TSTP Solution File: SYN796-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN796-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:53:19 EDT 2024
% Result : Unsatisfiable 5.39s 1.07s
% Output : CNFRefutation 5.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 62
% Number of leaves : 27
% Syntax : Number of formulae : 215 ( 10 unt; 0 def)
% Number of atoms : 992 ( 0 equ)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 1283 ( 506 ~; 777 |; 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 : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 445 ( 445 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [U] : ssRr(skf3(U),U),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [U] : ssRr(U,skf2(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [U,V] :
( ~ ssRr(U,V)
| ssPv3(V)
| ssPv1(U)
| ssPv3(U)
| ssPv4(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [U,V] :
( ~ ssRr(U,V)
| ~ ssPv4(U)
| ssPv1(V)
| ssPv2(U)
| ssPv3(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [U,V] :
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ssPv2(U)
| ssPv1(V)
| ssPv4(V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [U,V] :
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ssPv2(U)
| ssPv1(V)
| ssPv3(V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [U,V] :
( ~ ssRr(U,V)
| ~ ssPv1(U)
| ~ ssPv1(V)
| ~ ssPv4(V)
| ssPv2(V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssRr(V,W)
| ssPv4(U)
| ssPv2(W)
| ssPv1(V)
| ssPv2(V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv4(U)
| ~ ssRr(W,V)
| ssPv3(W)
| ssPv3(V)
| ssPv4(V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv1(V)
| ~ ssRr(U,W)
| ssPv2(W)
| ssPv3(U)
| ssPv4(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv2(U)
| ~ ssRr(V,W)
| ssPv2(W)
| ssPv2(V)
| ssPv3(V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssRr(V,W)
| ~ ssPv2(V)
| ssPv1(U)
| ssPv4(W)
| ssPv1(V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv3(U)
| ~ ssRr(W,V)
| ssPv4(W)
| ssPv1(V)
| ssPv4(V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv2(U)
| ~ ssRr(V,W)
| ssPv2(W)
| ssPv1(V)
| ssPv3(V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssRr(W,V)
| ~ ssPv1(V)
| ~ ssPv2(V)
| ssPv3(U)
| ssPv2(W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv3(U)
| ~ ssRr(V,W)
| ~ ssPv4(V)
| ssPv2(W)
| ssPv3(V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv3(V)
| ~ ssRr(U,W)
| ~ ssPv1(U)
| ssPv1(W)
| ssPv3(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssRr(V,W)
| ~ ssPv1(W)
| ~ ssPv4(V)
| ssPv2(U)
| ssPv2(V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ~ ssRr(U,W)
| ~ ssPv1(W)
| ssPv2(U)
| ssPv3(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssRr(V,W)
| ~ ssPv4(W)
| ~ ssPv2(V)
| ssPv1(U)
| ssPv1(V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
! [U,V,W] :
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ~ ssRr(U,W)
| ~ ssPv1(W)
| ~ ssPv1(U)
| ~ ssPv4(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssPv3(U)
| ~ ssRr(W,V)
| ~ ssRr(V,X)
| ~ ssPv2(X)
| ssPv4(W)
| ssPv3(V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssPv2(U)
| ~ ssRr(W,V)
| ~ ssRr(V,X)
| ~ ssPv1(X)
| ~ ssPv2(V)
| ssPv3(W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssPv2(U)
| ~ ssRr(V,W)
| ~ ssPv3(W)
| ~ ssRr(V,X)
| ~ ssPv2(V)
| ssPv1(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssPv4(U)
| ~ ssRr(W,V)
| ~ ssPv2(W)
| ~ ssRr(V,X)
| ~ ssPv4(V)
| ssPv3(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssPv4(U)
| ~ ssRr(W,V)
| ~ ssPv3(W)
| ~ ssRr(V,X)
| ~ ssPv3(X)
| ssPv1(V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
! [U,V,W,X] :
( ~ ssRr(U,V)
| ~ ssRr(V,W)
| ~ ssPv3(W)
| ~ ssRr(V,X)
| ~ ssPv1(X)
| ~ ssPv3(V)
| ssPv4(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,plain,
! [X0] : ssRr(skf3(X0),X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f54,plain,
! [X0] : ssRr(X0,skf2(X0)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f55,plain,
! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ssPv3(V) )
| ssPv1(U)
| ssPv3(U)
| ssPv4(U) ),
inference(miniscoping,[status(esa)],[f3]) ).
fof(f56,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ssPv3(X1)
| ssPv1(X0)
| ssPv3(X0)
| ssPv4(X0) ),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f57,plain,
! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv4(U)
| ssPv1(V) )
| ssPv2(U)
| ssPv3(U) ),
inference(miniscoping,[status(esa)],[f4]) ).
