%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : KRS081+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 : Sun Sep 27 07:45:59 AM UTC 2026
% Result : Unsatisfiable 30.55s 4.23s
% Output : CNFRefutation 30.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 10
% Syntax : Number of formulae : 98 ( 34 unt; 0 def)
% Number of atoms : 915 ( 251 equ)
% Maximal formula atoms : 420 ( 9 avg)
% Number of connectives : 1353 ( 536 ~; 666 |; 141 &)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 72 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 1 con; 0-1 aty)
% Number of variables : 307 ( 0 sgn 226 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cp1_substitution_1,axiom,
! [A,B] :
( ( cp1(A)
& A = B )
=> cp1(B) ),
file('theBenchmark.p',cp1_substitution_1) ).
fof(cp3_substitution_1,axiom,
! [A,B] :
( ( cp3(A)
& A = B )
=> cp3(B) ),
file('theBenchmark.p',cp3_substitution_1) ).
fof(cp4_substitution_1,axiom,
! [A,B] :
( ( cp4(A)
& A = B )
=> cp4(B) ),
file('theBenchmark.p',cp4_substitution_1) ).
fof(cp5_substitution_1,axiom,
! [A,B] :
( ( cp5(A)
& A = B )
=> cp5(B) ),
file('theBenchmark.p',cp5_substitution_1) ).
fof(axiom_2,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('theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X] :
( cp1(X)
=> ~ ( cp3(X)
| cp5(X)
| cp4(X)
| cp2(X) ) ),
file('theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X] :
( cp2(X)
=> ~ ( cp3(X)
| cp5(X)
| cp4(X) ) ),
file('theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
! [X] :
( cp3(X)
=> ~ ( cp5(X)
| cp4(X) ) ),
file('theBenchmark.p',axiom_5) ).
fof(axiom_6,axiom,
! [X] :
( cp4(X)
=> ~ cp5(X) ),
file('theBenchmark.p',axiom_6) ).
cnf(c_25,plain,
( cp1(A)
| ~ cp1(B)
| A != B ),
inference(clausify,[status(thm)],[cp1_substitution_1]) ).
cnf(c_27,plain,
( cp3(A)
| ~ cp3(B)
| A != B ),
inference(clausify,[status(thm)],[cp3_substitution_1]) ).
cnf(c_28,plain,
( cp4(A)
| ~ cp4(B)
| A != B ),
inference(clausify,[status(thm)],[cp4_substitution_1]) ).
cnf(c_29,plain,
( cp5(A)
| ~ cp5(B)
| A != B ),
inference(clausify,[status(thm)],[cp5_substitution_1]) ).
fof(nnf_16,plain,
! [X] :
( ( ! [Y] :
( ~ cp2(Y)
| ~ rr(X,Y) )
| ! [X21] :
( ~ cp(X21)
| ~ cp1(X21)
| ~ rr(X,X21) )
| ? [Y0,Y1,Y2,Y3,Y4] :
( Y4 != Y3
& Y4 != Y2
& Y3 != Y2
& Y4 != Y1
& Y3 != Y1
& Y2 != Y1
& Y4 != Y0
& Y3 != Y0
& Y2 != Y0
& Y1 != Y0
& rr(X,Y4)
& rr(X,Y3)
& rr(X,Y2)
& rr(X,Y1)
& rr(X,Y0) )
| ! [X20] :
( ~ cp1(X20)
| ~ rr(X,X20) )
| ! [X19] :
( ~ cp3(X19)
| ~ cp(X19)
| ~ rr(X,X19) )
| ! [X18] :
( ~ cp5(X18)
| ~ rr(X,X18) )
| ! [X17] :
( ~ cp(X17)
| ~ cp2(X17)
| ~ rr(X,X17) )
| ! [X16] :
( ~ cp4(X16)
| ~ rr(X,X16) )
| ! [X15] :
( ~ cp(X15)
| ~ cp4(X15)
| ~ rr(X,X15) )
| ! [X14] :
( ~ cp3(X14)
| ~ rr(X,X14) )
| cUnsatisfiable(X) )
& ( ( ? [X13] :
( cp2(X13)
& rr(X,X13) )
& ? [X12] :
( cp(X12)
& cp1(X12)
& rr(X,X12) )
& ! [X7,X8,X9,X10,X11] :
( X11 = X10
| X11 = X9
| X10 = X9
| X11 = X8
| X10 = X8
| X9 = X8
| X11 = X7
| X10 = X7
| X9 = X7
| X8 = X7
| ~ rr(X,X11)
| ~ rr(X,X10)
| ~ rr(X,X9)
| ~ rr(X,X8)
| ~ rr(X,X7) )
& ? [X6] :
( cp1(X6)
& rr(X,X6) )
& ? [X5] :
( cp3(X5)
& cp(X5)
& rr(X,X5) )
& ? [X4] :
( cp5(X4)
& rr(X,X4) )
& ? [X3] :
( cp(X3)
& cp2(X3)
& rr(X,X3) )
& ? [X2] :
( cp4(X2)
& rr(X,X2) )
& ? [X1] :
( cp(X1)
& cp4(X1)
& rr(X,X1) )
& ? [X0] :
( cp3(X0)
& rr(X,X0) ) )
| ~ cUnsatisfiable(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
fof(sk_axiom_2_sk,plain,
! [X] :
( ( ! [Y] :
( ~ cp2(Y)
| ~ rr(X,Y) )
| ! [X21] :
( ~ cp(X21)
| ~ cp1(X21)
| ~ rr(X,X21) )
