%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN755-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:17:14 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.52s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 28
% Syntax : Number of formulae : 208 ( 7 unt; 0 def)
% Number of atoms : 953 ( 0 equ)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 1268 ( 523 ~; 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 : 414 ( 414 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [U] : ssRr(U,skf1(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [U,V] :
( ssPv3(U)
| ssPv2(U)
| ssPv1(U)
| ~ ssPv1(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [U,V] :
( ssPv4(U)
| ssPv3(U)
| ~ ssPv2(U)
| ~ ssPv3(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [U,V] :
( ssPv4(U)
| ssPv3(U)
| ~ ssPv2(U)
| ~ ssPv1(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [U,V] :
( ssPv3(U)
| ssPv1(U)
| ~ ssPv2(U)
| ~ ssPv4(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [U,V] :
( ssPv3(V)
| ~ ssPv4(U)
| ~ ssPv2(U)
| ~ ssPv1(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [U,V] :
( ~ ssPv4(U)
| ~ ssPv3(U)
| ~ ssPv2(U)
| ~ ssPv1(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [U,V,W] :
( ssPv3(U)
| ssPv2(U)
| ssPv1(W)
| ssPv4(V)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [U,V,W] :
( ssPv4(U)
| ssPv1(W)
| ssPv4(V)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [U,V,W] :
( ssPv3(U)
| ssPv2(W)
| ssPv3(V)
| ~ ssPv2(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [U,V,W] :
( ssPv4(U)
| ssPv3(U)
| ssPv3(W)
| ~ ssRr(U,W)
| ~ ssPv1(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [U,V,W] :
( ssPv4(U)
| ssPv2(U)
| ssPv4(W)
| ~ ssRr(U,W)
| ~ ssPv3(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [U,V,W] :
( ssPv2(U)
| ssPv1(U)
| ssPv3(W)
| ~ ssRr(U,W)
| ~ ssPv1(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
! [U,V,W] :
( ssPv3(U)
| ssPv2(W)
| ~ ssPv2(U)
| ~ ssRr(U,W)
| ~ ssPv1(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
! [U,V,W] :
( ssPv2(U)
| ssPv4(W)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ~ ssPv2(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [U,V,W] :
( ssPv2(U)
| ssPv2(W)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ~ ssPv3(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
! [U,V,W] :
( ssPv4(U)
| ssPv2(U)
| ~ ssPv3(W)
| ~ ssRr(U,W)
| ~ ssPv4(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
! [U,V,W] :
( ssPv1(U)
| ssPv4(W)
| ~ ssPv3(U)
| ~ ssRr(U,W)
| ~ ssPv3(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
! [U,V,W] :
( ssPv1(U)
| ssPv4(W)
| ~ ssPv2(U)
| ~ ssRr(U,W)
| ~ ssPv3(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
! [U,V,W] :
( ssPv3(U)
| ssPv1(U)
| ~ ssPv2(W)
| ~ ssRr(U,W)
| ~ ssPv4(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
! [U,V,W] :
( ssPv1(W)
| ~ ssPv4(U)
| ~ ssPv2(U)
| ~ ssRr(U,W)
| ~ ssPv2(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
! [U,V,W] :
( ssPv3(U)
| ~ ssPv4(U)
| ~ ssPv3(W)
| ~ ssRr(U,W)
| ~ ssPv4(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
! [U,V,W] :
( ssPv2(U)
| ~ ssPv4(U)
| ~ ssPv1(W)
| ~ ssRr(U,W)
| ~ ssPv2(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
! [U,V,W] :
( ssPv1(U)
| ~ ssPv3(U)
| ~ ssPv3(W)
| ~ ssRr(U,W)
| ~ ssPv4(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
! [U,V,W,X] :
( ssPv4(U)
| ssPv1(X)
| ssPv3(W)
| ~ ssRr(U,X)
| ~ ssRr(U,W)
| ~ ssPv2(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
! [U,V,W,X] :
( ssPv2(X)
| ssPv3(W)
| ~ ssPv4(U)
| ~ ssRr(U,X)
| ~ ssRr(U,W)
| ~ ssPv4(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
! [U,V,W,X] :
( ssPv4(X)
| ~ ssPv1(U)
| ~ ssRr(U,X)
| ~ ssPv2(W)
| ~ ssRr(U,W)
| ~ ssPv3(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
! [U,V,W,X] :
( ~ ssPv3(U)
| ~ ssPv1(X)
| ~ ssRr(U,X)
