] :
( ssPv3(U)
| ssPv2(U)
| ssPv1(V)
| ~ ssPv4(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [U,V] :
( ssPv4(V)
| ssPv1(V)
| ssPv2(U)
| ~ ssPv2(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [U,V] :
( ssPv3(V)
| ssPv1(V)
| ssPv2(U)
| ~ ssPv4(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [U,V] :
( ssPv2(V)
| ~ ssPv4(V)
| ~ ssPv1(V)
| ~ ssPv1(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [U,V,W] :
( ssPv2(V)
| ssPv1(V)
| ssPv2(W)
| ssPv4(U)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [U,V,W] :
( ssPv4(V)
| ssPv1(W)
| ssPv4(U)
| ~ ssPv1(V)
| ~ ssRr(W,V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [U,V,W] :
( ssPv4(V)
| ssPv3(V)
| ssPv3(W)
| ~ ssRr(W,V)
| ~ ssPv4(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [U,V,W] :
( ssPv4(U)
| ssPv3(U)
| ssPv2(W)
| ~ ssRr(U,W)
| ~ ssPv1(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [U,V,W] :
( ssPv3(V)
| ssPv2(V)
| ssPv2(W)
| ~ ssRr(V,W)
| ~ ssPv2(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
! [U,V,W] :
( ssPv1(V)
| ssPv2(W)
| ssPv4(U)
| ~ ssPv3(V)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [U,V,W] :
( ssPv1(V)
| ssPv4(W)
| ssPv1(U)
| ~ ssPv2(V)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [U,V,W] :
( ssPv4(V)
| ssPv1(V)
| ssPv4(W)
| ~ ssRr(W,V)
| ~ ssPv3(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [U,V,W] :
( ssPv4(U)
| ssPv1(U)
| ssPv4(W)
| ~ ssRr(U,W)
| ~ ssPv1(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [U,V,W] :
( ssPv3(V)
| ssPv1(V)
| ssPv2(W)
| ~ ssRr(V,W)
| ~ ssPv2(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
! [U,V,W] :
( ssPv3(W)
| ssPv4(V)
| ~ ssPv4(U)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [U,V,W] :
( ssPv2(W)
| ssPv3(U)
| ~ ssPv2(V)
| ~ ssPv1(V)
| ~ ssRr(W,V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [U,V,W] :
( ssPv3(U)
| ssPv1(W)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ~ ssPv3(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [U,V,W] :
( ssPv2(V)
| ssPv2(U)
| ~ ssPv4(V)
| ~ ssPv1(W)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
! [U,V,W] :
( ssPv2(V)
| ssPv2(U)
| ~ ssPv3(V)
| ~ ssPv2(W)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
! [U,V,W] :
( ssPv2(V)
| ssPv2(U)
| ~ ssPv1(V)
| ~ ssPv4(W)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
! [U,V,W] :
( ssPv3(U)
| ssPv2(U)
| ~ ssPv1(W)
| ~ ssRr(U,W)
| ~ ssPv2(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
! [U,V,W] :
( ssPv1(V)
| ssPv1(U)
| ~ ssPv2(V)
| ~ ssPv4(W)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
! [U,V,W] :
( ssPv2(U)
| ssPv1(U)
| ~ ssPv2(W)
| ~ ssRr(U,W)
| ~ ssPv4(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
! [U,V,W] :
( ssPv4(U)
| ~ ssPv4(V)
| ~ ssPv3(V)
| ~ ssPv4(W)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
! [U,V,W] :
( ssPv4(W)
| ~ ssPv3(U)
| ~ ssPv2(U)
| ~ ssRr(U,W)
| ~ ssPv1(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
! [U,V,W] :
( ssPv3(U)
| ~ ssPv3(V)
| ~ ssPv1(V)
| ~ ssPv1(W)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
! [U,V,W] :
( ssPv1(W)
| ~ ssPv3(U)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ~ ssPv2(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
! [U,V,W] :
( ssPv1(W)
| ~ ssPv2(U)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ~ ssPv3(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
! [U,V,W] :
( ~ ssPv4(U)
| ~ ssPv1(U)
| ~ ssPv1(W)
| ~ ssRr(U,W)
| ~ ssPv2(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
! [U,V,W,X] :
( ssPv3(U)
| ssPv2(X)
| ssPv4(W)
| ~ ssRr(U,X)
| ~ ssRr(U,W)
| ~ ssPv2(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
! [U,V,W,X] :
( ssPv2(V)
| ssPv4(X)
| ssPv4(U)
| ~ ssRr(V,X)
| ~ ssPv1(W)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
! [U,V,W,X] :
( ssPv1(X)
| ssPv3(W)
| ~ ssPv1(V)
| ~ ssRr(V,X)
| ~ ssRr(V,W)
| ~ ssPv1(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
! [U,V,W,X] :
( ssPv3(W)
| ~ ssPv2(V)
| ~ ssPv1(X)
| ~ ssRr(V,X)
| ~ ssRr(W,V)
| ~ ssPv2(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
! [U,V,W,X] :
( ssPv2(V)
| ~ ssPv1(X)
| ~ ssRr(X,V)
| ~ ssPv3(W)
| ~ ssRr(W,V)
| ~ ssPv4(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
! [U,V,W,X] :
( ssPv3(X)
| ~ ssPv4(V)
| ~ ssRr(V,X)
| ~ ssPv2(W)
| ~ ssRr(W,V)
| ~ ssPv4(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
! [U,V,W,X] :
( ssPv1(V)
| ~ ssPv3(X)
| ~ ssRr(V,X)
| ~ ssPv3(W)
| ~ ssRr(W,V)
| ~ ssPv4(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,plain,
! [X0] : ssRr(skf3(X0),X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f54,plain,
! [X0] : ssRr(X0,skf2(X0)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f55,plain,
! [U] :
( ssPv4(U)
| ssPv3(U)
| ssPv1(U)
| ! [V] :
( ssPv3(V)
| ~ ssRr(U,V) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f56,plain,
! [X0,X1] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv1(X0)
| ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f57,plain,
! [U] :
( ssPv3(U)
| ssPv2(U)
| ! [V] :
( ssPv1(V)
| ~ ssPv4(U)
| ~ ssRr(U,V) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f58,plain,
! [X0,X1] :
( ssPv3(X0)
| ssPv2(X0)
| ssPv1(X1)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f59,plain,
! [V] :
( ssPv4(V)
| ssPv1(V)
| ! [U] :
( ssPv2(U)
| ~ ssPv2(V)
| ~ ssRr(U,V) ) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f60,plain,
! [X0,X1] :
( ssPv4(X1)
| ssPv1(X1)
| ssPv2(X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f61,plain,
! [V] :
( ssPv3(V)
| ssPv1(V)
| ! [U] :
( ssPv2(U)
| ~ ssPv4(V)
| ~ ssRr(U,V) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f62,plain,
! [X0,X1] :
( ssPv3(X1)
| ssPv1(X1)
| ssPv2(X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f63,plain,
! [V] :
( ssPv2(V)
| ~ ssPv4(V)
| ~ ssPv1(V)
| ! [U] :
( ~ ssPv1(U)
| ~ ssRr(U,V) ) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f64,plain,
! [X0,X1] :
( ssPv2(X1)
| ~ ssPv4(X1)
| ~ ssPv1(X1)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f65,plain,
! [V] :
( ssPv2(V)
| ssPv1(V)
| ! [W] :
( ssPv2(W)
| ! [U] :
( ssPv4(U)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ssPv2(X1)
| ssPv1(X1)
| ssPv2(X2)
| ssPv4(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f67,plain,
! [V] :
( ssPv4(V)
| ! [W] :
( ssPv1(W)
| ! [U] :
( ssPv4(U)
| ~ ssPv1(V)
| ~ ssRr(W,V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ssPv4(X1)
| ssPv1(X2)
| ssPv4(X0)
| ~ ssPv1(X1)
| ~ ssRr(X2,X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f69,plain,
! [V] :
( ssPv4(V)
| ssPv3(V)
| ! [W] :
( ssPv3(W)
| ~ ssRr(W,V)
| ! [U] :
( ~ ssPv4(U)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f10]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ssPv4(X1)
| ssPv3(X1)
| ssPv3(X2)
| ~ ssRr(X2,X1)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f71,plain,
! [U] :
( ssPv4(U)
| ssPv3(U)
| ! [W] :
( ssPv2(W)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv1(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f11]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv2(X2)
| ~ ssRr(X0,X2)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f73,plain,
! [V] :
( ssPv3(V)
| ssPv2(V)
| ! [W] :
( ssPv2(W)
| ~ ssRr(V,W)
| ! [U] :
( ~ ssPv2(U)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f12]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ssPv3(X1)
| ssPv2(X1)
| ssPv2(X2)
| ~ ssRr(X1,X2)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f75,plain,
! [V] :
( ssPv1(V)
| ! [W] :
( ssPv2(W)
| ! [U] :
( ssPv4(U)
| ~ ssPv3(V)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f13]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ssPv1(X1)
| ssPv2(X2)
| ssPv4(X0)
| ~ ssPv3(X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f77,plain,
! [V] :
( ssPv1(V)
| ! [W] :
( ssPv4(W)
| ! [U] :
( ssPv1(U)
| ~ ssPv2(V)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ssPv1(X1)
| ssPv4(X2)
| ssPv1(X0)
| ~ ssPv2(X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f77]) ).
fof(f79,plain,
! [V] :
( ssPv4(V)
| ssPv1(V)
| ! [W] :
( ssPv4(W)
| ~ ssRr(W,V)
| ! [U] :
( ~ ssPv3(U)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ssPv4(X1)
| ssPv1(X1)
| ssPv4(X2)
| ~ ssRr(X2,X1)
| ~ ssPv3(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f81,plain,
! [U] :
( ssPv4(U)
| ssPv1(U)
| ! [W] :
( ssPv4(W)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv1(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f16]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ssPv1(X0)
| ssPv4(X2)
| ~ ssRr(X0,X2)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f83,plain,
! [V] :
( ssPv3(V)
| ssPv1(V)
| ! [W] :
( ssPv2(W)
| ~ ssRr(V,W)
| ! [U] :
( ~ ssPv2(U)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ssPv3(X1)
| ssPv1(X1)
| ssPv2(X2)
| ~ ssRr(X1,X2)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f87,plain,
! [W] :
( ssPv3(W)
| ! [V] :
( ssPv4(V)
| ! [U] :
( ~ ssPv4(U)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f19]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ssPv3(X2)
| ssPv4(X1)
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f89,plain,
! [W] :
( ssPv2(W)
| ! [U] :
( ssPv3(U)
| ! [V] :
( ~ ssPv2(V)
| ~ ssPv1(V)
| ~ ssRr(W,V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ssPv2(X2)
| ssPv3(X0)
| ~ ssPv2(X1)
| ~ ssPv1(X1)
| ~ ssRr(X2,X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f93,plain,
! [U] :
( ssPv3(U)
| ! [W] :
( ssPv1(W)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv3(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ssPv3(X0)
| ssPv1(X2)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f95,plain,
! [V] :
( ssPv2(V)
| ! [U] :
( ssPv2(U)
| ~ ssPv4(V)
| ! [W] :
( ~ ssPv1(W)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ssPv2(X1)
| ssPv2(X0)
| ~ ssPv4(X1)
| ~ ssPv1(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f97,plain,
! [V] :
( ssPv2(V)
| ! [U] :
( ssPv2(U)
| ~ ssPv3(V)
| ! [W] :
( ~ ssPv2(W)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f24]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ssPv2(X1)
| ssPv2(X0)
| ~ ssPv3(X1)
| ~ ssPv2(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f99,plain,
! [V] :
( ssPv2(V)
| ! [U] :
( ssPv2(U)
| ~ ssPv1(V)
| ! [W] :
( ~ ssPv4(W)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f25]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ssPv2(X1)
| ssPv2(X0)
| ~ ssPv1(X1)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f101,plain,
! [U] :
( ssPv3(U)
| ssPv2(U)
| ! [W] :
( ~ ssPv1(W)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv2(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f26]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ssPv3(X0)
| ssPv2(X0)
| ~ ssPv1(X2)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f103,plain,
! [V] :
( ssPv1(V)
| ! [U] :
( ssPv1(U)
| ~ ssPv2(V)
| ! [W] :
( ~ ssPv4(W)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f27]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ssPv1(X1)
| ssPv1(X0)
| ~ ssPv2(X1)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f105,plain,
! [U] :
( ssPv2(U)
| ssPv1(U)
| ! [W] :
( ~ ssPv2(W)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv4(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f28]) ).
