%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN798-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 03:20:33 PM UTC 2026
% Result : Satisfiable 0.08s 0.41s
% Output : Saturation 0.08s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [U] : ssRr(skf3(U),U),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [U] : ssRr(U,skf2(U)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [U,V,W] :
( ssPv3(U)
| ~ ssPv4(W)
| ~ ssPv3(W)
| ~ ssPv1(W)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [U,V,W] :
( ssPv2(W)
| ~ ssPv4(W)
| ~ ssPv3(W)
| ~ ssRr(V,W)
| ~ ssPv3(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [U,V,W,X] :
( ssPv3(W)
| ssPv1(X)
| ssPv1(V)
| ~ ssPv4(W)
| ~ ssRr(W,X)
| ~ ssRr(W,U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [U,V,W,X] :
( ssPv4(V)
| ssPv3(V)
| ssPv4(X)
| ~ ssRr(V,W)
| ~ ssRr(W,X)
| ~ ssPv4(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [U,V,W,X] :
( ssPv4(V)
| ssPv1(V)
| ssPv3(X)
| ~ ssRr(V,W)
| ~ ssRr(W,X)
| ~ ssPv1(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [U,V,W,X] :
( ssPv3(W)
| ssPv3(V)
| ~ ssPv4(W)
| ~ ssPv3(X)
| ~ ssRr(W,X)
| ~ ssRr(W,U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [U,V,W,X] :
( ssPv3(X)
| ssPv2(U)
| ~ ssPv4(W)
| ~ ssPv3(W)
| ~ ssRr(X,W)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [U,V,W,X] :
( ssPv3(W)
| ssPv2(U)
| ~ ssPv1(W)
| ~ ssPv2(X)
| ~ ssRr(X,W)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [U,V,W,X] :
( ssPv4(W)
| ssPv1(X)
| ~ ssPv3(W)
| ~ ssRr(W,X)
| ~ ssRr(W,U)
| ~ ssPv2(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [U,V,W,X] :
( ssPv1(V)
| ssPv1(U)
| ~ ssPv4(V)
| ~ ssRr(V,W)
| ~ ssPv1(X)
| ~ ssRr(W,X)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
! [U,V,W,X] :
( ssPv4(W)
| ssPv4(U)
| ~ ssPv2(W)
| ~ ssPv1(X)
| ~ ssRr(X,W)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [U,V,W,X] :
( ssPv2(W)
| ~ ssPv1(W)
| ~ ssPv4(X)
| ~ ssRr(X,W)
| ~ ssRr(V,W)
| ~ ssPv4(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [U,V,W,X] :
( ssPv4(W)
| ~ ssPv2(W)
| ~ ssPv1(X)
| ~ ssRr(W,X)
| ~ ssRr(V,W)
| ~ ssPv3(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [U,V,W,X] :
( ssPv4(W)
| ~ ssPv1(W)
| ~ ssPv4(X)
| ~ ssRr(X,W)
| ~ ssRr(V,W)
| ~ ssPv4(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [U,V,W,X] :
( ~ ssPv4(W)
| ~ ssPv2(W)
| ~ ssPv3(X)
| ~ ssRr(X,W)
| ~ ssRr(V,W)
| ~ ssPv2(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
! [U,V,W,X,Y] :
( ssPv3(V)
| ssPv3(Y)
| ssPv3(U)
| ~ ssRr(V,Y)
| ~ ssRr(V,W)
| ~ ssPv3(X)
| ~ ssRr(W,X)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
! [U,V,W,X,Y] :
( ssPv3(W)
| ssPv1(Y)
| ssPv4(X)
| ~ ssRr(W,Y)
| ~ ssRr(W,X)
| ~ ssRr(W,U)
| ~ ssPv1(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [U,V,W,X,Y] :
( ssPv3(V)
| ssPv2(Y)
| ssPv3(W)
| ~ ssRr(V,X)
| ~ ssRr(X,Y)
| ~ ssRr(W,V)
| ~ ssPv3(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
! [U,V,W,X,Y] :
( ssPv1(Y)
| ssPv3(V)
| ~ ssPv3(W)
| ~ ssPv1(W)
| ~ ssRr(W,X)
| ~ ssRr(X,Y)
| ~ ssRr(W,U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [U,V,W,X,Y] :
( ssPv2(W)
| ssPv4(Y)
| ~ ssPv1(W)
| ~ ssRr(W,X)
| ~ ssRr(X,Y)
| ~ ssRr(V,W)
| ~ ssPv4(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [U,V,W,X,Y] :
( ssPv4(W)
| ssPv2(W)
| ~ ssRr(W,X)
| ~ ssPv4(Y)
| ~ ssRr(X,Y)
| ~ ssRr(V,W)
| ~ ssPv1(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
! [U,V,W,X,Y] :
( ssPv3(W)
| ssPv2(W)
| ~ ssRr(W,X)
| ~ ssPv1(Y)
| ~ ssRr(X,Y)
| ~ ssRr(W,U)
| ~ ssPv3(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
! [U,V,W,X,Y] :
( ssPv4(Y)
| ssPv1(U)
| ~ ssPv4(W)
| ~ ssPv2(W)
| ~ ssRr(W,X)
| ~ ssRr(X,Y)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
! [U,V,W,X,Y] :
( ssPv1(W)
| ssPv2(Y)
| ~ ssPv4(W)
| ~ ssRr(W,X)
| ~ ssRr(X,Y)
