%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS032+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 01:00:07 PM UTC 2026
% Result : Satisfiable 0.14s 0.64s
% Output : Saturation 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X] :
( cSatisfiable(X)
<=> ( ? [Y] :
( cp1(Y)
& rr(X,Y) )
& ? [Y] :
( cp1(Y)
& cp(Y)
& rr(X,Y) )
& ? [Y] :
( cp(Y)
& cp2(Y)
& rr(X,Y) )
& ? [Y] :
( cp2(Y)
& rr(X,Y) )
& ? [Y] :
( cp(Y)
& cp3(Y)
& rr(X,Y) )
& ! [Y0,Y1,Y2,Y3] :
( ( rr(X,Y3)
& rr(X,Y2)
& rr(X,Y1)
& rr(X,Y0) )
=> ( Y2 = Y3
| Y1 = Y3
| Y1 = Y2
| Y0 = Y3
| Y0 = Y2
| Y0 = Y1 ) )
& ? [Y] :
( cp3(Y)
& rr(X,Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X] :
( cp1(X)
=> ~ ( cp2(X)
| cp5(X)
| cp3(X)
| cp4(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X] :
( cp2(X)
=> ~ ( cp5(X)
| cp3(X)
| cp4(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X] :
( cp3(X)
=> ~ ( cp5(X)
| cp4(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X] :
( cp4(X)
=> ~ cp5(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
cSatisfiable(i2003_11_14_17_15_33836),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f61,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f62,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f63,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f64,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(NNF_transformation,[status(thm)],[f15]) ).
fof(f65,plain,
( ! [X] :
( xsd_integer(X)
| xsd_string(X) )
& ! [X] :
( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(miniscoping,[status(thm)],[f64]) ).
fof(f66,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f67,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f68,plain,
! [X] :
( cSatisfiable(X)
<=> ( ? [Y] :
( cp1(Y)
& rr(X,Y) )
& ? [Y] :
( cp1(Y)
& cp(Y)
& rr(X,Y) )
& ? [Y] :
( cp(Y)
& cp2(Y)
& rr(X,Y) )
& ? [Y] :
( cp2(Y)
& rr(X,Y) )
& ? [Y] :
( cp(Y)
& cp3(Y)
& rr(X,Y) )
& ! [Y0,Y1,Y2,Y3] :
( Y2 = Y3
| Y1 = Y3
| Y1 = Y2
| Y0 = Y3
| Y0 = Y2
| Y0 = Y1
| ~ rr(X,Y3)
| ~ rr(X,Y2)
| ~ rr(X,Y1)
| ~ rr(X,Y0) )
& ? [Y] :
( cp3(Y)
& rr(X,Y) ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f69,plain,
! [X] :
( ( ! [Y] :
( ~ cp1(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp1(Y)
| ~ cp(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp(Y)
| ~ cp2(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp2(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp(Y)
| ~ cp3(Y)
| ~ rr(X,Y) )
| ? [Y0,Y1,Y2,Y3] :
( Y2 != Y3
& Y1 != Y3
& Y1 != Y2
& Y0 != Y3
& Y0 != Y2
& Y0 != Y1
& rr(X,Y3)
& rr(X,Y2)
& rr(X,Y1)
& rr(X,Y0) )
| ! [Y] :
( ~ cp3(Y)
| ~ rr(X,Y) )
| cSatisfiable(X) )
& ( ( ? [Y] :
( cp1(Y)
& rr(X,Y) )
& ? [Y] :
( cp1(Y)
& cp(Y)
& rr(X,Y) )
& ? [Y] :
( cp(Y)
& cp2(Y)
& rr(X,Y) )
& ? [Y] :
( cp2(Y)
& rr(X,Y) )
& ? [Y] :
( cp(Y)
& cp3(Y)
& rr(X,Y) )
& ! [Y0,Y1,Y2,Y3] :
( Y2 = Y3
| Y1 = Y3
| Y1 = Y2
| Y0 = Y3
| Y0 = Y2
| Y0 = Y1
| ~ rr(X,Y3)
| ~ rr(X,Y2)
| ~ rr(X,Y1)
| ~ rr(X,Y0) )
& ? [Y] :
( cp3(Y)
& rr(X,Y) ) )
| ~ cSatisfiable(X) ) ),
inference(NNF_transformation,[status(thm)],[f68]) ).
fof(f70,plain,
( ! [X] :
( ! [Y] :
( ~ cp1(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp1(Y)
| ~ cp(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp(Y)
| ~ cp2(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp2(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp(Y)
| ~ cp3(Y)
| ~ rr(X,Y) )
| ? [Y0,Y1,Y2,Y3] :
( Y2 != Y3
& Y1 != Y3
& Y1 != Y2
& Y0 != Y3
& Y0 != Y2
& Y0 != Y1
& rr(X,Y3)
& rr(X,Y2)
& rr(X,Y1)
& rr(X,Y0) )
| ! [Y] :
( ~ cp3(Y)
| ~ rr(X,Y) )
| cSatisfiable(X) )
& ! [X] :
( ( ? [Y] :
( cp1(Y)
& rr(X,Y) )
& ? [Y] :
( cp1(Y)
& cp(Y)
& rr(X,Y) )
& ? [Y] :
( cp(Y)
& cp2(Y)
& rr(X,Y) )
& ? [Y] :
( cp2(Y)
& rr(X,Y) )
& ? [Y] :
( cp(Y)
& cp3(Y)
& rr(X,Y) )
& ! [Y0,Y1,Y2,Y3] :
( Y2 = Y3
| Y1 = Y3
| Y1 = Y2
| Y0 = Y3
| Y0 = Y2
| Y0 = Y1
| ~ rr(X,Y3)
| ~ rr(X,Y2)
| ~ rr(X,Y1)
| ~ rr(X,Y0) )
& ? [Y] :
( cp3(Y)
& rr(X,Y) ) )
| ~ cSatisfiable(X) ) ),
inference(miniscoping,[status(thm)],[f69]) ).
fof(f71,plain,
( ! [X] :
( ! [Y] :
( ~ cp1(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp1(Y)
| ~ cp(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp(Y)
| ~ cp2(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp2(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp(Y)
| ~ cp3(Y)
| ~ rr(X,Y) )
| ( sK8_skl(X) != sK9_skl(X)
& sK7_skl(X) != sK9_skl(X)
& sK7_skl(X) != sK8_skl(X)
& sK6_skl(X) != sK9_skl(X)
& sK6_skl(X) != sK8_skl(X)
& sK6_skl(X) != sK7_skl(X)
& rr(X,sK9_skl(X))
& rr(X,sK8_skl(X))
& rr(X,sK7_skl(X))
& rr(X,sK6_skl(X)) )
| ! [Y] :
( ~ cp3(Y)
| ~ rr(X,Y) )
| cSatisfiable(X) )
& ! [X] :
( ( cp1(sK5_skl(X))
& rr(X,sK5_skl(X))
& cp1(sK4_skl(X))
& cp(sK4_skl(X))
& rr(X,sK4_skl(X))
& cp(sK3_skl(X))
& cp2(sK3_skl(X))
& rr(X,sK3_skl(X))
& cp2(sK2_skl(X))
& rr(X,sK2_skl(X))
& cp(sK1_skl(X))
& cp3(sK1_skl(X))
& rr(X,sK1_skl(X))
& ! [Y0,Y1,Y2,Y3] :
( Y2 = Y3
| Y1 = Y3
| Y1 = Y2
| Y0 = Y3
| Y0 = Y2
| Y0 = Y1
| ~ rr(X,Y3)
| ~ rr(X,Y2)
| ~ rr(X,Y1)
| ~ rr(X,Y0) )
& cp3(sK0_skl(X))
& rr(X,sK0_skl(X)) )
| ~ cSatisfiable(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl,sK9_skl]),skolemize(Y,sK0_skl(X)),skolemize(Y,sK1_skl(X)),skolemize(Y,sK2_skl(X)),skolemize(Y,sK3_skl(X)),skolemize(Y,sK4_skl(X)),skolemize(Y,sK5_skl(X)),skolemize(Y0,sK6_skl(X)),skolemize(Y1,sK7_skl(X)),skolemize(Y2,sK8_skl(X)),skolemize(Y3,sK9_skl(X))],[f70]) ).
fof(f72,plain,
! [X0] :
( rr(X0,sK0_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f73,plain,
! [X0] :
( cp3(sK0_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f74,plain,
! [X0,X1,X2,X3,X4] :
( X3 = X4
| X2 = X4
| X2 = X3
| X1 = X4
| X1 = X3
| X1 = X2
| ~ rr(X0,X4)
| ~ rr(X0,X3)
| ~ rr(X0,X2)
| ~ rr(X0,X1)
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f75,plain,
! [X0] :
( rr(X0,sK1_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f76,plain,
! [X0] :
( cp3(sK1_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f77,plain,
! [X0] :
( cp(sK1_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f78,plain,
! [X0] :
( rr(X0,sK2_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f79,plain,
! [X0] :
( cp2(sK2_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f80,plain,
! [X0] :
( rr(X0,sK3_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f81,plain,
! [X0] :
( cp2(sK3_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f82,plain,
! [X0] :
( cp(sK3_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f83,plain,
! [X0] :
( rr(X0,sK4_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f84,plain,
! [X0] :
( cp(sK4_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f85,plain,
! [X0] :
( cp1(sK4_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f86,plain,
! [X0] :
( rr(X0,sK5_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f87,plain,
! [X0] :
( cp1(sK5_skl(X0))
| ~ cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f88,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ cp1(X6)
| ~ rr(X0,X6)
| ~ cp1(X5)
| ~ cp(X5)
| ~ rr(X0,X5)
| ~ cp(X4)
| ~ cp2(X4)
| ~ rr(X0,X4)
| ~ cp2(X3)
| ~ rr(X0,X3)
| ~ cp(X2)
| ~ cp3(X2)
| ~ rr(X0,X2)
| rr(X0,sK6_skl(X0))
| ~ cp3(X1)
| ~ rr(X0,X1)
| cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f89,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ cp1(X6)
| ~ rr(X0,X6)
| ~ cp1(X5)
| ~ cp(X5)
| ~ rr(X0,X5)
| ~ cp(X4)
| ~ cp2(X4)
| ~ rr(X0,X4)
| ~ cp2(X3)
| ~ rr(X0,X3)
| ~ cp(X2)
| ~ cp3(X2)
| ~ rr(X0,X2)
| rr(X0,sK7_skl(X0))
| ~ cp3(X1)
| ~ rr(X0,X1)
| cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f90,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ cp1(X6)
| ~ rr(X0,X6)
| ~ cp1(X5)
| ~ cp(X5)
| ~ rr(X0,X5)
| ~ cp(X4)
| ~ cp2(X4)
| ~ rr(X0,X4)
| ~ cp2(X3)
| ~ rr(X0,X3)
| ~ cp(X2)
| ~ cp3(X2)
| ~ rr(X0,X2)
| rr(X0,sK8_skl(X0))
| ~ cp3(X1)
| ~ rr(X0,X1)
| cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f91,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ cp1(X6)
| ~ rr(X0,X6)
| ~ cp1(X5)
| ~ cp(X5)
| ~ rr(X0,X5)
| ~ cp(X4)
| ~ cp2(X4)
| ~ rr(X0,X4)
| ~ cp2(X3)
| ~ rr(X0,X3)
| ~ cp(X2)
| ~ cp3(X2)
| ~ rr(X0,X2)
| rr(X0,sK9_skl(X0))
| ~ cp3(X1)
| ~ rr(X0,X1)
| cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f92,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ cp1(X6)
| ~ rr(X0,X6)
| ~ cp1(X5)
| ~ cp(X5)
| ~ rr(X0,X5)
| ~ cp(X4)
| ~ cp2(X4)
| ~ rr(X0,X4)
| ~ cp2(X3)
| ~ rr(X0,X3)
| ~ cp(X2)
| ~ cp3(X2)
| ~ rr(X0,X2)
| sK6_skl(X0) != sK7_skl(X0)
| ~ cp3(X1)
| ~ rr(X0,X1)
| cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f93,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ cp1(X6)
| ~ rr(X0,X6)
| ~ cp1(X5)
| ~ cp(X5)
| ~ rr(X0,X5)
| ~ cp(X4)
| ~ cp2(X4)
| ~ rr(X0,X4)
| ~ cp2(X3)
| ~ rr(X0,X3)
| ~ cp(X2)
| ~ cp3(X2)
| ~ rr(X0,X2)
| sK6_skl(X0) != sK8_skl(X0)
| ~ cp3(X1)
| ~ rr(X0,X1)
| cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f94,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ cp1(X6)
| ~ rr(X0,X6)
| ~ cp1(X5)
| ~ cp(X5)
| ~ rr(X0,X5)
| ~ cp(X4)
| ~ cp2(X4)
| ~ rr(X0,X4)
| ~ cp2(X3)
| ~ rr(X0,X3)
| ~ cp(X2)
| ~ cp3(X2)
| ~ rr(X0,X2)
| sK6_skl(X0) != sK9_skl(X0)
| ~ cp3(X1)
| ~ rr(X0,X1)
| cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f95,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ cp1(X6)
| ~ rr(X0,X6)
| ~ cp1(X5)
| ~ cp(X5)
| ~ rr(X0,X5)
| ~ cp(X4)
| ~ cp2(X4)
| ~ rr(X0,X4)
| ~ cp2(X3)
| ~ rr(X0,X3)
| ~ cp(X2)
| ~ cp3(X2)
| ~ rr(X0,X2)
| sK7_skl(X0) != sK8_skl(X0)
| ~ cp3(X1)
| ~ rr(X0,X1)
| cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f96,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ cp1(X6)
| ~ rr(X0,X6)
| ~ cp1(X5)
| ~ cp(X5)
| ~ rr(X0,X5)
| ~ cp(X4)
| ~ cp2(X4)
| ~ rr(X0,X4)
| ~ cp2(X3)
| ~ rr(X0,X3)
| ~ cp(X2)
| ~ cp3(X2)
| ~ rr(X0,X2)
| sK7_skl(X0) != sK9_skl(X0)
| ~ cp3(X1)
| ~ rr(X0,X1)
| cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f97,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ cp1(X6)
