%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : KRS080+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 : 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 : Sun Sep 27 07:45:59 AM UTC 2026
% Result : Unsatisfiable 0.89s 0.58s
% Output : CNFRefutation 0.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 8
% Syntax : Number of formulae : 69 ( 24 unt; 0 def)
% Number of atoms : 550 ( 127 equ)
% Maximal formula atoms : 235 ( 7 avg)
% Number of connectives : 796 ( 315 ~; 369 |; 104 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 55 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 1 con; 0-1 aty)
% Number of variables : 198 ( 0 sgn 140 !; 18 ?)
% 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(axiom_2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( cp(Y)
& cp2(Y)
& rr(X,Y) )
& ? [Y] :
( cp3(Y)
& cp(Y)
& rr(X,Y) )
& ? [Y] :
( cp3(Y)
& rr(X,Y) )
& ? [Y] :
( cp2(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] :
( cp4(Y)
& rr(X,Y) )
& ? [Y] :
( cp1(Y)
& rr(X,Y) )
& ? [Y] :
( cp1(Y)
& cp(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) ).
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]) ).
fof(nnf_16,plain,
! [X] :
( ( ! [Y] :
( ~ cp(Y)
| ~ cp2(Y)
| ~ rr(X,Y) )
| ! [X16] :
( ~ cp3(X16)
| ~ cp(X16)
| ~ rr(X,X16) )
| ! [X15] :
( ~ cp3(X15)
| ~ rr(X,X15) )
| ! [X14] :
( ~ cp2(X14)
| ~ rr(X,X14) )
| ? [Y0,Y1,Y2,Y3] :
( Y3 != Y2
& Y3 != Y1
& Y2 != Y1
& Y3 != Y0
& Y2 != Y0
& Y1 != Y0
& rr(X,Y3)
& rr(X,Y2)
& rr(X,Y1)
& rr(X,Y0) )
| ! [X13] :
( ~ cp4(X13)
| ~ rr(X,X13) )
| ! [X12] :
( ~ cp1(X12)
| ~ rr(X,X12) )
| ! [X11] :
( ~ cp1(X11)
| ~ cp(X11)
| ~ rr(X,X11) )
| cUnsatisfiable(X) )
& ( ( ? [X10] :
( cp(X10)
& cp2(X10)
& rr(X,X10) )
& ? [X9] :
( cp3(X9)
& cp(X9)
& rr(X,X9) )
& ? [X8] :
( cp3(X8)
& rr(X,X8) )
& ? [X7] :
( cp2(X7)
& rr(X,X7) )
& ! [X3,X4,X5,X6] :
( X6 = X5
| X6 = X4
| X5 = X4
| X6 = X3
| X5 = X3
| X4 = X3
| ~ rr(X,X6)
| ~ rr(X,X5)
| ~ rr(X,X4)
| ~ rr(X,X3) )
& ? [X2] :
( cp4(X2)
& rr(X,X2) )
& ? [X1] :
( cp1(X1)
& rr(X,X1) )
& ? [X0] :
( cp1(X0)
& cp(X0)
& rr(X,X0) ) )
| ~ cUnsatisfiable(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
fof(sk_axiom_2_sk,plain,
! [X] :
( ( ! [Y] :
( ~ cp(Y)
| ~ cp2(Y)
| ~ rr(X,Y) )
| ! [X16] :
( ~ cp3(X16)
| ~ cp(X16)
| ~ rr(X,X16) )
| ! [X15] :
( ~ cp3(X15)
| ~ rr(X,X15) )
