TSTP Solution File: SYN755-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN755-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:52:58 EDT 2024
% Result : Unsatisfiable 1.59s 0.60s
% Output : CNFRefutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 65
% Number of leaves : 35
% Syntax : Number of formulae : 265 ( 7 unt; 0 def)
% Number of atoms : 1290 ( 0 equ)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 1731 ( 706 ~;1025 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 622 ( 622 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [U] : ssRr(U,skf1(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [U,V] :
( ~ ssRr(U,V)
| ~ ssPv1(V)
| ssPv1(U)
| ssPv2(U)
| ssPv3(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [U,V] :
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssPv2(U)
| ssPv3(U)
| ssPv4(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [U,V] :
( ~ ssRr(U,V)
| ~ ssPv1(V)
| ~ ssPv2(U)
| ssPv3(U)
| ssPv4(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [U,V] :
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssPv2(U)
| ssPv1(U)
| ssPv3(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [U,V] :
( ~ ssRr(U,V)
| ~ ssPv1(V)
| ~ ssPv2(U)
| ~ ssPv3(U)
| ~ ssPv4(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssRr(U,W)
| ssPv4(V)
| ssPv1(W)
| ssPv2(U)
| ssPv3(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssRr(U,W)
| ~ ssPv1(U)
| ssPv4(V)
| ssPv1(W)
| ssPv4(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssRr(U,W)
| ~ ssPv2(U)
| ssPv3(V)
| ssPv2(W)
| ssPv3(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv1(V)
| ~ ssRr(U,W)
| ssPv3(W)
| ssPv3(U)
| ssPv4(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(U,W)
| ssPv4(W)
| ssPv2(U)
| ssPv4(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(U,W)
| ssPv3(W)
| ssPv2(U)
| ssPv3(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ~ ssRr(U,W)
| ssPv3(W)
| ssPv1(U)
| ssPv2(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv1(V)
| ~ ssRr(U,W)
| ssPv3(W)
| ssPv1(U)
| ssPv2(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(U,W)
| ~ ssPv2(U)
| ssPv2(W)
| ssPv4(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv1(V)
| ~ ssRr(U,W)
| ~ ssPv2(U)
| ssPv2(W)
| ssPv3(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(U,W)
| ~ ssPv3(U)
| ssPv3(W)
| ssPv2(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ~ ssRr(U,W)
| ~ ssPv1(U)
| ssPv4(W)
| ssPv2(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(U,W)
| ~ ssPv1(U)
| ssPv2(W)
| ssPv2(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(U,W)
| ~ ssPv3(W)
| ssPv2(U)
| ssPv4(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(U,W)
| ~ ssPv3(U)
| ssPv4(W)
| ssPv1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(U,W)
| ~ ssPv2(U)
| ssPv4(W)
| ssPv1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(U,W)
| ~ ssPv2(W)
| ssPv1(U)
| ssPv3(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(U,W)
| ~ ssPv2(U)
| ~ ssPv4(U)
| ssPv3(W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ~ ssRr(U,W)
| ~ ssPv2(U)
| ~ ssPv4(U)
| ssPv1(W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(U,W)
| ~ ssPv3(W)
| ~ ssPv4(U)
| ssPv3(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(U,W)
| ~ ssPv1(W)
| ~ ssPv4(U)
| ssPv3(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(U,W)
| ~ ssPv3(W)
| ~ ssPv3(U)
| ssPv1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ~ ssRr(U,W)
| ~ ssRr(U,X)
| ssPv3(W)
| ssPv1(X)
| ssPv4(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(U,W)
| ~ ssRr(U,X)
| ~ ssPv4(U)
| ssPv3(W)
| ssPv2(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ~ ssRr(U,W)
| ~ ssRr(U,X)
| ~ ssPv3(U)
| ssPv4(W)
| ssPv3(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(U,W)
| ~ ssPv2(W)
| ~ ssRr(U,X)
| ~ ssPv1(U)
| ssPv4(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(U,W)
| ~ ssPv2(W)
| ~ ssRr(U,X)
| ~ ssPv1(U)
| ssPv3(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(U,W)
| ~ ssPv1(W)
| ~ ssRr(U,X)
| ~ ssPv3(U)
| ssPv4(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ~ ssRr(U,W)
| ~ ssPv2(W)
| ~ ssRr(U,X)
| ~ ssPv1(X)
| ~ ssPv3(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,plain,
! [X0] : ssRr(X0,skf1(X0)),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f53,plain,
! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv1(V) )
| ssPv1(U)
| ssPv2(U)
| ssPv3(U) ),
inference(miniscoping,[status(esa)],[f2]) ).
fof(f54,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0) ),
inference(cnf_transformation,[status(esa)],[f53]) ).
