%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : KRS116+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 : n014.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 07:46:04 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.42s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 66 ( 16 unt; 0 def)
% Number of atoms : 377 ( 0 equ)
% Maximal formula atoms : 164 ( 5 avg)
% Number of connectives : 507 ( 196 ~; 222 |; 68 &)
% ( 11 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-1 aty)
% Number of variables : 170 ( 2 sgn 117 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X] :
( cUnsatisfiable(X)
=> ca(X) ),
file('theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X] :
( cUnsatisfiable(X)
=> ? [Y] :
( ca_Ax2(Y)
& rs(X,Y) ) ),
file('theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X] :
( ca(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
! [X] :
( caxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('theBenchmark.p',axiom_5) ).
fof(axiom_6,axiom,
! [X] :
( cc(X)
<=> ! [Y] :
( rinvR(X,Y)
=> ca_Vx7(Y) ) ),
file('theBenchmark.p',axiom_6) ).
fof(axiom_7,axiom,
! [X] :
( ca_Ax2(X)
<=> ( ! [Y] :
( rp(X,Y)
=> ca_Vx4(Y) )
& ? [Y] :
( cowlThing(Y)
& rp(X,Y) )
& ? [Y] :
( cowlThing(Y)
& rr(X,Y) )
& ! [Y] :
( rr(X,Y)
=> cc(Y) )
& ! [Y] :
( rp(X,Y)
=> ca_Vx5(Y) )
& ! [Y] :
( rp(X,Y)
=> ca_Vx3(Y) ) ) ),
file('theBenchmark.p',axiom_7) ).
fof(axiom_8,axiom,
! [X] :
( ca_Vx3(X)
<=> ? [Y] :
( cowlThing(Y)
& rr(X,Y) ) ),
file('theBenchmark.p',axiom_8) ).
fof(axiom_10,axiom,
! [X] :
( ca_Vx5(X)
<=> ! [Y] :
( rr(X,Y)
=> cc(Y) ) ),
file('theBenchmark.p',axiom_10) ).
fof(axiom_11,axiom,
! [X] :
( ca_Vx6(X)
<=> ! [Y] :
( rinvS(X,Y)
=> caxcomp(Y) ) ),
file('theBenchmark.p',axiom_11) ).
fof(axiom_12,axiom,
! [X] :
( ca_Vx7(X)
<=> ! [Y] :
( rinvP(X,Y)
=> ca_Vx6(Y) ) ),
file('theBenchmark.p',axiom_12) ).
fof(axiom_13,axiom,
! [X,Y] :
( rinvP(X,Y)
<=> rp(Y,X) ),
file('theBenchmark.p',axiom_13) ).
fof(axiom_14,axiom,
! [X,Y] :
( rinvR(X,Y)
<=> rr(Y,X) ),
file('theBenchmark.p',axiom_14) ).
fof(axiom_15,axiom,
! [X,Y] :
( rinvS(X,Y)
<=> rs(Y,X) ),
file('theBenchmark.p',axiom_15) ).
fof(axiom_17,axiom,
cUnsatisfiable(i2003_11_14_17_21_33997),
file('theBenchmark.p',axiom_17) ).
cnf(c_20,plain,
cUnsatisfiable(i2003_11_14_17_21_33997),
inference(clausify,[status(thm)],[axiom_17]) ).
fof(nnf_4,plain,
! [X] :
( ? [Y] :
( ca_Ax2(Y)
& rs(X,Y) )
| ~ cUnsatisfiable(X) ),
inference(fof_nnf,[status(thm)],[axiom_3]) ).
fof(sk_axiom_3_sk,plain,
! [X] :
( ( ca_Ax2(sK0(X))
& rs(X,sK0(X)) )
| ~ cUnsatisfiable(X) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(Y,sK0(X))],[nnf_4]) ).
fof(sk_axiom_3,plain,
( ! [VAR_0] :
( ca_Ax2(sK0(VAR_0))
| ~ cUnsatisfiable(VAR_0) )
& ! [VAR_0] :
( rs(VAR_0,sK0(VAR_0))
| ~ cUnsatisfiable(VAR_0) ) ),
inference(cnf_transformation,[status(thm)],[sk_axiom_3_sk]) ).
