%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN757-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 03:20:29 PM UTC 2026
% Result : Satisfiable 1.05s 0.65s
% Output : Saturation 1.05s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [U] : ssRr(U,skf1(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,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] :
( ssPv2(U)
| ssPv1(U)
| ssPv3(V)
| ~ ssPv3(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [U,V] :
( ssPv3(U)
| ssPv2(U)
| ssPv1(U)
| ~ ssPv4(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [U,V] :
( ssPv3(U)
| ssPv4(V)
| ~ ssPv4(U)
| ~ ssPv2(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [U,V] :
( ssPv2(U)
| ssPv3(V)
| ~ ssPv4(U)
| ~ ssPv3(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [U,V] :
( ssPv4(U)
| ssPv2(U)
| ~ ssPv1(U)
| ~ ssPv2(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [U,V] :
( ssPv3(U)
| ssPv1(U)
| ~ ssPv2(U)
| ~ ssPv4(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [U,V,W] :
( ssPv4(U)
| ssPv3(U)
| ssPv2(W)
| ssPv3(V)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [U,V,W] :
( ssPv4(U)
| ssPv2(U)
| ssPv1(W)
| ssPv4(V)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [U,V,W] :
( ssPv2(U)
| ssPv1(U)
| ssPv2(W)
| ssPv4(V)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
! [U,V,W] :
( ssPv3(U)
| ssPv1(W)
| ssPv3(V)
| ~ ssPv2(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [U,V,W] :
( ssPv3(U)
| ssPv1(W)
| ssPv2(V)
| ~ ssPv2(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [U,V,W] :
( ssPv2(U)
| ssPv3(W)
| ssPv4(V)
| ~ ssPv3(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [U,V,W] :
( ssPv2(U)
| ssPv2(W)
| ssPv3(V)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [U,V,W] :
( ssPv4(U)
| ssPv2(U)
| ssPv4(W)
| ~ ssRr(U,W)
| ~ ssPv1(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
! [U,V,W] :
( ssPv4(U)
| ssPv2(U)
| ssPv3(W)
| ~ ssRr(U,W)
| ~ ssPv1(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [U,V,W] :
( ssPv2(U)
| ssPv1(U)
| ssPv2(W)
| ~ ssRr(U,W)
| ~ ssPv4(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [U,V,W] :
( ssPv1(W)
| ssPv3(V)
| ~ ssPv3(U)
| ~ ssPv2(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [U,V,W] :
( ssPv1(W)
| ssPv3(V)
| ~ ssPv4(U)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
! [U,V,W] :
( ssPv3(W)
| ssPv4(V)
| ~ ssPv3(U)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
! [U,V,W] :
( ssPv2(W)
| ssPv3(V)
| ~ ssPv3(U)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
! [U,V,W] :
( ssPv4(U)
| ssPv4(W)
| ~ ssPv2(U)
| ~ ssRr(U,W)
| ~ ssPv2(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
! [U,V,W] :
( ssPv2(U)
| ssPv3(W)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ~ ssPv1(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
! [U,V,W] :
( ssPv2(U)
| ssPv2(W)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ~ ssPv2(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
! [U,V,W] :
( ssPv1(U)
| ssPv3(W)
| ~ ssPv4(U)
| ~ ssRr(U,W)
| ~ ssPv4(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
! [U,V,W] :
( ssPv1(U)
| ssPv1(W)
| ~ ssPv3(U)
| ~ ssRr(U,W)
| ~ ssPv1(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
! [U,V,W] :
( ssPv4(U)
| ssPv1(U)
| ~ ssPv2(W)
| ~ ssRr(U,W)
| ~ ssPv3(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
! [U,V,W] :
( ssPv3(W)
| ~ ssPv4(U)
| ~ ssPv3(U)
| ~ ssRr(U,W)
| ~ ssPv2(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
! [U,V,W] :
( ssPv3(W)
| ~ ssPv3(U)
| ~ ssPv2(U)
| ~ ssRr(U,W)
| ~ ssPv2(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
! [U,V,W] :
( ssPv2(W)
| ~ ssPv2(U)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ~ ssPv1(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,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(f37,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(f38,negated_conjecture,
! [U,V,W] :
( ~ ssPv3(U)
| ~ ssPv1(U)
| ~ ssPv1(W)
| ~ ssRr(U,W)
| ~ ssPv3(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
! [U,V,W,X] :
( ssPv2(U)
| ssPv1(X)
| ssPv2(W)
| ssPv4(V)
| ~ ssRr(U,X)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
! [U,V,W,X] :
( ssPv4(U)
| ssPv1(X)
| ssPv3(W)
| ~ ssRr(U,X)
| ~ ssRr(U,W)
| ~ ssPv4(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
! [U,V,W,X] :
( ssPv2(U)
| ssPv3(X)
| ssPv4(W)
| ~ ssRr(U,X)
| ~ ssRr(U,W)
| ~ ssPv1(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
! [U,V,W,X] :
( ssPv4(U)
| ssPv3(X)
| ssPv4(W)
| ~ ssRr(U,X)
| ~ ssRr(U,W)
| ~ ssPv3(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
! [U,V,W,X] :
( ssPv4(U)
| ssPv1(X)
| ssPv4(W)
| ~ ssRr(U,X)
| ~ ssRr(U,W)
| ~ ssPv1(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
! [U,V,W,X] :
( ssPv4(U)
| ssPv1(X)
| ~ ssRr(U,X)
| ~ ssPv1(W)
| ~ ssRr(U,W)
| ~ ssPv4(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
! [U,V,W,X] :
( ssPv1(X)
| ssPv4(W)
| ~ ssPv4(U)
| ~ ssRr(U,X)
| ~ ssRr(U,W)
| ~ ssPv3(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
! [U,V,W,X] :
( ssPv3(X)
| ssPv4(W)
| ~ ssPv4(U)
| ~ ssRr(U,X)
| ~ ssRr(U,W)
| ~ ssPv1(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
! [U,V,W,X] :
( ssPv4(U)
| ssPv2(X)
| ~ ssRr(U,X)
| ~ ssPv2(W)
| ~ ssRr(U,W)
| ~ ssPv4(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
! [U,V,W,X] :
( ssPv2(X)
| ~ ssPv3(U)
| ~ ssRr(U,X)
| ~ ssPv1(W)
| ~ ssRr(U,W)
| ~ ssPv3(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] :
( ssPv4(U)
| ssPv3(U)
| ssPv2(U)
| ! [V] :
( ssPv3(V)
| ~ ssRr(U,V) ) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f54,plain,
! [X0,X1] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv2(X0)
| ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f57,plain,
! [U] :
( ssPv2(U)
| ssPv1(U)
| ! [V] :
( ssPv3(V)
| ~ ssPv3(U)
| ~ ssRr(U,V) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f58,plain,
! [X0,X1] :
( ssPv2(X0)
| ssPv1(X0)
| ssPv3(X1)
| ~ ssPv3(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f59,plain,
