%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS081+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 12:59:38 PM UTC 2026
% Result : Unsatisfiable 0.23s 1.24s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 35
% Syntax : Number of formulae : 188 ( 24 unt; 29 def)
% Number of atoms : 849 ( 239 equ)
% Maximal formula atoms : 76 ( 4 avg)
% Number of connectives : 1042 ( 381 ~; 460 |; 165 &)
% ( 31 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 41 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 39 ( 37 usr; 30 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 1 con; 0-1 aty)
% Number of variables : 182 ( 136 !; 46 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( cp2(Y)
& rr(X,Y) )
& ? [Y] :
( cp(Y)
& cp1(Y)
& rr(X,Y) )
& ! [Y0,Y1,Y2,Y3,Y4] :
( ( rr(X,Y4)
& rr(X,Y3)
& rr(X,Y2)
& rr(X,Y1)
& rr(X,Y0) )
=> ( Y3 = Y4
| Y2 = Y4
| Y2 = Y3
| Y1 = Y4
| Y1 = Y3
| Y1 = Y2
| Y0 = Y4
| Y0 = Y3
| Y0 = Y2
| Y0 = Y1 ) )
& ? [Y] :
( cp1(Y)
& rr(X,Y) )
& ? [Y] :
( cp3(Y)
& cp(Y)
& rr(X,Y) )
& ? [Y] :
( cp5(Y)
& rr(X,Y) )
& ? [Y] :
( cp(Y)
& cp2(Y)
& rr(X,Y) )
& ? [Y] :
( cp4(Y)
& rr(X,Y) )
& ? [Y] :
( cp(Y)
& cp4(Y)
& rr(X,Y) )
& ? [Y] :
( cp3(Y)
& rr(X,Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X] :
( cp1(X)
=> ~ ( cp3(X)
| cp5(X)
| cp4(X)
| cp2(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X] :
( cp2(X)
=> ~ ( cp3(X)
| cp5(X)
| cp4(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X] :
( cp3(X)
=> ~ ( cp5(X)
| cp4(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X] :
( cp4(X)
=> ~ cp5(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
cUnsatisfiable(i2003_11_14_17_19_24236),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f68,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( cp2(Y)
& rr(X,Y) )
& ? [Y] :
( cp(Y)
& cp1(Y)
& rr(X,Y) )
& ! [Y0,Y1,Y2,Y3,Y4] :
( Y3 = Y4
| Y2 = Y4
| Y2 = Y3
| Y1 = Y4
| Y1 = Y3
| Y1 = Y2
| Y0 = Y4
| Y0 = Y3
| Y0 = Y2
| Y0 = Y1
| ~ rr(X,Y4)
| ~ rr(X,Y3)
| ~ rr(X,Y2)
| ~ rr(X,Y1)
| ~ rr(X,Y0) )
& ? [Y] :
( cp1(Y)
& rr(X,Y) )
& ? [Y] :
( cp3(Y)
& cp(Y)
& rr(X,Y) )
& ? [Y] :
( cp5(Y)
& rr(X,Y) )
& ? [Y] :
( cp(Y)
& cp2(Y)
& rr(X,Y) )
& ? [Y] :
( cp4(Y)
& rr(X,Y) )
& ? [Y] :
( cp(Y)
& cp4(Y)
& rr(X,Y) )
& ? [Y] :
( cp3(Y)
& rr(X,Y) ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f69,plain,
! [X] :
( ( ! [Y] :
( ~ cp2(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp(Y)
| ~ cp1(Y)
| ~ rr(X,Y) )
| ? [Y0,Y1,Y2,Y3,Y4] :
( Y3 != Y4
& Y2 != Y4
& Y2 != Y3
& Y1 != Y4
& Y1 != Y3
& Y1 != Y2
& Y0 != Y4
& Y0 != Y3
& Y0 != Y2
& Y0 != Y1
& rr(X,Y4)
& rr(X,Y3)
& rr(X,Y2)
& rr(X,Y1)
& rr(X,Y0) )
| ! [Y] :
( ~ cp1(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp3(Y)
| ~ cp(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp5(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp(Y)
| ~ cp2(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp4(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp(Y)
| ~ cp4(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp3(Y)
| ~ rr(X,Y) )
| cUnsatisfiable(X) )
& ( ( ? [Y] :
( cp2(Y)
& rr(X,Y) )
& ? [Y] :
( cp(Y)
& cp1(Y)
& rr(X,Y) )
& ! [Y0,Y1,Y2,Y3,Y4] :
( Y3 = Y4
| Y2 = Y4
| Y2 = Y3
| Y1 = Y4
| Y1 = Y3
| Y1 = Y2
| Y0 = Y4
| Y0 = Y3
| Y0 = Y2
| Y0 = Y1
| ~ rr(X,Y4)
| ~ rr(X,Y3)
| ~ rr(X,Y2)
| ~ rr(X,Y1)
| ~ rr(X,Y0) )
& ? [Y] :
( cp1(Y)
& rr(X,Y) )
& ? [Y] :
( cp3(Y)
& cp(Y)
& rr(X,Y) )
& ? [Y] :
( cp5(Y)
& rr(X,Y) )
& ? [Y] :
( cp(Y)
& cp2(Y)
& rr(X,Y) )
& ? [Y] :
( cp4(Y)
& rr(X,Y) )
& ? [Y] :
( cp(Y)
& cp4(Y)
& rr(X,Y) )
& ? [Y] :
( cp3(Y)
& rr(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(NNF_transformation,[status(thm)],[f68]) ).
