%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN036-2 : TPTP v9.3.1. Bugfixed v1.2.0.
% 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 03:18:45 PM UTC 2026
% Result : Satisfiable 0.09s 0.38s
% Output : Saturation 0.09s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X,U,W,X1,U1,W1] :
( big_q(W1)
| ~ big_p(U1)
| big_q(f2(X1))
| big_q(X1)
| big_q(W)
| ~ big_q(U)
| big_p(f1(X))
| big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [X,U,W,X1] :
( ~ big_q(c7)
| big_p(c6)
| big_q(f2(X1))
| big_q(X1)
| big_q(W)
| ~ big_q(U)
| big_p(f1(X))
| big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X,U,W,X1,U1,W1] :
( big_q(W1)
| ~ big_p(U1)
| ~ big_q(f2(X1))
| ~ big_q(X1)
| big_q(W)
| ~ big_q(U)
| big_p(f1(X))
| big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X,U,W,X1] :
( ~ big_q(c7)
| big_p(c6)
| ~ big_q(f2(X1))
| ~ big_q(X1)
| big_q(W)
| ~ big_q(U)
| big_p(f1(X))
| big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X,U,W,Y1,X4] :
( big_q(X4)
| big_p(c9)
| big_q(Y1)
| ~ big_q(c8)
| big_q(W)
| ~ big_q(U)
| big_p(f1(X))
| big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X,U,W,Y1,X5] :
( ~ big_q(c10)
| ~ big_p(X5)
| big_q(Y1)
| ~ big_q(c8)
| big_q(W)
| ~ big_q(U)
| big_p(f1(X))
| big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [X,U,W,Y1,X4] :
( big_q(X4)
| big_p(c9)
| ~ big_q(Y1)
| big_q(c8)
| big_q(W)
| ~ big_q(U)
| big_p(f1(X))
| big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [X,U,W,Y1,X5] :
( ~ big_q(c10)
| ~ big_p(X5)
| ~ big_q(Y1)
| big_q(c8)
| big_q(W)
| ~ big_q(U)
| big_p(f1(X))
| big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [X,X1,U1,W1] :
( big_q(W1)
| ~ big_p(U1)
| big_q(f2(X1))
| big_q(X1)
| ~ big_q(c2)
| big_q(c1)
| big_p(f1(X))
| big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [X,X1] :
( ~ big_q(c7)
| big_p(c6)
| big_q(f2(X1))
| big_q(X1)
| ~ big_q(c2)
| big_q(c1)
| big_p(f1(X))
| big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [X,X1,U1,W1] :
( big_q(W1)
| ~ big_p(U1)
| ~ big_q(f2(X1))
| ~ big_q(X1)
| ~ big_q(c2)
| big_q(c1)
| big_p(f1(X))
| big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [X,X1] :
( ~ big_q(c7)
| big_p(c6)
| ~ big_q(f2(X1))
| ~ big_q(X1)
| ~ big_q(c2)
| big_q(c1)
| big_p(f1(X))
| big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
! [X,Y1,X4] :
( big_q(X4)
| big_p(c9)
| big_q(Y1)
| ~ big_q(c8)
| ~ big_q(c2)
| big_q(c1)
| big_p(f1(X))
| big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [X,Y1,X5] :
( ~ big_q(c10)
| ~ big_p(X5)
| big_q(Y1)
| ~ big_q(c8)
| ~ big_q(c2)
| big_q(c1)
| big_p(f1(X))
| big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [X,Y1,X5] :
( ~ big_q(c10)
| ~ big_p(X5)
| ~ big_q(Y1)
| big_q(c8)
| ~ big_q(c2)
| big_q(c1)
| big_p(f1(X))
| big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [X,U,W,X1,U1,W1] :
( big_q(W1)
| ~ big_p(U1)
| big_q(f2(X1))
| big_q(X1)
| big_q(W)
| ~ big_q(U)
| ~ big_p(f1(X))
| ~ big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
! [X,U,W,X1] :
( ~ big_q(c7)
| big_p(c6)
| big_q(f2(X1))
| big_q(X1)
| big_q(W)
| ~ big_q(U)
| ~ big_p(f1(X))
| ~ big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
! [X,U,W,X1,U1,W1] :
( big_q(W1)
| ~ big_p(U1)
| ~ big_q(f2(X1))
| ~ big_q(X1)
| big_q(W)
| ~ big_q(U)
| ~ big_p(f1(X))
| ~ big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [X,U,W,X1] :
( ~ big_q(c7)
| big_p(c6)
| ~ big_q(f2(X1))
| ~ big_q(X1)
| big_q(W)
| ~ big_q(U)
| ~ big_p(f1(X))
| ~ big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
! [X,U,W,Y1,X4] :
( big_q(X4)
| big_p(c9)
| big_q(Y1)
| ~ big_q(c8)
| big_q(W)
| ~ big_q(U)
| ~ big_p(f1(X))
| ~ big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [X,U,W,Y1,X5] :
( ~ big_q(c10)
| ~ big_p(X5)
| big_q(Y1)
| ~ big_q(c8)
| big_q(W)
| ~ big_q(U)
| ~ big_p(f1(X))
| ~ big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [X,U,W,Y1,X4] :
( big_q(X4)
| big_p(c9)
| ~ big_q(Y1)
| big_q(c8)
| big_q(W)
| ~ big_q(U)
| ~ big_p(f1(X))
| ~ big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
! [X,U,W,Y1,X5] :
( ~ big_q(c10)
| ~ big_p(X5)
| ~ big_q(Y1)
| big_q(c8)
| big_q(W)
| ~ big_q(U)
| ~ big_p(f1(X))
| ~ big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
! [X,X1,U1,W1] :
( big_q(W1)
| ~ big_p(U1)
| big_q(f2(X1))
| big_q(X1)
| ~ big_q(c2)
| big_q(c1)
| ~ big_p(f1(X))
| ~ big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
! [X,X1] :
( ~ big_q(c7)
| big_p(c6)
| big_q(f2(X1))
| big_q(X1)
| ~ big_q(c2)
| big_q(c1)
| ~ big_p(f1(X))
| ~ big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
! [X,X1,U1,W1] :
( big_q(W1)
| ~ big_p(U1)
| ~ big_q(f2(X1))
| ~ big_q(X1)
| ~ big_q(c2)
| big_q(c1)
| ~ big_p(f1(X))
| ~ big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
! [X,X1] :
( ~ big_q(c7)
| big_p(c6)
| ~ big_q(f2(X1))
| ~ big_q(X1)
| ~ big_q(c2)
| big_q(c1)
| ~ big_p(f1(X))
| ~ big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
! [X,Y1,X4] :
( big_q(X4)
| big_p(c9)
| big_q(Y1)
| ~ big_q(c8)
| ~ big_q(c2)
| big_q(c1)
| ~ big_p(f1(X))
| ~ big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
! [X,Y1,X5] :
( ~ big_q(c10)
| ~ big_p(X5)
| big_q(Y1)
| ~ big_q(c8)
| ~ big_q(c2)
| big_q(c1)
| ~ big_p(f1(X))
| ~ big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
! [X,Y1,X5] :
( ~ big_q(c10)
| ~ big_p(X5)
| ~ big_q(Y1)
| big_q(c8)
| ~ big_q(c2)
| big_q(c1)
| ~ big_p(f1(X))
| ~ big_p(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
! [Y,X2,X1,U1,W1] :
( big_q(W1)
| ~ big_p(U1)
| big_q(f2(X1))
| big_q(X1)
| big_q(X2)
| big_q(c4)
| big_p(Y)
| ~ big_p(c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
! [Y,X2,X1] :
( ~ big_q(c7)
| big_p(c6)
| big_q(f2(X1))
| big_q(X1)
| big_q(X2)
| big_q(c4)
| big_p(Y)
| ~ big_p(c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
! [Y,X2,X1,U1,W1] :
( big_q(W1)
| ~ big_p(U1)
| ~ big_q(f2(X1))
| ~ big_q(X1)
| big_q(X2)
| big_q(c4)
| big_p(Y)
| ~ big_p(c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
! [Y,X2,X1] :
( ~ big_q(c7)
| big_p(c6)
| ~ big_q(f2(X1))
| ~ big_q(X1)
| big_q(X2)
| big_q(c4)
| big_p(Y)
| ~ big_p(c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
! [Y,X2,Y1,X4] :
( big_q(X4)
| big_p(c9)
| big_q(Y1)
| ~ big_q(c8)
| big_q(X2)
| big_q(c4)
| big_p(Y)
| ~ big_p(c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
! [Y,X2,Y1,X5] :
( ~ big_q(c10)
| ~ big_p(X5)
| big_q(Y1)
| ~ big_q(c8)
| big_q(X2)
| big_q(c4)
| big_p(Y)
| ~ big_p(c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
! [Y,X2,Y1,X4] :
( big_q(X4)
| big_p(c9)
| ~ big_q(Y1)
| big_q(c8)
| big_q(X2)
| big_q(c4)
| big_p(Y)
| ~ big_p(c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
! [Y,X2,Y1,X5] :
( ~ big_q(c10)
| ~ big_p(X5)
| ~ big_q(Y1)
| big_q(c8)
| big_q(X2)
| big_q(c4)
| big_p(Y)
| ~ big_p(c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
! [Y,X3,X1,U1,W1] :
( big_q(W1)
| ~ big_p(U1)
| big_q(f2(X1))
| big_q(X1)
| ~ big_q(c5)
| ~ big_q(X3)
| big_p(Y)
| ~ big_p(c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
! [Y,X3,X1] :
( ~ big_q(c7)
| big_p(c6)
| big_q(f2(X1))
| big_q(X1)
| ~ big_q(c5)
| ~ big_q(X3)
| big_p(Y)
| ~ big_p(c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
! [Y,X3,X1,U1,W1] :
( big_q(W1)
| ~ big_p(U1)
| ~ big_q(f2(X1))
| ~ big_q(X1)
| ~ big_q(c5)
| ~ big_q(X3)
| big_p(Y)
| ~ big_p(c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
! [Y,X3,X1] :
( ~ big_q(c7)
| big_p(c6)
| ~ big_q(f2(X1))
| ~ big_q(X1)
| ~ big_q(c5)
| ~ big_q(X3)
| big_p(Y)
| ~ big_p(c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
! [Y,X3,Y1,X4] :
( big_q(X4)
| big_p(c9)
| big_q(Y1)
| ~ big_q(c8)
| ~ big_q(c5)
| ~ big_q(X3)
| big_p(Y)
| ~ big_p(c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
! [Y,X3,Y1,X5] :
( ~ big_q(c10)
| ~ big_p(X5)
| big_q(Y1)
| ~ big_q(c8)
| ~ big_q(c5)
| ~ big_q(X3)
| big_p(Y)
| ~ big_p(c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
! [Y,X3,Y1,X4] :
( big_q(X4)
| big_p(c9)
| ~ big_q(Y1)
| big_q(c8)
| ~ big_q(c5)
| ~ big_q(X3)
| big_p(Y)
| ~ big_p(c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
! [Y,X3,Y1,X5] :
( ~ big_q(c10)
| ~ big_p(X5)
| ~ big_q(Y1)
| big_q(c8)
| ~ big_q(c5)
| ~ big_q(X3)
| big_p(Y)
| ~ big_p(c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
! [Y,X2,X1,U1,W1] :
( big_q(W1)
| ~ big_p(U1)
| big_q(f2(X1))
| big_q(X1)
| big_q(X2)
| big_q(c4)
| ~ big_p(Y)
| big_p(c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
! [Y,X2,X1,U1,W1] :
( big_q(W1)
| ~ big_p(U1)
| ~ big_q(f2(X1))
| ~ big_q(X1)
| big_q(X2)
| big_q(c4)
| ~ big_p(Y)
| big_p(c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,negated_conjecture,
! [Y,X2,Y1,X4] :
( big_q(X4)
| big_p(c9)
| big_q(Y1)
| ~ big_q(c8)
| big_q(X2)
| big_q(c4)
| ~ big_p(Y)
| big_p(c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
! [Y,X2,Y1,X5] :
( ~ big_q(c10)
| ~ big_p(X5)
| big_q(Y1)
| ~ big_q(c8)
| big_q(X2)
| big_q(c4)
| ~ big_p(Y)
| big_p(c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55,negated_conjecture,
! [Y,X2,Y1,X4] :
( big_q(X4)
| big_p(c9)
| ~ big_q(Y1)
| big_q(c8)
| big_q(X2)
| big_q(c4)
| ~ big_p(Y)
| big_p(c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,negated_conjecture,
! [Y,X2,Y1,X5] :
( ~ big_q(c10)
| ~ big_p(X5)
| ~ big_q(Y1)
| big_q(c8)
| big_q(X2)
| big_q(c4)
| ~ big_p(Y)
| big_p(c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,negated_conjecture,
! [Y,X3,X1,U1,W1] :
( big_q(W1)
| ~ big_p(U1)
| big_q(f2(X1))
| big_q(X1)
| ~ big_q(c5)
| ~ big_q(X3)
| ~ big_p(Y)
| big_p(c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
! [Y,X3,X1] :
( ~ big_q(c7)
| big_p(c6)
| big_q(f2(X1))
| big_q(X1)
| ~ big_q(c5)
| ~ big_q(X3)
| ~ big_p(Y)
| big_p(c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f59,negated_conjecture,
! [Y,X3,X1,U1,W1] :
( big_q(W1)
| ~ big_p(U1)
| ~ big_q(f2(X1))
| ~ big_q(X1)
| ~ big_q(c5)
| ~ big_q(X3)
| ~ big_p(Y)
| big_p(c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f60,negated_conjecture,
! [Y,X3,X1] :
( ~ big_q(c7)
| big_p(c6)
| ~ big_q(f2(X1))
| ~ big_q(X1)
| ~ big_q(c5)
| ~ big_q(X3)
| ~ big_p(Y)
| big_p(c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f61,negated_conjecture,
! [Y,X3,Y1,X4] :
( big_q(X4)
| big_p(c9)
| big_q(Y1)
| ~ big_q(c8)
| ~ big_q(c5)
| ~ big_q(X3)
| ~ big_p(Y)
| big_p(c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f62,negated_conjecture,
! [Y,X3,Y1,X5] :
( ~ big_q(c10)
| ~ big_p(X5)
| big_q(Y1)
| ~ big_q(c8)
| ~ big_q(c5)
| ~ big_q(X3)
| ~ big_p(Y)
| big_p(c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f63,negated_conjecture,
! [Y,X3,Y1,X4] :
( big_q(X4)
| big_p(c9)
| ~ big_q(Y1)
| big_q(c8)
| ~ big_q(c5)
| ~ big_q(X3)
| ~ big_p(Y)
| big_p(c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f64,negated_conjecture,
! [Y,X3,Y1,X5] :
( ~ big_q(c10)
| ~ big_p(X5)
| ~ big_q(Y1)
| big_q(c8)
| ~ big_q(c5)
| ~ big_q(X3)
| ~ big_p(Y)
| big_p(c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f65,negated_conjecture,
! [X6,X7,X8,X12,X13,X14] :
( big_q(X14)
| ~ big_p(X13)
| big_q(X12)
| ~ big_q(c16)
| big_q(X8)
| ~ big_q(X7)
| big_p(X6)
| ~ big_p(c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f66,negated_conjecture,
! [X6,X7,X8,X12] :
( ~ big_q(c18)
| big_p(c17)
| big_q(X12)
| ~ big_q(c16)
| big_q(X8)
| ~ big_q(X7)
| big_p(X6)
| ~ big_p(c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f67,negated_conjecture,
! [X6,X7,X8,X12,X13,X14] :
( big_q(X14)
| ~ big_p(X13)
| ~ big_q(X12)
| big_q(c16)
| big_q(X8)
| ~ big_q(X7)
| big_p(X6)
| ~ big_p(c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f68,negated_conjecture,
! [X6,X7,X8,X12] :
( ~ big_q(c18)
| big_p(c17)
| ~ big_q(X12)
| big_q(c16)
| big_q(X8)
| ~ big_q(X7)
| big_p(X6)
| ~ big_p(c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f69,negated_conjecture,
! [X6,X7,X8,X15,X16] :
( big_q(X16)
| big_p(c19)
| big_q(f4(X15))
| big_q(X15)
| big_q(X8)
| ~ big_q(X7)
| big_p(X6)
| ~ big_p(c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f70,negated_conjecture,
! [X6,X7,X8,X15,X17] :
( ~ big_q(c20)
| ~ big_p(X17)
| big_q(f4(X15))
| big_q(X15)
| big_q(X8)
| ~ big_q(X7)
| big_p(X6)
| ~ big_p(c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f71,negated_conjecture,
! [X6,X7,X8,X15,X16] :
( big_q(X16)
| big_p(c19)
| ~ big_q(f4(X15))
| ~ big_q(X15)
| big_q(X8)
| ~ big_q(X7)
| big_p(X6)
| ~ big_p(c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f72,negated_conjecture,
! [X6,X7,X8,X15,X17] :
( ~ big_q(c20)
| ~ big_p(X17)
| ~ big_q(f4(X15))
| ~ big_q(X15)
| big_q(X8)
| ~ big_q(X7)
| big_p(X6)
| ~ big_p(c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f73,negated_conjecture,
! [X6,X12,X13,X14] :
( big_q(X14)
| ~ big_p(X13)
| big_q(X12)
| ~ big_q(c16)
| ~ big_q(c13)
| big_q(c12)
| big_p(X6)
| ~ big_p(c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f74,negated_conjecture,
! [X6,X12] :
( ~ big_q(c18)