| ~ ssRr(W,U)
| ~ ssPv1(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
! [U,V,W,X,Y] :
( ssPv1(W)
| ssPv2(X)
| ~ ssPv2(W)
| ~ ssRr(Y,W)
| ~ ssRr(X,Y)
| ~ ssRr(V,W)
| ~ ssPv4(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
! [U,V,W,X,Y] :
( ssPv2(V)
| ssPv1(W)
| ~ ssRr(V,X)
| ~ ssPv4(Y)
| ~ ssRr(X,Y)
| ~ ssRr(W,V)
| ~ ssPv3(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
! [U,V,W,X,Y] :
( ssPv3(W)
| ~ ssPv1(W)
| ~ ssRr(W,X)
| ~ ssPv2(Y)
| ~ ssRr(X,Y)
| ~ ssRr(V,W)
| ~ ssPv1(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
! [U,V,W,X,Y] :
( ssPv1(V)
| ~ ssPv3(Y)
| ~ ssRr(V,Y)
| ~ ssRr(V,W)
| ~ ssPv2(X)
| ~ ssRr(W,X)
| ~ ssPv1(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
! [U,V,W,X,Y,Z] :
( ssPv2(W)
| ssPv1(X)
| ssPv4(U)
| ~ ssPv2(Z)
| ~ ssRr(W,Z)
| ~ ssRr(Y,W)
| ~ ssRr(X,Y)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
! [U,V,W,X,Y,Z] :
( ssPv2(W)
| ssPv4(Z)
| ssPv1(X)
| ~ ssRr(Z,W)
| ~ ssRr(Y,W)
| ~ ssRr(X,Y)
| ~ ssRr(V,W)
| ~ ssPv1(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
! [U,V,W,X,Y,Z] :
( ssPv1(Z)
| ssPv1(X)
| ~ ssPv1(W)
| ~ ssRr(W,Y)
| ~ ssRr(Y,Z)
| ~ ssRr(X,W)
| ~ ssRr(V,W)
| ~ ssPv4(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
! [U,V,W,X,Y,Z] :
( ssPv2(X)
| ssPv3(U)
| ~ ssPv4(W)
| ~ ssPv4(Z)
| ~ ssRr(Z,W)
| ~ ssRr(Y,W)
| ~ ssRr(X,Y)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
! [U,V,W,X,Y,Z] :
( ssPv1(W)
| ssPv1(X)
| ~ ssPv4(Z)
| ~ ssRr(W,Z)
| ~ ssRr(Y,W)
| ~ ssRr(X,Y)
| ~ ssRr(V,W)
| ~ ssPv2(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
! [U,V,W,X,Y,Z] :
( ssPv1(W)
| ssPv4(X)
| ~ ssPv3(Z)
| ~ ssRr(W,Z)
| ~ ssRr(Y,W)
| ~ ssRr(X,Y)
| ~ ssRr(V,W)
| ~ ssPv3(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
! [U,V,W,X,Y,Z] :
( ssPv4(W)
| ssPv4(Y)
| ~ ssPv3(Z)
| ~ ssRr(W,Z)
| ~ ssRr(W,X)
| ~ ssRr(X,Y)
| ~ ssRr(W,U)
| ~ ssPv3(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
! [U,V,W,X,Y,Z] :
( ssPv2(W)
| ssPv2(Y)
| ~ ssPv4(Z)
| ~ ssRr(W,Z)
| ~ ssRr(W,X)
| ~ ssRr(X,Y)
| ~ ssRr(V,W)
| ~ ssPv4(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
! [U,V,W,X,Y,Z] :
( ssPv3(W)
| ssPv2(X)
| ~ ssPv4(Z)
| ~ ssRr(Z,W)
| ~ ssRr(Y,W)
| ~ ssRr(X,Y)
| ~ ssRr(V,W)
| ~ ssPv2(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
! [U,V,W,X,Y,Z] :
( ssPv3(Z)
| ssPv1(U)
| ~ ssPv2(W)
| ~ ssRr(W,Y)
| ~ ssRr(Y,Z)
| ~ ssPv3(X)
| ~ ssRr(X,W)
| ~ ssRr(V,W)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
! [U,V,W,X,Y,Z] :
( ssPv3(W)
| ssPv1(Z)
| ~ ssRr(W,Y)
| ~ ssRr(Y,Z)
| ~ ssPv1(X)
| ~ ssRr(X,W)
| ~ ssRr(V,W)
| ~ ssPv1(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
! [U,V,W,X,Y,Z] :
( ssPv1(X)
| ~ ssPv2(W)
| ~ ssPv2(Z)
| ~ ssRr(W,Z)
| ~ ssRr(Y,W)
| ~ ssRr(X,Y)
| ~ ssRr(V,W)
| ~ ssPv2(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
! [U,V,W,X,Y,Z] :
( ssPv1(Z)
| ~ ssPv2(W)
| ~ ssRr(W,Z)
| ~ ssRr(W,X)
| ~ ssPv2(Y)
| ~ ssRr(X,Y)
| ~ ssRr(V,W)
| ~ ssPv4(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
! [U,V,W,X,Y,Z] :
( ssPv4(X)
| ~ ssPv3(W)
| ~ ssPv2(Z)
| ~ ssRr(W,Z)
| ~ ssRr(Y,W)
| ~ ssRr(X,Y)
| ~ ssRr(V,W)
| ~ ssPv1(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
! [U,V,W,X,Y,Z] :
( ~ ssPv4(W)
| ~ ssPv4(Z)
| ~ ssRr(Z,W)
| ~ ssRr(Y,W)
| ~ ssPv1(X)
| ~ ssRr(X,Y)
| ~ ssRr(V,W)
| ~ ssPv2(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
! [U,V,W,X,Y,Z,X1] :
( ssPv1(W)
| ssPv2(Z)
| ssPv3(X)
| ~ ssRr(X1,W)
| ~ ssRr(Z,X1)
| ~ ssRr(Y,W)
| ~ ssRr(X,Y)
| ~ ssRr(V,W)
| ~ ssPv1(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
! [U,V,W,X,Y,Z,X1] :
( ssPv3(W)
| ssPv3(X1)
| ssPv2(X)
| ~ ssRr(W,Z)
| ~ ssRr(Z,X1)
| ~ ssRr(Y,W)
| ~ ssRr(X,Y)
| ~ ssRr(V,W)
| ~ ssPv3(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
! [U,V,W,X,Y,Z,X1] :
( ssPv4(W)
| ssPv2(X1)