fof(f70,plain,
( ! [X] :
( ! [Y] :
( ~ cp2(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp(Y)
| ~ cp1(Y)
| ~ rr(X,Y) )
| ? [Y0,Y1,Y2,Y3,Y4] :
( Y3 != Y4
& Y2 != Y4
& Y2 != Y3
& Y1 != Y4
& Y1 != Y3
& Y1 != Y2
& Y0 != Y4
& Y0 != Y3
& Y0 != Y2
& Y0 != Y1
& rr(X,Y4)
& rr(X,Y3)
& rr(X,Y2)
& rr(X,Y1)
& rr(X,Y0) )
| ! [Y] :
( ~ cp1(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp3(Y)
| ~ cp(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp5(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp(Y)
| ~ cp2(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp4(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp(Y)
| ~ cp4(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp3(Y)
| ~ rr(X,Y) )
| cUnsatisfiable(X) )
& ! [X] :
( ( ? [Y] :
( cp2(Y)
& rr(X,Y) )
& ? [Y] :
( cp(Y)
& cp1(Y)
& rr(X,Y) )
& ! [Y0,Y1,Y2,Y3,Y4] :
( Y3 = Y4
| Y2 = Y4
| Y2 = Y3
| Y1 = Y4
| Y1 = Y3
| Y1 = Y2
| Y0 = Y4
| Y0 = Y3
| Y0 = Y2
| Y0 = Y1
| ~ rr(X,Y4)
| ~ rr(X,Y3)
| ~ rr(X,Y2)
| ~ rr(X,Y1)
| ~ rr(X,Y0) )
& ? [Y] :
( cp1(Y)
& rr(X,Y) )
& ? [Y] :
( cp3(Y)
& cp(Y)
& rr(X,Y) )
& ? [Y] :
( cp5(Y)
& rr(X,Y) )
& ? [Y] :
( cp(Y)
& cp2(Y)
& rr(X,Y) )
& ? [Y] :
( cp4(Y)
& rr(X,Y) )
& ? [Y] :
( cp(Y)
& cp4(Y)
& rr(X,Y) )
& ? [Y] :
( cp3(Y)
& rr(X,Y) ) )
| ~ cUnsatisfiable(X) ) ),
inference(miniscoping,[status(thm)],[f69]) ).
fof(f71,plain,
( ! [X] :
( ! [Y] :
( ~ cp2(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp(Y)
| ~ cp1(Y)
| ~ rr(X,Y) )
| ( sK12_skl(X) != sK13_skl(X)
& sK11_skl(X) != sK13_skl(X)
& sK11_skl(X) != sK12_skl(X)
& sK10_skl(X) != sK13_skl(X)
& sK10_skl(X) != sK12_skl(X)
& sK10_skl(X) != sK11_skl(X)
& sK9_skl(X) != sK13_skl(X)
& sK9_skl(X) != sK12_skl(X)
& sK9_skl(X) != sK11_skl(X)
& sK9_skl(X) != sK10_skl(X)
& rr(X,sK13_skl(X))
& rr(X,sK12_skl(X))
& rr(X,sK11_skl(X))
& rr(X,sK10_skl(X))
& rr(X,sK9_skl(X)) )
| ! [Y] :
( ~ cp1(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp3(Y)
| ~ cp(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp5(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp(Y)
| ~ cp2(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp4(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp(Y)
| ~ cp4(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp3(Y)
| ~ rr(X,Y) )
| cUnsatisfiable(X) )
& ! [X] :
( ( cp2(sK8_skl(X))
& rr(X,sK8_skl(X))
& cp(sK7_skl(X))
& cp1(sK7_skl(X))
& rr(X,sK7_skl(X))
& ! [Y0,Y1,Y2,Y3,Y4] :
( Y3 = Y4
| Y2 = Y4
| Y2 = Y3
| Y1 = Y4
| Y1 = Y3
| Y1 = Y2
| Y0 = Y4
| Y0 = Y3
| Y0 = Y2
| Y0 = Y1
| ~ rr(X,Y4)
| ~ rr(X,Y3)
| ~ rr(X,Y2)
| ~ rr(X,Y1)
| ~ rr(X,Y0) )
& cp1(sK6_skl(X))
& rr(X,sK6_skl(X))
& cp3(sK5_skl(X))
& cp(sK5_skl(X))
& rr(X,sK5_skl(X))
& cp5(sK4_skl(X))
& rr(X,sK4_skl(X))
& cp(sK3_skl(X))
& cp2(sK3_skl(X))
& rr(X,sK3_skl(X))
& cp4(sK2_skl(X))
& rr(X,sK2_skl(X))
& cp(sK1_skl(X))
& cp4(sK1_skl(X))
& rr(X,sK1_skl(X))
& cp3(sK0_skl(X))
& rr(X,sK0_skl(X)) )
| ~ cUnsatisfiable(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,sK10_skl,sK11_skl,sK12_skl,sK13_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(Y,sK6_skl(X)),skolemize(Y,sK7_skl(X)),skolemize(Y,sK8_skl(X)),skolemize(Y0,sK9_skl(X)),skolemize(Y1,sK10_skl(X)),skolemize(Y2,sK11_skl(X)),skolemize(Y3,sK12_skl(X)),skolemize(Y4,sK13_skl(X))],[f70]) ).
fof(f72,plain,
! [X0] :
( rr(X0,sK0_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f73,plain,
! [X0] :
( cp3(sK0_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f75,plain,
! [X0] :
( cp4(sK1_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f77,plain,
! [X0] :
( rr(X0,sK2_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f78,plain,
! [X0] :
( cp4(sK2_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f80,plain,
! [X0] :
( cp2(sK3_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f82,plain,
! [X0] :
( rr(X0,sK4_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f83,plain,
! [X0] :
( cp5(sK4_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f87,plain,
! [X0] :
( rr(X0,sK6_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f88,plain,
! [X0] :
( cp1(sK6_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f89,plain,
! [X0,X1,X2,X3,X4,X5] :
( X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X1 = X5
| X1 = X4
| X1 = X3
| X1 = X2
| ~ rr(X0,X5)
| ~ rr(X0,X4)
| ~ rr(X0,X3)
| ~ rr(X0,X2)
| ~ rr(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f90,plain,
! [X0] :
( rr(X0,sK7_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f91,plain,
! [X0] :
( cp1(sK7_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f93,plain,
! [X0] :
( rr(X0,sK8_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f94,plain,
! [X0] :
( cp2(sK8_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f110,plain,
! [X] :
( ( ~ cp3(X)
& ~ cp5(X)
& ~ cp4(X)
& ~ cp2(X) )
| ~ cp1(X) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f111,plain,
! [X0] :
( ~ cp2(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[status(thm)],[f110]) ).