fof(f55,plain,
! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv3(V) )
| ~ ssPv2(U)
| ssPv3(U)
| ssPv4(U) ),
inference(miniscoping,[status(esa)],[f3]) ).
fof(f56,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssPv2(X0)
| ssPv3(X0)
| ssPv4(X0) ),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f57,plain,
! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv1(V) )
| ~ ssPv2(U)
| ssPv3(U)
| ssPv4(U) ),
inference(miniscoping,[status(esa)],[f4]) ).
fof(f58,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssPv2(X0)
| ssPv3(X0)
| ssPv4(X0) ),
inference(cnf_transformation,[status(esa)],[f57]) ).
fof(f59,plain,
! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv4(V) )
| ~ ssPv2(U)
| ssPv1(U)
| ssPv3(U) ),
inference(miniscoping,[status(esa)],[f5]) ).
fof(f60,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssPv2(X0)
| ssPv1(X0)
| ssPv3(X0) ),
inference(cnf_transformation,[status(esa)],[f59]) ).
fof(f63,plain,
! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv1(V) )
| ~ ssPv2(U)
| ~ ssPv3(U)
| ~ ssPv4(U) ),
inference(miniscoping,[status(esa)],[f7]) ).
fof(f64,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssPv2(X0)
| ~ ssPv3(X0)
| ~ ssPv4(X0) ),
inference(cnf_transformation,[status(esa)],[f63]) ).
fof(f65,plain,
! [U] :
( ! [W] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssRr(U,W)
| ssPv4(V) )
| ssPv1(W) )
| ssPv2(U)
| ssPv3(U) ),
inference(miniscoping,[status(esa)],[f8]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ssPv4(X1)
| ssPv1(X2)
| ssPv2(X0)
| ssPv3(X0) ),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f67,plain,
! [U] :
( ! [W] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssRr(U,W)
| ~ ssPv1(U)
| ssPv4(V) )
| ssPv1(W) )
| ssPv4(U) ),
inference(miniscoping,[status(esa)],[f9]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X0)
| ssPv4(X1)
| ssPv1(X2)
| ssPv4(X0) ),
inference(cnf_transformation,[status(esa)],[f67]) ).
fof(f69,plain,
! [U] :
( ! [W] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssRr(U,W)
| ~ ssPv2(U)
| ssPv3(V) )
| ssPv2(W) )
| ssPv3(U) ),
inference(miniscoping,[status(esa)],[f10]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(X0)
| ssPv3(X1)
| ssPv2(X2)
| ssPv3(X0) ),
inference(cnf_transformation,[status(esa)],[f69]) ).
fof(f71,plain,
! [U] :
( ! [W] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv1(V) )
| ~ ssRr(U,W)
| ssPv3(W) )
| ssPv3(U)
| ssPv4(U) ),
inference(miniscoping,[status(esa)],[f11]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X0,X2)
| ssPv3(X2)
| ssPv3(X0)
| ssPv4(X0) ),
inference(cnf_transformation,[status(esa)],[f71]) ).
fof(f73,plain,
! [U] :
( ! [W] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv3(V) )
| ~ ssRr(U,W)
| ssPv4(W) )
| ssPv2(U)
| ssPv4(U) ),
inference(miniscoping,[status(esa)],[f12]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X0,X2)
| ssPv4(X2)
| ssPv2(X0)
| ssPv4(X0) ),
inference(cnf_transformation,[status(esa)],[f73]) ).
fof(f77,plain,
! [U] :
( ! [W] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv3(V) )
| ~ ssRr(U,W)
| ssPv3(W) )
| ssPv2(U)
| ssPv3(U) ),
inference(miniscoping,[status(esa)],[f14]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X0,X2)
| ssPv3(X2)
| ssPv2(X0)
| ssPv3(X0) ),
inference(cnf_transformation,[status(esa)],[f77]) ).
fof(f79,plain,
! [U] :
( ! [W] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv2(V) )
| ~ ssRr(U,W)
| ssPv3(W) )
| ssPv1(U)
| ssPv2(U) ),
inference(miniscoping,[status(esa)],[f15]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X0,X2)
| ssPv3(X2)
| ssPv1(X0)
| ssPv2(X0) ),
inference(cnf_transformation,[status(esa)],[f79]) ).
fof(f81,plain,
! [U] :
( ! [W] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv1(V) )
| ~ ssRr(U,W)
| ssPv3(W) )
| ssPv1(U)
| ssPv2(U) ),
inference(miniscoping,[status(esa)],[f16]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X0,X2)
| ssPv3(X2)
| ssPv1(X0)
| ssPv2(X0) ),
inference(cnf_transformation,[status(esa)],[f81]) ).