| ( sK13(X) != sK12(X)
& sK13(X) != sK11(X)
& sK12(X) != sK11(X)
& sK13(X) != sK10(X)
& sK12(X) != sK10(X)
& sK11(X) != sK10(X)
& sK13(X) != sK9(X)
& sK12(X) != sK9(X)
& sK11(X) != sK9(X)
& sK10(X) != sK9(X)
& rr(X,sK13(X))
& rr(X,sK12(X))
& rr(X,sK11(X))
& rr(X,sK10(X))
& rr(X,sK9(X)) )
| ! [X20] :
( ~ cp1(X20)
| ~ rr(X,X20) )
| ! [X19] :
( ~ cp3(X19)
| ~ cp(X19)
| ~ rr(X,X19) )
| ! [X18] :
( ~ cp5(X18)
| ~ rr(X,X18) )
| ! [X17] :
( ~ cp(X17)
| ~ cp2(X17)
| ~ rr(X,X17) )
| ! [X16] :
( ~ cp4(X16)
| ~ rr(X,X16) )
| ! [X15] :
( ~ cp(X15)
| ~ cp4(X15)
| ~ rr(X,X15) )
| ! [X14] :
( ~ cp3(X14)
| ~ rr(X,X14) )
| cUnsatisfiable(X) )
& ( ( cp2(sK4(X))
& rr(X,sK4(X))
& cp(sK8(X))
& cp1(sK8(X))
& rr(X,sK8(X))
& ! [X7,X8,X9,X10,X11] :
( X11 = X10
| X11 = X9
| X10 = X9
| X11 = X8
| X10 = X8
| X9 = X8
| X11 = X7
| X10 = X7
| X9 = X7
| X8 = X7
| ~ rr(X,X11)
| ~ rr(X,X10)
| ~ rr(X,X9)
| ~ rr(X,X8)
| ~ rr(X,X7) )
& cp1(sK3(X))
& rr(X,sK3(X))
& cp3(sK2(X))
& cp(sK2(X))
& rr(X,sK2(X))
& cp5(sK1(X))
& rr(X,sK1(X))
& cp(sK7(X))
& cp2(sK7(X))
& rr(X,sK7(X))
& cp4(sK6(X))
& rr(X,sK6(X))
& cp(sK0(X))
& cp4(sK0(X))
& rr(X,sK0(X))
& cp3(sK5(X))
& rr(X,sK5(X)) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK0,sK6,sK7,sK1,sK2,sK3,sK8,sK4,sK9,sK10,sK11,sK12,sK13]),skolemize(X0,sK5(X)),skolemize(X1,sK0(X)),skolemize(X2,sK6(X)),skolemize(X3,sK7(X)),skolemize(X4,sK1(X)),skolemize(X5,sK2(X)),skolemize(X6,sK3(X)),skolemize(X12,sK8(X)),skolemize(X13,sK4(X)),skolemize(Y0,sK9(X)),skolemize(Y1,sK10(X)),skolemize(Y2,sK11(X)),skolemize(Y3,sK12(X)),skolemize(Y4,sK13(X))],[nnf_16]) ).
fof(sk_axiom_2,plain,
( ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9] :
( ~ cp2(VAR_9)
| ~ rr(VAR_0,VAR_9)
| ~ cp(VAR_8)
| ~ cp1(VAR_8)
| ~ rr(VAR_0,VAR_8)
| sK13(VAR_0) != sK12(VAR_0)
| ~ cp1(VAR_7)
| ~ rr(VAR_0,VAR_7)
| ~ cp3(VAR_6)
| ~ cp(VAR_6)
| ~ rr(VAR_0,VAR_6)
| ~ cp5(VAR_5)
| ~ rr(VAR_0,VAR_5)
| ~ cp(VAR_4)
| ~ cp2(VAR_4)
| ~ rr(VAR_0,VAR_4)
| ~ cp4(VAR_3)
| ~ rr(VAR_0,VAR_3)
| ~ cp(VAR_2)
| ~ cp4(VAR_2)
| ~ rr(VAR_0,VAR_2)
| ~ cp3(VAR_1)
| ~ rr(VAR_0,VAR_1)
| cUnsatisfiable(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9] :
( ~ cp2(VAR_9)
| ~ rr(VAR_0,VAR_9)
| ~ cp(VAR_8)
| ~ cp1(VAR_8)
| ~ rr(VAR_0,VAR_8)
| sK13(VAR_0) != sK11(VAR_0)
| ~ cp1(VAR_7)
| ~ rr(VAR_0,VAR_7)
| ~ cp3(VAR_6)
| ~ cp(VAR_6)
| ~ rr(VAR_0,VAR_6)
| ~ cp5(VAR_5)
| ~ rr(VAR_0,VAR_5)
| ~ cp(VAR_4)
| ~ cp2(VAR_4)
| ~ rr(VAR_0,VAR_4)
| ~ cp4(VAR_3)
| ~ rr(VAR_0,VAR_3)
| ~ cp(VAR_2)
| ~ cp4(VAR_2)
| ~ rr(VAR_0,VAR_2)
| ~ cp3(VAR_1)
| ~ rr(VAR_0,VAR_1)
| cUnsatisfiable(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9] :
( ~ cp2(VAR_9)
| ~ rr(VAR_0,VAR_9)
| ~ cp(VAR_8)
| ~ cp1(VAR_8)
| ~ rr(VAR_0,VAR_8)
| sK12(VAR_0) != sK11(VAR_0)
| ~ cp1(VAR_7)
| ~ rr(VAR_0,VAR_7)
| ~ cp3(VAR_6)
| ~ cp(VAR_6)
| ~ rr(VAR_0,VAR_6)
| ~ cp5(VAR_5)
| ~ rr(VAR_0,VAR_5)
| ~ cp(VAR_4)
| ~ cp2(VAR_4)
| ~ rr(VAR_0,VAR_4)
| ~ cp4(VAR_3)
| ~ rr(VAR_0,VAR_3)
| ~ cp(VAR_2)
| ~ cp4(VAR_2)
| ~ rr(VAR_0,VAR_2)
| ~ cp3(VAR_1)
| ~ rr(VAR_0,VAR_1)
| cUnsatisfiable(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9] :
( ~ cp2(VAR_9)
| ~ rr(VAR_0,VAR_9)
| ~ cp(VAR_8)
| ~ cp1(VAR_8)
| ~ rr(VAR_0,VAR_8)
| sK13(VAR_0) != sK10(VAR_0)
| ~ cp1(VAR_7)
| ~ rr(VAR_0,VAR_7)
| ~ cp3(VAR_6)
| ~ cp(VAR_6)
| ~ rr(VAR_0,VAR_6)
| ~ cp5(VAR_5)
| ~ rr(VAR_0,VAR_5)
| ~ cp(VAR_4)
| ~ cp2(VAR_4)
| ~ rr(VAR_0,VAR_4)
| ~ cp4(VAR_3)
| ~ rr(VAR_0,VAR_3)
| ~ cp(VAR_2)
| ~ cp4(VAR_2)
| ~ rr(VAR_0,VAR_2)
| ~ cp3(VAR_1)
| ~ rr(VAR_0,VAR_1)