| ! [X14] :
( ~ cp2(X14)
| ~ rr(X,X14) )
| ( sK10(X) != sK9(X)
& sK10(X) != sK8(X)
& sK9(X) != sK8(X)
& sK10(X) != sK7(X)
& sK9(X) != sK7(X)
& sK8(X) != sK7(X)
& rr(X,sK10(X))
& rr(X,sK9(X))
& rr(X,sK8(X))
& rr(X,sK7(X)) )
| ! [X13] :
( ~ cp4(X13)
| ~ rr(X,X13) )
| ! [X12] :
( ~ cp1(X12)
| ~ rr(X,X12) )
| ! [X11] :
( ~ cp1(X11)
| ~ cp(X11)
| ~ rr(X,X11) )
| cUnsatisfiable(X) )
& ( ( cp(sK3(X))
& cp2(sK3(X))
& rr(X,sK3(X))
& cp3(sK2(X))
& cp(sK2(X))
& rr(X,sK2(X))
& cp3(sK6(X))
& rr(X,sK6(X))
& cp2(sK5(X))
& rr(X,sK5(X))
& ! [X3,X4,X5,X6] :
( X6 = X5
| X6 = X4
| X5 = X4
| X6 = X3
| X5 = X3
| X4 = X3
| ~ rr(X,X6)
| ~ rr(X,X5)
| ~ rr(X,X4)
| ~ rr(X,X3) )
& cp4(sK1(X))
& rr(X,sK1(X))
& cp1(sK0(X))
& rr(X,sK0(X))
& cp1(sK4(X))
& cp(sK4(X))
& rr(X,sK4(X)) )
| ~ cUnsatisfiable(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK0,sK1,sK5,sK6,sK2,sK3,sK7,sK8,sK9,sK10]),skolemize(X0,sK4(X)),skolemize(X1,sK0(X)),skolemize(X2,sK1(X)),skolemize(X7,sK5(X)),skolemize(X8,sK6(X)),skolemize(X9,sK2(X)),skolemize(X10,sK3(X)),skolemize(Y0,sK7(X)),skolemize(Y1,sK8(X)),skolemize(Y2,sK9(X)),skolemize(Y3,sK10(X))],[nnf_16]) ).
fof(sk_axiom_2,plain,
( ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7] :
( ~ cp(VAR_7)
| ~ cp2(VAR_7)
| ~ rr(VAR_0,VAR_7)
| ~ cp3(VAR_6)
| ~ cp(VAR_6)
| ~ rr(VAR_0,VAR_6)
| ~ cp3(VAR_5)
| ~ rr(VAR_0,VAR_5)
| ~ cp2(VAR_4)
| ~ rr(VAR_0,VAR_4)
| sK10(VAR_0) != sK9(VAR_0)
| ~ cp4(VAR_3)
| ~ rr(VAR_0,VAR_3)
| ~ cp1(VAR_2)
| ~ rr(VAR_0,VAR_2)
| ~ cp1(VAR_1)
| ~ cp(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] :
( ~ cp(VAR_7)
| ~ cp2(VAR_7)
| ~ rr(VAR_0,VAR_7)
| ~ cp3(VAR_6)
| ~ cp(VAR_6)
| ~ rr(VAR_0,VAR_6)
| ~ cp3(VAR_5)
| ~ rr(VAR_0,VAR_5)
| ~ cp2(VAR_4)
| ~ rr(VAR_0,VAR_4)
| sK10(VAR_0) != sK8(VAR_0)
| ~ cp4(VAR_3)
| ~ rr(VAR_0,VAR_3)
| ~ cp1(VAR_2)
| ~ rr(VAR_0,VAR_2)
| ~ cp1(VAR_1)
| ~ cp(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] :
( ~ cp(VAR_7)
| ~ cp2(VAR_7)
| ~ rr(VAR_0,VAR_7)
| ~ cp3(VAR_6)
| ~ cp(VAR_6)
| ~ rr(VAR_0,VAR_6)
| ~ cp3(VAR_5)
| ~ rr(VAR_0,VAR_5)
| ~ cp2(VAR_4)
| ~ rr(VAR_0,VAR_4)
| sK9(VAR_0) != sK8(VAR_0)
| ~ cp4(VAR_3)
| ~ rr(VAR_0,VAR_3)
| ~ cp1(VAR_2)
| ~ rr(VAR_0,VAR_2)
| ~ cp1(VAR_1)
| ~ cp(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] :
( ~ cp(VAR_7)
| ~ cp2(VAR_7)
| ~ rr(VAR_0,VAR_7)
| ~ cp3(VAR_6)