fof(f83,plain,
! [U] :
( ! [W] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv4(V) )
| ~ ssRr(U,W)
| ~ ssPv2(U)
| ssPv2(W) )
| ssPv4(U) ),
inference(miniscoping,[status(esa)],[f17]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(X0)
| ssPv2(X2)
| ssPv4(X0) ),
inference(cnf_transformation,[status(esa)],[f83]) ).
fof(f87,plain,
! [U] :
( ! [W] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv1(V) )
| ~ ssRr(U,W)
| ~ ssPv2(U)
| ssPv2(W) )
| ssPv3(U) ),
inference(miniscoping,[status(esa)],[f19]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(X0)
| ssPv2(X2)
| ssPv3(X0) ),
inference(cnf_transformation,[status(esa)],[f87]) ).
fof(f89,plain,
! [U] :
( ! [W] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv3(V) )
| ~ ssRr(U,W)
| ~ ssPv3(U)
| ssPv3(W) )
| ssPv2(U) ),
inference(miniscoping,[status(esa)],[f20]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X0)
| ssPv3(X2)
| ssPv2(X0) ),
inference(cnf_transformation,[status(esa)],[f89]) ).
fof(f91,plain,
! [U] :
( ! [W] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv2(V) )
| ~ ssRr(U,W)
| ~ ssPv1(U)
| ssPv4(W) )
| ssPv2(U) ),
inference(miniscoping,[status(esa)],[f21]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X0)
| ssPv4(X2)
| ssPv2(X0) ),
inference(cnf_transformation,[status(esa)],[f91]) ).
fof(f93,plain,
! [U] :
( ! [W] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv3(V) )
| ~ ssRr(U,W)
| ~ ssPv1(U)
| ssPv2(W) )
| ssPv2(U) ),
inference(miniscoping,[status(esa)],[f22]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X0)
| ssPv2(X2)
| ssPv2(X0) ),
inference(cnf_transformation,[status(esa)],[f93]) ).
fof(f97,plain,
! [U] :
( ! [W] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv4(V) )
| ~ ssRr(U,W)
| ~ ssPv3(W) )
| ssPv2(U)
| ssPv4(U) ),
inference(miniscoping,[status(esa)],[f24]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X2)
| ssPv2(X0)
| ssPv4(X0) ),
inference(cnf_transformation,[status(esa)],[f97]) ).
fof(f103,plain,
! [U] :
( ! [W] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv3(V) )
| ~ ssRr(U,W)
| ~ ssPv3(U)
| ssPv4(W) )
| ssPv1(U) ),
inference(miniscoping,[status(esa)],[f27]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X0)
| ssPv4(X2)
| ssPv1(X0) ),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f105,plain,
! [U] :
( ! [W] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv3(V) )
| ~ ssRr(U,W)
| ~ ssPv2(U)
| ssPv4(W) )
| ssPv1(U) ),
inference(miniscoping,[status(esa)],[f28]) ).
fof(f106,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(X0)
| ssPv4(X2)
| ssPv1(X0) ),
inference(cnf_transformation,[status(esa)],[f105]) ).
fof(f107,plain,
! [U] :
( ! [W] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv4(V) )
| ~ ssRr(U,W)
| ~ ssPv2(W) )
| ssPv1(U)
| ssPv3(U) ),
inference(miniscoping,[status(esa)],[f29]) ).
fof(f108,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(X2)
| ssPv1(X0)
| ssPv3(X0) ),
inference(cnf_transformation,[status(esa)],[f107]) ).
fof(f109,plain,
! [W] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv3(V) )
| ~ ssRr(U,W)
| ~ ssPv2(U)
| ~ ssPv4(U) )
| ssPv3(W) ),
inference(miniscoping,[status(esa)],[f30]) ).
fof(f110,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(X0)
| ~ ssPv4(X0)
| ssPv3(X2) ),
inference(cnf_transformation,[status(esa)],[f109]) ).
fof(f111,plain,
! [W] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv2(V) )
| ~ ssRr(U,W)
| ~ ssPv2(U)
| ~ ssPv4(U) )
| ssPv1(W) ),
inference(miniscoping,[status(esa)],[f31]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(X0)
| ~ ssPv4(X0)
| ssPv1(X2) ),
inference(cnf_transformation,[status(esa)],[f111]) ).
fof(f115,plain,
! [U] :
( ! [W] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv4(V) )
| ~ ssRr(U,W)
| ~ ssPv3(W) )
| ~ ssPv4(U)
| ssPv3(U) ),
inference(miniscoping,[status(esa)],[f33]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X2)
| ~ ssPv4(X0)
| ssPv3(X0) ),
inference(cnf_transformation,[status(esa)],[f115]) ).