| big_p(c17)
| big_q(X12)
| ~ big_q(c16)
| ~ big_q(c13)
| big_q(c12)
| big_p(X6)
| ~ big_p(c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f76,negated_conjecture,
! [X6,X12] :
( ~ big_q(c18)
| big_p(c17)
| ~ big_q(X12)
| big_q(c16)
| ~ big_q(c13)
| big_q(c12)
| big_p(X6)
| ~ big_p(c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f77,negated_conjecture,
! [X6,X15,X16] :
( big_q(X16)
| big_p(c19)
| big_q(f4(X15))
| big_q(X15)
| ~ big_q(c13)
| big_q(c12)
| big_p(X6)
| ~ big_p(c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f78,negated_conjecture,
! [X6,X15,X17] :
( ~ big_q(c20)
| ~ big_p(X17)
| big_q(f4(X15))
| big_q(X15)
| ~ big_q(c13)
| big_q(c12)
| big_p(X6)
| ~ big_p(c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f79,negated_conjecture,
! [X6,X15,X16] :
( big_q(X16)
| big_p(c19)
| ~ big_q(f4(X15))
| ~ big_q(X15)
| ~ big_q(c13)
| big_q(c12)
| big_p(X6)
| ~ big_p(c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f80,negated_conjecture,
! [X6,X15,X17] :
( ~ big_q(c20)
| ~ big_p(X17)
| ~ big_q(f4(X15))
| ~ big_q(X15)
| ~ big_q(c13)
| big_q(c12)
| big_p(X6)
| ~ big_p(c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f81,negated_conjecture,
! [X6,X7,X8,X12,X13,X14] :
( big_q(X14)
| ~ big_p(X13)
| big_q(X12)
| ~ big_q(c16)
| big_q(X8)
| ~ big_q(X7)
| ~ big_p(X6)
| big_p(c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f83,negated_conjecture,
! [X6,X7,X8,X12,X13,X14] :
( big_q(X14)
| ~ big_p(X13)
| ~ big_q(X12)
| big_q(c16)
| big_q(X8)
| ~ big_q(X7)
| ~ big_p(X6)
| big_p(c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f85,negated_conjecture,
! [X6,X7,X8,X15,X16] :
( big_q(X16)
| big_p(c19)
| big_q(f4(X15))
| big_q(X15)
| big_q(X8)
| ~ big_q(X7)
| ~ big_p(X6)
| big_p(c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f86,negated_conjecture,
! [X6,X7,X8,X15,X17] :
( ~ big_q(c20)
| ~ big_p(X17)
| big_q(f4(X15))
| big_q(X15)
| big_q(X8)
| ~ big_q(X7)
| ~ big_p(X6)
| big_p(c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f87,negated_conjecture,
! [X6,X7,X8,X15,X16] :
( big_q(X16)
| big_p(c19)
| ~ big_q(f4(X15))
| ~ big_q(X15)
| big_q(X8)
| ~ big_q(X7)
| ~ big_p(X6)
| big_p(c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f88,negated_conjecture,
! [X6,X7,X8,X15,X17] :
( ~ big_q(c20)
| ~ big_p(X17)
| ~ big_q(f4(X15))
| ~ big_q(X15)
| big_q(X8)
| ~ big_q(X7)
| ~ big_p(X6)
| big_p(c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f89,negated_conjecture,
! [X6,X12,X13,X14] :
( big_q(X14)
| ~ big_p(X13)
| big_q(X12)
| ~ big_q(c16)
| ~ big_q(c13)
| big_q(c12)
| ~ big_p(X6)
| big_p(c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f92,negated_conjecture,
! [X6,X12] :
( ~ big_q(c18)
| big_p(c17)
| ~ big_q(X12)
| big_q(c16)
| ~ big_q(c13)
| big_q(c12)
| ~ big_p(X6)
| big_p(c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f93,negated_conjecture,
! [X6,X15,X16] :
( big_q(X16)
| big_p(c19)
| big_q(f4(X15))
| big_q(X15)
| ~ big_q(c13)
| big_q(c12)
| ~ big_p(X6)
| big_p(c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f94,negated_conjecture,
! [X6,X15,X17] :
( ~ big_q(c20)
| ~ big_p(X17)
| big_q(f4(X15))
| big_q(X15)
| ~ big_q(c13)
| big_q(c12)
| ~ big_p(X6)
| big_p(c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f95,negated_conjecture,
! [X6,X15,X16] :
( big_q(X16)
| big_p(c19)
| ~ big_q(f4(X15))
| ~ big_q(X15)
| ~ big_q(c13)
| big_q(c12)
| ~ big_p(X6)
| big_p(c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
! [X6,X15,X17] :
( ~ big_q(c20)
| ~ big_p(X17)
| ~ big_q(f4(X15))
| ~ big_q(X15)
| ~ big_q(c13)
| big_q(c12)
| ~ big_p(X6)
| big_p(c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f97,negated_conjecture,
! [X9,X10,X12,X13,X14] :
( big_q(X14)
| ~ big_p(X13)
| big_q(X12)
| ~ big_q(c16)
| big_q(X10)
| big_q(c14)
| big_p(f3(X9))
| big_p(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f98,negated_conjecture,
! [X9,X10,X12] :
( ~ big_q(c18)
| big_p(c17)
| big_q(X12)
| ~ big_q(c16)
| big_q(X10)
| big_q(c14)
| big_p(f3(X9))
| big_p(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f99,negated_conjecture,
! [X9,X10,X12,X13,X14] :
( big_q(X14)
| ~ big_p(X13)
| ~ big_q(X12)
| big_q(c16)
| big_q(X10)
| big_q(c14)
| big_p(f3(X9))
| big_p(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f100,negated_conjecture,
! [X9,X10,X12] :
( ~ big_q(c18)
| big_p(c17)
| ~ big_q(X12)
| big_q(c16)
| big_q(X10)
| big_q(c14)
| big_p(f3(X9))
| big_p(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f101,negated_conjecture,
! [X9,X10,X15,X16] :
( big_q(X16)
| big_p(c19)
| big_q(f4(X15))
| big_q(X15)
| big_q(X10)
| big_q(c14)
| big_p(f3(X9))
| big_p(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f102,negated_conjecture,
! [X9,X10,X15,X17] :
( ~ big_q(c20)
| ~ big_p(X17)
| big_q(f4(X15))
| big_q(X15)
| big_q(X10)
| big_q(c14)
| big_p(f3(X9))
| big_p(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f103,negated_conjecture,
! [X9,X10,X15,X16] :
( big_q(X16)
| big_p(c19)
| ~ big_q(f4(X15))
| ~ big_q(X15)
| big_q(X10)
| big_q(c14)
| big_p(f3(X9))
| big_p(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f104,negated_conjecture,
! [X9,X10,X15,X17] :
( ~ big_q(c20)
| ~ big_p(X17)
| ~ big_q(f4(X15))
| ~ big_q(X15)
| big_q(X10)
| big_q(c14)
| big_p(f3(X9))
| big_p(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f105,negated_conjecture,
! [X9,X11,X12,X13,X14] :
( big_q(X14)
| ~ big_p(X13)
| big_q(X12)
| ~ big_q(c16)
| ~ big_q(c15)
| ~ big_q(X11)
| big_p(f3(X9))
| big_p(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f106,negated_conjecture,
! [X9,X11,X12] :
( ~ big_q(c18)
| big_p(c17)
| big_q(X12)
| ~ big_q(c16)
| ~ big_q(c15)
| ~ big_q(X11)
| big_p(f3(X9))
| big_p(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f107,negated_conjecture,
! [X9,X11,X12,X13,X14] :
( big_q(X14)
| ~ big_p(X13)
| ~ big_q(X12)
| big_q(c16)
| ~ big_q(c15)
| ~ big_q(X11)
| big_p(f3(X9))
| big_p(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f108,negated_conjecture,
! [X9,X11,X12] :
( ~ big_q(c18)
| big_p(c17)
| ~ big_q(X12)
| big_q(c16)
| ~ big_q(c15)
| ~ big_q(X11)
| big_p(f3(X9))
| big_p(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f109,negated_conjecture,
! [X9,X11,X15,X16] :
( big_q(X16)
| big_p(c19)
| big_q(f4(X15))
| big_q(X15)
| ~ big_q(c15)
| ~ big_q(X11)
| big_p(f3(X9))
| big_p(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f110,negated_conjecture,
! [X9,X11,X15,X17] :
( ~ big_q(c20)
| ~ big_p(X17)
| big_q(f4(X15))
| big_q(X15)
| ~ big_q(c15)
| ~ big_q(X11)
| big_p(f3(X9))
| big_p(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f111,negated_conjecture,
! [X9,X11,X15,X16] :
( big_q(X16)
| big_p(c19)
| ~ big_q(f4(X15))
| ~ big_q(X15)
| ~ big_q(c15)
| ~ big_q(X11)
| big_p(f3(X9))
| big_p(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f112,negated_conjecture,
! [X9,X11,X15,X17] :
( ~ big_q(c20)
| ~ big_p(X17)
| ~ big_q(f4(X15))
| ~ big_q(X15)
| ~ big_q(c15)
| ~ big_q(X11)
| big_p(f3(X9))
| big_p(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f113,negated_conjecture,
! [X9,X10,X12,X13,X14] :
( big_q(X14)
| ~ big_p(X13)
| big_q(X12)
| ~ big_q(c16)
| big_q(X10)
| big_q(c14)
| ~ big_p(f3(X9))
| ~ big_p(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f114,negated_conjecture,
! [X9,X10,X12] :
( ~ big_q(c18)
| big_p(c17)
| big_q(X12)
| ~ big_q(c16)
| big_q(X10)
| big_q(c14)
| ~ big_p(f3(X9))
| ~ big_p(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f115,negated_conjecture,
! [X9,X10,X12,X13,X14] :
( big_q(X14)
| ~ big_p(X13)
| ~ big_q(X12)
| big_q(c16)
| big_q(X10)
| big_q(c14)
| ~ big_p(f3(X9))
| ~ big_p(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f116,negated_conjecture,
! [X9,X10,X12] :
( ~ big_q(c18)
| big_p(c17)
| ~ big_q(X12)
| big_q(c16)
| big_q(X10)
| big_q(c14)
| ~ big_p(f3(X9))
| ~ big_p(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f117,negated_conjecture,
! [X9,X10,X15,X16] :
( big_q(X16)
| big_p(c19)
| big_q(f4(X15))
| big_q(X15)
| big_q(X10)
| big_q(c14)
| ~ big_p(f3(X9))
| ~ big_p(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f118,negated_conjecture,
! [X9,X10,X15,X17] :
( ~ big_q(c20)
| ~ big_p(X17)
| big_q(f4(X15))
| big_q(X15)
| big_q(X10)
| big_q(c14)
| ~ big_p(f3(X9))
| ~ big_p(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f119,negated_conjecture,
! [X9,X10,X15,X16] :
( big_q(X16)
| big_p(c19)
| ~ big_q(f4(X15))
| ~ big_q(X15)
| big_q(X10)
| big_q(c14)
| ~ big_p(f3(X9))
| ~ big_p(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f120,negated_conjecture,
! [X9,X10,X15,X17] :
( ~ big_q(c20)
| ~ big_p(X17)
| ~ big_q(f4(X15))
| ~ big_q(X15)
| big_q(X10)
| big_q(c14)
| ~ big_p(f3(X9))
| ~ big_p(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f121,negated_conjecture,
! [X9,X11,X12,X13,X14] :
( big_q(X14)
| ~ big_p(X13)
| big_q(X12)
| ~ big_q(c16)
| ~ big_q(c15)
| ~ big_q(X11)
| ~ big_p(f3(X9))
| ~ big_p(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f122,negated_conjecture,
! [X9,X11,X12] :
( ~ big_q(c18)
| big_p(c17)
| big_q(X12)
| ~ big_q(c16)
| ~ big_q(c15)
| ~ big_q(X11)
| ~ big_p(f3(X9))
| ~ big_p(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f123,negated_conjecture,
! [X9,X11,X12,X13,X14] :
( big_q(X14)
| ~ big_p(X13)
| ~ big_q(X12)
| big_q(c16)
| ~ big_q(c15)
| ~ big_q(X11)
| ~ big_p(f3(X9))
| ~ big_p(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f124,negated_conjecture,
! [X9,X11,X12] :
( ~ big_q(c18)
| big_p(c17)
| ~ big_q(X12)
| big_q(c16)
| ~ big_q(c15)
| ~ big_q(X11)
| ~ big_p(f3(X9))
| ~ big_p(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f125,negated_conjecture,
! [X9,X11,X15,X16] :
( big_q(X16)
| big_p(c19)
| big_q(f4(X15))
| big_q(X15)
| ~ big_q(c15)
| ~ big_q(X11)
| ~ big_p(f3(X9))
| ~ big_p(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f126,negated_conjecture,
! [X9,X11,X15,X17] :
( ~ big_q(c20)
| ~ big_p(X17)
| big_q(f4(X15))
| big_q(X15)
| ~ big_q(c15)
| ~ big_q(X11)
| ~ big_p(f3(X9))
| ~ big_p(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f127,negated_conjecture,
! [X9,X11,X15,X16] :
( big_q(X16)
| big_p(c19)
| ~ big_q(f4(X15))
| ~ big_q(X15)
| ~ big_q(c15)
| ~ big_q(X11)
| ~ big_p(f3(X9))
| ~ big_p(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f128,negated_conjecture,
! [X9,X11,X15,X17] :
( ~ big_q(c20)
| ~ big_p(X17)
| ~ big_q(f4(X15))
| ~ big_q(X15)
| ~ big_q(c15)
| ~ big_q(X11)
| ~ big_p(f3(X9))
| ~ big_p(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f129,plain,
( ! [W1] : big_q(W1)
| ! [U1] : ~ big_p(U1)
| ! [X1] :
( big_q(f2(X1))
| big_q(X1)
| ! [W] : big_q(W)
| ! [U] : ~ big_q(U)
| ! [X] :
( big_p(f1(X))
| big_p(X) ) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4,X5] :
( big_q(X5)
| ~ big_p(X4)
| big_q(f2(X3))
| big_q(X3)
| big_q(X2)
| ~ big_q(X1)
| big_p(f1(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f131,plain,
( ~ big_q(c7)
| big_p(c6)
| ! [X1] :
( big_q(f2(X1))
| big_q(X1)
| ! [W] : big_q(W)
| ! [U] : ~ big_q(U)
| ! [X] :
( big_p(f1(X))
| big_p(X) ) ) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f132,plain,
! [X0,X1,X2,X3] :
( ~ big_q(c7)
| big_p(c6)
| big_q(f2(X3))
| big_q(X3)
| big_q(X2)
| ~ big_q(X1)
| big_p(f1(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f131]) ).
fof(f133,plain,
( ! [W1] : big_q(W1)
| ! [U1] : ~ big_p(U1)
| ! [X1] :
( ~ big_q(f2(X1))
| ~ big_q(X1)
| ! [W] : big_q(W)
| ! [U] : ~ big_q(U)
| ! [X] :
( big_p(f1(X))
| big_p(X) ) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f134,plain,
! [X0,X1,X2,X3,X4,X5] :
( big_q(X5)
| ~ big_p(X4)
| ~ big_q(f2(X3))
| ~ big_q(X3)
| big_q(X2)
| ~ big_q(X1)
| big_p(f1(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f135,plain,
( ~ big_q(c7)
| big_p(c6)
| ! [X1] :
( ~ big_q(f2(X1))
| ~ big_q(X1)
| ! [W] : big_q(W)
| ! [U] : ~ big_q(U)
| ! [X] :
( big_p(f1(X))
| big_p(X) ) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f136,plain,
! [X0,X1,X2,X3] :
( ~ big_q(c7)
| big_p(c6)
| ~ big_q(f2(X3))
| ~ big_q(X3)
| big_q(X2)
| ~ big_q(X1)
| big_p(f1(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f137,plain,
( ! [X4] : big_q(X4)
| big_p(c9)
| ! [Y1] : big_q(Y1)
| ~ big_q(c8)
| ! [W] : big_q(W)
| ! [U] : ~ big_q(U)
| ! [X] :
( big_p(f1(X))
| big_p(X) ) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f138,plain,
! [X0,X1,X2,X3,X4] :
( big_q(X4)
| big_p(c9)
| big_q(X3)
| ~ big_q(c8)
| big_q(X2)
| ~ big_q(X1)
| big_p(f1(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f139,plain,
( ~ big_q(c10)
| ! [X5] : ~ big_p(X5)
| ! [Y1] : big_q(Y1)
| ~ big_q(c8)
| ! [W] : big_q(W)
| ! [U] : ~ big_q(U)
| ! [X] :
( big_p(f1(X))
| big_p(X) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f140,plain,
! [X0,X1,X2,X3,X4] :
( ~ big_q(c10)
| ~ big_p(X4)
| big_q(X3)
| ~ big_q(c8)
| big_q(X2)
| ~ big_q(X1)
| big_p(f1(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f139]) ).