cnf(c_21,plain,
( ca_Ax2(sK0(A))
| ~ cUnsatisfiable(A) ),
inference(split_conjunct,[status(thm)],[sk_axiom_3]) ).
cnf(c_22,plain,
( rs(A,sK0(A))
| ~ cUnsatisfiable(A) ),
inference(split_conjunct,[status(thm)],[sk_axiom_3]) ).
cnf(c_23,plain,
( ca(A)
| ~ cUnsatisfiable(A) ),
inference(clausify,[status(thm)],[axiom_2]) ).
cnf(c_24,plain,
( ~ ra_Px1(A,B)
| ~ ca(A) ),
inference(clausify,[status(thm)],[axiom_4]) ).
cnf(c_26,plain,
ca(i2003_11_14_17_21_33997),
inference(resolve,[status(thm)],[c_20,c_23]) ).
cnf(c_27,plain,
( ~ rs(B,A)
| rinvS(A,B) ),
inference(clausify,[status(thm)],[axiom_15]) ).
cnf(c_29,plain,
rs(i2003_11_14_17_21_33997,sK0(i2003_11_14_17_21_33997)),
inference(resolve,[status(thm)],[c_20,c_22]) ).
cnf(c_47,plain,
ca_Ax2(sK0(i2003_11_14_17_21_33997)),
inference(resolve,[status(thm)],[c_20,c_21]) ).
fof(nnf_8,plain,
! [X] :
( ( ? [Y] :
( ~ ca_Vx4(Y)
& rp(X,Y) )
| ! [X0] :
( ~ cowlThing(X0)
| ~ rp(X,X0) )
| ! [X10] :
( ~ cowlThing(X10)
| ~ rr(X,X10) )
| ? [X9] :
( ~ cc(X9)
& rr(X,X9) )
| ? [X8] :
( ~ ca_Vx5(X8)
& rp(X,X8) )
| ? [X7] :
( ~ ca_Vx3(X7)
& rp(X,X7) )
| ca_Ax2(X) )
& ( ( ! [X6] :
( ca_Vx4(X6)
| ~ rp(X,X6) )
& ? [X5] :
( cowlThing(X5)
& rp(X,X5) )
& ? [X4] :
( cowlThing(X4)
& rr(X,X4) )
& ! [X3] :
( cc(X3)
| ~ rr(X,X3) )
& ! [X2] :
( ca_Vx5(X2)
| ~ rp(X,X2) )
& ! [X1] :
( ca_Vx3(X1)
| ~ rp(X,X1) ) )
| ~ ca_Ax2(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_7]) ).
fof(sk_axiom_7_sk,plain,
! [X] :
( ( ( ~ ca_Vx4(sK9(X))
& rp(X,sK9(X)) )
| ! [X0] :
( ~ cowlThing(X0)
| ~ rp(X,X0) )
| ! [X10] :
( ~ cowlThing(X10)
| ~ rr(X,X10) )
| ( ~ cc(sK8(X))
& rr(X,sK8(X)) )
| ( ~ ca_Vx5(sK7(X))
& rp(X,sK7(X)) )
| ( ~ ca_Vx3(sK6(X))
& rp(X,sK6(X)) )
| ca_Ax2(X) )
& ( ( ! [X6] :
( ca_Vx4(X6)
| ~ rp(X,X6) )
& cowlThing(sK1(X))
& rp(X,sK1(X))
& cowlThing(sK5(X))
& rr(X,sK5(X))
& ! [X3] :
( cc(X3)
| ~ rr(X,X3) )
& ! [X2] :
( ca_Vx5(X2)
| ~ rp(X,X2) )
& ! [X1] :
( ca_Vx3(X1)
| ~ rp(X,X1) ) )
| ~ ca_Ax2(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK1,sK6,sK7,sK8,sK9]),skolemize(X4,sK5(X)),skolemize(X5,sK1(X)),skolemize(X7,sK6(X)),skolemize(X8,sK7(X)),skolemize(X9,sK8(X)),skolemize(Y,sK9(X))],[nnf_8]) ).