fof(f117,plain,
! [U] :
( ! [W] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv4(V) )
| ~ ssRr(U,W)
| ~ ssPv1(W) )
| ~ ssPv4(U)
| ssPv3(U) ),
inference(miniscoping,[status(esa)],[f34]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X2)
| ~ ssPv4(X0)
| ssPv3(X0) ),
inference(cnf_transformation,[status(esa)],[f117]) ).
fof(f121,plain,
! [U] :
( ! [W] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv4(V) )
| ~ ssRr(U,W)
| ~ ssPv3(W) )
| ~ ssPv3(U)
| ssPv1(U) ),
inference(miniscoping,[status(esa)],[f36]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X2)
| ~ ssPv3(X0)
| ssPv1(X0) ),
inference(cnf_transformation,[status(esa)],[f121]) ).
fof(f123,plain,
! [U] :
( ! [X] :
( ! [W] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv2(V) )
| ~ ssRr(U,W)
| ~ ssRr(U,X)
| ssPv3(W) )
| ssPv1(X) )
| ssPv4(U) ),
inference(miniscoping,[status(esa)],[f37]) ).
fof(f124,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X3)
| ssPv3(X2)
| ssPv1(X3)
| ssPv4(X0) ),
inference(cnf_transformation,[status(esa)],[f123]) ).
fof(f133,plain,
! [X] :
( ! [W] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv4(V) )
| ~ ssRr(U,W)
| ~ ssRr(U,X)
| ~ ssPv4(U) )
| ssPv3(W) )
| ssPv2(X) ),
inference(miniscoping,[status(esa)],[f42]) ).
fof(f134,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X3)
| ~ ssPv4(X0)
| ssPv3(X2)
| ssPv2(X3) ),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f137,plain,
! [X] :
( ! [W] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv2(V) )
| ~ ssRr(U,W)
| ~ ssRr(U,X)
| ~ ssPv3(U) )
| ssPv4(W) )
| ssPv3(X) ),
inference(miniscoping,[status(esa)],[f44]) ).
fof(f138,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X3)
| ~ ssPv3(X0)
| ssPv4(X2)
| ssPv3(X3) ),
inference(cnf_transformation,[status(esa)],[f137]) ).
fof(f143,plain,
! [X] :
( ! [U] :
( ! [W] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv3(V) )
| ~ ssRr(U,W)
| ~ ssPv2(W) )
| ~ ssRr(U,X)
| ~ ssPv1(U) )
| ssPv4(X) ),
inference(miniscoping,[status(esa)],[f47]) ).
fof(f144,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(X2)
| ~ ssRr(X0,X3)
| ~ ssPv1(X0)
| ssPv4(X3) ),
inference(cnf_transformation,[status(esa)],[f143]) ).
fof(f145,plain,
! [X] :
( ! [U] :
( ! [W] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv4(V) )
| ~ ssRr(U,W)
| ~ ssPv2(W) )
| ~ ssRr(U,X)
| ~ ssPv1(U) )
| ssPv3(X) ),
inference(miniscoping,[status(esa)],[f48]) ).
fof(f146,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(X2)
| ~ ssRr(X0,X3)
| ~ ssPv1(X0)
| ssPv3(X3) ),
inference(cnf_transformation,[status(esa)],[f145]) ).
fof(f149,plain,
! [X] :
( ! [U] :
( ! [W] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv3(V) )
| ~ ssRr(U,W)
| ~ ssPv1(W) )
| ~ ssRr(U,X)
| ~ ssPv3(U) )
| ssPv4(X) ),
inference(miniscoping,[status(esa)],[f50]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X2)
| ~ ssRr(X0,X3)
| ~ ssPv3(X0)
| ssPv4(X3) ),
inference(cnf_transformation,[status(esa)],[f149]) ).
fof(f151,plain,
! [U] :
( ! [X] :
( ! [W] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv4(V) )
| ~ ssRr(U,W)
| ~ ssPv2(W) )
| ~ ssRr(U,X)
| ~ ssPv1(X) )
| ~ ssPv3(U) ),
inference(miniscoping,[status(esa)],[f51]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(X2)
| ~ ssRr(X0,X3)
| ~ ssPv1(X3)
| ~ ssPv3(X0) ),
inference(cnf_transformation,[status(esa)],[f151]) ).
fof(f153,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X0,X2)
| ssPv3(X2)
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f90,f78]) ).
fof(f154,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X2)
| ssPv2(X0)
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f98,f74]) ).
fof(f155,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X0,X2)
| ~ ssPv4(X0)
| ssPv3(X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f110,f153]) ).
fof(f156,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X2)
| ~ ssPv3(X0)
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f122,f104]) ).
fof(f157,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f54,f52]) ).
fof(f158,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ~ ssPv2(X0)
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f56,f52]) ).
fof(f160,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ~ ssPv2(X0)
| ssPv1(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f60,f52]) ).