fof(f141,plain,
( ! [X4] : big_q(X4)
| big_p(c9)
| ! [Y1] : ~ big_q(Y1)
| big_q(c8)
| ! [W] : big_q(W)
| ! [U] : ~ big_q(U)
| ! [X] :
( big_p(f1(X))
| big_p(X) ) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f142,plain,
! [X0,X1,X2,X3,X4] :
( big_q(X4)
| big_p(c9)
| ~ big_q(X3)
| big_q(c8)
| big_q(X2)
| ~ big_q(X1)
| big_p(f1(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f143,plain,
( ~ big_q(c10)
| ! [X5] : ~ big_p(X5)
| ! [Y1] : ~ big_q(Y1)
| big_q(c8)
| ! [W] : big_q(W)
| ! [U] : ~ big_q(U)
| ! [X] :
( big_p(f1(X))
| big_p(X) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f144,plain,
! [X0,X1,X2,X3,X4] :
( ~ big_q(c10)
| ~ big_p(X4)
| ~ big_q(X3)
| big_q(c8)
| big_q(X2)
| ~ big_q(X1)
| big_p(f1(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f145,plain,
( ! [W1] : big_q(W1)
| ! [U1] : ~ big_p(U1)
| ! [X1] :
( big_q(f2(X1))
| big_q(X1)
| ~ big_q(c2)
| big_q(c1)
| ! [X] :
( big_p(f1(X))
| big_p(X) ) ) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f146,plain,
! [X0,X1,X2,X3] :
( big_q(X3)
| ~ big_p(X2)
| big_q(f2(X1))
| big_q(X1)
| ~ big_q(c2)
| big_q(c1)
| big_p(f1(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f145]) ).
fof(f147,plain,
( ~ big_q(c7)
| big_p(c6)
| ! [X1] :
( big_q(f2(X1))
| big_q(X1)
| ~ big_q(c2)
| big_q(c1)
| ! [X] :
( big_p(f1(X))
| big_p(X) ) ) ),
inference(miniscoping,[status(thm)],[f10]) ).
fof(f148,plain,
! [X0,X1] :
( ~ big_q(c7)
| big_p(c6)
| big_q(f2(X1))
| big_q(X1)
| ~ big_q(c2)
| big_q(c1)
| big_p(f1(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f147]) ).
fof(f149,plain,
( ! [W1] : big_q(W1)
| ! [U1] : ~ big_p(U1)
| ! [X1] :
( ~ big_q(f2(X1))
| ~ big_q(X1)
| ~ big_q(c2)
| big_q(c1)
| ! [X] :
( big_p(f1(X))
| big_p(X) ) ) ),
inference(miniscoping,[status(thm)],[f11]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( big_q(X3)
| ~ big_p(X2)
| ~ big_q(f2(X1))
| ~ big_q(X1)
| ~ big_q(c2)
| big_q(c1)
| big_p(f1(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f151,plain,
( ~ big_q(c7)
| big_p(c6)
| ! [X1] :
( ~ big_q(f2(X1))
| ~ big_q(X1)
| ~ big_q(c2)
| big_q(c1)
| ! [X] :
( big_p(f1(X))
| big_p(X) ) ) ),
inference(miniscoping,[status(thm)],[f12]) ).
fof(f152,plain,
! [X0,X1] :
( ~ big_q(c7)
| big_p(c6)
| ~ big_q(f2(X1))
| ~ big_q(X1)
| ~ big_q(c2)
| big_q(c1)
| big_p(f1(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f153,plain,
( ! [X4] : big_q(X4)
| big_p(c9)
| ! [Y1] : big_q(Y1)
| ~ big_q(c8)
| ~ big_q(c2)
| big_q(c1)
| ! [X] :
( big_p(f1(X))
| big_p(X) ) ),
inference(miniscoping,[status(thm)],[f13]) ).
fof(f154,plain,
! [X0,X1,X2] :
( big_q(X2)
| big_p(c9)
| big_q(X1)
| ~ big_q(c8)
| ~ big_q(c2)
| big_q(c1)
| big_p(f1(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f153]) ).
fof(f155,plain,
( ~ big_q(c10)
| ! [X5] : ~ big_p(X5)
| ! [Y1] : big_q(Y1)
| ~ big_q(c8)
| ~ big_q(c2)
| big_q(c1)
| ! [X] :
( big_p(f1(X))
| big_p(X) ) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f156,plain,
! [X0,X1,X2] :
( ~ big_q(c10)
| ~ big_p(X2)
| big_q(X1)
| ~ big_q(c8)
| ~ big_q(c2)
| big_q(c1)
| big_p(f1(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f155]) ).
fof(f159,plain,
( ~ big_q(c10)
| ! [X5] : ~ big_p(X5)
| ! [Y1] : ~ big_q(Y1)
| big_q(c8)
| ~ big_q(c2)
| big_q(c1)
| ! [X] :
( big_p(f1(X))
| big_p(X) ) ),
inference(miniscoping,[status(thm)],[f16]) ).
fof(f160,plain,
! [X0,X1,X2] :
( ~ big_q(c10)
| ~ big_p(X2)
| ~ big_q(X1)
| big_q(c8)
| ~ big_q(c2)
| big_q(c1)
| big_p(f1(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f161,plain,
( ! [W1] : big_q(W1)
| ! [U1] : ~ big_p(U1)
| ! [X1] :
( big_q(f2(X1))
| big_q(X1)
| ! [W] : big_q(W)
| ! [U] : ~ big_q(U)
| ! [X] :
( ~ big_p(f1(X))
| ~ big_p(X) ) ) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f162,plain,
! [X0,X1,X2,X3,X4,X5] :
( big_q(X5)
| ~ big_p(X4)
| big_q(f2(X3))
| big_q(X3)
| big_q(X2)
| ~ big_q(X1)
| ~ big_p(f1(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f161]) ).
fof(f163,plain,
( ~ big_q(c7)
| big_p(c6)
| ! [X1] :
( big_q(f2(X1))
| big_q(X1)
| ! [W] : big_q(W)
| ! [U] : ~ big_q(U)
| ! [X] :
( ~ big_p(f1(X))
| ~ big_p(X) ) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f164,plain,
! [X0,X1,X2,X3] :
( ~ big_q(c7)
| big_p(c6)
| big_q(f2(X3))
| big_q(X3)
| big_q(X2)
| ~ big_q(X1)
| ~ big_p(f1(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f163]) ).
fof(f165,plain,
( ! [W1] : big_q(W1)
| ! [U1] : ~ big_p(U1)
| ! [X1] :
( ~ big_q(f2(X1))
| ~ big_q(X1)
| ! [W] : big_q(W)
| ! [U] : ~ big_q(U)
| ! [X] :
( ~ big_p(f1(X))
| ~ big_p(X) ) ) ),
inference(miniscoping,[status(thm)],[f19]) ).
fof(f166,plain,
! [X0,X1,X2,X3,X4,X5] :
( big_q(X5)
| ~ big_p(X4)
| ~ big_q(f2(X3))
| ~ big_q(X3)
| big_q(X2)
| ~ big_q(X1)
| ~ big_p(f1(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f165]) ).
fof(f167,plain,
( ~ big_q(c7)
| big_p(c6)
| ! [X1] :
( ~ big_q(f2(X1))
| ~ big_q(X1)
| ! [W] : big_q(W)
| ! [U] : ~ big_q(U)
| ! [X] :
( ~ big_p(f1(X))
| ~ big_p(X) ) ) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f168,plain,
! [X0,X1,X2,X3] :
( ~ big_q(c7)
| big_p(c6)
| ~ big_q(f2(X3))
| ~ big_q(X3)
| big_q(X2)
| ~ big_q(X1)
| ~ big_p(f1(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f167]) ).
fof(f169,plain,
( ! [X4] : big_q(X4)
| big_p(c9)
| ! [Y1] : big_q(Y1)
| ~ big_q(c8)
| ! [W] : big_q(W)
| ! [U] : ~ big_q(U)
| ! [X] :
( ~ big_p(f1(X))
| ~ big_p(X) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f170,plain,
! [X0,X1,X2,X3,X4] :
( big_q(X4)
| big_p(c9)
| big_q(X3)
| ~ big_q(c8)
| big_q(X2)
| ~ big_q(X1)
| ~ big_p(f1(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f171,plain,
( ~ big_q(c10)
| ! [X5] : ~ big_p(X5)
| ! [Y1] : big_q(Y1)
| ~ big_q(c8)
| ! [W] : big_q(W)
| ! [U] : ~ big_q(U)
| ! [X] :
( ~ big_p(f1(X))
| ~ big_p(X) ) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f172,plain,
! [X0,X1,X2,X3,X4] :
( ~ big_q(c10)
| ~ big_p(X4)
| big_q(X3)
| ~ big_q(c8)
| big_q(X2)
| ~ big_q(X1)
| ~ big_p(f1(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f171]) ).
fof(f173,plain,
( ! [X4] : big_q(X4)
| big_p(c9)
| ! [Y1] : ~ big_q(Y1)
| big_q(c8)
| ! [W] : big_q(W)
| ! [U] : ~ big_q(U)
| ! [X] :
( ~ big_p(f1(X))
| ~ big_p(X) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f174,plain,
! [X0,X1,X2,X3,X4] :
( big_q(X4)
| big_p(c9)
| ~ big_q(X3)
| big_q(c8)
| big_q(X2)
| ~ big_q(X1)
| ~ big_p(f1(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f173]) ).
fof(f175,plain,
( ~ big_q(c10)
| ! [X5] : ~ big_p(X5)
| ! [Y1] : ~ big_q(Y1)
| big_q(c8)
| ! [W] : big_q(W)
| ! [U] : ~ big_q(U)
| ! [X] :
( ~ big_p(f1(X))
| ~ big_p(X) ) ),
inference(miniscoping,[status(thm)],[f24]) ).
fof(f176,plain,
! [X0,X1,X2,X3,X4] :
( ~ big_q(c10)
| ~ big_p(X4)
| ~ big_q(X3)
| big_q(c8)
| big_q(X2)
| ~ big_q(X1)
| ~ big_p(f1(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f175]) ).
fof(f177,plain,
( ! [W1] : big_q(W1)
| ! [U1] : ~ big_p(U1)
| ! [X1] :
( big_q(f2(X1))
| big_q(X1)
| ~ big_q(c2)
| big_q(c1)
| ! [X] :
( ~ big_p(f1(X))
| ~ big_p(X) ) ) ),
inference(miniscoping,[status(thm)],[f25]) ).
fof(f178,plain,
! [X0,X1,X2,X3] :
( big_q(X3)
| ~ big_p(X2)
| big_q(f2(X1))
| big_q(X1)
| ~ big_q(c2)
| big_q(c1)
| ~ big_p(f1(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f177]) ).
fof(f179,plain,
( ~ big_q(c7)
| big_p(c6)
| ! [X1] :
( big_q(f2(X1))
| big_q(X1)
| ~ big_q(c2)
| big_q(c1)
| ! [X] :
( ~ big_p(f1(X))
| ~ big_p(X) ) ) ),
inference(miniscoping,[status(thm)],[f26]) ).
fof(f180,plain,
! [X0,X1] :
( ~ big_q(c7)
| big_p(c6)
| big_q(f2(X1))
| big_q(X1)
| ~ big_q(c2)
| big_q(c1)
| ~ big_p(f1(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f181,plain,
( ! [W1] : big_q(W1)
| ! [U1] : ~ big_p(U1)
| ! [X1] :
( ~ big_q(f2(X1))
| ~ big_q(X1)
| ~ big_q(c2)
| big_q(c1)
| ! [X] :
( ~ big_p(f1(X))
| ~ big_p(X) ) ) ),
inference(miniscoping,[status(thm)],[f27]) ).
fof(f182,plain,
! [X0,X1,X2,X3] :
( big_q(X3)
| ~ big_p(X2)
| ~ big_q(f2(X1))
| ~ big_q(X1)
| ~ big_q(c2)
| big_q(c1)
| ~ big_p(f1(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f181]) ).
fof(f183,plain,
( ~ big_q(c7)
| big_p(c6)
| ! [X1] :
( ~ big_q(f2(X1))
| ~ big_q(X1)
| ~ big_q(c2)
| big_q(c1)
| ! [X] :
( ~ big_p(f1(X))
| ~ big_p(X) ) ) ),
inference(miniscoping,[status(thm)],[f28]) ).
fof(f184,plain,
! [X0,X1] :
( ~ big_q(c7)
| big_p(c6)
| ~ big_q(f2(X1))
| ~ big_q(X1)
| ~ big_q(c2)
| big_q(c1)
| ~ big_p(f1(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f183]) ).
fof(f185,plain,
( ! [X4] : big_q(X4)
| big_p(c9)
| ! [Y1] : big_q(Y1)
| ~ big_q(c8)
| ~ big_q(c2)
| big_q(c1)
| ! [X] :
( ~ big_p(f1(X))
| ~ big_p(X) ) ),
inference(miniscoping,[status(thm)],[f29]) ).
fof(f186,plain,
! [X0,X1,X2] :
( big_q(X2)
| big_p(c9)
| big_q(X1)
| ~ big_q(c8)
| ~ big_q(c2)
| big_q(c1)
| ~ big_p(f1(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f187,plain,
( ~ big_q(c10)
| ! [X5] : ~ big_p(X5)
| ! [Y1] : big_q(Y1)
| ~ big_q(c8)
| ~ big_q(c2)
| big_q(c1)
| ! [X] :
( ~ big_p(f1(X))
| ~ big_p(X) ) ),
inference(miniscoping,[status(thm)],[f30]) ).
fof(f188,plain,
! [X0,X1,X2] :
( ~ big_q(c10)
| ~ big_p(X2)
| big_q(X1)
| ~ big_q(c8)
| ~ big_q(c2)
| big_q(c1)
| ~ big_p(f1(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f191,plain,
( ~ big_q(c10)
| ! [X5] : ~ big_p(X5)
| ! [Y1] : ~ big_q(Y1)
| big_q(c8)
| ~ big_q(c2)
| big_q(c1)
| ! [X] :
( ~ big_p(f1(X))
| ~ big_p(X) ) ),
inference(miniscoping,[status(thm)],[f32]) ).
fof(f192,plain,
! [X0,X1,X2] :
( ~ big_q(c10)
| ~ big_p(X2)
| ~ big_q(X1)
| big_q(c8)
| ~ big_q(c2)
| big_q(c1)
| ~ big_p(f1(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f193,plain,
( ! [W1] : big_q(W1)
| ! [U1] : ~ big_p(U1)
| ! [X1] :
( big_q(f2(X1))
| big_q(X1)
| ! [X2] : big_q(X2)
| big_q(c4)
| ! [Y] : big_p(Y)
| ~ big_p(c3) ) ),
inference(miniscoping,[status(thm)],[f33]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4] :
( big_q(X4)
| ~ big_p(X3)
| big_q(f2(X2))
| big_q(X2)
| big_q(X1)
| big_q(c4)
| big_p(X0)
| ~ big_p(c3) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f195,plain,
( ~ big_q(c7)
| big_p(c6)
| ! [X1] :
( big_q(f2(X1))
| big_q(X1)
| ! [X2] : big_q(X2)
| big_q(c4)
| ! [Y] : big_p(Y)
| ~ big_p(c3) ) ),
inference(miniscoping,[status(thm)],[f34]) ).
fof(f196,plain,
! [X0,X1,X2] :
( ~ big_q(c7)
| big_p(c6)
| big_q(f2(X2))
| big_q(X2)
| big_q(X1)
| big_q(c4)
| big_p(X0)
| ~ big_p(c3) ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f197,plain,
( ! [W1] : big_q(W1)
| ! [U1] : ~ big_p(U1)
| ! [X1] :
( ~ big_q(f2(X1))
| ~ big_q(X1)
| ! [X2] : big_q(X2)
| big_q(c4)
| ! [Y] : big_p(Y)
| ~ big_p(c3) ) ),
inference(miniscoping,[status(thm)],[f35]) ).
fof(f198,plain,
! [X0,X1,X2,X3,X4] :
( big_q(X4)
| ~ big_p(X3)
| ~ big_q(f2(X2))
| ~ big_q(X2)
| big_q(X1)
| big_q(c4)
| big_p(X0)
| ~ big_p(c3) ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f199,plain,
( ~ big_q(c7)
| big_p(c6)
| ! [X1] :
( ~ big_q(f2(X1))
| ~ big_q(X1)
| ! [X2] : big_q(X2)
| big_q(c4)
| ! [Y] : big_p(Y)
| ~ big_p(c3) ) ),
inference(miniscoping,[status(thm)],[f36]) ).
fof(f200,plain,
! [X0,X1,X2] :
( ~ big_q(c7)
| big_p(c6)
| ~ big_q(f2(X2))
| ~ big_q(X2)
| big_q(X1)
| big_q(c4)
| big_p(X0)
| ~ big_p(c3) ),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f201,plain,
( ! [X4] : big_q(X4)
| big_p(c9)
| ! [Y1] : big_q(Y1)
| ~ big_q(c8)
| ! [X2] : big_q(X2)
| big_q(c4)
| ! [Y] : big_p(Y)
| ~ big_p(c3) ),
inference(miniscoping,[status(thm)],[f37]) ).
fof(f202,plain,
! [X0,X1,X2,X3] :
( big_q(X3)
| big_p(c9)
| big_q(X2)
| ~ big_q(c8)
| big_q(X1)
| big_q(c4)
| big_p(X0)
| ~ big_p(c3) ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f203,plain,
( ~ big_q(c10)
| ! [X5] : ~ big_p(X5)
| ! [Y1] : big_q(Y1)
| ~ big_q(c8)
| ! [X2] : big_q(X2)
| big_q(c4)
| ! [Y] : big_p(Y)
| ~ big_p(c3) ),
inference(miniscoping,[status(thm)],[f38]) ).
fof(f204,plain,
! [X0,X1,X2,X3] :
( ~ big_q(c10)
| ~ big_p(X3)
| big_q(X2)
| ~ big_q(c8)
| big_q(X1)
| big_q(c4)
| big_p(X0)
| ~ big_p(c3) ),
inference(cnf_transformation,[status(thm)],[f203]) ).
fof(f205,plain,
( ! [X4] : big_q(X4)
| big_p(c9)
| ! [Y1] : ~ big_q(Y1)
| big_q(c8)
| ! [X2] : big_q(X2)
| big_q(c4)
| ! [Y] : big_p(Y)
| ~ big_p(c3) ),
inference(miniscoping,[status(thm)],[f39]) ).