fof(f112,plain,
! [X0] :
( ~ cp4(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[status(thm)],[f110]) ).
fof(f113,plain,
! [X0] :
( ~ cp5(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[status(thm)],[f110]) ).
fof(f114,plain,
! [X0] :
( ~ cp3(X0)
| ~ cp1(X0) ),
inference(cnf_transformation,[status(thm)],[f110]) ).
fof(f115,plain,
! [X] :
( ( ~ cp3(X)
& ~ cp5(X)
& ~ cp4(X) )
| ~ cp2(X) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f116,plain,
! [X0] :
( ~ cp4(X0)
| ~ cp2(X0) ),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f117,plain,
! [X0] :
( ~ cp5(X0)
| ~ cp2(X0) ),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f118,plain,
! [X0] :
( ~ cp3(X0)
| ~ cp2(X0) ),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f119,plain,
! [X] :
( ( ~ cp5(X)
& ~ cp4(X) )
| ~ cp3(X) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f120,plain,
! [X0] :
( ~ cp4(X0)
| ~ cp3(X0) ),
inference(cnf_transformation,[status(thm)],[f119]) ).
fof(f121,plain,
! [X0] :
( ~ cp5(X0)
| ~ cp3(X0) ),
inference(cnf_transformation,[status(thm)],[f119]) ).
fof(f122,plain,
! [X] :
( ~ cp5(X)
| ~ cp4(X) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f123,plain,
! [X0] :
( ~ cp5(X0)
| ~ cp4(X0) ),
inference(cnf_transformation,[status(thm)],[f122]) ).
fof(f124,plain,
cUnsatisfiable(i2003_11_14_17_19_24236),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f126,plain,
! [X0] :
( ~ cp1(sK0_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[status(thm)],[f73,f114]) ).
fof(f127,plain,
cp4(sK1_skl(i2003_11_14_17_19_24236)),
inference(resolution,[status(thm)],[f75,f124]) ).
fof(f130,plain,
~ cp2(sK1_skl(i2003_11_14_17_19_24236)),
inference(resolution,[status(thm)],[f127,f116]) ).
fof(f131,plain,
~ cp1(sK1_skl(i2003_11_14_17_19_24236)),
inference(resolution,[status(thm)],[f127,f112]) ).
fof(f132,plain,
cp4(sK2_skl(i2003_11_14_17_19_24236)),
inference(resolution,[status(thm)],[f78,f124]) ).
fof(f133,plain,
~ cp5(sK2_skl(i2003_11_14_17_19_24236)),
inference(resolution,[status(thm)],[f132,f123]) ).
fof(f134,plain,
~ cp3(sK2_skl(i2003_11_14_17_19_24236)),
inference(resolution,[status(thm)],[f132,f120]) ).
fof(f135,plain,
~ cp2(sK2_skl(i2003_11_14_17_19_24236)),
inference(resolution,[status(thm)],[f132,f116]) ).
fof(f136,plain,
~ cp1(sK2_skl(i2003_11_14_17_19_24236)),
inference(resolution,[status(thm)],[f132,f112]) ).
fof(f137,plain,
cp2(sK3_skl(i2003_11_14_17_19_24236)),
inference(resolution,[status(thm)],[f80,f124]) ).
fof(f141,plain,
! [X0] :
( ~ cp3(sK4_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[status(thm)],[f83,f121]) ).
fof(f143,plain,
! [X0] :
( ~ cp5(sK6_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[status(thm)],[f88,f113]) ).
fof(f144,plain,
! [X0] :
( ~ cp5(sK7_skl(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[status(thm)],[f91,f113]) ).
fof(f145,plain,
cp2(sK8_skl(i2003_11_14_17_19_24236)),
inference(resolution,[status(thm)],[f94,f124]) ).
fof(f146,plain,
~ cp3(sK8_skl(i2003_11_14_17_19_24236)),
inference(resolution,[status(thm)],[f145,f118]) ).
fof(f147,plain,
~ cp5(sK8_skl(i2003_11_14_17_19_24236)),
inference(resolution,[status(thm)],[f145,f117]) ).
fof(f148,plain,
~ cp1(sK8_skl(i2003_11_14_17_19_24236)),
inference(resolution,[status(thm)],[f145,f111]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4] :
( X3 = X4
| X2 = X4
| X2 = X3
| X1 = X4
| X1 = X3
| X1 = X2
| X0 = X4
| X0 = X3
| X0 = X2
| X0 = X1
| ~ rr(i2003_11_14_17_19_24236,X4)
| ~ rr(i2003_11_14_17_19_24236,X3)
| ~ rr(i2003_11_14_17_19_24236,X2)
| ~ rr(i2003_11_14_17_19_24236,X1)
| ~ rr(i2003_11_14_17_19_24236,X0) ),
inference(resolution,[status(thm)],[f89,f124]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( ~ cUnsatisfiable(i2003_11_14_17_19_24236)
| X2 = X3
| X1 = X3
| X1 = X2
| sK8_skl(i2003_11_14_17_19_24236) = X3
| sK8_skl(i2003_11_14_17_19_24236) = X2
| sK8_skl(i2003_11_14_17_19_24236) = X1
| X0 = X3
| X0 = X2
| X0 = X1
| X0 = sK8_skl(i2003_11_14_17_19_24236)
| ~ rr(i2003_11_14_17_19_24236,X3)
| ~ rr(i2003_11_14_17_19_24236,X2)
| ~ rr(i2003_11_14_17_19_24236,X1)
| ~ rr(i2003_11_14_17_19_24236,X0) ),
inference(resolution,[status(thm)],[f149,f93]) ).