fof(f162,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ~ ssPv2(X0)
| ~ ssPv3(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[f64,f52]) ).
fof(f164,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f154,f52]) ).
fof(f165,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ssPv3(X0)
| ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f56,f164]) ).
fof(f166,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X0,X2)
| ssPv3(X0)
| ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f72,f165]) ).
fof(f167,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X2)
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f116,f165]) ).
fof(f168,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X2)
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f118,f166]) ).
fof(f169,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(X2)
| ~ ssRr(X0,X3)
| ~ ssPv1(X3) ),
inference(backward_subsumption_resolution,[status(thm)],[f152,f168]) ).
fof(f170,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ssPv4(skf1(X0))
| ssPv1(X1)
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f66,f52]) ).
fof(f171,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ssPv4(skf1(X0))
| ssPv1(X1)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f68,f52]) ).
fof(f172,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f164,f52]) ).
fof(f173,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f158,f172]) ).
fof(f175,plain,
! [X0,X1] :
( ~ ssPv3(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv4(X0)
| ssPv3(X1) ),
inference(resolution,[status(thm)],[f155,f52]) ).
fof(f176,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssPv3(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f156,f52]) ).
fof(f177,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ~ ssPv3(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f176,f52]) ).
fof(f178,plain,
! [X0,X1] :
( ~ ssPv1(skf1(X0))
| ~ ssRr(X0,X1)
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f166,f52]) ).
fof(f179,plain,
! [X0,X1] :
( ~ ssPv4(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f167,f52]) ).
fof(f180,plain,
! [X0,X1] :
( ~ ssPv4(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f168,f52]) ).
fof(f181,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ssPv3(skf1(X0))
| ssPv2(X1)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f70,f52]) ).
fof(f183,plain,
! [X0,X1] :
( ~ ssPv2(skf1(X0))
| ~ ssRr(X0,X1)
| ssPv3(X1)
| ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f80,f52]) ).
fof(f184,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f170,f52]) ).
fof(f187,plain,
! [X0,X1] :
( ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv3(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f184,f179]) ).
fof(f188,plain,
! [X0,X1] :
( ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv3(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(X1) ),
inference(duplicate_literals_removal,[status(esa)],[f187]) ).
fof(f189,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv4(skf1(X0))
| ssPv1(skf1(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f171,f52]) ).
fof(f190,plain,
! [X0] :
( ~ ssPv2(X0)
| ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f181,f52]) ).
fof(f191,plain,
! [X0,X1] :
( ~ ssPv1(skf1(X0))
| ~ ssRr(X0,X1)
| ssPv3(X1)
| ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f82,f52]) ).
fof(f192,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv3(X0)
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f188,f52]) ).
fof(f194,plain,
! [X0,X1] :
( ~ ssPv1(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ssPv2(X1)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f88,f52]) ).
fof(f195,plain,
! [X0,X1] :
( ~ ssPv2(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ssPv4(X1)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f92,f52]) ).
fof(f196,plain,
! [X0,X1] :
( ~ ssPv3(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ssPv2(X1)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f94,f52]) ).
fof(f200,plain,
! [X0,X1] :
( ~ ssPv3(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ssPv4(X1)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f106,f52]) ).
fof(f201,plain,
! [X0,X1] :
( ~ ssPv4(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ssPv1(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f108,f52]) ).
fof(f202,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ssPv1(X0)
| ssPv3(X0)
| ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f201,f184]) ).
fof(f203,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ssPv1(X0)
| ssPv3(X0)
| ssPv1(skf1(X0))
| ssPv2(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f202]) ).
fof(f204,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ssPv1(X0)
| ssPv3(X0)
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f203,f157]) ).
fof(f205,plain,
! [X0] :
( ~ ssPv2(skf1(X0))
| ssPv1(X0)
| ssPv3(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f204,f52]) ).
fof(f206,plain,
! [X0,X1] :
( ~ ssPv2(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ~ ssPv4(X0)
| ssPv1(X1) ),
inference(resolution,[status(thm)],[f112,f52]) ).
fof(f208,plain,
! [X0,X1,X2] :
( ~ ssPv2(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ssPv3(X1)
| ssPv1(X2)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f124,f52]) ).
fof(f216,plain,
! [X0,X1,X2] :
( ~ ssPv4(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv4(X0)
| ssPv3(X1)
| ssPv2(X2) ),
inference(resolution,[status(thm)],[f134,f52]) ).
fof(f217,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv4(X0)
| ssPv3(X1)
| ssPv2(X2)
| ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f216,f184]) ).
fof(f218,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv4(X0)
| ssPv2(X2)
| ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f217,f188]) ).
fof(f225,plain,
! [X0,X1,X2] :
( ~ ssPv3(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X0)
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f144,f52]) ).