fof(f106,plain,
! [X0,X1,X2] :
( ssPv2(X0)
| ssPv1(X0)
| ~ ssPv2(X2)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f107,plain,
! [U] :
( ssPv4(U)
| ! [V] :
( ~ ssPv4(V)
| ~ ssPv3(V)
| ! [W] :
( ~ ssPv4(W)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f29]) ).
fof(f108,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ~ ssPv4(X1)
| ~ ssPv3(X1)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f109,plain,
! [W] :
( ssPv4(W)
| ! [U] :
( ~ ssPv3(U)
| ~ ssPv2(U)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv1(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f30]) ).
fof(f110,plain,
! [X0,X1,X2] :
( ssPv4(X2)
| ~ ssPv3(X0)
| ~ ssPv2(X0)
| ~ ssRr(X0,X2)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f109]) ).
fof(f111,plain,
! [U] :
( ssPv3(U)
| ! [V] :
( ~ ssPv3(V)
| ~ ssPv1(V)
| ! [W] :
( ~ ssPv1(W)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f31]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ssPv3(X0)
| ~ ssPv3(X1)
| ~ ssPv1(X1)
| ~ ssPv1(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f111]) ).
fof(f113,plain,
! [W] :
( ssPv1(W)
| ! [U] :
( ~ ssPv3(U)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv2(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f32]) ).
fof(f114,plain,
! [X0,X1,X2] :
( ssPv1(X2)
| ~ ssPv3(X0)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f115,plain,
! [W] :
( ssPv1(W)
| ! [U] :
( ~ ssPv2(U)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv3(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f33]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ssPv1(X2)
| ~ ssPv2(X0)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f117,plain,
! [U] :
( ~ ssPv4(U)
| ~ ssPv1(U)
| ! [W] :
( ~ ssPv1(W)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv2(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f34]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssPv1(X2)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f121,plain,
! [U] :
( ssPv3(U)
| ! [X] :
( ssPv2(X)
| ! [W] :
( ssPv4(W)
| ~ ssRr(U,X)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv2(V)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f36]) ).
fof(f122,plain,
! [X0,X1,X2,X3] :
( ssPv3(X0)
| ssPv2(X3)
| ssPv4(X2)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f121]) ).
fof(f125,plain,
! [V] :
( ssPv2(V)
| ! [X] :
( ssPv4(X)
| ! [U] :
( ssPv4(U)
| ~ ssRr(V,X)
| ! [W] :
( ~ ssPv1(W)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f38]) ).
fof(f126,plain,
! [X0,X1,X2,X3] :
( ssPv2(X1)
| ssPv4(X3)
| ssPv4(X0)
| ~ ssRr(X1,X3)
| ~ ssPv1(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f125]) ).
fof(f131,plain,
! [X] :
( ssPv1(X)
| ! [W] :
( ssPv3(W)
| ! [V] :
( ~ ssPv1(V)
| ~ ssRr(V,X)
| ~ ssRr(V,W)
| ! [U] :
( ~ ssPv1(U)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f41]) ).
fof(f132,plain,
! [X0,X1,X2,X3] :
( ssPv1(X3)
| ssPv3(X2)
| ~ ssPv1(X1)
| ~ ssRr(X1,X3)
| ~ ssRr(X1,X2)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f131]) ).
fof(f137,plain,
! [W] :
( ssPv3(W)
| ! [V] :
( ~ ssPv2(V)
| ! [X] :
( ~ ssPv1(X)
| ~ ssRr(V,X)
| ~ ssRr(W,V)
| ! [U] :
( ~ ssPv2(U)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f44]) ).
fof(f138,plain,
! [X0,X1,X2,X3] :
( ssPv3(X2)
| ~ ssPv2(X1)
| ~ ssPv1(X3)
| ~ ssRr(X1,X3)
| ~ ssRr(X2,X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f141,plain,
! [V] :
( ssPv2(V)
| ! [X] :
( ~ ssPv1(X)
| ~ ssRr(X,V)
| ! [W] :
( ~ ssPv3(W)
| ~ ssRr(W,V)
| ! [U] :
( ~ ssPv4(U)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f46]) ).
fof(f142,plain,
! [X0,X1,X2,X3] :
( ssPv2(X1)
| ~ ssPv1(X3)
| ~ ssRr(X3,X1)
| ~ ssPv3(X2)
| ~ ssRr(X2,X1)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f145,plain,
! [X] :
( ssPv3(X)
| ! [V] :
( ~ ssPv4(V)
| ~ ssRr(V,X)
| ! [W] :
( ~ ssPv2(W)
| ~ ssRr(W,V)
| ! [U] :
( ~ ssPv4(U)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f48]) ).
fof(f146,plain,
! [X0,X1,X2,X3] :
( ssPv3(X3)
| ~ ssPv4(X1)
| ~ ssRr(X1,X3)
| ~ ssPv2(X2)
| ~ ssRr(X2,X1)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f145]) ).
fof(f149,plain,
! [V] :
( ssPv1(V)
| ! [X] :
( ~ ssPv3(X)
| ~ ssRr(V,X)
| ! [W] :
( ~ ssPv3(W)
| ~ ssRr(W,V)
| ! [U] :
( ~ ssPv4(U)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f50]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( ssPv1(X1)
| ~ ssPv3(X3)
| ~ ssRr(X1,X3)
| ~ ssPv3(X2)
| ~ ssRr(X2,X1)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f156,plain,
! [X0] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv1(X0)
| ssPv3(skf2(X0)) ),
inference(resolution,[status(thm)],[f56,f54]) ).
fof(f158,plain,
! [X0] :
( ssPv3(X0)
| ssPv2(X0)
| ssPv1(skf2(X0))
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[f58,f54]) ).
fof(f159,plain,
! [X0] :
( ssPv4(X0)
| ssPv1(X0)
| ssPv2(skf3(X0))
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[f60,f53]) ).
fof(f161,plain,
! [X0] :
( ssPv3(X0)
| ssPv1(X0)
| ssPv2(skf3(X0))
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[f62,f53]) ).
fof(f162,plain,
! [X0] :
( ssPv3(skf2(X0))
| ssPv1(skf2(X0))
| ssPv2(X0)
| ~ ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[f62,f54]) ).
fof(f164,plain,
! [X0] :
( ssPv2(skf2(X0))
| ~ ssPv4(skf2(X0))
| ~ ssPv1(skf2(X0))
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[f64,f54]) ).
fof(f166,plain,
! [X0,X1] :
( ssPv2(X1)
| ssPv1(X1)
| ssPv2(skf2(X1))
| ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f66,f54]) ).
fof(f169,plain,
! [X0] :
( ssPv2(X0)
| ssPv1(X0)
| ssPv2(skf2(X0))
| ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[f166,f53]) ).
fof(f170,plain,
! [X0] :
( ssPv2(skf2(X0))
| ssPv1(skf2(X0))
| ssPv2(skf2(skf2(X0)))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f166,f54]) ).
fof(f173,plain,
! [X0,X1] :
( ssPv4(X1)
| ssPv1(skf3(X1))
| ssPv4(X0)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f68,f53]) ).
fof(f174,plain,
! [X0,X1] :
( ssPv4(skf2(X1))
| ssPv1(X1)
| ssPv4(X0)
| ~ ssPv1(skf2(X1))
| ~ ssRr(X0,skf2(X1)) ),
inference(resolution,[status(thm)],[f68,f54]) ).
fof(f175,plain,
! [X0,X1] :
( ssPv4(X1)
| ssPv3(X1)
| ssPv3(skf3(X1))
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f70,f53]) ).
fof(f176,plain,
! [X0,X1] :
( ssPv4(skf2(X1))
| ssPv3(skf2(X1))
| ssPv3(X1)
| ~ ssPv4(X0)
| ~ ssRr(X0,skf2(X1)) ),
inference(resolution,[status(thm)],[f70,f54]) ).
fof(f177,plain,
! [X0,X1] :
( ssPv4(skf3(X0))
| ssPv3(skf3(X0))
| ssPv2(X0)
| ~ ssPv1(X1)
| ~ ssRr(skf3(X0),X1) ),
inference(resolution,[status(thm)],[f72,f53]) ).
fof(f178,plain,
! [X0,X1] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv2(skf2(X0))
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f72,f54]) ).
fof(f180,plain,
! [X0,X1] :
( ssPv3(X1)
| ssPv2(X1)
| ssPv2(skf2(X1))
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f74,f54]) ).
fof(f181,plain,
! [X0] :
( ssPv4(X0)
| ssPv1(skf3(X0))
| ssPv4(skf3(X0))
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[f173,f53]) ).
fof(f182,plain,
! [X0] :
( ssPv4(skf2(X0))
| ssPv1(skf3(skf2(X0)))
| ssPv4(X0)
| ~ ssPv1(skf2(X0)) ),
inference(resolution,[status(thm)],[f173,f54]) ).
fof(f184,plain,
! [X0] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv3(skf3(X0))
| ~ ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[f175,f53]) ).
fof(f187,plain,
! [X0,X1] :
( ssPv1(X1)
| ssPv2(skf2(X1))
| ssPv4(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f76,f54]) ).
fof(f194,plain,
! [X0] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv2(skf2(X0))
| ~ ssPv1(skf2(X0)) ),
inference(resolution,[status(thm)],[f178,f54]) ).
fof(f196,plain,
! [X0] :
( ssPv3(X0)
| ssPv2(X0)
| ssPv2(skf2(X0))
| ~ ssPv2(skf3(X0)) ),
inference(resolution,[status(thm)],[f180,f53]) ).
fof(f203,plain,
! [X0,X1] :
( ssPv4(X1)
| ssPv1(X1)
| ssPv4(skf3(X1))
| ~ ssPv3(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f80,f53]) ).
fof(f204,plain,
! [X0,X1] :
( ssPv4(skf2(X1))
| ssPv1(skf2(X1))
| ssPv4(X1)
| ~ ssPv3(X0)
| ~ ssRr(X0,skf2(X1)) ),
inference(resolution,[status(thm)],[f80,f54]) ).
fof(f207,plain,
! [X0] :
( ssPv1(X0)
| ssPv2(skf2(X0))
| ssPv4(skf3(X0))
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f187,f53]) ).
fof(f214,plain,
! [X0] :
( ssPv4(X0)
| ssPv1(X0)
| ssPv4(skf3(X0))
| ~ ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[f203,f53]) ).
fof(f217,plain,
! [X0,X1] :
( ssPv4(X0)
| ssPv1(X0)
| ssPv4(skf2(X0))
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f82,f54]) ).
fof(f218,plain,
! [X0,X1] :
( ssPv3(skf3(X1))
| ssPv1(skf3(X1))
| ssPv2(X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,skf3(X1)) ),
inference(resolution,[status(thm)],[f84,f53]) ).
fof(f219,plain,
! [X0,X1] :
( ssPv3(X1)
| ssPv1(X1)
| ssPv2(skf2(X1))
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f84,f54]) ).
fof(f222,plain,
! [X0,X1] :
( ssPv3(X0)
| ssPv4(X1)
| ~ ssPv4(skf3(X0))
| ~ ssPv1(skf3(X0))
| ~ ssRr(skf3(X0),X1) ),
inference(resolution,[status(thm)],[f88,f53]) ).
fof(f223,plain,
! [X0,X1] :
( ssPv3(skf2(X0))
| ssPv4(X1)
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f88,f54]) ).
fof(f225,plain,
! [X0] :
( ssPv4(X0)
| ssPv1(X0)
| ssPv4(skf2(X0))
| ~ ssPv1(skf2(X0)) ),
inference(resolution,[status(thm)],[f217,f54]) ).
fof(f227,plain,
! [X0] :
( ssPv3(X0)
| ssPv1(X0)
| ssPv2(skf2(X0))
| ~ ssPv2(skf3(X0)) ),
inference(resolution,[status(thm)],[f219,f53]) ).
fof(f228,plain,
! [X0] :
( ssPv3(skf2(X0))
| ssPv1(skf2(X0))
| ssPv2(skf2(skf2(X0)))
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[f219,f54]) ).