fof(sk_axiom_7,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( ~ ca_Vx4(sK9(VAR_0))
| ~ cowlThing(VAR_2)
| ~ rp(VAR_0,VAR_2)
| ~ cowlThing(VAR_1)
| ~ rr(VAR_0,VAR_1)
| ~ cc(sK8(VAR_0))
| ~ ca_Vx5(sK7(VAR_0))
| ~ ca_Vx3(sK6(VAR_0))
| ca_Ax2(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( rp(VAR_0,sK9(VAR_0))
| ~ cowlThing(VAR_2)
| ~ rp(VAR_0,VAR_2)
| ~ cowlThing(VAR_1)
| ~ rr(VAR_0,VAR_1)
| ~ cc(sK8(VAR_0))
| ~ ca_Vx5(sK7(VAR_0))
| ~ ca_Vx3(sK6(VAR_0))
| ca_Ax2(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( ~ ca_Vx4(sK9(VAR_0))
| ~ cowlThing(VAR_2)
| ~ rp(VAR_0,VAR_2)
| ~ cowlThing(VAR_1)
| ~ rr(VAR_0,VAR_1)
| rr(VAR_0,sK8(VAR_0))
| ~ ca_Vx5(sK7(VAR_0))
| ~ ca_Vx3(sK6(VAR_0))
| ca_Ax2(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( rp(VAR_0,sK9(VAR_0))
| ~ cowlThing(VAR_2)
| ~ rp(VAR_0,VAR_2)
| ~ cowlThing(VAR_1)
| ~ rr(VAR_0,VAR_1)
| rr(VAR_0,sK8(VAR_0))
| ~ ca_Vx5(sK7(VAR_0))
| ~ ca_Vx3(sK6(VAR_0))
| ca_Ax2(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( ~ ca_Vx4(sK9(VAR_0))
| ~ cowlThing(VAR_2)
| ~ rp(VAR_0,VAR_2)
| ~ cowlThing(VAR_1)
| ~ rr(VAR_0,VAR_1)
| ~ cc(sK8(VAR_0))
| rp(VAR_0,sK7(VAR_0))
| ~ ca_Vx3(sK6(VAR_0))
| ca_Ax2(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( rp(VAR_0,sK9(VAR_0))
| ~ cowlThing(VAR_2)
| ~ rp(VAR_0,VAR_2)
| ~ cowlThing(VAR_1)
| ~ rr(VAR_0,VAR_1)
| ~ cc(sK8(VAR_0))
| rp(VAR_0,sK7(VAR_0))
| ~ ca_Vx3(sK6(VAR_0))
| ca_Ax2(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( ~ ca_Vx4(sK9(VAR_0))
| ~ cowlThing(VAR_2)
| ~ rp(VAR_0,VAR_2)
| ~ cowlThing(VAR_1)
| ~ rr(VAR_0,VAR_1)
| rr(VAR_0,sK8(VAR_0))
| rp(VAR_0,sK7(VAR_0))
| ~ ca_Vx3(sK6(VAR_0))
| ca_Ax2(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( rp(VAR_0,sK9(VAR_0))
| ~ cowlThing(VAR_2)
| ~ rp(VAR_0,VAR_2)
| ~ cowlThing(VAR_1)
| ~ rr(VAR_0,VAR_1)
| rr(VAR_0,sK8(VAR_0))
| rp(VAR_0,sK7(VAR_0))
| ~ ca_Vx3(sK6(VAR_0))
| ca_Ax2(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( ~ ca_Vx4(sK9(VAR_0))
| ~ cowlThing(VAR_2)
| ~ rp(VAR_0,VAR_2)
| ~ cowlThing(VAR_1)
| ~ rr(VAR_0,VAR_1)
| ~ cc(sK8(VAR_0))
| ~ ca_Vx5(sK7(VAR_0))
| rp(VAR_0,sK6(VAR_0))
| ca_Ax2(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( rp(VAR_0,sK9(VAR_0))
| ~ cowlThing(VAR_2)
| ~ rp(VAR_0,VAR_2)
| ~ cowlThing(VAR_1)
| ~ rr(VAR_0,VAR_1)
| ~ cc(sK8(VAR_0))
| ~ ca_Vx5(sK7(VAR_0))
| rp(VAR_0,sK6(VAR_0))