| ~ ssPv2(W)
| ~ ssRr(U,W)
| ~ ssPv4(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,plain,
! [X0] : ssRr(X0,skf1(X0)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f53,plain,
! [U] :
( ssPv3(U)
| ssPv2(U)
| ssPv1(U)
| ! [V] :
( ~ ssPv1(V)
| ~ ssRr(U,V) ) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f54,plain,
! [X0,X1] :
( ssPv3(X0)
| ssPv2(X0)
| ssPv1(X0)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f55,plain,
! [U] :
( ssPv4(U)
| ssPv3(U)
| ~ ssPv2(U)
| ! [V] :
( ~ ssPv3(V)
| ~ ssRr(U,V) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f56,plain,
! [X0,X1] :
( ssPv4(X0)
| ssPv3(X0)
| ~ ssPv2(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f57,plain,
! [U] :
( ssPv4(U)
| ssPv3(U)
| ~ ssPv2(U)
| ! [V] :
( ~ ssPv1(V)
| ~ ssRr(U,V) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f58,plain,
! [X0,X1] :
( ssPv4(X0)
| ssPv3(X0)
| ~ ssPv2(X0)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f59,plain,
! [U] :
( ssPv3(U)
| ssPv1(U)
| ~ ssPv2(U)
| ! [V] :
( ~ ssPv4(V)
| ~ ssRr(U,V) ) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f60,plain,
! [X0,X1] :
( ssPv3(X0)
| ssPv1(X0)
| ~ ssPv2(X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f61,plain,
! [V] :
( ssPv3(V)
| ! [U] :
( ~ ssPv4(U)
| ~ ssPv2(U)
| ~ ssPv1(U)
| ~ ssRr(U,V) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f62,plain,
! [X0,X1] :
( ssPv3(X1)
| ~ ssPv4(X0)
| ~ ssPv2(X0)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f63,plain,
! [U] :
( ~ ssPv4(U)
| ~ ssPv3(U)
| ~ ssPv2(U)
| ! [V] :
( ~ ssPv1(V)
| ~ ssRr(U,V) ) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f64,plain,
! [X0,X1] :
( ~ ssPv4(X0)
| ~ ssPv3(X0)
| ~ ssPv2(X0)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f65,plain,
! [U] :
( ssPv3(U)
| ssPv2(U)
| ! [W] :
( ssPv1(W)
| ! [V] :
( ssPv4(V)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ssPv3(X0)
| ssPv2(X0)
| ssPv1(X2)
| ssPv4(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f67,plain,
! [U] :
( ssPv4(U)
| ! [W] :
( ssPv1(W)
| ! [V] :
( ssPv4(V)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ssPv1(X2)
| ssPv4(X1)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f69,plain,
! [U] :
( ssPv3(U)
| ! [W] :
( ssPv2(W)
| ! [V] :
( ssPv3(V)
| ~ ssPv2(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f10]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ssPv3(X0)
| ssPv2(X2)
| ssPv3(X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f71,plain,
! [U] :
( ssPv4(U)
| ssPv3(U)
| ! [W] :
( ssPv3(W)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv1(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f11]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv3(X2)
| ~ ssRr(X0,X2)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f73,plain,
! [U] :
( ssPv4(U)
| ssPv2(U)
| ! [W] :
( ssPv4(W)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv3(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f12]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ssPv2(X0)
| ssPv4(X2)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f81,plain,
! [U] :
( ssPv2(U)
| ssPv1(U)
| ! [W] :
( ssPv3(W)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv1(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f16]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ssPv2(X0)
| ssPv1(X0)
| ssPv3(X2)
| ~ ssRr(X0,X2)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f87,plain,
! [U] :
( ssPv3(U)
| ! [W] :
( ssPv2(W)
| ~ ssPv2(U)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv1(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f19]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ssPv3(X0)
| ssPv2(X2)
| ~ ssPv2(X0)
| ~ ssRr(X0,X2)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f91,plain,
! [U] :
( ssPv2(U)
| ! [W] :
( ssPv4(W)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv2(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ssPv2(X0)