fof(f229,plain,
! [X0,X1] :
( ssPv2(skf3(X1))
| ssPv3(X0)
| ~ ssPv2(X1)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f90,f53]) ).
fof(f231,plain,
! [X0] :
( ssPv3(X0)
| ssPv1(X0)
| ~ ssPv4(X0)
| ssPv3(X0)
| ssPv1(X0)
| ssPv2(skf2(X0)) ),
inference(resolution,[status(thm)],[f227,f161]) ).
fof(f232,plain,
! [X0] :
( ssPv4(X0)
| ssPv1(X0)
| ~ ssPv2(X0)
| ssPv3(X0)
| ssPv1(X0)
| ssPv2(skf2(X0)) ),
inference(resolution,[status(thm)],[f227,f159]) ).
fof(f233,plain,
! [X0] :
( ~ ssPv4(X0)
| ssPv3(X0)
| ssPv1(X0)
| ssPv2(skf2(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f231]) ).
fof(f234,plain,
! [X0] :
( ssPv4(X0)
| ~ ssPv2(X0)
| ssPv3(X0)
| ssPv1(X0)
| ssPv2(skf2(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f232]) ).
fof(f236,plain,
! [X0] :
( ~ ssPv2(X0)
| ssPv3(X0)
| ssPv1(X0)
| ssPv2(skf2(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f234,f233]) ).
fof(f242,plain,
! [X0] :
( ssPv3(skf2(X0))
| ssPv4(skf2(X0))
| ~ ssPv4(X0)
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[f223,f54]) ).
fof(f245,plain,
! [X0,X1] :
( ssPv3(skf3(X0))
| ssPv1(X0)
| ~ ssPv1(skf3(X0))
| ~ ssPv3(X1)
| ~ ssRr(skf3(X0),X1) ),
inference(resolution,[status(thm)],[f94,f53]) ).
fof(f246,plain,
! [X0,X1] :
( ssPv3(X0)
| ssPv1(skf2(X0))
| ~ ssPv1(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f94,f54]) ).
fof(f248,plain,
! [X0] :
( ssPv3(skf2(X0))
| ssPv1(skf2(X0))
| ssPv2(X0)
| ssPv3(skf2(X0))
| ~ ssPv4(X0)
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[f242,f162]) ).
fof(f250,plain,
! [X0] :
( ssPv1(skf2(X0))
| ssPv2(X0)
| ssPv3(skf2(X0))
| ~ ssPv4(X0)
| ~ ssPv1(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f248]) ).
fof(f251,plain,
! [X0] :
( ssPv2(skf3(X0))
| ssPv3(skf3(X0))
| ~ ssPv2(X0)
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[f229,f53]) ).
fof(f258,plain,
! [X0] :
( ssPv3(X0)
| ssPv1(skf2(X0))
| ~ ssPv1(X0)
| ~ ssPv3(skf2(X0)) ),
inference(resolution,[status(thm)],[f246,f54]) ).
fof(f262,plain,
! [X0,X1] :
( ssPv2(skf3(X1))
| ssPv2(X0)
| ~ ssPv4(skf3(X1))
| ~ ssPv1(X1)
| ~ ssRr(X0,skf3(X1)) ),
inference(resolution,[status(thm)],[f96,f53]) ).
fof(f263,plain,
! [X0,X1] :
( ssPv2(X1)
| ssPv2(X0)
| ~ ssPv4(X1)
| ~ ssPv1(skf2(X1))
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f96,f54]) ).
fof(f264,plain,
! [X0,X1] :
( ssPv2(skf3(X1))
| ssPv2(X0)
| ~ ssPv3(skf3(X1))
| ~ ssPv2(X1)
| ~ ssRr(X0,skf3(X1)) ),
inference(resolution,[status(thm)],[f98,f53]) ).
fof(f265,plain,
! [X0,X1] :
( ssPv2(X1)
| ssPv2(X0)
| ~ ssPv3(X1)
| ~ ssPv2(skf2(X1))
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f98,f54]) ).
fof(f267,plain,
! [X0,X1] :
( ssPv2(X1)
| ssPv2(X0)
| ~ ssPv1(X1)
| ~ ssPv4(skf2(X1))
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f100,f54]) ).
fof(f269,plain,
! [X0,X1] :
( ssPv3(X0)
| ssPv2(X0)
| ~ ssPv1(skf2(X0))
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f102,f54]) ).
fof(f270,plain,
! [X0] :
( ssPv2(X0)
| ssPv2(skf3(X0))
| ~ ssPv4(X0)
| ~ ssPv1(skf2(X0)) ),
inference(resolution,[status(thm)],[f263,f53]) ).
fof(f273,plain,
! [X0] :
( ssPv3(X0)
| ssPv2(X0)
| ~ ssPv4(X0)
| ssPv2(X0)
| ssPv2(skf3(X0))
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[f270,f158]) ).
fof(f275,plain,
! [X0] :
( ssPv3(X0)
| ssPv2(X0)
| ssPv2(skf3(X0))
| ~ ssPv4(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f273]) ).
fof(f277,plain,
! [X0] :
( ssPv3(X0)
| ssPv2(X0)
| ssPv2(skf2(X0))
| ssPv3(X0)
| ssPv2(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[f275,f196]) ).
fof(f279,plain,
! [X0] :
( ssPv2(skf2(X0))
| ssPv3(X0)
| ssPv2(X0)
| ~ ssPv4(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f277]) ).
fof(f280,plain,
! [X0,X1,X2] :
( ssPv1(X1)
| ssPv1(X0)
| ~ ssPv2(X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f104,f78]) ).
fof(f282,plain,
! [X0,X1] :
( ssPv1(X1)
| ssPv1(X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f280,f54]) ).
fof(f283,plain,
! [X0] :
( ssPv1(X0)
| ssPv1(skf3(X0))
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[f282,f53]) ).
fof(f284,plain,
! [X0] :
( ssPv1(skf2(X0))
| ssPv1(X0)
| ~ ssPv2(skf2(X0)) ),
inference(resolution,[status(thm)],[f282,f54]) ).
fof(f287,plain,
! [X0] :
( ~ ssPv2(X0)
| ssPv3(X0)
| ssPv1(X0)
| ssPv1(skf2(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f284,f236]) ).
fof(f288,plain,
! [X0] :
( ~ ssPv4(X0)
| ssPv3(X0)
| ssPv1(X0)
| ssPv1(skf2(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f284,f233]) ).
fof(f290,plain,
! [X0] :
( ssPv2(X0)
| ssPv1(X0)
| ssPv4(skf3(X0))
| ssPv1(skf2(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f284,f169]) ).
fof(f291,plain,
! [X0] :
( ~ ssPv2(X0)
| ssPv3(X0)
| ssPv1(skf2(X0))
| ssPv1(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f287]) ).
fof(f292,plain,
! [X0] :
( ~ ssPv4(X0)
| ssPv3(X0)
| ssPv1(skf2(X0))
| ssPv1(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f288]) ).
fof(f294,plain,
! [X0] :
( ssPv2(X0)
| ssPv4(skf3(X0))
| ssPv1(skf2(X0))
| ssPv1(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f290]) ).
fof(f299,plain,
! [X0] :
( ssPv4(X0)
| ssPv1(X0)
| ssPv4(skf2(X0))
| ~ ssPv2(X0)
| ssPv3(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f291,f225]) ).
fof(f301,plain,
! [X0] :
( ssPv4(X0)
| ssPv4(skf2(X0))
| ~ ssPv2(X0)
| ssPv3(X0)
| ssPv1(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f299]) ).
fof(f307,plain,
! [X0,X1] :
( ssPv2(skf3(X0))
| ssPv1(skf3(X0))
| ~ ssPv2(X0)
| ~ ssPv4(X1)
| ~ ssRr(skf3(X0),X1) ),
inference(resolution,[status(thm)],[f106,f53]) ).
fof(f308,plain,
! [X0,X1] :
( ssPv2(X0)
| ssPv1(X0)
| ~ ssPv2(skf2(X0))
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f106,f54]) ).
fof(f310,plain,
! [X0,X1] :
( ssPv4(X0)
| ~ ssPv4(X1)
| ~ ssPv3(X1)
| ~ ssPv4(skf2(X1))
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f108,f54]) ).
fof(f314,plain,
! [X0] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv3(skf3(X0))
| ssPv2(X0)
| ssPv1(skf2(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f294,f184]) ).
fof(f316,plain,
! [X0] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv3(skf3(X0))
| ssPv1(skf2(X0))
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f314,f291]) ).
fof(f320,plain,
! [X0] :
( ssPv2(X0)
| ssPv2(skf3(X0))
| ~ ssPv3(X0)
| ~ ssPv2(skf2(X0)) ),
inference(resolution,[status(thm)],[f265,f53]) ).
fof(f321,plain,
! [X0] :
( ssPv2(skf2(X0))
| ssPv2(X0)
| ~ ssPv3(skf2(X0))
| ~ ssPv2(skf2(skf2(X0))) ),
inference(resolution,[status(thm)],[f265,f54]) ).
fof(f326,plain,
! [X0] :
( ssPv1(X0)
| ssPv4(skf3(X0))
| ~ ssPv3(X0)
| ssPv2(X0)
| ssPv2(skf3(X0))
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f320,f207]) ).
fof(f328,plain,
! [X0] :
( ssPv1(X0)
| ssPv4(skf3(X0))
| ssPv2(X0)
| ssPv2(skf3(X0))
| ~ ssPv3(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f326]) ).
fof(f330,plain,
! [X0] :
( ssPv2(X0)
| ssPv2(skf3(X0))
| ~ ssPv1(X0)
| ~ ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[f267,f53]) ).
fof(f335,plain,
! [X0] :
( ssPv3(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv1(skf2(skf3(X0)))
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[f269,f53]) ).
fof(f336,plain,
! [X0] :
( ssPv3(X0)
| ssPv2(X0)
| ~ ssPv1(skf2(X0))
| ~ ssPv2(skf2(X0)) ),
inference(resolution,[status(thm)],[f269,f54]) ).
fof(f337,plain,
! [X0] :
( ssPv3(X0)
| ssPv2(X0)
| ~ ssPv4(X0)
| ssPv3(X0)
| ssPv2(X0)
| ~ ssPv1(skf2(X0)) ),
inference(resolution,[status(thm)],[f336,f279]) ).
fof(f342,plain,
! [X0] :
( ssPv2(X0)
| ssPv1(X0)
| ssPv4(skf3(X0))
| ssPv3(X0)
| ssPv2(X0)
| ~ ssPv1(skf2(X0)) ),
inference(resolution,[status(thm)],[f336,f169]) ).
fof(f343,plain,
! [X0] :
( ~ ssPv4(X0)
| ssPv3(X0)
| ssPv2(X0)
| ~ ssPv1(skf2(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f337]) ).
fof(f344,plain,
! [X0] :
( ~ ssPv4(X0)
| ssPv3(X0)
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f343,f158]) ).
fof(f347,plain,
! [X0] :
( ssPv1(X0)
| ssPv4(skf3(X0))
| ssPv3(X0)
| ssPv2(X0)
| ~ ssPv1(skf2(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f342]) ).
fof(f348,plain,
! [X0] :
( ssPv1(X0)
| ssPv4(skf3(X0))
| ssPv3(X0)
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f347,f294]) ).
fof(f349,plain,
! [X0,X1] :
( ssPv4(X0)
| ~ ssPv3(skf3(X0))
| ~ ssPv2(skf3(X0))
| ~ ssPv1(X1)
| ~ ssRr(skf3(X0),X1) ),
inference(resolution,[status(thm)],[f110,f53]) ).
fof(f350,plain,
! [X0,X1] :
( ssPv4(skf2(X0))
| ~ ssPv3(X0)
| ~ ssPv2(X0)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f110,f54]) ).
fof(f352,plain,
! [X0,X1] :
( ssPv3(X0)
| ~ ssPv3(X1)
| ~ ssPv1(X1)
| ~ ssPv1(skf2(X1))
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f112,f54]) ).
fof(f353,plain,
! [X0,X1] :
( ssPv1(X0)
| ~ ssPv3(skf3(X0))
| ~ ssPv1(skf3(X0))
| ~ ssPv2(X1)
| ~ ssRr(skf3(X0),X1) ),
inference(resolution,[status(thm)],[f114,f53]) ).