| ca_Ax2(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( ~ ca_Vx4(sK9(VAR_0))
| ~ cowlThing(VAR_2)
| ~ rp(VAR_0,VAR_2)
| ~ cowlThing(VAR_1)
| ~ rr(VAR_0,VAR_1)
| rr(VAR_0,sK8(VAR_0))
| ~ ca_Vx5(sK7(VAR_0))
| rp(VAR_0,sK6(VAR_0))
| ca_Ax2(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( rp(VAR_0,sK9(VAR_0))
| ~ cowlThing(VAR_2)
| ~ rp(VAR_0,VAR_2)
| ~ cowlThing(VAR_1)
| ~ rr(VAR_0,VAR_1)
| rr(VAR_0,sK8(VAR_0))
| ~ ca_Vx5(sK7(VAR_0))
| rp(VAR_0,sK6(VAR_0))
| ca_Ax2(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( ~ ca_Vx4(sK9(VAR_0))
| ~ cowlThing(VAR_2)
| ~ rp(VAR_0,VAR_2)
| ~ cowlThing(VAR_1)
| ~ rr(VAR_0,VAR_1)
| ~ cc(sK8(VAR_0))
| rp(VAR_0,sK7(VAR_0))
| rp(VAR_0,sK6(VAR_0))
| ca_Ax2(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( rp(VAR_0,sK9(VAR_0))
| ~ cowlThing(VAR_2)
| ~ rp(VAR_0,VAR_2)
| ~ cowlThing(VAR_1)
| ~ rr(VAR_0,VAR_1)
| ~ cc(sK8(VAR_0))
| rp(VAR_0,sK7(VAR_0))
| rp(VAR_0,sK6(VAR_0))
| ca_Ax2(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( ~ ca_Vx4(sK9(VAR_0))
| ~ cowlThing(VAR_2)
| ~ rp(VAR_0,VAR_2)
| ~ cowlThing(VAR_1)
| ~ rr(VAR_0,VAR_1)
| rr(VAR_0,sK8(VAR_0))
| rp(VAR_0,sK7(VAR_0))
| rp(VAR_0,sK6(VAR_0))
| ca_Ax2(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( rp(VAR_0,sK9(VAR_0))
| ~ cowlThing(VAR_2)
| ~ rp(VAR_0,VAR_2)
| ~ cowlThing(VAR_1)
| ~ rr(VAR_0,VAR_1)
| rr(VAR_0,sK8(VAR_0))
| rp(VAR_0,sK7(VAR_0))
| rp(VAR_0,sK6(VAR_0))
| ca_Ax2(VAR_0) )
& ! [VAR_0,VAR_1] :
( ca_Vx4(VAR_1)
| ~ rp(VAR_0,VAR_1)
| ~ ca_Ax2(VAR_0) )
& ! [VAR_0] :
( cowlThing(sK1(VAR_0))
| ~ ca_Ax2(VAR_0) )
& ! [VAR_0] :
( rp(VAR_0,sK1(VAR_0))
| ~ ca_Ax2(VAR_0) )
& ! [VAR_0] :
( cowlThing(sK5(VAR_0))
| ~ ca_Ax2(VAR_0) )
& ! [VAR_0] :
( rr(VAR_0,sK5(VAR_0))
| ~ ca_Ax2(VAR_0) )
& ! [VAR_0,VAR_1] :
( cc(VAR_1)
| ~ rr(VAR_0,VAR_1)
| ~ ca_Ax2(VAR_0) )
& ! [VAR_0,VAR_1] :
( ca_Vx5(VAR_1)
| ~ rp(VAR_0,VAR_1)
| ~ ca_Ax2(VAR_0) )
& ! [VAR_0,VAR_1] :
( ca_Vx3(VAR_1)
| ~ rp(VAR_0,VAR_1)
| ~ ca_Ax2(VAR_0) ) ),
inference(cnf_transformation,[status(thm)],[sk_axiom_7_sk]) ).
cnf(c_49,plain,
( rp(A,sK1(A))
| ~ ca_Ax2(A) ),
inference(split_conjunct,[status(thm)],[sk_axiom_7]) ).
cnf(c_53,plain,
( ca_Vx5(B)
| ~ rp(A,B)
| ~ ca_Ax2(A) ),
inference(split_conjunct,[status(thm)],[sk_axiom_7]) ).
cnf(c_54,plain,
( ca_Vx3(B)
| ~ rp(A,B)
| ~ ca_Ax2(A) ),
inference(split_conjunct,[status(thm)],[sk_axiom_7]) ).