! [U] :
( ssPv3(U)
| ssPv2(U)
| ssPv1(U)
| ! [V] :
( ~ ssPv4(V)
| ~ ssRr(U,V) ) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f60,plain,
! [X0,X1] :
( ssPv3(X0)
| ssPv2(X0)
| ssPv1(X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f61,plain,
! [U] :
( ssPv3(U)
| ! [V] :
( ssPv4(V)
| ~ ssPv4(U)
| ~ ssPv2(U)
| ~ ssRr(U,V) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f62,plain,
! [X0,X1] :
( ssPv3(X0)
| ssPv4(X1)
| ~ ssPv4(X0)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f63,plain,
! [U] :
( ssPv2(U)
| ! [V] :
( ssPv3(V)
| ~ ssPv4(U)
| ~ ssPv3(U)
| ~ ssRr(U,V) ) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f64,plain,
! [X0,X1] :
( ssPv2(X0)
| ssPv3(X1)
| ~ ssPv4(X0)
| ~ ssPv3(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f65,plain,
! [U] :
( ssPv4(U)
| ssPv2(U)
| ~ ssPv1(U)
| ! [V] :
( ~ ssPv2(V)
| ~ ssRr(U,V) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f66,plain,
! [X0,X1] :
( ssPv4(X0)
| ssPv2(X0)
| ~ ssPv1(X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f67,plain,
! [U] :
( ssPv3(U)
| ssPv1(U)
| ~ ssPv2(U)
| ! [V] :
( ~ ssPv4(V)
| ~ ssRr(U,V) ) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f68,plain,
! [X0,X1] :
( ssPv3(X0)
| ssPv1(X0)
| ~ ssPv2(X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f69,plain,
! [U] :
( ssPv4(U)
| ssPv3(U)
| ! [W] :
( ssPv2(W)
| ! [V] :
( ssPv3(V)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f10]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv2(X2)
| ssPv3(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f71,plain,
! [U] :
( ssPv4(U)
| ssPv2(U)
| ! [W] :
( ssPv1(W)
| ! [V] :
( ssPv4(V)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f11]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ssPv2(X0)
| ssPv1(X2)
| ssPv4(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f73,plain,
! [U] :
( ssPv2(U)
| ssPv1(U)
| ! [W] :
( ssPv2(W)
| ! [V] :
( ssPv4(V)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f12]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ssPv2(X0)
| ssPv1(X0)
| ssPv2(X2)
| ssPv4(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f75,plain,
! [U] :
( ssPv3(U)
| ! [W] :
( ssPv1(W)
| ! [V] :
( ssPv3(V)
| ~ ssPv2(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f13]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ssPv3(X0)
| ssPv1(X2)
| ssPv3(X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f77,plain,
! [U] :
( ssPv3(U)
| ! [W] :
( ssPv1(W)
| ! [V] :
( ssPv2(V)
| ~ ssPv2(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ssPv3(X0)
| ssPv1(X2)
| ssPv2(X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f77]) ).
fof(f79,plain,
! [U] :
( ssPv2(U)
| ! [W] :
( ssPv3(W)
| ! [V] :
( ssPv4(V)
| ~ ssPv3(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ssPv2(X0)
| ssPv3(X2)
| ssPv4(X1)
| ~ ssPv3(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f81,plain,
! [U] :
( ssPv2(U)
| ! [W] :
( ssPv2(W)
| ! [V] :
( ssPv3(V)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f16]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ssPv2(X0)
| ssPv2(X2)
| ssPv3(X1)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f83,plain,
! [U] :
( ssPv4(U)
| ssPv2(U)
| ! [W] :
( ssPv4(W)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv1(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ssPv2(X0)
| ssPv4(X2)
| ~ ssRr(X0,X2)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f85,plain,
! [U] :
( ssPv4(U)
| ssPv2(U)
| ! [W] :
( ssPv3(W)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv1(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ssPv2(X0)
| ssPv3(X2)
| ~ ssRr(X0,X2)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f89,plain,
! [U] :
( ssPv2(U)
| ssPv1(U)
| ! [W] :
( ssPv2(W)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv4(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ssPv2(X0)
| ssPv1(X0)
| ssPv2(X2)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f93,plain,
! [W] :
( ssPv1(W)
| ! [V] :
( ssPv3(V)
| ! [U] :
( ~ ssPv3(U)
| ~ ssPv2(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ssPv1(X2)
| ssPv3(X1)
| ~ ssPv3(X0)
| ~ ssPv2(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f95,plain,
! [W] :
( ssPv1(W)
| ! [V] :
( ssPv3(V)
| ! [U] :
( ~ ssPv4(U)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ssPv1(X2)
| ssPv3(X1)
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f97,plain,
! [W] :
( ssPv3(W)
| ! [V] :
( ssPv4(V)
| ! [U] :
( ~ ssPv3(U)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f24]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ssPv3(X2)
| ssPv4(X1)
| ~ ssPv3(X0)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f99,plain,
! [W] :
( ssPv2(W)
| ! [V] :
( ssPv3(V)
| ! [U] :
( ~ ssPv3(U)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f25]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ssPv2(X2)
| ssPv3(X1)
| ~ ssPv3(X0)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f103,plain,
! [U] :
( ssPv4(U)
| ! [W] :
( ssPv4(W)
| ~ ssPv2(U)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv2(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f27]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ssPv4(X2)
| ~ ssPv2(X0)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f105,plain,
! [U] :
( ssPv2(U)
| ! [W] :
( ssPv3(W)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv1(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f28]) ).
fof(f106,plain,
! [X0,X1,X2] :
( ssPv2(X0)
| ssPv3(X2)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f107,plain,
! [U] :
( ssPv2(U)
| ! [W] :
( ssPv2(W)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv2(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f29]) ).
fof(f108,plain,
! [X0,X1,X2] :
( ssPv2(X0)
| ssPv2(X2)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f109,plain,
! [U] :
( ssPv1(U)
| ! [W] :
( ssPv3(W)
| ~ ssPv4(U)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv4(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f30]) ).