fof(f354,plain,
! [X0,X1] :
( ssPv1(skf2(X0))
| ~ ssPv3(X0)
| ~ ssPv1(X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f114,f54]) ).
fof(f356,plain,
! [X0] :
( ssPv3(skf2(X0))
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ssPv3(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(resolution,[status(thm)],[f344,f242]) ).
fof(f361,plain,
! [X0] :
( ~ ssPv4(X0)
| ~ ssPv1(X0)
| ssPv3(skf2(X0))
| ssPv2(skf2(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f356]) ).
fof(f367,plain,
! [X0,X1] :
( ssPv1(X0)
| ~ ssPv2(skf3(X0))
| ~ ssPv1(skf3(X0))
| ~ ssPv3(X1)
| ~ ssRr(skf3(X0),X1) ),
inference(resolution,[status(thm)],[f116,f53]) ).
fof(f368,plain,
! [X0,X1] :
( ssPv1(skf2(X0))
| ~ ssPv2(X0)
| ~ ssPv1(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f116,f54]) ).
fof(f379,plain,
! [X0] :
( ssPv2(X0)
| ssPv1(X0)
| ~ ssPv2(skf2(X0))
| ~ ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[f308,f54]) ).
fof(f393,plain,
! [X0,X1] :
( ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssPv1(skf2(X0))
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f118,f54]) ).
fof(f398,plain,
! [X0] :
( ssPv4(skf3(X0))
| ~ ssPv4(X0)
| ~ ssPv3(X0)
| ~ ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[f310,f53]) ).
fof(f404,plain,
! [X0] :
( ssPv4(skf2(X0))
| ~ ssPv3(X0)
| ~ ssPv2(X0)
| ~ ssPv1(skf2(X0)) ),
inference(resolution,[status(thm)],[f350,f54]) ).
fof(f408,plain,
! [X0] :
( ssPv3(skf3(X0))
| ~ ssPv3(X0)
| ~ ssPv1(X0)
| ~ ssPv1(skf2(X0)) ),
inference(resolution,[status(thm)],[f352,f53]) ).
fof(f409,plain,
! [X0] :
( ssPv3(X0)
| ~ ssPv3(skf2(X0))
| ~ ssPv1(skf2(X0))
| ~ ssPv1(skf2(skf2(X0))) ),
inference(resolution,[status(thm)],[f352,f54]) ).
fof(f416,plain,
! [X0] :
( ssPv1(skf2(X0))
| ~ ssPv3(X0)
| ~ ssPv1(X0)
| ~ ssPv2(skf2(X0)) ),
inference(resolution,[status(thm)],[f354,f54]) ).
fof(f417,plain,
! [X0] :
( ssPv1(skf2(X0))
| ~ ssPv3(X0)
| ~ ssPv2(skf2(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f416,f284]) ).
fof(f418,plain,
! [X0] :
( ~ ssPv4(X0)
| ~ ssPv1(X0)
| ssPv3(skf2(X0))
| ssPv1(skf2(X0))
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f417,f361]) ).
fof(f428,plain,
! [X0,X1] :
( ssPv3(skf3(X0))
| ssPv2(X0)
| ssPv4(X0)
| ~ ssPv2(X1)
| ~ ssRr(skf3(X0),X1) ),
inference(resolution,[status(thm)],[f122,f53]) ).
fof(f440,plain,
! [X0,X1] :
( ssPv2(X1)
| ssPv4(skf2(X1))
| ssPv4(X0)
| ~ ssPv1(skf2(X1))
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f126,f54]) ).
fof(f449,plain,
! [X0] :
( ssPv1(skf2(X0))
| ~ ssPv2(X0)
| ~ ssPv1(X0)
| ~ ssPv3(skf2(X0)) ),
inference(resolution,[status(thm)],[f368,f54]) ).
fof(f456,plain,
! [X0] :
( ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssPv1(skf2(X0))
| ~ ssPv2(skf2(X0)) ),
inference(resolution,[status(thm)],[f393,f54]) ).
fof(f457,plain,
! [X0] :
( ~ ssPv4(X0)
| ~ ssPv1(X0)
| ssPv3(skf2(X0))
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssPv1(skf2(X0)) ),
inference(resolution,[status(thm)],[f456,f361]) ).
fof(f463,plain,
! [X0] :
( ssPv3(skf2(X0))
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssPv1(skf2(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f457]) ).
fof(f465,plain,
! [X0] :
( ssPv2(X0)
| ssPv3(skf2(X0))
| ~ ssPv4(X0)
| ~ ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f250,f463]) ).
fof(f479,plain,
! [X0,X1] :
( ssPv1(skf2(X1))
| ssPv3(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f132,f54]) ).
fof(f483,plain,
! [X0] :
( ssPv3(X0)
| ssPv3(skf3(X0))
| ssPv1(skf2(X0))
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f316,f292]) ).
fof(f488,plain,
! [X0] :
( ssPv4(X0)
| ssPv1(X0)
| ssPv4(skf2(X0))
| ssPv3(X0)
| ssPv3(skf3(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f483,f225]) ).
fof(f489,plain,
! [X0] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv2(skf2(X0))
| ssPv3(X0)
| ssPv3(skf3(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f483,f194]) ).
fof(f490,plain,
! [X0] :
( ssPv4(X0)
| ssPv4(skf2(X0))
| ssPv3(X0)
| ssPv3(skf3(X0))
| ssPv1(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f488]) ).
fof(f491,plain,
! [X0] :
( ssPv4(X0)
| ssPv2(skf2(X0))
| ssPv3(X0)
| ssPv3(skf3(X0))
| ssPv1(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f489]) ).
fof(f492,plain,
! [X0] :
( ssPv2(skf2(X0))
| ssPv3(X0)
| ssPv3(skf3(X0))
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f491,f233]) ).
fof(f503,plain,
! [X0] :
( ssPv1(X0)
| ssPv4(skf3(X0))
| ssPv2(X0)
| ssPv2(skf3(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f328,f348]) ).
fof(f524,plain,
! [X0] :
( ~ ssPv4(X0)
| ~ ssPv1(X0)
| ssPv3(skf2(X0))
| ~ ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f418,f463]) ).
fof(f525,plain,
! [X0] :
( ssPv1(skf2(X0))
| ~ ssPv2(X0)
| ~ ssPv1(X0)
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f524,f449]) ).
fof(f527,plain,
! [X0] :
( ssPv1(skf2(X0))
| ~ ssPv2(X0)
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssPv3(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f525]) ).
fof(f536,plain,
! [X0] :
( ssPv4(skf2(X0))
| ~ ssPv3(X0)
| ~ ssPv2(X0)
| ~ ssPv2(X0)
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f527,f404]) ).
fof(f542,plain,
! [X0] :
( ssPv4(skf2(X0))
| ~ ssPv2(X0)
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssPv3(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f536]) ).
fof(f548,plain,
! [X0] :
( ssPv2(skf2(X0))
| ~ ssPv1(skf2(X0))
| ~ ssPv1(X0)
| ~ ssPv2(X0)
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f542,f164]) ).
fof(f552,plain,
! [X0] :
( ssPv2(skf2(X0))
| ~ ssPv1(skf2(X0))
| ~ ssPv2(X0)
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssPv3(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f548]) ).
fof(f553,plain,
! [X0] :
( ssPv2(skf2(X0))
| ~ ssPv2(X0)
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f552,f527]) ).
fof(f554,plain,
! [X0] :
( ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssPv1(skf2(X0))
| ~ ssPv2(X0)
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f553,f456]) ).
fof(f561,plain,
! [X0] :
( ~ ssPv1(skf2(X0))
| ~ ssPv2(X0)
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssPv3(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f554]) ).
fof(f562,plain,
! [X0] :
( ~ ssPv2(X0)
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f561,f527]) ).
fof(f580,plain,
! [X0] :
( ~ ssPv2(X0)
| ssPv3(X0)
| ssPv1(X0)
| ~ ssPv4(skf2(X0))
| ~ ssPv1(skf2(X0))
| ~ ssPv3(skf2(X0)) ),
inference(resolution,[status(thm)],[f562,f236]) ).
fof(f588,plain,
! [X0] :
( ssPv4(X0)
| ssPv1(X0)
| ~ ssPv2(X0)
| ~ ssPv4(skf3(X0))
| ~ ssPv1(skf3(X0))
| ~ ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[f562,f159]) ).
fof(f596,plain,
! [X0] :
( ~ ssPv2(X0)
| ssPv3(X0)
| ssPv1(X0)
| ~ ssPv4(skf2(X0))
| ~ ssPv3(skf2(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f580,f291]) ).
fof(f599,plain,
! [X0] :
( ssPv4(X0)
| ssPv1(X0)
| ~ ssPv2(X0)
| ~ ssPv4(skf3(X0))
| ~ ssPv3(skf3(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f588,f283]) ).
fof(f611,plain,
! [X0,X1] :
( ssPv2(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv3(X1)
| ~ ssPv4(X0)
| ~ ssRr(X0,skf2(X1)) ),
inference(resolution,[status(thm)],[f142,f54]) ).
fof(f632,plain,
! [X0] :
( ssPv4(X0)
| ~ ssPv2(X0)
| ssPv3(X0)
| ssPv1(X0)
| ~ ssPv2(X0)
| ssPv3(X0)
| ssPv1(X0)
| ~ ssPv3(skf2(X0)) ),
inference(resolution,[status(thm)],[f596,f301]) ).
fof(f636,plain,
! [X0] :
( ssPv4(X0)
| ~ ssPv2(X0)
| ssPv3(X0)
| ssPv1(X0)
| ~ ssPv3(skf2(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f632]) ).
fof(f637,plain,
! [X0] :
( ssPv4(X0)
| ~ ssPv2(X0)
| ssPv3(X0)
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f636,f156]) ).
fof(f645,plain,
! [X0] :
( ssPv1(X0)
| ssPv4(skf3(X0))
| ssPv2(X0)
| ssPv4(skf3(X0))
| ssPv3(skf3(X0))
| ssPv1(skf3(X0)) ),
inference(resolution,[status(thm)],[f637,f503]) ).
fof(f651,plain,
! [X0] :
( ssPv1(X0)
| ssPv2(X0)
| ssPv4(skf3(X0))
| ssPv3(skf3(X0))
| ssPv1(skf3(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f645]) ).
fof(f652,plain,
! [X0] :
( ssPv1(X0)
| ssPv4(skf3(X0))
| ssPv3(skf3(X0))
| ssPv1(skf3(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f651,f283]) ).
fof(f658,plain,
! [X0] :
( ssPv3(skf3(X0))
| ssPv2(skf3(X0))
| ssPv1(X0)
| ssPv3(skf3(X0))
| ssPv1(skf3(X0)) ),
inference(resolution,[status(thm)],[f652,f344]) ).
fof(f660,plain,
! [X0] :
( ssPv2(skf3(X0))
| ssPv1(X0)
| ssPv3(skf3(X0))
| ssPv1(skf3(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f658]) ).
fof(f687,plain,
! [X0,X1,X2] :
( ssPv1(X1)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2)
| ~ ssPv3(skf3(X1))
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f150,f53]) ).
fof(f691,plain,
! [X0] :
( ssPv4(X0)
| ssPv1(X0)
| ~ ssPv2(X0)
| ~ ssPv3(skf3(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f599,f214]) ).
fof(f847,plain,
! [X0] :
( ssPv4(skf2(X0))
| ssPv3(skf2(X0))
| ssPv3(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[f176,f54]) ).
fof(f848,plain,
! [X0] :
( ssPv4(skf3(X0))
| ssPv3(skf3(X0))
| ssPv2(X0)
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[f177,f53]) ).
fof(f858,plain,
! [X0] :
( ssPv3(skf2(X0))
| ssPv2(skf2(X0))
| ssPv3(skf2(X0))
| ssPv3(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[f847,f344]) ).
fof(f860,plain,
! [X0] :
( ssPv2(skf2(X0))
| ssPv3(skf2(X0))
| ssPv3(X0)
| ~ ssPv4(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f858]) ).
fof(f863,plain,
! [X0] :
( ssPv3(skf3(X0))
| ssPv2(skf3(X0))
| ssPv3(skf3(X0))
| ssPv2(X0)
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[f848,f344]) ).
fof(f866,plain,
! [X0] :
( ssPv2(skf3(X0))
| ssPv3(skf3(X0))
| ssPv2(X0)
| ~ ssPv1(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f863]) ).