fof(f219,definition,
( sQ2_spl
<=> cUnsatisfiable(i2003_11_14_17_19_24236) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f221,plain,
( sQ2_spl
| ~ cUnsatisfiable(i2003_11_14_17_19_24236) ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f223,definition,
! [X0,X1,X2,X3] :
( sQ3_spl
<=> ( X2 = X3
| X1 = X3
| X1 = X2
| sK8_skl(i2003_11_14_17_19_24236) = X3
| sK8_skl(i2003_11_14_17_19_24236) = X2
| sK8_skl(i2003_11_14_17_19_24236) = X1
| X0 = X3
| X0 = X2
| X0 = X1
| X0 = sK8_skl(i2003_11_14_17_19_24236)
| ~ rr(i2003_11_14_17_19_24236,X3)
| ~ rr(i2003_11_14_17_19_24236,X2)
| ~ rr(i2003_11_14_17_19_24236,X1)
| ~ rr(i2003_11_14_17_19_24236,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f224,plain,
! [X0,X1,X2,X3] :
( ~ sQ3_spl
| X2 = X3
| X1 = X3
| X1 = X2
| sK8_skl(i2003_11_14_17_19_24236) = X3
| sK8_skl(i2003_11_14_17_19_24236) = X2
| sK8_skl(i2003_11_14_17_19_24236) = X1
| X0 = X3
| X0 = X2
| X0 = X1
| X0 = sK8_skl(i2003_11_14_17_19_24236)
| ~ rr(i2003_11_14_17_19_24236,X3)
| ~ rr(i2003_11_14_17_19_24236,X2)
| ~ rr(i2003_11_14_17_19_24236,X1)
| ~ rr(i2003_11_14_17_19_24236,X0) ),
inference(component_clause,[status(thm)],[f223]) ).
fof(f226,plain,
( ~ sQ2_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f151,f223,f219]) ).
fof(f414,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f221,f124]) ).
fof(f415,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f414]) ).
fof(f419,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| ~ cUnsatisfiable(i2003_11_14_17_19_24236)
| X1 = X2
| sK7_skl(i2003_11_14_17_19_24236) = X2
| sK7_skl(i2003_11_14_17_19_24236) = X1
| sK8_skl(i2003_11_14_17_19_24236) = X2
| sK8_skl(i2003_11_14_17_19_24236) = X1
| sK8_skl(i2003_11_14_17_19_24236) = sK7_skl(i2003_11_14_17_19_24236)
| X0 = X2
| X0 = X1
| X0 = sK7_skl(i2003_11_14_17_19_24236)
| X0 = sK8_skl(i2003_11_14_17_19_24236)
| ~ rr(i2003_11_14_17_19_24236,X2)
| ~ rr(i2003_11_14_17_19_24236,X1)
| ~ rr(i2003_11_14_17_19_24236,X0) ),
inference(resolution,[status(thm)],[f224,f90]) ).
fof(f466,definition,
( sQ47_spl
<=> sK8_skl(i2003_11_14_17_19_24236) = sK7_skl(i2003_11_14_17_19_24236) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f467,plain,
( ~ sQ47_spl
| sK8_skl(i2003_11_14_17_19_24236) = sK7_skl(i2003_11_14_17_19_24236) ),
inference(component_clause,[status(thm)],[f466]) ).
fof(f470,definition,
! [X0,X1,X2] :
( sQ48_spl
<=> ( X1 = X2
| sK7_skl(i2003_11_14_17_19_24236) = X2
| sK7_skl(i2003_11_14_17_19_24236) = X1
| sK8_skl(i2003_11_14_17_19_24236) = X2
| sK8_skl(i2003_11_14_17_19_24236) = X1
| X0 = X2
| X0 = X1
| X0 = sK7_skl(i2003_11_14_17_19_24236)
| X0 = sK8_skl(i2003_11_14_17_19_24236)
| ~ rr(i2003_11_14_17_19_24236,X2)
| ~ rr(i2003_11_14_17_19_24236,X1)
| ~ rr(i2003_11_14_17_19_24236,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f471,plain,
! [X0,X1,X2] :
( ~ sQ48_spl
| X1 = X2
| sK7_skl(i2003_11_14_17_19_24236) = X2
| sK7_skl(i2003_11_14_17_19_24236) = X1
| sK8_skl(i2003_11_14_17_19_24236) = X2
| sK8_skl(i2003_11_14_17_19_24236) = X1
| X0 = X2
| X0 = X1
| X0 = sK7_skl(i2003_11_14_17_19_24236)
| X0 = sK8_skl(i2003_11_14_17_19_24236)
| ~ rr(i2003_11_14_17_19_24236,X2)
| ~ rr(i2003_11_14_17_19_24236,X1)
| ~ rr(i2003_11_14_17_19_24236,X0) ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f473,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| sQ47_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f419,f470,f466,f219,f223]) ).
fof(f477,definition,
( sQ50_spl
<=> sK8_skl(i2003_11_14_17_19_24236) = sK6_skl(i2003_11_14_17_19_24236) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f478,plain,
( ~ sQ50_spl
| sK8_skl(i2003_11_14_17_19_24236) = sK6_skl(i2003_11_14_17_19_24236) ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f499,definition,
( sQ56_spl
<=> sK8_skl(i2003_11_14_17_19_24236) = sK4_skl(i2003_11_14_17_19_24236) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f500,plain,
( ~ sQ56_spl
| sK8_skl(i2003_11_14_17_19_24236) = sK4_skl(i2003_11_14_17_19_24236) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f521,definition,
( sQ62_spl
<=> sK8_skl(i2003_11_14_17_19_24236) = sK2_skl(i2003_11_14_17_19_24236) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f522,plain,
( ~ sQ62_spl
| sK8_skl(i2003_11_14_17_19_24236) = sK2_skl(i2003_11_14_17_19_24236) ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f532,definition,
( sQ65_spl
<=> sK8_skl(i2003_11_14_17_19_24236) = sK1_skl(i2003_11_14_17_19_24236) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f533,plain,
( ~ sQ65_spl
| sK8_skl(i2003_11_14_17_19_24236) = sK1_skl(i2003_11_14_17_19_24236) ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f543,definition,
( sQ68_spl
<=> sK8_skl(i2003_11_14_17_19_24236) = sK0_skl(i2003_11_14_17_19_24236) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f544,plain,
( ~ sQ68_spl
| sK8_skl(i2003_11_14_17_19_24236) = sK0_skl(i2003_11_14_17_19_24236) ),
inference(component_clause,[status(thm)],[f543]) ).