| ssPv1(X)
| ~ ssRr(W,Z)
| ~ ssRr(Z,X1)
| ~ ssRr(Y,W)
| ~ ssRr(X,Y)
| ~ ssRr(V,W)
| ~ ssPv3(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
! [U,V,W,X,Y,Z,X1] :
( ssPv4(W)
| ssPv2(X1)
| ssPv3(Y)
| ~ ssRr(W,Z)
| ~ ssRr(Z,X1)
| ~ ssRr(W,X)
| ~ ssRr(X,Y)
| ~ ssRr(W,U)
| ~ ssPv3(V)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
! [U,V,W,X,Y,Z,X1] :
( ssPv2(X1)
| ssPv3(Y)
| ~ ssPv3(W)
| ~ ssRr(W,Z)
| ~ ssRr(Z,X1)
| ~ ssRr(W,X)
| ~ ssRr(X,Y)
| ~ ssRr(V,W)
| ~ ssPv3(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
! [U,V,W,X,Y,Z,X1] :
( ssPv2(W)
| ssPv1(X)
| ~ ssRr(W,Z)
| ~ ssPv3(X1)
| ~ ssRr(Z,X1)
| ~ ssRr(Y,W)
| ~ ssRr(X,Y)
| ~ ssRr(V,W)
| ~ ssPv1(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
! [U,V,W,X,Y,Z,X1] :
( ssPv2(X1)
| ~ ssPv4(W)
| ~ ssRr(W,Z)
| ~ ssRr(Z,X1)
| ~ ssRr(W,X)
| ~ ssPv3(Y)
| ~ ssRr(X,Y)
| ~ ssRr(V,W)
| ~ ssPv1(U)
| ~ ssRr(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,plain,
! [X0] : ssRr(skf3(X0),X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f54,plain,
! [X0] : ssRr(X0,skf2(X0)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f55,plain,
! [U] :
( ssPv3(U)
| ! [W] :
( ~ ssPv4(W)
| ~ ssPv3(W)
| ~ ssPv1(W)
| ! [V] :
( ~ ssRr(V,W)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ssPv3(X0)
| ~ ssPv4(X2)
| ~ ssPv3(X2)
| ~ ssPv1(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f57,plain,
! [W] :
( ssPv2(W)
| ~ ssPv4(W)
| ~ ssPv3(W)
| ! [V] :
( ~ ssRr(V,W)
| ! [U] :
( ~ ssPv3(U)
| ~ ssRr(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ssPv2(X2)
| ~ ssPv4(X2)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2)
| ~ ssPv3(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f59,plain,
! [W] :
( ssPv3(W)
| ! [X] :
( ssPv1(X)
| ! [V] :
( ssPv1(V)
| ~ ssPv4(W)
| ~ ssRr(W,X)
| ! [U] :
( ~ ssRr(W,U)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f60,plain,
! [X0,X1,X2,X3] :
( ssPv3(X2)
| ssPv1(X3)
| ssPv1(X1)
| ~ ssPv4(X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f61,plain,
! [V] :
( ssPv4(V)
| ssPv3(V)
| ! [X] :
( ssPv4(X)
| ! [W] :
( ~ ssRr(V,W)
| ~ ssRr(W,X)
| ! [U] :
( ~ ssPv4(U)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f62,plain,
! [X0,X1,X2,X3] :
( ssPv4(X1)
| ssPv3(X1)
| ssPv4(X3)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f63,plain,
! [V] :
( ssPv4(V)
| ssPv1(V)
| ! [X] :
( ssPv3(X)
| ! [W] :
( ~ ssRr(V,W)
| ~ ssRr(W,X)
| ! [U] :
( ~ ssPv1(U)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f64,plain,
! [X0,X1,X2,X3] :
( ssPv4(X1)
| ssPv1(X1)
| ssPv3(X3)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f65,plain,
! [W] :
( ssPv3(W)
| ! [V] :
( ssPv3(V)
| ~ ssPv4(W)
| ! [X] :
( ~ ssPv3(X)
| ~ ssRr(W,X)
| ! [U] :
( ~ ssRr(W,U)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f66,plain,
! [X0,X1,X2,X3] :
( ssPv3(X2)
| ssPv3(X1)
| ~ ssPv4(X2)
| ~ ssPv3(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f67,plain,
! [X] :
( ssPv3(X)
| ! [U] :
( ssPv2(U)
| ! [W] :
( ~ ssPv4(W)
| ~ ssPv3(W)
| ~ ssRr(X,W)
| ! [V] :
( ~ ssRr(V,W)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f68,plain,
! [X0,X1,X2,X3] :
( ssPv3(X3)
| ssPv2(X0)
| ~ ssPv4(X2)
| ~ ssPv3(X2)
| ~ ssRr(X3,X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f69,plain,
! [W] :
( ssPv3(W)
| ! [U] :
( ssPv2(U)
| ~ ssPv1(W)
| ! [X] :
( ~ ssPv2(X)
| ~ ssRr(X,W)
| ! [V] :
( ~ ssRr(V,W)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f10]) ).
fof(f70,plain,
! [X0,X1,X2,X3] :
( ssPv3(X2)
| ssPv2(X0)
| ~ ssPv1(X2)
| ~ ssPv2(X3)
| ~ ssRr(X3,X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f71,plain,
! [W] :
( ssPv4(W)
| ! [X] :
( ssPv1(X)
| ~ ssPv3(W)
| ~ ssRr(W,X)
| ! [U] :
( ~ ssRr(W,U)
| ! [V] :
( ~ ssPv2(V)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f11]) ).