fof(f226,plain,
! [X0,X1,X2] :
( ~ ssPv4(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X0)
| ssPv3(X2) ),
inference(resolution,[status(thm)],[f146,f52]) ).
fof(f227,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X0)
| ssPv3(X2)
| ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f226,f184]) ).
fof(f228,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X0,X2)
| ssPv3(X2)
| ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f227,f204]) ).
fof(f230,plain,
! [X0,X1,X2] :
( ~ ssPv3(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X0)
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f150,f52]) ).
fof(f231,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X0)
| ssPv2(X1)
| ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f218,f52]) ).
fof(f232,plain,
! [X0] :
( ~ ssPv4(X0)
| ssPv2(skf1(X0))
| ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f231,f52]) ).
fof(f233,plain,
! [X0] :
( ssPv2(skf1(skf1(X0)))
| ssPv1(skf1(skf1(X0)))
| ssPv2(skf1(X0))
| ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f232,f184]) ).
fof(f234,plain,
! [X0] :
( ssPv1(skf1(skf1(X0)))
| ssPv2(skf1(X0))
| ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f233,f205]) ).
fof(f235,plain,
! [X0,X1] :
( ~ ssPv2(skf1(X0))
| ~ ssRr(X0,X1)
| ssPv3(X1)
| ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f228,f52]) ).
fof(f236,plain,
! [X0,X1] :
( ~ ssPv2(skf1(X0))
| ~ ssRr(X0,X1)
| ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f235,f188]) ).
fof(f245,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv3(X0)
| ssPv1(skf1(X0))
| ssPv2(skf1(X0))
| ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f234,f157]) ).
fof(f246,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f245]) ).
fof(f247,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f246,f190]) ).
fof(f257,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv1(skf1(X0))
| ssPv3(X0)
| ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f247,f192]) ).
fof(f258,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv1(skf1(X0))
| ssPv3(X0)
| ssPv2(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f257]) ).
fof(f260,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv1(skf1(X0))
| ssPv3(X0)
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f247,f173]) ).
fof(f261,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv1(skf1(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f260]) ).
fof(f264,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f236,f258]) ).
fof(f269,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f264,f52]) ).
fof(f270,plain,
! [X0] :
( ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f157,f269]) ).
fof(f271,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ssPv1(X0)
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f160,f270]) ).
fof(f272,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ssPv1(X0)
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f60,f270]) ).
fof(f279,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv3(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f270,f177]) ).
fof(f294,plain,
! [X0,X1] :
( ssPv2(X0)
| ssPv3(X0)
| ~ ssRr(X0,X1)
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f269,f178]) ).
fof(f295,plain,
! [X0,X1] :
( ssPv2(X0)
| ssPv3(X0)
| ~ ssRr(X0,X1)
| ssPv4(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f294]) ).
fof(f297,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ssPv3(X0)
| ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f58,f295]) ).
fof(f299,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f297,f52]) ).
fof(f300,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f261,f299]) ).
fof(f320,plain,
! [X0,X1,X2] :
( ssPv3(X0)
| ssPv4(X0)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ssPv3(X1)
| ssPv1(X2)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f300,f208]) ).
fof(f321,plain,
! [X0,X1,X2] :
( ssPv3(X0)
| ssPv4(X0)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ssPv3(X1)
| ssPv1(X2) ),
inference(duplicate_literals_removal,[status(esa)],[f320]) ).
fof(f322,plain,
! [X0,X1,X2] :
( ssPv3(X0)
| ssPv4(X0)
| ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ssPv1(X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f321,f165]) ).
fof(f330,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv2(skf1(X0))
| ssPv1(X0)
| ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f279,f270]) ).
fof(f331,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv2(skf1(X0))
| ssPv1(X0)
| ssPv2(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f330]) ).
fof(f365,plain,
! [X0,X1] :
( ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv2(X0)
| ~ ssRr(X0,X1)
| ssPv3(X1)
| ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f331,f183]) ).
fof(f366,plain,
! [X0,X1] :
( ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv2(X0)
| ~ ssRr(X0,X1)
| ssPv3(X1) ),
inference(duplicate_literals_removal,[status(esa)],[f365]) ).
fof(f367,plain,
! [X0,X1] :
( ssPv1(X0)
| ssPv2(X0)
| ~ ssRr(X0,X1)
| ssPv3(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f366,f191]) ).
fof(f371,plain,
! [X0] :
( ssPv1(X0)
| ssPv2(X0)
| ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f367,f52]) ).
fof(f376,plain,
! [X0] :
( ssPv1(X0)
| ssPv2(X0)
| ~ ssPv3(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f371,f177]) ).
fof(f377,plain,
! [X0] :
( ssPv1(X0)
| ssPv2(X0)
| ~ ssPv3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f376]) ).