fof(f605,plain,
( ~ sQ47_spl
| cp1(sK8_skl(i2003_11_14_17_19_24236))
| ~ cUnsatisfiable(i2003_11_14_17_19_24236) ),
inference(paramodulation,[status(thm)],[f467,f91]) ).
fof(f618,definition,
( sQ81_spl
<=> cp1(sK8_skl(i2003_11_14_17_19_24236)) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f619,plain,
( ~ sQ81_spl
| cp1(sK8_skl(i2003_11_14_17_19_24236)) ),
inference(component_clause,[status(thm)],[f618]) ).
fof(f621,plain,
( ~ sQ47_spl
| sQ81_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f605,f219,f618,f466]) ).
fof(f622,plain,
( ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f619,f148]) ).
fof(f623,plain,
~ sQ81_spl,
inference(contradiction_clause,[status(thm)],[f622]) ).
fof(f625,plain,
( ~ sQ50_spl
| ~ cp1(sK6_skl(i2003_11_14_17_19_24236)) ),
inference(backward_demodulation,[status(thm)],[f478,f148]) ).
fof(f638,plain,
( ~ sQ50_spl
| ~ cUnsatisfiable(i2003_11_14_17_19_24236) ),
inference(resolution,[status(thm)],[f625,f88]) ).
fof(f639,plain,
( ~ sQ50_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f638,f219,f477]) ).
fof(f660,plain,
( ~ sQ56_spl
| ~ cp5(sK4_skl(i2003_11_14_17_19_24236)) ),
inference(backward_demodulation,[status(thm)],[f500,f147]) ).
fof(f671,plain,
( ~ sQ56_spl
| ~ cUnsatisfiable(i2003_11_14_17_19_24236) ),
inference(resolution,[status(thm)],[f660,f83]) ).
fof(f672,plain,
( ~ sQ56_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f671,f219,f499]) ).
fof(f699,plain,
( ~ sQ62_spl
| cp2(sK2_skl(i2003_11_14_17_19_24236)) ),
inference(backward_demodulation,[status(thm)],[f522,f145]) ).
fof(f701,plain,
( ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f699,f135]) ).
fof(f702,plain,
~ sQ62_spl,
inference(contradiction_clause,[status(thm)],[f701]) ).
fof(f710,plain,
( ~ sQ65_spl
| ~ cp2(sK8_skl(i2003_11_14_17_19_24236)) ),
inference(backward_demodulation,[status(thm)],[f533,f130]) ).
fof(f716,plain,
( ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f710,f145]) ).
fof(f717,plain,
~ sQ65_spl,
inference(contradiction_clause,[status(thm)],[f716]) ).
fof(f723,plain,
( ~ sQ68_spl
| ~ cp3(sK0_skl(i2003_11_14_17_19_24236)) ),
inference(backward_demodulation,[status(thm)],[f544,f146]) ).
fof(f738,plain,
( ~ sQ68_spl
| ~ cUnsatisfiable(i2003_11_14_17_19_24236) ),
inference(resolution,[status(thm)],[f723,f73]) ).
fof(f739,plain,
( ~ sQ68_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f738,f219,f543]) ).
fof(f771,plain,
! [X0,X1] :
( ~ sQ48_spl
| ~ cUnsatisfiable(i2003_11_14_17_19_24236)
| sK4_skl(i2003_11_14_17_19_24236) = X1
| sK7_skl(i2003_11_14_17_19_24236) = X1
| sK7_skl(i2003_11_14_17_19_24236) = sK4_skl(i2003_11_14_17_19_24236)
| sK8_skl(i2003_11_14_17_19_24236) = X1
| sK8_skl(i2003_11_14_17_19_24236) = sK4_skl(i2003_11_14_17_19_24236)
| X0 = X1
| X0 = sK4_skl(i2003_11_14_17_19_24236)
| X0 = sK7_skl(i2003_11_14_17_19_24236)
| X0 = sK8_skl(i2003_11_14_17_19_24236)
| ~ rr(i2003_11_14_17_19_24236,X1)
| ~ rr(i2003_11_14_17_19_24236,X0) ),
inference(resolution,[status(thm)],[f471,f82]) ).
fof(f805,definition,
( sQ89_spl
<=> sK7_skl(i2003_11_14_17_19_24236) = sK6_skl(i2003_11_14_17_19_24236) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f806,plain,
( ~ sQ89_spl
| sK7_skl(i2003_11_14_17_19_24236) = sK6_skl(i2003_11_14_17_19_24236) ),
inference(component_clause,[status(thm)],[f805]) ).
fof(f827,definition,
( sQ95_spl
<=> sK7_skl(i2003_11_14_17_19_24236) = sK4_skl(i2003_11_14_17_19_24236) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f828,plain,
( ~ sQ95_spl
| sK7_skl(i2003_11_14_17_19_24236) = sK4_skl(i2003_11_14_17_19_24236) ),
inference(component_clause,[status(thm)],[f827]) ).
