%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS116+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Jul 24 08:46:42 PM UTC 2025
% Result : Unsatisfiable 10.35s 1.65s
% Output : CNFRefutation 10.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 14
% Syntax : Number of formulae : 86 ( 15 unt; 0 def)
% Number of atoms : 191 ( 0 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 182 ( 77 ~; 75 |; 9 &)
% ( 11 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 19 ( 18 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 57 ( 1 sgn 24 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_10,plain,
! [X] :
( ca_Vx5(X)
<=> ! [Y] :
( rr(X,Y)
=> cc(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
cnf(37,plain,
( ca_Vx5(X0)
| rr(X0,sK18(X0)) ),
inference(cnf,[status(esa)],[axiom_10]) ).
cnf(l0,plain,
( ca_Vx5(sK7(sK1(i2003_11_14_17_21_33997)))
| rr(sK7(sK1(i2003_11_14_17_21_33997)),sK18(sK7(sK1(i2003_11_14_17_21_33997)))) ),
inference(instantiation,[status(thm)],[37]) ).
cnf(36,plain,
( ~ ca_Vx5(X0)
| ~ rr(X0,X1)
| cc(X1) ),
inference(cnf,[status(esa)],[axiom_10]) ).
cnf(l523,plain,
( ~ ca_Vx5(sK7(sK1(i2003_11_14_17_21_33997)))
| ~ rr(sK7(sK1(i2003_11_14_17_21_33997)),sK18(sK7(sK1(i2003_11_14_17_21_33997))))
| cc(sK18(sK7(sK1(i2003_11_14_17_21_33997)))) ),
inference(instantiation,[status(thm)],[36]) ).
fof(axiom_6,plain,
! [X] :
( cc(X)
<=> ! [Y] :
( rinvR(X,Y)
=> ca_Vx7(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
cnf(11,plain,
( ~ cc(X0)
| ~ rinvR(X0,X1)
| ca_Vx7(X1) ),
inference(cnf,[status(esa)],[axiom_6]) ).
cnf(l680,plain,
( ~ cc(sK18(sK7(sK1(i2003_11_14_17_21_33997))))
| ~ rinvR(sK18(sK7(sK1(i2003_11_14_17_21_33997))),sK7(sK1(i2003_11_14_17_21_33997)))
| ca_Vx7(sK7(sK1(i2003_11_14_17_21_33997))) ),
inference(instantiation,[status(thm)],[11]) ).
fof(axiom_14,plain,
! [X,Y] :
( rinvR(X,Y)
<=> rr(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
cnf(48,plain,
( ~ rr(X0,X1)
| rinvR(X1,X0) ),
inference(cnf,[status(esa)],[axiom_14]) ).
cnf(l706,plain,
( ~ rr(sK7(sK1(i2003_11_14_17_21_33997)),sK18(sK7(sK1(i2003_11_14_17_21_33997))))
| rinvR(sK18(sK7(sK1(i2003_11_14_17_21_33997))),sK7(sK1(i2003_11_14_17_21_33997))) ),
inference(instantiation,[status(thm)],[48]) ).
fof(axiom_7,plain,
! [X] :
( ca_Ax2(X)
<=> ( ! [Y] :
( rp(X,Y)
=> ca_Vx3(Y) )
& ! [Y] :
( rp(X,Y)
=> ca_Vx5(Y) )
& ! [Y] :
( rr(X,Y)
=> cc(Y) )
& ? [Y] :
( rr(X,Y)
& cowlThing(Y) )
& ? [Y] :
( rp(X,Y)
& cowlThing(Y) )
& ! [Y] :
( rp(X,Y)
=> ca_Vx4(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
cnf(15,plain,
( ~ rp(X0,X1)
| ~ ca_Ax2(X0)
| ca_Vx5(X1) ),
inference(cnf,[status(esa)],[axiom_7]) ).
cnf(l524,plain,
( ~ rp(sK1(i2003_11_14_17_21_33997),sK7(sK1(i2003_11_14_17_21_33997)))
| ~ ca_Ax2(sK1(i2003_11_14_17_21_33997))
| ca_Vx5(sK7(sK1(i2003_11_14_17_21_33997))) ),
inference(instantiation,[status(thm)],[15]) ).
fof(axiom_3,plain,
! [X] :
( cUnsatisfiable(X)
=> ? [Y] :
( rs(X,Y)
& ca_Ax2(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
cnf(6,plain,
( ~ cUnsatisfiable(X0)
| ca_Ax2(sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l688,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_33997)
| ca_Ax2(sK1(i2003_11_14_17_21_33997)) ),
inference(instantiation,[status(thm)],[6]) ).