| cUnsatisfiable(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9] :
( ~ cp2(VAR_9)
| ~ rr(VAR_0,VAR_9)
| ~ cp(VAR_8)
| ~ cp1(VAR_8)
| ~ rr(VAR_0,VAR_8)
| sK12(VAR_0) != sK10(VAR_0)
| ~ cp1(VAR_7)
| ~ rr(VAR_0,VAR_7)
| ~ cp3(VAR_6)
| ~ cp(VAR_6)
| ~ rr(VAR_0,VAR_6)
| ~ cp5(VAR_5)
| ~ rr(VAR_0,VAR_5)
| ~ cp(VAR_4)
| ~ cp2(VAR_4)
| ~ rr(VAR_0,VAR_4)
| ~ cp4(VAR_3)
| ~ rr(VAR_0,VAR_3)
| ~ cp(VAR_2)
| ~ cp4(VAR_2)
| ~ rr(VAR_0,VAR_2)
| ~ cp3(VAR_1)
| ~ rr(VAR_0,VAR_1)
| cUnsatisfiable(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9] :
( ~ cp2(VAR_9)
| ~ rr(VAR_0,VAR_9)
| ~ cp(VAR_8)
| ~ cp1(VAR_8)
| ~ rr(VAR_0,VAR_8)
| sK11(VAR_0) != sK10(VAR_0)
| ~ cp1(VAR_7)
| ~ rr(VAR_0,VAR_7)
| ~ cp3(VAR_6)
| ~ cp(VAR_6)
| ~ rr(VAR_0,VAR_6)
| ~ cp5(VAR_5)
| ~ rr(VAR_0,VAR_5)
| ~ cp(VAR_4)
| ~ cp2(VAR_4)
| ~ rr(VAR_0,VAR_4)
| ~ cp4(VAR_3)
| ~ rr(VAR_0,VAR_3)
| ~ cp(VAR_2)
| ~ cp4(VAR_2)
| ~ rr(VAR_0,VAR_2)
| ~ cp3(VAR_1)
| ~ rr(VAR_0,VAR_1)
| cUnsatisfiable(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9] :
( ~ cp2(VAR_9)
| ~ rr(VAR_0,VAR_9)
| ~ cp(VAR_8)
| ~ cp1(VAR_8)
| ~ rr(VAR_0,VAR_8)
| sK13(VAR_0) != sK9(VAR_0)
| ~ cp1(VAR_7)
| ~ rr(VAR_0,VAR_7)
| ~ cp3(VAR_6)
| ~ cp(VAR_6)
| ~ rr(VAR_0,VAR_6)
| ~ cp5(VAR_5)
| ~ rr(VAR_0,VAR_5)
| ~ cp(VAR_4)
| ~ cp2(VAR_4)
| ~ rr(VAR_0,VAR_4)
| ~ cp4(VAR_3)
| ~ rr(VAR_0,VAR_3)
| ~ cp(VAR_2)
| ~ cp4(VAR_2)
| ~ rr(VAR_0,VAR_2)
| ~ cp3(VAR_1)
| ~ rr(VAR_0,VAR_1)
| cUnsatisfiable(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9] :
( ~ cp2(VAR_9)
| ~ rr(VAR_0,VAR_9)
| ~ cp(VAR_8)
| ~ cp1(VAR_8)
| ~ rr(VAR_0,VAR_8)
| sK12(VAR_0) != sK9(VAR_0)
| ~ cp1(VAR_7)
| ~ rr(VAR_0,VAR_7)
| ~ cp3(VAR_6)
| ~ cp(VAR_6)
| ~ rr(VAR_0,VAR_6)
| ~ cp5(VAR_5)
| ~ rr(VAR_0,VAR_5)
| ~ cp(VAR_4)
| ~ cp2(VAR_4)
| ~ rr(VAR_0,VAR_4)
| ~ cp4(VAR_3)
| ~ rr(VAR_0,VAR_3)
| ~ cp(VAR_2)
| ~ cp4(VAR_2)
| ~ rr(VAR_0,VAR_2)
| ~ cp3(VAR_1)
| ~ rr(VAR_0,VAR_1)
| cUnsatisfiable(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9] :
( ~ cp2(VAR_9)
| ~ rr(VAR_0,VAR_9)
| ~ cp(VAR_8)
| ~ cp1(VAR_8)
| ~ rr(VAR_0,VAR_8)
| sK11(VAR_0) != sK9(VAR_0)
| ~ cp1(VAR_7)
| ~ rr(VAR_0,VAR_7)
| ~ cp3(VAR_6)
| ~ cp(VAR_6)
| ~ rr(VAR_0,VAR_6)
| ~ cp5(VAR_5)
| ~ rr(VAR_0,VAR_5)
| ~ cp(VAR_4)
| ~ cp2(VAR_4)
| ~ rr(VAR_0,VAR_4)
| ~ cp4(VAR_3)
| ~ rr(VAR_0,VAR_3)
| ~ cp(VAR_2)
| ~ cp4(VAR_2)
| ~ rr(VAR_0,VAR_2)
| ~ cp3(VAR_1)
| ~ rr(VAR_0,VAR_1)
| cUnsatisfiable(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9] :
( ~ cp2(VAR_9)
| ~ rr(VAR_0,VAR_9)
| ~ cp(VAR_8)
| ~ cp1(VAR_8)
| ~ rr(VAR_0,VAR_8)
| sK10(VAR_0) != sK9(VAR_0)
| ~ cp1(VAR_7)
| ~ rr(VAR_0,VAR_7)
| ~ cp3(VAR_6)
| ~ cp(VAR_6)
| ~ rr(VAR_0,VAR_6)
| ~ cp5(VAR_5)
| ~ rr(VAR_0,VAR_5)
| ~ cp(VAR_4)
| ~ cp2(VAR_4)
| ~ rr(VAR_0,VAR_4)
| ~ cp4(VAR_3)
| ~ rr(VAR_0,VAR_3)
| ~ cp(VAR_2)
| ~ cp4(VAR_2)
| ~ rr(VAR_0,VAR_2)
| ~ cp3(VAR_1)
| ~ rr(VAR_0,VAR_1)
| cUnsatisfiable(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9] :
( ~ cp2(VAR_9)
| ~ rr(VAR_0,VAR_9)
| ~ cp(VAR_8)
| ~ cp1(VAR_8)
| ~ rr(VAR_0,VAR_8)
| rr(VAR_0,sK13(VAR_0))
| ~ cp1(VAR_7)
| ~ rr(VAR_0,VAR_7)
| ~ cp3(VAR_6)
| ~ cp(VAR_6)
| ~ rr(VAR_0,VAR_6)
| ~ cp5(VAR_5)
| ~ rr(VAR_0,VAR_5)
| ~ cp(VAR_4)
| ~ cp2(VAR_4)
| ~ rr(VAR_0,VAR_4)
| ~ cp4(VAR_3)
| ~ rr(VAR_0,VAR_3)
| ~ cp(VAR_2)
| ~ cp4(VAR_2)
| ~ rr(VAR_0,VAR_2)
| ~ cp3(VAR_1)
| ~ rr(VAR_0,VAR_1)
| cUnsatisfiable(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9] :
( ~ cp2(VAR_9)
| ~ rr(VAR_0,VAR_9)
| ~ cp(VAR_8)
| ~ cp1(VAR_8)
| ~ rr(VAR_0,VAR_8)
| rr(VAR_0,sK12(VAR_0))