fof(f831,definition,
! [X0,X1] :
( sQ96_spl
<=> ( sK4_skl(i2003_11_14_17_19_24236) = X1
| sK7_skl(i2003_11_14_17_19_24236) = X1
| sK8_skl(i2003_11_14_17_19_24236) = X1
| X0 = X1
| X0 = sK4_skl(i2003_11_14_17_19_24236)
| X0 = sK7_skl(i2003_11_14_17_19_24236)
| X0 = sK8_skl(i2003_11_14_17_19_24236)
| ~ rr(i2003_11_14_17_19_24236,X1)
| ~ rr(i2003_11_14_17_19_24236,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f832,plain,
! [X0,X1] :
( ~ sQ96_spl
| sK4_skl(i2003_11_14_17_19_24236) = X1
| sK7_skl(i2003_11_14_17_19_24236) = X1
| sK8_skl(i2003_11_14_17_19_24236) = X1
| X0 = X1
| X0 = sK4_skl(i2003_11_14_17_19_24236)
| X0 = sK7_skl(i2003_11_14_17_19_24236)
| X0 = sK8_skl(i2003_11_14_17_19_24236)
| ~ rr(i2003_11_14_17_19_24236,X1)
| ~ rr(i2003_11_14_17_19_24236,X0) ),
inference(component_clause,[status(thm)],[f831]) ).
fof(f834,plain,
( ~ sQ48_spl
| ~ sQ2_spl
| sQ95_spl
| sQ56_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f771,f831,f499,f827,f219,f470]) ).
fof(f849,definition,
( sQ101_spl
<=> sK7_skl(i2003_11_14_17_19_24236) = sK2_skl(i2003_11_14_17_19_24236) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f850,plain,
( ~ sQ101_spl
| sK7_skl(i2003_11_14_17_19_24236) = sK2_skl(i2003_11_14_17_19_24236) ),
inference(component_clause,[status(thm)],[f849]) ).
fof(f871,definition,
( sQ107_spl
<=> sK7_skl(i2003_11_14_17_19_24236) = sK0_skl(i2003_11_14_17_19_24236) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f872,plain,
( ~ sQ107_spl
| sK7_skl(i2003_11_14_17_19_24236) = sK0_skl(i2003_11_14_17_19_24236) ),
inference(component_clause,[status(thm)],[f871]) ).
fof(f895,plain,
( ~ sQ107_spl
| cp1(sK0_skl(i2003_11_14_17_19_24236))
| ~ cUnsatisfiable(i2003_11_14_17_19_24236) ),
inference(paramodulation,[status(thm)],[f872,f91]) ).
fof(f907,definition,
( sQ111_spl
<=> cp1(sK0_skl(i2003_11_14_17_19_24236)) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f908,plain,
( ~ sQ111_spl
| cp1(sK0_skl(i2003_11_14_17_19_24236)) ),
inference(component_clause,[status(thm)],[f907]) ).
fof(f910,plain,
( ~ sQ107_spl
| sQ111_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f895,f219,f907,f871]) ).
fof(f911,plain,
( ~ sQ111_spl
| ~ cUnsatisfiable(i2003_11_14_17_19_24236) ),
inference(resolution,[status(thm)],[f908,f126]) ).
fof(f913,plain,
( ~ sQ111_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f911,f219,f907]) ).
fof(f916,plain,
( ~ sQ95_spl
| ~ cp5(sK4_skl(i2003_11_14_17_19_24236))
| ~ cUnsatisfiable(i2003_11_14_17_19_24236) ),
inference(paramodulation,[status(thm)],[f828,f144]) ).
fof(f920,definition,
( sQ112_spl
<=> cp5(sK4_skl(i2003_11_14_17_19_24236)) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f921,plain,
( ~ sQ112_spl
| cp5(sK4_skl(i2003_11_14_17_19_24236)) ),
inference(component_clause,[status(thm)],[f920]) ).
fof(f922,plain,
( sQ112_spl
| ~ cp5(sK4_skl(i2003_11_14_17_19_24236)) ),
inference(component_clause,[status(thm)],[f920]) ).
fof(f923,plain,
( ~ sQ95_spl
| ~ sQ112_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f916,f219,f920,f827]) ).
fof(f932,plain,
( sQ112_spl
| ~ cUnsatisfiable(i2003_11_14_17_19_24236) ),
inference(resolution,[status(thm)],[f922,f83]) ).
fof(f933,plain,
( sQ112_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f932,f219,f920]) ).
fof(f967,plain,
( ~ sQ89_spl
| cp1(sK6_skl(i2003_11_14_17_19_24236))
| ~ cUnsatisfiable(i2003_11_14_17_19_24236) ),
inference(paramodulation,[status(thm)],[f806,f91]) ).
fof(f977,definition,
( sQ121_spl
<=> cp1(sK6_skl(i2003_11_14_17_19_24236)) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f978,plain,
( ~ sQ121_spl
| cp1(sK6_skl(i2003_11_14_17_19_24236)) ),
inference(component_clause,[status(thm)],[f977]) ).
fof(f980,plain,
( ~ sQ89_spl
| sQ121_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f967,f219,f977,f805]) ).
fof(f1017,plain,
( ~ sQ121_spl
| ~ sQ101_spl
| ~ sQ89_spl
| cp1(sK2_skl(i2003_11_14_17_19_24236)) ),
inference(backward_demodulation,[status(thm)],[f1022,f978]) ).
fof(f1022,plain,
( ~ sQ101_spl
| ~ sQ89_spl
| sK6_skl(i2003_11_14_17_19_24236) = sK2_skl(i2003_11_14_17_19_24236) ),
inference(forward_demodulation,[status(thm)],[f806,f850]) ).
fof(f1026,plain,
( ~ sQ121_spl
| ~ sQ101_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1017,f136]) ).
fof(f1027,plain,
( ~ sQ121_spl
| ~ sQ101_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1026]) ).
fof(f1043,definition,
( sQ130_spl
<=> cp1(sK1_skl(i2003_11_14_17_19_24236)) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1044,plain,
( ~ sQ130_spl
| cp1(sK1_skl(i2003_11_14_17_19_24236)) ),
inference(component_clause,[status(thm)],[f1043]) ).