fof(f206,plain,
! [X0,X1,X2,X3] :
( big_q(X3)
| big_p(c9)
| ~ big_q(X2)
| big_q(c8)
| big_q(X1)
| big_q(c4)
| big_p(X0)
| ~ big_p(c3) ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f207,plain,
( ~ big_q(c10)
| ! [X5] : ~ big_p(X5)
| ! [Y1] : ~ big_q(Y1)
| big_q(c8)
| ! [X2] : big_q(X2)
| big_q(c4)
| ! [Y] : big_p(Y)
| ~ big_p(c3) ),
inference(miniscoping,[status(thm)],[f40]) ).
fof(f208,plain,
! [X0,X1,X2,X3] :
( ~ big_q(c10)
| ~ big_p(X3)
| ~ big_q(X2)
| big_q(c8)
| big_q(X1)
| big_q(c4)
| big_p(X0)
| ~ big_p(c3) ),
inference(cnf_transformation,[status(thm)],[f207]) ).
fof(f209,plain,
( ! [W1] : big_q(W1)
| ! [U1] : ~ big_p(U1)
| ! [X1] :
( big_q(f2(X1))
| big_q(X1)
| ~ big_q(c5)
| ! [X3] : ~ big_q(X3)
| ! [Y] : big_p(Y)
| ~ big_p(c3) ) ),
inference(miniscoping,[status(thm)],[f41]) ).
fof(f210,plain,
! [X0,X1,X2,X3,X4] :
( big_q(X4)
| ~ big_p(X3)
| big_q(f2(X2))
| big_q(X2)
| ~ big_q(c5)
| ~ big_q(X1)
| big_p(X0)
| ~ big_p(c3) ),
inference(cnf_transformation,[status(thm)],[f209]) ).
fof(f211,plain,
( ~ big_q(c7)
| big_p(c6)
| ! [X1] :
( big_q(f2(X1))
| big_q(X1)
| ~ big_q(c5)
| ! [X3] : ~ big_q(X3)
| ! [Y] : big_p(Y)
| ~ big_p(c3) ) ),
inference(miniscoping,[status(thm)],[f42]) ).
fof(f212,plain,
! [X0,X1,X2] :
( ~ big_q(c7)
| big_p(c6)
| big_q(f2(X2))
| big_q(X2)
| ~ big_q(c5)
| ~ big_q(X1)
| big_p(X0)
| ~ big_p(c3) ),
inference(cnf_transformation,[status(thm)],[f211]) ).
fof(f213,plain,
( ! [W1] : big_q(W1)
| ! [U1] : ~ big_p(U1)
| ! [X1] :
( ~ big_q(f2(X1))
| ~ big_q(X1)
| ~ big_q(c5)
| ! [X3] : ~ big_q(X3)
| ! [Y] : big_p(Y)
| ~ big_p(c3) ) ),
inference(miniscoping,[status(thm)],[f43]) ).
fof(f214,plain,
! [X0,X1,X2,X3,X4] :
( big_q(X4)
| ~ big_p(X3)
| ~ big_q(f2(X2))
| ~ big_q(X2)
| ~ big_q(c5)
| ~ big_q(X1)
| big_p(X0)
| ~ big_p(c3) ),
inference(cnf_transformation,[status(thm)],[f213]) ).
fof(f215,plain,
( ~ big_q(c7)
| big_p(c6)
| ! [X1] :
( ~ big_q(f2(X1))
| ~ big_q(X1)
| ~ big_q(c5)
| ! [X3] : ~ big_q(X3)
| ! [Y] : big_p(Y)
| ~ big_p(c3) ) ),
inference(miniscoping,[status(thm)],[f44]) ).
fof(f216,plain,
! [X0,X1,X2] :
( ~ big_q(c7)
| big_p(c6)
| ~ big_q(f2(X2))
| ~ big_q(X2)
| ~ big_q(c5)
| ~ big_q(X1)
| big_p(X0)
| ~ big_p(c3) ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f217,plain,
( ! [X4] : big_q(X4)
| big_p(c9)
| ! [Y1] : big_q(Y1)
| ~ big_q(c8)
| ~ big_q(c5)
| ! [X3] : ~ big_q(X3)
| ! [Y] : big_p(Y)
| ~ big_p(c3) ),
inference(miniscoping,[status(thm)],[f45]) ).
fof(f218,plain,
! [X0,X1,X2,X3] :
( big_q(X3)
| big_p(c9)
| big_q(X2)
| ~ big_q(c8)
| ~ big_q(c5)
| ~ big_q(X1)
| big_p(X0)
| ~ big_p(c3) ),
inference(cnf_transformation,[status(thm)],[f217]) ).
fof(f219,plain,
( ~ big_q(c10)
| ! [X5] : ~ big_p(X5)
| ! [Y1] : big_q(Y1)
| ~ big_q(c8)
| ~ big_q(c5)
| ! [X3] : ~ big_q(X3)
| ! [Y] : big_p(Y)
| ~ big_p(c3) ),
inference(miniscoping,[status(thm)],[f46]) ).
fof(f220,plain,
! [X0,X1,X2,X3] :
( ~ big_q(c10)
| ~ big_p(X3)
| big_q(X2)
| ~ big_q(c8)
| ~ big_q(c5)
| ~ big_q(X1)
| big_p(X0)
| ~ big_p(c3) ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f221,plain,
( ! [X4] : big_q(X4)
| big_p(c9)
| ! [Y1] : ~ big_q(Y1)
| big_q(c8)
| ~ big_q(c5)
| ! [X3] : ~ big_q(X3)
| ! [Y] : big_p(Y)
| ~ big_p(c3) ),
inference(miniscoping,[status(thm)],[f47]) ).
fof(f222,plain,
! [X0,X1,X2,X3] :
( big_q(X3)
| big_p(c9)
| ~ big_q(X2)
| big_q(c8)
| ~ big_q(c5)
| ~ big_q(X1)
| big_p(X0)
| ~ big_p(c3) ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f223,plain,
( ~ big_q(c10)
| ! [X5] : ~ big_p(X5)
| ! [Y1] : ~ big_q(Y1)
| big_q(c8)
| ~ big_q(c5)
| ! [X3] : ~ big_q(X3)
| ! [Y] : big_p(Y)
| ~ big_p(c3) ),
inference(miniscoping,[status(thm)],[f48]) ).
fof(f224,plain,
! [X0,X1,X2,X3] :
( ~ big_q(c10)
| ~ big_p(X3)
| ~ big_q(X2)
| big_q(c8)
| ~ big_q(c5)
| ~ big_q(X1)
| big_p(X0)
| ~ big_p(c3) ),
inference(cnf_transformation,[status(thm)],[f223]) ).
fof(f225,plain,
( ! [W1] : big_q(W1)
| ! [U1] : ~ big_p(U1)
| ! [X1] :
( big_q(f2(X1))
| big_q(X1)
| ! [X2] : big_q(X2)
| big_q(c4)
| ! [Y] : ~ big_p(Y)
| big_p(c3) ) ),
inference(miniscoping,[status(thm)],[f49]) ).
fof(f226,plain,
! [X0,X1,X2,X3,X4] :
( big_q(X4)
| ~ big_p(X3)
| big_q(f2(X2))
| big_q(X2)
| big_q(X1)
| big_q(c4)
| ~ big_p(X0)
| big_p(c3) ),
inference(cnf_transformation,[status(thm)],[f225]) ).
fof(f229,plain,
( ! [W1] : big_q(W1)
| ! [U1] : ~ big_p(U1)
| ! [X1] :
( ~ big_q(f2(X1))
| ~ big_q(X1)
| ! [X2] : big_q(X2)
| big_q(c4)
| ! [Y] : ~ big_p(Y)
| big_p(c3) ) ),
inference(miniscoping,[status(thm)],[f51]) ).
fof(f230,plain,
! [X0,X1,X2,X3,X4] :
( big_q(X4)
| ~ big_p(X3)
| ~ big_q(f2(X2))
| ~ big_q(X2)
| big_q(X1)
| big_q(c4)
| ~ big_p(X0)
| big_p(c3) ),
inference(cnf_transformation,[status(thm)],[f229]) ).
fof(f233,plain,
( ! [X4] : big_q(X4)
| big_p(c9)
| ! [Y1] : big_q(Y1)
| ~ big_q(c8)
| ! [X2] : big_q(X2)
| big_q(c4)
| ! [Y] : ~ big_p(Y)
| big_p(c3) ),
inference(miniscoping,[status(thm)],[f53]) ).
fof(f234,plain,
! [X0,X1,X2,X3] :
( big_q(X3)
| big_p(c9)
| big_q(X2)
| ~ big_q(c8)
| big_q(X1)
| big_q(c4)
| ~ big_p(X0)
| big_p(c3) ),
inference(cnf_transformation,[status(thm)],[f233]) ).
fof(f235,plain,
( ~ big_q(c10)
| ! [X5] : ~ big_p(X5)
| ! [Y1] : big_q(Y1)
| ~ big_q(c8)
| ! [X2] : big_q(X2)
| big_q(c4)
| ! [Y] : ~ big_p(Y)
| big_p(c3) ),
inference(miniscoping,[status(thm)],[f54]) ).
fof(f236,plain,
! [X0,X1,X2,X3] :
( ~ big_q(c10)
| ~ big_p(X3)
| big_q(X2)
| ~ big_q(c8)
| big_q(X1)
| big_q(c4)
| ~ big_p(X0)
| big_p(c3) ),
inference(cnf_transformation,[status(thm)],[f235]) ).
fof(f237,plain,
( ! [X4] : big_q(X4)
| big_p(c9)
| ! [Y1] : ~ big_q(Y1)
| big_q(c8)
| ! [X2] : big_q(X2)
| big_q(c4)
| ! [Y] : ~ big_p(Y)
| big_p(c3) ),
inference(miniscoping,[status(thm)],[f55]) ).
fof(f238,plain,
! [X0,X1,X2,X3] :
( big_q(X3)
| big_p(c9)
| ~ big_q(X2)
| big_q(c8)
| big_q(X1)
| big_q(c4)
| ~ big_p(X0)
| big_p(c3) ),
inference(cnf_transformation,[status(thm)],[f237]) ).
fof(f239,plain,
( ~ big_q(c10)
| ! [X5] : ~ big_p(X5)
| ! [Y1] : ~ big_q(Y1)
| big_q(c8)
| ! [X2] : big_q(X2)
| big_q(c4)
| ! [Y] : ~ big_p(Y)
| big_p(c3) ),
inference(miniscoping,[status(thm)],[f56]) ).
fof(f240,plain,
! [X0,X1,X2,X3] :
( ~ big_q(c10)
| ~ big_p(X3)
| ~ big_q(X2)
| big_q(c8)
| big_q(X1)
| big_q(c4)
| ~ big_p(X0)
| big_p(c3) ),
inference(cnf_transformation,[status(thm)],[f239]) ).
fof(f241,plain,
( ! [W1] : big_q(W1)
| ! [U1] : ~ big_p(U1)
| ! [X1] :
( big_q(f2(X1))
| big_q(X1)
| ~ big_q(c5)
| ! [X3] : ~ big_q(X3)
| ! [Y] : ~ big_p(Y)
| big_p(c3) ) ),
inference(miniscoping,[status(thm)],[f57]) ).
fof(f242,plain,
! [X0,X1,X2,X3,X4] :
( big_q(X4)
| ~ big_p(X3)
| big_q(f2(X2))
| big_q(X2)
| ~ big_q(c5)
| ~ big_q(X1)
| ~ big_p(X0)
| big_p(c3) ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f243,plain,
( ~ big_q(c7)
| big_p(c6)
| ! [X1] :
( big_q(f2(X1))
| big_q(X1)
| ~ big_q(c5)
| ! [X3] : ~ big_q(X3)
| ! [Y] : ~ big_p(Y)
| big_p(c3) ) ),
inference(miniscoping,[status(thm)],[f58]) ).
fof(f244,plain,
! [X0,X1,X2] :
( ~ big_q(c7)
| big_p(c6)
| big_q(f2(X2))
| big_q(X2)
| ~ big_q(c5)
| ~ big_q(X1)
| ~ big_p(X0)
| big_p(c3) ),
inference(cnf_transformation,[status(thm)],[f243]) ).
fof(f245,plain,
( ! [W1] : big_q(W1)
| ! [U1] : ~ big_p(U1)
| ! [X1] :
( ~ big_q(f2(X1))
| ~ big_q(X1)
| ~ big_q(c5)
| ! [X3] : ~ big_q(X3)
| ! [Y] : ~ big_p(Y)
| big_p(c3) ) ),
inference(miniscoping,[status(thm)],[f59]) ).
fof(f246,plain,
! [X0,X1,X2,X3,X4] :
( big_q(X4)
| ~ big_p(X3)
| ~ big_q(f2(X2))
| ~ big_q(X2)
| ~ big_q(c5)
| ~ big_q(X1)
| ~ big_p(X0)
| big_p(c3) ),
inference(cnf_transformation,[status(thm)],[f245]) ).
fof(f247,plain,
( ~ big_q(c7)
| big_p(c6)
| ! [X1] :
( ~ big_q(f2(X1))
| ~ big_q(X1)
| ~ big_q(c5)
| ! [X3] : ~ big_q(X3)
| ! [Y] : ~ big_p(Y)
| big_p(c3) ) ),
inference(miniscoping,[status(thm)],[f60]) ).
fof(f248,plain,
! [X0,X1,X2] :
( ~ big_q(c7)
| big_p(c6)
| ~ big_q(f2(X2))
| ~ big_q(X2)
| ~ big_q(c5)
| ~ big_q(X1)
| ~ big_p(X0)
| big_p(c3) ),
inference(cnf_transformation,[status(thm)],[f247]) ).
fof(f249,plain,
( ! [X4] : big_q(X4)
| big_p(c9)
| ! [Y1] : big_q(Y1)
| ~ big_q(c8)
| ~ big_q(c5)
| ! [X3] : ~ big_q(X3)
| ! [Y] : ~ big_p(Y)
| big_p(c3) ),
inference(miniscoping,[status(thm)],[f61]) ).
fof(f250,plain,
! [X0,X1,X2,X3] :
( big_q(X3)
| big_p(c9)
| big_q(X2)
| ~ big_q(c8)
| ~ big_q(c5)
| ~ big_q(X1)
| ~ big_p(X0)
| big_p(c3) ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f251,plain,
( ~ big_q(c10)
| ! [X5] : ~ big_p(X5)
| ! [Y1] : big_q(Y1)
| ~ big_q(c8)
| ~ big_q(c5)
| ! [X3] : ~ big_q(X3)
| ! [Y] : ~ big_p(Y)
| big_p(c3) ),
inference(miniscoping,[status(thm)],[f62]) ).
fof(f252,plain,
! [X0,X1,X2,X3] :
( ~ big_q(c10)
| ~ big_p(X3)
| big_q(X2)
| ~ big_q(c8)
| ~ big_q(c5)
| ~ big_q(X1)
| ~ big_p(X0)
| big_p(c3) ),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f253,plain,
( ! [X4] : big_q(X4)
| big_p(c9)
| ! [Y1] : ~ big_q(Y1)
| big_q(c8)
| ~ big_q(c5)
| ! [X3] : ~ big_q(X3)
| ! [Y] : ~ big_p(Y)
| big_p(c3) ),
inference(miniscoping,[status(thm)],[f63]) ).
fof(f254,plain,
! [X0,X1,X2,X3] :
( big_q(X3)
| big_p(c9)
| ~ big_q(X2)
| big_q(c8)
| ~ big_q(c5)
| ~ big_q(X1)
| ~ big_p(X0)
| big_p(c3) ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f255,plain,
( ~ big_q(c10)
| ! [X5] : ~ big_p(X5)
| ! [Y1] : ~ big_q(Y1)
| big_q(c8)
| ~ big_q(c5)
| ! [X3] : ~ big_q(X3)
| ! [Y] : ~ big_p(Y)
| big_p(c3) ),
inference(miniscoping,[status(thm)],[f64]) ).
fof(f256,plain,
! [X0,X1,X2,X3] :
( ~ big_q(c10)
| ~ big_p(X3)
| ~ big_q(X2)
| big_q(c8)
| ~ big_q(c5)
| ~ big_q(X1)
| ~ big_p(X0)
| big_p(c3) ),
inference(cnf_transformation,[status(thm)],[f255]) ).
fof(f257,plain,
( ! [X14] : big_q(X14)
| ! [X13] : ~ big_p(X13)
| ! [X12] : big_q(X12)
| ~ big_q(c16)
| ! [X8] : big_q(X8)
| ! [X7] : ~ big_q(X7)
| ! [X6] : big_p(X6)
| ~ big_p(c11) ),
inference(miniscoping,[status(thm)],[f65]) ).
fof(f258,plain,
! [X0,X1,X2,X3,X4,X5] :
( big_q(X5)
| ~ big_p(X4)
| big_q(X3)
| ~ big_q(c16)
| big_q(X2)
| ~ big_q(X1)
| big_p(X0)
| ~ big_p(c11) ),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f259,plain,
( ~ big_q(c18)
| big_p(c17)
| ! [X12] : big_q(X12)
| ~ big_q(c16)
| ! [X8] : big_q(X8)
| ! [X7] : ~ big_q(X7)
| ! [X6] : big_p(X6)
| ~ big_p(c11) ),
inference(miniscoping,[status(thm)],[f66]) ).