| ~ cp(VAR_6)
| ~ rr(VAR_0,VAR_6)
| ~ cp3(VAR_5)
| ~ rr(VAR_0,VAR_5)
| ~ cp2(VAR_4)
| ~ rr(VAR_0,VAR_4)
| sK10(VAR_0) != sK7(VAR_0)
| ~ cp4(VAR_3)
| ~ rr(VAR_0,VAR_3)
| ~ cp1(VAR_2)
| ~ rr(VAR_0,VAR_2)
| ~ cp1(VAR_1)
| ~ cp(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] :
( ~ cp(VAR_7)
| ~ cp2(VAR_7)
| ~ rr(VAR_0,VAR_7)
| ~ cp3(VAR_6)
| ~ cp(VAR_6)
| ~ rr(VAR_0,VAR_6)
| ~ cp3(VAR_5)
| ~ rr(VAR_0,VAR_5)
| ~ cp2(VAR_4)
| ~ rr(VAR_0,VAR_4)
| sK9(VAR_0) != sK7(VAR_0)
| ~ cp4(VAR_3)
| ~ rr(VAR_0,VAR_3)
| ~ cp1(VAR_2)
| ~ rr(VAR_0,VAR_2)
| ~ cp1(VAR_1)
| ~ cp(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] :
( ~ cp(VAR_7)
| ~ cp2(VAR_7)
| ~ rr(VAR_0,VAR_7)
| ~ cp3(VAR_6)
| ~ cp(VAR_6)
| ~ rr(VAR_0,VAR_6)
| ~ cp3(VAR_5)
| ~ rr(VAR_0,VAR_5)
| ~ cp2(VAR_4)
| ~ rr(VAR_0,VAR_4)
| sK8(VAR_0) != sK7(VAR_0)
| ~ cp4(VAR_3)
| ~ rr(VAR_0,VAR_3)
| ~ cp1(VAR_2)
| ~ rr(VAR_0,VAR_2)
| ~ cp1(VAR_1)
| ~ cp(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] :
( ~ cp(VAR_7)
| ~ cp2(VAR_7)
| ~ rr(VAR_0,VAR_7)
| ~ cp3(VAR_6)
| ~ cp(VAR_6)
| ~ rr(VAR_0,VAR_6)
| ~ cp3(VAR_5)
| ~ rr(VAR_0,VAR_5)
| ~ cp2(VAR_4)
| ~ rr(VAR_0,VAR_4)
| rr(VAR_0,sK10(VAR_0))
| ~ cp4(VAR_3)
| ~ rr(VAR_0,VAR_3)
| ~ cp1(VAR_2)
| ~ rr(VAR_0,VAR_2)
| ~ cp1(VAR_1)
| ~ cp(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] :
( ~ cp(VAR_7)
| ~ cp2(VAR_7)
| ~ rr(VAR_0,VAR_7)
| ~ cp3(VAR_6)
| ~ cp(VAR_6)
| ~ rr(VAR_0,VAR_6)
| ~ cp3(VAR_5)
| ~ rr(VAR_0,VAR_5)
| ~ cp2(VAR_4)
| ~ rr(VAR_0,VAR_4)
| rr(VAR_0,sK9(VAR_0))
| ~ cp4(VAR_3)
| ~ rr(VAR_0,VAR_3)
| ~ cp1(VAR_2)
| ~ rr(VAR_0,VAR_2)
| ~ cp1(VAR_1)
| ~ cp(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] :
( ~ cp(VAR_7)
| ~ cp2(VAR_7)
| ~ rr(VAR_0,VAR_7)
| ~ cp3(VAR_6)
| ~ cp(VAR_6)
| ~ rr(VAR_0,VAR_6)
| ~ cp3(VAR_5)
| ~ rr(VAR_0,VAR_5)
| ~ cp2(VAR_4)
| ~ rr(VAR_0,VAR_4)
| rr(VAR_0,sK8(VAR_0))
| ~ cp4(VAR_3)
| ~ rr(VAR_0,VAR_3)
| ~ cp1(VAR_2)
| ~ rr(VAR_0,VAR_2)
| ~ cp1(VAR_1)
| ~ cp(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] :
( ~ cp(VAR_7)
| ~ cp2(VAR_7)
| ~ rr(VAR_0,VAR_7)
| ~ cp3(VAR_6)
| ~ cp(VAR_6)
| ~ rr(VAR_0,VAR_6)
| ~ cp3(VAR_5)
| ~ rr(VAR_0,VAR_5)
| ~ cp2(VAR_4)
| ~ rr(VAR_0,VAR_4)
| rr(VAR_0,sK7(VAR_0))
| ~ cp4(VAR_3)
| ~ rr(VAR_0,VAR_3)
| ~ cp1(VAR_2)
| ~ rr(VAR_0,VAR_2)
| ~ cp1(VAR_1)
| ~ cp(VAR_1)
| ~ rr(VAR_0,VAR_1)
| cUnsatisfiable(VAR_0) )