fof(f1047,plain,
( ~ sQ130_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1044,f131]) ).
fof(f1048,plain,
~ sQ130_spl,
inference(contradiction_clause,[status(thm)],[f1047]) ).
fof(f1105,definition,
( sQ132_spl
<=> sK0_skl(i2003_11_14_17_19_24236) = sK6_skl(i2003_11_14_17_19_24236) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1106,plain,
( ~ sQ132_spl
| sK0_skl(i2003_11_14_17_19_24236) = sK6_skl(i2003_11_14_17_19_24236) ),
inference(component_clause,[status(thm)],[f1105]) ).
fof(f1132,definition,
( sQ139_spl
<=> sK6_skl(i2003_11_14_17_19_24236) = sK4_skl(i2003_11_14_17_19_24236) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1133,plain,
( ~ sQ139_spl
| sK6_skl(i2003_11_14_17_19_24236) = sK4_skl(i2003_11_14_17_19_24236) ),
inference(component_clause,[status(thm)],[f1132]) ).
fof(f1135,definition,
( sQ140_spl
<=> sK0_skl(i2003_11_14_17_19_24236) = sK4_skl(i2003_11_14_17_19_24236) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1136,plain,
( ~ sQ140_spl
| sK0_skl(i2003_11_14_17_19_24236) = sK4_skl(i2003_11_14_17_19_24236) ),
inference(component_clause,[status(thm)],[f1135]) ).
fof(f1155,definition,
( sQ146_spl
<=> sK0_skl(i2003_11_14_17_19_24236) = sK2_skl(i2003_11_14_17_19_24236) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1156,plain,
( ~ sQ146_spl
| sK0_skl(i2003_11_14_17_19_24236) = sK2_skl(i2003_11_14_17_19_24236) ),
inference(component_clause,[status(thm)],[f1155]) ).
fof(f1186,plain,
! [X0] :
( ~ sQ96_spl
| ~ cUnsatisfiable(i2003_11_14_17_19_24236)
| sK4_skl(i2003_11_14_17_19_24236) = sK0_skl(i2003_11_14_17_19_24236)
| sK7_skl(i2003_11_14_17_19_24236) = sK0_skl(i2003_11_14_17_19_24236)
| sK8_skl(i2003_11_14_17_19_24236) = sK0_skl(i2003_11_14_17_19_24236)
| X0 = sK0_skl(i2003_11_14_17_19_24236)
| X0 = sK4_skl(i2003_11_14_17_19_24236)
| X0 = sK7_skl(i2003_11_14_17_19_24236)
| X0 = sK8_skl(i2003_11_14_17_19_24236)
| ~ rr(i2003_11_14_17_19_24236,X0) ),
inference(resolution,[status(thm)],[f832,f72]) ).
fof(f1218,definition,
( sQ159_spl
<=> sK4_skl(i2003_11_14_17_19_24236) = sK2_skl(i2003_11_14_17_19_24236) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1219,plain,
( ~ sQ159_spl
| sK4_skl(i2003_11_14_17_19_24236) = sK2_skl(i2003_11_14_17_19_24236) ),
inference(component_clause,[status(thm)],[f1218]) ).
fof(f1229,definition,
! [X0] :
( sQ162_spl
<=> ( X0 = sK0_skl(i2003_11_14_17_19_24236)
| X0 = sK4_skl(i2003_11_14_17_19_24236)
| X0 = sK7_skl(i2003_11_14_17_19_24236)
| X0 = sK8_skl(i2003_11_14_17_19_24236)
| ~ rr(i2003_11_14_17_19_24236,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f1230,plain,
! [X0] :
( ~ sQ162_spl
| X0 = sK0_skl(i2003_11_14_17_19_24236)
| X0 = sK4_skl(i2003_11_14_17_19_24236)
| X0 = sK7_skl(i2003_11_14_17_19_24236)
| X0 = sK8_skl(i2003_11_14_17_19_24236)
| ~ rr(i2003_11_14_17_19_24236,X0) ),
inference(component_clause,[status(thm)],[f1229]) ).
fof(f1232,plain,
( ~ sQ96_spl
| ~ sQ2_spl
| sQ140_spl
| sQ107_spl
| sQ68_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f1186,f1229,f543,f871,f1135,f219,f831]) ).
fof(f1238,plain,
( ~ sQ140_spl
| ~ cp3(sK0_skl(i2003_11_14_17_19_24236))
| ~ cUnsatisfiable(i2003_11_14_17_19_24236) ),
inference(paramodulation,[status(thm)],[f1136,f141]) ).
fof(f1242,definition,
( sQ163_spl
<=> cp3(sK0_skl(i2003_11_14_17_19_24236)) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f1244,plain,
( sQ163_spl
| ~ cp3(sK0_skl(i2003_11_14_17_19_24236)) ),
inference(component_clause,[status(thm)],[f1242]) ).
fof(f1245,plain,
( ~ sQ140_spl
| ~ sQ163_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1238,f219,f1242,f1135]) ).
fof(f1250,plain,
( sQ163_spl
| ~ cUnsatisfiable(i2003_11_14_17_19_24236) ),
inference(resolution,[status(thm)],[f1244,f73]) ).
fof(f1251,plain,
( sQ163_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1250,f219,f1242]) ).
fof(f1267,plain,
( ~ sQ139_spl
| ~ cp5(sK4_skl(i2003_11_14_17_19_24236))
| ~ cUnsatisfiable(i2003_11_14_17_19_24236) ),
inference(paramodulation,[status(thm)],[f1133,f143]) ).
fof(f1270,plain,
( ~ sQ139_spl
| ~ sQ112_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f1267,f219,f920,f1132]) ).
fof(f1290,definition,
( sQ167_spl
<=> cp1(sK2_skl(i2003_11_14_17_19_24236)) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1291,plain,
( ~ sQ167_spl
| cp1(sK2_skl(i2003_11_14_17_19_24236)) ),
inference(component_clause,[status(thm)],[f1290]) ).