fof(f110,plain,
! [X0,X1,X2] :
( ssPv1(X0)
| ssPv3(X2)
| ~ ssPv4(X0)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f109]) ).
fof(f111,plain,
! [U] :
( ssPv1(U)
| ! [W] :
( ssPv1(W)
| ~ ssPv3(U)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv1(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f31]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ssPv1(X0)
| ssPv1(X2)
| ~ ssPv3(X0)
| ~ ssRr(X0,X2)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f111]) ).
fof(f113,plain,
! [U] :
( ssPv4(U)
| ssPv1(U)
| ! [W] :
( ~ ssPv2(W)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv3(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f32]) ).
fof(f114,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ssPv1(X0)
| ~ ssPv2(X2)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f115,plain,
! [W] :
( ssPv3(W)
| ! [U] :
( ~ ssPv4(U)
| ~ ssPv3(U)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv2(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f33]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ssPv3(X2)
| ~ ssPv4(X0)
| ~ ssPv3(X0)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f117,plain,
! [W] :
( ssPv3(W)
| ! [U] :
( ~ ssPv3(U)
| ~ ssPv2(U)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv2(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f34]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ssPv3(X2)
| ~ ssPv3(X0)
| ~ ssPv2(X0)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f119,plain,
! [W] :
( ssPv2(W)
| ! [U] :
( ~ ssPv2(U)
| ~ ssPv1(U)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv1(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f35]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ssPv2(X2)
| ~ ssPv2(X0)
| ~ ssPv1(X0)
| ~ ssRr(X0,X2)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f119]) ).
fof(f121,plain,
! [U] :
( ssPv3(U)
| ~ ssPv4(U)
| ! [W] :
( ~ ssPv3(W)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv4(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f36]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ssPv3(X0)
| ~ ssPv4(X0)
| ~ ssPv3(X2)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f121]) ).
fof(f123,plain,
! [U] :
( ~ ssPv3(U)
| ~ ssPv1(U)
| ! [W] :
( ~ ssPv2(W)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv4(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f37]) ).
fof(f124,plain,
! [X0,X1,X2] :
( ~ ssPv3(X0)
| ~ ssPv1(X0)
| ~ ssPv2(X2)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f125,plain,
! [U] :
( ~ ssPv3(U)
| ~ ssPv1(U)
| ! [W] :
( ~ ssPv1(W)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv3(V)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f38]) ).
fof(f126,plain,
! [X0,X1,X2] :
( ~ ssPv3(X0)
| ~ ssPv1(X0)
| ~ ssPv1(X2)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f125]) ).
fof(f127,plain,
! [U] :
( ssPv2(U)
| ! [X] :
( ssPv1(X)
| ! [W] :
( ssPv2(W)
| ! [V] :
( ssPv4(V)
| ~ ssRr(U,X)
| ~ ssRr(U,W)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f39]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( ssPv2(X0)
| ssPv1(X3)
| ssPv2(X2)
| ssPv4(X1)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f131,plain,
! [U] :
( ssPv4(U)
| ! [X] :
( ssPv1(X)
| ! [W] :
( ssPv3(W)
| ~ ssRr(U,X)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv4(V)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f41]) ).
fof(f132,plain,
! [X0,X1,X2,X3] :
( ssPv4(X0)
| ssPv1(X3)
| ssPv3(X2)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f131]) ).
fof(f135,plain,
! [U] :
( ssPv2(U)
| ! [X] :
( ssPv3(X)
| ! [W] :
( ssPv4(W)
| ~ ssRr(U,X)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv1(V)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f43]) ).
fof(f136,plain,
! [X0,X1,X2,X3] :
( ssPv2(X0)
| ssPv3(X3)
| ssPv4(X2)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f139,plain,
! [U] :
( ssPv4(U)
| ! [X] :
( ssPv3(X)
| ! [W] :
( ssPv4(W)
| ~ ssRr(U,X)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv3(V)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f45]) ).
fof(f140,plain,
! [X0,X1,X2,X3] :
( ssPv4(X0)
| ssPv3(X3)
| ssPv4(X2)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f139]) ).
fof(f141,plain,
! [U] :
( ssPv4(U)
| ! [X] :
( ssPv1(X)
| ! [W] :
( ssPv4(W)
| ~ ssRr(U,X)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv1(V)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f46]) ).
fof(f142,plain,
! [X0,X1,X2,X3] :
( ssPv4(X0)
| ssPv1(X3)
| ssPv4(X2)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f143,plain,
! [U] :
( ssPv4(U)
| ! [X] :
( ssPv1(X)
| ~ ssRr(U,X)
| ! [W] :
( ~ ssPv1(W)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv4(V)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f47]) ).
fof(f144,plain,
! [X0,X1,X2,X3] :
( ssPv4(X0)
| ssPv1(X3)
| ~ ssRr(X0,X3)
| ~ ssPv1(X2)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f145,plain,
! [X] :
( ssPv1(X)
| ! [W] :
( ssPv4(W)
| ! [U] :
( ~ ssPv4(U)
| ~ ssRr(U,X)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv3(V)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f48]) ).
fof(f146,plain,
! [X0,X1,X2,X3] :
( ssPv1(X3)
| ssPv4(X2)
| ~ ssPv4(X0)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f145]) ).
fof(f147,plain,
! [X] :
( ssPv3(X)
| ! [W] :
( ssPv4(W)
| ! [U] :
( ~ ssPv4(U)
| ~ ssRr(U,X)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv1(V)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f49]) ).
fof(f148,plain,
! [X0,X1,X2,X3] :
( ssPv3(X3)
| ssPv4(X2)
| ~ ssPv4(X0)
| ~ ssRr(X0,X3)
| ~ ssRr(X0,X2)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f147]) ).
fof(f149,plain,
! [U] :
( ssPv4(U)
| ! [X] :
( ssPv2(X)
| ~ ssRr(U,X)
| ! [W] :
( ~ ssPv2(W)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv4(V)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f50]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( ssPv4(X0)
| ssPv2(X3)
| ~ ssRr(X0,X3)
| ~ ssPv2(X2)
| ~ ssRr(X0,X2)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f151,plain,
! [X] :
( ssPv2(X)
| ! [U] :
( ~ ssPv3(U)
| ~ ssRr(U,X)
| ! [W] :
( ~ ssPv1(W)
| ~ ssRr(U,W)
| ! [V] :
( ~ ssPv3(V)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f51]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( ssPv2(X3)
| ~ ssPv3(X0)
| ~ ssRr(X0,X3)
| ~ ssPv1(X2)
| ~ ssRr(X0,X2)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f153,plain,
! [X0,X1] :
( ssPv3(X1)
| ~ ssPv4(X0)
| ~ ssPv3(X0)
| ~ ssRr(X0,X1)
| ~ ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f116,f52]) ).