fof(f867,plain,
! [X0] :
( ssPv2(skf3(X0))
| ssPv3(skf3(X0))
| ~ ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f866,f251]) ).
fof(f868,plain,
! [X0] :
( ssPv2(skf3(X0))
| ssPv3(skf3(X0))
| ssPv1(skf3(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f660,f867]) ).
fof(f992,plain,
! [X0] :
( ssPv4(skf2(X0))
| ssPv1(skf2(X0))
| ssPv4(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f204,f54]) ).
fof(f1006,plain,
! [X0] :
( ssPv3(skf2(X0))
| ssPv2(skf2(X0))
| ssPv1(skf2(X0))
| ssPv4(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f992,f344]) ).
fof(f1008,plain,
! [X0] :
( ssPv3(skf2(X0))
| ssPv1(skf2(X0))
| ssPv4(X0)
| ~ ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1006,f417]) ).
fof(f1013,plain,
! [X0] :
( ssPv3(skf3(X0))
| ~ ssPv3(X0)
| ~ ssPv1(X0)
| ssPv3(skf2(X0))
| ssPv4(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f1008,f408]) ).
fof(f1014,plain,
! [X0] :
( ssPv4(skf2(X0))
| ~ ssPv3(X0)
| ~ ssPv2(X0)
| ssPv3(skf2(X0))
| ssPv4(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f1008,f404]) ).
fof(f1016,plain,
! [X0] :
( ssPv4(X0)
| ssPv1(X0)
| ssPv4(skf2(X0))
| ssPv3(skf2(X0))
| ssPv4(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f1008,f225]) ).
fof(f1021,plain,
! [X0] :
( ssPv3(skf3(X0))
| ~ ssPv1(X0)
| ssPv3(skf2(X0))
| ssPv4(X0)
| ~ ssPv3(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1013]) ).
fof(f1022,plain,
! [X0] :
( ssPv3(skf3(X0))
| ~ ssPv1(X0)
| ssPv3(skf2(X0))
| ~ ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1021,f524]) ).
fof(f1023,plain,
! [X0] :
( ssPv4(skf2(X0))
| ~ ssPv2(X0)
| ssPv3(skf2(X0))
| ssPv4(X0)
| ~ ssPv3(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1014]) ).
fof(f1024,plain,
! [X0] :
( ssPv1(X0)
| ssPv4(skf2(X0))
| ssPv3(skf2(X0))
| ssPv4(X0)
| ~ ssPv3(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1016]) ).
fof(f1025,plain,
! [X0] :
( ssPv1(X0)
| ssPv4(skf2(X0))
| ssPv3(skf2(X0))
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1024,f156]) ).
fof(f1026,plain,
! [X0] :
( ssPv1(skf2(X0))
| ~ ssPv2(X0)
| ~ ssPv1(X0)
| ssPv3(skf3(X0))
| ~ ssPv1(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f1022,f449]) ).
fof(f1028,plain,
! [X0] :
( ssPv1(skf2(X0))
| ~ ssPv2(X0)
| ssPv3(skf3(X0))
| ~ ssPv1(X0)
| ~ ssPv3(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1026]) ).
fof(f1029,plain,
! [X0] :
( ~ ssPv2(X0)
| ssPv3(skf3(X0))
| ~ ssPv1(X0)
| ~ ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1028,f408]) ).
fof(f1044,plain,
! [X0] :
( ssPv3(skf2(X0))
| ssPv2(skf2(X0))
| ssPv1(X0)
| ssPv3(skf2(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f1025,f344]) ).
fof(f1047,plain,
! [X0] :
( ssPv2(skf2(X0))
| ssPv1(X0)
| ssPv3(skf2(X0))
| ssPv4(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1044]) ).
fof(f1052,plain,
! [X0] :
( ssPv2(X0)
| ssPv1(X0)
| ~ ssPv4(skf2(X0))
| ssPv1(X0)
| ssPv3(skf2(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f1047,f379]) ).
fof(f1061,plain,
! [X0] :
( ssPv2(X0)
| ~ ssPv4(skf2(X0))
| ssPv1(X0)
| ssPv3(skf2(X0))
| ssPv4(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1052]) ).
fof(f1062,plain,
! [X0] :
( ssPv2(X0)
| ssPv1(X0)
| ssPv3(skf2(X0))
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1061,f1025]) ).
fof(f1080,plain,
! [X0] :
( ssPv3(X0)
| ssPv4(X0)
| ~ ssPv4(skf3(X0))
| ~ ssPv1(skf3(X0)) ),
inference(resolution,[status(thm)],[f222,f53]) ).
fof(f1088,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(X0)
| ssPv2(X0)
| ssPv3(X0)
| ssPv4(X0)
| ~ ssPv1(skf3(X0)) ),
inference(resolution,[status(thm)],[f1080,f348]) ).
fof(f1093,plain,
! [X0] :
( ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0)
| ssPv4(X0)
| ~ ssPv1(skf3(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f1088]) ).
fof(f1094,plain,
! [X0] :
( ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0)
| ~ ssPv1(skf3(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1093,f344]) ).
fof(f1111,plain,
! [X0] :
( ssPv3(skf2(X0))
| ssPv2(skf2(X0))
| ~ ssPv2(X0)
| ssPv3(skf2(X0))
| ssPv4(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f1023,f344]) ).
fof(f1113,plain,
! [X0] :
( ssPv2(skf2(X0))
| ~ ssPv2(X0)
| ssPv3(skf2(X0))
| ssPv4(X0)
| ~ ssPv3(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1111]) ).
fof(f1128,plain,
! [X0] :
( ssPv3(skf3(X0))
| ssPv2(X0)
| ssPv4(X0)
| ~ ssPv2(skf2(skf3(X0))) ),
inference(resolution,[status(thm)],[f428,f54]) ).
fof(f1130,plain,
! [X0] :
( ssPv3(skf3(X0))
| ssPv1(X0)
| ~ ssPv1(skf3(X0))
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f245,f53]) ).
fof(f1135,plain,
! [X0] :
( ssPv1(X0)
| ~ ssPv2(X0)
| ssPv3(skf3(X0))
| ssPv1(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f1130,f283]) ).
fof(f1138,plain,
! [X0] :
( ~ ssPv2(X0)
| ssPv3(skf3(X0))
| ssPv1(X0)
| ~ ssPv3(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1135]) ).
fof(f1139,plain,
! [X0] :
( ~ ssPv2(X0)
| ssPv3(skf3(X0))
| ~ ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1138,f1029]) ).
fof(f1140,plain,
! [X0] :
( ssPv4(X0)
| ssPv1(X0)
| ~ ssPv2(X0)
| ~ ssPv2(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f1139,f691]) ).
fof(f1143,plain,
! [X0] :
( ssPv4(X0)
| ssPv1(X0)
| ~ ssPv2(X0)
| ~ ssPv3(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1140]) ).
fof(f1144,plain,
! [X0] :
( ssPv4(X0)
| ssPv1(X0)
| ~ ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1143,f637]) ).
fof(f1146,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(skf2(X0))
| ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1062,f1144]) ).
fof(f1167,plain,
! [X0] :
( ssPv1(X0)
| ssPv4(skf3(X0))
| ssPv2(X0)
| ssPv4(skf3(X0))
| ssPv1(skf3(X0)) ),
inference(resolution,[status(thm)],[f1144,f503]) ).
fof(f1173,plain,
! [X0] :
( ssPv1(X0)
| ssPv2(X0)
| ssPv4(skf3(X0))
| ssPv1(skf3(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f1167]) ).
fof(f1174,plain,
! [X0] :
( ssPv1(X0)
| ssPv4(skf3(X0))
| ssPv1(skf3(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1173,f283]) ).
fof(f1179,plain,
! [X0] :
( ssPv4(X0)
| ssPv1(skf3(X0))
| ssPv4(skf3(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f181,f1174]) ).
fof(f1226,plain,
! [X0] :
( ~ ssPv2(skf3(X0))
| ssPv3(skf3(X0))
| ssPv1(skf3(X0))
| ssPv3(skf3(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f1128,f236]) ).
fof(f1233,plain,
! [X0] :
( ~ ssPv2(skf3(X0))
| ssPv1(skf3(X0))
| ssPv3(skf3(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1226]) ).
fof(f1234,plain,
! [X0] :
( ssPv1(skf3(X0))
| ssPv3(skf3(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1233,f868]) ).
fof(f1237,plain,
! [X0] :
( ssPv3(skf3(X0))
| ssPv1(X0)
| ~ ssPv3(X0)
| ssPv3(skf3(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f1234,f1130]) ).
fof(f1241,plain,
! [X0] :
( ssPv1(X0)
| ~ ssPv3(X0)
| ssPv3(skf3(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1237]) ).
fof(f1242,plain,
! [X0] :
( ssPv1(X0)
| ~ ssPv3(X0)
| ssPv3(skf3(X0))
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1241,f1139]) ).
fof(f1244,plain,
! [X0] :
( ssPv4(X0)
| ssPv4(skf2(X0))
| ssPv3(skf3(X0))
| ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f490,f1242]) ).
fof(f1275,plain,
! [X0] :
( ssPv2(skf3(X0))
| ssPv1(skf3(X0))
| ~ ssPv2(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[f307,f53]) ).
fof(f1278,plain,
! [X0] :
( ssPv4(X0)
| ~ ssPv3(skf3(X0))
| ~ ssPv2(skf3(X0))
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[f349,f53]) ).
fof(f1287,plain,
! [X0] :
( ssPv4(skf3(X0))
| ssPv1(skf3(X0))
| ssPv1(skf3(X0))
| ~ ssPv2(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[f1275,f1144]) ).
fof(f1289,plain,
! [X0] :
( ssPv4(skf3(X0))
| ssPv1(skf3(X0))
| ~ ssPv2(X0)
| ~ ssPv4(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1287]) ).
fof(f1290,plain,
! [X0] :
( ssPv4(skf3(X0))
| ssPv1(skf3(X0))
| ~ ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1289,f1179]) ).
fof(f1327,plain,
! [X0] :
( ssPv1(X0)
| ~ ssPv3(skf3(X0))
| ~ ssPv1(skf3(X0))
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[f353,f53]) ).
fof(f1329,plain,
! [X0] :
( ssPv1(X0)
| ~ ssPv3(skf3(X0))
| ~ ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1327,f283]) ).
fof(f1330,plain,
! [X0] :
( ssPv1(X0)
| ~ ssPv2(skf3(X0))
| ~ ssPv1(skf3(X0))
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f367,f53]) ).
fof(f1334,plain,
! [X0] :
( ~ ssPv2(X0)
| ~ ssPv3(X0)
| ssPv1(X0)
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[f1329,f1139]) ).
fof(f1337,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv1(X0)
| ~ ssPv2(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1334]) ).
fof(f1338,plain,
! [X0] :
( ~ ssPv2(X0)
| ~ ssPv4(X0)
| ~ ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f562,f1337]) ).
fof(f1340,plain,
! [X0] :
( ~ ssPv2(X0)
| ssPv1(skf2(X0))
| ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f291,f1337]) ).
fof(f1341,plain,
! [X0] :
( ~ ssPv2(X0)
| ssPv1(X0)
| ssPv2(skf2(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f236,f1337]) ).
fof(f1369,plain,
! [X0] :
( ssPv2(skf2(X0))
| ~ ssPv2(X0)
| ssPv3(skf2(X0))
| ~ ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1113,f1338]) ).
fof(f1373,plain,
! [X0] :
( ssPv4(X0)
| ssPv3(skf3(X0))
| ssPv1(X0)
| ~ ssPv2(skf2(X0))
| ~ ssPv3(skf2(X0)) ),
inference(resolution,[status(thm)],[f1338,f1244]) ).
fof(f1415,plain,
! [X0] :
( ssPv4(X0)
| ssPv3(skf3(X0))
| ssPv1(X0)
| ~ ssPv2(skf2(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1373,f1146]) ).
fof(f1424,plain,
! [X0] :
( ssPv1(skf2(X0))
| ~ ssPv2(X0)
| ~ ssPv3(skf2(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f449,f1340]) ).
fof(f1438,plain,
! [X0] :
( ssPv1(skf2(X0))
| ssPv2(skf2(skf2(X0)))
| ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f170,f1341]) ).