fof(f58,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X0)
| ssPv1(X1)
| ssPv2(X0)
| ssPv3(X0) ),
inference(cnf_transformation,[status(esa)],[f57]) ).
fof(f59,plain,
! [V] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssPv2(V)
| ssPv2(U) )
| ssPv1(V)
| ssPv4(V) ),
inference(miniscoping,[status(esa)],[f5]) ).
fof(f60,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ssPv2(X0)
| ssPv1(X1)
| ssPv4(X1) ),
inference(cnf_transformation,[status(esa)],[f59]) ).
fof(f61,plain,
! [V] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssPv4(V)
| ssPv2(U) )
| ssPv1(V)
| ssPv3(V) ),
inference(miniscoping,[status(esa)],[f6]) ).
fof(f62,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ssPv2(X0)
| ssPv1(X1)
| ssPv3(X1) ),
inference(cnf_transformation,[status(esa)],[f61]) ).
fof(f63,plain,
! [V] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssPv1(U) )
| ~ ssPv1(V)
| ~ ssPv4(V)
| ssPv2(V) ),
inference(miniscoping,[status(esa)],[f7]) ).
fof(f64,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ~ ssPv1(X1)
| ~ ssPv4(X1)
| ssPv2(X1) ),
inference(cnf_transformation,[status(esa)],[f63]) ).
fof(f65,plain,
! [V] :
( ! [W] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssRr(V,W)
| ssPv4(U) )
| ssPv2(W) )
| ssPv1(V)
| ssPv2(V) ),
inference(miniscoping,[status(esa)],[f8]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ssPv4(X0)
| ssPv2(X2)
| ssPv1(X1)
| ssPv2(X1) ),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f69,plain,
! [V] :
( ! [W] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssPv4(U) )
| ~ ssRr(W,V)
| ssPv3(W) )
| ssPv3(V)
| ssPv4(V) ),
inference(miniscoping,[status(esa)],[f10]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X0)
| ~ ssRr(X2,X1)
| ssPv3(X2)
| ssPv3(X1)
| ssPv4(X1) ),
inference(cnf_transformation,[status(esa)],[f69]) ).
fof(f71,plain,
! [U] :
( ! [W] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv1(V) )
| ~ ssRr(U,W)
| ssPv2(W) )
| ssPv3(U)
| ssPv4(U) ),
inference(miniscoping,[status(esa)],[f11]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X0,X2)
| ssPv2(X2)
| ssPv3(X0)
| ssPv4(X0) ),
inference(cnf_transformation,[status(esa)],[f71]) ).
fof(f73,plain,
! [V] :
( ! [W] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssPv2(U) )
| ~ ssRr(V,W)
| ssPv2(W) )
| ssPv2(V)
| ssPv3(V) ),
inference(miniscoping,[status(esa)],[f12]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ~ ssRr(X1,X2)
| ssPv2(X2)
| ssPv2(X1)
| ssPv3(X1) ),
inference(cnf_transformation,[status(esa)],[f73]) ).
fof(f77,plain,
! [V] :
( ! [W] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssRr(V,W)
| ~ ssPv2(V)
| ssPv1(U) )
| ssPv4(W) )
| ssPv1(V) ),
inference(miniscoping,[status(esa)],[f14]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv2(X1)
| ssPv1(X0)
| ssPv4(X2)
| ssPv1(X1) ),
inference(cnf_transformation,[status(esa)],[f77]) ).
fof(f79,plain,
! [V] :
( ! [W] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssPv3(U) )
| ~ ssRr(W,V)
| ssPv4(W) )
| ssPv1(V)
| ssPv4(V) ),
inference(miniscoping,[status(esa)],[f15]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X0)
| ~ ssRr(X2,X1)
| ssPv4(X2)
| ssPv1(X1)
| ssPv4(X1) ),
inference(cnf_transformation,[status(esa)],[f79]) ).
fof(f83,plain,
! [V] :
( ! [W] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssPv2(U) )
| ~ ssRr(V,W)
| ssPv2(W) )
| ssPv1(V)
| ssPv3(V) ),
inference(miniscoping,[status(esa)],[f17]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ~ ssRr(X1,X2)
| ssPv2(X2)
| ssPv1(X1)
| ssPv3(X1) ),
inference(cnf_transformation,[status(esa)],[f83]) ).
fof(f89,plain,
! [W] :
( ! [U] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssRr(W,V)
| ~ ssPv1(V)
| ~ ssPv2(V) )
| ssPv3(U) )
| ssPv2(W) ),
inference(miniscoping,[status(esa)],[f20]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X1)
| ~ ssPv1(X1)
| ~ ssPv2(X1)
| ssPv3(X0)
| ssPv2(X2) ),
inference(cnf_transformation,[status(esa)],[f89]) ).