fof(f154,plain,
! [X0] :
( ssPv3(skf1(X0))
| ~ ssPv4(X0)
| ~ ssPv3(X0)
| ~ ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f153,f52]) ).
fof(f155,plain,
! [X0,X1] :
( ssPv3(X1)
| ~ ssPv3(X0)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1)
| ~ ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f118,f52]) ).
fof(f156,plain,
! [X0] :
( ssPv3(skf1(X0))
| ~ ssPv3(X0)
| ~ ssPv2(X0)
| ~ ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f155,f52]) ).
fof(f157,plain,
! [X0,X1] :
( ssPv2(X1)
| ~ ssPv2(X0)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1)
| ~ ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f120,f52]) ).
fof(f158,plain,
! [X0] :
( ssPv2(skf1(X0))
| ~ ssPv2(X0)
| ~ ssPv1(X0)
| ~ ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f157,f52]) ).
fof(f159,plain,
! [X0,X1] :
( ssPv3(X0)
| ~ ssPv4(X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1)
| ~ ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f122,f52]) ).
fof(f160,plain,
! [X0] :
( ssPv3(X0)
| ~ ssPv4(X0)
| ~ ssPv3(skf1(X0))
| ~ ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f159,f52]) ).
fof(f161,plain,
! [X0,X1] :
( ~ ssPv3(X0)
| ~ ssPv1(X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1)
| ~ ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f124,f52]) ).
fof(f162,plain,
! [X0,X1] :
( ~ ssPv3(X0)
| ~ ssPv1(X0)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1)
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f126,f52]) ).
fof(f163,plain,
! [X0] :
( ~ ssPv3(X0)
| ~ ssPv1(X0)
| ~ ssPv2(skf1(X0))
| ~ ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f161,f52]) ).
fof(f164,plain,
! [X0] :
( ~ ssPv3(X0)
| ~ ssPv1(X0)
| ~ ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f162,f52]) ).
fof(f165,plain,
! [X0,X1,X2] :
( ssPv2(X2)
| ~ ssPv3(X0)
| ~ ssRr(X0,X2)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1)
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f152,f52]) ).
fof(f166,plain,
! [X0,X1] :
( ssPv2(X1)
| ~ ssPv3(X0)
| ~ ssRr(X0,X1)
| ~ ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f165,f52]) ).
fof(f167,plain,
! [X0] :
( ssPv2(skf1(X0))
| ~ ssPv3(X0)
| ~ ssPv1(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f166,f52]) ).
fof(f176,plain,
! [X0] :
( ssPv2(X0)
| ssPv1(X0)
| ssPv3(skf1(X0))
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f58,f52]) ).
fof(f178,plain,
! [X0] :
( ssPv3(X0)
| ssPv4(skf1(X0))
| ~ ssPv4(X0)
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[f62,f52]) ).
fof(f181,plain,
! [X0] :
( ssPv2(X0)
| ssPv3(skf1(X0))
| ~ ssPv4(X0)
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f64,f52]) ).
fof(f183,plain,
! [X0] :
( ssPv4(X0)
| ssPv2(X0)
| ~ ssPv1(X0)
| ~ ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f66,f52]) ).
fof(f185,plain,
! [X0,X1] :
( ssPv3(X0)
| ssPv1(X0)
| ~ ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f68,f60]) ).
fof(f186,plain,
! [X0] :
( ssPv3(X0)
| ssPv1(X0)
| ~ ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f185,f52]) ).
fof(f187,plain,
! [X0,X1] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv2(X1)
| ssPv3(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f70,f52]) ).
fof(f188,plain,
! [X0] :
( ssPv4(X0)
| ssPv3(X0)
| ssPv2(skf1(X0))
| ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f187,f52]) ).
fof(f202,plain,
! [X0,X1] :
( ssPv3(X0)
| ssPv1(X1)
| ssPv2(skf1(X0))
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f78,f52]) ).
fof(f203,plain,
! [X0,X1] :
( ssPv2(X0)
| ssPv3(X1)
| ssPv4(skf1(X0))
| ~ ssPv3(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f80,f52]) ).
fof(f213,plain,
! [X0] :
( ssPv3(X0)
| ssPv1(skf1(X0))
| ssPv2(skf1(X0))
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[f202,f52]) ).
fof(f216,plain,
! [X0] :
( ssPv2(X0)
| ssPv3(skf1(X0))
| ssPv4(skf1(X0))
| ~ ssPv3(X0) ),
inference(resolution,[status(thm)],[f203,f52]) ).
fof(f220,plain,
! [X0,X1] :
( ssPv2(X0)
| ssPv2(X1)
| ssPv3(skf1(X0))
| ~ ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f82,f52]) ).
fof(f221,plain,
! [X0] :
( ssPv2(X0)
| ssPv2(skf1(X0))
| ssPv3(skf1(X0))
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[f220,f52]) ).
fof(f223,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ssPv2(X0)
| ssPv4(X2)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f84,f72]) ).
fof(f224,plain,
! [X0,X1] :
( ssPv4(X0)
| ssPv2(X0)
| ssPv4(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f223,f52]) ).
fof(f225,plain,
! [X0] :
( ssPv4(X0)
| ssPv2(X0)
| ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f224,f52]) ).
fof(f226,plain,
! [X0] :
( ssPv3(X0)
| ssPv1(X0)
| ssPv4(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f225,f186]) ).
fof(f232,plain,
! [X0] :
( ssPv2(X0)
| ssPv1(X0)
| ssPv3(skf1(X0))
| ssPv1(X0)
| ssPv4(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f226,f176]) ).
fof(f234,plain,
! [X0] :
( ssPv3(skf1(X0))
| ssPv1(X0)
| ssPv4(X0)
| ssPv2(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f232]) ).
fof(f241,plain,
! [X0,X1] :
( ssPv4(X0)
| ssPv2(X0)
| ssPv3(X1)
| ~ ssRr(X0,X1)
| ~ ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f86,f52]) ).
fof(f242,plain,
! [X0] :
( ssPv4(X0)
| ssPv2(X0)
| ssPv3(skf1(X0))
| ~ ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f241,f52]) ).
fof(f245,plain,
! [X0,X1,X2] :
( ssPv2(X0)
| ssPv2(X2)
| ssPv3(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f82,f246]) ).
