TSTP Solution File: SYN755-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% 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 : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:47:32 EDT 2023
% Result : Unsatisfiable 0.21s 0.49s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 27
% Syntax : Number of formulae : 208 ( 5 unt; 0 def)
% Number of atoms : 953 ( 0 equ)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 1262 ( 517 ~; 745 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 2 ( 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 : 399 (; 399 !; 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(f6,negated_conjecture,
! [U,V] :
( ~ ssRr(U,V)
| ~ ssPv1(U)
| ~ ssPv2(U)
| ~ ssPv4(U)
| ssPv3(V) ),
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(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(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(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(f35,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ~ ssRr(U,W)
| ~ ssPv1(W)
| ~ ssPv4(U)
| ssPv2(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(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(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(f61,plain,
! [V] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssPv1(U)
| ~ ssPv2(U)
| ~ ssPv4(U) )
| ssPv3(V) ),
inference(miniscoping,[status(esa)],[f6]) ).
fof(f62,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ~ ssPv2(X0)
| ~ ssPv4(X0)
| ssPv3(X1) ),
inference(cnf_transformation,[status(esa)],[f61]) ).
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(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(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(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(f119,plain,
! [U] :
( ! [W] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv2(V) )
| ~ ssRr(U,W)
| ~ ssPv1(W) )
| ~ ssPv4(U)
| ssPv2(U) ),
inference(miniscoping,[status(esa)],[f35]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X2)
| ~ ssPv4(X0)
| ssPv2(X0) ),
inference(cnf_transformation,[status(esa)],[f119]) ).
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(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(f153,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f54,f52]) ).
fof(f154,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ~ ssPv2(X0)
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f56,f52]) ).
fof(f155,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ~ ssPv2(X0)
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f58,f52]) ).
fof(f156,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ~ ssPv2(X0)
| ssPv1(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f60,f52]) ).
fof(f157,plain,
! [X0] :
( ~ ssPv1(X0)
| ~ ssPv2(X0)
| ~ ssPv4(X0)
| ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f62,f52]) ).
fof(f158,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ~ ssPv2(X0)
| ~ ssPv3(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[f64,f52]) ).
fof(f159,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ssPv4(X1)
| ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f66,f52]) ).
fof(f160,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f159,f52]) ).
fof(f161,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ssPv4(X1)
| ssPv1(skf1(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f68,f52]) ).
fof(f162,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ssPv3(X1)
| ssPv2(skf1(X0))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f70,f52]) ).
fof(f163,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv4(skf1(X0))
| ssPv1(skf1(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f161,f52]) ).
fof(f164,plain,
! [X0] :
( ~ ssPv2(X0)
| ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f162,f52]) ).
fof(f165,plain,
! [X0] :
( ~ ssPv2(X0)
| ssPv2(skf1(X0))
| ssPv3(X0)
| ~ ssPv2(X0)
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f164,f154]) ).
fof(f166,plain,
! [X0] :
( ~ ssPv2(X0)
| ssPv2(skf1(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f165]) ).
fof(f167,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ssPv3(skf1(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f72,f52]) ).
fof(f168,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ssPv3(skf1(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f167,f52]) ).
fof(f175,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ssPv3(skf1(X0))
| ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f82,f52]) ).
fof(f178,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ssPv3(skf1(X0))
| ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f175,f52]) ).
fof(f187,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssPv1(X0)
| ssPv4(skf1(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f92,f52]) ).
fof(f188,plain,
! [X0] :
( ~ ssPv2(skf1(X0))
| ~ ssPv1(X0)
| ssPv4(skf1(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f187,f52]) ).
fof(f189,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssPv1(X0)
| ssPv2(skf1(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f94,f52]) ).
fof(f190,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ~ ssPv1(X0)
| ssPv2(skf1(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f189,f52]) ).
fof(f192,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(f193,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv3(skf1(X0))
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f192,f52]) ).
fof(f198,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssPv2(X0)
| ssPv4(skf1(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f106,f52]) ).
fof(f199,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ~ ssPv2(X0)
| ssPv4(skf1(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f198,f52]) ).
fof(f200,plain,
! [X0] :
( ~ ssPv2(X0)
| ssPv4(skf1(X0))
| ssPv1(X0)
| ~ ssPv2(X0)
| ssPv2(skf1(X0))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f199,f164]) ).