| ~ cp1(VAR_7)
| ~ rr(VAR_0,VAR_7)
| ~ cp3(VAR_6)
| ~ cp(VAR_6)
| ~ rr(VAR_0,VAR_6)
| ~ cp5(VAR_5)
| ~ rr(VAR_0,VAR_5)
| ~ cp(VAR_4)
| ~ cp2(VAR_4)
| ~ rr(VAR_0,VAR_4)
| ~ cp4(VAR_3)
| ~ rr(VAR_0,VAR_3)
| ~ cp(VAR_2)
| ~ cp4(VAR_2)
| ~ rr(VAR_0,VAR_2)
| ~ cp3(VAR_1)
| ~ rr(VAR_0,VAR_1)
| cUnsatisfiable(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9] :
( ~ cp2(VAR_9)
| ~ rr(VAR_0,VAR_9)
| ~ cp(VAR_8)
| ~ cp1(VAR_8)
| ~ rr(VAR_0,VAR_8)
| rr(VAR_0,sK11(VAR_0))
| ~ cp1(VAR_7)
| ~ rr(VAR_0,VAR_7)
| ~ cp3(VAR_6)
| ~ cp(VAR_6)
| ~ rr(VAR_0,VAR_6)
| ~ cp5(VAR_5)
| ~ rr(VAR_0,VAR_5)
| ~ cp(VAR_4)
| ~ cp2(VAR_4)
| ~ rr(VAR_0,VAR_4)
| ~ cp4(VAR_3)
| ~ rr(VAR_0,VAR_3)
| ~ cp(VAR_2)
| ~ cp4(VAR_2)
| ~ rr(VAR_0,VAR_2)
| ~ cp3(VAR_1)
| ~ rr(VAR_0,VAR_1)
| cUnsatisfiable(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9] :
( ~ cp2(VAR_9)
| ~ rr(VAR_0,VAR_9)
| ~ cp(VAR_8)
| ~ cp1(VAR_8)
| ~ rr(VAR_0,VAR_8)
| rr(VAR_0,sK10(VAR_0))
| ~ cp1(VAR_7)
| ~ rr(VAR_0,VAR_7)
| ~ cp3(VAR_6)
| ~ cp(VAR_6)
| ~ rr(VAR_0,VAR_6)
| ~ cp5(VAR_5)
| ~ rr(VAR_0,VAR_5)
| ~ cp(VAR_4)
| ~ cp2(VAR_4)
| ~ rr(VAR_0,VAR_4)
| ~ cp4(VAR_3)
| ~ rr(VAR_0,VAR_3)
| ~ cp(VAR_2)
| ~ cp4(VAR_2)
| ~ rr(VAR_0,VAR_2)
| ~ cp3(VAR_1)
| ~ rr(VAR_0,VAR_1)
| cUnsatisfiable(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9] :
( ~ cp2(VAR_9)
| ~ rr(VAR_0,VAR_9)
| ~ cp(VAR_8)
| ~ cp1(VAR_8)
| ~ rr(VAR_0,VAR_8)
| rr(VAR_0,sK9(VAR_0))
| ~ cp1(VAR_7)
| ~ rr(VAR_0,VAR_7)
| ~ cp3(VAR_6)
| ~ cp(VAR_6)
| ~ rr(VAR_0,VAR_6)
| ~ cp5(VAR_5)
| ~ rr(VAR_0,VAR_5)
| ~ cp(VAR_4)
| ~ cp2(VAR_4)
| ~ rr(VAR_0,VAR_4)
| ~ cp4(VAR_3)
| ~ rr(VAR_0,VAR_3)
| ~ cp(VAR_2)
| ~ cp4(VAR_2)
| ~ rr(VAR_0,VAR_2)
| ~ cp3(VAR_1)
| ~ rr(VAR_0,VAR_1)
| cUnsatisfiable(VAR_0) )
& ! [VAR_0] :
( cp2(sK4(VAR_0))
| ~ cUnsatisfiable(VAR_0) )
& ! [VAR_0] :
( rr(VAR_0,sK4(VAR_0))
| ~ cUnsatisfiable(VAR_0) )
& ! [VAR_0] :
( cp(sK8(VAR_0))
| ~ cUnsatisfiable(VAR_0) )
& ! [VAR_0] :
( cp1(sK8(VAR_0))
| ~ cUnsatisfiable(VAR_0) )
& ! [VAR_0] :
( rr(VAR_0,sK8(VAR_0))
| ~ cUnsatisfiable(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
( VAR_5 = VAR_4
| VAR_5 = VAR_3
| VAR_4 = VAR_3
| VAR_5 = VAR_2
| VAR_4 = VAR_2
| VAR_3 = VAR_2
| VAR_5 = VAR_1
| VAR_4 = VAR_1
| VAR_3 = VAR_1
| VAR_2 = VAR_1
| ~ rr(VAR_0,VAR_5)
| ~ rr(VAR_0,VAR_4)
| ~ rr(VAR_0,VAR_3)
| ~ rr(VAR_0,VAR_2)
| ~ rr(VAR_0,VAR_1)
| ~ cUnsatisfiable(VAR_0) )
& ! [VAR_0] :
( cp1(sK3(VAR_0))
| ~ cUnsatisfiable(VAR_0) )
& ! [VAR_0] :
( rr(VAR_0,sK3(VAR_0))
| ~ cUnsatisfiable(VAR_0) )
& ! [VAR_0] :
( cp3(sK2(VAR_0))
| ~ cUnsatisfiable(VAR_0) )
& ! [VAR_0] :
( cp(sK2(VAR_0))
| ~ cUnsatisfiable(VAR_0) )
& ! [VAR_0] :
( rr(VAR_0,sK2(VAR_0))
| ~ cUnsatisfiable(VAR_0) )
& ! [VAR_0] :
( cp5(sK1(VAR_0))
| ~ cUnsatisfiable(VAR_0) )
& ! [VAR_0] :
( rr(VAR_0,sK1(VAR_0))
| ~ cUnsatisfiable(VAR_0) )
& ! [VAR_0] :
( cp(sK7(VAR_0))
| ~ cUnsatisfiable(VAR_0) )
& ! [VAR_0] :
( cp2(sK7(VAR_0))
| ~ cUnsatisfiable(VAR_0) )
& ! [VAR_0] :
( rr(VAR_0,sK7(VAR_0))
| ~ cUnsatisfiable(VAR_0) )
& ! [VAR_0] :
( cp4(sK6(VAR_0))
| ~ cUnsatisfiable(VAR_0) )
& ! [VAR_0] :
( rr(VAR_0,sK6(VAR_0))
| ~ cUnsatisfiable(VAR_0) )
& ! [VAR_0] :
( cp(sK0(VAR_0))
| ~ cUnsatisfiable(VAR_0) )
& ! [VAR_0] :
( cp4(sK0(VAR_0))
| ~ cUnsatisfiable(VAR_0) )
& ! [VAR_0] :
( rr(VAR_0,sK0(VAR_0))
| ~ cUnsatisfiable(VAR_0) )
& ! [VAR_0] :
( cp3(sK5(VAR_0))
| ~ cUnsatisfiable(VAR_0) )
& ! [VAR_0] :
( rr(VAR_0,sK5(VAR_0))
| ~ cUnsatisfiable(VAR_0) ) ),
inference(cnf_transformation,[status(thm)],[sk_axiom_2_sk]) ).