fof(f91,plain,
! [V] :
( ! [W] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssPv3(U) )
| ~ ssRr(V,W)
| ~ ssPv4(V)
| ssPv2(W) )
| ssPv3(V) ),
inference(miniscoping,[status(esa)],[f21]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X0)
| ~ ssRr(X1,X2)
| ~ ssPv4(X1)
| ssPv2(X2)
| ssPv3(X1) ),
inference(cnf_transformation,[status(esa)],[f91]) ).
fof(f93,plain,
! [U] :
( ! [W] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv3(V) )
| ~ ssRr(U,W)
| ~ ssPv1(U)
| ssPv1(W) )
| ssPv3(U) ),
inference(miniscoping,[status(esa)],[f22]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X0)
| ssPv1(X2)
| ssPv3(X0) ),
inference(cnf_transformation,[status(esa)],[f93]) ).
fof(f95,plain,
! [V] :
( ! [U] :
( ! [W] :
( ~ ssRr(U,V)
| ~ ssRr(V,W)
| ~ ssPv1(W) )
| ~ ssPv4(V)
| ssPv2(U) )
| ssPv2(V) ),
inference(miniscoping,[status(esa)],[f23]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv1(X2)
| ~ ssPv4(X1)
| ssPv2(X0)
| ssPv2(X1) ),
inference(cnf_transformation,[status(esa)],[f95]) ).
fof(f101,plain,
! [U] :
( ! [W] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv2(V) )
| ~ ssRr(U,W)
| ~ ssPv1(W) )
| ssPv2(U)
| ssPv3(U) ),
inference(miniscoping,[status(esa)],[f26]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X2)
| ssPv2(X0)
| ssPv3(X0) ),
inference(cnf_transformation,[status(esa)],[f101]) ).
fof(f103,plain,
! [V] :
( ! [U] :
( ! [W] :
( ~ ssRr(U,V)
| ~ ssRr(V,W)
| ~ ssPv4(W) )
| ~ ssPv2(V)
| ssPv1(U) )
| ssPv1(V) ),
inference(miniscoping,[status(esa)],[f27]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv4(X2)
| ~ ssPv2(X1)
| ssPv1(X0)
| ssPv1(X1) ),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f117,plain,
! [U] :
( ! [W] :
( ! [V] :
( ~ ssRr(U,V)
| ~ ssPv2(V) )
| ~ ssRr(U,W)
| ~ ssPv1(W) )
| ~ ssPv1(U)
| ~ ssPv4(U) ),
inference(miniscoping,[status(esa)],[f34]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X2)
| ~ ssPv1(X0)
| ~ ssPv4(X0) ),
inference(cnf_transformation,[status(esa)],[f117]) ).
fof(f129,plain,
! [V] :
( ! [W] :
( ! [X] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssPv3(U) )
| ~ ssRr(W,V)
| ~ ssRr(V,X)
| ~ ssPv2(X) )
| ssPv4(W) )
| ssPv3(V) ),
inference(miniscoping,[status(esa)],[f40]) ).
fof(f130,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X0)
| ~ ssRr(X2,X1)
| ~ ssRr(X1,X3)
| ~ ssPv2(X3)
| ssPv4(X2)
| ssPv3(X1) ),
inference(cnf_transformation,[status(esa)],[f129]) ).
fof(f137,plain,
! [W] :
( ! [V] :
( ! [X] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssPv2(U) )
| ~ ssRr(W,V)
| ~ ssRr(V,X)
| ~ ssPv1(X) )
| ~ ssPv2(V) )
| ssPv3(W) ),
inference(miniscoping,[status(esa)],[f44]) ).
fof(f138,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ~ ssRr(X2,X1)
| ~ ssRr(X1,X3)
| ~ ssPv1(X3)
| ~ ssPv2(X1)
| ssPv3(X2) ),
inference(cnf_transformation,[status(esa)],[f137]) ).
fof(f139,plain,
! [X] :
( ! [V] :
( ! [W] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssPv2(U) )
| ~ ssRr(V,W)
| ~ ssPv3(W) )
| ~ ssRr(V,X)
| ~ ssPv2(V) )
| ssPv1(X) ),
inference(miniscoping,[status(esa)],[f45]) ).
fof(f140,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ~ ssRr(X1,X2)
| ~ ssPv3(X2)
| ~ ssRr(X1,X3)
| ~ ssPv2(X1)
| ssPv1(X3) ),
inference(cnf_transformation,[status(esa)],[f139]) ).