fof(f201,plain,
! [X0] :
( ~ ssPv2(X0)
| ssPv4(skf1(X0))
| ssPv1(X0)
| ssPv2(skf1(X0))
| ssPv3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f200]) ).
fof(f202,plain,
! [X0] :
( ~ ssPv2(X0)
| ssPv1(X0)
| ssPv2(skf1(X0))
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f201,f156]) ).
fof(f210,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssPv2(X0)
| ~ ssPv4(X0)
| ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f112,f52]) ).
fof(f211,plain,
! [X0] :
( ~ ssPv2(skf1(X0))
| ~ ssPv2(X0)
| ~ ssPv4(X0)
| ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f210,f52]) ).
fof(f212,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssPv3(skf1(X0))
| ~ ssPv4(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f116,f52]) ).
fof(f216,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssPv4(X0)
| ssPv3(X0)
| ~ ssPv1(X0)
| ~ ssPv2(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[f212,f157]) ).
fof(f217,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssPv4(X0)
| ssPv3(X0)
| ~ ssPv1(X0)
| ~ ssPv2(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f216]) ).
fof(f218,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssPv4(X0)
| ssPv3(X0)
| ~ ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f217,f60]) ).
fof(f219,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ~ ssPv4(X0)
| ssPv3(X0)
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[f218,f52]) ).
fof(f222,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssPv1(skf1(X0))
| ~ ssPv4(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f118,f52]) ).
fof(f223,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssPv1(skf1(X0))
| ~ ssPv4(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f120,f52]) ).
fof(f224,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(f225,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv3(skf1(X0))
| ~ ssPv3(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f224,f52]) ).
fof(f226,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f124,f52]) ).
fof(f229,plain,
! [X0] :
( ~ ssPv2(skf1(X0))
| ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f226,f52]) ).
fof(f235,plain,
! [X0] :
( ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssPv2(X0)
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f229,f166]) ).
fof(f236,plain,
! [X0] :
( ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssPv2(X0)
| ssPv3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f235]) ).
fof(f237,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ~ ssPv2(X0)
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f236,f154]) ).
fof(f238,plain,
! [X0] :
( ssPv4(X0)
| ~ ssPv2(X0)
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f237,f155]) ).
fof(f239,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ssPv3(X0)
| ~ ssPv2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f219,f238]) ).
fof(f241,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv3(skf1(X0))
| ~ ssPv2(X0)
| ssPv1(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f238,f202]) ).
fof(f242,plain,
! [X0] :
( ssPv3(skf1(X0))
| ~ ssPv2(X0)
| ssPv1(X0)
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f241,f156]) ).
fof(f248,plain,
! [X0] :
( ~ ssPv2(X0)
| ssPv1(X0)
| ssPv3(X0)
| ~ ssPv2(X0)
| ssPv4(skf1(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f242,f199]) ).
fof(f249,plain,
! [X0] :
( ~ ssPv2(X0)
| ssPv1(X0)
| ssPv3(X0)
| ssPv4(skf1(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f248]) ).
fof(f250,plain,
! [X0] :
( ~ ssPv2(X0)
| ssPv1(X0)
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f249,f239]) ).
fof(f251,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ssPv1(X0)
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f153,f250]) ).
fof(f264,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssPv4(X0)
| ssPv3(skf1(X0))
| ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f134,f52]) ).
fof(f278,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ~ ssPv4(X0)
| ssPv3(skf1(X0))
| ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f264,f52]) ).
fof(f316,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssPv2(skf1(X0))
| ~ ssPv1(X0)
| ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f146,f52]) ).
fof(f326,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssPv1(skf1(X0))
| ~ ssPv3(X0)
| ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f150,f52]) ).
fof(f342,plain,
! [X0] :
( ~ ssPv4(X0)
| ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f278,f160]) ).
fof(f343,plain,
! [X0] :
( ~ ssPv4(X0)
| ssPv3(skf1(X0))
| ssPv2(skf1(X0))
| ssPv1(skf1(X0))
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f342,f164]) ).
fof(f344,plain,
! [X0] :
( ~ ssPv4(X0)
| ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f343,f250]) ).