fof(f260,plain,
! [X0,X1,X2,X3] :
( ~ big_q(c18)
| big_p(c17)
| big_q(X3)
| ~ big_q(c16)
| big_q(X2)
| ~ big_q(X1)
| big_p(X0)
| ~ big_p(c11) ),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f261,plain,
( ! [X14] : big_q(X14)
| ! [X13] : ~ big_p(X13)
| ! [X12] : ~ big_q(X12)
| big_q(c16)
| ! [X8] : big_q(X8)
| ! [X7] : ~ big_q(X7)
| ! [X6] : big_p(X6)
| ~ big_p(c11) ),
inference(miniscoping,[status(thm)],[f67]) ).
fof(f262,plain,
! [X0,X1,X2,X3,X4,X5] :
( big_q(X5)
| ~ big_p(X4)
| ~ big_q(X3)
| big_q(c16)
| big_q(X2)
| ~ big_q(X1)
| big_p(X0)
| ~ big_p(c11) ),
inference(cnf_transformation,[status(thm)],[f261]) ).
fof(f263,plain,
( ~ big_q(c18)
| big_p(c17)
| ! [X12] : ~ big_q(X12)
| big_q(c16)
| ! [X8] : big_q(X8)
| ! [X7] : ~ big_q(X7)
| ! [X6] : big_p(X6)
| ~ big_p(c11) ),
inference(miniscoping,[status(thm)],[f68]) ).
fof(f264,plain,
! [X0,X1,X2,X3] :
( ~ big_q(c18)
| big_p(c17)
| ~ big_q(X3)
| big_q(c16)
| big_q(X2)
| ~ big_q(X1)
| big_p(X0)
| ~ big_p(c11) ),
inference(cnf_transformation,[status(thm)],[f263]) ).
fof(f265,plain,
( ! [X16] : big_q(X16)
| big_p(c19)
| ! [X15] :
( big_q(f4(X15))
| big_q(X15)
| ! [X8] : big_q(X8)
| ! [X7] : ~ big_q(X7)
| ! [X6] : big_p(X6)
| ~ big_p(c11) ) ),
inference(miniscoping,[status(thm)],[f69]) ).
fof(f266,plain,
! [X0,X1,X2,X3,X4] :
( big_q(X4)
| big_p(c19)
| big_q(f4(X3))
| big_q(X3)
| big_q(X2)
| ~ big_q(X1)
| big_p(X0)
| ~ big_p(c11) ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f267,plain,
( ~ big_q(c20)
| ! [X17] : ~ big_p(X17)
| ! [X15] :
( big_q(f4(X15))
| big_q(X15)
| ! [X8] : big_q(X8)
| ! [X7] : ~ big_q(X7)
| ! [X6] : big_p(X6)
| ~ big_p(c11) ) ),
inference(miniscoping,[status(thm)],[f70]) ).
fof(f268,plain,
! [X0,X1,X2,X3,X4] :
( ~ big_q(c20)
| ~ big_p(X4)
| big_q(f4(X3))
| big_q(X3)
| big_q(X2)
| ~ big_q(X1)
| big_p(X0)
| ~ big_p(c11) ),
inference(cnf_transformation,[status(thm)],[f267]) ).
fof(f269,plain,
( ! [X16] : big_q(X16)
| big_p(c19)
| ! [X15] :
( ~ big_q(f4(X15))
| ~ big_q(X15)
| ! [X8] : big_q(X8)
| ! [X7] : ~ big_q(X7)
| ! [X6] : big_p(X6)
| ~ big_p(c11) ) ),
inference(miniscoping,[status(thm)],[f71]) ).
fof(f270,plain,
! [X0,X1,X2,X3,X4] :
( big_q(X4)
| big_p(c19)
| ~ big_q(f4(X3))
| ~ big_q(X3)
| big_q(X2)
| ~ big_q(X1)
| big_p(X0)
| ~ big_p(c11) ),
inference(cnf_transformation,[status(thm)],[f269]) ).
fof(f271,plain,
( ~ big_q(c20)
| ! [X17] : ~ big_p(X17)
| ! [X15] :
( ~ big_q(f4(X15))
| ~ big_q(X15)
| ! [X8] : big_q(X8)
| ! [X7] : ~ big_q(X7)
| ! [X6] : big_p(X6)
| ~ big_p(c11) ) ),
inference(miniscoping,[status(thm)],[f72]) ).
fof(f272,plain,
! [X0,X1,X2,X3,X4] :
( ~ big_q(c20)
| ~ big_p(X4)
| ~ big_q(f4(X3))
| ~ big_q(X3)
| big_q(X2)
| ~ big_q(X1)
| big_p(X0)
| ~ big_p(c11) ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f273,plain,
( ! [X14] : big_q(X14)
| ! [X13] : ~ big_p(X13)
| ! [X12] : big_q(X12)
| ~ big_q(c16)
| ~ big_q(c13)
| big_q(c12)
| ! [X6] : big_p(X6)
| ~ big_p(c11) ),
inference(miniscoping,[status(thm)],[f73]) ).
fof(f274,plain,
! [X0,X1,X2,X3] :
( big_q(X3)
| ~ big_p(X2)
| big_q(X1)
| ~ big_q(c16)
| ~ big_q(c13)
| big_q(c12)
| big_p(X0)
| ~ big_p(c11) ),
inference(cnf_transformation,[status(thm)],[f273]) ).
fof(f275,plain,
( ~ big_q(c18)
| big_p(c17)
| ! [X12] : big_q(X12)
| ~ big_q(c16)
| ~ big_q(c13)
| big_q(c12)
| ! [X6] : big_p(X6)
| ~ big_p(c11) ),
inference(miniscoping,[status(thm)],[f74]) ).
fof(f276,plain,
! [X0,X1] :
( ~ big_q(c18)
| big_p(c17)
| big_q(X1)
| ~ big_q(c16)
| ~ big_q(c13)
| big_q(c12)
| big_p(X0)
| ~ big_p(c11) ),
inference(cnf_transformation,[status(thm)],[f275]) ).
fof(f279,plain,
( ~ big_q(c18)
| big_p(c17)
| ! [X12] : ~ big_q(X12)
| big_q(c16)
| ~ big_q(c13)
| big_q(c12)
| ! [X6] : big_p(X6)
| ~ big_p(c11) ),
inference(miniscoping,[status(thm)],[f76]) ).
fof(f280,plain,
! [X0,X1] :
( ~ big_q(c18)
| big_p(c17)
| ~ big_q(X1)
| big_q(c16)
| ~ big_q(c13)
| big_q(c12)
| big_p(X0)
| ~ big_p(c11) ),
inference(cnf_transformation,[status(thm)],[f279]) ).
fof(f281,plain,
( ! [X16] : big_q(X16)
| big_p(c19)
| ! [X15] :
( big_q(f4(X15))
| big_q(X15)
| ~ big_q(c13)
| big_q(c12)
| ! [X6] : big_p(X6)
| ~ big_p(c11) ) ),
inference(miniscoping,[status(thm)],[f77]) ).
fof(f282,plain,
! [X0,X1,X2] :
( big_q(X2)
| big_p(c19)
| big_q(f4(X1))
| big_q(X1)
| ~ big_q(c13)
| big_q(c12)
| big_p(X0)
| ~ big_p(c11) ),
inference(cnf_transformation,[status(thm)],[f281]) ).
fof(f283,plain,
( ~ big_q(c20)
| ! [X17] : ~ big_p(X17)
| ! [X15] :
( big_q(f4(X15))
| big_q(X15)
| ~ big_q(c13)
| big_q(c12)
| ! [X6] : big_p(X6)
| ~ big_p(c11) ) ),
inference(miniscoping,[status(thm)],[f78]) ).
fof(f284,plain,
! [X0,X1,X2] :
( ~ big_q(c20)
| ~ big_p(X2)
| big_q(f4(X1))
| big_q(X1)
| ~ big_q(c13)
| big_q(c12)
| big_p(X0)
| ~ big_p(c11) ),
inference(cnf_transformation,[status(thm)],[f283]) ).
fof(f285,plain,
( ! [X16] : big_q(X16)
| big_p(c19)
| ! [X15] :
( ~ big_q(f4(X15))
| ~ big_q(X15)
| ~ big_q(c13)
| big_q(c12)
| ! [X6] : big_p(X6)
| ~ big_p(c11) ) ),
inference(miniscoping,[status(thm)],[f79]) ).
fof(f286,plain,
! [X0,X1,X2] :
( big_q(X2)
| big_p(c19)
| ~ big_q(f4(X1))
| ~ big_q(X1)
| ~ big_q(c13)
| big_q(c12)
| big_p(X0)
| ~ big_p(c11) ),
inference(cnf_transformation,[status(thm)],[f285]) ).
fof(f287,plain,
( ~ big_q(c20)
| ! [X17] : ~ big_p(X17)
| ! [X15] :
( ~ big_q(f4(X15))
| ~ big_q(X15)
| ~ big_q(c13)
| big_q(c12)
| ! [X6] : big_p(X6)
| ~ big_p(c11) ) ),
inference(miniscoping,[status(thm)],[f80]) ).
fof(f288,plain,
! [X0,X1,X2] :
( ~ big_q(c20)
| ~ big_p(X2)
| ~ big_q(f4(X1))
| ~ big_q(X1)
| ~ big_q(c13)
| big_q(c12)
| big_p(X0)
| ~ big_p(c11) ),
inference(cnf_transformation,[status(thm)],[f287]) ).
fof(f289,plain,
( ! [X14] : big_q(X14)
| ! [X13] : ~ big_p(X13)
| ! [X12] : big_q(X12)
| ~ big_q(c16)
| ! [X8] : big_q(X8)
| ! [X7] : ~ big_q(X7)
| ! [X6] : ~ big_p(X6)
| big_p(c11) ),
inference(miniscoping,[status(thm)],[f81]) ).
fof(f290,plain,
! [X0,X1,X2,X3,X4,X5] :
( big_q(X5)
| ~ big_p(X4)
| big_q(X3)
| ~ big_q(c16)
| big_q(X2)
| ~ big_q(X1)
| ~ big_p(X0)
| big_p(c11) ),
inference(cnf_transformation,[status(thm)],[f289]) ).
fof(f293,plain,
( ! [X14] : big_q(X14)
| ! [X13] : ~ big_p(X13)
| ! [X12] : ~ big_q(X12)
| big_q(c16)
| ! [X8] : big_q(X8)
| ! [X7] : ~ big_q(X7)
| ! [X6] : ~ big_p(X6)
| big_p(c11) ),
inference(miniscoping,[status(thm)],[f83]) ).
fof(f294,plain,
! [X0,X1,X2,X3,X4,X5] :
( big_q(X5)
| ~ big_p(X4)
| ~ big_q(X3)
| big_q(c16)
| big_q(X2)
| ~ big_q(X1)
| ~ big_p(X0)
| big_p(c11) ),
inference(cnf_transformation,[status(thm)],[f293]) ).
fof(f297,plain,
( ! [X16] : big_q(X16)
| big_p(c19)
| ! [X15] :
( big_q(f4(X15))
| big_q(X15)
| ! [X8] : big_q(X8)
| ! [X7] : ~ big_q(X7)
| ! [X6] : ~ big_p(X6)
| big_p(c11) ) ),
inference(miniscoping,[status(thm)],[f85]) ).
fof(f298,plain,
! [X0,X1,X2,X3,X4] :
( big_q(X4)
| big_p(c19)
| big_q(f4(X3))
| big_q(X3)
| big_q(X2)
| ~ big_q(X1)
| ~ big_p(X0)
| big_p(c11) ),
inference(cnf_transformation,[status(thm)],[f297]) ).
fof(f299,plain,
( ~ big_q(c20)
| ! [X17] : ~ big_p(X17)
| ! [X15] :
( big_q(f4(X15))
| big_q(X15)
| ! [X8] : big_q(X8)
| ! [X7] : ~ big_q(X7)
| ! [X6] : ~ big_p(X6)
| big_p(c11) ) ),
inference(miniscoping,[status(thm)],[f86]) ).
fof(f300,plain,
! [X0,X1,X2,X3,X4] :
( ~ big_q(c20)
| ~ big_p(X4)
| big_q(f4(X3))
| big_q(X3)
| big_q(X2)
| ~ big_q(X1)
| ~ big_p(X0)
| big_p(c11) ),
inference(cnf_transformation,[status(thm)],[f299]) ).
fof(f301,plain,
( ! [X16] : big_q(X16)
| big_p(c19)
| ! [X15] :
( ~ big_q(f4(X15))
| ~ big_q(X15)
| ! [X8] : big_q(X8)
| ! [X7] : ~ big_q(X7)
| ! [X6] : ~ big_p(X6)
| big_p(c11) ) ),
inference(miniscoping,[status(thm)],[f87]) ).
fof(f302,plain,
! [X0,X1,X2,X3,X4] :
( big_q(X4)
| big_p(c19)
| ~ big_q(f4(X3))
| ~ big_q(X3)
| big_q(X2)
| ~ big_q(X1)
| ~ big_p(X0)
| big_p(c11) ),
inference(cnf_transformation,[status(thm)],[f301]) ).
fof(f303,plain,
( ~ big_q(c20)
| ! [X17] : ~ big_p(X17)
| ! [X15] :
( ~ big_q(f4(X15))
| ~ big_q(X15)
| ! [X8] : big_q(X8)
| ! [X7] : ~ big_q(X7)
| ! [X6] : ~ big_p(X6)
| big_p(c11) ) ),
inference(miniscoping,[status(thm)],[f88]) ).
fof(f304,plain,
! [X0,X1,X2,X3,X4] :
( ~ big_q(c20)
| ~ big_p(X4)
| ~ big_q(f4(X3))
| ~ big_q(X3)
| big_q(X2)
| ~ big_q(X1)
| ~ big_p(X0)
| big_p(c11) ),
inference(cnf_transformation,[status(thm)],[f303]) ).
fof(f305,plain,
( ! [X14] : big_q(X14)
| ! [X13] : ~ big_p(X13)
| ! [X12] : big_q(X12)
| ~ big_q(c16)
| ~ big_q(c13)
| big_q(c12)
| ! [X6] : ~ big_p(X6)
| big_p(c11) ),
inference(miniscoping,[status(thm)],[f89]) ).
fof(f306,plain,
! [X0,X1,X2,X3] :
( big_q(X3)
| ~ big_p(X2)
| big_q(X1)
| ~ big_q(c16)
| ~ big_q(c13)
| big_q(c12)
| ~ big_p(X0)
| big_p(c11) ),
inference(cnf_transformation,[status(thm)],[f305]) ).
fof(f311,plain,
( ~ big_q(c18)
| big_p(c17)
| ! [X12] : ~ big_q(X12)
| big_q(c16)
| ~ big_q(c13)
| big_q(c12)
| ! [X6] : ~ big_p(X6)
| big_p(c11) ),
inference(miniscoping,[status(thm)],[f92]) ).
fof(f312,plain,
! [X0,X1] :
( ~ big_q(c18)
| big_p(c17)
| ~ big_q(X1)
| big_q(c16)
| ~ big_q(c13)
| big_q(c12)
| ~ big_p(X0)
| big_p(c11) ),
inference(cnf_transformation,[status(thm)],[f311]) ).
fof(f313,plain,
( ! [X16] : big_q(X16)
| big_p(c19)
| ! [X15] :
( big_q(f4(X15))
| big_q(X15)
| ~ big_q(c13)
| big_q(c12)
| ! [X6] : ~ big_p(X6)
| big_p(c11) ) ),
inference(miniscoping,[status(thm)],[f93]) ).
fof(f314,plain,
! [X0,X1,X2] :
( big_q(X2)
| big_p(c19)
| big_q(f4(X1))
| big_q(X1)
| ~ big_q(c13)
| big_q(c12)
| ~ big_p(X0)
| big_p(c11) ),
inference(cnf_transformation,[status(thm)],[f313]) ).
fof(f315,plain,
( ~ big_q(c20)
| ! [X17] : ~ big_p(X17)
| ! [X15] :
( big_q(f4(X15))
| big_q(X15)
| ~ big_q(c13)
| big_q(c12)
| ! [X6] : ~ big_p(X6)
| big_p(c11) ) ),
inference(miniscoping,[status(thm)],[f94]) ).
fof(f316,plain,
! [X0,X1,X2] :
( ~ big_q(c20)
| ~ big_p(X2)
| big_q(f4(X1))
| big_q(X1)
| ~ big_q(c13)
| big_q(c12)
| ~ big_p(X0)
| big_p(c11) ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f317,plain,
( ! [X16] : big_q(X16)
| big_p(c19)
| ! [X15] :
( ~ big_q(f4(X15))
| ~ big_q(X15)
| ~ big_q(c13)
| big_q(c12)
| ! [X6] : ~ big_p(X6)
| big_p(c11) ) ),
inference(miniscoping,[status(thm)],[f95]) ).
fof(f318,plain,
! [X0,X1,X2] :
( big_q(X2)
| big_p(c19)
| ~ big_q(f4(X1))
| ~ big_q(X1)
| ~ big_q(c13)
| big_q(c12)
| ~ big_p(X0)
| big_p(c11) ),
inference(cnf_transformation,[status(thm)],[f317]) ).
fof(f319,plain,
( ~ big_q(c20)
| ! [X17] : ~ big_p(X17)
| ! [X15] :
( ~ big_q(f4(X15))
| ~ big_q(X15)
| ~ big_q(c13)
| big_q(c12)
| ! [X6] : ~ big_p(X6)
| big_p(c11) ) ),
inference(miniscoping,[status(thm)],[f96]) ).