fof(f145,plain,
! [X] :
( ! [V] :
( ! [W] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssPv4(U) )
| ~ ssRr(W,V)
| ~ ssPv2(W) )
| ~ ssRr(V,X)
| ~ ssPv4(V) )
| ssPv3(X) ),
inference(miniscoping,[status(esa)],[f48]) ).
fof(f146,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X0)
| ~ ssRr(X2,X1)
| ~ ssPv2(X2)
| ~ ssRr(X1,X3)
| ~ ssPv4(X1)
| ssPv3(X3) ),
inference(cnf_transformation,[status(esa)],[f145]) ).
fof(f149,plain,
! [V] :
( ! [X] :
( ! [W] :
( ! [U] :
( ~ ssRr(U,V)
| ~ ssPv4(U) )
| ~ ssRr(W,V)
| ~ ssPv3(W) )
| ~ ssRr(V,X)
| ~ ssPv3(X) )
| ssPv1(V) ),
inference(miniscoping,[status(esa)],[f50]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X0)
| ~ ssRr(X2,X1)
| ~ ssPv3(X2)
| ~ ssRr(X1,X3)
| ~ ssPv3(X3)
| ssPv1(X1) ),
inference(cnf_transformation,[status(esa)],[f149]) ).
fof(f151,plain,
! [U] :
( ! [V] :
( ! [X] :
( ! [W] :
( ~ ssRr(U,V)
| ~ ssRr(V,W)
| ~ ssPv3(W) )
| ~ ssRr(V,X)
| ~ ssPv1(X) )
| ~ ssPv3(V) )
| ssPv4(U) ),
inference(miniscoping,[status(esa)],[f51]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv3(X2)
| ~ ssRr(X1,X3)
| ~ ssPv1(X3)
| ~ ssPv3(X1)
| ssPv4(X0) ),
inference(cnf_transformation,[status(esa)],[f151]) ).
fof(f156,plain,
! [X0] :
( ssPv3(skf2(X0))
| ssPv1(X0)
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f56,f54]) ).
fof(f158,plain,
! [X0] :
( ~ ssPv4(X0)
| ssPv1(skf2(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f58,f54]) ).
fof(f159,plain,
! [X0] :
( ~ ssPv2(X0)
| ssPv2(skf3(X0))
| ssPv1(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f60,f53]) ).
fof(f161,plain,
! [X0] :
( ~ ssPv4(X0)
| ssPv2(skf3(X0))
| ssPv1(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f62,f53]) ).
fof(f163,plain,
! [X0] :
( ~ ssPv1(skf3(X0))
| ~ ssPv1(X0)
| ~ ssPv4(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f64,f53]) ).
fof(f166,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ssPv4(X0)
| ssPv2(skf2(X1))
| ssPv1(X1)
| ssPv2(X1) ),
inference(resolution,[status(thm)],[f66,f54]) ).
fof(f167,plain,
! [X0] :
( ssPv4(skf3(X0))
| ssPv2(skf2(X0))
| ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f166,f53]) ).
fof(f173,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X0)
| ssPv3(skf3(X1))
| ssPv3(X1)
| ssPv4(X1) ),
inference(resolution,[status(thm)],[f70,f53]) ).
fof(f176,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ssPv2(skf2(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f72,f54]) ).
fof(f178,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ssPv2(skf2(X1))
| ssPv2(X1)
| ssPv3(X1) ),
inference(resolution,[status(thm)],[f74,f54]) ).
fof(f182,plain,
! [X0] :
( ~ ssPv1(skf2(X0))
| ssPv2(skf2(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f176,f54]) ).
fof(f183,plain,
! [X0] :
( ~ ssPv2(skf3(X0))
| ssPv2(skf2(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f178,f53]) ).
fof(f193,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X0)
| ssPv4(skf3(X1))
| ssPv1(X1)
| ssPv4(X1) ),
inference(resolution,[status(thm)],[f80,f53]) ).
fof(f195,plain,
! [X0] :
( ~ ssPv3(skf3(X0))
| ssPv4(skf3(X0))
| ssPv1(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f193,f53]) ).
fof(f202,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ssPv2(skf2(X1))
| ssPv1(X1)
| ssPv3(X1) ),
inference(resolution,[status(thm)],[f84,f54]) ).
fof(f207,plain,
! [X0] :
( ~ ssPv2(skf3(X0))
| ssPv2(skf2(X0))
| ssPv1(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f202,f53]) ).
fof(f213,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssPv2(X1)
| ssPv3(X0)
| ssPv2(skf3(X1)) ),
inference(resolution,[status(thm)],[f90,f53]) ).