| ~ rr(X0,X6)
| ~ cp1(X5)
| ~ cp(X5)
| ~ rr(X0,X5)
| ~ cp(X4)
| ~ cp2(X4)
| ~ rr(X0,X4)
| ~ cp2(X3)
| ~ rr(X0,X3)
| ~ cp(X2)
| ~ cp3(X2)
| ~ rr(X0,X2)
| sK8_skl(X0) != sK9_skl(X0)
| ~ cp3(X1)
| ~ rr(X0,X1)
| cSatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f98,plain,
! [X] :
( ( ~ cp2(X)
& ~ cp5(X)
& ~ cp3(X)
& ~ cp4(X) )
| ~ cp1(X) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f99,plain,
! [X0] :
( ~ cp4(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f100,plain,
! [X0] :
( ~ cp3(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f101,plain,
! [X0] :
( ~ cp5(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f102,plain,
! [X0] :
( ~ cp2(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f103,plain,
! [X] :
( ( ~ cp5(X)
& ~ cp3(X)
& ~ cp4(X) )
| ~ cp2(X) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f104,plain,
! [X0] :
( ~ cp4(X0)
| ~ cp2(X0) ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f105,plain,
! [X0] :
( ~ cp3(X0)
| ~ cp2(X0) ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f106,plain,
! [X0] :
( ~ cp5(X0)
| ~ cp2(X0) ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f107,plain,
! [X] :
( ( ~ cp5(X)
& ~ cp4(X) )
| ~ cp3(X) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f108,plain,
! [X0] :
( ~ cp4(X0)
| ~ cp3(X0) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f109,plain,
! [X0] :
( ~ cp5(X0)
| ~ cp3(X0) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f110,plain,
! [X] :
( ~ cp5(X)
| ~ cp4(X) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f111,plain,
! [X0] :
( ~ cp5(X0)
| ~ cp4(X0) ),
inference(cnf_transformation,[status(thm)],[f110]) ).
fof(f112,plain,
cSatisfiable(i2003_11_14_17_15_33836),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f114,plain,
rr(i2003_11_14_17_15_33836,sK2_skl(i2003_11_14_17_15_33836)),
inference(resolution,[status(thm)],[f112,f78]) ).
fof(f115,plain,
cp(sK1_skl(i2003_11_14_17_15_33836)),
inference(resolution,[status(thm)],[f112,f77]) ).
fof(f116,plain,
cp3(sK1_skl(i2003_11_14_17_15_33836)),
inference(resolution,[status(thm)],[f112,f76]) ).
fof(f117,plain,
rr(i2003_11_14_17_15_33836,sK1_skl(i2003_11_14_17_15_33836)),
inference(resolution,[status(thm)],[f112,f75]) ).
fof(f118,plain,
cp3(sK0_skl(i2003_11_14_17_15_33836)),
inference(resolution,[status(thm)],[f112,f73]) ).
fof(f119,plain,
rr(i2003_11_14_17_15_33836,sK0_skl(i2003_11_14_17_15_33836)),
inference(resolution,[status(thm)],[f112,f72]) ).
fof(f120,plain,
cp2(sK2_skl(i2003_11_14_17_15_33836)),
inference(resolution,[status(thm)],[f79,f112]) ).
fof(f121,plain,
rr(i2003_11_14_17_15_33836,sK3_skl(i2003_11_14_17_15_33836)),
inference(resolution,[status(thm)],[f80,f112]) ).
fof(f122,plain,
cp2(sK3_skl(i2003_11_14_17_15_33836)),
inference(resolution,[status(thm)],[f81,f112]) ).
fof(f123,plain,
cp(sK3_skl(i2003_11_14_17_15_33836)),
inference(resolution,[status(thm)],[f82,f112]) ).
fof(f124,plain,
rr(i2003_11_14_17_15_33836,sK4_skl(i2003_11_14_17_15_33836)),
inference(resolution,[status(thm)],[f83,f112]) ).
fof(f125,plain,
cp(sK4_skl(i2003_11_14_17_15_33836)),
inference(resolution,[status(thm)],[f84,f112]) ).
fof(f126,plain,
cp1(sK4_skl(i2003_11_14_17_15_33836)),
inference(resolution,[status(thm)],[f85,f112]) ).
fof(f127,plain,
rr(i2003_11_14_17_15_33836,sK5_skl(i2003_11_14_17_15_33836)),
inference(resolution,[status(thm)],[f86,f112]) ).
fof(f128,plain,
cp1(sK5_skl(i2003_11_14_17_15_33836)),
inference(resolution,[status(thm)],[f87,f112]) ).
fof(f139,plain,
! [X0,X1,X2] :
( X1 = X2
| X0 = X2
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X2
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0)
| ~ cSatisfiable(i2003_11_14_17_15_33836) ),
inference(resolution,[status(thm)],[f114,f74]) ).
fof(f140,definition,
( sQ0_spl
<=> cSatisfiable(i2003_11_14_17_15_33836) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f142,plain,
( sQ0_spl
| ~ cSatisfiable(i2003_11_14_17_15_33836) ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f161,definition,
! [X4] :
( sQ7_spl
<=> ( ~ cp1(X4)
| ~ rr(i2003_11_14_17_15_33836,X4) ) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f162,plain,
! [X0] :
( ~ sQ7_spl
| ~ cp1(X0)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(component_clause,[status(thm)],[f161]) ).
fof(f201,definition,
! [X0,X1,X2] :
( sQ17_spl
<=> ( X1 = X2
| X0 = X2
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X2
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f202,plain,
! [X0,X1,X2] :
( ~ sQ17_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X2
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(component_clause,[status(thm)],[f201]) ).
fof(f204,plain,
( sQ17_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f139,f140,f201]) ).
fof(f205,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f142,f112]) ).
fof(f206,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f205]) ).
fof(f207,plain,
! [X0,X1] :
( ~ sQ17_spl
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = sK2_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f202,f114]) ).
fof(f208,definition,
! [X0,X1] :
( sQ18_spl
<=> ( X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f209,plain,
! [X0,X1] :
( ~ sQ18_spl
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f211,definition,
( sQ19_spl
<=> sK2_skl(i2003_11_14_17_15_33836) = sK2_skl(i2003_11_14_17_15_33836) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f214,plain,
( ~ sQ17_spl
| sQ19_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f207,f208,f211,f201]) ).
fof(f215,plain,
! [X0,X1] :
( ~ sQ18_spl
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f209]) ).
fof(f216,plain,
! [X0] :
( ~ sQ18_spl
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = sK2_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f215,f114]) ).
fof(f217,definition,
! [X0] :
( sQ20_spl
<=> ( sK2_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f220,plain,
( ~ sQ18_spl
| sQ19_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f216,f217,f211,f208]) ).
fof(f223,plain,
~ cp2(sK1_skl(i2003_11_14_17_15_33836)),
inference(resolution,[status(thm)],[f116,f105]) ).
fof(f224,plain,
~ cp1(sK1_skl(i2003_11_14_17_15_33836)),
inference(resolution,[status(thm)],[f116,f100]) ).
fof(f225,plain,
! [X0,X1] :
( ~ sQ17_spl
| X0 = X1
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = sK1_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f117,f202]) ).
fof(f236,plain,
! [X0,X1,X2] :
( X1 = X2
| X0 = X2
| X0 = X1
| sK1_skl(i2003_11_14_17_15_33836) = X2
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0)
| ~ cSatisfiable(i2003_11_14_17_15_33836) ),
inference(resolution,[status(thm)],[f117,f74]) ).
fof(f237,definition,
! [X0,X1] :
( sQ21_spl
<=> ( X0 = X1
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f238,plain,
! [X0,X1] :
( ~ sQ21_spl
| X0 = X1
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(component_clause,[status(thm)],[f237]) ).
fof(f240,definition,
( sQ22_spl
<=> sK2_skl(i2003_11_14_17_15_33836) = sK1_skl(i2003_11_14_17_15_33836) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f241,plain,
( ~ sQ22_spl
| sK2_skl(i2003_11_14_17_15_33836) = sK1_skl(i2003_11_14_17_15_33836) ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f242,plain,
( sQ22_spl
| sK2_skl(i2003_11_14_17_15_33836) != sK1_skl(i2003_11_14_17_15_33836) ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f243,plain,
( ~ sQ17_spl
| sQ22_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f225,f237,f240,f201]) ).
fof(f257,definition,
! [X0,X1,X2] :
( sQ24_spl
<=> ( X1 = X2
| X0 = X2
| X0 = X1
| sK1_skl(i2003_11_14_17_15_33836) = X2
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f258,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK1_skl(i2003_11_14_17_15_33836) = X2
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f260,plain,
( sQ24_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f236,f140,f257]) ).
fof(f261,plain,
! [X0] :
( ~ sQ21_spl
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = sK1_skl(i2003_11_14_17_15_33836)
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = sK1_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f238,f117]) ).
fof(f262,plain,
! [X0] :
( ~ sQ21_spl
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = sK2_skl(i2003_11_14_17_15_33836)
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = sK2_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f238,f114]) ).
fof(f263,definition,
! [X0] :
( sQ25_spl
<=> ( sK1_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f264,plain,
! [X0] :
( ~ sQ25_spl
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,definition,
( sQ26_spl
<=> sK1_skl(i2003_11_14_17_15_33836) = sK1_skl(i2003_11_14_17_15_33836) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f269,plain,
( ~ sQ21_spl
| sQ26_spl
| sQ22_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f261,f263,f240,f266,f237]) ).
fof(f270,definition,
! [X0] :
( sQ27_spl
<=> ( sK2_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f273,plain,
( ~ sQ21_spl
| sQ22_spl
| sQ19_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f262,f270,f211,f240,f237]) ).
fof(f274,plain,
! [X0,X1,X2] :
( ~ sQ17_spl
| ~ sQ22_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK1_skl(i2003_11_14_17_15_33836) = X2
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f241,f202]) ).
fof(f276,plain,
( ~ sQ22_spl
| cp2(sK1_skl(i2003_11_14_17_15_33836)) ),
inference(backward_demodulation,[status(thm)],[f241,f120]) ).
fof(f277,plain,
! [X0,X1,X2] :
( ~ sQ17_spl
| ~ sQ22_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK1_skl(i2003_11_14_17_15_33836) = X2
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f241,f274]) ).
fof(f278,plain,
! [X0,X1,X2] :
( ~ sQ17_spl
| ~ sQ22_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK1_skl(i2003_11_14_17_15_33836) = X2
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f241,f277]) ).