fof(axiom_17,plain,
cUnsatisfiable(i2003_11_14_17_21_33997),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
cnf(52,plain,
cUnsatisfiable(i2003_11_14_17_21_33997),
inference(cnf,[status(esa)],[axiom_17]) ).
cnf(l689,plain,
cUnsatisfiable(i2003_11_14_17_21_33997),
inference(instantiation,[status(thm)],[52]) ).
fof(axiom_12,plain,
! [X] :
( ca_Vx7(X)
<=> ! [Y] :
( rinvP(X,Y)
=> ca_Vx6(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
cnf(42,plain,
( ~ rinvP(X0,X1)
| ~ ca_Vx7(X0)
| ca_Vx6(X1) ),
inference(cnf,[status(esa)],[axiom_12]) ).
cnf(l682,plain,
( ~ rinvP(sK7(sK1(i2003_11_14_17_21_33997)),sK1(i2003_11_14_17_21_33997))
| ~ ca_Vx7(sK7(sK1(i2003_11_14_17_21_33997)))
| ca_Vx6(sK1(i2003_11_14_17_21_33997)) ),
inference(instantiation,[status(thm)],[42]) ).
cnf(l1,plain,
( ~ ca_Vx5(sK7(sK1(i2003_11_14_17_21_33997)))
| ~ rr(sK7(sK1(i2003_11_14_17_21_33997)),sK14(sK7(sK1(i2003_11_14_17_21_33997))))
| cc(sK14(sK7(sK1(i2003_11_14_17_21_33997)))) ),
inference(instantiation,[status(thm)],[36]) ).
fof(axiom_11,plain,
! [X] :
( ca_Vx6(X)
<=> ! [Y] :
( rinvS(X,Y)
=> caxcomp(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
cnf(39,plain,
( ~ ca_Vx6(X0)
| ~ rinvS(X0,X1)
| caxcomp(X1) ),
inference(cnf,[status(esa)],[axiom_11]) ).
cnf(l804,plain,
( ~ ca_Vx6(sK1(i2003_11_14_17_21_33997))
| ~ rinvS(sK1(i2003_11_14_17_21_33997),i2003_11_14_17_21_33997)
| caxcomp(i2003_11_14_17_21_33997) ),
inference(instantiation,[status(thm)],[39]) ).
fof(axiom_8,plain,
! [X] :
( ca_Vx3(X)
<=> ? [Y] :
( rr(X,Y)
& cowlThing(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
cnf(30,plain,
( ~ ca_Vx3(X0)
| rr(X0,sK14(X0)) ),
inference(cnf,[status(esa)],[axiom_8]) ).
cnf(l2,plain,
( ~ ca_Vx3(sK7(sK1(i2003_11_14_17_21_33997)))
| rr(sK7(sK1(i2003_11_14_17_21_33997)),sK14(sK7(sK1(i2003_11_14_17_21_33997)))) ),
inference(instantiation,[status(thm)],[30]) ).
fof(axiom_13,plain,
! [X,Y] :
( rinvP(X,Y)
<=> rp(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
cnf(46,plain,
( ~ rp(X0,X1)
| rinvP(X1,X0) ),
inference(cnf,[status(esa)],[axiom_13]) ).
cnf(l3678,plain,
( ~ rp(sK1(i2003_11_14_17_21_33997),sK7(sK1(i2003_11_14_17_21_33997)))
| rinvP(sK7(sK1(i2003_11_14_17_21_33997)),sK1(i2003_11_14_17_21_33997)) ),
inference(instantiation,[status(thm)],[46]) ).
fof(axiom_5,plain,
! [X] :
( caxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
cnf(9,plain,
( ~ caxcomp(X0)
| ra_Px1(X0,sK3(X0)) ),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l3804,plain,
( ~ caxcomp(i2003_11_14_17_21_33997)
| ra_Px1(i2003_11_14_17_21_33997,sK3(i2003_11_14_17_21_33997)) ),
inference(instantiation,[status(thm)],[9]) ).
fof(axiom_15,plain,
! [X,Y] :
( rinvS(X,Y)
<=> rs(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
cnf(50,plain,
( ~ rs(X0,X1)
| rinvS(X1,X0) ),
inference(cnf,[status(esa)],[axiom_15]) ).