| ssPv4(X2)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f93,plain,
! [U] :
( ssPv2(U)
| ! [W] :
( ssPv2(W)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv3(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ssPv2(X0)
| ssPv2(X2)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f97,plain,
! [U] :
( ssPv4(U)
| ssPv2(U)
| ! [W] :
( ~ ssPv3(W)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv4(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f24]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ssPv2(X0)
| ~ ssPv3(X2)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f103,plain,
! [U] :
( ssPv1(U)
| ! [W] :
( ssPv4(W)
| ~ ssPv3(U)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv3(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f27]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ssPv1(X0)
| ssPv4(X2)
| ~ ssPv3(X0)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f105,plain,
! [U] :
( ssPv1(U)
| ! [W] :
( ssPv4(W)
| ~ ssPv2(U)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv3(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f28]) ).
fof(f106,plain,
! [X0,X1,X2] :
( ssPv1(X0)
| ssPv4(X2)
| ~ ssPv2(X0)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f107,plain,
! [U] :
( ssPv3(U)
| ssPv1(U)
| ! [W] :
( ~ ssPv2(W)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv4(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f29]) ).
fof(f108,plain,
! [X0,X1,X2] :
( ssPv3(X0)
| ssPv1(X0)
| ~ ssPv2(X2)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f111,plain,
! [W] :
( ssPv1(W)
| ! [U] :
( ~ ssPv4(U)
| ~ ssPv2(U)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv2(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f31]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ssPv1(X2)
| ~ ssPv4(X0)
| ~ ssPv2(X0)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f111]) ).
fof(f115,plain,
! [U] :
( ssPv3(U)
| ~ ssPv4(U)
| ! [W] :
( ~ ssPv3(W)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv4(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f33]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ssPv3(X0)
| ~ ssPv4(X0)
| ~ ssPv3(X2)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f119,plain,
! [U] :
( ssPv2(U)
| ~ ssPv4(U)
| ! [W] :
( ~ ssPv1(W)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv2(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f35]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ssPv2(X0)
| ~ ssPv4(X0)
| ~ ssPv1(X2)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f119]) ).
fof(f121,plain,
! [U] :
( ssPv1(U)
| ~ ssPv3(U)
| ! [W] :
( ~ ssPv3(W)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv4(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f36]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ssPv1(X0)
| ~ ssPv3(X0)
| ~ ssPv3(X2)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f121]) ).
fof(f123,plain,
! [U] :
( ssPv4(U)
| ! [X] :
( ssPv1(X)
| ! [W] :
( ssPv3(W)
| ~ ssRr(U,X)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv2(V)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f37]) ).
fof(f124,plain,
! [X0,X1,X2,X3] :
( ssPv4(X0)
| ssPv1(X3)
| ssPv3(X2)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f133,plain,
! [X] :
( ssPv2(X)
| ! [W] :
( ssPv3(W)
| ! [U] :
( ~ ssPv4(U)
| ~ ssRr(U,X)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv4(V)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f42]) ).
fof(f134,plain,
! [X0,X1,X2,X3] :
( ssPv2(X3)
| ssPv3(X2)
| ~ ssPv4(X0)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f143,plain,
! [X] :
( ssPv4(X)
| ! [U] :
( ~ ssPv1(U)
| ~ ssRr(U,X)
| ! [W] :
( ~ ssPv2(W)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv3(V)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f47]) ).