fof(f279,plain,
( ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f276,f223]) ).
fof(f280,plain,
~ sQ22_spl,
inference(contradiction_clause,[status(thm)],[f279]) ).
fof(f281,plain,
! [X0] :
( ~ sQ25_spl
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f264]) ).
fof(f282,plain,
( ~ sQ25_spl
| sK1_skl(i2003_11_14_17_15_33836) = sK1_skl(i2003_11_14_17_15_33836)
| sK2_skl(i2003_11_14_17_15_33836) = sK1_skl(i2003_11_14_17_15_33836) ),
inference(resolution,[status(thm)],[f281,f117]) ).
fof(f283,plain,
( ~ sQ25_spl
| sQ26_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f282,f240,f266,f263]) ).
fof(f286,plain,
! [X0,X1] :
( ~ sQ24_spl
| X0 = X1
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = sK1_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f258,f117]) ).
fof(f287,definition,
! [X0,X1] :
( sQ28_spl
<=> ( X0 = X1
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f290,plain,
( ~ sQ24_spl
| sQ26_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f286,f287,f266,f257]) ).
fof(f293,plain,
~ cp2(sK0_skl(i2003_11_14_17_15_33836)),
inference(resolution,[status(thm)],[f118,f105]) ).
fof(f294,plain,
~ cp1(sK0_skl(i2003_11_14_17_15_33836)),
inference(resolution,[status(thm)],[f118,f100]) ).
fof(f295,plain,
! [X0,X1] :
( ~ sQ17_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f119,f202]) ).
fof(f296,plain,
! [X0,X1] :
( ~ sQ24_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f119,f258]) ).
fof(f297,plain,
! [X0] :
( ~ sQ21_spl
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836)
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f119,f238]) ).
fof(f308,plain,
! [X0,X1,X2] :
( X1 = X2
| X0 = X2
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X2
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0)
| ~ cSatisfiable(i2003_11_14_17_15_33836) ),
inference(resolution,[status(thm)],[f119,f74]) ).
fof(f309,definition,
! [X0,X1] :
( sQ29_spl
<=> ( X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f310,plain,
! [X0,X1] :
( ~ sQ29_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(component_clause,[status(thm)],[f309]) ).
fof(f312,definition,
( sQ30_spl
<=> sK2_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f313,plain,
( ~ sQ30_spl
| sK2_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836) ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f314,plain,
( sQ30_spl
| sK2_skl(i2003_11_14_17_15_33836) != sK0_skl(i2003_11_14_17_15_33836) ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f315,plain,
( ~ sQ17_spl
| sQ30_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f295,f309,f312,f201]) ).
fof(f316,definition,
! [X0,X1] :
( sQ31_spl
<=> ( X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f317,plain,
! [X0,X1] :
( ~ sQ31_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(component_clause,[status(thm)],[f316]) ).
fof(f319,definition,
( sQ32_spl
<=> sK1_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f320,plain,
( ~ sQ32_spl
| sK1_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836) ),
inference(component_clause,[status(thm)],[f319]) ).
fof(f321,plain,
( sQ32_spl
| sK1_skl(i2003_11_14_17_15_33836) != sK0_skl(i2003_11_14_17_15_33836) ),
inference(component_clause,[status(thm)],[f319]) ).
fof(f322,plain,
( ~ sQ24_spl
| sQ32_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f296,f316,f319,f257]) ).
fof(f323,definition,
! [X0] :
( sQ33_spl
<=> ( sK0_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f324,plain,
! [X0] :
( ~ sQ33_spl
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f326,plain,
( ~ sQ21_spl
| sQ32_spl
| sQ30_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f297,f323,f312,f319,f237]) ).
fof(f340,definition,
! [X0,X1,X2] :
( sQ35_spl
<=> ( X1 = X2
| X0 = X2
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X2
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f341,plain,
! [X0,X1,X2] :
( ~ sQ35_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X2
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(component_clause,[status(thm)],[f340]) ).
fof(f343,plain,
( sQ35_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f308,f140,f340]) ).
fof(f344,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| ~ sQ32_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X2
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f320,f258]) ).
fof(f345,plain,
! [X0,X1] :
( ~ sQ21_spl
| ~ sQ32_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f320,f238]) ).
fof(f349,plain,
( sQ22_spl
| ~ sQ32_spl
| sK2_skl(i2003_11_14_17_15_33836) != sK0_skl(i2003_11_14_17_15_33836) ),
inference(backward_demodulation,[status(thm)],[f320,f242]) ).
fof(f352,plain,
! [X0,X1,X2] :
( ~ sQ17_spl
| ~ sQ30_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X2
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f313,f202]) ).
fof(f353,plain,
( ~ sQ30_spl
| cp2(sK0_skl(i2003_11_14_17_15_33836)) ),
inference(backward_demodulation,[status(thm)],[f313,f120]) ).
fof(f354,plain,
( ~ sQ30_spl
| rr(i2003_11_14_17_15_33836,sK0_skl(i2003_11_14_17_15_33836)) ),
inference(backward_demodulation,[status(thm)],[f313,f114]) ).
fof(f355,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| ~ sQ32_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X2
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f320,f344]) ).
fof(f356,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| ~ sQ32_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X2
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f320,f355]) ).
fof(f357,plain,
! [X0,X1] :
( ~ sQ21_spl
| ~ sQ32_spl
| ~ sQ30_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f313,f345]) ).
fof(f358,plain,
! [X0,X1] :
( ~ sQ21_spl
| ~ sQ32_spl
| ~ sQ30_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f313,f357]) ).
fof(f359,plain,
! [X0,X1] :
( ~ sQ21_spl
| ~ sQ32_spl
| ~ sQ30_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f320,f358]) ).
fof(f360,plain,
! [X0,X1] :
( ~ sQ21_spl
| ~ sQ32_spl
| ~ sQ30_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f359]) ).
fof(f366,plain,
! [X0,X1] :
( ~ sQ35_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f341,f119]) ).
fof(f367,definition,
! [X0,X1] :
( sQ36_spl
<=> ( X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f368,plain,
! [X0,X1] :
( ~ sQ36_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f370,definition,
( sQ37_spl
<=> sK0_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f373,plain,
( ~ sQ35_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f366,f367,f370,f340]) ).
fof(f374,plain,
! [X0,X1] :
( ~ sQ36_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f368]) ).
fof(f379,plain,
! [X0] :
( ~ sQ36_spl
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f374,f119]) ).
fof(f380,definition,
! [X0] :
( sQ38_spl
<=> ( sK0_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( ~ sQ36_spl
| sQ37_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f379,f380,f370,f367]) ).
fof(f384,plain,
~ cp1(sK3_skl(i2003_11_14_17_15_33836)),
inference(resolution,[status(thm)],[f122,f102]) ).
fof(f385,plain,
! [X0] :
( ~ sQ21_spl
| sK3_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = sK3_skl(i2003_11_14_17_15_33836)
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = sK3_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f121,f238]) ).
fof(f386,plain,
! [X0,X1] :
( ~ sQ24_spl
| X0 = X1
| sK3_skl(i2003_11_14_17_15_33836) = X1
| sK3_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = sK3_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f121,f258]) ).
fof(f387,plain,
! [X0,X1] :
( ~ sQ17_spl
| X0 = X1
| sK3_skl(i2003_11_14_17_15_33836) = X1
| sK3_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = sK3_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f121,f202]) ).
fof(f398,plain,
! [X0,X1,X2] :
( X1 = X2
| X0 = X2
| X0 = X1
| sK3_skl(i2003_11_14_17_15_33836) = X2
| sK3_skl(i2003_11_14_17_15_33836) = X1
| sK3_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0)
| ~ cSatisfiable(i2003_11_14_17_15_33836) ),
inference(resolution,[status(thm)],[f121,f74]) ).
fof(f399,definition,
! [X0] :
( sQ39_spl
<=> ( sK3_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f400,plain,
! [X0] :
( ~ sQ39_spl
| sK3_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f402,definition,
( sQ40_spl
<=> sK2_skl(i2003_11_14_17_15_33836) = sK3_skl(i2003_11_14_17_15_33836) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f403,plain,
( ~ sQ40_spl
| sK2_skl(i2003_11_14_17_15_33836) = sK3_skl(i2003_11_14_17_15_33836) ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f404,plain,
( sQ40_spl
| sK2_skl(i2003_11_14_17_15_33836) != sK3_skl(i2003_11_14_17_15_33836) ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f405,definition,
( sQ41_spl
<=> sK1_skl(i2003_11_14_17_15_33836) = sK3_skl(i2003_11_14_17_15_33836) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f406,plain,
( ~ sQ41_spl
| sK1_skl(i2003_11_14_17_15_33836) = sK3_skl(i2003_11_14_17_15_33836) ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f407,plain,
( sQ41_spl
| sK1_skl(i2003_11_14_17_15_33836) != sK3_skl(i2003_11_14_17_15_33836) ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,plain,
( ~ sQ21_spl
| sQ41_spl
| sQ40_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f385,f399,f402,f405,f237]) ).
fof(f409,definition,
! [X0,X1] :
( sQ42_spl
<=> ( X0 = X1
| sK3_skl(i2003_11_14_17_15_33836) = X1
| sK3_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f410,plain,
! [X0,X1] :
( ~ sQ42_spl
| X0 = X1
| sK3_skl(i2003_11_14_17_15_33836) = X1
| sK3_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f412,plain,
( ~ sQ24_spl
| sQ41_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f386,f409,f405,f257]) ).
fof(f413,definition,
! [X0,X1] :
( sQ43_spl
<=> ( X0 = X1
| sK3_skl(i2003_11_14_17_15_33836) = X1
| sK3_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f414,plain,
! [X0,X1] :
( ~ sQ43_spl
| X0 = X1
| sK3_skl(i2003_11_14_17_15_33836) = X1
| sK3_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(component_clause,[status(thm)],[f413]) ).
fof(f416,plain,
( ~ sQ17_spl
| sQ40_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f387,f413,f402,f201]) ).
fof(f430,definition,
! [X0,X1,X2] :
( sQ45_spl
<=> ( X1 = X2
| X0 = X2
| X0 = X1
| sK3_skl(i2003_11_14_17_15_33836) = X2
| sK3_skl(i2003_11_14_17_15_33836) = X1
| sK3_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f431,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK3_skl(i2003_11_14_17_15_33836) = X2
| sK3_skl(i2003_11_14_17_15_33836) = X1
| sK3_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f433,plain,
( sQ45_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f398,f140,f430]) ).
fof(f434,plain,
( ~ sQ41_spl
| rr(i2003_11_14_17_15_33836,sK1_skl(i2003_11_14_17_15_33836)) ),
inference(backward_demodulation,[status(thm)],[f406,f121]) ).
fof(f435,plain,
( ~ sQ41_spl
| cp2(sK1_skl(i2003_11_14_17_15_33836)) ),
inference(backward_demodulation,[status(thm)],[f406,f122]) ).
fof(f436,plain,
( ~ sQ41_spl
| ~ cp1(sK1_skl(i2003_11_14_17_15_33836)) ),
inference(backward_demodulation,[status(thm)],[f406,f384]) ).
fof(f437,plain,
( ~ sQ41_spl
| cp(sK1_skl(i2003_11_14_17_15_33836)) ),
inference(backward_demodulation,[status(thm)],[f406,f123]) ).
fof(f438,plain,
( ~ sQ40_spl
| ~ sQ41_spl
| sK2_skl(i2003_11_14_17_15_33836) = sK1_skl(i2003_11_14_17_15_33836) ),
inference(forward_demodulation,[status(thm)],[f406,f403]) ).
fof(f439,plain,
( ~ sQ40_spl
| ~ sQ41_spl
| sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f438,f242]) ).
fof(f440,plain,
( ~ sQ40_spl
| ~ sQ41_spl
| sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f439]) ).
fof(f441,plain,
! [X0] :
( ~ sQ21_spl
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = sK4_skl(i2003_11_14_17_15_33836)
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = sK4_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f124,f238]) ).
fof(f442,plain,
! [X0,X1] :
( ~ sQ24_spl
| X0 = X1
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = sK4_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f124,f258]) ).
fof(f443,plain,
! [X0,X1] :
( ~ sQ17_spl
| X0 = X1
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = sK4_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f124,f202]) ).