cnf(c_40,plain,
( rr(A,sK0(A))
| ~ cUnsatisfiable(A) ),
inference(split_conjunct,[status(thm)],[sk_axiom_2]) ).
cnf(c_41,plain,
( cp4(sK0(A))
| ~ cUnsatisfiable(A) ),
inference(split_conjunct,[status(thm)],[sk_axiom_2]) ).
cnf(c_48,plain,
( rr(A,sK1(A))
| ~ cUnsatisfiable(A) ),
inference(split_conjunct,[status(thm)],[sk_axiom_2]) ).
cnf(c_49,plain,
( cp5(sK1(A))
| ~ cUnsatisfiable(A) ),
inference(split_conjunct,[status(thm)],[sk_axiom_2]) ).
cnf(c_50,plain,
( rr(A,sK2(A))
| ~ cUnsatisfiable(A) ),
inference(split_conjunct,[status(thm)],[sk_axiom_2]) ).
cnf(c_52,plain,
( cp3(sK2(A))
| ~ cUnsatisfiable(A) ),
inference(split_conjunct,[status(thm)],[sk_axiom_2]) ).
cnf(c_53,plain,
( rr(A,sK3(A))
| ~ cUnsatisfiable(A) ),
inference(split_conjunct,[status(thm)],[sk_axiom_2]) ).
cnf(c_54,plain,
( cp1(sK3(A))
| ~ cUnsatisfiable(A) ),
inference(split_conjunct,[status(thm)],[sk_axiom_2]) ).
cnf(c_55,plain,
( F = E
| F = D
| E = D
| F = C
| E = C
| D = C
| F = B
| E = B
| D = B
| C = B
| ~ rr(A,F)
| ~ rr(A,E)
| ~ rr(A,D)
| ~ rr(A,C)
| ~ rr(A,B)
| ~ cUnsatisfiable(A) ),
inference(split_conjunct,[status(thm)],[sk_axiom_2]) ).
cnf(c_59,plain,
( rr(A,sK4(A))
| ~ cUnsatisfiable(A) ),
inference(split_conjunct,[status(thm)],[sk_axiom_2]) ).
cnf(c_60,plain,
( cp2(sK4(A))
| ~ cUnsatisfiable(A) ),
inference(split_conjunct,[status(thm)],[sk_axiom_2]) ).
cnf(c_76,plain,
( ~ cp2(A)
| ~ cp1(A) ),
inference(clausify,[status(thm)],[axiom_3]) ).
cnf(c_77,plain,
( ~ cp4(A)
| ~ cp1(A) ),
inference(clausify,[status(thm)],[axiom_3]) ).
cnf(c_78,plain,
( ~ cp5(A)
| ~ cp1(A) ),
inference(clausify,[status(thm)],[axiom_3]) ).
cnf(c_79,plain,
( ~ cp3(A)
| ~ cp1(A) ),
inference(clausify,[status(thm)],[axiom_3]) ).
cnf(c_80,plain,
( ~ cp4(A)
| ~ cp2(A) ),
inference(clausify,[status(thm)],[axiom_4]) ).
cnf(c_81,plain,
( ~ cp5(A)
| ~ cp2(A) ),
inference(clausify,[status(thm)],[axiom_4]) ).
cnf(c_82,plain,
( ~ cp3(A)
| ~ cp2(A) ),
inference(clausify,[status(thm)],[axiom_4]) ).
cnf(c_83,plain,
( ~ cp4(A)
| ~ cp3(A) ),
inference(clausify,[status(thm)],[axiom_5]) ).
cnf(c_84,plain,
( ~ cp5(A)
| ~ cp3(A) ),
inference(clausify,[status(thm)],[axiom_5]) ).
cnf(c_85,plain,
( ~ cp5(A)
| ~ cp4(A) ),
inference(clausify,[status(thm)],[axiom_6]) ).
fof(axiom_7,axiom,
cUnsatisfiable(i2003_11_14_17_19_24236),
file('theBenchmark.p',axiom_7) ).
cnf(c_86,plain,
cUnsatisfiable(i2003_11_14_17_19_24236),
inference(clausify,[status(thm)],[axiom_7]) ).
cnf(c_313,plain,
cp2(sK4(i2003_11_14_17_19_24236)),
inference(resolve,[status(thm)],[c_86,c_60]) ).
cnf(c_314,plain,
rr(i2003_11_14_17_19_24236,sK4(i2003_11_14_17_19_24236)),
inference(resolve,[status(thm)],[c_86,c_59]) ).
cnf(c_318,plain,
cp1(sK3(i2003_11_14_17_19_24236)),
inference(resolve,[status(thm)],[c_86,c_54]) ).
cnf(c_319,plain,
rr(i2003_11_14_17_19_24236,sK3(i2003_11_14_17_19_24236)),
inference(resolve,[status(thm)],[c_86,c_53]) ).