fof(f215,plain,
! [X0] :
( ~ ssPv1(X0)
| ~ ssPv2(X0)
| ssPv3(skf3(X0))
| ssPv2(skf3(X0)) ),
inference(resolution,[status(thm)],[f213,f53]) ).
fof(f216,plain,
! [X0] :
( ~ ssPv1(skf2(X0))
| ~ ssPv2(skf2(X0))
| ssPv3(X0)
| ssPv2(skf3(skf2(X0))) ),
inference(resolution,[status(thm)],[f213,f54]) ).
fof(f218,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X0)
| ~ ssPv4(X1)
| ssPv2(skf2(X1))
| ssPv3(X1) ),
inference(resolution,[status(thm)],[f92,f54]) ).
fof(f219,plain,
! [X0] :
( ~ ssPv3(skf3(X0))
| ~ ssPv4(X0)
| ssPv2(skf2(X0))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f218,f53]) ).
fof(f221,plain,
! [X0,X1] :
( ~ ssRr(skf3(X0),X1)
| ~ ssPv3(X1)
| ~ ssPv1(skf3(X0))
| ssPv1(X0)
| ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[f94,f53]) ).
fof(f222,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssPv1(X0)
| ssPv1(skf2(X0))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f94,f54]) ).
fof(f224,plain,
! [X0] :
( ~ ssPv3(skf2(X0))
| ~ ssPv1(X0)
| ssPv1(skf2(X0))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f222,f54]) ).
fof(f226,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv1(skf2(X1))
| ~ ssPv4(X1)
| ssPv2(X0)
| ssPv2(X1) ),
inference(resolution,[status(thm)],[f96,f54]) ).
fof(f232,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssPv1(skf2(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f102,f54]) ).
fof(f233,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv2(X1)
| ssPv1(X0)
| ssPv1(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f104,f78]) ).
fof(f235,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ssPv1(X0)
| ssPv1(X1) ),
inference(resolution,[status(thm)],[f233,f54]) ).
fof(f237,plain,
! [X0] :
( ~ ssPv2(skf2(X0))
| ssPv1(X0)
| ssPv1(skf2(X0)) ),
inference(resolution,[status(thm)],[f235,f54]) ).
fof(f312,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X0)
| ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ssPv4(skf3(X1))
| ssPv3(X1) ),
inference(resolution,[status(thm)],[f130,f53]) ).
fof(f335,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X0)
| ~ ssPv2(skf2(X1))
| ssPv4(skf3(X1))
| ssPv3(X1) ),
inference(resolution,[status(thm)],[f312,f54]) ).
fof(f338,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ~ ssRr(X1,X2)
| ~ ssPv1(X2)
| ~ ssPv2(X1)
| ssPv3(skf3(X1)) ),
inference(resolution,[status(thm)],[f138,f53]) ).
fof(f341,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ~ ssRr(X2,X1)
| ~ ssPv1(skf2(X1))
| ~ ssPv2(X1)
| ssPv3(X2) ),
inference(resolution,[status(thm)],[f138,f54]) ).
fof(f355,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ~ ssPv1(skf2(X1))
| ~ ssPv2(X1)
| ssPv3(skf3(X1)) ),
inference(resolution,[status(thm)],[f338,f54]) ).
fof(f358,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ~ ssPv3(skf2(X1))
| ~ ssPv2(X1)
| ssPv1(skf2(X1)) ),
inference(resolution,[status(thm)],[f140,f54]) ).
fof(f397,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X0)
| ~ ssPv2(skf3(X1))
| ~ ssRr(X1,X2)
| ~ ssPv4(X1)
| ssPv3(X2) ),
inference(resolution,[status(thm)],[f146,f53]) ).
fof(f408,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X0)
| ~ ssPv3(skf3(X1))
| ~ ssRr(X1,X2)
| ~ ssPv3(X2)
| ssPv1(X1) ),
inference(resolution,[status(thm)],[f150,f53]) ).
fof(f416,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv1(skf2(X1))
| ~ ssPv3(X1)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f152,f54]) ).
fof(f430,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X0)
| ~ ssPv2(skf3(X1))
| ~ ssPv4(X1)
| ssPv3(skf2(X1)) ),
inference(resolution,[status(thm)],[f397,f54]) ).
fof(f438,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X0)
| ~ ssPv3(skf3(X1))
| ~ ssPv3(skf2(X1))
| ssPv1(X1) ),
inference(resolution,[status(thm)],[f408,f54]) ).
fof(f450,plain,
! [X0,X1] :
( ssPv1(X0)
| ssPv3(X0)
| ssPv4(X0)
| ~ ssRr(X1,X0)
| ~ ssPv4(X1)
| ~ ssPv3(skf3(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f156,f438]) ).