fof(f320,plain,
! [X0,X1,X2] :
( ~ big_q(c20)
| ~ big_p(X2)
| ~ big_q(f4(X1))
| ~ big_q(X1)
| ~ big_q(c13)
| big_q(c12)
| ~ big_p(X0)
| big_p(c11) ),
inference(cnf_transformation,[status(thm)],[f319]) ).
fof(f321,plain,
( ! [X14] : big_q(X14)
| ! [X13] : ~ big_p(X13)
| ! [X12] : big_q(X12)
| ~ big_q(c16)
| ! [X10] : big_q(X10)
| big_q(c14)
| ! [X9] :
( big_p(f3(X9))
| big_p(X9) ) ),
inference(miniscoping,[status(thm)],[f97]) ).
fof(f322,plain,
! [X0,X1,X2,X3,X4] :
( big_q(X4)
| ~ big_p(X3)
| big_q(X2)
| ~ big_q(c16)
| big_q(X1)
| big_q(c14)
| big_p(f3(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f321]) ).
fof(f323,plain,
( ~ big_q(c18)
| big_p(c17)
| ! [X12] : big_q(X12)
| ~ big_q(c16)
| ! [X10] : big_q(X10)
| big_q(c14)
| ! [X9] :
( big_p(f3(X9))
| big_p(X9) ) ),
inference(miniscoping,[status(thm)],[f98]) ).
fof(f324,plain,
! [X0,X1,X2] :
( ~ big_q(c18)
| big_p(c17)
| big_q(X2)
| ~ big_q(c16)
| big_q(X1)
| big_q(c14)
| big_p(f3(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f323]) ).
fof(f325,plain,
( ! [X14] : big_q(X14)
| ! [X13] : ~ big_p(X13)
| ! [X12] : ~ big_q(X12)
| big_q(c16)
| ! [X10] : big_q(X10)
| big_q(c14)
| ! [X9] :
( big_p(f3(X9))
| big_p(X9) ) ),
inference(miniscoping,[status(thm)],[f99]) ).
fof(f326,plain,
! [X0,X1,X2,X3,X4] :
( big_q(X4)
| ~ big_p(X3)
| ~ big_q(X2)
| big_q(c16)
| big_q(X1)
| big_q(c14)
| big_p(f3(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f325]) ).
fof(f327,plain,
( ~ big_q(c18)
| big_p(c17)
| ! [X12] : ~ big_q(X12)
| big_q(c16)
| ! [X10] : big_q(X10)
| big_q(c14)
| ! [X9] :
( big_p(f3(X9))
| big_p(X9) ) ),
inference(miniscoping,[status(thm)],[f100]) ).
fof(f328,plain,
! [X0,X1,X2] :
( ~ big_q(c18)
| big_p(c17)
| ~ big_q(X2)
| big_q(c16)
| big_q(X1)
| big_q(c14)
| big_p(f3(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f327]) ).
fof(f329,plain,
( ! [X16] : big_q(X16)
| big_p(c19)
| ! [X15] :
( big_q(f4(X15))
| big_q(X15)
| ! [X10] : big_q(X10)
| big_q(c14)
| ! [X9] :
( big_p(f3(X9))
| big_p(X9) ) ) ),
inference(miniscoping,[status(thm)],[f101]) ).
fof(f330,plain,
! [X0,X1,X2,X3] :
( big_q(X3)
| big_p(c19)
| big_q(f4(X2))
| big_q(X2)
| big_q(X1)
| big_q(c14)
| big_p(f3(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f331,plain,
( ~ big_q(c20)
| ! [X17] : ~ big_p(X17)
| ! [X15] :
( big_q(f4(X15))
| big_q(X15)
| ! [X10] : big_q(X10)
| big_q(c14)
| ! [X9] :
( big_p(f3(X9))
| big_p(X9) ) ) ),
inference(miniscoping,[status(thm)],[f102]) ).
fof(f332,plain,
! [X0,X1,X2,X3] :
( ~ big_q(c20)
| ~ big_p(X3)
| big_q(f4(X2))
| big_q(X2)
| big_q(X1)
| big_q(c14)
| big_p(f3(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f331]) ).
fof(f333,plain,
( ! [X16] : big_q(X16)
| big_p(c19)
| ! [X15] :
( ~ big_q(f4(X15))
| ~ big_q(X15)
| ! [X10] : big_q(X10)
| big_q(c14)
| ! [X9] :
( big_p(f3(X9))
| big_p(X9) ) ) ),
inference(miniscoping,[status(thm)],[f103]) ).
fof(f334,plain,
! [X0,X1,X2,X3] :
( big_q(X3)
| big_p(c19)
| ~ big_q(f4(X2))
| ~ big_q(X2)
| big_q(X1)
| big_q(c14)
| big_p(f3(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f333]) ).
fof(f335,plain,
( ~ big_q(c20)
| ! [X17] : ~ big_p(X17)
| ! [X15] :
( ~ big_q(f4(X15))
| ~ big_q(X15)
| ! [X10] : big_q(X10)
| big_q(c14)
| ! [X9] :
( big_p(f3(X9))
| big_p(X9) ) ) ),
inference(miniscoping,[status(thm)],[f104]) ).
fof(f336,plain,
! [X0,X1,X2,X3] :
( ~ big_q(c20)
| ~ big_p(X3)
| ~ big_q(f4(X2))
| ~ big_q(X2)
| big_q(X1)
| big_q(c14)
| big_p(f3(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f335]) ).
fof(f337,plain,
( ! [X14] : big_q(X14)
| ! [X13] : ~ big_p(X13)
| ! [X12] : big_q(X12)
| ~ big_q(c16)
| ~ big_q(c15)
| ! [X11] : ~ big_q(X11)
| ! [X9] :
( big_p(f3(X9))
| big_p(X9) ) ),
inference(miniscoping,[status(thm)],[f105]) ).
fof(f338,plain,
! [X0,X1,X2,X3,X4] :
( big_q(X4)
| ~ big_p(X3)
| big_q(X2)
| ~ big_q(c16)
| ~ big_q(c15)
| ~ big_q(X1)
| big_p(f3(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f337]) ).
fof(f339,plain,
( ~ big_q(c18)
| big_p(c17)
| ! [X12] : big_q(X12)
| ~ big_q(c16)
| ~ big_q(c15)
| ! [X11] : ~ big_q(X11)
| ! [X9] :
( big_p(f3(X9))
| big_p(X9) ) ),
inference(miniscoping,[status(thm)],[f106]) ).
fof(f340,plain,
! [X0,X1,X2] :
( ~ big_q(c18)
| big_p(c17)
| big_q(X2)
| ~ big_q(c16)
| ~ big_q(c15)
| ~ big_q(X1)
| big_p(f3(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f339]) ).
fof(f341,plain,
( ! [X14] : big_q(X14)
| ! [X13] : ~ big_p(X13)
| ! [X12] : ~ big_q(X12)
| big_q(c16)
| ~ big_q(c15)
| ! [X11] : ~ big_q(X11)
| ! [X9] :
( big_p(f3(X9))
| big_p(X9) ) ),
inference(miniscoping,[status(thm)],[f107]) ).
fof(f342,plain,
! [X0,X1,X2,X3,X4] :
( big_q(X4)
| ~ big_p(X3)
| ~ big_q(X2)
| big_q(c16)
| ~ big_q(c15)
| ~ big_q(X1)
| big_p(f3(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f341]) ).
fof(f343,plain,
( ~ big_q(c18)
| big_p(c17)
| ! [X12] : ~ big_q(X12)
| big_q(c16)
| ~ big_q(c15)
| ! [X11] : ~ big_q(X11)
| ! [X9] :
( big_p(f3(X9))
| big_p(X9) ) ),
inference(miniscoping,[status(thm)],[f108]) ).
fof(f344,plain,
! [X0,X1,X2] :
( ~ big_q(c18)
| big_p(c17)
| ~ big_q(X2)
| big_q(c16)
| ~ big_q(c15)
| ~ big_q(X1)
| big_p(f3(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f343]) ).
fof(f345,plain,
( ! [X16] : big_q(X16)
| big_p(c19)
| ! [X15] :
( big_q(f4(X15))
| big_q(X15)
| ~ big_q(c15)
| ! [X11] : ~ big_q(X11)
| ! [X9] :
( big_p(f3(X9))
| big_p(X9) ) ) ),
inference(miniscoping,[status(thm)],[f109]) ).
fof(f346,plain,
! [X0,X1,X2,X3] :
( big_q(X3)
| big_p(c19)
| big_q(f4(X2))
| big_q(X2)
| ~ big_q(c15)
| ~ big_q(X1)
| big_p(f3(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f345]) ).
fof(f347,plain,
( ~ big_q(c20)
| ! [X17] : ~ big_p(X17)
| ! [X15] :
( big_q(f4(X15))
| big_q(X15)
| ~ big_q(c15)
| ! [X11] : ~ big_q(X11)
| ! [X9] :
( big_p(f3(X9))
| big_p(X9) ) ) ),
inference(miniscoping,[status(thm)],[f110]) ).
fof(f348,plain,
! [X0,X1,X2,X3] :
( ~ big_q(c20)
| ~ big_p(X3)
| big_q(f4(X2))
| big_q(X2)
| ~ big_q(c15)
| ~ big_q(X1)
| big_p(f3(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f347]) ).
fof(f349,plain,
( ! [X16] : big_q(X16)
| big_p(c19)
| ! [X15] :
( ~ big_q(f4(X15))
| ~ big_q(X15)
| ~ big_q(c15)
| ! [X11] : ~ big_q(X11)
| ! [X9] :
( big_p(f3(X9))
| big_p(X9) ) ) ),
inference(miniscoping,[status(thm)],[f111]) ).
fof(f350,plain,
! [X0,X1,X2,X3] :
( big_q(X3)
| big_p(c19)
| ~ big_q(f4(X2))
| ~ big_q(X2)
| ~ big_q(c15)
| ~ big_q(X1)
| big_p(f3(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f349]) ).
fof(f351,plain,
( ~ big_q(c20)
| ! [X17] : ~ big_p(X17)
| ! [X15] :
( ~ big_q(f4(X15))
| ~ big_q(X15)
| ~ big_q(c15)
| ! [X11] : ~ big_q(X11)
| ! [X9] :
( big_p(f3(X9))
| big_p(X9) ) ) ),
inference(miniscoping,[status(thm)],[f112]) ).
fof(f352,plain,
! [X0,X1,X2,X3] :
( ~ big_q(c20)
| ~ big_p(X3)
| ~ big_q(f4(X2))
| ~ big_q(X2)
| ~ big_q(c15)
| ~ big_q(X1)
| big_p(f3(X0))
| big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f351]) ).
fof(f353,plain,
( ! [X14] : big_q(X14)
| ! [X13] : ~ big_p(X13)
| ! [X12] : big_q(X12)
| ~ big_q(c16)
| ! [X10] : big_q(X10)
| big_q(c14)
| ! [X9] :
( ~ big_p(f3(X9))
| ~ big_p(X9) ) ),
inference(miniscoping,[status(thm)],[f113]) ).
fof(f354,plain,
! [X0,X1,X2,X3,X4] :
( big_q(X4)
| ~ big_p(X3)
| big_q(X2)
| ~ big_q(c16)
| big_q(X1)
| big_q(c14)
| ~ big_p(f3(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f353]) ).
fof(f355,plain,
( ~ big_q(c18)
| big_p(c17)
| ! [X12] : big_q(X12)
| ~ big_q(c16)
| ! [X10] : big_q(X10)
| big_q(c14)
| ! [X9] :
( ~ big_p(f3(X9))
| ~ big_p(X9) ) ),
inference(miniscoping,[status(thm)],[f114]) ).
fof(f356,plain,
! [X0,X1,X2] :
( ~ big_q(c18)
| big_p(c17)
| big_q(X2)
| ~ big_q(c16)
| big_q(X1)
| big_q(c14)
| ~ big_p(f3(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f355]) ).
fof(f357,plain,
( ! [X14] : big_q(X14)
| ! [X13] : ~ big_p(X13)
| ! [X12] : ~ big_q(X12)
| big_q(c16)
| ! [X10] : big_q(X10)
| big_q(c14)
| ! [X9] :
( ~ big_p(f3(X9))
| ~ big_p(X9) ) ),
inference(miniscoping,[status(thm)],[f115]) ).
fof(f358,plain,
! [X0,X1,X2,X3,X4] :
( big_q(X4)
| ~ big_p(X3)
| ~ big_q(X2)
| big_q(c16)
| big_q(X1)
| big_q(c14)
| ~ big_p(f3(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f357]) ).
fof(f359,plain,
( ~ big_q(c18)
| big_p(c17)
| ! [X12] : ~ big_q(X12)
| big_q(c16)
| ! [X10] : big_q(X10)
| big_q(c14)
| ! [X9] :
( ~ big_p(f3(X9))
| ~ big_p(X9) ) ),
inference(miniscoping,[status(thm)],[f116]) ).
fof(f360,plain,
! [X0,X1,X2] :
( ~ big_q(c18)
| big_p(c17)
| ~ big_q(X2)
| big_q(c16)
| big_q(X1)
| big_q(c14)
| ~ big_p(f3(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f359]) ).
fof(f361,plain,
( ! [X16] : big_q(X16)
| big_p(c19)
| ! [X15] :
( big_q(f4(X15))
| big_q(X15)
| ! [X10] : big_q(X10)
| big_q(c14)
| ! [X9] :
( ~ big_p(f3(X9))
| ~ big_p(X9) ) ) ),
inference(miniscoping,[status(thm)],[f117]) ).
fof(f362,plain,
! [X0,X1,X2,X3] :
( big_q(X3)
| big_p(c19)
| big_q(f4(X2))
| big_q(X2)
| big_q(X1)
| big_q(c14)
| ~ big_p(f3(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f361]) ).
fof(f363,plain,
( ~ big_q(c20)
| ! [X17] : ~ big_p(X17)
| ! [X15] :
( big_q(f4(X15))
| big_q(X15)
| ! [X10] : big_q(X10)
| big_q(c14)
| ! [X9] :
( ~ big_p(f3(X9))
| ~ big_p(X9) ) ) ),
inference(miniscoping,[status(thm)],[f118]) ).
fof(f364,plain,
! [X0,X1,X2,X3] :
( ~ big_q(c20)
| ~ big_p(X3)
| big_q(f4(X2))
| big_q(X2)
| big_q(X1)
| big_q(c14)
| ~ big_p(f3(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f363]) ).
fof(f365,plain,
( ! [X16] : big_q(X16)
| big_p(c19)
| ! [X15] :
( ~ big_q(f4(X15))
| ~ big_q(X15)
| ! [X10] : big_q(X10)
| big_q(c14)
| ! [X9] :
( ~ big_p(f3(X9))
| ~ big_p(X9) ) ) ),
inference(miniscoping,[status(thm)],[f119]) ).
fof(f366,plain,
! [X0,X1,X2,X3] :
( big_q(X3)
| big_p(c19)
| ~ big_q(f4(X2))
| ~ big_q(X2)
| big_q(X1)
| big_q(c14)
| ~ big_p(f3(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f365]) ).
fof(f367,plain,
( ~ big_q(c20)
| ! [X17] : ~ big_p(X17)
| ! [X15] :
( ~ big_q(f4(X15))
| ~ big_q(X15)
| ! [X10] : big_q(X10)
| big_q(c14)
| ! [X9] :
( ~ big_p(f3(X9))
| ~ big_p(X9) ) ) ),
inference(miniscoping,[status(thm)],[f120]) ).
fof(f368,plain,
! [X0,X1,X2,X3] :
( ~ big_q(c20)
| ~ big_p(X3)
| ~ big_q(f4(X2))
| ~ big_q(X2)
| big_q(X1)
| big_q(c14)
| ~ big_p(f3(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f367]) ).
fof(f369,plain,
( ! [X14] : big_q(X14)
| ! [X13] : ~ big_p(X13)
| ! [X12] : big_q(X12)
| ~ big_q(c16)
| ~ big_q(c15)
| ! [X11] : ~ big_q(X11)
| ! [X9] :
( ~ big_p(f3(X9))
| ~ big_p(X9) ) ),
inference(miniscoping,[status(thm)],[f121]) ).
fof(f370,plain,
! [X0,X1,X2,X3,X4] :
( big_q(X4)
| ~ big_p(X3)
| big_q(X2)
| ~ big_q(c16)
| ~ big_q(c15)
| ~ big_q(X1)
| ~ big_p(f3(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f371,plain,
( ~ big_q(c18)
| big_p(c17)
| ! [X12] : big_q(X12)
| ~ big_q(c16)
| ~ big_q(c15)
| ! [X11] : ~ big_q(X11)
| ! [X9] :
( ~ big_p(f3(X9))
| ~ big_p(X9) ) ),
inference(miniscoping,[status(thm)],[f122]) ).
fof(f372,plain,
! [X0,X1,X2] :
( ~ big_q(c18)
| big_p(c17)
| big_q(X2)
| ~ big_q(c16)
| ~ big_q(c15)
| ~ big_q(X1)
| ~ big_p(f3(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f373,plain,
( ! [X14] : big_q(X14)
| ! [X13] : ~ big_p(X13)
| ! [X12] : ~ big_q(X12)
| big_q(c16)
| ~ big_q(c15)
| ! [X11] : ~ big_q(X11)
| ! [X9] :
( ~ big_p(f3(X9))
| ~ big_p(X9) ) ),
inference(miniscoping,[status(thm)],[f123]) ).