& ! [VAR_0] :
( cp(sK3(VAR_0))
| ~ cUnsatisfiable(VAR_0) )
& ! [VAR_0] :
( cp2(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] :
( cp3(sK6(VAR_0))
| ~ cUnsatisfiable(VAR_0) )
& ! [VAR_0] :
( rr(VAR_0,sK6(VAR_0))
| ~ cUnsatisfiable(VAR_0) )
& ! [VAR_0] :
( cp2(sK5(VAR_0))
| ~ cUnsatisfiable(VAR_0) )
& ! [VAR_0] :
( rr(VAR_0,sK5(VAR_0))
| ~ cUnsatisfiable(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
( VAR_4 = VAR_3
| VAR_4 = VAR_2
| VAR_3 = VAR_2
| VAR_4 = VAR_1
| VAR_3 = VAR_1
| VAR_2 = VAR_1
| ~ 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] :
( cp4(sK1(VAR_0))
| ~ cUnsatisfiable(VAR_0) )
& ! [VAR_0] :
( rr(VAR_0,sK1(VAR_0))
| ~ cUnsatisfiable(VAR_0) )
& ! [VAR_0] :
( cp1(sK0(VAR_0))
| ~ cUnsatisfiable(VAR_0) )
& ! [VAR_0] :
( rr(VAR_0,sK0(VAR_0))
| ~ cUnsatisfiable(VAR_0) )
& ! [VAR_0] :
( cp1(sK4(VAR_0))
| ~ cUnsatisfiable(VAR_0) )
& ! [VAR_0] :
( cp(sK4(VAR_0))
| ~ cUnsatisfiable(VAR_0) )
& ! [VAR_0] :
( rr(VAR_0,sK4(VAR_0))
| ~ cUnsatisfiable(VAR_0) ) ),
inference(cnf_transformation,[status(thm)],[sk_axiom_2_sk]) ).
cnf(c_41,plain,
( rr(A,sK0(A))
| ~ cUnsatisfiable(A) ),
inference(split_conjunct,[status(thm)],[sk_axiom_2]) ).
cnf(c_42,plain,
( cp1(sK0(A))
| ~ cUnsatisfiable(A) ),
inference(split_conjunct,[status(thm)],[sk_axiom_2]) ).
cnf(c_43,plain,
( rr(A,sK1(A))
| ~ cUnsatisfiable(A) ),
inference(split_conjunct,[status(thm)],[sk_axiom_2]) ).
cnf(c_44,plain,
( cp4(sK1(A))
| ~ cUnsatisfiable(A) ),
inference(split_conjunct,[status(thm)],[sk_axiom_2]) ).
cnf(c_45,plain,
( E = D
| E = C
| D = C
| E = B
| D = B
| C = B
| ~ rr(A,E)
| ~ rr(A,D)
| ~ rr(A,C)
| ~ rr(A,B)
| ~ 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,
( cp2(sK3(A))
| ~ cUnsatisfiable(A) ),
inference(split_conjunct,[status(thm)],[sk_axiom_2]) ).
cnf(c_66,plain,
( ~ cp2(A)
| ~ cp1(A) ),
inference(clausify,[status(thm)],[axiom_3]) ).
cnf(c_67,plain,
( ~ cp4(A)
| ~ cp1(A) ),
inference(clausify,[status(thm)],[axiom_3]) ).
cnf(c_69,plain,
( ~ cp3(A)
| ~ cp1(A) ),
inference(clausify,[status(thm)],[axiom_3]) ).
cnf(c_70,plain,
( ~ cp4(A)
| ~ cp2(A) ),
inference(clausify,[status(thm)],[axiom_4]) ).
cnf(c_72,plain,
( ~ cp3(A)
| ~ cp2(A) ),
inference(clausify,[status(thm)],[axiom_4]) ).
cnf(c_73,plain,
( ~ cp4(A)
| ~ cp3(A) ),
inference(clausify,[status(thm)],[axiom_5]) ).