fof(f345,plain,
! [X0,X1] :
( ~ ssPv4(X0)
| ssPv1(skf1(X0))
| ssPv3(X0)
| ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssPv4(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f344,f212]) ).
fof(f346,plain,
! [X0,X1] :
( ~ ssPv4(X0)
| ssPv1(skf1(X0))
| ssPv3(X0)
| ~ ssRr(X0,X1)
| ~ ssPv4(X1) ),
inference(duplicate_literals_removal,[status(esa)],[f345]) ).
fof(f347,plain,
! [X0,X1] :
( ~ ssPv4(X0)
| ssPv3(X0)
| ~ ssRr(X0,X1)
| ~ ssPv4(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f346,f222]) ).
fof(f350,plain,
! [X0] :
( ~ ssPv4(X0)
| ssPv3(X0)
| ~ ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f347,f52]) ).
fof(f351,plain,
! [X0] :
( ~ ssPv4(X0)
| ssPv3(X0)
| ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f350,f160]) ).
fof(f352,plain,
! [X0] :
( ~ ssPv4(X0)
| ssPv3(X0)
| ssPv1(skf1(X0))
| ssPv2(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f351]) ).
fof(f355,plain,
! [X0] :
( ~ ssPv4(X0)
| ssPv3(X0)
| ssPv2(X0)
| ssPv1(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f352,f251]) ).
fof(f356,plain,
! [X0] :
( ~ ssPv4(X0)
| ssPv3(X0)
| ssPv2(X0)
| ssPv1(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f355]) ).
fof(f357,plain,
! [X0] :
( ~ ssPv4(X0)
| ssPv3(X0)
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f356,f250]) ).
fof(f358,plain,
! [X0,X1] :
( ~ ssPv4(X0)
| ssPv3(X0)
| ssPv2(X0)
| ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssPv4(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f352,f223]) ).
fof(f359,plain,
! [X0,X1] :
( ~ ssPv4(X0)
| ssPv3(X0)
| ssPv2(X0)
| ~ ssRr(X0,X1)
| ~ ssPv2(X1) ),
inference(duplicate_literals_removal,[status(esa)],[f358]) ).
fof(f365,plain,
! [X0] :
( ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f357,f160]) ).
fof(f366,plain,
! [X0] :
( ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f365]) ).
fof(f367,plain,
! [X0] :
( ~ ssPv4(X0)
| ssPv3(X0)
| ssPv2(X0)
| ~ ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f359,f52]) ).
fof(f388,plain,
! [X0,X1] :
( ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv3(X0)
| ~ ssRr(X0,X1)
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f366,f193]) ).
fof(f389,plain,
! [X0,X1] :
( ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv3(X0)
| ~ ssRr(X0,X1)
| ssPv4(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f388]) ).
fof(f390,plain,
! [X0,X1] :
( ssPv1(skf1(X0))
| ssPv3(X0)
| ~ ssRr(X0,X1)
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f389,f238]) ).
fof(f393,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f390,f52]) ).
fof(f394,plain,
! [X0] :
( ssPv3(skf1(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f168,f393]) ).
fof(f398,plain,
! [X0] :
( ssPv3(X0)
| ssPv4(X0)
| ssPv1(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f393,f251]) ).
fof(f399,plain,
! [X0] :
( ssPv3(X0)
| ssPv4(X0)
| ssPv1(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f398]) ).
fof(f400,plain,
! [X0] :
( ssPv3(X0)
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f399,f357]) ).
fof(f415,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv3(skf1(X0))
| ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f225,f400]) ).
fof(f419,plain,
! [X0] :
( ssPv3(skf1(X0))
| ssPv1(X0)
| ssPv2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f178,f400]) ).
fof(f435,plain,
! [X0,X1] :
( ssPv3(X0)
| ssPv4(X0)
| ~ ssRr(X0,X1)
| ssPv2(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f394,f193]) ).
fof(f436,plain,
! [X0,X1] :
( ssPv3(X0)
| ssPv4(X0)
| ~ ssRr(X0,X1)
| ssPv2(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f435]) ).
fof(f437,plain,
! [X0,X1] :
( ssPv3(X0)
| ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f436,f238]) ).
fof(f443,plain,
! [X0] :
( ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f437,f52]) ).