fof(nnf_6,plain,
! [X] :
( ( ! [Y0] : ~ ra_Px1(X,Y0)
| caxcomp(X) )
& ( ? [X0] : ra_Px1(X,X0)
| ~ caxcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_5]) ).
fof(sk_axiom_5_sk,plain,
! [X] :
( ( ! [Y0] : ~ ra_Px1(X,Y0)
| caxcomp(X) )
& ( ra_Px1(X,sK2(X))
| ~ caxcomp(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2(X))],[nnf_6]) ).
fof(sk_axiom_5,plain,
( ! [VAR_0,VAR_1] :
( ~ ra_Px1(VAR_0,VAR_1)
| caxcomp(VAR_0) )
& ! [VAR_0] :
( ra_Px1(VAR_0,sK2(VAR_0))
| ~ caxcomp(VAR_0) ) ),
inference(cnf_transformation,[status(thm)],[sk_axiom_5_sk]) ).
cnf(c_56,plain,
( ra_Px1(A,sK2(A))
| ~ caxcomp(A) ),
inference(split_conjunct,[status(thm)],[sk_axiom_5]) ).
cnf(c_57,plain,
( caxcomp(B)
| ~ rinvS(A,B)
| ~ ca_Vx6(A) ),
inference(clausify,[status(thm)],[axiom_11]) ).
cnf(c_60,plain,
( ~ rr(B,A)
| rinvR(A,B) ),
inference(clausify,[status(thm)],[axiom_14]) ).
cnf(c_62,plain,
( ca_Vx7(B)
| ~ rinvR(A,B)
| ~ cc(A) ),
inference(clausify,[status(thm)],[axiom_6]) ).
cnf(c_64,plain,
( ~ rr(B,A)
| ca_Vx7(B)
| ~ cc(A) ),
inference(resolve,[status(thm)],[c_62,c_60]) ).
cnf(c_65,plain,
( ca_Vx6(B)
| ~ rinvP(A,B)
| ~ ca_Vx7(A) ),
inference(clausify,[status(thm)],[axiom_12]) ).
cnf(c_68,plain,
rinvS(sK0(i2003_11_14_17_21_33997),i2003_11_14_17_21_33997),
inference(resolve,[status(thm)],[c_29,c_27]) ).
cnf(c_69,plain,
( ra_Px1(B,sK2(B))
| ~ rinvS(A,B)
| ~ ca_Vx6(A) ),
inference(resolve,[status(thm)],[c_57,c_56]) ).
cnf(c_72,plain,
( ra_Px1(i2003_11_14_17_21_33997,sK2(i2003_11_14_17_21_33997))
| ~ ca_Vx6(sK0(i2003_11_14_17_21_33997)) ),
inference(resolve,[status(thm)],[c_68,c_69]) ).
cnf(c_74,plain,
( ca_Vx3(A)
| ~ rp(sK0(i2003_11_14_17_21_33997),A) ),
inference(resolve,[status(thm)],[c_54,c_47]) ).
cnf(c_91,plain,
( ca_Vx5(A)
| ~ rp(sK0(i2003_11_14_17_21_33997),A) ),
inference(resolve,[status(thm)],[c_53,c_47]) ).
cnf(c_142,plain,
rp(sK0(i2003_11_14_17_21_33997),sK1(sK0(i2003_11_14_17_21_33997))),
inference(resolve,[status(thm)],[c_49,c_47]) ).
cnf(c_176,plain,
~ ra_Px1(i2003_11_14_17_21_33997,A),
inference(resolve,[status(thm)],[c_24,c_26]) ).
fof(nnf_9,plain,
! [X] :
( ( ! [Y] :
( ~ cowlThing(Y)
| ~ rr(X,Y) )
| ca_Vx3(X) )
& ( ? [X0] :
( cowlThing(X0)
& rr(X,X0) )
| ~ ca_Vx3(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_8]) ).
fof(sk_axiom_8_sk,plain,
! [X] :
( ( ! [Y] :
( ~ cowlThing(Y)
| ~ rr(X,Y) )
| ca_Vx3(X) )
& ( ( cowlThing(sK3(X))
& rr(X,sK3(X)) )
| ~ ca_Vx3(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X0,sK3(X))],[nnf_9]) ).