fof(f246,plain,
! [X0,X1,X2] :
( ssPv2(X0)
| ssPv1(X0)
| ssPv2(X2)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f90,f74]) ).
fof(f247,plain,
! [X0,X1] :
( ssPv2(X0)
| ssPv1(X0)
| ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f246,f52]) ).
fof(f248,plain,
! [X0,X1] :
( ssPv2(X0)
| ssPv2(X1)
| ssPv3(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f220,f247]) ).
fof(f249,plain,
! [X0] :
( ssPv2(X0)
| ssPv1(X0)
| ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f247,f52]) ).
fof(f250,plain,
! [X0] :
( ssPv2(X0)
| ssPv2(skf1(X0))
| ssPv3(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f221,f249]) ).
fof(f255,plain,
! [X0] :
( ssPv3(skf1(X0))
| ssPv1(skf1(skf1(X0)))
| ssPv2(skf1(skf1(X0)))
| ssPv2(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f249,f213]) ).
fof(f257,plain,
! [X0] :
( ssPv3(skf1(X0))
| ssPv4(skf1(skf1(X0)))
| ~ ssPv4(skf1(X0))
| ssPv2(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f249,f178]) ).
fof(f258,plain,
! [X0] :
( ssPv2(skf1(X0))
| ~ ssPv3(X0)
| ~ ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f250,f167]) ).
fof(f260,plain,
! [X0] :
( ssPv3(X0)
| ~ ssPv4(X0)
| ~ ssPv4(skf1(X0))
| ssPv2(X0)
| ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f250,f160]) ).
fof(f261,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ssPv4(skf1(skf1(X0)))
| ssPv2(X0)
| ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f250,f216]) ).
fof(f262,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ~ ssPv4(skf1(X0))
| ssPv2(X0)
| ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f250,f181]) ).
fof(f264,plain,
! [X0] :
( ~ ssPv3(X0)
| ~ ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv2(skf1(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f258]) ).
fof(f266,plain,
! [X0] :
( ssPv3(skf1(skf1(X0)))
| ssPv4(skf1(skf1(X0)))
| ssPv2(X0)
| ssPv2(skf1(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f261]) ).
fof(f267,plain,
! [X0] :
( ssPv3(skf1(skf1(X0)))
| ~ ssPv4(skf1(X0))
| ssPv2(X0)
| ssPv2(skf1(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f262]) ).
fof(f272,plain,
! [X0,X1,X2] :
( ssPv1(X2)
| ssPv3(X1)
| ~ ssPv2(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f94,f76]) ).
fof(f273,plain,
! [X0,X1] :
( ssPv1(X1)
| ssPv3(skf1(X0))
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f272,f52]) ).
fof(f274,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv3(skf1(X0))
| ~ ssPv2(X0) ),
inference(resolution,[status(thm)],[f273,f52]) ).
fof(f275,plain,
! [X0,X1] :
( ssPv1(X1)
| ssPv3(skf1(X0))
| ~ ssPv4(X0)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f96,f52]) ).
fof(f276,plain,
! [X0,X1] :
( ssPv3(X1)
| ssPv4(skf1(X0))
| ~ ssPv3(X0)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f98,f52]) ).
fof(f277,plain,
! [X0,X1] :
( ssPv2(X1)
| ssPv3(skf1(X0))
| ~ ssPv3(X0)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f100,f52]) ).
fof(f279,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ssPv4(X2)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f104,f224]) ).
fof(f280,plain,
! [X0,X1] :
( ssPv4(X0)
| ssPv4(X1)
| ~ ssRr(X0,X1)
| ~ ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f279,f52]) ).
fof(f281,plain,
! [X0,X1] :
( ssPv2(X0)
| ssPv3(X1)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1)
| ~ ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f106,f52]) ).
fof(f282,plain,
! [X0,X1,X2] :
( ssPv2(X0)
| ssPv2(X2)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f108,f247]) ).
fof(f283,plain,
! [X0,X1] :
( ssPv2(X0)
| ssPv2(X1)
| ~ ssRr(X0,X1)
| ~ ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f282,f52]) ).
fof(f284,plain,
! [X0,X1] :
( ssPv1(X0)
| ssPv3(X1)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1)
| ~ ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f110,f52]) ).
fof(f285,plain,
! [X0] :
( ssPv2(X0)
| ssPv1(X0)
| ssPv1(skf1(skf1(X0)))
| ssPv3(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f274,f249]) ).
fof(f286,plain,
! [X0] :
( ssPv4(X0)
| ssPv4(skf1(X0))
| ~ ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f280,f52]) ).
fof(f289,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv3(skf1(X0))
| ~ ssPv4(X0)
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[f275,f52]) ).
fof(f297,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv3(skf1(X0))
| ~ ssPv3(X0)
| ~ ssPv1(X0) ),
inference(resolution,[status(thm)],[f277,f52]) ).
fof(f304,plain,
! [X0] :
( ssPv2(X0)
| ssPv3(skf1(X0))
| ~ ssPv1(X0)
| ~ ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f281,f52]) ).
fof(f305,plain,
! [X0] :
( ssPv1(X0)
| ssPv3(skf1(X0))
| ~ ssPv4(X0)
| ~ ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f284,f52]) ).
fof(f307,plain,
! [X0,X1] :
( ssPv1(X0)
| ssPv1(X1)
| ~ ssPv3(X0)
| ~ ssRr(X0,X1)
| ~ ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f112,f52]) ).
fof(f309,plain,
! [X0,X1] :
( ssPv4(X0)
| ssPv1(X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1)
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f114,f52]) ).
fof(f310,plain,
! [X0] :
( ssPv4(X0)
| ssPv1(X0)
| ~ ssPv2(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f309,f52]) ).
fof(f312,plain,
! [X0] :
( ssPv1(X0)
| ssPv4(X0)
| ssPv2(X0)
| ssPv4(X0)
| ssPv1(X0)
| ~ ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f310,f234]) ).
fof(f316,plain,
! [X0] :
( ssPv2(X0)
| ssPv4(X0)
| ssPv1(X0)
| ~ ssPv2(skf1(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f312]) ).
fof(f317,plain,
! [X0] :
( ssPv2(X0)
| ssPv4(X0)
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f316,f249]) ).
fof(f319,plain,
! [X0] :
( ssPv4(X0)
| ssPv2(X0)
| ~ ssPv2(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f183,f317]) ).
fof(f320,plain,
! [X0,X1] :
( ssPv4(X0)
| ssPv2(X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f66,f317]) ).