fof(f454,plain,
! [X0,X1,X2] :
( X1 = X2
| X0 = X2
| X0 = X1
| sK4_skl(i2003_11_14_17_15_33836) = X2
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0)
| ~ cSatisfiable(i2003_11_14_17_15_33836) ),
inference(resolution,[status(thm)],[f124,f74]) ).
fof(f455,definition,
! [X0] :
( sQ46_spl
<=> ( sK4_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f456,plain,
! [X0] :
( ~ sQ46_spl
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f458,definition,
( sQ47_spl
<=> sK2_skl(i2003_11_14_17_15_33836) = sK4_skl(i2003_11_14_17_15_33836) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f459,plain,
( ~ sQ47_spl
| sK2_skl(i2003_11_14_17_15_33836) = sK4_skl(i2003_11_14_17_15_33836) ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f460,plain,
( sQ47_spl
| sK2_skl(i2003_11_14_17_15_33836) != sK4_skl(i2003_11_14_17_15_33836) ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f461,definition,
( sQ48_spl
<=> sK1_skl(i2003_11_14_17_15_33836) = sK4_skl(i2003_11_14_17_15_33836) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f462,plain,
( ~ sQ48_spl
| sK1_skl(i2003_11_14_17_15_33836) = sK4_skl(i2003_11_14_17_15_33836) ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f463,plain,
( sQ48_spl
| sK1_skl(i2003_11_14_17_15_33836) != sK4_skl(i2003_11_14_17_15_33836) ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f464,plain,
( ~ sQ21_spl
| sQ48_spl
| sQ47_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f441,f455,f458,f461,f237]) ).
fof(f465,definition,
! [X0,X1] :
( sQ49_spl
<=> ( X0 = X1
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f466,plain,
! [X0,X1] :
( ~ sQ49_spl
| X0 = X1
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f468,plain,
( ~ sQ24_spl
| sQ48_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f442,f465,f461,f257]) ).
fof(f469,definition,
! [X0,X1] :
( sQ50_spl
<=> ( X0 = X1
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f470,plain,
! [X0,X1] :
( ~ sQ50_spl
| X0 = X1
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f472,plain,
( ~ sQ17_spl
| sQ47_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f443,f469,f458,f201]) ).
fof(f486,definition,
! [X0,X1,X2] :
( sQ52_spl
<=> ( X1 = X2
| X0 = X2
| X0 = X1
| sK4_skl(i2003_11_14_17_15_33836) = X2
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f487,plain,
! [X0,X1,X2] :
( ~ sQ52_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK4_skl(i2003_11_14_17_15_33836) = X2
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,plain,
( sQ52_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f454,f140,f486]) ).
fof(f490,plain,
( ~ sQ48_spl
| rr(i2003_11_14_17_15_33836,sK1_skl(i2003_11_14_17_15_33836)) ),
inference(backward_demodulation,[status(thm)],[f462,f124]) ).
fof(f491,plain,
( ~ sQ48_spl
| cp1(sK1_skl(i2003_11_14_17_15_33836)) ),
inference(backward_demodulation,[status(thm)],[f462,f126]) ).
fof(f492,plain,
( ~ sQ48_spl
| cp(sK1_skl(i2003_11_14_17_15_33836)) ),
inference(backward_demodulation,[status(thm)],[f462,f125]) ).
fof(f493,plain,
( ~ sQ47_spl
| ~ sQ48_spl
| sK2_skl(i2003_11_14_17_15_33836) = sK1_skl(i2003_11_14_17_15_33836) ),
inference(forward_demodulation,[status(thm)],[f462,f459]) ).
fof(f496,plain,
( ~ sQ33_spl
| sK0_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836)
| sK1_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836)
| sK2_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836) ),
inference(resolution,[status(thm)],[f324,f119]) ).
fof(f497,plain,
( ~ sQ33_spl
| sQ37_spl
| sQ32_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f496,f312,f319,f370,f323]) ).
fof(f498,plain,
! [X0,X1] :
( ~ sQ21_spl
| ~ sQ32_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f320,f238]) ).
fof(f499,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| ~ sQ32_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X2
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f320,f258]) ).
fof(f500,plain,
( sQ48_spl
| ~ sQ32_spl
| sK0_skl(i2003_11_14_17_15_33836) != sK4_skl(i2003_11_14_17_15_33836) ),
inference(backward_demodulation,[status(thm)],[f320,f463]) ).
fof(f501,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ32_spl
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f320,f456]) ).
fof(f502,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ sQ32_spl
| X0 = X1
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f320,f466]) ).
fof(f503,plain,
( sQ41_spl
| ~ sQ32_spl
| sK0_skl(i2003_11_14_17_15_33836) != sK3_skl(i2003_11_14_17_15_33836) ),
inference(backward_demodulation,[status(thm)],[f320,f407]) ).
fof(f504,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ32_spl
| sK3_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f320,f400]) ).
fof(f505,plain,
! [X0,X1] :
( ~ sQ42_spl
| ~ sQ32_spl
| X0 = X1
| sK3_skl(i2003_11_14_17_15_33836) = X1
| sK3_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f320,f410]) ).
fof(f508,plain,
( sQ22_spl
| ~ sQ32_spl
| sK2_skl(i2003_11_14_17_15_33836) != sK0_skl(i2003_11_14_17_15_33836) ),
inference(backward_demodulation,[status(thm)],[f320,f242]) ).
fof(f512,plain,
! [X0,X1] :
( ~ sQ21_spl
| ~ sQ32_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f320,f345]) ).
fof(f513,plain,
! [X0,X1] :
( ~ sQ21_spl
| ~ sQ32_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f320,f498]) ).
fof(f514,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| ~ sQ32_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X2
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f320,f499]) ).
fof(f515,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| ~ sQ32_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X2
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f320,f514]) ).
fof(f516,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ sQ32_spl
| X0 = X1
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f320,f502]) ).
fof(f517,plain,
! [X0,X1] :
( ~ sQ42_spl
| ~ sQ32_spl
| X0 = X1
| sK3_skl(i2003_11_14_17_15_33836) = X1
| sK3_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f320,f505]) ).
fof(f518,plain,
( ~ sQ46_spl
| ~ sQ32_spl
| sK4_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836)
| sK0_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836)
| sK2_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836) ),
inference(resolution,[status(thm)],[f501,f119]) ).
fof(f519,definition,
( sQ53_spl
<=> sK4_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f520,plain,
( ~ sQ53_spl
| sK4_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836) ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f521,plain,
( sQ53_spl
| sK4_skl(i2003_11_14_17_15_33836) != sK0_skl(i2003_11_14_17_15_33836) ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,plain,
( ~ sQ46_spl
| ~ sQ32_spl
| sQ53_spl
| sQ37_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f518,f312,f370,f519,f319,f455]) ).
fof(f523,plain,
( ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f353,f293]) ).
fof(f524,plain,
~ sQ30_spl,
inference(contradiction_clause,[status(thm)],[f523]) ).
fof(f525,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ sQ47_spl
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f459,f466]) ).
fof(f526,plain,
( sQ48_spl
| ~ sQ47_spl
| sK1_skl(i2003_11_14_17_15_33836) != sK2_skl(i2003_11_14_17_15_33836) ),
inference(backward_demodulation,[status(thm)],[f459,f463]) ).
fof(f527,plain,
( ~ sQ47_spl
| cp(sK2_skl(i2003_11_14_17_15_33836)) ),
inference(backward_demodulation,[status(thm)],[f459,f125]) ).
fof(f528,plain,
( ~ sQ47_spl
| cp1(sK2_skl(i2003_11_14_17_15_33836)) ),
inference(backward_demodulation,[status(thm)],[f459,f126]) ).
fof(f530,plain,
! [X0,X1] :
( ~ sQ50_spl
| ~ sQ47_spl
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f459,f470]) ).
fof(f531,plain,
! [X0,X1,X2] :
( ~ sQ52_spl
| ~ sQ47_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X2
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f459,f487]) ).
fof(f535,plain,
( sQ22_spl
| ~ sQ32_spl
| sK2_skl(i2003_11_14_17_15_33836) != sK0_skl(i2003_11_14_17_15_33836) ),
inference(backward_demodulation,[status(thm)],[f320,f242]) ).
fof(f541,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| ~ sQ32_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X2
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f320,f258]) ).
fof(f542,plain,
! [X0,X1] :
( ~ sQ21_spl
| ~ sQ32_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f320,f238]) ).
fof(f543,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ32_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f320,f317]) ).
fof(f544,plain,
( sQ48_spl
| ~ sQ32_spl
| ~ sQ47_spl
| sK0_skl(i2003_11_14_17_15_33836) != sK2_skl(i2003_11_14_17_15_33836) ),
inference(forward_demodulation,[status(thm)],[f459,f500]) ).
fof(f545,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ sQ32_spl
| ~ sQ47_spl
| X0 = X1
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f459,f516]) ).
fof(f546,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ sQ32_spl
| ~ sQ47_spl
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f459,f545]) ).
fof(f547,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ sQ47_spl
| ~ sQ32_spl
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f320,f525]) ).
fof(f548,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ sQ47_spl
| ~ sQ32_spl
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f320,f547]) ).
fof(f549,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ sQ47_spl
| ~ sQ32_spl
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f459,f548]) ).
fof(f550,plain,
( sQ48_spl
| ~ sQ47_spl
| ~ sQ32_spl
| sK0_skl(i2003_11_14_17_15_33836) != sK2_skl(i2003_11_14_17_15_33836) ),
inference(forward_demodulation,[status(thm)],[f320,f526]) ).
fof(f551,plain,
! [X0,X1] :
( ~ sQ50_spl
| ~ sQ47_spl
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f459,f530]) ).
fof(f552,plain,
! [X0,X1] :
( ~ sQ50_spl
| ~ sQ47_spl
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f551]) ).
fof(f553,plain,
! [X0,X1,X2] :
( ~ sQ52_spl
| ~ sQ47_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X2
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f459,f531]) ).
fof(f554,plain,
! [X0,X1,X2] :
( ~ sQ52_spl
| ~ sQ47_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X2
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f459,f553]) ).
fof(f556,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| ~ sQ32_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X2
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f320,f541]) ).
fof(f557,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| ~ sQ32_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X2
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f320,f556]) ).
fof(f558,plain,
! [X0,X1] :
( ~ sQ21_spl
| ~ sQ32_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f320,f542]) ).
fof(f559,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ32_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f320,f543]) ).
fof(f560,plain,
! [X0,X1] :
( ~ sQ31_spl
| ~ sQ32_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f559]) ).
fof(f561,plain,
( ~ sQ39_spl
| ~ sQ32_spl
| sK3_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836)
| sK0_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836)
| sK2_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836) ),
inference(resolution,[status(thm)],[f504,f119]) ).
fof(f562,definition,
( sQ54_spl
<=> sK3_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f563,plain,
( ~ sQ54_spl
| sK3_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836) ),
inference(component_clause,[status(thm)],[f562]) ).
fof(f564,plain,
( sQ54_spl
| sK3_skl(i2003_11_14_17_15_33836) != sK0_skl(i2003_11_14_17_15_33836) ),
inference(component_clause,[status(thm)],[f562]) ).
fof(f565,plain,
( ~ sQ39_spl
| ~ sQ32_spl
| sQ54_spl
| sQ37_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f561,f312,f370,f562,f319,f399]) ).
fof(f566,plain,
( ~ sQ40_spl
| cp(sK2_skl(i2003_11_14_17_15_33836)) ),
inference(backward_demodulation,[status(thm)],[f403,f123]) ).
fof(f570,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| ~ sQ40_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X2
| sK3_skl(i2003_11_14_17_15_33836) = X1
| sK3_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f403,f431]) ).
fof(f571,plain,
! [X0,X1] :
( ~ sQ42_spl
| ~ sQ40_spl
| X0 = X1
| sK3_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f403,f410]) ).
fof(f572,plain,
! [X0,X1] :
( ~ sQ42_spl
| ~ sQ40_spl
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f403,f571]) ).
fof(f573,plain,
( sQ41_spl
| ~ sQ40_spl
| sK1_skl(i2003_11_14_17_15_33836) != sK2_skl(i2003_11_14_17_15_33836) ),
inference(forward_demodulation,[status(thm)],[f403,f407]) ).
fof(f574,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ sQ47_spl
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f459,f525]) ).
fof(f583,plain,
! [X0,X1] :
( ~ sQ52_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f487,f119]) ).