fof(f144,plain,
! [X0,X1,X2,X3] :
( ssPv4(X3)
| ~ ssPv1(X0)
| ~ ssRr(X0,X3)
| ~ ssPv2(X2)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f151,plain,
! [U] :
( ~ ssPv3(U)
| ! [X] :
( ~ ssPv1(X)
| ~ ssRr(U,X)
| ! [W] :
( ~ ssPv2(W)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv4(V)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f51]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( ~ ssPv3(X0)
| ~ ssPv1(X3)
| ~ ssRr(X0,X3)
| ~ ssPv2(X2)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f153,plain,
! [X0] :
( ssPv3(X0)
| ssPv2(X0)
| ssPv1(X0)
| ~ ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f54,f52]) ).
fof(f154,plain,
! [X0] :
( ssPv4(X0)
| ssPv3(X0)
| ~ ssPv2(X0)
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f56,f52]) ).
fof(f155,plain,
! [X0] :
( ssPv4(X0)
| ssPv3(X0)
| ~ ssPv2(X0)
| ~ ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f58,f52]) ).
fof(f157,plain,
! [X0] :
( ssPv3(skf1(X0))
| ~ ssPv4(X0)
| ~ ssPv2(X0)
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[f62,f52]) ).
fof(f159,plain,
! [X0] :
( ~ ssPv4(X0)
| ~ ssPv3(X0)
| ~ ssPv2(X0)
| ~ ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f64,f52]) ).
fof(f160,plain,
! [X0,X1] :
( ssPv3(X0)
| ssPv2(X0)
| ssPv1(skf1(X0))
| ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f66,f52]) ).
fof(f161,plain,
! [X0] :
( ssPv3(X0)
| ssPv2(X0)
| ssPv1(skf1(X0))
| ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f160,f52]) ).
fof(f164,plain,
! [X0] :
( ssPv3(X0)
| ssPv2(X0)
| ssPv1(X0)
| ssPv3(X0)
| ssPv2(X0)
| ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f161,f153]) ).
fof(f165,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(X0)
| ssPv2(X0)
| ssPv4(skf1(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f164]) ).
fof(f167,plain,
! [X0,X1] :
( ssPv4(X0)
| ssPv1(skf1(X0))
| ssPv4(X1)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f68,f52]) ).
fof(f168,plain,
! [X0] :
( ssPv4(X0)
| ssPv1(skf1(X0))
| ssPv4(skf1(X0))
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[f167,f52]) ).
fof(f169,plain,
! [X0,X1] :
( ssPv3(X0)
| ssPv2(skf1(X0))
| ssPv3(X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f70,f52]) ).
fof(f170,plain,
! [X0,X1] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv3(skf1(X0))
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f72,f52]) ).
fof(f176,plain,
! [X0] :
( ssPv3(X0)
| ssPv2(skf1(X0))
| ssPv3(skf1(X0))
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[f169,f52]) ).
fof(f177,plain,
! [X0] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv3(skf1(X0))
| ~ ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f170,f52]) ).
fof(f179,plain,
! [X0] :
( ssPv3(X0)
| ssPv2(X0)
| ssPv4(skf1(X0))
| ssPv4(X0)
| ssPv3(X0)
| ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f177,f161]) ).
fof(f181,plain,
! [X0] :
( ssPv2(X0)
| ssPv4(skf1(X0))
| ssPv4(X0)
| ssPv3(X0)
| ssPv3(skf1(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f179]) ).
fof(f184,plain,
! [X0,X1] :
( ssPv4(X0)
| ssPv2(X0)
| ssPv4(skf1(X0))
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f74,f52]) ).
fof(f185,plain,
! [X0] :
( ssPv4(X0)
| ssPv2(X0)
| ssPv4(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f184,f52]) ).
fof(f186,plain,
! [X0] :
( ssPv2(X0)
| ssPv4(skf1(X0))
| ssPv4(X0)
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f181,f185]) ).