cnf(c_320,plain,
cp3(sK2(i2003_11_14_17_19_24236)),
inference(resolve,[status(thm)],[c_86,c_52]) ).
cnf(c_322,plain,
rr(i2003_11_14_17_19_24236,sK2(i2003_11_14_17_19_24236)),
inference(resolve,[status(thm)],[c_86,c_50]) ).
cnf(c_323,plain,
cp5(sK1(i2003_11_14_17_19_24236)),
inference(resolve,[status(thm)],[c_86,c_49]) ).
cnf(c_324,plain,
rr(i2003_11_14_17_19_24236,sK1(i2003_11_14_17_19_24236)),
inference(resolve,[status(thm)],[c_86,c_48]) ).
cnf(c_331,plain,
cp4(sK0(i2003_11_14_17_19_24236)),
inference(resolve,[status(thm)],[c_86,c_41]) ).
cnf(c_332,plain,
rr(i2003_11_14_17_19_24236,sK0(i2003_11_14_17_19_24236)),
inference(resolve,[status(thm)],[c_86,c_40]) ).
cnf(c_336,plain,
~ cp1(sK4(i2003_11_14_17_19_24236)),
inference(resolve,[status(thm)],[c_313,c_76]) ).
cnf(c_338,plain,
~ cp3(sK4(i2003_11_14_17_19_24236)),
inference(resolve,[status(thm)],[c_82,c_313]) ).
cnf(c_339,plain,
~ cp5(sK4(i2003_11_14_17_19_24236)),
inference(resolve,[status(thm)],[c_81,c_313]) ).
cnf(c_340,plain,
~ cp4(sK4(i2003_11_14_17_19_24236)),
inference(resolve,[status(thm)],[c_80,c_313]) ).
cnf(c_348,plain,
~ cp3(sK3(i2003_11_14_17_19_24236)),
inference(resolve,[status(thm)],[c_79,c_318]) ).
cnf(c_349,plain,
~ cp5(sK3(i2003_11_14_17_19_24236)),
inference(resolve,[status(thm)],[c_78,c_318]) ).
cnf(c_350,plain,
~ cp4(sK3(i2003_11_14_17_19_24236)),
inference(resolve,[status(thm)],[c_77,c_318]) ).
cnf(c_355,plain,
~ cp5(sK2(i2003_11_14_17_19_24236)),
inference(resolve,[status(thm)],[c_84,c_320]) ).
cnf(c_356,plain,
~ cp4(sK2(i2003_11_14_17_19_24236)),
inference(resolve,[status(thm)],[c_83,c_320]) ).
cnf(c_499,plain,
( cp1(A)
| A != sK3(i2003_11_14_17_19_24236) ),
inference(resolve,[status(thm)],[c_25,c_318]) ).
cnf(c_360,plain,
sK4(i2003_11_14_17_19_24236) != sK3(i2003_11_14_17_19_24236),
inference(resolve,[status(thm)],[c_499,c_336]) ).
cnf(c_500,plain,
( cp3(A)
| A != sK2(i2003_11_14_17_19_24236) ),
inference(resolve,[status(thm)],[c_27,c_320]) ).
cnf(c_362,plain,
sK4(i2003_11_14_17_19_24236) != sK2(i2003_11_14_17_19_24236),
inference(resolve,[status(thm)],[c_500,c_338]) ).
cnf(c_364,plain,
~ cp4(sK1(i2003_11_14_17_19_24236)),
inference(resolve,[status(thm)],[c_323,c_85]) ).
cnf(c_501,plain,
( cp5(A)
| A != sK1(i2003_11_14_17_19_24236) ),
inference(resolve,[status(thm)],[c_29,c_323]) ).
cnf(c_369,plain,
sK4(i2003_11_14_17_19_24236) != sK1(i2003_11_14_17_19_24236),
inference(resolve,[status(thm)],[c_501,c_339]) ).
cnf(c_502,plain,
( cp4(A)
| A != sK0(i2003_11_14_17_19_24236) ),
inference(resolve,[status(thm)],[c_28,c_331]) ).
cnf(c_396,plain,
sK4(i2003_11_14_17_19_24236) != sK0(i2003_11_14_17_19_24236),
inference(resolve,[status(thm)],[c_502,c_340]) ).
cnf(c_503,plain,
( cp3(A)
| A != sK2(i2003_11_14_17_19_24236) ),
inference(resolve,[status(thm)],[c_27,c_320]) ).
cnf(c_411,plain,
sK3(i2003_11_14_17_19_24236) != sK2(i2003_11_14_17_19_24236),
inference(resolve,[status(thm)],[c_503,c_348]) ).
cnf(c_504,plain,
( cp5(A)
| A != sK1(i2003_11_14_17_19_24236) ),
inference(resolve,[status(thm)],[c_29,c_323]) ).
cnf(c_412,plain,
sK3(i2003_11_14_17_19_24236) != sK1(i2003_11_14_17_19_24236),
inference(resolve,[status(thm)],[c_504,c_349]) ).
cnf(c_505,plain,
( cp4(A)
| A != sK0(i2003_11_14_17_19_24236) ),
inference(resolve,[status(thm)],[c_28,c_331]) ).
cnf(c_417,plain,
sK3(i2003_11_14_17_19_24236) != sK0(i2003_11_14_17_19_24236),
inference(resolve,[status(thm)],[c_505,c_350]) ).
cnf(c_506,plain,
( E = D
| E = C
| D = C
| E = B
| D = B
| C = B
| E = A
| D = A
| C = A
| B = A
| ~ rr(i2003_11_14_17_19_24236,E)
| ~ rr(i2003_11_14_17_19_24236,D)
| ~ rr(i2003_11_14_17_19_24236,C)
| ~ rr(i2003_11_14_17_19_24236,B)
| ~ rr(i2003_11_14_17_19_24236,A) ),
inference(resolve,[status(thm)],[c_55,c_86]) ).
cnf(c_507,plain,
( D = C
| D = B
| C = B
| D = A
| C = A
| B = A
| D = sK1(i2003_11_14_17_19_24236)
| C = sK1(i2003_11_14_17_19_24236)
| B = sK1(i2003_11_14_17_19_24236)
| A = sK1(i2003_11_14_17_19_24236)
| ~ rr(i2003_11_14_17_19_24236,D)
| ~ rr(i2003_11_14_17_19_24236,C)
| ~ rr(i2003_11_14_17_19_24236,B)
| ~ rr(i2003_11_14_17_19_24236,A) ),
inference(resolve,[status(thm)],[c_506,c_324]) ).