fof(f584,definition,
! [X0,X1] :
( sQ55_spl
<=> ( X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f585,plain,
! [X0,X1] :
( ~ sQ55_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f587,plain,
( ~ sQ52_spl
| sQ53_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f583,f584,f519,f486]) ).
fof(f588,plain,
! [X0,X1,X2] :
( ~ sQ52_spl
| ~ sQ53_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X2
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f520,f487]) ).
fof(f589,plain,
( sQ47_spl
| ~ sQ53_spl
| sK2_skl(i2003_11_14_17_15_33836) != sK0_skl(i2003_11_14_17_15_33836) ),
inference(backward_demodulation,[status(thm)],[f520,f460]) ).
fof(f590,plain,
! [X0,X1] :
( ~ sQ50_spl
| ~ sQ53_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f520,f470]) ).
fof(f592,plain,
( ~ sQ53_spl
| cp1(sK0_skl(i2003_11_14_17_15_33836)) ),
inference(backward_demodulation,[status(thm)],[f520,f126]) ).
fof(f593,plain,
( ~ sQ53_spl
| cp(sK0_skl(i2003_11_14_17_15_33836)) ),
inference(backward_demodulation,[status(thm)],[f520,f125]) ).
fof(f594,plain,
( sQ48_spl
| ~ sQ53_spl
| sK1_skl(i2003_11_14_17_15_33836) != sK0_skl(i2003_11_14_17_15_33836) ),
inference(backward_demodulation,[status(thm)],[f520,f463]) ).
fof(f595,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ sQ53_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f520,f466]) ).
fof(f596,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ53_spl
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f520,f456]) ).
fof(f597,plain,
! [X0,X1,X2] :
( ~ sQ52_spl
| ~ sQ53_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X2
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f520,f588]) ).
fof(f598,plain,
! [X0,X1,X2] :
( ~ sQ52_spl
| ~ sQ53_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X2
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f520,f597]) ).
fof(f599,plain,
! [X0,X1] :
( ~ sQ50_spl
| ~ sQ53_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f520,f590]) ).
fof(f600,plain,
( ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f592,f294]) ).
fof(f601,plain,
~ sQ53_spl,
inference(contradiction_clause,[status(thm)],[f600]) ).
fof(f604,plain,
! [X0,X1] :
( ~ sQ45_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK3_skl(i2003_11_14_17_15_33836) = X1
| sK3_skl(i2003_11_14_17_15_33836) = X0
| sK3_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f431,f119]) ).
fof(f605,definition,
! [X0,X1] :
( sQ56_spl
<=> ( X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK3_skl(i2003_11_14_17_15_33836) = X1
| sK3_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f606,plain,
! [X0,X1] :
( ~ sQ56_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK3_skl(i2003_11_14_17_15_33836) = X1
| sK3_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(component_clause,[status(thm)],[f605]) ).
fof(f608,plain,
( ~ sQ45_spl
| sQ54_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f604,f605,f562,f430]) ).
fof(f609,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| ~ sQ54_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X2
| sK3_skl(i2003_11_14_17_15_33836) = X1
| sK3_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f563,f431]) ).
fof(f610,plain,
! [X0,X1] :
( ~ sQ42_spl
| ~ sQ54_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK3_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f563,f410]) ).
fof(f611,plain,
( sQ41_spl
| ~ sQ54_spl
| sK1_skl(i2003_11_14_17_15_33836) != sK0_skl(i2003_11_14_17_15_33836) ),
inference(backward_demodulation,[status(thm)],[f563,f407]) ).
fof(f613,plain,
( ~ sQ54_spl
| cp2(sK0_skl(i2003_11_14_17_15_33836)) ),
inference(backward_demodulation,[status(thm)],[f563,f122]) ).
fof(f614,plain,
( ~ sQ54_spl
| ~ cp1(sK0_skl(i2003_11_14_17_15_33836)) ),
inference(backward_demodulation,[status(thm)],[f563,f384]) ).
fof(f615,plain,
( ~ sQ54_spl
| cp(sK0_skl(i2003_11_14_17_15_33836)) ),
inference(backward_demodulation,[status(thm)],[f563,f123]) ).
fof(f616,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ sQ54_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK3_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f563,f414]) ).
fof(f617,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ54_spl
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f563,f400]) ).
fof(f618,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| ~ sQ54_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X2
| sK3_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f563,f609]) ).
fof(f619,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| ~ sQ54_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X2
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f563,f618]) ).
fof(f620,plain,
! [X0,X1] :
( ~ sQ42_spl
| ~ sQ54_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f563,f610]) ).
fof(f621,plain,
( ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f613,f293]) ).
fof(f622,plain,
~ sQ54_spl,
inference(contradiction_clause,[status(thm)],[f621]) ).
fof(f627,plain,
! [X0] :
( ~ sQ31_spl
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836)
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f317,f119]) ).
fof(f628,definition,
! [X0] :
( sQ57_spl
<=> ( sK0_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f631,plain,
( ~ sQ31_spl
| sQ37_spl
| sQ32_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f627,f628,f319,f370,f316]) ).
fof(f632,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| ~ sQ32_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X2
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f320,f258]) ).
fof(f634,plain,
( sQ41_spl
| ~ sQ32_spl
| sK0_skl(i2003_11_14_17_15_33836) != sK3_skl(i2003_11_14_17_15_33836) ),
inference(backward_demodulation,[status(thm)],[f320,f407]) ).
fof(f635,plain,
! [X0,X1] :
( ~ sQ42_spl
| ~ sQ32_spl
| X0 = X1
| sK3_skl(i2003_11_14_17_15_33836) = X1
| sK3_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f320,f410]) ).
fof(f637,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ sQ32_spl
| X0 = X1
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f320,f466]) ).
fof(f638,plain,
( sQ48_spl
| ~ sQ32_spl
| sK0_skl(i2003_11_14_17_15_33836) != sK4_skl(i2003_11_14_17_15_33836) ),
inference(backward_demodulation,[status(thm)],[f320,f463]) ).
fof(f639,plain,
! [X0,X1] :
( ~ sQ21_spl
| ~ sQ32_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f320,f238]) ).
fof(f642,plain,
( sQ22_spl
| ~ sQ32_spl
| sK2_skl(i2003_11_14_17_15_33836) != sK0_skl(i2003_11_14_17_15_33836) ),
inference(backward_demodulation,[status(thm)],[f320,f242]) ).
fof(f646,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| ~ sQ32_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X2
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f320,f632]) ).
fof(f647,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| ~ sQ32_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X2
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f320,f646]) ).
fof(f648,plain,
! [X0,X1] :
( ~ sQ42_spl
| ~ sQ32_spl
| X0 = X1
| sK3_skl(i2003_11_14_17_15_33836) = X1
| sK3_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f320,f635]) ).
fof(f649,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ sQ32_spl
| X0 = X1
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f320,f637]) ).
fof(f650,plain,
! [X0,X1] :
( ~ sQ21_spl
| ~ sQ32_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f320,f639]) ).
fof(f651,plain,
! [X0,X1] :
( ~ sQ45_spl
| X0 = X1
| sK5_skl(i2003_11_14_17_15_33836) = X1
| sK5_skl(i2003_11_14_17_15_33836) = X0
| sK3_skl(i2003_11_14_17_15_33836) = X1
| sK3_skl(i2003_11_14_17_15_33836) = X0
| sK3_skl(i2003_11_14_17_15_33836) = sK5_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f127,f431]) ).
fof(f652,plain,
! [X0,X1] :
( ~ sQ52_spl
| X0 = X1
| sK5_skl(i2003_11_14_17_15_33836) = X1
| sK5_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = sK5_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f127,f487]) ).
fof(f653,plain,
! [X0,X1] :
( ~ sQ17_spl
| X0 = X1
| sK5_skl(i2003_11_14_17_15_33836) = X1
| sK5_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = sK5_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f127,f202]) ).
fof(f654,plain,
! [X0,X1] :
( ~ sQ35_spl
| X0 = X1
| sK5_skl(i2003_11_14_17_15_33836) = X1
| sK5_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = sK5_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f127,f341]) ).
fof(f665,plain,
! [X0,X1,X2] :
( X1 = X2
| X0 = X2
| X0 = X1
| sK5_skl(i2003_11_14_17_15_33836) = X2
| sK5_skl(i2003_11_14_17_15_33836) = X1
| sK5_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0)
| ~ cSatisfiable(i2003_11_14_17_15_33836) ),
inference(resolution,[status(thm)],[f127,f74]) ).
fof(f666,definition,
! [X0,X1] :
( sQ58_spl
<=> ( X0 = X1
| sK5_skl(i2003_11_14_17_15_33836) = X1
| sK5_skl(i2003_11_14_17_15_33836) = X0
| sK3_skl(i2003_11_14_17_15_33836) = X1
| sK3_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f667,plain,
! [X0,X1] :
( ~ sQ58_spl
| X0 = X1
| sK5_skl(i2003_11_14_17_15_33836) = X1
| sK5_skl(i2003_11_14_17_15_33836) = X0
| sK3_skl(i2003_11_14_17_15_33836) = X1
| sK3_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(component_clause,[status(thm)],[f666]) ).
fof(f669,definition,
( sQ59_spl
<=> sK3_skl(i2003_11_14_17_15_33836) = sK5_skl(i2003_11_14_17_15_33836) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f670,plain,
( ~ sQ59_spl
| sK3_skl(i2003_11_14_17_15_33836) = sK5_skl(i2003_11_14_17_15_33836) ),
inference(component_clause,[status(thm)],[f669]) ).
fof(f671,plain,
( sQ59_spl
| sK3_skl(i2003_11_14_17_15_33836) != sK5_skl(i2003_11_14_17_15_33836) ),
inference(component_clause,[status(thm)],[f669]) ).
fof(f672,plain,
( ~ sQ45_spl
| sQ59_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f651,f666,f669,f430]) ).
fof(f673,definition,
! [X0,X1] :
( sQ60_spl
<=> ( X0 = X1
| sK5_skl(i2003_11_14_17_15_33836) = X1
| sK5_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f674,plain,
! [X0,X1] :
( ~ sQ60_spl
| X0 = X1
| sK5_skl(i2003_11_14_17_15_33836) = X1
| sK5_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(component_clause,[status(thm)],[f673]) ).
fof(f676,definition,
( sQ61_spl
<=> sK4_skl(i2003_11_14_17_15_33836) = sK5_skl(i2003_11_14_17_15_33836) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f677,plain,
( ~ sQ61_spl
| sK4_skl(i2003_11_14_17_15_33836) = sK5_skl(i2003_11_14_17_15_33836) ),
inference(component_clause,[status(thm)],[f676]) ).
fof(f679,plain,
( ~ sQ52_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f652,f673,f676,f486]) ).
fof(f680,definition,
! [X0,X1] :
( sQ62_spl
<=> ( X0 = X1
| sK5_skl(i2003_11_14_17_15_33836) = X1
| sK5_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f681,plain,
! [X0,X1] :
( ~ sQ62_spl
| X0 = X1
| sK5_skl(i2003_11_14_17_15_33836) = X1
| sK5_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(component_clause,[status(thm)],[f680]) ).
fof(f683,definition,
( sQ63_spl
<=> sK2_skl(i2003_11_14_17_15_33836) = sK5_skl(i2003_11_14_17_15_33836) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f684,plain,
( ~ sQ63_spl
| sK2_skl(i2003_11_14_17_15_33836) = sK5_skl(i2003_11_14_17_15_33836) ),
inference(component_clause,[status(thm)],[f683]) ).
fof(f685,plain,
( sQ63_spl
| sK2_skl(i2003_11_14_17_15_33836) != sK5_skl(i2003_11_14_17_15_33836) ),
inference(component_clause,[status(thm)],[f683]) ).
fof(f686,plain,
( ~ sQ17_spl
| sQ63_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f653,f680,f683,f201]) ).
fof(f687,definition,
! [X0,X1] :
( sQ64_spl
<=> ( X0 = X1
| sK5_skl(i2003_11_14_17_15_33836) = X1
| sK5_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f688,plain,
! [X0,X1] :
( ~ sQ64_spl
| X0 = X1
| sK5_skl(i2003_11_14_17_15_33836) = X1
| sK5_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(component_clause,[status(thm)],[f687]) ).