fof(axiom_7,axiom,
cUnsatisfiable(i2003_11_14_17_19_21224),
file('theBenchmark.p',axiom_7) ).
cnf(c_76,plain,
cUnsatisfiable(i2003_11_14_17_19_21224),
inference(clausify,[status(thm)],[axiom_7]) ).
cnf(c_149,plain,
cp2(sK3(i2003_11_14_17_19_21224)),
inference(resolve,[status(thm)],[c_76,c_54]) ).
cnf(c_150,plain,
rr(i2003_11_14_17_19_21224,sK3(i2003_11_14_17_19_21224)),
inference(resolve,[status(thm)],[c_76,c_53]) ).
cnf(c_151,plain,
cp3(sK2(i2003_11_14_17_19_21224)),
inference(resolve,[status(thm)],[c_76,c_52]) ).
cnf(c_153,plain,
rr(i2003_11_14_17_19_21224,sK2(i2003_11_14_17_19_21224)),
inference(resolve,[status(thm)],[c_76,c_50]) ).
cnf(c_158,plain,
cp4(sK1(i2003_11_14_17_19_21224)),
inference(resolve,[status(thm)],[c_76,c_44]) ).
cnf(c_159,plain,
rr(i2003_11_14_17_19_21224,sK1(i2003_11_14_17_19_21224)),
inference(resolve,[status(thm)],[c_76,c_43]) ).
cnf(c_160,plain,
cp1(sK0(i2003_11_14_17_19_21224)),
inference(resolve,[status(thm)],[c_76,c_42]) ).
cnf(c_161,plain,
rr(i2003_11_14_17_19_21224,sK0(i2003_11_14_17_19_21224)),
inference(resolve,[status(thm)],[c_76,c_41]) ).
cnf(c_167,plain,
~ cp1(sK3(i2003_11_14_17_19_21224)),
inference(resolve,[status(thm)],[c_149,c_66]) ).
cnf(c_169,plain,
~ cp3(sK3(i2003_11_14_17_19_21224)),
inference(resolve,[status(thm)],[c_72,c_149]) ).
cnf(c_171,plain,
~ cp4(sK3(i2003_11_14_17_19_21224)),
inference(resolve,[status(thm)],[c_70,c_149]) ).
cnf(c_173,plain,
~ cp1(sK2(i2003_11_14_17_19_21224)),
inference(resolve,[status(thm)],[c_151,c_69]) ).
cnf(c_176,plain,
~ cp4(sK2(i2003_11_14_17_19_21224)),
inference(resolve,[status(thm)],[c_73,c_151]) ).
cnf(c_247,plain,
( cp3(A)
| A != sK2(i2003_11_14_17_19_21224) ),
inference(resolve,[status(thm)],[c_27,c_151]) ).
cnf(c_187,plain,
sK3(i2003_11_14_17_19_21224) != sK2(i2003_11_14_17_19_21224),
inference(resolve,[status(thm)],[c_247,c_169]) ).
cnf(c_195,plain,
~ cp1(sK1(i2003_11_14_17_19_21224)),
inference(resolve,[status(thm)],[c_158,c_67]) ).
cnf(c_248,plain,
( cp4(A)
| A != sK1(i2003_11_14_17_19_21224) ),
inference(resolve,[status(thm)],[c_28,c_158]) ).
cnf(c_198,plain,
sK3(i2003_11_14_17_19_21224) != sK1(i2003_11_14_17_19_21224),
inference(resolve,[status(thm)],[c_248,c_171]) ).
cnf(c_249,plain,
( cp1(A)
| A != sK0(i2003_11_14_17_19_21224) ),
inference(resolve,[status(thm)],[c_25,c_160]) ).
cnf(c_204,plain,
sK3(i2003_11_14_17_19_21224) != sK0(i2003_11_14_17_19_21224),
inference(resolve,[status(thm)],[c_249,c_167]) ).
cnf(c_250,plain,
( cp1(A)
| A != sK0(i2003_11_14_17_19_21224) ),
inference(resolve,[status(thm)],[c_25,c_160]) ).
cnf(c_217,plain,
sK2(i2003_11_14_17_19_21224) != sK0(i2003_11_14_17_19_21224),
inference(resolve,[status(thm)],[c_250,c_173]) ).