fof(f197,plain,
! [X0,X1] :
( ssPv2(X0)
| ssPv1(X0)
| ssPv3(skf1(X0))
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f82,f52]) ).
fof(f201,plain,
! [X0] :
( ssPv2(X0)
| ssPv1(X0)
| ssPv3(skf1(X0))
| ~ ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f197,f52]) ).
fof(f214,plain,
! [X0,X1] :
( ssPv3(X0)
| ssPv2(skf1(X0))
| ~ ssPv2(X0)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f88,f52]) ).
fof(f215,plain,
! [X0] :
( ssPv3(X0)
| ssPv2(skf1(X0))
| ~ ssPv2(X0)
| ~ ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f214,f52]) ).
fof(f221,plain,
! [X0,X1] :
( ssPv2(X0)
| ssPv4(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f92,f52]) ).
fof(f222,plain,
! [X0] :
( ssPv2(X0)
| ssPv4(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f221,f52]) ).
fof(f225,plain,
! [X0,X1] :
( ssPv2(X0)
| ssPv2(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f94,f52]) ).
fof(f226,plain,
! [X0] :
( ssPv2(X0)
| ssPv2(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f225,f52]) ).
fof(f228,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ssPv2(X0)
| ~ ssPv3(X2)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f98,f74]) ).
fof(f229,plain,
! [X0,X1] :
( ssPv4(X0)
| ssPv2(X0)
| ~ ssPv3(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f228,f52]) ).
fof(f237,plain,
! [X0,X1] :
( ssPv1(X0)
| ssPv4(skf1(X0))
| ~ ssPv3(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f104,f52]) ).
fof(f238,plain,
! [X0] :
( ssPv1(X0)
| ssPv4(skf1(X0))
| ~ ssPv3(X0)
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f237,f52]) ).
fof(f240,plain,
! [X0,X1] :
( ssPv1(X0)
| ssPv4(skf1(X0))
| ~ ssPv2(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f106,f52]) ).
fof(f241,plain,
! [X0] :
( ssPv1(X0)
| ssPv4(skf1(X0))
| ~ ssPv2(X0)
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f240,f52]) ).
fof(f243,plain,
! [X0,X1] :
( ssPv3(X0)
| ssPv1(X0)
| ~ ssPv2(skf1(X0))
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f108,f52]) ).
fof(f250,plain,
! [X0,X1] :
( ssPv1(skf1(X0))
| ~ ssPv4(X0)
| ~ ssPv2(X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f112,f52]) ).
fof(f251,plain,
! [X0,X1] :
( ssPv3(X0)
| ~ ssPv4(X0)
| ~ ssPv3(skf1(X0))
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f116,f52]) ).
fof(f253,plain,
! [X0] :
( ssPv1(skf1(X0))
| ~ ssPv4(X0)
| ~ ssPv2(X0)
| ~ ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f250,f52]) ).
fof(f257,plain,
! [X0,X1] :
( ~ ssPv4(X0)
| ~ ssPv2(X0)
| ~ ssPv1(X0)
| ssPv3(X0)
| ~ ssPv4(X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f251,f157]) ).
fof(f258,plain,
! [X0,X1] :
( ~ ssPv2(X0)
| ~ ssPv1(X0)
| ssPv3(X0)
| ~ ssPv4(X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f257]) ).
fof(f259,plain,
! [X0,X1] :
( ~ ssPv2(X0)
| ssPv3(X0)
| ~ ssPv4(X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f258,f60]) ).
fof(f260,plain,
! [X0] :
( ~ ssPv2(X0)
| ssPv3(X0)
| ~ ssPv4(X0)
| ~ ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f259,f52]) ).
fof(f268,plain,
! [X0,X1] :
( ssPv2(X0)
| ~ ssPv4(X0)
| ~ ssPv1(skf1(X0))
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f120,f52]) ).
fof(f287,plain,
! [X0,X1,X2] :
( ssPv1(X0)
| ~ ssPv3(X0)
| ~ ssPv3(X2)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f122,f104]) ).