fof(f72,plain,
! [X0,X1,X2,X3] :
( ssPv4(X2)
| ssPv1(X3)
| ~ ssPv3(X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssPv2(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f73,plain,
! [V] :
( ssPv1(V)
| ! [U] :
( ssPv1(U)
| ~ ssPv4(V)
| ! [W] :
( ~ ssRr(V,W)
| ! [X] :
( ~ ssPv1(X)
| ~ ssRr(W,X)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f12]) ).
fof(f74,plain,
! [X0,X1,X2,X3] :
( ssPv1(X1)
| ssPv1(X0)
| ~ ssPv4(X1)
| ~ ssRr(X1,X2)
| ~ ssPv1(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f75,plain,
! [W] :
( ssPv4(W)
| ! [U] :
( ssPv4(U)
| ~ ssPv2(W)
| ! [X] :
( ~ ssPv1(X)
| ~ ssRr(X,W)
| ! [V] :
( ~ ssRr(V,W)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f13]) ).
fof(f76,plain,
! [X0,X1,X2,X3] :
( ssPv4(X2)
| ssPv4(X0)
| ~ ssPv2(X2)
| ~ ssPv1(X3)
| ~ ssRr(X3,X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f77,plain,
! [W] :
( ssPv2(W)
| ~ ssPv1(W)
| ! [X] :
( ~ ssPv4(X)
| ~ ssRr(X,W)
| ! [V] :
( ~ ssRr(V,W)
| ! [U] :
( ~ ssPv4(U)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f78,plain,
! [X0,X1,X2,X3] :
( ssPv2(X2)
| ~ ssPv1(X2)
| ~ ssPv4(X3)
| ~ ssRr(X3,X2)
| ~ ssRr(X1,X2)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f77]) ).
fof(f79,plain,
! [W] :
( ssPv4(W)
| ~ ssPv2(W)
| ! [X] :
( ~ ssPv1(X)
| ~ ssRr(W,X)
| ! [V] :
( ~ ssRr(V,W)
| ! [U] :
( ~ ssPv3(U)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f80,plain,
! [X0,X1,X2,X3] :
( ssPv4(X2)
| ~ ssPv2(X2)
| ~ ssPv1(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X1,X2)
| ~ ssPv3(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f81,plain,
! [W] :
( ssPv4(W)
| ~ ssPv1(W)
| ! [X] :
( ~ ssPv4(X)
| ~ ssRr(X,W)
| ! [V] :
( ~ ssRr(V,W)
| ! [U] :
( ~ ssPv4(U)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f16]) ).
fof(f82,plain,
! [X0,X1,X2,X3] :
( ssPv4(X2)
| ~ ssPv1(X2)
| ~ ssPv4(X3)
| ~ ssRr(X3,X2)
| ~ ssRr(X1,X2)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f83,plain,
! [W] :
( ~ ssPv4(W)
| ~ ssPv2(W)
| ! [X] :
( ~ ssPv3(X)
| ~ ssRr(X,W)
| ! [V] :
( ~ ssRr(V,W)
| ! [U] :
( ~ ssPv2(U)
| ~ ssRr(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f84,plain,
! [X0,X1,X2,X3] :
( ~ ssPv4(X2)
| ~ ssPv2(X2)
| ~ ssPv3(X3)
| ~ ssRr(X3,X2)
| ~ ssRr(X1,X2)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f85,plain,
! [V] :
( ssPv3(V)
| ! [Y] :
( ssPv3(Y)
| ! [U] :
( ssPv3(U)
| ~ ssRr(V,Y)
| ! [W] :
( ~ ssRr(V,W)
| ! [X] :
( ~ ssPv3(X)
| ~ ssRr(W,X)
| ~ ssRr(U,V) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f86,plain,
! [X0,X1,X2,X3,X4] :
( ssPv3(X1)
| ssPv3(X4)
| ssPv3(X0)
| ~ ssRr(X1,X4)
| ~ ssRr(X1,X2)
| ~ ssPv3(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f87,plain,
! [W] :
( ssPv3(W)
| ! [Y] :
( ssPv1(Y)
| ! [X] :
( ssPv4(X)
| ~ ssRr(W,Y)
| ~ ssRr(W,X)
| ! [U] :
( ~ ssRr(W,U)
| ! [V] :
( ~ ssPv1(V)
| ~ ssRr(U,V) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f19]) ).
fof(f88,plain,
! [X0,X1,X2,X3,X4] :
( ssPv3(X2)
| ssPv1(X4)
| ssPv4(X3)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X0)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f89,plain,
! [V] :
( ssPv3(V)
| ! [Y] :
( ssPv2(Y)
| ! [W] :
( ssPv3(W)
| ! [X] :
( ~ ssRr(V,X)
| ~ ssRr(X,Y)
| ~ ssRr(W,V)
| ! [U] :
( ~ ssPv3(U)
| ~ ssRr(U,V) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f90,plain,
! [X0,X1,X2,X3,X4] :
( ssPv3(X1)
| ssPv2(X4)
| ssPv3(X2)
| ~ ssRr(X1,X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X1)
| ~ ssPv3(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f91,plain,
! [Y] :
( ssPv1(Y)
| ! [V] :
( ssPv3(V)
| ! [W] :
( ~ ssPv3(W)
| ~ ssPv1(W)
| ! [X] :
( ~ ssRr(W,X)
| ~ ssRr(X,Y)
| ! [U] :
( ~ ssRr(W,U)
| ~ ssRr(U,V) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f92,plain,
! [X0,X1,X2,X3,X4] :
( ssPv1(X4)
| ssPv3(X1)
| ~ ssPv3(X2)
| ~ ssPv1(X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f93,plain,
! [W] :
( ssPv2(W)
| ! [Y] :
( ssPv4(Y)
| ~ ssPv1(W)
| ! [X] :
( ~ ssRr(W,X)
| ~ ssRr(X,Y)
| ! [V] :
( ~ ssRr(V,W)
| ! [U] :
( ~ ssPv4(U)
| ~ ssRr(U,V) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f94,plain,
! [X0,X1,X2,X3,X4] :
( ssPv2(X2)
| ssPv4(X4)
| ~ ssPv1(X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X1,X2)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f95,plain,
! [W] :
( ssPv4(W)
| ssPv2(W)
| ! [X] :
( ~ ssRr(W,X)
| ! [Y] :
( ~ ssPv4(Y)
| ~ ssRr(X,Y)
| ! [V] :
( ~ ssRr(V,W)
| ! [U] :
( ~ ssPv1(U)
| ~ ssRr(U,V) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f96,plain,
! [X0,X1,X2,X3,X4] :
( ssPv4(X2)
| ssPv2(X2)
| ~ ssRr(X2,X3)
| ~ ssPv4(X4)
| ~ ssRr(X3,X4)
| ~ ssRr(X1,X2)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f97,plain,
! [W] :
( ssPv3(W)
| ssPv2(W)
| ! [X] :
( ~ ssRr(W,X)
| ! [Y] :
( ~ ssPv1(Y)
| ~ ssRr(X,Y)
| ! [U] :
( ~ ssRr(W,U)
| ! [V] :
( ~ ssPv3(V)
| ~ ssRr(U,V) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f24]) ).