fof(sk_axiom_8,plain,
( ! [VAR_0,VAR_1] :
( ~ cowlThing(VAR_1)
| ~ rr(VAR_0,VAR_1)
| ca_Vx3(VAR_0) )
& ! [VAR_0] :
( cowlThing(sK3(VAR_0))
| ~ ca_Vx3(VAR_0) )
& ! [VAR_0] :
( rr(VAR_0,sK3(VAR_0))
| ~ ca_Vx3(VAR_0) ) ),
inference(cnf_transformation,[status(thm)],[sk_axiom_8_sk]) ).
cnf(c_179,plain,
( rr(A,sK3(A))
| ~ ca_Vx3(A) ),
inference(split_conjunct,[status(thm)],[sk_axiom_8]) ).
cnf(c_185,plain,
( cc(B)
| ~ rr(A,B)
| ~ ca_Vx5(A) ),
inference(clausify,[status(thm)],[axiom_10]) ).
cnf(c_189,plain,
( ~ rp(B,A)
| rinvP(A,B) ),
inference(clausify,[status(thm)],[axiom_13]) ).
cnf(c_194,plain,
( ~ rr(A,C)
| ~ cc(C)
| ca_Vx6(B)
| ~ rinvP(A,B) ),
inference(resolve,[status(thm)],[c_65,c_64]) ).
cnf(c_295,plain,
~ ca_Vx6(sK0(i2003_11_14_17_21_33997)),
inference(resolve,[status(thm)],[c_176,c_72]) ).
cnf(c_329,plain,
ca_Vx5(sK1(sK0(i2003_11_14_17_21_33997))),
inference(resolve,[status(thm)],[c_142,c_91]) ).
cnf(c_330,plain,
ca_Vx3(sK1(sK0(i2003_11_14_17_21_33997))),
inference(resolve,[status(thm)],[c_142,c_74]) ).
cnf(c_338,plain,
rinvP(sK1(sK0(i2003_11_14_17_21_33997)),sK0(i2003_11_14_17_21_33997)),
inference(resolve,[status(thm)],[c_189,c_142]) ).
cnf(c_502,plain,
rr(sK1(sK0(i2003_11_14_17_21_33997)),sK3(sK1(sK0(i2003_11_14_17_21_33997)))),
inference(resolve,[status(thm)],[c_330,c_179]) ).
cnf(c_610,plain,
( ~ rr(sK1(sK0(i2003_11_14_17_21_33997)),A)
| ~ cc(A)
| ca_Vx6(sK0(i2003_11_14_17_21_33997)) ),
inference(resolve,[status(thm)],[c_338,c_194]) ).
cnf(c_509,plain,
( ~ rr(sK1(sK0(i2003_11_14_17_21_33997)),A)
| ~ cc(A) ),
inference(resolve,[status(thm)],[c_295,c_610]) ).
cnf(c_544,plain,
~ cc(sK3(sK1(sK0(i2003_11_14_17_21_33997)))),
inference(resolve,[status(thm)],[c_502,c_509]) ).
cnf(c_611,plain,
( cc(sK3(sK1(sK0(i2003_11_14_17_21_33997))))
| ~ ca_Vx5(sK1(sK0(i2003_11_14_17_21_33997))) ),
inference(resolve,[status(thm)],[c_502,c_185]) ).
cnf(c_612,plain,
cc(sK3(sK1(sK0(i2003_11_14_17_21_33997)))),
inference(resolve,[status(thm)],[c_329,c_611]) ).
cnf(c_609,plain,
$false,
inference(resolve,[status(thm)],[c_544,c_612]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS116+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n014.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Fri Sep 25 19:40:02 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.09/0.34 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.34 % Process 930286 was started by sandbox2 on n014,
% 0.09/0.34 % Fri Sep 25 19:40:02 2026
% 0.09/0.34 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/0.35
% 0.09/0.35 % From the command line: assign(max_seconds, 300).
% 0.11/0.42
% 0.11/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.42
% 0.11/0.42 % Proof 1 at 0.05 (+ 0.01) seconds.
% 0.11/0.42 % Length of proof is 50.
% 0.11/0.42 % Level of proof is 8.
% 0.11/0.42 % Maximum clause weight is 28.000.
% 0.11/0.42 % Given clauses 170.
% 0.11/0.42
% 0.11/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------