fof(f1440,plain,
! [X0] :
( ssPv1(X0)
| ssPv2(skf2(X0))
| ssPv4(skf3(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f169,f1341]) ).
fof(f1454,plain,
! [X0] :
( ssPv1(skf2(X0))
| ssPv2(skf2(skf2(X0)))
| ~ ssPv2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f228,f1424]) ).
fof(f1515,plain,
! [X0] :
( ssPv2(skf2(X0))
| ssPv2(X0)
| ~ ssPv3(skf2(X0))
| ssPv1(skf2(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f1438,f321]) ).
fof(f1525,plain,
! [X0] :
( ssPv2(skf2(X0))
| ~ ssPv3(skf2(X0))
| ssPv1(skf2(X0))
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1515,f1424]) ).
fof(f1593,plain,
! [X0] :
( ssPv1(X0)
| ssPv4(skf3(X0))
| ssPv2(X0)
| ssPv1(X0)
| ~ ssPv1(skf3(X0))
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f1330,f503]) ).
fof(f1596,plain,
! [X0] :
( ssPv4(skf3(X0))
| ssPv2(X0)
| ssPv1(X0)
| ~ ssPv1(skf3(X0))
| ~ ssPv3(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1593]) ).
fof(f1597,plain,
! [X0] :
( ssPv4(skf3(X0))
| ssPv2(X0)
| ssPv1(X0)
| ~ ssPv1(skf3(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1596,f1094]) ).
fof(f1616,plain,
! [X0] :
( ssPv1(skf2(X0))
| ~ ssPv3(X0)
| ~ ssPv2(X0)
| ssPv3(skf2(X0))
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f1369,f417]) ).
fof(f1624,plain,
! [X0] :
( ssPv1(skf2(X0))
| ~ ssPv2(X0)
| ssPv3(skf2(X0))
| ~ ssPv3(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1616]) ).
fof(f1625,plain,
! [X0] :
( ssPv1(skf2(X0))
| ~ ssPv2(X0)
| ~ ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1624,f1424]) ).
fof(f1627,plain,
! [X0] :
( ssPv4(skf2(X0))
| ~ ssPv3(X0)
| ~ ssPv2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f404,f1625]) ).
fof(f1629,plain,
! [X0] :
( ssPv3(X0)
| ~ ssPv3(skf2(X0))
| ~ ssPv1(skf2(X0))
| ~ ssPv2(skf2(X0))
| ~ ssPv3(skf2(X0)) ),
inference(resolution,[status(thm)],[f1625,f409]) ).
fof(f1636,plain,
! [X0] :
( ssPv3(X0)
| ~ ssPv1(skf2(X0))
| ~ ssPv2(skf2(X0))
| ~ ssPv3(skf2(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f1629]) ).
fof(f1637,plain,
! [X0] :
( ssPv3(X0)
| ~ ssPv2(skf2(X0))
| ~ ssPv3(skf2(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1636,f1337]) ).
fof(f1655,plain,
! [X0] :
( ssPv1(skf2(X0))
| ~ ssPv2(X0)
| ssPv3(skf2(X0))
| ~ ssPv3(skf2(skf2(X0))) ),
inference(resolution,[status(thm)],[f1637,f1454]) ).
fof(f1669,plain,
! [X0] :
( ssPv1(skf2(X0))
| ~ ssPv2(X0)
| ~ ssPv3(skf2(skf2(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[f1655,f1424]) ).
fof(f1692,plain,
! [X0] :
( ssPv1(skf2(X0))
| ssPv4(skf2(X0))
| ssPv1(skf2(X0))
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[f1669,f1146]) ).
fof(f1696,plain,
! [X0] :
( ssPv4(skf2(X0))
| ssPv1(skf2(X0))
| ~ ssPv2(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1692]) ).
fof(f1705,plain,
! [X0] :
( ssPv3(skf2(X0))
| ssPv2(skf2(X0))
| ssPv1(skf2(X0))
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[f1696,f344]) ).
fof(f1706,plain,
! [X0] :
( ssPv2(skf2(X0))
| ssPv1(skf2(X0))
| ~ ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1705,f1424]) ).
fof(f1735,plain,
! [X0] :
( ssPv1(X0)
| ssPv4(skf3(X0))
| ssPv4(X0)
| ssPv3(skf3(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f1415,f1440]) ).
fof(f1738,plain,
! [X0] :
( ssPv3(X0)
| ssPv3(skf3(X0))
| ssPv1(X0)
| ssPv4(X0)
| ssPv3(skf3(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f1415,f492]) ).
fof(f1745,plain,
! [X0] :
( ssPv4(skf3(X0))
| ssPv4(X0)
| ssPv3(skf3(X0))
| ssPv1(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1735]) ).
fof(f1746,plain,
! [X0] :
( ssPv4(skf3(X0))
| ssPv4(X0)
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1745,f214]) ).
fof(f1748,plain,
! [X0] :
( ssPv3(X0)
| ssPv4(X0)
| ssPv3(skf3(X0))
| ssPv1(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1738]) ).
fof(f1749,plain,
! [X0] :
( ssPv4(X0)
| ssPv3(skf3(X0))
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1748,f1242]) ).
fof(f1752,plain,
! [X0] :
( ~ ssPv2(skf3(X0))
| ~ ssPv3(skf3(X0))
| ssPv4(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f1746,f1338]) ).
fof(f1757,plain,
! [X0] :
( ~ ssPv2(skf3(X0))
| ~ ssPv3(skf3(X0))
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1752,f1278]) ).
fof(f1811,plain,
! [X0] :
( ssPv4(skf3(X0))
| ssPv3(skf3(X0))
| ssPv2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f848,f1812]) ).
fof(f1812,plain,
! [X0] :
( ssPv4(skf3(X0))
| ssPv2(X0)
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1597,f1174]) ).
fof(f1816,plain,
! [X0] :
( ~ ssPv2(skf3(X0))
| ~ ssPv3(skf3(X0))
| ssPv2(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f1812,f1338]) ).
fof(f1817,plain,
! [X0] :
( ssPv3(skf3(X0))
| ssPv2(skf3(X0))
| ssPv2(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f1812,f344]) ).
fof(f1818,plain,
! [X0] :
( ~ ssPv2(skf3(X0))
| ~ ssPv3(skf3(X0))
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1816,f1329]) ).
fof(f1819,plain,
! [X0] :
( ssPv3(skf3(X0))
| ssPv2(skf3(X0))
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1817,f867]) ).
fof(f1843,plain,
! [X0] :
( ssPv3(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv1(skf2(skf3(X0))) ),
inference(backward_subsumption_resolution,[status(thm)],[f335,f1819]) ).
fof(f1947,plain,
! [X0] :
( ssPv1(skf2(X0))
| ssPv4(X0)
| ~ ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1008,f1948]) ).
fof(f1948,plain,
! [X0] :
( ~ ssPv3(skf2(X0))
| ssPv1(skf2(X0))
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1525,f1337]) ).
fof(f1950,plain,
! [X0] :
( ssPv1(X0)
| ssPv4(X0)
| ssPv1(skf2(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f1948,f1146]) ).
fof(f1954,plain,
! [X0] :
( ssPv1(X0)
| ssPv1(skf2(X0))
| ssPv4(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1950]) ).
fof(f1960,plain,
! [X0] :
( ssPv3(skf3(X0))
| ~ ssPv3(X0)
| ~ ssPv1(X0)
| ssPv4(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f1947,f408]) ).
fof(f1965,plain,
! [X0] :
( ssPv3(skf3(X0))
| ~ ssPv1(X0)
| ssPv4(X0)
| ~ ssPv3(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1960]) ).
fof(f1966,plain,
! [X0] :
( ssPv3(skf3(X0))
| ssPv4(X0)
| ~ ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1965,f1749]) ).
fof(f1968,plain,
! [X0] :
( ssPv3(X0)
| ssPv1(skf2(X0))
| ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f292,f1954]) ).
fof(f1969,plain,
! [X0] :
( ssPv4(X0)
| ssPv1(X0)
| ssPv4(skf2(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f225,f1954]) ).
fof(f1976,plain,
! [X0] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv2(skf2(X0))
| ssPv1(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f1954,f194]) ).
fof(f1977,plain,
! [X0] :
( ssPv3(X0)
| ssPv2(skf2(X0))
| ssPv1(X0)
| ssPv4(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1976]) ).
fof(f1978,plain,
! [X0] :
( ssPv3(X0)
| ssPv2(skf2(X0))
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1977,f233]) ).
fof(f1983,plain,
! [X0] :
( ssPv4(X0)
| ssPv3(skf3(X0))
| ~ ssPv4(skf3(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f184,f1966]) ).
fof(f1984,plain,
! [X0,X1] :
( ssPv4(X1)
| ssPv3(skf3(X1))
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f175,f1966]) ).
fof(f1991,plain,
! [X0] :
( ssPv3(X0)
| ssPv1(skf2(X0))
| ~ ssPv3(skf2(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f258,f1968]) ).
fof(f2010,plain,
! [X0] :
( ~ ssPv2(skf2(X0))
| ~ ssPv3(skf2(X0))
| ssPv4(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f1969,f1338]) ).
fof(f2013,plain,
! [X0] :
( ~ ssPv2(skf2(X0))
| ssPv4(X0)
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2010,f1146]) ).
fof(f2022,plain,
! [X0] :
( ssPv3(X0)
| ssPv2(X0)
| ~ ssPv1(skf2(X0))
| ssPv3(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f1978,f336]) ).
fof(f2033,plain,
! [X0] :
( ssPv2(X0)
| ~ ssPv1(skf2(X0))
| ssPv3(X0)
| ssPv1(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f2022]) ).
fof(f2034,plain,
! [X0] :
( ssPv2(X0)
| ssPv3(X0)
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2033,f1968]) ).
fof(f2051,plain,
! [X0] :
( ssPv1(skf2(X0))
| ssPv1(X0)
| ssPv3(skf2(X0))
| ssPv1(skf2(X0)) ),
inference(resolution,[status(thm)],[f2034,f284]) ).
fof(f2054,plain,
! [X0] :
( ssPv4(X0)
| ssPv1(X0)
| ssPv3(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f2034,f1144]) ).
fof(f2059,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(skf2(X0))
| ssPv1(skf2(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f2051]) ).
fof(f2060,plain,
! [X0] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv1(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f2054]) ).
fof(f2064,plain,
! [X0] :
( ssPv3(X0)
| ssPv1(X0)
| ssPv2(skf3(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f161,f2060]) ).
fof(f2065,plain,
! [X0,X1] :
( ssPv3(X1)
| ssPv1(X1)
| ssPv2(X0)
| ~ ssRr(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f62,f2060]) ).
fof(f2066,plain,
! [X0] :
( ssPv3(skf2(X0))
| ssPv1(skf2(X0))
| ssPv2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f162,f2060]) ).
fof(f2080,plain,
! [X0,X1] :
( ssPv3(skf3(X1))
| ssPv1(skf3(X1))
| ssPv2(X1)
| ~ ssRr(X0,skf3(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[f218,f2065]) ).
fof(f2089,plain,
! [X0] :
( ssPv1(skf2(X0))
| ssPv4(X0)
| ssPv4(skf2(X0))
| ssPv1(skf2(X0)) ),
inference(resolution,[status(thm)],[f2013,f1438]) ).
fof(f2102,plain,
! [X0] :
( ssPv4(X0)
| ssPv4(skf2(X0))
| ssPv1(skf2(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f2089]) ).
fof(f2148,plain,
! [X0] :
( ssPv3(skf3(X0))
| ssPv2(X0)
| ssPv4(X0)
| ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[f1983,f1811]) ).
fof(f2158,plain,
! [X0] :
( ssPv2(X0)
| ssPv4(X0)
| ssPv3(skf3(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f2148]) ).
fof(f2168,plain,
! [X0] :
( ssPv3(X0)
| ~ ssPv3(skf2(X0))
| ~ ssPv1(skf2(skf2(X0))) ),
inference(backward_subsumption_resolution,[status(thm)],[f409,f1991]) ).
fof(f2199,plain,
! [X0] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv2(skf2(X0))
| ssPv3(skf2(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f2066,f194]) ).
fof(f2204,plain,
! [X0] :
( ssPv3(X0)
| ssPv2(skf2(X0))
| ssPv3(skf2(X0))
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2199,f860]) ).