fof(f374,plain,
! [X0,X1,X2,X3,X4] :
( big_q(X4)
| ~ big_p(X3)
| ~ big_q(X2)
| big_q(c16)
| ~ big_q(c15)
| ~ big_q(X1)
| ~ big_p(f3(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f375,plain,
( ~ big_q(c18)
| big_p(c17)
| ! [X12] : ~ big_q(X12)
| big_q(c16)
| ~ big_q(c15)
| ! [X11] : ~ big_q(X11)
| ! [X9] :
( ~ big_p(f3(X9))
| ~ big_p(X9) ) ),
inference(miniscoping,[status(thm)],[f124]) ).
fof(f376,plain,
! [X0,X1,X2] :
( ~ big_q(c18)
| big_p(c17)
| ~ big_q(X2)
| big_q(c16)
| ~ big_q(c15)
| ~ big_q(X1)
| ~ big_p(f3(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f375]) ).
fof(f377,plain,
( ! [X16] : big_q(X16)
| big_p(c19)
| ! [X15] :
( big_q(f4(X15))
| big_q(X15)
| ~ big_q(c15)
| ! [X11] : ~ big_q(X11)
| ! [X9] :
( ~ big_p(f3(X9))
| ~ big_p(X9) ) ) ),
inference(miniscoping,[status(thm)],[f125]) ).
fof(f378,plain,
! [X0,X1,X2,X3] :
( big_q(X3)
| big_p(c19)
| big_q(f4(X2))
| big_q(X2)
| ~ big_q(c15)
| ~ big_q(X1)
| ~ big_p(f3(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f377]) ).
fof(f379,plain,
( ~ big_q(c20)
| ! [X17] : ~ big_p(X17)
| ! [X15] :
( big_q(f4(X15))
| big_q(X15)
| ~ big_q(c15)
| ! [X11] : ~ big_q(X11)
| ! [X9] :
( ~ big_p(f3(X9))
| ~ big_p(X9) ) ) ),
inference(miniscoping,[status(thm)],[f126]) ).
fof(f380,plain,
! [X0,X1,X2,X3] :
( ~ big_q(c20)
| ~ big_p(X3)
| big_q(f4(X2))
| big_q(X2)
| ~ big_q(c15)
| ~ big_q(X1)
| ~ big_p(f3(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f379]) ).
fof(f381,plain,
( ! [X16] : big_q(X16)
| big_p(c19)
| ! [X15] :
( ~ big_q(f4(X15))
| ~ big_q(X15)
| ~ big_q(c15)
| ! [X11] : ~ big_q(X11)
| ! [X9] :
( ~ big_p(f3(X9))
| ~ big_p(X9) ) ) ),
inference(miniscoping,[status(thm)],[f127]) ).
fof(f382,plain,
! [X0,X1,X2,X3] :
( big_q(X3)
| big_p(c19)
| ~ big_q(f4(X2))
| ~ big_q(X2)
| ~ big_q(c15)
| ~ big_q(X1)
| ~ big_p(f3(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f381]) ).
fof(f383,plain,
( ~ big_q(c20)
| ! [X17] : ~ big_p(X17)
| ! [X15] :
( ~ big_q(f4(X15))
| ~ big_q(X15)
| ~ big_q(c15)
| ! [X11] : ~ big_q(X11)
| ! [X9] :
( ~ big_p(f3(X9))
| ~ big_p(X9) ) ) ),
inference(miniscoping,[status(thm)],[f128]) ).
fof(f384,plain,
! [X0,X1,X2,X3] :
( ~ big_q(c20)
| ~ big_p(X3)
| ~ big_q(f4(X2))
| ~ big_q(X2)
| ~ big_q(c15)
| ~ big_q(X1)
| ~ big_p(f3(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f383]) ).
fof(f385,definition,
! [X0] :
( sQ0_spl
<=> ( big_p(f1(X0))
| big_p(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f386,plain,
! [X0] :
( ~ sQ0_spl
| big_p(f1(X0))
| big_p(X0) ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f388,definition,
! [X1] :
( sQ1_spl
<=> ~ big_q(X1) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f389,plain,
! [X0] :
( ~ sQ1_spl
| ~ big_q(X0) ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f391,definition,
! [X2] :
( sQ2_spl
<=> big_q(X2) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f392,plain,
! [X0] :
( ~ sQ2_spl
| big_q(X0) ),
inference(component_clause,[status(thm)],[f391]) ).
fof(f394,definition,
! [X3] :
( sQ3_spl
<=> ( big_q(f2(X3))
| big_q(X3) ) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f395,plain,
! [X0] :
( ~ sQ3_spl
| big_q(f2(X0))
| big_q(X0) ),
inference(component_clause,[status(thm)],[f394]) ).
fof(f397,definition,
! [X4] :
( sQ4_spl
<=> ~ big_p(X4) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f398,plain,
! [X0] :
( ~ sQ4_spl
| ~ big_p(X0) ),
inference(component_clause,[status(thm)],[f397]) ).
fof(f400,plain,
( sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f130,f385,f388,f391,f394,f397]) ).
fof(f401,definition,
( sQ5_spl
<=> big_p(c6) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f402,plain,
( ~ sQ5_spl
| big_p(c6) ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f404,definition,
( sQ6_spl
<=> big_q(c7) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f406,plain,
( sQ6_spl
| ~ big_q(c7) ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f407,plain,
( ~ sQ6_spl
| sQ5_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f132,f385,f388,f391,f394,f401,f404]) ).
fof(f408,definition,
! [X3] :
( sQ7_spl
<=> ( ~ big_q(f2(X3))
| ~ big_q(X3) ) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f409,plain,
! [X0] :
( ~ sQ7_spl
| ~ big_q(f2(X0))
| ~ big_q(X0) ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,plain,
( sQ4_spl
| sQ7_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f134,f385,f388,f391,f408,f397]) ).
fof(f412,plain,
( ~ sQ6_spl
| sQ5_spl
| sQ7_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f136,f385,f388,f391,f408,f401,f404]) ).
fof(f413,definition,
( sQ8_spl
<=> big_q(c8) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f416,definition,
( sQ9_spl
<=> big_p(c9) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f417,plain,
( ~ sQ9_spl
| big_p(c9) ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f419,plain,
( sQ9_spl
| ~ sQ8_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f138,f385,f388,f391,f413,f416]) ).
fof(f420,definition,
( sQ10_spl
<=> big_q(c10) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f422,plain,
( sQ10_spl
| ~ big_q(c10) ),
inference(component_clause,[status(thm)],[f420]) ).
fof(f423,plain,
( ~ sQ10_spl
| sQ4_spl
| ~ sQ8_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f140,f385,f388,f391,f413,f397,f420]) ).
fof(f424,plain,
( sQ9_spl
| sQ8_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f142,f385,f388,f391,f413,f416]) ).
fof(f425,plain,
( ~ sQ10_spl
| sQ4_spl
| sQ8_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f144,f385,f388,f391,f413,f397,f420]) ).
fof(f426,definition,
( sQ11_spl
<=> big_q(c1) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f427,plain,
( ~ sQ11_spl
| big_q(c1) ),
inference(component_clause,[status(thm)],[f426]) ).
fof(f429,definition,
( sQ12_spl
<=> big_q(c2) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f431,plain,
( sQ12_spl
| ~ big_q(c2) ),
inference(component_clause,[status(thm)],[f429]) ).
fof(f432,plain,
( sQ2_spl
| sQ4_spl
| sQ3_spl
| ~ sQ12_spl
| sQ11_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f146,f385,f426,f429,f394,f397,f391]) ).
fof(f433,plain,
( ~ sQ6_spl
| sQ5_spl
| sQ3_spl
| ~ sQ12_spl
| sQ11_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f148,f385,f426,f429,f394,f401,f404]) ).
fof(f434,plain,
( sQ2_spl
| sQ4_spl
| sQ7_spl
| ~ sQ12_spl
| sQ11_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f150,f385,f426,f429,f408,f397,f391]) ).
fof(f435,plain,
( ~ sQ6_spl
| sQ5_spl
| sQ7_spl
| ~ sQ12_spl
| sQ11_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f152,f385,f426,f429,f408,f401,f404]) ).
fof(f436,plain,
( sQ9_spl
| sQ2_spl
| ~ sQ8_spl
| ~ sQ12_spl
| sQ11_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f154,f385,f426,f429,f413,f391,f416]) ).
fof(f437,plain,
( ~ sQ10_spl
| sQ4_spl
| sQ2_spl
| ~ sQ8_spl
| ~ sQ12_spl
| sQ11_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f156,f385,f426,f429,f413,f391,f397,f420]) ).
fof(f439,plain,
( ~ sQ10_spl
| sQ4_spl
| sQ1_spl
| sQ8_spl
| ~ sQ12_spl
| sQ11_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f160,f385,f426,f429,f413,f388,f397,f420]) ).
fof(f440,definition,
! [X0] :
( sQ13_spl
<=> ( ~ big_p(f1(X0))
| ~ big_p(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f441,plain,
! [X0] :
( ~ sQ13_spl
| ~ big_p(f1(X0))
| ~ big_p(X0) ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,plain,
( sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f162,f440,f388,f391,f394,f397]) ).
fof(f444,plain,
( ~ sQ6_spl
| sQ5_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f164,f440,f388,f391,f394,f401,f404]) ).
fof(f445,plain,
( sQ4_spl
| sQ7_spl
| sQ2_spl
| sQ1_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f166,f440,f388,f391,f408,f397]) ).
fof(f446,plain,
( ~ sQ6_spl
| sQ5_spl
| sQ7_spl
| sQ2_spl
| sQ1_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f168,f440,f388,f391,f408,f401,f404]) ).
fof(f447,plain,
( sQ9_spl
| ~ sQ8_spl
| sQ2_spl
| sQ1_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f170,f440,f388,f391,f413,f416]) ).
fof(f448,plain,
( ~ sQ10_spl
| sQ4_spl
| ~ sQ8_spl
| sQ2_spl
| sQ1_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f172,f440,f388,f391,f413,f397,f420]) ).
fof(f449,plain,
( sQ9_spl
| sQ8_spl
| sQ2_spl
| sQ1_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f174,f440,f388,f391,f413,f416]) ).
fof(f450,plain,
( ~ sQ10_spl
| sQ4_spl
| sQ8_spl
| sQ2_spl
| sQ1_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f176,f440,f388,f391,f413,f397,f420]) ).
fof(f451,plain,
( sQ2_spl
| sQ4_spl
| sQ3_spl
| ~ sQ12_spl
| sQ11_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f178,f440,f426,f429,f394,f397,f391]) ).
fof(f452,plain,
( ~ sQ6_spl
| sQ5_spl
| sQ3_spl
| ~ sQ12_spl
| sQ11_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f180,f440,f426,f429,f394,f401,f404]) ).
fof(f453,plain,
( sQ2_spl
| sQ4_spl
| sQ7_spl
| ~ sQ12_spl
| sQ11_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f182,f440,f426,f429,f408,f397,f391]) ).
fof(f454,plain,
( ~ sQ6_spl
| sQ5_spl
| sQ7_spl
| ~ sQ12_spl
| sQ11_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f184,f440,f426,f429,f408,f401,f404]) ).
fof(f455,plain,
( sQ9_spl
| sQ2_spl
| ~ sQ8_spl
| ~ sQ12_spl
| sQ11_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f186,f440,f426,f429,f413,f391,f416]) ).
fof(f456,plain,
( ~ sQ10_spl
| sQ4_spl
| sQ2_spl
| ~ sQ8_spl
| ~ sQ12_spl
| sQ11_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f188,f440,f426,f429,f413,f391,f397,f420]) ).
fof(f458,plain,
( ~ sQ10_spl
| sQ4_spl
| sQ1_spl
| sQ8_spl
| ~ sQ12_spl
| sQ11_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f192,f440,f426,f429,f413,f388,f397,f420]) ).
fof(f459,definition,
( sQ14_spl
<=> big_p(c3) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f462,definition,
! [X0] :
( sQ15_spl
<=> big_p(X0) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f463,plain,
! [X0] :
( ~ sQ15_spl
| big_p(X0) ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f465,definition,
( sQ16_spl
<=> big_q(c4) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( ~ sQ16_spl
| big_q(c4) ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f468,plain,
( sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ16_spl
| sQ15_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f194,f459,f462,f465,f391,f394,f397]) ).
fof(f469,plain,
( ~ sQ6_spl
| sQ5_spl
| sQ3_spl
| sQ2_spl
| sQ16_spl
| sQ15_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f196,f459,f462,f465,f391,f394,f401,f404]) ).
fof(f470,plain,
( sQ4_spl
| sQ7_spl
| sQ2_spl
| sQ16_spl
| sQ15_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f198,f459,f462,f465,f391,f408,f397]) ).
fof(f471,plain,
( ~ sQ6_spl
| sQ5_spl
| sQ7_spl
| sQ2_spl
| sQ16_spl
| sQ15_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f200,f459,f462,f465,f391,f408,f401,f404]) ).
fof(f472,plain,
( sQ9_spl
| ~ sQ8_spl
| sQ2_spl
| sQ16_spl
| sQ15_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f202,f459,f462,f465,f391,f413,f416]) ).
fof(f473,plain,
( ~ sQ10_spl
| sQ4_spl
| ~ sQ8_spl
| sQ2_spl
| sQ16_spl
| sQ15_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f204,f459,f462,f465,f391,f413,f397,f420]) ).
fof(f474,plain,
( sQ9_spl
| sQ1_spl
| sQ8_spl
| sQ2_spl
| sQ16_spl
| sQ15_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f206,f459,f462,f465,f391,f413,f388,f416]) ).
fof(f475,plain,
( ~ sQ10_spl
| sQ4_spl
| sQ1_spl
| sQ8_spl
| sQ2_spl
| sQ16_spl
| sQ15_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f208,f459,f462,f465,f391,f413,f388,f397,f420]) ).
fof(f476,definition,
( sQ17_spl
<=> big_q(c5) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f478,plain,
( sQ17_spl
| ~ big_q(c5) ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,plain,
( sQ2_spl
| sQ4_spl
| sQ3_spl
| ~ sQ17_spl
| sQ1_spl
| sQ15_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f210,f459,f462,f388,f476,f394,f397,f391]) ).
fof(f480,plain,
( ~ sQ6_spl
| sQ5_spl
| sQ3_spl
| ~ sQ17_spl
| sQ1_spl
| sQ15_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f212,f459,f462,f388,f476,f394,f401,f404]) ).
fof(f481,plain,
( sQ2_spl
| sQ4_spl
| sQ7_spl
| ~ sQ17_spl
| sQ1_spl
| sQ15_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f214,f459,f462,f388,f476,f408,f397,f391]) ).
fof(f482,plain,
( ~ sQ6_spl
| sQ5_spl
| sQ7_spl
| ~ sQ17_spl
| sQ1_spl
| sQ15_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f216,f459,f462,f388,f476,f408,f401,f404]) ).
fof(f483,plain,
( sQ9_spl
| sQ2_spl
| ~ sQ8_spl
| ~ sQ17_spl
| sQ1_spl
| sQ15_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f218,f459,f462,f388,f476,f413,f391,f416]) ).
fof(f484,plain,
( ~ sQ10_spl
| sQ4_spl
| sQ2_spl
| ~ sQ8_spl
| ~ sQ17_spl
| sQ1_spl
| sQ15_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f220,f459,f462,f388,f476,f413,f391,f397,f420]) ).
fof(f485,plain,
( sQ2_spl
| sQ9_spl
| sQ8_spl
| ~ sQ17_spl
| sQ1_spl
| sQ15_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f222,f459,f462,f388,f476,f413,f416,f391]) ).
fof(f486,plain,
( ~ sQ10_spl
| sQ4_spl
| sQ8_spl
| ~ sQ17_spl
| sQ1_spl
| sQ15_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f224,f459,f462,f388,f476,f413,f397,f420]) ).
fof(f487,plain,
( sQ3_spl
| sQ2_spl
| sQ16_spl
| sQ4_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f226,f459,f397,f465,f391,f394]) ).
fof(f489,plain,
( sQ7_spl
| sQ2_spl
| sQ16_spl
| sQ4_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f230,f459,f397,f465,f391,f408]) ).
fof(f491,plain,
( sQ9_spl
| ~ sQ8_spl
| sQ2_spl
| sQ16_spl
| sQ4_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f234,f459,f397,f465,f391,f413,f416]) ).
fof(f492,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| sQ2_spl
| sQ16_spl
| sQ4_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f236,f459,f397,f465,f391,f413,f420]) ).
fof(f493,plain,
( sQ9_spl
| sQ1_spl
| sQ8_spl
| sQ2_spl
| sQ16_spl
| sQ4_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f238,f459,f397,f465,f391,f413,f388,f416]) ).
fof(f494,plain,
( ~ sQ10_spl
| sQ1_spl
| sQ8_spl
| sQ2_spl
| sQ16_spl
| sQ4_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f240,f459,f397,f465,f391,f413,f388,f420]) ).
fof(f495,plain,
( sQ2_spl
| sQ3_spl
| ~ sQ17_spl
| sQ1_spl
| sQ4_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f242,f459,f397,f388,f476,f394,f391]) ).
fof(f496,plain,
( ~ sQ6_spl
| sQ5_spl
| sQ3_spl
| ~ sQ17_spl
| sQ1_spl
| sQ4_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f244,f459,f397,f388,f476,f394,f401,f404]) ).
fof(f497,plain,
( sQ2_spl
| sQ7_spl
| ~ sQ17_spl
| sQ1_spl
| sQ4_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f246,f459,f397,f388,f476,f408,f391]) ).
fof(f498,plain,
( ~ sQ6_spl
| sQ5_spl
| sQ7_spl
| ~ sQ17_spl
| sQ1_spl
| sQ4_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f248,f459,f397,f388,f476,f408,f401,f404]) ).