fof(f451,plain,
! [X0,X1] :
( ssPv1(X0)
| ssPv3(X0)
| ssPv4(X0)
| ~ ssRr(X1,X0)
| ~ ssPv4(X1)
| ~ ssPv3(skf3(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f450]) ).
fof(f452,plain,
! [X0,X1] :
( ssPv1(X0)
| ssPv3(X0)
| ssPv4(X0)
| ~ ssRr(X1,X0)
| ~ ssPv4(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f451,f173]) ).
fof(f457,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(X0)
| ssPv4(X0)
| ~ ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[f452,f53]) ).
fof(f485,plain,
! [X0] :
( ssPv4(skf3(X0))
| ssPv1(X0)
| ssPv2(X0)
| ssPv1(X0)
| ssPv1(skf2(X0)) ),
inference(resolution,[status(thm)],[f167,f237]) ).
fof(f486,plain,
! [X0] :
( ssPv4(skf3(X0))
| ssPv1(X0)
| ssPv2(X0)
| ssPv1(skf2(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f485]) ).
fof(f514,plain,
! [X0] :
( ssPv1(X0)
| ssPv2(X0)
| ssPv1(skf2(X0))
| ssPv1(X0)
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f486,f457]) ).
fof(f515,plain,
! [X0] :
( ssPv1(X0)
| ssPv2(X0)
| ssPv1(skf2(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f514]) ).
fof(f516,plain,
! [X0] :
( ssPv1(X0)
| ssPv2(X0)
| ssPv1(skf2(X0))
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f515,f158]) ).
fof(f535,plain,
! [X0,X1] :
( ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0)
| ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f516,f232]) ).
fof(f536,plain,
! [X0,X1] :
( ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0)
| ~ ssRr(X0,X1)
| ~ ssPv2(X1) ),
inference(duplicate_literals_removal,[status(esa)],[f535]) ).
fof(f545,plain,
! [X0] :
( ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0)
| ~ ssPv2(skf2(X0)) ),
inference(resolution,[status(thm)],[f536,f54]) ).
fof(f546,plain,
! [X0] :
( ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0)
| ssPv4(skf3(X0))
| ssPv1(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f545,f167]) ).
fof(f547,plain,
! [X0] :
( ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0)
| ssPv4(skf3(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f546]) ).
fof(f568,plain,
! [X0] :
( ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0)
| ssPv1(X0)
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f547,f457]) ).
fof(f569,plain,
! [X0] :
( ssPv1(X0)
| ssPv2(X0)
| ssPv3(X0)
| ssPv4(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f568]) ).
fof(f600,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(X0)
| ssPv4(X0)
| ssPv2(skf3(X0))
| ssPv1(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f569,f159]) ).
fof(f601,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(X0)
| ssPv4(X0)
| ssPv2(skf3(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f600]) ).
fof(f602,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(X0)
| ssPv2(skf3(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f601,f161]) ).
fof(f603,plain,
! [X0] :
( ssPv2(skf2(X0))
| ssPv1(X0)
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f207,f602]) ).
fof(f604,plain,
! [X0,X1] :
( ssPv1(X0)
| ssPv3(X0)
| ~ ssRr(X1,X0)
| ~ ssPv4(X1)
| ~ ssPv4(X0)
| ssPv3(skf2(X0)) ),
inference(resolution,[status(thm)],[f602,f430]) ).
fof(f605,plain,
! [X0,X1] :
( ssPv1(X0)
| ssPv3(X0)
| ~ ssRr(X1,X0)
| ~ ssPv4(X1)
| ssPv3(skf2(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f604,f452]) ).
fof(f608,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(X0)
| ssPv2(skf2(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f602,f183]) ).
fof(f609,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(X0)
| ssPv2(skf2(X0))
| ssPv2(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f608]) ).
fof(f610,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(X0)
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f609,f545]) ).
fof(f638,plain,
! [X0,X1] :
( ssPv1(X0)
| ssPv3(X0)
| ~ ssRr(X1,X0)
| ~ ssPv3(X1)
| ssPv4(skf3(X0))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f603,f335]) ).
fof(f639,plain,
! [X0,X1] :
( ssPv1(X0)
| ssPv3(X0)
| ~ ssRr(X1,X0)
| ~ ssPv3(X1)
| ssPv4(skf3(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f638]) ).
fof(f646,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(X0)
| ssPv1(X0)
| ssPv1(skf2(X0)) ),
inference(resolution,[status(thm)],[f603,f237]) ).
fof(f647,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(X0)
| ssPv1(skf2(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f646]) ).
fof(f657,plain,
! [X0] :
( ~ ssPv3(skf2(X0))
| ssPv1(skf2(X0))
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f224,f647]) ).