fof(f98,plain,
! [X0,X1,X2,X3,X4] :
( ssPv3(X2)
| ssPv2(X2)
| ~ ssRr(X2,X3)
| ~ ssPv1(X4)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f99,plain,
! [Y] :
( ssPv4(Y)
| ! [U] :
( ssPv1(U)
| ! [W] :
( ~ ssPv4(W)
| ~ ssPv2(W)
| ! [X] :
( ~ ssRr(W,X)
| ~ ssRr(X,Y)
| ! [V] :
( ~ ssRr(V,W)
| ~ ssRr(U,V) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f25]) ).
fof(f100,plain,
! [X0,X1,X2,X3,X4] :
( ssPv4(X4)
| ssPv1(X0)
| ~ ssPv4(X2)
| ~ ssPv2(X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f101,plain,
! [W] :
( ssPv1(W)
| ! [Y] :
( ssPv2(Y)
| ~ ssPv4(W)
| ! [X] :
( ~ ssRr(W,X)
| ~ ssRr(X,Y)
| ! [U] :
( ~ ssRr(W,U)
| ! [V] :
( ~ ssPv1(V)
| ~ ssRr(U,V) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f26]) ).
fof(f102,plain,
! [X0,X1,X2,X3,X4] :
( ssPv1(X2)
| ssPv2(X4)
| ~ ssPv4(X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssPv1(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f103,plain,
! [W] :
( ssPv1(W)
| ! [X] :
( ssPv2(X)
| ~ ssPv2(W)
| ! [Y] :
( ~ ssRr(Y,W)
| ~ ssRr(X,Y)
| ! [V] :
( ~ ssRr(V,W)
| ! [U] :
( ~ ssPv4(U)
| ~ ssRr(U,V) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f27]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4] :
( ssPv1(X2)
| ssPv2(X3)
| ~ ssPv2(X2)
| ~ ssRr(X4,X2)
| ~ ssRr(X3,X4)
| ~ ssRr(X1,X2)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f105,plain,
! [V] :
( ssPv2(V)
| ! [W] :
( ssPv1(W)
| ! [X] :
( ~ ssRr(V,X)
| ! [Y] :
( ~ ssPv4(Y)
| ~ ssRr(X,Y)
| ~ ssRr(W,V)
| ! [U] :
( ~ ssPv3(U)
| ~ ssRr(U,V) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f28]) ).
fof(f106,plain,
! [X0,X1,X2,X3,X4] :
( ssPv2(X1)
| ssPv1(X2)
| ~ ssRr(X1,X3)
| ~ ssPv4(X4)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X1)
| ~ ssPv3(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f107,plain,
! [W] :
( ssPv3(W)
| ~ ssPv1(W)
| ! [X] :
( ~ ssRr(W,X)
| ! [Y] :
( ~ ssPv2(Y)
| ~ ssRr(X,Y)
| ! [V] :
( ~ ssRr(V,W)
| ! [U] :
( ~ ssPv1(U)
| ~ ssRr(U,V) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f29]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4] :
( ssPv3(X2)
| ~ ssPv1(X2)
| ~ ssRr(X2,X3)
| ~ ssPv2(X4)
| ~ ssRr(X3,X4)
| ~ ssRr(X1,X2)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f109,plain,
! [V] :
( ssPv1(V)
| ! [Y] :
( ~ ssPv3(Y)
| ~ ssRr(V,Y)
| ! [W] :
( ~ ssRr(V,W)
| ! [X] :
( ~ ssPv2(X)
| ~ ssRr(W,X)
| ! [U] :
( ~ ssPv1(U)
| ~ ssRr(U,V) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f30]) ).
fof(f110,plain,
! [X0,X1,X2,X3,X4] :
( ssPv1(X1)
| ~ ssPv3(X4)
| ~ ssRr(X1,X4)
| ~ ssRr(X1,X2)
| ~ ssPv2(X3)
| ~ ssRr(X2,X3)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f109]) ).
fof(f111,plain,
! [W] :
( ssPv2(W)
| ! [X] :
( ssPv1(X)
| ! [U] :
( ssPv4(U)
| ! [Z] :
( ~ ssPv2(Z)
| ~ ssRr(W,Z)
| ! [Y] :
( ~ ssRr(Y,W)
| ~ ssRr(X,Y)
| ! [V] :
( ~ ssRr(V,W)
| ~ ssRr(U,V) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f31]) ).