cnf(c_251,plain,
( cp4(A)
| A != sK1(i2003_11_14_17_19_21224) ),
inference(resolve,[status(thm)],[c_28,c_158]) ).
cnf(c_218,plain,
sK2(i2003_11_14_17_19_21224) != sK1(i2003_11_14_17_19_21224),
inference(resolve,[status(thm)],[c_251,c_176]) ).
cnf(c_252,plain,
( D = C
| D = B
| C = B
| D = A
| C = A
| B = A
| ~ rr(i2003_11_14_17_19_21224,D)
| ~ rr(i2003_11_14_17_19_21224,C)
| ~ rr(i2003_11_14_17_19_21224,B)
| ~ rr(i2003_11_14_17_19_21224,A) ),
inference(resolve,[status(thm)],[c_45,c_76]) ).
cnf(c_253,plain,
( C = B
| C = A
| B = A
| C = sK1(i2003_11_14_17_19_21224)
| B = sK1(i2003_11_14_17_19_21224)
| A = sK1(i2003_11_14_17_19_21224)
| ~ rr(i2003_11_14_17_19_21224,C)
| ~ rr(i2003_11_14_17_19_21224,B)
| ~ rr(i2003_11_14_17_19_21224,A) ),
inference(resolve,[status(thm)],[c_252,c_159]) ).
cnf(c_254,plain,
( B = A
| B = sK2(i2003_11_14_17_19_21224)
| A = sK2(i2003_11_14_17_19_21224)
| B = sK1(i2003_11_14_17_19_21224)
| A = sK1(i2003_11_14_17_19_21224)
| sK2(i2003_11_14_17_19_21224) = sK1(i2003_11_14_17_19_21224)
| ~ rr(i2003_11_14_17_19_21224,B)
| ~ rr(i2003_11_14_17_19_21224,A) ),
inference(resolve,[status(thm)],[c_253,c_153]) ).
cnf(c_255,plain,
( A = sK3(i2003_11_14_17_19_21224)
| A = sK2(i2003_11_14_17_19_21224)
| sK3(i2003_11_14_17_19_21224) = sK2(i2003_11_14_17_19_21224)
| A = sK1(i2003_11_14_17_19_21224)
| sK3(i2003_11_14_17_19_21224) = sK1(i2003_11_14_17_19_21224)
| sK2(i2003_11_14_17_19_21224) = sK1(i2003_11_14_17_19_21224)
| ~ rr(i2003_11_14_17_19_21224,A) ),
inference(resolve,[status(thm)],[c_254,c_150]) ).
cnf(c_256,plain,
( sK0(i2003_11_14_17_19_21224) = sK3(i2003_11_14_17_19_21224)
| sK0(i2003_11_14_17_19_21224) = sK2(i2003_11_14_17_19_21224)
| sK3(i2003_11_14_17_19_21224) = sK2(i2003_11_14_17_19_21224)
| sK0(i2003_11_14_17_19_21224) = sK1(i2003_11_14_17_19_21224)
| sK3(i2003_11_14_17_19_21224) = sK1(i2003_11_14_17_19_21224)
| sK2(i2003_11_14_17_19_21224) = sK1(i2003_11_14_17_19_21224) ),
inference(resolve,[status(thm)],[c_255,c_161]) ).
cnf(c_257,plain,
( sK0(i2003_11_14_17_19_21224) = sK3(i2003_11_14_17_19_21224)
| sK0(i2003_11_14_17_19_21224) = sK2(i2003_11_14_17_19_21224)
| sK3(i2003_11_14_17_19_21224) = sK2(i2003_11_14_17_19_21224)
| sK1(i2003_11_14_17_19_21224) = sK0(i2003_11_14_17_19_21224)
| sK3(i2003_11_14_17_19_21224) = sK1(i2003_11_14_17_19_21224)
| sK2(i2003_11_14_17_19_21224) = sK1(i2003_11_14_17_19_21224) ),
inference(copy,[status(thm)],[c_256]) ).