fof(f288,plain,
! [X0,X1] :
( ssPv1(X0)
| ~ ssPv3(X0)
| ~ ssPv3(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f287,f52]) ).
fof(f290,plain,
! [X0,X1] :
( ssPv4(X0)
| ssPv1(skf1(X0))
| ssPv3(skf1(X0))
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f124,f52]) ).
fof(f293,plain,
! [X0] :
( ssPv4(X0)
| ssPv1(skf1(X0))
| ssPv3(skf1(X0))
| ~ ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f290,f52]) ).
fof(f295,plain,
! [X0] :
( ssPv3(X0)
| ssPv3(skf1(X0))
| ~ ssPv2(X0)
| ssPv4(X0)
| ssPv1(skf1(X0))
| ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f293,f176]) ).
fof(f298,plain,
! [X0] :
( ssPv3(X0)
| ~ ssPv2(X0)
| ssPv4(X0)
| ssPv1(skf1(X0))
| ssPv3(skf1(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f295]) ).
fof(f299,plain,
! [X0] :
( ssPv3(X0)
| ~ ssPv2(X0)
| ssPv4(X0)
| ssPv1(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f298,f154]) ).
fof(f301,plain,
! [X0] :
( ~ ssPv2(X0)
| ssPv3(X0)
| ~ ssPv4(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f260,f304]) ).
fof(f302,plain,
! [X0,X1] :
( ~ ssPv2(X0)
| ssPv3(X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f259,f304]) ).
fof(f303,plain,
! [X0] :
( ssPv4(skf1(X0))
| ssPv4(X0)
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f186,f304]) ).
fof(f304,plain,
! [X0] :
( ssPv3(X0)
| ~ ssPv2(X0)
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f299,f155]) ).
fof(f305,plain,
! [X0] :
( ssPv3(X0)
| ssPv3(skf1(X0))
| ~ ssPv2(X0)
| ssPv3(skf1(X0))
| ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f304,f176]) ).
fof(f306,plain,
! [X0] :
( ssPv3(X0)
| ~ ssPv2(X0)
| ssPv3(skf1(X0))
| ssPv4(skf1(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f305]) ).
fof(f330,plain,
! [X0] :
( ssPv3(X0)
| ~ ssPv2(X0)
| ssPv3(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f306,f301]) ).
fof(f333,plain,
! [X0] :
( ssPv1(X0)
| ssPv4(skf1(X0))
| ~ ssPv2(X0)
| ssPv3(X0)
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[f330,f241]) ).
fof(f339,plain,
! [X0] :
( ssPv1(X0)
| ssPv4(skf1(X0))
| ssPv3(X0)
| ~ ssPv2(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f333]) ).
fof(f340,plain,
! [X0] :
( ssPv1(X0)
| ssPv4(skf1(X0))
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f339,f165]) ).
fof(f341,plain,
! [X0] :
( ssPv1(X0)
| ssPv4(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f238,f340]) ).
fof(f366,plain,
! [X0,X1] :
( ssPv2(skf1(X0))
| ssPv3(skf1(X0))
| ~ ssPv4(X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f134,f52]) ).
fof(f377,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv3(skf1(X0))
| ~ ssPv4(X0)
| ~ ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f366,f52]) ).
fof(f378,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(X0)
| ssPv2(skf1(X0))
| ssPv3(skf1(X0))
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[f377,f340]) ).
fof(f382,plain,
! [X0,X1] :
( ssPv3(X0)
| ssPv1(X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1)
| ssPv1(X0)
| ssPv3(X0)
| ssPv3(skf1(X0))
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[f378,f243]) ).
fof(f390,plain,
! [X0,X1] :
( ~ ssPv4(X1)
| ~ ssRr(X0,X1)
| ssPv1(X0)
| ssPv3(X0)
| ssPv3(skf1(X0))
| ~ ssPv4(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f382]) ).