fof(f112,plain,
! [X0,X1,X2,X3,X4,X5] :
( ssPv2(X2)
| ssPv1(X3)
| ssPv4(X0)
| ~ ssPv2(X5)
| ~ ssRr(X2,X5)
| ~ ssRr(X4,X2)
| ~ ssRr(X3,X4)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f111]) ).
fof(f113,plain,
! [W] :
( ssPv2(W)
| ! [Z] :
( ssPv4(Z)
| ! [X] :
( ssPv1(X)
| ~ ssRr(Z,W)
| ! [Y] :
( ~ ssRr(Y,W)
| ~ ssRr(X,Y)
| ! [V] :
( ~ ssRr(V,W)
| ! [U] :
( ~ ssPv1(U)
| ~ ssRr(U,V) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f32]) ).
fof(f114,plain,
! [X0,X1,X2,X3,X4,X5] :
( ssPv2(X2)
| ssPv4(X5)
| ssPv1(X3)
| ~ ssRr(X5,X2)
| ~ ssRr(X4,X2)
| ~ ssRr(X3,X4)
| ~ ssRr(X1,X2)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f115,plain,
! [Z] :
( ssPv1(Z)
| ! [X] :
( ssPv1(X)
| ! [W] :
( ~ ssPv1(W)
| ! [Y] :
( ~ ssRr(W,Y)
| ~ ssRr(Y,Z)
| ~ ssRr(X,W)
| ! [V] :
( ~ ssRr(V,W)
| ! [U] :
( ~ ssPv4(U)
| ~ ssRr(U,V) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f33]) ).
fof(f116,plain,
! [X0,X1,X2,X3,X4,X5] :
( ssPv1(X5)
| ssPv1(X3)
| ~ ssPv1(X2)
| ~ ssRr(X2,X4)
| ~ ssRr(X4,X5)
| ~ ssRr(X3,X2)
| ~ ssRr(X1,X2)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f117,plain,
! [X] :
( ssPv2(X)
| ! [U] :
( ssPv3(U)
| ! [W] :
( ~ ssPv4(W)
| ! [Z] :
( ~ ssPv4(Z)
| ~ ssRr(Z,W)
| ! [Y] :
( ~ ssRr(Y,W)
| ~ ssRr(X,Y)
| ! [V] :
( ~ ssRr(V,W)
| ~ ssRr(U,V) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f34]) ).
fof(f118,plain,
! [X0,X1,X2,X3,X4,X5] :
( ssPv2(X3)
| ssPv3(X0)
| ~ ssPv4(X2)
| ~ ssPv4(X5)
| ~ ssRr(X5,X2)
| ~ ssRr(X4,X2)
| ~ ssRr(X3,X4)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f119,plain,
! [W] :
( ssPv1(W)
| ! [X] :
( ssPv1(X)
| ! [Z] :
( ~ ssPv4(Z)
| ~ ssRr(W,Z)
| ! [Y] :
( ~ ssRr(Y,W)
| ~ ssRr(X,Y)
| ! [V] :
( ~ ssRr(V,W)
| ! [U] :
( ~ ssPv2(U)
| ~ ssRr(U,V) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f35]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4,X5] :
( ssPv1(X2)
| ssPv1(X3)
| ~ ssPv4(X5)
| ~ ssRr(X2,X5)
| ~ ssRr(X4,X2)
| ~ ssRr(X3,X4)
| ~ ssRr(X1,X2)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f119]) ).
fof(f121,plain,
! [W] :
( ssPv1(W)
| ! [X] :
( ssPv4(X)
| ! [Z] :
( ~ ssPv3(Z)
| ~ ssRr(W,Z)
| ! [Y] :
( ~ ssRr(Y,W)
| ~ ssRr(X,Y)
| ! [V] :
( ~ ssRr(V,W)
| ! [U] :
( ~ ssPv3(U)
| ~ ssRr(U,V) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f36]) ).
fof(f122,plain,
! [X0,X1,X2,X3,X4,X5] :
( ssPv1(X2)
| ssPv4(X3)
| ~ ssPv3(X5)
| ~ ssRr(X2,X5)
| ~ ssRr(X4,X2)
| ~ ssRr(X3,X4)
| ~ ssRr(X1,X2)
| ~ ssPv3(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f121]) ).
fof(f123,plain,
! [W] :
( ssPv4(W)
| ! [Y] :
( ssPv4(Y)
| ! [Z] :
( ~ ssPv3(Z)
| ~ ssRr(W,Z)
| ! [X] :
( ~ ssRr(W,X)
| ~ ssRr(X,Y)
| ! [U] :
( ~ ssRr(W,U)
| ! [V] :
( ~ ssPv3(V)
| ~ ssRr(U,V) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f37]) ).
fof(f124,plain,
! [X0,X1,X2,X3,X4,X5] :
( ssPv4(X2)
| ssPv4(X4)
| ~ ssPv3(X5)
| ~ ssRr(X2,X5)
| ~ ssRr(X2,X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f125,plain,
! [W] :
( ssPv2(W)
| ! [Y] :
( ssPv2(Y)
| ! [Z] :
( ~ ssPv4(Z)
| ~ ssRr(W,Z)
| ! [X] :
( ~ ssRr(W,X)
| ~ ssRr(X,Y)
| ! [V] :
( ~ ssRr(V,W)
| ! [U] :
( ~ ssPv4(U)
| ~ ssRr(U,V) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f38]) ).
fof(f126,plain,
! [X0,X1,X2,X3,X4,X5] :
( ssPv2(X2)
| ssPv2(X4)
| ~ ssPv4(X5)
| ~ ssRr(X2,X5)
| ~ ssRr(X2,X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X1,X2)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f125]) ).