cnf(c_508,plain,
( C = B
| C = A
| B = A
| C = sK2(i2003_11_14_17_19_24236)
| B = sK2(i2003_11_14_17_19_24236)
| A = sK2(i2003_11_14_17_19_24236)
| C = sK1(i2003_11_14_17_19_24236)
| B = sK1(i2003_11_14_17_19_24236)
| A = sK1(i2003_11_14_17_19_24236)
| sK2(i2003_11_14_17_19_24236) = sK1(i2003_11_14_17_19_24236)
| ~ rr(i2003_11_14_17_19_24236,C)
| ~ rr(i2003_11_14_17_19_24236,B)
| ~ rr(i2003_11_14_17_19_24236,A) ),
inference(resolve,[status(thm)],[c_507,c_322]) ).
cnf(c_509,plain,
( B = A
| B = sK3(i2003_11_14_17_19_24236)
| A = sK3(i2003_11_14_17_19_24236)
| B = sK2(i2003_11_14_17_19_24236)
| A = sK2(i2003_11_14_17_19_24236)
| sK3(i2003_11_14_17_19_24236) = sK2(i2003_11_14_17_19_24236)
| B = sK1(i2003_11_14_17_19_24236)
| A = sK1(i2003_11_14_17_19_24236)
| sK3(i2003_11_14_17_19_24236) = sK1(i2003_11_14_17_19_24236)
| sK2(i2003_11_14_17_19_24236) = sK1(i2003_11_14_17_19_24236)
| ~ rr(i2003_11_14_17_19_24236,B)
| ~ rr(i2003_11_14_17_19_24236,A) ),
inference(resolve,[status(thm)],[c_508,c_319]) ).
cnf(c_510,plain,
( A = sK4(i2003_11_14_17_19_24236)
| A = sK3(i2003_11_14_17_19_24236)
| sK4(i2003_11_14_17_19_24236) = sK3(i2003_11_14_17_19_24236)
| A = sK2(i2003_11_14_17_19_24236)
| sK4(i2003_11_14_17_19_24236) = sK2(i2003_11_14_17_19_24236)
| sK3(i2003_11_14_17_19_24236) = sK2(i2003_11_14_17_19_24236)
| A = sK1(i2003_11_14_17_19_24236)
| sK4(i2003_11_14_17_19_24236) = sK1(i2003_11_14_17_19_24236)
| sK3(i2003_11_14_17_19_24236) = sK1(i2003_11_14_17_19_24236)
| sK2(i2003_11_14_17_19_24236) = sK1(i2003_11_14_17_19_24236)
| ~ rr(i2003_11_14_17_19_24236,A) ),
inference(resolve,[status(thm)],[c_509,c_314]) ).
cnf(c_511,plain,
( sK0(i2003_11_14_17_19_24236) = sK4(i2003_11_14_17_19_24236)
| sK0(i2003_11_14_17_19_24236) = sK3(i2003_11_14_17_19_24236)
| sK4(i2003_11_14_17_19_24236) = sK3(i2003_11_14_17_19_24236)
| sK0(i2003_11_14_17_19_24236) = sK2(i2003_11_14_17_19_24236)
| sK4(i2003_11_14_17_19_24236) = sK2(i2003_11_14_17_19_24236)
| sK3(i2003_11_14_17_19_24236) = sK2(i2003_11_14_17_19_24236)
| sK0(i2003_11_14_17_19_24236) = sK1(i2003_11_14_17_19_24236)
| sK4(i2003_11_14_17_19_24236) = sK1(i2003_11_14_17_19_24236)
| sK3(i2003_11_14_17_19_24236) = sK1(i2003_11_14_17_19_24236)
| sK2(i2003_11_14_17_19_24236) = sK1(i2003_11_14_17_19_24236) ),
inference(resolve,[status(thm)],[c_510,c_332]) ).
cnf(c_512,plain,
( sK0(i2003_11_14_17_19_24236) = sK4(i2003_11_14_17_19_24236)
| sK0(i2003_11_14_17_19_24236) = sK3(i2003_11_14_17_19_24236)
| sK4(i2003_11_14_17_19_24236) = sK3(i2003_11_14_17_19_24236)
| sK0(i2003_11_14_17_19_24236) = sK2(i2003_11_14_17_19_24236)
| sK4(i2003_11_14_17_19_24236) = sK2(i2003_11_14_17_19_24236)
| sK3(i2003_11_14_17_19_24236) = sK2(i2003_11_14_17_19_24236)
| sK1(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236)
| sK4(i2003_11_14_17_19_24236) = sK1(i2003_11_14_17_19_24236)
| sK3(i2003_11_14_17_19_24236) = sK1(i2003_11_14_17_19_24236)
| sK2(i2003_11_14_17_19_24236) = sK1(i2003_11_14_17_19_24236) ),
inference(copy,[status(thm)],[c_511]) ).
cnf(c_513,plain,
( sK0(i2003_11_14_17_19_24236) = sK4(i2003_11_14_17_19_24236)
| sK0(i2003_11_14_17_19_24236) = sK3(i2003_11_14_17_19_24236)
| sK4(i2003_11_14_17_19_24236) = sK3(i2003_11_14_17_19_24236)
| sK2(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236)
| sK4(i2003_11_14_17_19_24236) = sK2(i2003_11_14_17_19_24236)
| sK3(i2003_11_14_17_19_24236) = sK2(i2003_11_14_17_19_24236)
| sK1(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236)
| sK4(i2003_11_14_17_19_24236) = sK1(i2003_11_14_17_19_24236)
| sK3(i2003_11_14_17_19_24236) = sK1(i2003_11_14_17_19_24236)
| sK2(i2003_11_14_17_19_24236) = sK1(i2003_11_14_17_19_24236) ),
inference(copy,[status(thm)],[c_512]) ).
cnf(c_514,plain,
( sK0(i2003_11_14_17_19_24236) = sK4(i2003_11_14_17_19_24236)
| sK3(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236)
| sK4(i2003_11_14_17_19_24236) = sK3(i2003_11_14_17_19_24236)
| sK2(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236)
| sK4(i2003_11_14_17_19_24236) = sK2(i2003_11_14_17_19_24236)
| sK3(i2003_11_14_17_19_24236) = sK2(i2003_11_14_17_19_24236)
| sK1(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236)
| sK4(i2003_11_14_17_19_24236) = sK1(i2003_11_14_17_19_24236)
| sK3(i2003_11_14_17_19_24236) = sK1(i2003_11_14_17_19_24236)
| sK2(i2003_11_14_17_19_24236) = sK1(i2003_11_14_17_19_24236) ),
inference(copy,[status(thm)],[c_513]) ).