fof(f391,plain,
! [X0,X1] :
( ~ ssPv4(X1)
| ~ ssRr(X0,X1)
| ssPv1(X0)
| ssPv3(X0)
| ~ ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f390,f251]) ).
fof(f408,plain,
! [X0] :
( ~ ssPv4(skf1(X0))
| ssPv1(X0)
| ssPv3(X0)
| ~ ssPv4(X0) ),
inference(resolution,[status(thm)],[f391,f52]) ).
fof(f409,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(X0)
| ~ ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f408,f340]) ).
fof(f411,plain,
! [X0] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv1(skf1(X0))
| ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f409,f303]) ).
fof(f413,plain,
! [X0] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv3(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f411,f177]) ).
fof(f427,plain,
! [X0,X1] :
( ssPv4(X0)
| ssPv2(X0)
| ~ ssRr(X0,X1)
| ssPv4(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f413,f229]) ).
fof(f430,plain,
! [X0,X1] :
( ssPv2(X0)
| ~ ssRr(X0,X1)
| ssPv4(X0)
| ssPv3(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f427]) ).
fof(f431,plain,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ssPv4(X0)
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f430,f304]) ).
fof(f437,plain,
! [X0] :
( ssPv4(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f431,f52]) ).
fof(f438,plain,
! [X0] :
( ssPv1(X0)
| ssPv4(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f341,f437]) ).
fof(f440,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv3(skf1(X0))
| ~ ssPv4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f377,f437]) ).
fof(f441,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f409,f437]) ).
fof(f444,plain,
! [X0,X1] :
( ssPv1(X0)
| ~ ssPv3(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f288,f441]) ).
fof(f446,plain,
! [X0] :
( ssPv2(X0)
| ssPv1(X0)
| ssPv3(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f201,f441]) ).
fof(f449,plain,
! [X0] :
( ~ ssPv4(X0)
| ~ ssPv3(X0)
| ~ ssPv2(X0)
| ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f441,f159]) ).
fof(f450,plain,
! [X0] :
( ~ ssPv4(X0)
| ~ ssPv2(X0)
| ssPv3(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f449,f330]) ).
fof(f451,plain,
! [X0] :
( ssPv2(X0)
| ssPv4(skf1(X0))
| ~ ssPv2(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f222,f438]) ).
fof(f453,plain,
! [X0] :
( ssPv4(X0)
| ssPv1(skf1(X0))
| ssPv4(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f168,f438]) ).
fof(f471,plain,
! [X0,X1] :
( ~ ssPv4(X0)
| ~ ssPv2(X0)
| ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f444,f450]) ).
fof(f472,plain,
! [X0,X1] :
( ssPv2(X0)
| ssPv1(X0)
| ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f444,f446]) ).
fof(f474,plain,
! [X0,X1] :
( ssPv2(X0)
| ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f472]) ).
fof(f481,plain,
! [X0] :
( ssPv2(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f474,f52]) ).
fof(f482,plain,
! [X0] :
( ssPv2(X0)
| ssPv2(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f226,f481]) ).
fof(f483,plain,
! [X0] :
( ssPv3(X0)
| ssPv2(skf1(X0))
| ~ ssPv2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f215,f481]) ).
fof(f484,plain,
! [X0] :
( ssPv1(skf1(X0))
| ~ ssPv4(X0)
| ~ ssPv2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f253,f481]) ).
fof(f500,plain,
! [X0,X1] :
( ~ ssPv4(X0)
| ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f471,f481]) ).
fof(f501,plain,
! [X0] :
( ~ ssPv4(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f500,f52]) ).
fof(f502,plain,
! [X0] :
( ssPv4(X0)
| ssPv1(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f453,f501]) ).
fof(f504,plain,
! [X0] :
( ssPv3(X0)
| ssPv2(X0)
| ssPv1(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f161,f501]) ).
fof(f508,plain,
! [X0] :
( ssPv1(skf1(X0))
| ~ ssPv2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f484,f502]) ).