fof(f661,plain,
! [X0,X1] :
( ssPv1(X0)
| ssPv3(X0)
| ~ ssRr(X1,X0)
| ~ ssPv2(X1)
| ~ ssPv2(X0)
| ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[f647,f355]) ).
fof(f662,plain,
! [X0,X1] :
( ssPv1(X0)
| ssPv3(X0)
| ~ ssRr(X1,X0)
| ~ ssPv2(X1)
| ssPv3(skf3(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f661,f610]) ).
fof(f697,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(X0)
| ~ ssPv3(skf3(X0))
| ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[f639,f53]) ).
fof(f711,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(X0)
| ~ ssPv2(skf3(X0))
| ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[f662,f53]) ).
fof(f712,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(X0)
| ssPv3(skf3(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f711,f602]) ).
fof(f715,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(X0)
| ssPv4(skf3(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f697,f712]) ).
fof(f717,plain,
! [X0,X1] :
( ssPv1(X0)
| ssPv3(X0)
| ~ ssRr(X1,X0)
| ~ ssPv4(X1)
| ~ ssPv3(skf2(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f712,f438]) ).
fof(f718,plain,
! [X0,X1] :
( ssPv1(X0)
| ssPv3(X0)
| ~ ssRr(X1,X0)
| ~ ssPv4(X1)
| ~ ssPv3(skf2(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f717]) ).
fof(f719,plain,
! [X0,X1] :
( ssPv1(X0)
| ssPv3(X0)
| ~ ssRr(X1,X0)
| ~ ssPv4(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f718,f605]) ).
fof(f794,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(X0)
| ~ ssPv4(skf3(X0)) ),
inference(resolution,[status(thm)],[f719,f53]) ).
fof(f795,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f794,f715]) ).
fof(f807,plain,
! [X0] :
( ssPv1(skf2(X0))
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f657,f795]) ).
fof(f808,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ~ ssPv2(X1)
| ssPv1(skf2(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[f358,f795]) ).
fof(f832,plain,
! [X0] :
( ~ ssPv2(skf2(X0))
| ssPv3(X0)
| ssPv2(skf3(skf2(X0))) ),
inference(backward_subsumption_resolution,[status(thm)],[f216,f807]) ).
fof(f833,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ssPv2(X0)
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f232,f807]) ).
fof(f834,plain,
! [X0] :
( ssPv2(skf2(X0))
| ssPv3(X0)
| ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f182,f807]) ).
fof(f851,plain,
! [X0,X1] :
( ssPv3(X0)
| ~ ssRr(X1,X0)
| ~ ssPv4(X0)
| ssPv2(X1)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f807,f226]) ).
fof(f857,plain,
! [X0] :
( ~ ssPv3(skf3(X0))
| ssPv2(skf2(X0))
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f219,f834]) ).
fof(f877,plain,
! [X0] :
( ~ ssPv2(skf2(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f833,f54]) ).
fof(f878,plain,
! [X0] :
( ~ ssPv2(skf3(X0))
| ssPv2(X0)
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f183,f877]) ).
fof(f881,plain,
! [X0] :
( ssPv2(X0)
| ssPv3(X0)
| ssPv3(X0)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f877,f834]) ).
fof(f882,plain,
! [X0] :
( ssPv2(X0)
| ssPv3(X0)
| ssPv4(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f881]) ).
fof(f936,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ~ ssRr(X2,X1)
| ~ ssPv2(X1)
| ssPv3(X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f341,f808]) ).
fof(f937,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ~ ssPv2(X1)
| ssPv3(skf3(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[f355,f808]) ).
fof(f969,plain,
! [X0] :
( ~ ssPv2(skf3(X0))
| ~ ssPv2(X0)
| ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[f937,f53]) ).
fof(f971,plain,
! [X0] :
( ~ ssPv1(X0)
| ~ ssPv2(X0)
| ssPv3(skf3(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f215,f969]) ).
fof(f1019,plain,
! [X0,X1] :
( ssPv3(X0)
| ~ ssRr(X1,X0)
| ssPv2(X1)
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f851,f882]) ).
fof(f1021,plain,
! [X0] :
( ssPv3(X0)
| ssPv2(skf3(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f1019,f53]) ).
fof(f1022,plain,
! [X0] :
( ssPv3(X0)
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1021,f878]) ).
fof(f1035,plain,
! [X0] :
( ssPv3(X0)
| ~ ssPv1(X0)
| ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[f1022,f971]) ).
fof(f1036,plain,
! [X0] :
( ssPv3(X0)
| ssPv3(skf3(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1035,f795]) ).
fof(f1049,plain,
! [X0] :
( ssPv2(skf2(X0))
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f857,f1036]) ).