fof(f1295,plain,
( ~ sQ167_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1291,f136]) ).
fof(f1296,plain,
~ sQ167_spl,
inference(contradiction_clause,[status(thm)],[f1295]) ).
fof(f2102,definition,
( sQ264_spl
<=> sK3_skl(i2003_11_14_17_19_24236) = sK2_skl(i2003_11_14_17_19_24236) ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f2103,plain,
( ~ sQ264_spl
| sK3_skl(i2003_11_14_17_19_24236) = sK2_skl(i2003_11_14_17_19_24236) ),
inference(component_clause,[status(thm)],[f2102]) ).
fof(f2113,definition,
( sQ267_spl
<=> sK3_skl(i2003_11_14_17_19_24236) = sK1_skl(i2003_11_14_17_19_24236) ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f2114,plain,
( ~ sQ267_spl
| sK3_skl(i2003_11_14_17_19_24236) = sK1_skl(i2003_11_14_17_19_24236) ),
inference(component_clause,[status(thm)],[f2113]) ).
fof(f2330,plain,
( ~ sQ132_spl
| cp1(sK0_skl(i2003_11_14_17_19_24236))
| ~ cUnsatisfiable(i2003_11_14_17_19_24236) ),
inference(paramodulation,[status(thm)],[f1106,f88]) ).
fof(f2333,plain,
( ~ sQ132_spl
| sQ111_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2330,f219,f907,f1105]) ).
fof(f2792,plain,
( ~ sQ112_spl
| ~ sQ159_spl
| cp5(sK2_skl(i2003_11_14_17_19_24236)) ),
inference(backward_demodulation,[status(thm)],[f1219,f921]) ).
fof(f2800,plain,
( ~ sQ112_spl
| ~ sQ159_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2792,f133]) ).
fof(f2801,plain,
( ~ sQ112_spl
| ~ sQ159_spl ),
inference(contradiction_clause,[status(thm)],[f2800]) ).
fof(f2983,plain,
( ~ sQ264_spl
| cp2(sK2_skl(i2003_11_14_17_19_24236)) ),
inference(backward_demodulation,[status(thm)],[f2103,f137]) ).
fof(f2986,plain,
( ~ sQ264_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2983,f135]) ).
fof(f2987,plain,
~ sQ264_spl,
inference(contradiction_clause,[status(thm)],[f2986]) ).
fof(f2999,plain,
( ~ sQ267_spl
| cp2(sK1_skl(i2003_11_14_17_19_24236)) ),
inference(backward_demodulation,[status(thm)],[f2114,f137]) ).
fof(f3005,plain,
( ~ sQ267_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2999,f130]) ).
fof(f3006,plain,
~ sQ267_spl,
inference(contradiction_clause,[status(thm)],[f3005]) ).
fof(f3023,plain,
( ~ sQ146_spl
| ~ cp3(sK0_skl(i2003_11_14_17_19_24236)) ),
inference(backward_demodulation,[status(thm)],[f1156,f134]) ).
fof(f3027,plain,
( ~ sQ146_spl
| ~ sQ163_spl ),
inference(split_clause,[status(thm)],[f3023,f1242,f1155]) ).
fof(f3219,plain,
( ~ sQ162_spl
| ~ cUnsatisfiable(i2003_11_14_17_19_24236)
| sK6_skl(i2003_11_14_17_19_24236) = sK0_skl(i2003_11_14_17_19_24236)
| sK6_skl(i2003_11_14_17_19_24236) = sK4_skl(i2003_11_14_17_19_24236)
| sK6_skl(i2003_11_14_17_19_24236) = sK7_skl(i2003_11_14_17_19_24236)
| sK6_skl(i2003_11_14_17_19_24236) = sK8_skl(i2003_11_14_17_19_24236) ),
inference(resolution,[status(thm)],[f1230,f87]) ).
fof(f3223,plain,
( ~ sQ162_spl
| ~ cUnsatisfiable(i2003_11_14_17_19_24236)
| sK2_skl(i2003_11_14_17_19_24236) = sK0_skl(i2003_11_14_17_19_24236)
| sK2_skl(i2003_11_14_17_19_24236) = sK4_skl(i2003_11_14_17_19_24236)
| sK2_skl(i2003_11_14_17_19_24236) = sK7_skl(i2003_11_14_17_19_24236)
| sK2_skl(i2003_11_14_17_19_24236) = sK8_skl(i2003_11_14_17_19_24236) ),
inference(resolution,[status(thm)],[f1230,f77]) ).
fof(f3229,plain,
( ~ sQ162_spl
| ~ sQ2_spl
| sQ132_spl
| sQ139_spl
| sQ89_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f3219,f477,f805,f1132,f1105,f219,f1229]) ).
fof(f3233,plain,
( ~ sQ162_spl
| ~ sQ2_spl
| sQ146_spl
| sQ159_spl
| sQ101_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f3223,f521,f849,f1218,f1155,f219,f1229]) ).
fof(f3236,plain,
$false,
inference(sat_refutation,[status(thm)],[f226,f415,f473,f621,f623,f639,f672,f702,f717,f739,f834,f910,f913,f923,f933,f980,f1027,f1048,f1232,f1245,f1251,f1270,f1296,f2333,f2801,f2987,f3006,f3027,f3229,f3233]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS081+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45 % Computer : n020.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Sun Sep 20 22:53:33 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.48 % Drodi V4.1.1
% 0.23/1.24 % Refutation found
% 0.23/1.24 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.23/1.24 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.23/1.27 % Elapsed time: 0.796828 seconds
% 0.23/1.27 % CPU time: 6.066391 seconds
% 0.23/1.27 % Total memory used: 34.311 MB
% 0.23/1.27 % Net memory used: 30.914 MB
%------------------------------------------------------------------------------