fof(f690,definition,
( sQ65_spl
<=> sK0_skl(i2003_11_14_17_15_33836) = sK5_skl(i2003_11_14_17_15_33836) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f691,plain,
( ~ sQ65_spl
| sK0_skl(i2003_11_14_17_15_33836) = sK5_skl(i2003_11_14_17_15_33836) ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f692,plain,
( sQ65_spl
| sK0_skl(i2003_11_14_17_15_33836) != sK5_skl(i2003_11_14_17_15_33836) ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f693,plain,
( ~ sQ35_spl
| sQ65_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f654,f687,f690,f340]) ).
fof(f707,definition,
! [X0,X1,X2] :
( sQ67_spl
<=> ( X1 = X2
| X0 = X2
| X0 = X1
| sK5_skl(i2003_11_14_17_15_33836) = X2
| sK5_skl(i2003_11_14_17_15_33836) = X1
| sK5_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f708,plain,
! [X0,X1,X2] :
( ~ sQ67_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK5_skl(i2003_11_14_17_15_33836) = X2
| sK5_skl(i2003_11_14_17_15_33836) = X1
| sK5_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(component_clause,[status(thm)],[f707]) ).
fof(f710,plain,
( sQ67_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f665,f140,f707]) ).
fof(f711,plain,
~ cp1(sK2_skl(i2003_11_14_17_15_33836)),
inference(resolution,[status(thm)],[f120,f102]) ).
fof(f712,plain,
( ~ sQ39_spl
| ~ sQ32_spl
| sK3_skl(i2003_11_14_17_15_33836) = sK5_skl(i2003_11_14_17_15_33836)
| sK0_skl(i2003_11_14_17_15_33836) = sK5_skl(i2003_11_14_17_15_33836)
| sK2_skl(i2003_11_14_17_15_33836) = sK5_skl(i2003_11_14_17_15_33836) ),
inference(resolution,[status(thm)],[f504,f127]) ).
fof(f714,plain,
( ~ sQ39_spl
| ~ sQ32_spl
| sQ59_spl
| sQ65_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f712,f683,f690,f669,f319,f399]) ).
fof(f717,plain,
( ~ sQ59_spl
| cp1(sK3_skl(i2003_11_14_17_15_33836)) ),
inference(backward_demodulation,[status(thm)],[f670,f128]) ).
fof(f718,plain,
! [X0,X1] :
( ~ sQ60_spl
| ~ sQ59_spl
| X0 = X1
| sK3_skl(i2003_11_14_17_15_33836) = X1
| sK5_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f670,f674]) ).
fof(f719,plain,
! [X0,X1,X2] :
( ~ sQ67_spl
| ~ sQ59_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK3_skl(i2003_11_14_17_15_33836) = X2
| sK5_skl(i2003_11_14_17_15_33836) = X1
| sK5_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f670,f708]) ).
fof(f720,plain,
( ~ sQ59_spl
| ~ sQ65_spl
| sK3_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836) ),
inference(backward_demodulation,[status(thm)],[f691,f670]) ).
fof(f721,plain,
( ~ sQ63_spl
| ~ sQ65_spl
| sK2_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836) ),
inference(forward_demodulation,[status(thm)],[f691,f684]) ).
fof(f724,plain,
( ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f717,f384]) ).
fof(f725,plain,
~ sQ59_spl,
inference(contradiction_clause,[status(thm)],[f724]) ).
fof(f726,plain,
( sQ59_spl
| ~ sQ63_spl
| sK3_skl(i2003_11_14_17_15_33836) != sK2_skl(i2003_11_14_17_15_33836) ),
inference(backward_demodulation,[status(thm)],[f684,f671]) ).
fof(f727,plain,
! [X0,X1,X2] :
( ~ sQ67_spl
| ~ sQ63_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X2
| sK5_skl(i2003_11_14_17_15_33836) = X1
| sK5_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f684,f708]) ).
fof(f728,plain,
! [X0,X1] :
( ~ sQ60_spl
| ~ sQ63_spl
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK5_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f684,f674]) ).
fof(f729,plain,
( ~ sQ63_spl
| cp1(sK2_skl(i2003_11_14_17_15_33836)) ),
inference(backward_demodulation,[status(thm)],[f684,f128]) ).
fof(f730,plain,
( ~ sQ63_spl
| rr(i2003_11_14_17_15_33836,sK2_skl(i2003_11_14_17_15_33836)) ),
inference(backward_demodulation,[status(thm)],[f684,f127]) ).
fof(f731,plain,
! [X0,X1] :
( ~ sQ58_spl
| ~ sQ63_spl
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK5_skl(i2003_11_14_17_15_33836) = X0
| sK3_skl(i2003_11_14_17_15_33836) = X1
| sK3_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f684,f667]) ).
fof(f732,plain,
( sQ65_spl
| ~ sQ63_spl
| sK0_skl(i2003_11_14_17_15_33836) != sK2_skl(i2003_11_14_17_15_33836) ),
inference(backward_demodulation,[status(thm)],[f684,f692]) ).
fof(f733,plain,
! [X0,X1] :
( ~ sQ62_spl
| ~ sQ63_spl
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK5_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f684,f681]) ).
fof(f734,plain,
! [X0,X1] :
( ~ sQ64_spl
| ~ sQ63_spl
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK5_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f684,f688]) ).
fof(f735,plain,
! [X0,X1,X2] :
( ~ sQ67_spl
| ~ sQ63_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X2
| sK5_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f684,f727]) ).
fof(f736,plain,
! [X0,X1,X2] :
( ~ sQ67_spl
| ~ sQ63_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X2
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f684,f735]) ).
fof(f737,plain,
! [X0,X1] :
( ~ sQ60_spl
| ~ sQ63_spl
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f684,f728]) ).
fof(f738,plain,
( ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f729,f711]) ).
fof(f739,plain,
~ sQ63_spl,
inference(contradiction_clause,[status(thm)],[f738]) ).
fof(f740,plain,
( sQ59_spl
| ~ sQ65_spl
| sK3_skl(i2003_11_14_17_15_33836) != sK0_skl(i2003_11_14_17_15_33836) ),
inference(forward_demodulation,[status(thm)],[f691,f671]) ).
fof(f741,plain,
! [X0,X1,X2] :
( ~ sQ67_spl
| ~ sQ65_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK5_skl(i2003_11_14_17_15_33836) = X2
| sK5_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f691,f708]) ).
fof(f742,plain,
! [X0,X1,X2] :
( ~ sQ67_spl
| ~ sQ65_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK5_skl(i2003_11_14_17_15_33836) = X2
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f691,f741]) ).
fof(f743,plain,
! [X0,X1,X2] :
( ~ sQ67_spl
| ~ sQ65_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X2
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f691,f742]) ).
fof(f744,plain,
! [X0,X1] :
( ~ sQ60_spl
| ~ sQ65_spl
| X0 = X1
| sK5_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f691,f674]) ).
fof(f745,plain,
! [X0,X1] :
( ~ sQ60_spl
| ~ sQ65_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f691,f744]) ).
fof(f746,plain,
( ~ sQ65_spl
| cp1(sK0_skl(i2003_11_14_17_15_33836)) ),
inference(forward_demodulation,[status(thm)],[f691,f128]) ).
fof(f747,plain,
( ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f746,f294]) ).
fof(f748,plain,
~ sQ65_spl,
inference(contradiction_clause,[status(thm)],[f747]) ).
fof(f751,plain,
( ~ sQ39_spl
| sK3_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836)
| sK1_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836)
| sK2_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836) ),
inference(resolution,[status(thm)],[f400,f119]) ).
fof(f752,plain,
( ~ sQ39_spl
| sQ54_spl
| sQ32_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f751,f312,f319,f562,f399]) ).
fof(f755,plain,
( ~ sQ32_spl
| cp(sK0_skl(i2003_11_14_17_15_33836)) ),
inference(backward_demodulation,[status(thm)],[f320,f115]) ).
fof(f756,plain,
( sQ22_spl
| ~ sQ32_spl
| sK2_skl(i2003_11_14_17_15_33836) != sK0_skl(i2003_11_14_17_15_33836) ),
inference(backward_demodulation,[status(thm)],[f320,f242]) ).
fof(f759,plain,
! [X0,X1] :
( ~ sQ21_spl
| ~ sQ32_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f320,f238]) ).
fof(f760,plain,
( sQ48_spl
| ~ sQ32_spl
| sK0_skl(i2003_11_14_17_15_33836) != sK4_skl(i2003_11_14_17_15_33836) ),
inference(backward_demodulation,[status(thm)],[f320,f463]) ).
fof(f761,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ sQ32_spl
| X0 = X1
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f320,f466]) ).
fof(f762,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ32_spl
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f320,f456]) ).
fof(f763,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| ~ sQ32_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X2
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f320,f258]) ).
fof(f765,plain,
( ~ sQ41_spl
| ~ sQ32_spl
| cp2(sK0_skl(i2003_11_14_17_15_33836)) ),
inference(forward_demodulation,[status(thm)],[f320,f435]) ).
fof(f766,plain,
( ~ sQ41_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f765,f293]) ).
fof(f767,plain,
( ~ sQ41_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f766]) ).
fof(f768,plain,
! [X0,X1,X2] :
( ~ sQ52_spl
| ~ sQ48_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK1_skl(i2003_11_14_17_15_33836) = X2
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f462,f487]) ).
fof(f769,plain,
! [X0,X1] :
( ~ sQ60_spl
| ~ sQ48_spl
| X0 = X1
| sK5_skl(i2003_11_14_17_15_33836) = X1
| sK5_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f462,f674]) ).
fof(f770,plain,
( sQ53_spl
| ~ sQ48_spl
| sK1_skl(i2003_11_14_17_15_33836) != sK0_skl(i2003_11_14_17_15_33836) ),
inference(backward_demodulation,[status(thm)],[f462,f521]) ).
fof(f771,plain,
( ~ sQ48_spl
| cp(sK1_skl(i2003_11_14_17_15_33836)) ),
inference(backward_demodulation,[status(thm)],[f462,f125]) ).
fof(f772,plain,
( ~ sQ48_spl
| cp1(sK1_skl(i2003_11_14_17_15_33836)) ),
inference(backward_demodulation,[status(thm)],[f462,f126]) ).
fof(f773,plain,
( ~ sQ48_spl
| rr(i2003_11_14_17_15_33836,sK1_skl(i2003_11_14_17_15_33836)) ),
inference(backward_demodulation,[status(thm)],[f462,f124]) ).
fof(f774,plain,
! [X0,X1] :
( ~ sQ50_spl
| ~ sQ48_spl
| X0 = X1
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f462,f470]) ).
fof(f775,plain,
! [X0,X1] :
( ~ sQ55_spl
| ~ sQ48_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f462,f585]) ).
fof(f776,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| ~ sQ40_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X2
| sK3_skl(i2003_11_14_17_15_33836) = X1
| sK3_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f403,f431]) ).
fof(f777,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| ~ sQ40_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X2
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK3_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f403,f570]) ).
fof(f778,plain,
( sQ41_spl
| ~ sQ40_spl
| sK1_skl(i2003_11_14_17_15_33836) != sK2_skl(i2003_11_14_17_15_33836) ),
inference(backward_demodulation,[status(thm)],[f403,f407]) ).
fof(f780,plain,
( sQ59_spl
| ~ sQ40_spl
| sK2_skl(i2003_11_14_17_15_33836) != sK5_skl(i2003_11_14_17_15_33836) ),
inference(backward_demodulation,[status(thm)],[f403,f671]) ).
fof(f781,plain,
! [X0,X1] :
( ~ sQ58_spl
| ~ sQ40_spl
| X0 = X1
| sK5_skl(i2003_11_14_17_15_33836) = X1
| sK5_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK3_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f403,f667]) ).
fof(f782,plain,
( sQ54_spl
| ~ sQ40_spl
| sK2_skl(i2003_11_14_17_15_33836) != sK0_skl(i2003_11_14_17_15_33836) ),
inference(backward_demodulation,[status(thm)],[f403,f564]) ).
fof(f783,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ sQ40_spl
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK3_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f403,f414]) ).
fof(f788,plain,
! [X0,X1] :
( ~ sQ56_spl
| ~ sQ40_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK3_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f403,f606]) ).
fof(f789,plain,
( sQ47_spl
| ~ sQ48_spl
| sK2_skl(i2003_11_14_17_15_33836) != sK1_skl(i2003_11_14_17_15_33836) ),
inference(forward_demodulation,[status(thm)],[f462,f460]) ).