fof(f1061,plain,
! [X0] :
( ssPv3(X0)
| ssPv2(skf3(skf2(X0))) ),
inference(backward_subsumption_resolution,[status(thm)],[f832,f1049]) ).
fof(f1185,plain,
! [X0,X1] :
( ~ ssRr(skf3(X0),X1)
| ~ ssPv3(X1)
| ssPv1(X0)
| ssPv3(skf3(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f221,f795]) ).
fof(f1186,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv1(X0)
| ssPv3(skf3(X0)) ),
inference(resolution,[status(thm)],[f1185,f53]) ).
fof(f1187,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(skf3(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1186,f1036]) ).
fof(f1192,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X0)
| ~ ssPv3(skf2(X1))
| ssPv1(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f438,f1187]) ).
fof(f1194,plain,
! [X0] :
( ssPv4(skf3(X0))
| ssPv1(X0)
| ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f195,f1187]) ).
fof(f1220,plain,
! [X0,X1] :
( ~ ssRr(X0,skf2(X1))
| ~ ssPv2(X0)
| ~ ssPv2(skf2(X1))
| ssPv3(X1) ),
inference(resolution,[status(thm)],[f936,f54]) ).
fof(f1221,plain,
! [X0,X1] :
( ~ ssRr(X0,skf2(X1))
| ~ ssPv2(X0)
| ssPv3(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f1220,f1049]) ).
fof(f1222,plain,
! [X0] :
( ~ ssPv2(skf3(skf2(X0)))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f1221,f53]) ).
fof(f1223,plain,
! [X0] : ssPv3(X0),
inference(forward_subsumption_resolution,[status(thm)],[f1222,f1061]) ).
fof(f1240,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv1(skf2(X1))
| ~ ssPv3(X1)
| ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f416,f1223]) ).
fof(f1241,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv1(skf2(X1))
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1240,f1223]) ).
fof(f1242,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X1,X3)
| ~ ssPv1(X3)
| ~ ssPv3(X1)
| ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f152,f1223]) ).
fof(f1243,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X1,X3)
| ~ ssPv1(X3)
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1242,f1223]) ).
fof(f1260,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X0)
| ssPv1(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f1192,f1223]) ).
fof(f1270,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X0)
| ~ ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f118,f1260]) ).
fof(f1272,plain,
! [X0] :
( ~ ssPv4(skf3(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f1260,f53]) ).
fof(f1273,plain,
! [X0] :
( ~ ssPv4(X0)
| ssPv1(skf2(X0)) ),
inference(resolution,[status(thm)],[f1260,f54]) ).
fof(f1278,plain,
! [X0] :
( ssPv1(X0)
| ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1194,f1272]) ).
fof(f1292,plain,
! [X0] :
( ssPv1(skf2(X0))
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f1273,f1278]) ).
fof(f1309,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ssPv4(X0)
| ssPv1(X1) ),
inference(resolution,[status(thm)],[f1241,f1292]) ).
fof(f1310,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ssPv1(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f1309,f1260]) ).
fof(f1322,plain,
! [X0] : ssPv1(X0),
inference(resolution,[status(thm)],[f1310,f53]) ).
fof(f1324,plain,
! [X0,X1,X2,X3] :
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X1,X3)
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1243,f1310]) ).
fof(f1327,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f1324,f54]) ).
fof(f1346,plain,
! [X0] :
( ~ ssPv1(X0)
| ~ ssPv4(X0)
| ssPv2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f163,f1322]) ).
fof(f1347,plain,
! [X0] :
( ~ ssPv4(X0)
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1346,f1322]) ).
fof(f1352,plain,
! [X0] : ssPv4(X0),
inference(resolution,[status(thm)],[f1327,f54]) ).
fof(f1353,plain,
! [X0] : ssPv2(X0),
inference(backward_subsumption_resolution,[status(thm)],[f1347,f1352]) ).
fof(f1355,plain,
! [X0,X1,X2] :
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X0)
| ~ ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1270,f1353]) ).
fof(f1358,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[f1355,f54]) ).
fof(f1359,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1358,f1322]) ).
fof(f1360,plain,
! [X0,X1] : ~ ssRr(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f1359,f1352]) ).
fof(f1361,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f53,f1360]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN796-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n031.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 29 22:39:28 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.6.0
% 5.39/1.07 % Refutation found
% 5.39/1.07 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.39/1.07 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.39/1.08 % Elapsed time: 0.731769 seconds
% 5.39/1.08 % CPU time: 5.754353 seconds
% 5.39/1.08 % Total memory used: 27.468 MB
% 5.39/1.08 % Net memory used: 26.514 MB
%------------------------------------------------------------------------------