fof(f378,plain,
! [X0] :
( ssPv1(X0)
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f377,f270]) ).
fof(f388,plain,
! [X0,X1] :
( ~ ssPv3(skf1(X0))
| ~ ssRr(X0,X1)
| ssPv2(X1)
| ssPv2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f196,f378]) ).
fof(f389,plain,
! [X0,X1] :
( ~ ssPv2(skf1(X0))
| ~ ssRr(X0,X1)
| ssPv4(X1)
| ssPv2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f195,f378]) ).
fof(f393,plain,
! [X0,X1] :
( ~ ssPv3(skf1(X0))
| ~ ssRr(X0,X1)
| ssPv4(X1)
| ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f200,f378]) ).
fof(f394,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X0,X2)
| ssPv4(X2)
| ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f106,f378]) ).
fof(f397,plain,
! [X0,X1,X2] :
( ~ ssPv3(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X0,X2)
| ssPv4(X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f225,f393]) ).
fof(f398,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(X2)
| ~ ssRr(X0,X3)
| ssPv4(X3) ),
inference(backward_subsumption_resolution,[status(thm)],[f144,f394]) ).
fof(f399,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X3)
| ~ ssPv3(X0)
| ssPv4(X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f138,f398]) ).
fof(f406,plain,
! [X0,X1] :
( ssPv1(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ~ ssPv4(X0)
| ssPv1(X1) ),
inference(resolution,[status(thm)],[f378,f206]) ).
fof(f420,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ssPv4(X1)
| ssPv2(X0)
| ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f389,f378]) ).
fof(f423,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv2(X0)
| ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f420,f52]) ).
fof(f438,plain,
! [X0,X1] :
( ssPv3(X0)
| ssPv4(X0)
| ~ ssRr(X0,X1)
| ssPv1(X1) ),
inference(resolution,[status(thm)],[f322,f52]) ).
fof(f439,plain,
! [X0,X1] :
( ssPv3(X0)
| ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f438,f297]) ).
fof(f440,plain,
! [X0] :
( ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f439,f52]) ).
fof(f441,plain,
! [X0] :
( ssPv3(skf1(X0))
| ssPv1(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f440,f271]) ).
fof(f452,plain,
! [X0,X1] :
( ssPv3(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f440,f180]) ).
fof(f457,plain,
! [X0,X1] :
( ssPv1(X0)
| ssPv3(X0)
| ~ ssRr(X0,X1)
| ssPv4(X1)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f441,f393]) ).
fof(f458,plain,
! [X0,X1] :
( ssPv1(X0)
| ssPv3(X0)
| ~ ssRr(X0,X1)
| ssPv4(X1) ),
inference(duplicate_literals_removal,[status(esa)],[f457]) ).
fof(f459,plain,
! [X0,X1] :
( ssPv1(X0)
| ssPv3(X0)
| ~ ssRr(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f458,f272]) ).
fof(f469,plain,
! [X0,X1,X2] :
( ~ ssPv2(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X0)
| ssPv4(X1) ),
inference(resolution,[status(thm)],[f399,f52]) ).
fof(f470,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f459,f52]) ).
fof(f471,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f177,f470]) ).
fof(f481,plain,
! [X0] :
( ssPv1(X0)
| ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f471,f470]) ).
fof(f482,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv1(skf1(X0))
| ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f189,f481]) ).
fof(f486,plain,
! [X0] :
( ssPv1(X0)
| ~ ssPv2(X0)
| ~ ssPv3(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[f481,f162]) ).
fof(f487,plain,
! [X0] :
( ssPv1(X0)
| ~ ssPv3(X0)
| ~ ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f486,f378]) ).
fof(f488,plain,
! [X0] :
( ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0))
| ssPv2(X0)
| ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f487,f423]) ).
fof(f489,plain,
! [X0] :
( ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0))
| ssPv2(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f488]) ).
fof(f490,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f489,f470]) ).
fof(f492,plain,
! [X0,X1] :
( ssPv1(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv4(X0)
| ssPv1(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f406,f490]) ).
fof(f512,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f482,f487]) ).
fof(f513,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssPv3(skf1(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f512]) ).
fof(f514,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f513,f470]) ).
fof(f516,plain,
! [X0,X1] :
( ssPv1(skf1(X0))
| ~ ssRr(X0,X1)
| ssPv1(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f492,f514]) ).
fof(f520,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f516,f52]) ).
fof(f521,plain,
! [X0] : ssPv1(skf1(X0)),
inference(duplicate_literals_removal,[status(esa)],[f520]) ).
fof(f522,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ssPv2(X1)
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f194,f521]) ).
fof(f523,plain,
! [X0] :
( ~ ssPv2(X0)
| ~ ssPv3(X0)
| ~ ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f162,f521]) ).