fof(f321,plain,
! [X0] :
( ssPv4(X0)
| ssPv4(skf1(X0))
| ssPv4(skf1(X0))
| ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f317,f286]) ).
fof(f324,plain,
! [X0] :
( ssPv3(skf1(X0))
| ~ ssPv4(X0)
| ~ ssPv3(X0)
| ssPv4(skf1(X0))
| ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f317,f154]) ).
fof(f325,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv3(skf1(X0))
| ssPv4(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f317,f274]) ).
fof(f328,plain,
! [X0] :
( ssPv4(X0)
| ssPv4(skf1(X0))
| ssPv1(skf1(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f321]) ).
fof(f335,plain,
! [X0] :
( ssPv3(X0)
| ssPv1(X0)
| ssPv4(X0)
| ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f328,f186]) ).
fof(f342,plain,
! [X0] :
( ssPv4(X0)
| ssPv1(X0)
| ~ ssPv2(skf1(X0))
| ssPv1(skf1(X0))
| ssPv4(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f325,f310]) ).
fof(f349,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ~ ssPv4(skf1(X0))
| ssPv1(skf1(X0))
| ssPv4(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f325,f181]) ).
fof(f351,plain,
! [X0] :
( ~ ssPv2(skf1(X0))
| ssPv1(skf1(X0))
| ssPv4(X0)
| ssPv1(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f342]) ).
fof(f352,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ssPv1(skf1(X0))
| ssPv4(X0)
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f349,f317]) ).
fof(f359,plain,
! [X0] :
( ssPv4(X0)
| ssPv2(X0)
| ssPv3(skf1(skf1(X0)))
| ssPv2(X0)
| ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f267,f225]) ).
fof(f361,plain,
! [X0] :
( ssPv4(X0)
| ssPv3(skf1(skf1(X0)))
| ssPv2(X0)
| ssPv2(skf1(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f359]) ).
fof(f362,plain,
! [X0] :
( ssPv4(X0)
| ssPv3(skf1(skf1(X0)))
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f361,f319]) ).
fof(f364,plain,
! [X0] :
( ssPv2(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0))
| ~ ssPv1(skf1(skf1(X0)))
| ssPv4(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f362,f167]) ).
fof(f365,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ~ ssPv1(skf1(X0))
| ~ ssPv1(skf1(skf1(X0)))
| ssPv4(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f362,f164]) ).
fof(f372,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ~ ssPv1(skf1(skf1(X0)))
| ssPv4(X0)
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f365,f242]) ).
fof(f398,plain,
! [X0] :
( ssPv3(skf1(X0))
| ~ ssPv3(X0)
| ssPv4(skf1(X0))
| ssPv1(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f324,f328]) ).
fof(f410,plain,
! [X0] :
( ~ ssPv3(skf1(X0))
| ~ ssPv1(skf1(X0))
| ~ ssPv1(skf1(skf1(X0)))
| ssPv4(skf1(skf1(X0)))
| ssPv2(X0)
| ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f266,f164]) ).
fof(f418,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ~ ssPv1(skf1(skf1(X0)))
| ssPv4(skf1(skf1(X0)))
| ssPv2(X0)
| ssPv2(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f410,f250]) ).
fof(f437,plain,
! [X0] :
( ssPv3(skf1(skf1(X0)))
| ssPv1(skf1(X0))
| ssPv4(X0)
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f352,f351]) ).
fof(f439,plain,
! [X0] :
( ssPv2(skf1(skf1(X0)))
| ~ ssPv3(skf1(X0))
| ~ ssPv1(skf1(skf1(X0)))
| ssPv1(skf1(X0))
| ssPv4(X0)
| ssPv1(X0) ),
inference(resolution,[status(thm)],[f437,f167]) ).
fof(f449,plain,
! [X0] :
( ssPv2(skf1(skf1(X0)))
| ~ ssPv1(skf1(skf1(X0)))
| ssPv1(skf1(X0))
| ssPv4(X0)
| ssPv1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f439,f325]) ).
fof(f450,plain,
! [X0,X1,X2] :
( ssPv2(X0)
| ssPv1(X2)
| ssPv2(X1)
| ssPv4(skf1(X0))
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f128,f52]) ).
fof(f451,plain,
! [X0,X1] :
( ssPv2(X0)
| ssPv1(X1)
| ssPv2(skf1(X0))
| ssPv4(skf1(X0))
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f450,f52]) ).
fof(f453,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ssPv1(X2)
| ssPv3(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ~ ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f132,f52]) ).
fof(f455,plain,
! [X0,X1,X2] :
( ssPv2(X0)
| ssPv3(X2)
| ssPv4(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ~ ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f136,f52]) ).
fof(f456,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ssPv3(X2)
| ssPv4(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f140,f52]) ).
fof(f458,plain,
! [X0,X1,X2,X3] :
( ssPv4(X0)
| ssPv1(X3)
| ~ ssRr(X0,X3)
| ~ ssPv1(X2)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f144,f142]) ).
fof(f459,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ssPv1(X2)
| ~ ssRr(X0,X2)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f458,f52]) ).
fof(f460,plain,
! [X0,X1,X2] :
( ssPv1(X2)
| ssPv4(X1)
| ~ ssPv4(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f146,f52]) ).
fof(f461,plain,
! [X0,X1,X2] :
( ssPv3(X2)
| ssPv4(X1)
| ~ ssPv4(X0)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1)
| ~ ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f148,f52]) ).
fof(f462,plain,
! [X0,X1,X2,X3] :
( ssPv4(X0)
| ssPv2(X3)
| ~ ssRr(X0,X3)
| ~ ssPv2(X2)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f150,f279]) ).
fof(f463,plain,
! [X0,X1,X2] :
( ssPv4(X0)
| ssPv2(X2)
| ~ ssRr(X0,X2)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(resolution,[status(thm)],[f462,f52]) ).
fof(f464,plain,
! [X0,X1] :
( ssPv4(X0)
| ssPv1(X1)
| ssPv3(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f453,f52]) ).
fof(f466,plain,
! [X0,X1] :
( ssPv2(X0)
| ssPv3(X1)
| ssPv4(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f455,f52]) ).
fof(f468,plain,
! [X0,X1] :
( ssPv4(X0)
| ssPv1(X1)
| ~ ssRr(X0,X1)
| ~ ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f459,f52]) ).
fof(f470,plain,
! [X0,X1] :
( ssPv4(X0)
| ssPv2(X1)
| ~ ssRr(X0,X1)
| ~ ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f463,f52]) ).