fof(f790,plain,
( ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f224,f491]) ).
fof(f791,plain,
~ sQ48_spl,
inference(contradiction_clause,[status(thm)],[f790]) ).
fof(f792,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| ~ sQ40_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X2
| sK3_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f403,f776]) ).
fof(f793,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| ~ sQ40_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X2
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f403,f792]) ).
fof(f794,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| ~ sQ40_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X2
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f403,f777]) ).
fof(f796,plain,
! [X0,X1] :
( ~ sQ58_spl
| ~ sQ40_spl
| X0 = X1
| sK5_skl(i2003_11_14_17_15_33836) = X1
| sK5_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f403,f781]) ).
fof(f797,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ sQ40_spl
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f403,f783]) ).
fof(f798,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ sQ40_spl
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f797]) ).
fof(f799,plain,
! [X0,X1] :
( ~ sQ56_spl
| ~ sQ40_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f403,f788]) ).
fof(f802,plain,
! [X0,X1] :
( ~ sQ67_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK5_skl(i2003_11_14_17_15_33836) = X1
| sK5_skl(i2003_11_14_17_15_33836) = X0
| sK5_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f708,f119]) ).
fof(f803,plain,
( ~ sQ67_spl
| sQ65_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f802,f687,f690,f707]) ).
fof(f808,plain,
! [X0] :
( ~ sQ64_spl
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK5_skl(i2003_11_14_17_15_33836) = X0
| sK5_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836)
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f688,f119]) ).
fof(f809,definition,
! [X0] :
( sQ68_spl
<=> ( sK0_skl(i2003_11_14_17_15_33836) = X0
| sK5_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f812,plain,
( ~ sQ64_spl
| sQ65_spl
| sQ37_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f808,f809,f370,f690,f687]) ).
fof(f815,plain,
! [X0] :
( ~ sQ49_spl
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836)
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f466,f119]) ).
fof(f816,definition,
! [X0] :
( sQ69_spl
<=> ( sK0_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f817,plain,
! [X0] :
( ~ sQ69_spl
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(component_clause,[status(thm)],[f816]) ).
fof(f819,plain,
( ~ sQ49_spl
| sQ53_spl
| sQ32_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f815,f816,f319,f519,f465]) ).
fof(f820,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ sQ32_spl
| X0 = X1
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f320,f466]) ).
fof(f821,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| ~ sQ32_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X2
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f320,f258]) ).
fof(f822,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| ~ sQ32_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X2
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f320,f763]) ).
fof(f823,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ sQ32_spl
| X0 = X1
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f320,f761]) ).
fof(f824,plain,
! [X0,X1] :
( ~ sQ21_spl
| ~ sQ32_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f320,f759]) ).
fof(f825,plain,
! [X0,X1] :
( ~ sQ42_spl
| ~ sQ40_spl
| ~ sQ32_spl
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f320,f572]) ).
fof(f826,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ32_spl
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f320,f817]) ).
fof(f828,plain,
( sQ48_spl
| ~ sQ32_spl
| sK0_skl(i2003_11_14_17_15_33836) != sK4_skl(i2003_11_14_17_15_33836) ),
inference(backward_demodulation,[status(thm)],[f320,f463]) ).
fof(f832,plain,
( sQ41_spl
| ~ sQ40_spl
| ~ sQ32_spl
| sK0_skl(i2003_11_14_17_15_33836) != sK2_skl(i2003_11_14_17_15_33836) ),
inference(backward_demodulation,[status(thm)],[f320,f778]) ).
fof(f835,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ sQ32_spl
| X0 = X1
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f320,f820]) ).
fof(f836,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| ~ sQ32_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X2
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f320,f821]) ).
fof(f837,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| ~ sQ32_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X2
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f320,f836]) ).
fof(f838,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| ~ sQ32_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X2
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f320,f822]) ).
fof(f839,plain,
! [X0,X1] :
( ~ sQ42_spl
| ~ sQ40_spl
| ~ sQ32_spl
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f320,f825]) ).
fof(f840,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ32_spl
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f826]) ).
fof(f843,plain,
! [X0] :
( ~ sQ60_spl
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK5_skl(i2003_11_14_17_15_33836) = X0
| sK5_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836)
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f674,f119]) ).
fof(f844,definition,
! [X0] :
( sQ70_spl
<=> ( sK0_skl(i2003_11_14_17_15_33836) = X0
| sK5_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f845,plain,
! [X0] :
( ~ sQ70_spl
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK5_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(component_clause,[status(thm)],[f844]) ).
fof(f847,plain,
( ~ sQ60_spl
| sQ65_spl
| sQ53_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f843,f844,f519,f690,f673]) ).
fof(f848,plain,
! [X0,X1] :
( ~ sQ64_spl
| ~ sQ61_spl
| X0 = X1
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK5_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f677,f688]) ).
fof(f849,plain,
! [X0,X1,X2] :
( ~ sQ67_spl
| ~ sQ61_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK4_skl(i2003_11_14_17_15_33836) = X2
| sK5_skl(i2003_11_14_17_15_33836) = X1
| sK5_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f677,f708]) ).
fof(f850,plain,
! [X0,X1] :
( ~ sQ62_spl
| ~ sQ61_spl
| X0 = X1
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK5_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f677,f681]) ).
fof(f851,plain,
( sQ65_spl
| ~ sQ61_spl
| sK0_skl(i2003_11_14_17_15_33836) != sK4_skl(i2003_11_14_17_15_33836) ),
inference(backward_demodulation,[status(thm)],[f677,f692]) ).
fof(f855,plain,
! [X0] :
( ~ sQ70_spl
| ~ sQ61_spl
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f677,f845]) ).
fof(f856,plain,
! [X0] :
( ~ sQ70_spl
| ~ sQ61_spl
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f855]) ).
fof(f857,plain,
! [X0,X1] :
( ~ sQ64_spl
| ~ sQ61_spl
| X0 = X1
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f677,f848]) ).
fof(f858,plain,
! [X0,X1,X2] :
( ~ sQ67_spl
| ~ sQ61_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK4_skl(i2003_11_14_17_15_33836) = X2
| sK5_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f677,f849]) ).
fof(f859,plain,
! [X0,X1,X2] :
( ~ sQ67_spl
| ~ sQ61_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK4_skl(i2003_11_14_17_15_33836) = X2
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f677,f858]) ).
fof(f860,plain,
! [X0,X1] :
( ~ sQ62_spl
| ~ sQ61_spl
| X0 = X1
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f677,f850]) ).
fof(f862,plain,
! [X0,X1] :
( ~ sQ52_spl
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = sK2_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f114,f487]) ).
fof(f863,plain,
! [X0,X1] :
( ~ sQ35_spl
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = sK2_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f114,f341]) ).
fof(f876,plain,
( ~ sQ52_spl
| sQ47_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f862,f469,f458,f486]) ).
fof(f877,plain,
( ~ sQ35_spl
| sQ30_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f863,f309,f312,f340]) ).
fof(f889,plain,
( ~ sQ69_spl
| ~ sQ32_spl
| sK4_skl(i2003_11_14_17_15_33836) = sK2_skl(i2003_11_14_17_15_33836)
| sK0_skl(i2003_11_14_17_15_33836) = sK2_skl(i2003_11_14_17_15_33836) ),
inference(resolution,[status(thm)],[f840,f114]) ).
fof(f890,plain,
( ~ sQ69_spl
| ~ sQ32_spl
| sK4_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836)
| sK0_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836) ),
inference(resolution,[status(thm)],[f840,f119]) ).
fof(f891,plain,
( ~ sQ69_spl
| ~ sQ32_spl
| sQ47_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f889,f312,f458,f319,f816]) ).
fof(f892,plain,
( ~ sQ69_spl
| ~ sQ32_spl
| sQ53_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f890,f370,f519,f319,f816]) ).
fof(f894,plain,
! [X0,X1,X2] :
( ~ sQ52_spl
| ~ sQ47_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X2
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f459,f487]) ).
fof(f895,plain,
( ~ sQ61_spl
| ~ sQ47_spl
| sK2_skl(i2003_11_14_17_15_33836) = sK5_skl(i2003_11_14_17_15_33836) ),
inference(backward_demodulation,[status(thm)],[f459,f677]) ).
fof(f896,plain,
! [X0,X1] :
( ~ sQ50_spl
| ~ sQ47_spl
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f459,f470]) ).
fof(f897,plain,
( ~ sQ47_spl
| rr(i2003_11_14_17_15_33836,sK2_skl(i2003_11_14_17_15_33836)) ),
inference(backward_demodulation,[status(thm)],[f459,f124]) ).
fof(f898,plain,
( ~ sQ47_spl
| cp1(sK2_skl(i2003_11_14_17_15_33836)) ),
inference(backward_demodulation,[status(thm)],[f459,f126]) ).
fof(f899,plain,
( ~ sQ47_spl
| cp(sK2_skl(i2003_11_14_17_15_33836)) ),
inference(backward_demodulation,[status(thm)],[f459,f125]) ).
fof(f900,plain,
( sQ53_spl
| ~ sQ47_spl
| sK2_skl(i2003_11_14_17_15_33836) != sK0_skl(i2003_11_14_17_15_33836) ),
inference(backward_demodulation,[status(thm)],[f459,f521]) ).
fof(f901,plain,
( ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f528,f711]) ).
fof(f902,plain,
~ sQ47_spl,
inference(contradiction_clause,[status(thm)],[f901]) ).
fof(f903,plain,
! [X0,X1] :
( ~ sQ42_spl
| ~ sQ40_spl
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK3_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f403,f410]) ).
fof(f904,plain,
! [X0,X1] :
( ~ sQ56_spl
| ~ sQ40_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK3_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f403,f606]) ).
fof(f909,plain,
( sQ54_spl
| ~ sQ40_spl
| sK2_skl(i2003_11_14_17_15_33836) != sK0_skl(i2003_11_14_17_15_33836) ),
inference(backward_demodulation,[status(thm)],[f403,f564]) ).
fof(f910,plain,
! [X0,X1] :
( ~ sQ58_spl
| ~ sQ40_spl
| X0 = X1
| sK5_skl(i2003_11_14_17_15_33836) = X1
| sK5_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK3_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f403,f667]) ).
fof(f911,plain,
( sQ59_spl
| ~ sQ40_spl
| sK2_skl(i2003_11_14_17_15_33836) != sK5_skl(i2003_11_14_17_15_33836) ),
inference(backward_demodulation,[status(thm)],[f403,f671]) ).
fof(f912,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| ~ sQ40_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X2
| sK3_skl(i2003_11_14_17_15_33836) = X1
| sK3_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f403,f431]) ).
fof(f913,plain,
( sQ41_spl
| ~ sQ40_spl
| sK1_skl(i2003_11_14_17_15_33836) != sK2_skl(i2003_11_14_17_15_33836) ),
inference(forward_demodulation,[status(thm)],[f403,f407]) ).
fof(f914,plain,
! [X0,X1] :
( ~ sQ42_spl
| ~ sQ40_spl
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f403,f903]) ).
fof(f915,plain,
! [X0,X1] :
( ~ sQ56_spl
| ~ sQ40_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f403,f904]) ).
fof(f916,plain,
! [X0,X1] :
( ~ sQ58_spl
| ~ sQ40_spl
| X0 = X1
| sK5_skl(i2003_11_14_17_15_33836) = X1
| sK5_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f403,f910]) ).
fof(f917,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| ~ sQ40_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X2
| sK3_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f403,f912]) ).
fof(f918,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| ~ sQ40_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK2_skl(i2003_11_14_17_15_33836) = X2
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f403,f917]) ).
fof(f919,plain,
( ~ sQ69_spl
| sK0_skl(i2003_11_14_17_15_33836) = sK2_skl(i2003_11_14_17_15_33836)
| sK4_skl(i2003_11_14_17_15_33836) = sK2_skl(i2003_11_14_17_15_33836)
| sK1_skl(i2003_11_14_17_15_33836) = sK2_skl(i2003_11_14_17_15_33836) ),
inference(resolution,[status(thm)],[f817,f114]) ).
fof(f920,plain,
( ~ sQ69_spl
| sK0_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836)
| sK4_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836)
| sK1_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836) ),
inference(resolution,[status(thm)],[f817,f119]) ).
fof(f921,plain,
( ~ sQ69_spl
| sQ30_spl
| sQ47_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f919,f240,f458,f312,f816]) ).