fof(f529,plain,
! [X0] :
( ssPv3(skf1(X0))
| ~ ssPv1(skf1(X0))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f452,f52]) ).
fof(f530,plain,
! [X0] :
( ssPv3(skf1(X0))
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f529,f470]) ).
fof(f533,plain,
! [X0,X1] :
( ssPv3(X0)
| ~ ssRr(X0,X1)
| ssPv2(X1)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f530,f388]) ).
fof(f534,plain,
! [X0,X1] :
( ssPv3(X0)
| ~ ssRr(X0,X1)
| ssPv2(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f533,f522]) ).
fof(f536,plain,
! [X0,X1] :
( ssPv3(X0)
| ~ ssRr(X0,X1)
| ~ ssPv4(X0)
| ssPv3(X1) ),
inference(resolution,[status(thm)],[f530,f175]) ).
fof(f537,plain,
! [X0,X1] :
( ssPv3(X0)
| ~ ssRr(X0,X1)
| ssPv3(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f536,f440]) ).
fof(f542,plain,
! [X0,X1] :
( ~ ssPv4(skf1(X0))
| ~ ssRr(X0,X1)
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f179,f537]) ).
fof(f543,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X0,X2)
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f167,f537]) ).
fof(f544,plain,
! [X0] :
( ssPv3(X0)
| ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f534,f52]) ).
fof(f545,plain,
! [X0,X1] :
( ssPv3(X0)
| ~ ssRr(X0,X1)
| ssPv4(X1)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f544,f389]) ).
fof(f549,plain,
! [X0] :
( ssPv3(X0)
| ssPv4(skf1(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f545,f52]) ).
fof(f550,plain,
! [X0,X1] :
( ssPv3(X0)
| ssPv2(X0)
| ~ ssRr(X0,X1)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f549,f542]) ).
fof(f551,plain,
! [X0,X1] :
( ssPv3(X0)
| ssPv2(X0)
| ~ ssRr(X0,X1) ),
inference(duplicate_literals_removal,[status(esa)],[f550]) ).
fof(f559,plain,
! [X0] :
( ssPv3(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f551,f52]) ).
fof(f562,plain,
! [X0,X1,X2] :
( ssPv2(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X0)
| ssPv4(X2) ),
inference(resolution,[status(thm)],[f559,f230]) ).
fof(f563,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X0,X2)
| ~ ssPv3(X0)
| ssPv4(X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f562,f469]) ).
fof(f594,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X0,X2)
| ssPv4(X2)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f397,f530]) ).
fof(f595,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ssPv4(X2)
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f594,f534]) ).
fof(f598,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f543,f595]) ).
fof(f599,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X3)
| ssPv4(X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f399,f595]) ).
fof(f600,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X0,X2)
| ssPv4(X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f563,f595]) ).
fof(f602,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(X2)
| ~ ssRr(X0,X3)
| ~ ssPv1(X3) ),
inference(backward_subsumption_resolution,[status(thm)],[f169,f599]) ).
fof(f608,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f598,f52]) ).
fof(f609,plain,
! [X0] : ssPv3(X0),
inference(resolution,[status(thm)],[f608,f52]) ).
fof(f611,plain,
! [X0] :
( ~ ssPv2(X0)
| ~ ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f523,f609]) ).
fof(f618,plain,
! [X0] : ssPv1(X0),
inference(backward_subsumption_resolution,[status(thm)],[f471,f609]) ).
fof(f619,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ssPv2(X1)
| ssPv2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f388,f609]) ).
fof(f627,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(X0)
| ssPv2(X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f84,f611]) ).
fof(f628,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X0,X2)
| ssPv2(X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f627,f619]) ).
fof(f635,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(X2)
| ~ ssRr(X0,X3) ),
inference(backward_subsumption_resolution,[status(thm)],[f602,f618]) ).
fof(f636,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ssPv4(X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f600,f618]) ).
fof(f638,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ssPv2(X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f628,f636]) ).
fof(f639,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X3) ),
inference(backward_subsumption_resolution,[status(thm)],[f635,f638]) ).
fof(f645,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2) ),
inference(resolution,[status(thm)],[f639,f52]) ).
fof(f652,plain,
! [X0,X1] : ~ ssRr(X0,X1),
inference(resolution,[status(thm)],[f645,f52]) ).
fof(f653,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f52,f652]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN755-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 21:47:35 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 1.59/0.60 % Refutation found
% 1.59/0.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.59/0.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.59/0.61 % Elapsed time: 0.255801 seconds
% 1.59/0.61 % CPU time: 1.952881 seconds
% 1.59/0.61 % Total memory used: 16.724 MB
% 1.59/0.61 % Net memory used: 15.944 MB
%------------------------------------------------------------------------------