fof(f471,plain,
! [X0,X1] :
( ssPv4(X0)
| ssPv3(X1)
| ssPv4(skf1(X0))
| ~ ssRr(X0,X1)
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f456,f52]) ).
fof(f473,plain,
! [X0] :
( ssPv4(X0)
| ssPv1(skf1(X0))
| ssPv3(skf1(X0))
| ~ ssPv4(skf1(X0)) ),
inference(resolution,[status(thm)],[f464,f52]) ).
fof(f474,plain,
! [X0] :
( ssPv4(X0)
| ssPv1(skf1(X0))
| ssPv3(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f473,f328]) ).
fof(f475,plain,
! [X0] :
( ssPv4(X0)
| ssPv2(X0)
| ssPv3(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f242,f474]) ).
fof(f476,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv3(skf1(X0))
| ~ ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f289,f474]) ).
fof(f485,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ~ ssPv4(skf1(X0))
| ssPv4(X0)
| ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f474,f181]) ).
fof(f488,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ssPv4(X0)
| ssPv1(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f485,f317]) ).
fof(f490,plain,
! [X0] :
( ssPv2(X0)
| ssPv3(skf1(X0))
| ~ ssPv3(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f181,f475]) ).
fof(f492,plain,
! [X0] :
( ssPv3(skf1(skf1(X0)))
| ssPv2(X0)
| ssPv2(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f267,f475]) ).
fof(f495,plain,
! [X0] :
( ~ ssPv3(X0)
| ~ ssPv1(X0)
| ~ ssPv1(skf1(X0))
| ssPv4(X0)
| ssPv2(X0) ),
inference(resolution,[status(thm)],[f475,f164]) ).
fof(f503,plain,
! [X0] :
( ~ ssPv3(X0)
| ~ ssPv1(skf1(X0))
| ssPv4(X0)
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f495,f317]) ).
fof(f504,plain,
! [X0] :
( ssPv3(skf1(X0))
| ~ ssPv3(X0)
| ~ ssPv2(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f156,f490]) ).
fof(f517,plain,
! [X0] :
( ssPv3(skf1(X0))
| ~ ssPv3(X0)
| ~ ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f297,f504]) ).
fof(f520,plain,
! [X0,X1] :
( ~ ssPv3(X0)
| ~ ssPv1(X0)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f162,f517]) ).
fof(f521,plain,
! [X0] :
( ~ ssPv3(X0)
| ~ ssPv1(X0)
| ~ ssPv1(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f164,f517]) ).
fof(f522,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv4(X0)
| ssPv1(X0)
| ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv1(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f517,f437]) ).
fof(f527,plain,
! [X0] :
( ssPv4(X0)
| ssPv2(X0)
| ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv1(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f517,f362]) ).
fof(f534,plain,
! [X0,X1] :
( ssPv1(X1)
| ~ ssPv3(X0)
| ~ ssRr(X0,X1)
| ~ ssPv1(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f307,f521]) ).
fof(f536,plain,
! [X0,X1,X2] :
( ssPv1(X2)
| ~ ssPv3(X0)
| ~ ssRr(X0,X2)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f112,f520]) ).
fof(f540,plain,
! [X0] :
( ssPv2(X0)
| ssPv3(skf1(X0))
| ~ ssPv1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f304,f476]) ).
fof(f544,plain,
! [X0] :
( ssPv3(skf1(X0))
| ssPv4(skf1(skf1(X0)))
| ~ ssPv4(skf1(X0))
| ssPv2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f257,f540]) ).
fof(f550,plain,
! [X0] :
( ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv1(skf1(skf1(X0)))
| ssPv2(X0)
| ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f492,f517]) ).
fof(f559,plain,
! [X0,X1] :
( ssPv1(X1)
| ssPv4(skf1(X0))
| ~ ssPv4(X0)
| ~ ssRr(X0,X1)
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f460,f52]) ).
fof(f560,plain,
! [X0,X1] :
( ssPv3(X1)
| ssPv4(skf1(X0))
| ~ ssPv4(X0)
| ~ ssRr(X0,X1)
| ~ ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f461,f52]) ).
fof(f561,plain,
! [X0] :
( ssPv2(X0)
| ssPv3(skf1(X0))
| ssPv4(skf1(X0))
| ~ ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f466,f52]) ).
fof(f564,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ssPv4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f488,f540]) ).
fof(f567,plain,
! [X0] :
( ssPv3(skf1(X0))
| ~ ssPv4(skf1(X0))
| ~ ssPv4(skf1(skf1(X0)))
| ssPv2(skf1(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f564,f160]) ).
fof(f568,plain,
! [X0] :
( ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv1(skf1(skf1(X0)))
| ssPv2(skf1(X0))
| ssPv4(X0) ),
inference(resolution,[status(thm)],[f564,f517]) ).
fof(f574,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv4(skf1(X0))
| ~ ssPv4(X0)
| ~ ssPv3(skf1(X0)) ),
inference(resolution,[status(thm)],[f559,f52]) ).
fof(f575,plain,
! [X0] :
( ssPv1(skf1(X0))
| ssPv4(skf1(X0))
| ~ ssPv3(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f574,f328]) ).
fof(f576,plain,
! [X0] :
( ~ ssPv3(X0)
| ssPv4(skf1(X0))
| ssPv1(skf1(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[f398,f575]) ).
fof(f580,plain,
! [X0] :
( ssPv2(X0)
| ssPv1(X0)
| ssPv1(skf1(skf1(X0)))
| ssPv1(skf1(skf1(X0)))
| ssPv4(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f575,f285]) ).
fof(f586,plain,
! [X0] :
( ssPv2(X0)
| ssPv1(X0)
| ssPv1(skf1(skf1(X0)))
| ssPv4(skf1(skf1(X0))) ),
inference(duplicate_literals_removal,[status(thm)],[f580]) ).
fof(f597,plain,
! [X0] :
( ssPv3(skf1(X0))
| ssPv4(skf1(X0))
| ~ ssPv4(X0)
| ~ ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f560,f52]) ).
fof(f602,plain,
! [X0] :
( ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv1(X0)
| ssPv1(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f586,f186]) ).
fof(f603,plain,
! [X0] :
( ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ssPv2(X0)
| ssPv1(skf1(skf1(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[f602,f540]) ).
fof(f608,plain,
! [X0] :
( ssPv3(skf1(X0))
| ssPv1(skf1(X0))
| ssPv1(skf1(skf1(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[f603,f274]) ).