cnf(c_258,plain,
( sK0(i2003_11_14_17_19_21224) = sK3(i2003_11_14_17_19_21224)
| sK2(i2003_11_14_17_19_21224) = sK0(i2003_11_14_17_19_21224)
| sK3(i2003_11_14_17_19_21224) = sK2(i2003_11_14_17_19_21224)
| sK1(i2003_11_14_17_19_21224) = sK0(i2003_11_14_17_19_21224)
| sK3(i2003_11_14_17_19_21224) = sK1(i2003_11_14_17_19_21224)
| sK2(i2003_11_14_17_19_21224) = sK1(i2003_11_14_17_19_21224) ),
inference(copy,[status(thm)],[c_257]) ).
cnf(c_259,plain,
( sK3(i2003_11_14_17_19_21224) = sK0(i2003_11_14_17_19_21224)
| sK2(i2003_11_14_17_19_21224) = sK0(i2003_11_14_17_19_21224)
| sK3(i2003_11_14_17_19_21224) = sK2(i2003_11_14_17_19_21224)
| sK1(i2003_11_14_17_19_21224) = sK0(i2003_11_14_17_19_21224)
| sK3(i2003_11_14_17_19_21224) = sK1(i2003_11_14_17_19_21224)
| sK2(i2003_11_14_17_19_21224) = sK1(i2003_11_14_17_19_21224) ),
inference(copy,[status(thm)],[c_258]) ).
cnf(c_260,plain,
( sK3(i2003_11_14_17_19_21224) = sK0(i2003_11_14_17_19_21224)
| sK2(i2003_11_14_17_19_21224) = sK0(i2003_11_14_17_19_21224)
| sK3(i2003_11_14_17_19_21224) = sK2(i2003_11_14_17_19_21224)
| sK1(i2003_11_14_17_19_21224) = sK0(i2003_11_14_17_19_21224)
| sK3(i2003_11_14_17_19_21224) = sK1(i2003_11_14_17_19_21224) ),
inference(resolve,[status(thm)],[c_218,c_259]) ).
cnf(c_261,plain,
( sK3(i2003_11_14_17_19_21224) = sK0(i2003_11_14_17_19_21224)
| sK2(i2003_11_14_17_19_21224) = sK0(i2003_11_14_17_19_21224)
| sK3(i2003_11_14_17_19_21224) = sK2(i2003_11_14_17_19_21224)
| sK1(i2003_11_14_17_19_21224) = sK0(i2003_11_14_17_19_21224) ),
inference(resolve,[status(thm)],[c_198,c_260]) ).
cnf(c_262,plain,
( sK3(i2003_11_14_17_19_21224) = sK0(i2003_11_14_17_19_21224)
| sK2(i2003_11_14_17_19_21224) = sK0(i2003_11_14_17_19_21224)
| sK1(i2003_11_14_17_19_21224) = sK0(i2003_11_14_17_19_21224) ),
inference(resolve,[status(thm)],[c_187,c_261]) ).
cnf(c_263,plain,
( sK3(i2003_11_14_17_19_21224) = sK0(i2003_11_14_17_19_21224)
| sK1(i2003_11_14_17_19_21224) = sK0(i2003_11_14_17_19_21224) ),
inference(resolve,[status(thm)],[c_217,c_262]) ).
cnf(c_240,plain,
sK1(i2003_11_14_17_19_21224) = sK0(i2003_11_14_17_19_21224),
inference(resolve,[status(thm)],[c_204,c_263]) ).
cnf(c_264,plain,
~ cp1(sK0(i2003_11_14_17_19_21224)),
inference(paramod,[status(thm)],[c_240,c_195]) ).
cnf(c_246,plain,
$false,
inference(resolve,[status(thm)],[c_160,c_264]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS080+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n011.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 19:38:28 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.36 % Process 2707906 was started by sandbox2 on n011,
% 0.09/0.36 % Fri Sep 25 19:38:28 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/0.38
% 0.09/0.38 % From the command line: assign(max_seconds, 300).
% 0.89/0.58
% 0.89/0.58 % SZS status Unsatisfiable for theBenchmark
% 0.89/0.58
% 0.89/0.58 % Proof 1 at 0.16 (+ 0.03) seconds.
% 0.89/0.58 % Length of proof is 47.
% 0.89/0.58 % Level of proof is 6.
% 0.89/0.58 % Maximum clause weight is 37.000.
% 0.89/0.58 % Given clauses 81.
% 0.89/0.58
% 0.89/0.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------