fof(f2205,plain,
! [X0] :
( ssPv4(skf2(X0))
| ssPv1(skf3(skf2(X0)))
| ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f182,f2102]) ).
fof(f2242,plain,
! [X0] :
( ssPv4(skf2(X0))
| ~ ssPv3(skf2(X0))
| ssPv3(X0)
| ~ ssPv3(skf2(X0)) ),
inference(resolution,[status(thm)],[f2168,f1947]) ).
fof(f2247,plain,
! [X0] :
( ssPv4(skf2(X0))
| ssPv3(X0)
| ~ ssPv3(skf2(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f2242]) ).
fof(f2267,plain,
! [X0,X1] :
( ssPv1(skf2(X1))
| ssPv3(skf2(X1))
| ~ ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f479,f2059]) ).
fof(f2268,plain,
! [X0] :
( ssPv1(skf2(X0))
| ssPv3(skf2(X0))
| ~ ssPv1(skf3(X0)) ),
inference(resolution,[status(thm)],[f2267,f53]) ).
fof(f2354,plain,
! [X0] :
( ssPv3(X0)
| ssPv2(X0)
| ~ ssPv1(skf2(X0))
| ssPv3(X0)
| ssPv3(skf2(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f2204,f336]) ).
fof(f2362,plain,
! [X0] :
( ~ ssPv1(skf2(X0))
| ssPv3(X0)
| ssPv3(skf2(X0))
| ssPv2(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f2354]) ).
fof(f2363,plain,
! [X0] :
( ssPv3(X0)
| ssPv3(skf2(X0))
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2362,f2066]) ).
fof(f2366,plain,
! [X0] :
( ssPv4(skf2(X0))
| ssPv3(X0)
| ssPv3(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f2363,f2247]) ).
fof(f2367,plain,
! [X0] :
( ssPv3(X0)
| ssPv1(skf2(X0))
| ssPv3(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f2363,f1991]) ).
fof(f2373,plain,
! [X0] :
( ssPv4(skf2(X0))
| ssPv3(X0)
| ssPv2(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f2366]) ).
fof(f2374,plain,
! [X0] :
( ssPv1(skf2(X0))
| ssPv3(X0)
| ssPv2(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f2367]) ).
fof(f2381,plain,
! [X0] :
( ssPv2(X0)
| ssPv2(skf3(X0))
| ~ ssPv1(X0)
| ssPv3(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f2373,f330]) ).
fof(f2387,plain,
! [X0] :
( ssPv2(skf3(X0))
| ~ ssPv1(X0)
| ssPv3(X0)
| ssPv2(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f2381]) ).
fof(f2388,plain,
! [X0] :
( ssPv2(skf3(X0))
| ssPv3(X0)
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2387,f2064]) ).
fof(f2390,plain,
! [X0] :
( ssPv3(X0)
| ssPv2(X0)
| ~ ssPv2(skf2(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f336,f2374]) ).
fof(f2392,plain,
! [X0] :
( ssPv3(skf3(X0))
| ssPv2(skf3(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f1843,f2374]) ).
fof(f2398,plain,
! [X0] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv2(skf2(X0))
| ssPv3(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f2374,f194]) ).
fof(f2401,plain,
! [X0] :
( ssPv4(X0)
| ssPv2(skf2(X0))
| ssPv3(X0)
| ssPv2(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f2398]) ).
fof(f2402,plain,
! [X0] :
( ssPv2(skf2(X0))
| ssPv3(X0)
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2401,f344]) ).
fof(f2403,plain,
! [X0,X1] :
( ssPv2(skf3(X1))
| ssPv2(X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,skf3(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[f264,f2392]) ).
fof(f2424,plain,
! [X0] :
( ssPv2(X0)
| ssPv2(skf3(X0))
| ~ ssPv2(skf2(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f320,f2388]) ).
fof(f2439,plain,
! [X0] :
( ssPv2(skf2(X0))
| ssPv2(X0)
| ~ ssPv2(skf2(skf2(X0))) ),
inference(backward_subsumption_resolution,[status(thm)],[f321,f2390]) ).
fof(f2459,plain,
! [X0] :
( ssPv3(X0)
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2402,f2390]) ).
fof(f2490,plain,
! [X0] :
( ssPv3(skf2(X0))
| ssPv2(X0)
| ssPv2(skf3(X0)) ),
inference(resolution,[status(thm)],[f2424,f2459]) ).
fof(f2496,plain,
! [X0] :
( ~ ssPv3(skf3(X0))
| ssPv1(X0)
| ssPv3(skf2(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f2490,f1818]) ).
fof(f2497,plain,
! [X0] :
( ~ ssPv3(skf3(X0))
| ssPv4(X0)
| ssPv3(skf2(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f2490,f1757]) ).
fof(f2501,plain,
! [X0] :
( ssPv4(skf3(X0))
| ssPv1(skf3(X0))
| ssPv3(skf2(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f2490,f1144]) ).
fof(f2502,plain,
! [X0] :
( ~ ssPv3(skf3(X0))
| ssPv1(X0)
| ssPv3(skf2(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2496,f1329]) ).
fof(f2503,plain,
! [X0] :
( ssPv4(X0)
| ssPv3(skf2(X0))
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2497,f2158]) ).
fof(f2505,plain,
! [X0] :
( ssPv4(skf3(X0))
| ssPv1(skf3(X0))
| ssPv3(skf2(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2501,f1290]) ).
fof(f2506,plain,
! [X0] :
( ssPv2(X0)
| ssPv3(skf2(X0))
| ~ ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f465,f2503]) ).
fof(f2552,plain,
! [X0] :
( ssPv1(skf2(X0))
| ssPv3(skf2(X0))
| ssPv4(skf3(X0))
| ssPv3(skf2(X0)) ),
inference(resolution,[status(thm)],[f2505,f2268]) ).
fof(f2559,plain,
! [X0] :
( ssPv1(skf2(X0))
| ssPv4(skf3(X0))
| ssPv3(skf2(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f2552]) ).
fof(f2575,plain,
! [X0] :
( ssPv3(skf2(X0))
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ssPv4(skf3(X0))
| ssPv3(skf2(X0)) ),
inference(resolution,[status(thm)],[f2559,f463]) ).
fof(f2579,plain,
! [X0] :
( ~ ssPv4(X0)
| ~ ssPv1(X0)
| ssPv4(skf3(X0))
| ssPv3(skf2(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f2575]) ).
fof(f2776,plain,
! [X0] :
( ssPv2(skf3(X0))
| ssPv2(skf3(skf3(X0)))
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[f2403,f53]) ).
fof(f2782,plain,
! [X0] :
( ssPv2(skf2(X0))
| ~ ssPv1(X0)
| ~ ssPv3(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[f611,f54]) ).
fof(f2785,plain,
! [X0] :
( ssPv2(X0)
| ssPv2(skf3(X0))
| ~ ssPv1(X0)
| ~ ssPv3(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[f2782,f2424]) ).
fof(f2788,plain,
! [X0] :
( ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssPv1(skf2(X0))
| ~ ssPv1(X0)
| ~ ssPv3(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[f2782,f456]) ).
fof(f2789,plain,
! [X0] :
( ssPv1(skf2(X0))
| ~ ssPv3(X0)
| ~ ssPv1(X0)
| ~ ssPv3(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[f2782,f417]) ).
fof(f2796,plain,
! [X0] :
( ssPv2(X0)
| ssPv2(skf3(X0))
| ~ ssPv1(X0)
| ~ ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2785,f2459]) ).
fof(f2797,plain,
! [X0] :
( ~ ssPv1(skf2(X0))
| ~ ssPv1(X0)
| ~ ssPv3(X0)
| ~ ssPv4(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f2788]) ).
fof(f2798,plain,
! [X0] :
( ssPv1(skf2(X0))
| ~ ssPv1(X0)
| ~ ssPv3(X0)
| ~ ssPv4(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f2789]) ).
fof(f2799,plain,
! [X0] :
( ssPv1(skf2(X0))
| ~ ssPv1(X0)
| ~ ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2798,f1947]) ).
fof(f2804,plain,
! [X0] :
( ssPv3(skf3(X0))
| ~ ssPv3(X0)
| ~ ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f408,f2799]) ).
fof(f2805,plain,
! [X0] :
( ssPv3(X0)
| ~ ssPv3(skf2(X0))
| ~ ssPv1(skf2(X0))
| ~ ssPv3(skf2(X0)) ),
inference(resolution,[status(thm)],[f2799,f2168]) ).
fof(f2810,plain,
! [X0] :
( ssPv3(X0)
| ~ ssPv1(skf2(X0))
| ~ ssPv3(skf2(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f2805]) ).
fof(f2811,plain,
! [X0] :
( ssPv3(X0)
| ~ ssPv3(skf2(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2810,f1991]) ).
fof(f2833,plain,
! [X0] :
( ssPv3(skf3(X0))
| ~ ssPv1(skf3(X0))
| ~ ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1130,f2804]) ).
fof(f2867,plain,
! [X0] :
( ~ ssPv1(X0)
| ~ ssPv3(X0)
| ~ ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2797,f2799]) ).
fof(f2871,plain,
! [X0] :
( ssPv4(X0)
| ssPv1(X0)
| ~ ssPv1(skf2(X0))
| ~ ssPv3(skf2(X0)) ),
inference(resolution,[status(thm)],[f2867,f1969]) ).
fof(f2891,plain,
! [X0] :
( ssPv4(X0)
| ssPv1(X0)
| ~ ssPv1(skf2(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2871,f1146]) ).
fof(f2894,plain,
! [X0,X1] :
( ssPv2(X1)
| ssPv4(skf2(X1))
| ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f440,f2900]) ).
fof(f2895,plain,
! [X0,X1] :
( ssPv4(skf2(X1))
| ssPv1(X1)
| ssPv4(X0)
| ~ ssRr(X0,skf2(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[f174,f2900]) ).
fof(f2900,plain,
! [X0] :
( ssPv4(X0)
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2891,f1954]) ).
fof(f2934,plain,
! [X0] :
( ~ ssPv3(skf3(skf3(X0)))
| ssPv4(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[f2776,f1757]) ).
fof(f2939,plain,
! [X0] :
( ssPv4(skf3(X0))
| ssPv2(skf3(X0))
| ~ ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2934,f2158]) ).
fof(f2952,plain,
! [X0] :
( ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[f2894,f53]) ).
fof(f2958,plain,
! [X0] :
( ssPv4(skf3(X0))
| ~ ssPv4(X0)
| ~ ssPv3(X0)
| ssPv2(X0)
| ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[f2952,f398]) ).
fof(f2959,plain,
! [X0] :
( ssPv2(X0)
| ssPv2(skf3(X0))
| ~ ssPv1(X0)
| ssPv2(X0)
| ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[f2952,f330]) ).
fof(f2968,plain,
! [X0] :
( ~ ssPv4(X0)
| ~ ssPv3(X0)
| ssPv2(X0)
| ssPv4(skf3(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f2958]) ).
fof(f2969,plain,
! [X0] :
( ~ ssPv4(X0)
| ~ ssPv3(X0)
| ssPv4(skf3(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2968,f1338]) ).
fof(f2970,plain,
! [X0] :
( ssPv2(skf3(X0))
| ~ ssPv1(X0)
| ssPv2(X0)
| ssPv4(skf3(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f2959]) ).
fof(f2971,plain,
! [X0] :
( ssPv2(skf3(X0))
| ~ ssPv1(X0)
| ssPv4(skf3(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2970,f2939]) ).
fof(f2982,plain,
! [X0] :
( ~ ssPv2(skf3(X0))
| ~ ssPv3(skf3(X0))
| ~ ssPv4(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f2969,f1338]) ).
fof(f2984,plain,
! [X0] :
( ~ ssPv2(skf3(X0))
| ~ ssPv3(skf3(X0))
| ~ ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2982,f1757]) ).
fof(f2996,plain,
! [X0,X1] :
( ssPv2(skf3(X1))
| ssPv2(X0)
| ~ ssPv1(X1)
| ~ ssRr(X0,skf3(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[f262,f2971]) ).
fof(f2998,plain,
! [X0] :
( ~ ssPv3(skf3(X0))
| ssPv4(X0)
| ~ ssPv1(X0)
| ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[f2971,f1757]) ).
fof(f3002,plain,
! [X0] :
( ~ ssPv3(skf3(X0))
| ssPv4(X0)
| ssPv4(skf3(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2998,f2900]) ).