cnf(c_515,plain,
( sK4(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236)
| sK3(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236)
| sK4(i2003_11_14_17_19_24236) = sK3(i2003_11_14_17_19_24236)
| sK2(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236)
| sK4(i2003_11_14_17_19_24236) = sK2(i2003_11_14_17_19_24236)
| sK3(i2003_11_14_17_19_24236) = sK2(i2003_11_14_17_19_24236)
| sK1(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236)
| sK4(i2003_11_14_17_19_24236) = sK1(i2003_11_14_17_19_24236)
| sK3(i2003_11_14_17_19_24236) = sK1(i2003_11_14_17_19_24236)
| sK2(i2003_11_14_17_19_24236) = sK1(i2003_11_14_17_19_24236) ),
inference(copy,[status(thm)],[c_514]) ).
cnf(c_516,plain,
( sK4(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236)
| sK3(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236)
| sK4(i2003_11_14_17_19_24236) = sK3(i2003_11_14_17_19_24236)
| sK2(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236)
| sK4(i2003_11_14_17_19_24236) = sK2(i2003_11_14_17_19_24236)
| sK3(i2003_11_14_17_19_24236) = sK2(i2003_11_14_17_19_24236)
| sK1(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236)
| sK4(i2003_11_14_17_19_24236) = sK1(i2003_11_14_17_19_24236)
| sK2(i2003_11_14_17_19_24236) = sK1(i2003_11_14_17_19_24236) ),
inference(resolve,[status(thm)],[c_412,c_515]) ).
cnf(c_517,plain,
( sK4(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236)
| sK3(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236)
| sK4(i2003_11_14_17_19_24236) = sK3(i2003_11_14_17_19_24236)
| sK2(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236)
| sK4(i2003_11_14_17_19_24236) = sK2(i2003_11_14_17_19_24236)
| sK3(i2003_11_14_17_19_24236) = sK2(i2003_11_14_17_19_24236)
| sK1(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236)
| sK2(i2003_11_14_17_19_24236) = sK1(i2003_11_14_17_19_24236) ),
inference(resolve,[status(thm)],[c_369,c_516]) ).
cnf(c_518,plain,
( sK4(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236)
| sK3(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236)
| sK4(i2003_11_14_17_19_24236) = sK3(i2003_11_14_17_19_24236)
| sK2(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236)
| sK4(i2003_11_14_17_19_24236) = sK2(i2003_11_14_17_19_24236)
| sK1(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236)
| sK2(i2003_11_14_17_19_24236) = sK1(i2003_11_14_17_19_24236) ),
inference(resolve,[status(thm)],[c_411,c_517]) ).
cnf(c_519,plain,
( sK4(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236)
| sK3(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236)
| sK4(i2003_11_14_17_19_24236) = sK3(i2003_11_14_17_19_24236)
| sK2(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236)
| sK1(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236)
| sK2(i2003_11_14_17_19_24236) = sK1(i2003_11_14_17_19_24236) ),
inference(resolve,[status(thm)],[c_362,c_518]) ).
cnf(c_520,plain,
( sK4(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236)
| sK3(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236)
| sK2(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236)
| sK1(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236)
| sK2(i2003_11_14_17_19_24236) = sK1(i2003_11_14_17_19_24236) ),
inference(resolve,[status(thm)],[c_360,c_519]) ).
cnf(c_521,plain,
( sK4(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236)
| sK2(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236)
| sK1(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236)
| sK2(i2003_11_14_17_19_24236) = sK1(i2003_11_14_17_19_24236) ),
inference(resolve,[status(thm)],[c_417,c_520]) ).
cnf(c_453,plain,
( sK2(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236)
| sK1(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236)
| sK2(i2003_11_14_17_19_24236) = sK1(i2003_11_14_17_19_24236) ),
inference(resolve,[status(thm)],[c_396,c_521]) ).
cnf(c_522,plain,
( cp5(A)
| A != sK1(i2003_11_14_17_19_24236) ),
inference(resolve,[status(thm)],[c_29,c_323]) ).
cnf(c_483,plain,
sK2(i2003_11_14_17_19_24236) != sK1(i2003_11_14_17_19_24236),
inference(resolve,[status(thm)],[c_522,c_355]) ).
cnf(c_485,plain,
( sK2(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236)
| sK1(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236) ),
inference(resolve,[status(thm)],[c_483,c_453]) ).
cnf(c_523,plain,
( cp4(A)
| A != sK0(i2003_11_14_17_19_24236) ),
inference(resolve,[status(thm)],[c_28,c_331]) ).
cnf(c_491,plain,
sK2(i2003_11_14_17_19_24236) != sK0(i2003_11_14_17_19_24236),
inference(resolve,[status(thm)],[c_523,c_356]) ).
cnf(c_493,plain,
sK1(i2003_11_14_17_19_24236) = sK0(i2003_11_14_17_19_24236),
inference(resolve,[status(thm)],[c_491,c_485]) ).
cnf(c_524,plain,
~ cp4(sK0(i2003_11_14_17_19_24236)),
inference(paramod,[status(thm)],[c_493,c_364]) ).
cnf(c_498,plain,
$false,
inference(resolve,[status(thm)],[c_331,c_524]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS081+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.33 % Computer : n013.cluster.edu
% 0.08/0.33 % Model : x86_64 x86_64
% 0.08/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.33 % Memory : 8046.5625MB
% 0.08/0.33 % OS : Linux 6.8.0-71-generic
% 0.08/0.33 % CPULimit : 300
% 0.08/0.33 % WCLimit : 300
% 0.08/0.33 % DateTime : Fri Sep 25 19:38:06 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.34 % Process 1026721 was started by sandbox2 on n013,
% 0.08/0.34 % Fri Sep 25 19:38:06 2026
% 0.08/0.34 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.12/0.36
% 0.12/0.36 % From the command line: assign(max_seconds, 300).
% 30.55/4.23
% 30.55/4.23 % SZS status Unsatisfiable for theBenchmark
% 30.55/4.23
% 30.55/4.23 % Proof 1 at 3.16 (+ 0.70) seconds.
% 30.55/4.23 % Length of proof is 68.
% 30.55/4.23 % Level of proof is 8.
% 30.55/4.23 % Maximum clause weight is 52.000.
% 30.55/4.23 % Given clauses 104.
% 30.55/4.23
% 30.55/4.23 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------