fof(f610,plain,
! [X0] :
( ssPv3(skf1(skf1(X0)))
| ssPv4(skf1(skf1(X0)))
| ~ ssPv4(skf1(X0))
| ssPv3(skf1(X0))
| ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f608,f597]) ).
fof(f611,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ssPv4(skf1(skf1(X0)))
| ssPv3(skf1(X0))
| ssPv1(skf1(X0)) ),
inference(resolution,[status(thm)],[f608,f561]) ).
fof(f618,plain,
! [X0] :
( ssPv3(skf1(skf1(X0)))
| ~ ssPv4(skf1(X0))
| ssPv3(skf1(X0))
| ssPv1(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f610,f305]) ).
fof(f619,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ssPv4(skf1(skf1(X0)))
| ssPv3(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f611,f540]) ).
fof(f730,plain,
! [X0] :
( ssPv2(skf1(X0))
| ssPv3(skf1(skf1(X0)))
| ssPv4(skf1(skf1(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[f619,f490]) ).
fof(f731,plain,
! [X0] :
( ssPv1(skf1(skf1(X0)))
| ssPv4(skf1(skf1(X0)))
| ssPv2(skf1(X0))
| ssPv4(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f730,f575]) ).
fof(f736,plain,
! [X0] :
( ssPv3(skf1(skf1(skf1(X0))))
| ~ ssPv1(skf1(skf1(X0)))
| ssPv2(skf1(X0))
| ssPv4(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f730,f517]) ).
fof(f738,plain,
! [X0] :
( ssPv1(skf1(skf1(X0)))
| ssPv2(skf1(X0))
| ssPv4(skf1(skf1(X0))) ),
inference(duplicate_literals_removal,[status(thm)],[f731]) ).
fof(f741,plain,
! [X0] :
( ssPv3(skf1(skf1(X0)))
| ssPv4(skf1(skf1(skf1(X0))))
| ssPv2(skf1(X0))
| ssPv1(skf1(skf1(X0)))
| ssPv2(skf1(X0)) ),
inference(resolution,[status(thm)],[f738,f544]) ).
fof(f748,plain,
! [X0] :
( ssPv3(skf1(skf1(X0)))
| ssPv4(skf1(skf1(skf1(X0))))
| ssPv1(skf1(skf1(X0)))
| ssPv2(skf1(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f741]) ).
fof(f749,plain,
! [X0] :
( ssPv3(skf1(skf1(X0)))
| ssPv4(skf1(skf1(skf1(X0))))
| ssPv1(skf1(skf1(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[f748,f274]) ).
fof(f764,plain,
! [X0] :
( ssPv3(skf1(skf1(X0)))
| ssPv1(skf1(skf1(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[f749,f186]) ).
fof(f765,plain,
! [X0] :
( ssPv1(skf1(skf1(X0)))
| ssPv4(skf1(skf1(X0)))
| ssPv1(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f764,f575]) ).
fof(f768,plain,
! [X0] :
( ssPv3(skf1(X0))
| ~ ssPv4(skf1(X0))
| ~ ssPv4(skf1(skf1(X0)))
| ssPv1(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f764,f160]) ).
fof(f771,plain,
! [X0] :
( ssPv2(skf1(skf1(X0)))
| ssPv3(skf1(skf1(skf1(X0))))
| ssPv1(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f764,f490]) ).
fof(f772,plain,
! [X0] :
( ssPv4(skf1(skf1(X0)))
| ssPv1(skf1(skf1(X0))) ),
inference(duplicate_literals_removal,[status(thm)],[f765]) ).
fof(f773,plain,
! [X0] :
( ssPv2(skf1(skf1(X0)))
| ssPv3(skf1(skf1(skf1(X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f771,f540]) ).
fof(f785,plain,
! [X0] :
( ssPv3(skf1(skf1(X0)))
| ~ ssPv4(skf1(skf1(X0)))
| ~ ssPv4(skf1(skf1(skf1(X0))))
| ssPv2(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f773,f160]) ).
fof(f787,plain,
! [X0] :
( ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv1(skf1(skf1(skf1(X0))))
| ssPv2(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f773,f517]) ).
fof(f792,plain,
! [X0] :
( ssPv3(skf1(X0))
| ~ ssPv4(skf1(X0))
| ssPv1(skf1(skf1(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[f768,f772]) ).
fof(f808,plain,
! [X0] :
( ssPv3(skf1(X0))
| ssPv1(skf1(skf1(X0)))
| ssPv2(skf1(skf1(X0)))
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f255,f540]) ).
fof(f818,plain,
! [X0] :
( ssPv2(skf1(skf1(X0)))
| ~ ssPv1(skf1(skf1(X0)))
| ssPv4(X0)
| ssPv2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f364,f475]) ).
fof(f828,plain,
! [X0] :
( ~ ssPv1(skf1(X0))
| ssPv4(skf1(skf1(X0)))
| ssPv2(X0)
| ssPv2(skf1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f418,f772]) ).
fof(f837,plain,
! [X0] :
( ssPv3(skf1(skf1(skf1(X0))))
| ssPv2(skf1(X0))
| ssPv4(skf1(skf1(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[f736,f772]) ).
fof(f840,plain,
! [X0] :
( ssPv2(skf1(skf1(skf1(X0))))
| ~ ssPv3(skf1(skf1(X0)))
| ~ ssPv1(skf1(skf1(skf1(X0))))
| ssPv2(skf1(X0))
| ssPv4(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f837,f167]) ).
fof(f843,plain,
! [X0] :
( ssPv3(skf1(skf1(skf1(skf1(X0)))))
| ~ ssPv1(skf1(skf1(skf1(X0))))
| ssPv2(skf1(X0))
| ssPv4(skf1(skf1(X0))) ),
inference(resolution,[status(thm)],[f837,f517]) ).
fof(f846,plain,
! [X0] :
( ssPv2(skf1(skf1(skf1(X0))))
| ~ ssPv1(skf1(skf1(skf1(X0))))
| ssPv2(skf1(X0))
| ssPv4(skf1(skf1(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[f840,f730]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN757-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n010.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 11:15:40 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 1.05/0.65 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 1.05/0.65 % SZS output start Saturation for theBenchmark
% See solution above
% 1.05/0.68 % Elapsed time: 0.323308 seconds
% 1.05/0.68 % CPU time: 2.237020 seconds
% 1.05/0.68 % Total memory used: 32.174 MB
% 1.05/0.68 % Net memory used: 27.529 MB
%------------------------------------------------------------------------------