fof(f513,plain,
! [X0,X1] :
( ssPv4(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv2(skf1(X0))
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f144,f52]) ).
fof(f516,plain,
! [X0,X1] :
( ssPv4(skf1(X0))
| ~ ssPv2(skf1(X0))
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f513,f438]) ).
fof(f525,plain,
! [X0] :
( ssPv3(X0)
| ssPv1(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f504,f508]) ).
fof(f526,plain,
! [X0,X1] :
( ssPv2(X0)
| ~ ssPv4(X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f525,f268]) ).
fof(f527,plain,
! [X0,X1] :
( ssPv2(X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1)
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f526,f437]) ).
fof(f533,plain,
! [X0] :
( ssPv2(X0)
| ~ ssPv2(skf1(X0))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f527,f52]) ).
fof(f534,plain,
! [X0] :
( ssPv3(skf1(X0))
| ~ ssPv4(X0)
| ssPv2(X0)
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f533,f440]) ).
fof(f536,plain,
! [X0] :
( ssPv3(skf1(X0))
| ~ ssPv4(X0)
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f534,f450]) ).
fof(f540,plain,
! [X0] :
( ssPv3(skf1(X0))
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f536,f437]) ).
fof(f541,plain,
! [X0] :
( ssPv2(X0)
| ssPv2(skf1(X0))
| ssPv3(X0) ),
inference(resolution,[status(thm)],[f540,f482]) ).
fof(f544,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f541,f483]) ).
fof(f545,plain,
! [X0] :
( ssPv2(X0)
| ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f533,f544]) ).
fof(f548,plain,
! [X0] :
( ssPv2(X0)
| ssPv2(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f482,f545]) ).
fof(f549,plain,
! [X0,X1] :
( ssPv3(X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f302,f545]) ).
fof(f555,plain,
! [X0] :
( ssPv2(X0)
| ssPv4(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f451,f548]) ).
fof(f564,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f555,f501]) ).
fof(f566,plain,
! [X0] : ssPv1(skf1(X0)),
inference(forward_subsumption_resolution,[status(thm)],[f564,f508]) ).
fof(f575,plain,
! [X0,X1,X2,X3] :
( ~ ssPv1(X3)
| ~ ssRr(X0,X3)
| ~ ssPv2(X2)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f152,f549]) ).
fof(f576,plain,
! [X0,X1] :
( ~ ssPv1(skf1(X0))
| ~ ssPv2(skf1(X0))
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f575,f52]) ).
fof(f579,plain,
! [X0,X1] :
( ~ ssPv2(skf1(X0))
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f576,f566]) ).
fof(f581,plain,
! [X0,X1] :
( ssPv2(X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f579,f548]) ).
fof(f585,plain,
! [X0] :
( ssPv2(X0)
| ~ ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f581,f52]) ).
fof(f586,plain,
! [X0] : ssPv2(X0),
inference(forward_subsumption_resolution,[status(thm)],[f585,f555]) ).
fof(f598,plain,
! [X0,X1] :
( ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f579,f586]) ).
fof(f605,plain,
! [X0] : ~ ssPv4(skf1(X0)),
inference(resolution,[status(thm)],[f598,f52]) ).
fof(f609,plain,
! [X0,X1] :
( ssPv4(skf1(X0))
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f516,f586]) ).
fof(f610,plain,
! [X0] :
( ssPv4(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f609,f52]) ).
fof(f611,plain,
! [X0] : ssPv4(skf1(X0)),
inference(forward_subsumption_resolution,[status(thm)],[f610,f437]) ).
fof(f612,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f611,f605]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN755-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n008.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 11:15:08 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.52 % Refutation found
% 0.14/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.62/0.54 % Elapsed time: 0.173652 seconds
% 0.62/0.54 % CPU time: 1.118007 seconds
% 0.62/0.54 % Total memory used: 25.194 MB
% 0.62/0.54 % Net memory used: 23.169 MB
%------------------------------------------------------------------------------