fof(f499,plain,
( sQ9_spl
| sQ2_spl
| ~ sQ8_spl
| ~ sQ17_spl
| sQ1_spl
| sQ4_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f250,f459,f397,f388,f476,f413,f391,f416]) ).
fof(f500,plain,
( ~ sQ10_spl
| sQ2_spl
| ~ sQ8_spl
| ~ sQ17_spl
| sQ1_spl
| sQ4_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f252,f459,f397,f388,f476,f413,f391,f420]) ).
fof(f501,plain,
( sQ2_spl
| sQ9_spl
| sQ8_spl
| ~ sQ17_spl
| sQ1_spl
| sQ4_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f254,f459,f397,f388,f476,f413,f416,f391]) ).
fof(f502,plain,
( ~ sQ10_spl
| sQ8_spl
| ~ sQ17_spl
| sQ1_spl
| sQ4_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f256,f459,f397,f388,f476,f413,f420]) ).
fof(f503,definition,
( sQ18_spl
<=> big_p(c11) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f504,plain,
( ~ sQ18_spl
| big_p(c11) ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,definition,
( sQ19_spl
<=> big_q(c16) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f509,plain,
( sQ4_spl
| ~ sQ19_spl
| sQ2_spl
| sQ1_spl
| sQ15_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f258,f503,f462,f388,f391,f506,f397]) ).
fof(f510,definition,
( sQ20_spl
<=> big_p(c17) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f511,plain,
( ~ sQ20_spl
| big_p(c17) ),
inference(component_clause,[status(thm)],[f510]) ).
fof(f513,definition,
( sQ21_spl
<=> big_q(c18) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f515,plain,
( sQ21_spl
| ~ big_q(c18) ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f516,plain,
( ~ sQ21_spl
| sQ20_spl
| ~ sQ19_spl
| sQ2_spl
| sQ1_spl
| sQ15_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f260,f503,f462,f388,f391,f506,f510,f513]) ).
fof(f517,plain,
( sQ4_spl
| sQ19_spl
| sQ2_spl
| sQ1_spl
| sQ15_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f262,f503,f462,f388,f391,f506,f397]) ).
fof(f518,plain,
( ~ sQ21_spl
| sQ20_spl
| sQ19_spl
| sQ2_spl
| sQ1_spl
| sQ15_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f264,f503,f462,f388,f391,f506,f510,f513]) ).
fof(f519,definition,
! [X3] :
( sQ22_spl
<=> ( big_q(f4(X3))
| big_q(X3) ) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f520,plain,
! [X0] :
( ~ sQ22_spl
| big_q(f4(X0))
| big_q(X0) ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,definition,
( sQ23_spl
<=> big_p(c19) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f523,plain,
( ~ sQ23_spl
| big_p(c19) ),
inference(component_clause,[status(thm)],[f522]) ).
fof(f525,plain,
( sQ23_spl
| sQ22_spl
| sQ2_spl
| sQ1_spl
| sQ15_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f266,f503,f462,f388,f391,f519,f522]) ).
fof(f526,definition,
( sQ24_spl
<=> big_q(c20) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f528,plain,
( sQ24_spl
| ~ big_q(c20) ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,plain,
( ~ sQ24_spl
| sQ4_spl
| sQ22_spl
| sQ2_spl
| sQ1_spl
| sQ15_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f268,f503,f462,f388,f391,f519,f397,f526]) ).
fof(f530,definition,
! [X3] :
( sQ25_spl
<=> ( ~ big_q(f4(X3))
| ~ big_q(X3) ) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f531,plain,
! [X0] :
( ~ sQ25_spl
| ~ big_q(f4(X0))
| ~ big_q(X0) ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f533,plain,
( sQ23_spl
| sQ25_spl
| sQ2_spl
| sQ1_spl
| sQ15_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f270,f503,f462,f388,f391,f530,f522]) ).
fof(f534,plain,
( ~ sQ24_spl
| sQ4_spl
| sQ25_spl
| sQ2_spl
| sQ1_spl
| sQ15_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f272,f503,f462,f388,f391,f530,f397,f526]) ).
fof(f535,definition,
( sQ26_spl
<=> big_q(c12) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f536,plain,
( ~ sQ26_spl
| big_q(c12) ),
inference(component_clause,[status(thm)],[f535]) ).
fof(f538,definition,
( sQ27_spl
<=> big_q(c13) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f540,plain,
( sQ27_spl
| ~ big_q(c13) ),
inference(component_clause,[status(thm)],[f538]) ).
fof(f541,plain,
( sQ4_spl
| sQ2_spl
| ~ sQ19_spl
| ~ sQ27_spl
| sQ26_spl
| sQ15_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f274,f503,f462,f535,f538,f506,f391,f397]) ).
fof(f542,plain,
( ~ sQ21_spl
| sQ20_spl
| sQ2_spl
| ~ sQ19_spl
| ~ sQ27_spl
| sQ26_spl
| sQ15_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f276,f503,f462,f535,f538,f506,f391,f510,f513]) ).
fof(f544,plain,
( ~ sQ21_spl
| sQ20_spl
| sQ1_spl
| sQ19_spl
| ~ sQ27_spl
| sQ26_spl
| sQ15_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f280,f503,f462,f535,f538,f506,f388,f510,f513]) ).
fof(f545,plain,
( sQ2_spl
| sQ23_spl
| sQ22_spl
| ~ sQ27_spl
| sQ26_spl
| sQ15_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f282,f503,f462,f535,f538,f519,f522,f391]) ).
fof(f546,plain,
( ~ sQ24_spl
| sQ4_spl
| sQ22_spl
| ~ sQ27_spl
| sQ26_spl
| sQ15_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f284,f503,f462,f535,f538,f519,f397,f526]) ).
fof(f547,plain,
( sQ2_spl
| sQ23_spl
| sQ25_spl
| ~ sQ27_spl
| sQ26_spl
| sQ15_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f286,f503,f462,f535,f538,f530,f522,f391]) ).
fof(f548,plain,
( ~ sQ24_spl
| sQ4_spl
| sQ25_spl
| ~ sQ27_spl
| sQ26_spl
| sQ15_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f288,f503,f462,f535,f538,f530,f397,f526]) ).
fof(f549,plain,
( ~ sQ19_spl
| sQ2_spl
| sQ1_spl
| sQ4_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f290,f503,f397,f388,f391,f506]) ).
fof(f551,plain,
( sQ19_spl
| sQ2_spl
| sQ1_spl
| sQ4_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f294,f503,f397,f388,f391,f506]) ).
fof(f553,plain,
( sQ23_spl
| sQ22_spl
| sQ2_spl
| sQ1_spl
| sQ4_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f298,f503,f397,f388,f391,f519,f522]) ).
fof(f554,plain,
( ~ sQ24_spl
| sQ22_spl
| sQ2_spl
| sQ1_spl
| sQ4_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f300,f503,f397,f388,f391,f519,f526]) ).
fof(f555,plain,
( sQ23_spl
| sQ25_spl
| sQ2_spl
| sQ1_spl
| sQ4_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f302,f503,f397,f388,f391,f530,f522]) ).
fof(f556,plain,
( ~ sQ24_spl
| sQ25_spl
| sQ2_spl
| sQ1_spl
| sQ4_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f304,f503,f397,f388,f391,f530,f526]) ).
fof(f557,plain,
( sQ2_spl
| ~ sQ19_spl
| ~ sQ27_spl
| sQ26_spl
| sQ4_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f306,f503,f397,f535,f538,f506,f391]) ).
fof(f560,plain,
( ~ sQ21_spl
| sQ20_spl
| sQ1_spl
| sQ19_spl
| ~ sQ27_spl
| sQ26_spl
| sQ4_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f312,f503,f397,f535,f538,f506,f388,f510,f513]) ).
fof(f561,plain,
( sQ2_spl
| sQ23_spl
| sQ22_spl
| ~ sQ27_spl
| sQ26_spl
| sQ4_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f314,f503,f397,f535,f538,f519,f522,f391]) ).
fof(f562,plain,
( ~ sQ24_spl
| sQ22_spl
| ~ sQ27_spl
| sQ26_spl
| sQ4_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f316,f503,f397,f535,f538,f519,f526]) ).
fof(f563,plain,
( sQ2_spl
| sQ23_spl
| sQ25_spl
| ~ sQ27_spl
| sQ26_spl
| sQ4_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f318,f503,f397,f535,f538,f530,f522,f391]) ).
fof(f564,plain,
( ~ sQ24_spl
| sQ25_spl
| ~ sQ27_spl
| sQ26_spl
| sQ4_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f320,f503,f397,f535,f538,f530,f526]) ).
fof(f565,definition,
! [X0] :
( sQ28_spl
<=> ( big_p(f3(X0))
| big_p(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f566,plain,
! [X0] :
( ~ sQ28_spl
| big_p(f3(X0))
| big_p(X0) ),
inference(component_clause,[status(thm)],[f565]) ).
fof(f568,definition,
( sQ29_spl
<=> big_q(c14) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f569,plain,
( ~ sQ29_spl
| big_q(c14) ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f571,plain,
( sQ4_spl
| ~ sQ19_spl
| sQ2_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f322,f565,f568,f391,f506,f397]) ).
fof(f572,plain,
( ~ sQ21_spl
| sQ20_spl
| ~ sQ19_spl
| sQ2_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f324,f565,f568,f391,f506,f510,f513]) ).
fof(f573,plain,
( sQ4_spl
| sQ1_spl
| sQ19_spl
| sQ2_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f326,f565,f568,f391,f506,f388,f397]) ).
fof(f574,plain,
( ~ sQ21_spl
| sQ20_spl
| sQ1_spl
| sQ19_spl
| sQ2_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f328,f565,f568,f391,f506,f388,f510,f513]) ).
fof(f575,plain,
( sQ23_spl
| sQ22_spl
| sQ2_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f330,f565,f568,f391,f519,f522]) ).
fof(f576,plain,
( ~ sQ24_spl
| sQ4_spl
| sQ22_spl
| sQ2_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f332,f565,f568,f391,f519,f397,f526]) ).
fof(f577,plain,
( sQ23_spl
| sQ25_spl
| sQ2_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f334,f565,f568,f391,f530,f522]) ).
fof(f578,plain,
( ~ sQ24_spl
| sQ4_spl
| sQ25_spl
| sQ2_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f336,f565,f568,f391,f530,f397,f526]) ).
fof(f579,definition,
( sQ30_spl
<=> big_q(c15) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f581,plain,
( sQ30_spl
| ~ big_q(c15) ),
inference(component_clause,[status(thm)],[f579]) ).
fof(f582,plain,
( sQ4_spl
| sQ2_spl
| ~ sQ19_spl
| ~ sQ30_spl
| sQ1_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f338,f565,f388,f579,f506,f391,f397]) ).
fof(f583,plain,
( ~ sQ21_spl
| sQ20_spl
| sQ2_spl
| ~ sQ19_spl
| ~ sQ30_spl
| sQ1_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f340,f565,f388,f579,f506,f391,f510,f513]) ).
fof(f584,plain,
( sQ2_spl
| sQ4_spl
| sQ19_spl
| ~ sQ30_spl
| sQ1_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f342,f565,f388,f579,f506,f397,f391]) ).
fof(f585,plain,
( ~ sQ21_spl
| sQ20_spl
| sQ19_spl
| ~ sQ30_spl
| sQ1_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f344,f565,f388,f579,f506,f510,f513]) ).
fof(f586,plain,
( sQ2_spl
| sQ23_spl
| sQ22_spl
| ~ sQ30_spl
| sQ1_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f346,f565,f388,f579,f519,f522,f391]) ).
fof(f587,plain,
( ~ sQ24_spl
| sQ4_spl
| sQ22_spl
| ~ sQ30_spl
| sQ1_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f348,f565,f388,f579,f519,f397,f526]) ).
fof(f588,plain,
( sQ2_spl
| sQ23_spl
| sQ25_spl
| ~ sQ30_spl
| sQ1_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f350,f565,f388,f579,f530,f522,f391]) ).
fof(f589,plain,
( ~ sQ24_spl
| sQ4_spl
| sQ25_spl
| ~ sQ30_spl
| sQ1_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f352,f565,f388,f579,f530,f397,f526]) ).
fof(f590,definition,
! [X0] :
( sQ31_spl
<=> ( ~ big_p(f3(X0))
| ~ big_p(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f591,plain,
! [X0] :
( ~ sQ31_spl
| ~ big_p(f3(X0))
| ~ big_p(X0) ),
inference(component_clause,[status(thm)],[f590]) ).
fof(f593,plain,
( sQ4_spl
| ~ sQ19_spl
| sQ2_spl
| sQ29_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f354,f590,f568,f391,f506,f397]) ).
fof(f594,plain,
( ~ sQ21_spl
| sQ20_spl
| ~ sQ19_spl
| sQ2_spl
| sQ29_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f356,f590,f568,f391,f506,f510,f513]) ).
fof(f595,plain,
( sQ4_spl
| sQ1_spl
| sQ19_spl
| sQ2_spl
| sQ29_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f358,f590,f568,f391,f506,f388,f397]) ).
fof(f596,plain,
( ~ sQ21_spl
| sQ20_spl
| sQ1_spl
| sQ19_spl
| sQ2_spl
| sQ29_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f360,f590,f568,f391,f506,f388,f510,f513]) ).
fof(f597,plain,
( sQ23_spl
| sQ22_spl
| sQ2_spl
| sQ29_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f362,f590,f568,f391,f519,f522]) ).
fof(f598,plain,
( ~ sQ24_spl
| sQ4_spl
| sQ22_spl
| sQ2_spl
| sQ29_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f364,f590,f568,f391,f519,f397,f526]) ).
fof(f599,plain,
( sQ23_spl
| sQ25_spl
| sQ2_spl
| sQ29_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f366,f590,f568,f391,f530,f522]) ).
fof(f600,plain,
( ~ sQ24_spl
| sQ4_spl
| sQ25_spl
| sQ2_spl
| sQ29_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f368,f590,f568,f391,f530,f397,f526]) ).
fof(f601,plain,
( sQ4_spl
| sQ2_spl
| ~ sQ19_spl
| ~ sQ30_spl
| sQ1_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f370,f590,f388,f579,f506,f391,f397]) ).
fof(f602,plain,
( ~ sQ21_spl
| sQ20_spl
| sQ2_spl
| ~ sQ19_spl
| ~ sQ30_spl
| sQ1_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f372,f590,f388,f579,f506,f391,f510,f513]) ).
fof(f603,plain,
( sQ2_spl
| sQ4_spl
| sQ19_spl
| ~ sQ30_spl
| sQ1_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f374,f590,f388,f579,f506,f397,f391]) ).
fof(f604,plain,
( ~ sQ21_spl
| sQ20_spl
| sQ19_spl
| ~ sQ30_spl
| sQ1_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f376,f590,f388,f579,f506,f510,f513]) ).
fof(f605,plain,
( sQ2_spl
| sQ23_spl
| sQ22_spl
| ~ sQ30_spl
| sQ1_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f378,f590,f388,f579,f519,f522,f391]) ).
fof(f606,plain,
( ~ sQ24_spl
| sQ4_spl
| sQ22_spl
| ~ sQ30_spl
| sQ1_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f380,f590,f388,f579,f519,f397,f526]) ).
fof(f607,plain,
( sQ2_spl
| sQ23_spl
| sQ25_spl
| ~ sQ30_spl
| sQ1_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f382,f590,f388,f579,f530,f522,f391]) ).
fof(f608,plain,
( ~ sQ24_spl
| sQ4_spl
| sQ25_spl
| ~ sQ30_spl
| sQ1_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f384,f590,f388,f579,f530,f397,f526]) ).
fof(f609,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f389,f392]) ).
fof(f610,plain,
( ~ sQ1_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f609]) ).
fof(f611,plain,
( ~ sQ15_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f463,f398]) ).
fof(f612,plain,
( ~ sQ15_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f611]) ).
fof(f613,plain,
( ~ sQ26_spl
| ~ sQ1_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f536,f389]) ).
fof(f614,plain,
( ~ sQ11_spl
| ~ sQ1_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f427,f389]) ).
fof(f615,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f466,f389]) ).
fof(f616,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ1_spl
| big_q(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f395,f389]) ).
fof(f617,plain,
( ~ sQ29_spl
| ~ sQ1_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f569,f389]) ).
fof(f618,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ1_spl
| big_q(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f520,f389]) ).
fof(f619,plain,
( ~ sQ26_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f613]) ).
fof(f620,plain,
( sQ27_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f540,f392]) ).
fof(f621,plain,
( sQ27_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f620]) ).
fof(f622,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ15_spl
| ~ big_p(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f441,f463]) ).
fof(f623,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ15_spl
| ~ big_p(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f591,f463]) ).
fof(f624,plain,
( ~ sQ13_spl
| ~ sQ15_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f622,f397,f462,f440]) ).
fof(f625,plain,
( ~ sQ31_spl
| ~ sQ15_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f623,f397,f462,f590]) ).
fof(model,axiom,
( sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sQ3_spl
| ~ sQ4_spl
| sQ7_spl
| sQ9_spl
| ~ sQ10_spl
| ~ sQ13_spl
| sQ15_spl
| sQ18_spl
| sQ29_spl
| ~ sQ30_spl
| ~ sQ31_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN036-2 : TPTP v9.3.1. Bugfixed v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n010.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 10:39:40 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.38 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.09/0.38 % SZS output start Saturation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.051828 seconds
% 0.13/0.41 % CPU time: 0.129470 seconds
% 0.13/0.41 % Total memory used: 17.448 MB
% 0.13/0.41 % Net memory used: 17.104 MB
%------------------------------------------------------------------------------