fof(f922,plain,
( ~ sQ69_spl
| sQ37_spl
| sQ53_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f920,f319,f519,f370,f816]) ).
fof(f924,plain,
( sQ22_spl
| ~ sQ32_spl
| sK2_skl(i2003_11_14_17_15_33836) != sK0_skl(i2003_11_14_17_15_33836) ),
inference(backward_demodulation,[status(thm)],[f320,f242]) ).
fof(f930,plain,
( sQ48_spl
| ~ sQ32_spl
| sK0_skl(i2003_11_14_17_15_33836) != sK4_skl(i2003_11_14_17_15_33836) ),
inference(backward_demodulation,[status(thm)],[f320,f463]) ).
fof(f931,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| ~ sQ32_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X2
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f320,f258]) ).
fof(f932,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ sQ32_spl
| X0 = X1
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f320,f466]) ).
fof(f933,plain,
! [X0,X1] :
( ~ sQ21_spl
| ~ sQ32_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK1_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f320,f238]) ).
fof(f934,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| ~ sQ32_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X2
| sK1_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f320,f931]) ).
fof(f935,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| ~ sQ32_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X2
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f320,f934]) ).
fof(f936,plain,
! [X0,X1] :
( ~ sQ49_spl
| ~ sQ32_spl
| X0 = X1
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f320,f932]) ).
fof(f937,plain,
! [X0,X1] :
( ~ sQ21_spl
| ~ sQ32_spl
| X0 = X1
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f320,f933]) ).
fof(f938,plain,
( ~ sQ70_spl
| sK0_skl(i2003_11_14_17_15_33836) = sK2_skl(i2003_11_14_17_15_33836)
| sK5_skl(i2003_11_14_17_15_33836) = sK2_skl(i2003_11_14_17_15_33836)
| sK4_skl(i2003_11_14_17_15_33836) = sK2_skl(i2003_11_14_17_15_33836) ),
inference(resolution,[status(thm)],[f845,f114]) ).
fof(f939,plain,
( ~ sQ70_spl
| sK0_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836)
| sK5_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836)
| sK4_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836) ),
inference(resolution,[status(thm)],[f845,f119]) ).
fof(f940,plain,
( ~ sQ70_spl
| sQ30_spl
| sQ63_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f938,f458,f683,f312,f844]) ).
fof(f941,plain,
( ~ sQ70_spl
| sQ37_spl
| sQ65_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f939,f519,f690,f370,f844]) ).
fof(f943,plain,
( sQ63_spl
| ~ sQ61_spl
| sK2_skl(i2003_11_14_17_15_33836) != sK4_skl(i2003_11_14_17_15_33836) ),
inference(backward_demodulation,[status(thm)],[f677,f685]) ).
fof(f945,plain,
( sQ65_spl
| ~ sQ61_spl
| sK0_skl(i2003_11_14_17_15_33836) != sK4_skl(i2003_11_14_17_15_33836) ),
inference(backward_demodulation,[status(thm)],[f677,f692]) ).
fof(f946,plain,
! [X0,X1] :
( ~ sQ62_spl
| ~ sQ61_spl
| X0 = X1
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK5_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f677,f681]) ).
fof(f947,plain,
! [X0,X1,X2] :
( ~ sQ67_spl
| ~ sQ61_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK4_skl(i2003_11_14_17_15_33836) = X2
| sK5_skl(i2003_11_14_17_15_33836) = X1
| sK5_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f677,f708]) ).
fof(f948,plain,
! [X0,X1] :
( ~ sQ64_spl
| ~ sQ61_spl
| X0 = X1
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK5_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(backward_demodulation,[status(thm)],[f677,f688]) ).
fof(f949,plain,
! [X0,X1] :
( ~ sQ62_spl
| ~ sQ61_spl
| X0 = X1
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X1
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f677,f946]) ).
fof(f950,plain,
! [X0,X1,X2] :
( ~ sQ67_spl
| ~ sQ61_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK4_skl(i2003_11_14_17_15_33836) = X2
| sK5_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f677,f947]) ).
fof(f951,plain,
! [X0,X1,X2] :
( ~ sQ67_spl
| ~ sQ61_spl
| X1 = X2
| X0 = X2
| X0 = X1
| sK4_skl(i2003_11_14_17_15_33836) = X2
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X2)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f677,f950]) ).
fof(f952,plain,
! [X0,X1] :
( ~ sQ64_spl
| ~ sQ61_spl
| X0 = X1
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(forward_demodulation,[status(thm)],[f677,f948]) ).
fof(f953,plain,
( ~ sQ46_spl
| ~ sQ32_spl
| sK4_skl(i2003_11_14_17_15_33836) = sK2_skl(i2003_11_14_17_15_33836)
| sK0_skl(i2003_11_14_17_15_33836) = sK2_skl(i2003_11_14_17_15_33836)
| sK2_skl(i2003_11_14_17_15_33836) = sK2_skl(i2003_11_14_17_15_33836) ),
inference(resolution,[status(thm)],[f762,f114]) ).
fof(f955,plain,
( ~ sQ46_spl
| ~ sQ32_spl
| sQ47_spl
| sQ30_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f953,f211,f312,f458,f319,f455]) ).
fof(f961,plain,
! [X0] :
( ~ sQ29_spl
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = sK2_skl(i2003_11_14_17_15_33836)
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = sK2_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f310,f114]) ).
fof(f962,plain,
! [X0] :
( ~ sQ29_spl
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836)
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f310,f119]) ).
fof(f963,definition,
! [X0] :
( sQ71_spl
<=> ( sK2_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f966,plain,
( ~ sQ29_spl
| sQ30_spl
| sQ19_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f961,f963,f211,f312,f309]) ).
fof(f967,definition,
! [X0] :
( sQ72_spl
<=> ( sK0_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f970,plain,
( ~ sQ29_spl
| sQ37_spl
| sQ30_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f962,f967,f312,f370,f309]) ).
fof(f971,plain,
! [X0] :
( ~ sQ55_spl
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = sK2_skl(i2003_11_14_17_15_33836)
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = sK2_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f585,f114]) ).
fof(f972,plain,
! [X0] :
( ~ sQ55_spl
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836)
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f585,f119]) ).
fof(f973,definition,
! [X0] :
( sQ73_spl
<=> ( sK2_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f974,plain,
! [X0] :
( ~ sQ73_spl
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(component_clause,[status(thm)],[f973]) ).
fof(f976,plain,
( ~ sQ55_spl
| sQ30_spl
| sQ47_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f971,f973,f458,f312,f584]) ).
fof(f977,definition,
! [X0] :
( sQ74_spl
<=> ( sK0_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f980,plain,
( ~ sQ55_spl
| sQ37_spl
| sQ53_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f972,f977,f519,f370,f584]) ).
fof(f981,plain,
! [X0] :
( ~ sQ50_spl
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = sK2_skl(i2003_11_14_17_15_33836)
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = sK2_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f470,f114]) ).
fof(f982,plain,
! [X0] :
( ~ sQ50_spl
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836)
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = sK0_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f470,f119]) ).
fof(f983,definition,
! [X0] :
( sQ75_spl
<=> ( sK2_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f986,plain,
( ~ sQ50_spl
| sQ47_spl
| sQ19_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f981,f983,f211,f458,f469]) ).
fof(f987,plain,
( ~ sQ50_spl
| sQ53_spl
| sQ30_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f982,f973,f312,f519,f469]) ).
fof(f988,plain,
! [X0] :
( ~ sQ50_spl
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = sK4_skl(i2003_11_14_17_15_33836)
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = sK4_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f124,f470]) ).
fof(f989,plain,
! [X0] :
( ~ sQ55_spl
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = sK4_skl(i2003_11_14_17_15_33836)
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = sK4_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f124,f585]) ).
fof(f990,plain,
! [X0] :
( ~ sQ29_spl
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = sK4_skl(i2003_11_14_17_15_33836)
| sK2_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = sK4_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f124,f310]) ).
fof(f991,plain,
! [X0,X1] :
( ~ sQ52_spl
| X0 = X1
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = sK4_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f124,f487]) ).
fof(f992,plain,
( ~ sQ46_spl
| ~ sQ32_spl
| sK4_skl(i2003_11_14_17_15_33836) = sK4_skl(i2003_11_14_17_15_33836)
| sK0_skl(i2003_11_14_17_15_33836) = sK4_skl(i2003_11_14_17_15_33836)
| sK2_skl(i2003_11_14_17_15_33836) = sK4_skl(i2003_11_14_17_15_33836) ),
inference(resolution,[status(thm)],[f124,f762]) ).
fof(f994,plain,
! [X0,X1] :
( ~ sQ35_spl
| X0 = X1
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X1
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = sK4_skl(i2003_11_14_17_15_33836)
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ),
inference(resolution,[status(thm)],[f124,f341]) ).
fof(f1006,definition,
! [X0] :
( sQ76_spl
<=> ( sK4_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK2_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f1009,definition,
( sQ77_spl
<=> sK4_skl(i2003_11_14_17_15_33836) = sK4_skl(i2003_11_14_17_15_33836) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f1012,plain,
( ~ sQ50_spl
| sQ77_spl
| sQ47_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f988,f1006,f458,f1009,f469]) ).
fof(f1013,definition,
! [X0] :
( sQ78_spl
<=> ( sK4_skl(i2003_11_14_17_15_33836) = X0
| sK0_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f1016,plain,
( ~ sQ55_spl
| sQ53_spl
| sQ77_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f989,f1013,f1009,f519,f584]) ).
fof(f1017,plain,
( ~ sQ29_spl
| sQ53_spl
| sQ47_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f990,f973,f458,f519,f309]) ).
fof(f1018,definition,
! [X0,X1] :
( sQ79_spl
<=> ( X0 = X1
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| sK4_skl(i2003_11_14_17_15_33836) = X1
| sK4_skl(i2003_11_14_17_15_33836) = X0
| ~ rr(i2003_11_14_17_15_33836,X1)
| ~ rr(i2003_11_14_17_15_33836,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f1021,plain,
( ~ sQ52_spl
| sQ77_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f991,f1018,f1009,f486]) ).
fof(f1022,plain,
( ~ sQ46_spl
| ~ sQ32_spl
| sQ77_spl
| sQ53_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f992,f458,f519,f1009,f319,f455]) ).
fof(f1024,plain,
( ~ sQ35_spl
| sQ53_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f994,f584,f519,f340]) ).
fof(model,axiom,
( sQ0_spl
| sQ17_spl
| sQ19_spl
| sQ21_spl
| ~ sQ22_spl
| sQ24_spl
| sQ26_spl
| sQ29_spl
| ~ sQ30_spl
| sQ32_spl
| sQ35_spl
| sQ37_spl
| ~ sQ39_spl
| sQ40_spl
| ~ sQ41_spl
| sQ42_spl
| sQ45_spl
| sQ46_spl
| ~ sQ47_spl
| ~ sQ48_spl
| sQ49_spl
| sQ50_spl
| sQ52_spl
| ~ sQ53_spl
| ~ sQ54_spl
| sQ55_spl
| sQ56_spl
| sQ58_spl
| ~ sQ59_spl
| ~ sQ60_spl
| sQ61_spl
| sQ62_spl
| ~ sQ63_spl
| sQ64_spl
| ~ sQ65_spl
| sQ67_spl
| ~ sQ69_spl
| ~ sQ70_spl
| sQ73_spl
| sQ77_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS032+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.54 % Computer : n011.cluster.edu
% 0.11/0.54 % Model : x86_64 x86_64
% 0.11/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.54 % Memory : 8046.5625MB
% 0.11/0.54 % OS : Linux 6.8.0-71-generic
% 0.11/0.54 % CPULimit : 300
% 0.11/0.54 % WCLimit : 300
% 0.11/0.54 % DateTime : Sun Sep 20 22:51:26 UTC 2026
% 0.11/0.54 % CPUTime :
% 0.11/0.55 % Drodi V4.1.1
% 0.14/0.64 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.14/0.64 % SZS output start Saturation for theBenchmark
% See solution above
% 0.14/0.65 % Elapsed time: 0.104453 seconds
% 0.14/0.65 % CPU time: 0.615955 seconds
% 0.14/0.65 % Total memory used: 14.415 MB
% 0.14/0.65 % Net memory used: 13.339 MB
%------------------------------------------------------------------------------