fof(f127,plain,
! [W] :
( ssPv3(W)
| ! [X] :
( ssPv2(X)
| ! [Z] :
( ~ ssPv4(Z)
| ~ ssRr(Z,W)
| ! [Y] :
( ~ ssRr(Y,W)
| ~ ssRr(X,Y)
| ! [V] :
( ~ ssRr(V,W)
| ! [U] :
( ~ ssPv2(U)
| ~ ssRr(U,V) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f39]) ).
fof(f128,plain,
! [X0,X1,X2,X3,X4,X5] :
( ssPv3(X2)
| ssPv2(X3)
| ~ ssPv4(X5)
| ~ ssRr(X5,X2)
| ~ ssRr(X4,X2)
| ~ ssRr(X3,X4)
| ~ ssRr(X1,X2)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f129,plain,
! [Z] :
( ssPv3(Z)
| ! [U] :
( ssPv1(U)
| ! [W] :
( ~ ssPv2(W)
| ! [Y] :
( ~ ssRr(W,Y)
| ~ ssRr(Y,Z)
| ! [X] :
( ~ ssPv3(X)
| ~ ssRr(X,W)
| ! [V] :
( ~ ssRr(V,W)
| ~ ssRr(U,V) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f40]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4,X5] :
( ssPv3(X5)
| ssPv1(X0)
| ~ ssPv2(X2)
| ~ ssRr(X2,X4)
| ~ ssRr(X4,X5)
| ~ ssPv3(X3)
| ~ ssRr(X3,X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f131,plain,
! [W] :
( ssPv3(W)
| ! [Z] :
( ssPv1(Z)
| ! [Y] :
( ~ ssRr(W,Y)
| ~ ssRr(Y,Z)
| ! [X] :
( ~ ssPv1(X)
| ~ ssRr(X,W)
| ! [V] :
( ~ ssRr(V,W)
| ! [U] :
( ~ ssPv1(U)
| ~ ssRr(U,V) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f41]) ).
fof(f132,plain,
! [X0,X1,X2,X3,X4,X5] :
( ssPv3(X2)
| ssPv1(X5)
| ~ ssRr(X2,X4)
| ~ ssRr(X4,X5)
| ~ ssPv1(X3)
| ~ ssRr(X3,X2)
| ~ ssRr(X1,X2)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f131]) ).
fof(f133,plain,
! [X] :
( ssPv1(X)
| ! [W] :
( ~ ssPv2(W)
| ! [Z] :
( ~ ssPv2(Z)
| ~ ssRr(W,Z)
| ! [Y] :
( ~ ssRr(Y,W)
| ~ ssRr(X,Y)
| ! [V] :
( ~ ssRr(V,W)
| ! [U] :
( ~ ssPv2(U)
| ~ ssRr(U,V) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f42]) ).
fof(f134,plain,
! [X0,X1,X2,X3,X4,X5] :
( ssPv1(X3)
| ~ ssPv2(X2)
| ~ ssPv2(X5)
| ~ ssRr(X2,X5)
| ~ ssRr(X4,X2)
| ~ ssRr(X3,X4)
| ~ ssRr(X1,X2)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f135,plain,
! [Z] :
( ssPv1(Z)
| ! [W] :
( ~ ssPv2(W)
| ~ ssRr(W,Z)
| ! [X] :
( ~ ssRr(W,X)
| ! [Y] :
( ~ ssPv2(Y)
| ~ ssRr(X,Y)
| ! [V] :
( ~ ssRr(V,W)
| ! [U] :
( ~ ssPv4(U)
| ~ ssRr(U,V) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f43]) ).
fof(f136,plain,
! [X0,X1,X2,X3,X4,X5] :
( ssPv1(X5)
| ~ ssPv2(X2)
| ~ ssRr(X2,X5)
| ~ ssRr(X2,X3)
| ~ ssPv2(X4)
| ~ ssRr(X3,X4)
| ~ ssRr(X1,X2)
| ~ ssPv4(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f137,plain,
! [X] :
( ssPv4(X)
| ! [W] :
( ~ ssPv3(W)
| ! [Z] :
( ~ ssPv2(Z)
| ~ ssRr(W,Z)
| ! [Y] :
( ~ ssRr(Y,W)
| ~ ssRr(X,Y)
| ! [V] :
( ~ ssRr(V,W)
| ! [U] :
( ~ ssPv1(U)
| ~ ssRr(U,V) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f44]) ).
fof(f138,plain,
! [X0,X1,X2,X3,X4,X5] :
( ssPv4(X3)
| ~ ssPv3(X2)
| ~ ssPv2(X5)
| ~ ssRr(X2,X5)
| ~ ssRr(X4,X2)
| ~ ssRr(X3,X4)
| ~ ssRr(X1,X2)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f139,plain,
! [W] :
( ~ ssPv4(W)
| ! [Z] :
( ~ ssPv4(Z)
| ~ ssRr(Z,W)
| ! [Y] :
( ~ ssRr(Y,W)
| ! [X] :
( ~ ssPv1(X)
| ~ ssRr(X,Y)
| ! [V] :
( ~ ssRr(V,W)
| ! [U] :
( ~ ssPv2(U)
| ~ ssRr(U,V) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f45]) ).
fof(f140,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ ssPv4(X2)
| ~ ssPv4(X5)
| ~ ssRr(X5,X2)
| ~ ssRr(X4,X2)
| ~ ssPv1(X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X1,X2)
| ~ ssPv2(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f139]) ).
fof(f141,plain,
! [W] :
( ssPv1(W)
| ! [Z] :
( ssPv2(Z)
| ! [X] :
( ssPv3(X)
| ! [X1] :
( ~ ssRr(X1,W)
| ~ ssRr(Z,X1)
| ! [Y] :
( ~ ssRr(Y,W)
| ~ ssRr(X,Y)
| ! [V] :
( ~ ssRr(V,W)
| ! [U] :
( ~ ssPv1(U)
| ~ ssRr(U,V) ) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f46]) ).