fof(f3003,plain,
! [X0] :
( ssPv2(skf3(X0))
| ~ ssPv2(X0)
| ~ ssPv3(skf3(skf3(X0)))
| ~ ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[f2984,f2776]) ).
fof(f3012,plain,
! [X0] :
( ssPv2(skf3(X0))
| ~ ssPv2(X0)
| ~ ssPv3(skf3(skf3(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[f3003,f2459]) ).
fof(f3054,plain,
! [X0] :
( ssPv4(X0)
| ~ ssPv3(X0)
| ssPv4(X0)
| ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[f3002,f1966]) ).
fof(f3058,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv4(X0)
| ssPv4(skf3(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f3054]) ).
fof(f3059,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv4(skf3(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f3058,f2969]) ).
fof(f3065,plain,
! [X0] :
( ~ ssPv1(skf3(X0))
| ~ ssPv3(skf3(X0))
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f3059,f2867]) ).
fof(f3067,plain,
! [X0] :
( ~ ssPv1(skf3(X0))
| ~ ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3065,f2833]) ).
fof(f3073,plain,
! [X0] :
( ssPv4(skf2(X0))
| ssPv4(X0)
| ~ ssPv3(skf2(X0)) ),
inference(resolution,[status(thm)],[f3067,f2205]) ).
fof(f3135,plain,
! [X0] :
( ssPv2(X0)
| ~ ssPv1(X0)
| ssPv4(skf2(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f3073,f2506]) ).
fof(f3137,plain,
! [X0] :
( ssPv2(X0)
| ssPv4(skf2(X0))
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3135,f2900]) ).
fof(f3142,plain,
! [X0] :
( ssPv2(X0)
| ssPv2(skf3(X0))
| ~ ssPv1(X0)
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f3137,f330]) ).
fof(f3149,plain,
! [X0] :
( ssPv2(skf3(X0))
| ~ ssPv1(X0)
| ssPv2(X0)
| ssPv4(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f3142]) ).
fof(f3150,plain,
! [X0] :
( ssPv2(skf3(X0))
| ~ ssPv1(X0)
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3149,f2796]) ).
fof(f3158,plain,
! [X0] :
( ~ ssPv3(skf3(X0))
| ~ ssPv3(X0)
| ~ ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f3150,f2984]) ).
fof(f3163,plain,
! [X0] :
( ~ ssPv3(skf3(X0))
| ~ ssPv1(X0)
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3158,f2459]) ).
fof(f3167,plain,
! [X0] :
( ~ ssPv3(X0)
| ~ ssPv1(X0)
| ~ ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f3163,f2804]) ).
fof(f3168,plain,
! [X0] :
( ssPv2(X0)
| ssPv4(X0)
| ~ ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f3163,f2158]) ).
fof(f3172,plain,
! [X0] :
( ~ ssPv3(X0)
| ~ ssPv1(X0)
| ssPv2(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f3167]) ).
fof(f3173,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3172,f2459]) ).
fof(f3174,plain,
! [X0] :
( ssPv4(X0)
| ~ ssPv1(X0)
| ssPv2(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f3168]) ).
fof(f3175,plain,
! [X0] :
( ssPv4(X0)
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3174,f2900]) ).
fof(f3182,plain,
! [X0] :
( ssPv2(skf2(X0))
| ~ ssPv2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1706,f3173]) ).
fof(f3201,plain,
! [X0] :
( ~ ssPv1(X0)
| ~ ssPv3(X0)
| ssPv2(skf2(X0)) ),
inference(resolution,[status(thm)],[f3173,f2799]) ).
fof(f3221,plain,
! [X0] :
( ssPv2(X0)
| ssPv2(skf3(X0))
| ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[f3175,f2424]) ).
fof(f3227,plain,
! [X0] :
( ssPv2(skf2(X0))
| ~ ssPv2(skf2(skf2(X0))) ),
inference(backward_subsumption_resolution,[status(thm)],[f2439,f3182]) ).
fof(f3282,plain,
! [X0] :
( ~ ssPv4(skf2(X0))
| ~ ssPv3(skf2(X0))
| ~ ssPv1(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f3201,f1338]) ).
fof(f3286,plain,
! [X0] :
( ~ ssPv4(skf2(X0))
| ~ ssPv3(skf2(X0))
| ~ ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3282,f2811]) ).
fof(f3318,plain,
! [X0] :
( ssPv1(skf2(X0))
| ssPv4(X0)
| ssPv2(skf2(X0)) ),
inference(resolution,[status(thm)],[f3227,f1438]) ).
fof(f3328,plain,
! [X0] :
( ssPv4(X0)
| ssPv2(skf2(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f3318,f3173]) ).
fof(f3385,plain,
! [X0,X1] :
( ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv3(skf3(X1))
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f687,f54]) ).
fof(f3387,plain,
! [X0,X1] :
( ssPv1(X1)
| ~ ssPv3(skf3(X1))
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f3385,f2502]) ).
fof(f3392,plain,
! [X0] :
( ~ ssPv3(skf3(X0))
| ~ ssPv3(X0)
| ssPv2(X0)
| ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[f3221,f2984]) ).
fof(f3397,plain,
! [X0] :
( ~ ssPv3(skf3(X0))
| ~ ssPv3(X0)
| ssPv4(skf2(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f3392,f1627]) ).
fof(f3430,plain,
! [X0] :
( ~ ssPv3(X0)
| ~ ssPv1(X0)
| ~ ssPv3(X0)
| ssPv4(skf2(X0)) ),
inference(resolution,[status(thm)],[f3397,f2804]) ).
fof(f3434,plain,
! [X0] :
( ~ ssPv1(X0)
| ~ ssPv3(X0)
| ssPv4(skf2(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f3430]) ).
fof(f3437,plain,
! [X0] :
( ~ ssPv3(skf2(X0))
| ~ ssPv1(X0)
| ~ ssPv1(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f3434,f3286]) ).
fof(f3441,plain,
! [X0] :
( ~ ssPv3(skf2(X0))
| ~ ssPv1(X0)
| ~ ssPv3(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f3437]) ).
fof(f3442,plain,
! [X0] :
( ~ ssPv3(skf2(X0))
| ~ ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3441,f2811]) ).
fof(f3447,plain,
! [X0] :
( ~ ssPv4(X0)
| ~ ssPv1(X0)
| ssPv4(skf3(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f2579,f3442]) ).
fof(f3465,plain,
! [X0] :
( ~ ssPv2(skf3(X0))
| ~ ssPv3(skf3(X0))
| ~ ssPv4(X0)
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[f3447,f1338]) ).
fof(f3467,plain,
! [X0] :
( ~ ssPv2(skf3(X0))
| ~ ssPv3(skf3(X0))
| ~ ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3465,f1818]) ).
fof(f3491,plain,
! [X0] :
( ~ ssPv2(skf3(X0))
| ~ ssPv3(skf3(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f3467,f1757]) ).
fof(f3604,plain,
! [X0] :
( ssPv3(skf3(X0))
| ssPv1(skf3(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f2080,f53]) ).
fof(f3609,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv3(skf3(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f3604,f3067]) ).
fof(f3613,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv3(skf3(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f3609,f1139]) ).
fof(f3616,plain,
! [X0] :
( ssPv2(skf3(X0))
| ~ ssPv2(X0)
| ~ ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[f3613,f3012]) ).
fof(f3628,plain,
! [X0] :
( ssPv2(skf3(X0))
| ~ ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3616,f2459]) ).
fof(f3646,plain,
! [X0] :
( ssPv2(skf3(X0))
| ~ ssPv2(skf2(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f2424,f3628]) ).
fof(f3649,plain,
! [X0] :
( ~ ssPv3(skf3(X0))
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[f3628,f3491]) ).
fof(f3677,plain,
! [X0] :
( ~ ssPv3(X0)
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[f3649,f3613]) ).
fof(f3688,plain,
! [X0] :
( ssPv4(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f3677,f3175]) ).
fof(f3736,plain,
! [X0] :
( ssPv4(X0)
| ssPv2(skf3(X0)) ),
inference(resolution,[status(thm)],[f3646,f3328]) ).
fof(f3743,plain,
! [X0] :
( ~ ssPv3(skf3(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f3736,f3677]) ).
fof(f3745,plain,
! [X0,X1] :
( ssPv4(X1)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f1984,f3743]) ).
fof(f3792,plain,
! [X0,X1] :
( ssPv4(skf2(X1))
| ssPv1(X1)
| ~ ssRr(X0,skf2(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[f2895,f3745]) ).
fof(f3798,plain,
! [X0,X1,X2,X3] :
( ssPv3(X3)
| ~ ssRr(X1,X3)
| ~ ssPv2(X2)
| ~ ssRr(X2,X1)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f146,f3745]) ).
fof(f3817,plain,
! [X0] :
( ssPv2(skf3(X0))
| ssPv2(skf3(skf3(X0)))
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[f2996,f53]) ).
fof(f3818,plain,
! [X0] :
( ssPv2(skf3(skf3(X0)))
| ~ ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3817,f3628]) ).
fof(f3819,plain,
! [X0] :
( ~ ssPv3(skf3(skf3(X0)))
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[f3818,f3677]) ).
fof(f3820,plain,
! [X0] :
( ~ ssPv3(skf3(X0))
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[f3819,f3613]) ).
fof(f3834,plain,
! [X0] :
( ssPv4(skf2(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f3792,f53]) ).
fof(f3858,plain,
! [X0,X1] :
( ~ ssPv3(skf3(X1))
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f3387,f3820]) ).
fof(f3859,plain,
! [X0] :
( ~ ssPv3(skf3(X0))
| ~ ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[f3858,f53]) ).
fof(f3861,plain,
! [X0] : ~ ssPv3(skf3(X0)),
inference(forward_subsumption_resolution,[status(thm)],[f3859,f3688]) ).
fof(f3866,plain,
! [X0] : ~ ssPv3(X0),
inference(backward_subsumption_resolution,[status(thm)],[f3613,f3861]) ).
fof(f3873,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X1,X3)
| ~ ssPv2(X2)
| ~ ssRr(X2,X1)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f3798,f3866]) ).
fof(f3878,plain,
! [X0] : ssPv2(X0),
inference(backward_subsumption_resolution,[status(thm)],[f2459,f3866]) ).
fof(f3889,plain,
! [X0,X1,X2,X3] :
( ~ ssPv2(X1)
| ~ ssPv1(X3)
| ~ ssRr(X1,X3)
| ~ ssRr(X2,X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f138,f3866]) ).
fof(f3902,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X1,X3)
| ~ ssRr(X2,X1)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f3873,f3878]) ).
fof(f3903,plain,
! [X0,X1,X2] :
( ~ ssRr(X1,X2)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f3902,f53]) ).
fof(f3913,plain,
! [X0,X1,X2,X3] :
( ~ ssPv2(X1)
| ~ ssPv1(X3)
| ~ ssRr(X1,X3)
| ~ ssRr(X2,X1)
| ~ ssRr(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f3889,f3878]) ).
fof(f3914,plain,
! [X0,X1,X2] :
( ~ ssPv2(X1)
| ~ ssPv1(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f3913,f53]) ).
fof(f3918,plain,
! [X0,X1,X2] :
( ~ ssPv1(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f3914,f3878]) ).
fof(f3929,plain,
! [X0,X1] :
( ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f3903,f54]) ).
fof(f3931,plain,
! [X0] : ~ ssPv4(X0),
inference(resolution,[status(thm)],[f3929,f54]) ).
fof(f3935,plain,
! [X0] : ssPv1(X0),
inference(backward_subsumption_resolution,[status(thm)],[f3834,f3931]) ).
fof(f3949,plain,
! [X0,X1,X2] :
( ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f3918,f3935]) ).
fof(f3951,plain,
! [X0,X1] : ~ ssRr(X0,X1),
inference(resolution,[status(thm)],[f3949,f54]) ).
fof(f3953,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f53,f3951]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN796-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 11:16:48 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 10.13/1.77 % Refutation found
% 10.13/1.77 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 10.13/1.77 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.12/1.81 % Elapsed time: 1.429737 seconds
% 4.12/1.81 % CPU time: 10.907625 seconds
% 4.12/1.81 % Total memory used: 44.277 MB
% 4.12/1.81 % Net memory used: 36.017 MB
%------------------------------------------------------------------------------