fof(f444,plain,
! [X0] :
( ~ ssPv2(X0)
| ssPv4(skf1(X0))
| ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f199,f443]) ).
fof(f446,plain,
! [X0] :
( ssPv3(X0)
| ssPv2(X0)
| ~ ssPv2(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f367,f443]) ).
fof(f447,plain,
! [X0] :
( ssPv3(X0)
| ~ ssPv4(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f350,f443]) ).
fof(f453,plain,
! [X0] :
( ssPv3(X0)
| ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f447,f443]) ).
fof(f469,plain,
! [X0] :
( ssPv3(X0)
| ~ ssPv1(X0)
| ssPv2(skf1(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f453,f190]) ).
fof(f470,plain,
! [X0] :
( ssPv3(X0)
| ssPv2(skf1(X0))
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f469,f400]) ).
fof(f498,plain,
! [X0] :
( ssPv3(X0)
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f470,f446]) ).
fof(f500,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv2(skf1(X0))
| ssPv2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f190,f498]) ).
fof(f506,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssPv1(X0)
| ssPv3(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f316,f498]) ).
fof(f509,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv4(skf1(X0))
| ssPv2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f188,f500]) ).
fof(f523,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ssPv1(X0)
| ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f415,f419]) ).
fof(f524,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ssPv1(X0)
| ssPv2(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f523]) ).
fof(f529,plain,
! [X0] :
( ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f524,f52]) ).
fof(f530,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f509,f529]) ).
fof(f531,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f500,f529]) ).
fof(f532,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f444,f529]) ).
fof(f533,plain,
! [X0] :
( ~ ssPv2(X0)
| ~ ssPv4(X0)
| ssPv1(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f211,f529]) ).
fof(f553,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv1(skf1(X0))
| ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f163,f532]) ).
fof(f555,plain,
! [X0] :
( ~ ssPv2(X0)
| ~ ssPv3(X0)
| ~ ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f158,f533]) ).
fof(f561,plain,
! [X0] :
( ~ ssPv2(X0)
| ~ ssPv4(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f555,f400]) ).
fof(f562,plain,
! [X0] :
( ~ ssPv4(X0)
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f561,f529]) ).
fof(f569,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f562,f530]) ).
fof(f580,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssPv4(X0)
| ssPv2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f223,f569]) ).
fof(f581,plain,
! [X0] :
( ~ ssPv4(X0)
| ssPv1(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f533,f569]) ).
fof(f607,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv1(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f553,f581]) ).
fof(f608,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssPv3(X0)
| ssPv4(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f326,f607]) ).
fof(f611,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f607,f562]) ).
fof(f612,plain,
! [X0] : ssPv1(skf1(X0)),
inference(duplicate_literals_removal,[status(esa)],[f611]) ).
fof(f631,plain,
! [X0] :
( ~ ssPv2(skf1(X0))
| ~ ssPv4(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f580,f52]) ).
fof(f632,plain,
! [X0] :
( ~ ssPv4(X0)
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f631,f531]) ).
fof(f635,plain,
! [X0] :
( ~ ssPv3(X0)
| ~ ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f555,f632]) ).
fof(f647,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ~ ssPv1(X0)
| ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f506,f52]) ).
fof(f648,plain,
! [X0] :
( ~ ssPv1(X0)
| ssPv3(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f647,f443]) ).
fof(f659,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ~ ssPv3(X0)
| ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f608,f52]) ).
fof(f660,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv4(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f659,f443]) ).
fof(f661,plain,
! [X0] :
( ~ ssPv3(X0)
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f660,f635]) ).
fof(f663,plain,
! [X0] :
( ~ ssPv3(X0)
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[f661,f648]) ).
fof(f666,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[f663,f648]) ).
fof(f667,plain,
! [X0] : ~ ssPv1(X0),
inference(forward_subsumption_resolution,[status(thm)],[f666,f612]) ).
fof(f672,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f612,f667]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SYN755-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue May 30 10:35:25 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 0.21/0.49 % Refutation found
% 0.21/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.51 % Elapsed time: 0.146949 seconds
% 0.21/0.51 % CPU time: 1.061021 seconds
% 0.21/0.51 % Memory used: 10.647 MB
%------------------------------------------------------------------------------