fof(f142,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ssPv1(X2)
| ssPv2(X5)
| ssPv3(X3)
| ~ ssRr(X6,X2)
| ~ ssRr(X5,X6)
| ~ ssRr(X4,X2)
| ~ ssRr(X3,X4)
| ~ ssRr(X1,X2)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f143,plain,
! [W] :
( ssPv3(W)
| ! [X1] :
( ssPv3(X1)
| ! [X] :
( ssPv2(X)
| ! [Z] :
( ~ ssRr(W,Z)
| ~ ssRr(Z,X1)
| ! [Y] :
( ~ ssRr(Y,W)
| ~ ssRr(X,Y)
| ! [V] :
( ~ ssRr(V,W)
| ! [U] :
( ~ ssPv3(U)
| ~ ssRr(U,V) ) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f47]) ).
fof(f144,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ssPv3(X2)
| ssPv3(X6)
| ssPv2(X3)
| ~ ssRr(X2,X5)
| ~ ssRr(X5,X6)
| ~ ssRr(X4,X2)
| ~ ssRr(X3,X4)
| ~ ssRr(X1,X2)
| ~ ssPv3(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f145,plain,
! [W] :
( ssPv4(W)
| ! [X1] :
( ssPv2(X1)
| ! [X] :
( ssPv1(X)
| ! [Z] :
( ~ ssRr(W,Z)
| ~ ssRr(Z,X1)
| ! [Y] :
( ~ ssRr(Y,W)
| ~ ssRr(X,Y)
| ! [V] :
( ~ ssRr(V,W)
| ! [U] :
( ~ ssPv3(U)
| ~ ssRr(U,V) ) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f48]) ).
fof(f146,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ssPv4(X2)
| ssPv2(X6)
| ssPv1(X3)
| ~ ssRr(X2,X5)
| ~ ssRr(X5,X6)
| ~ ssRr(X4,X2)
| ~ ssRr(X3,X4)
| ~ ssRr(X1,X2)
| ~ ssPv3(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f145]) ).
fof(f147,plain,
! [W] :
( ssPv4(W)
| ! [X1] :
( ssPv2(X1)
| ! [Y] :
( ssPv3(Y)
| ! [Z] :
( ~ ssRr(W,Z)
| ~ ssRr(Z,X1)
| ! [X] :
( ~ ssRr(W,X)
| ~ ssRr(X,Y)
| ! [U] :
( ~ ssRr(W,U)
| ! [V] :
( ~ ssPv3(V)
| ~ ssRr(U,V) ) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f49]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ssPv4(X2)
| ssPv2(X6)
| ssPv3(X4)
| ~ ssRr(X2,X5)
| ~ ssRr(X5,X6)
| ~ ssRr(X2,X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X2,X0)
| ~ ssPv3(X1)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f147]) ).
fof(f149,plain,
! [X1] :
( ssPv2(X1)
| ! [Y] :
( ssPv3(Y)
| ! [W] :
( ~ ssPv3(W)
| ! [Z] :
( ~ ssRr(W,Z)
| ~ ssRr(Z,X1)
| ! [X] :
( ~ ssRr(W,X)
| ~ ssRr(X,Y)
| ! [V] :
( ~ ssRr(V,W)
| ! [U] :
( ~ ssPv3(U)
| ~ ssRr(U,V) ) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f50]) ).
fof(f150,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ssPv2(X6)
| ssPv3(X4)
| ~ ssPv3(X2)
| ~ ssRr(X2,X5)
| ~ ssRr(X5,X6)
| ~ ssRr(X2,X3)
| ~ ssRr(X3,X4)
| ~ ssRr(X1,X2)
| ~ ssPv3(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f151,plain,
! [W] :
( ssPv2(W)
| ! [X] :
( ssPv1(X)
| ! [Z] :
( ~ ssRr(W,Z)
| ! [X1] :
( ~ ssPv3(X1)
| ~ ssRr(Z,X1)
| ! [Y] :
( ~ ssRr(Y,W)
| ~ ssRr(X,Y)
| ! [V] :
( ~ ssRr(V,W)
| ! [U] :
( ~ ssPv1(U)
| ~ ssRr(U,V) ) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f51]) ).
fof(f152,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ssPv2(X2)
| ssPv1(X3)
| ~ ssRr(X2,X5)
| ~ ssPv3(X6)
| ~ ssRr(X5,X6)
| ~ ssRr(X4,X2)
| ~ ssRr(X3,X4)
| ~ ssRr(X1,X2)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f153,plain,
! [X1] :
( ssPv2(X1)
| ! [W] :
( ~ ssPv4(W)
| ! [Z] :
( ~ ssRr(W,Z)
| ~ ssRr(Z,X1)
| ! [X] :
( ~ ssRr(W,X)
| ! [Y] :
( ~ ssPv3(Y)
| ~ ssRr(X,Y)
| ! [V] :
( ~ ssRr(V,W)
| ! [U] :
( ~ ssPv1(U)
| ~ ssRr(U,V) ) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f52]) ).
fof(f154,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ssPv2(X6)
| ~ ssPv4(X2)
| ~ ssRr(X2,X5)
| ~ ssRr(X5,X6)
| ~ ssRr(X2,X3)
| ~ ssPv3(X4)
| ~ ssRr(X3,X4)
| ~ ssRr(X1,X2)
| ~ ssPv1(X0)
| ~ ssRr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f153]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN798-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n015.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 11:20:08 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.08/0.41 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.08/0.41 % SZS output start Saturation for theBenchmark
% See solution above
% 0.08/0.43 % Elapsed time: 0.055836 seconds
% 0.08/0.43 % CPU time: 0.177911 seconds
% 0.08/0.43 % Total memory used: 19.351 MB
% 0.08/0.43 % Net memory used: 19.122 MB
%------------------------------------------------------------------------------