cnf(l836,plain,
( ~ rs(i2003_11_14_17_21_33997,sK1(i2003_11_14_17_21_33997))
| rinvS(sK1(i2003_11_14_17_21_33997),i2003_11_14_17_21_33997) ),
inference(instantiation,[status(thm)],[50]) ).
cnf(19,plain,
( ~ ca_Ax2(X0)
| rp(X0,sK7(X0)) ),
inference(cnf,[status(esa)],[axiom_7]) ).
cnf(l528,plain,
( ~ ca_Ax2(sK1(i2003_11_14_17_21_33997))
| rp(sK1(i2003_11_14_17_21_33997),sK7(sK1(i2003_11_14_17_21_33997))) ),
inference(instantiation,[status(thm)],[19]) ).
fof(axiom_4,plain,
! [X] :
( ca(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
cnf(7,plain,
( ~ ca(X0)
| ~ ra_Px1(X0,X1) ),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l3805,plain,
( ~ ca(i2003_11_14_17_21_33997)
| ~ ra_Px1(i2003_11_14_17_21_33997,sK3(i2003_11_14_17_21_33997)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l3726,plain,
( ~ ca_Ax2(sK1(i2003_11_14_17_21_33997))
| rp(sK1(i2003_11_14_17_21_33997),sK7(sK1(i2003_11_14_17_21_33997))) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l1296,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_33997)
| ca_Ax2(sK1(i2003_11_14_17_21_33997)) ),
inference(instantiation,[status(thm)],[6]) ).
fof(axiom_2,plain,
! [X] :
( cUnsatisfiable(X)
=> ca(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
cnf(4,plain,
( ~ cUnsatisfiable(X0)
| ca(X0) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l3808,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_33997)
| ca(i2003_11_14_17_21_33997) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l1297,plain,
cUnsatisfiable(i2003_11_14_17_21_33997),
inference(instantiation,[status(thm)],[52]) ).
cnf(l3809,plain,
cUnsatisfiable(i2003_11_14_17_21_33997),
inference(instantiation,[status(thm)],[52]) ).
cnf(5,plain,
( ~ cUnsatisfiable(X0)
| rs(X0,sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l3741,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_33997)
| rs(i2003_11_14_17_21_33997,sK1(i2003_11_14_17_21_33997)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l3742,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_33997)
| ca_Ax2(sK1(i2003_11_14_17_21_33997)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l3743,plain,
cUnsatisfiable(i2003_11_14_17_21_33997),
inference(instantiation,[status(thm)],[52]) ).
cnf(l3748,plain,
cUnsatisfiable(i2003_11_14_17_21_33997),
inference(instantiation,[status(thm)],[52]) ).
cnf(l18,plain,
( ~ cc(sK14(sK7(sK1(i2003_11_14_17_21_33997))))
| ~ rinvR(sK14(sK7(sK1(i2003_11_14_17_21_33997))),sK7(sK1(i2003_11_14_17_21_33997)))
| ca_Vx7(sK7(sK1(i2003_11_14_17_21_33997))) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l2234,plain,
( ~ rinvP(sK7(sK1(i2003_11_14_17_21_33997)),sK1(i2003_11_14_17_21_33997))
| ~ ca_Vx7(sK7(sK1(i2003_11_14_17_21_33997)))
| ca_Vx6(sK1(i2003_11_14_17_21_33997)) ),
inference(instantiation,[status(thm)],[42]) ).
cnf(l3303,plain,
( ~ rp(sK1(i2003_11_14_17_21_33997),sK7(sK1(i2003_11_14_17_21_33997)))
| rinvP(sK7(sK1(i2003_11_14_17_21_33997)),sK1(i2003_11_14_17_21_33997)) ),
inference(instantiation,[status(thm)],[46]) ).
cnf(14,plain,
( ~ rp(X0,X1)
| ~ ca_Ax2(X0)
| ca_Vx3(X1) ),
inference(cnf,[status(esa)],[axiom_7]) ).
cnf(l45,plain,
( ~ rp(sK1(i2003_11_14_17_21_33997),sK7(sK1(i2003_11_14_17_21_33997)))
| ~ ca_Ax2(sK1(i2003_11_14_17_21_33997))
| ca_Vx3(sK7(sK1(i2003_11_14_17_21_33997))) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l2236,plain,
( ~ ca_Vx6(sK1(i2003_11_14_17_21_33997))
| ~ rinvS(sK1(i2003_11_14_17_21_33997),i2003_11_14_17_21_33997)
| caxcomp(i2003_11_14_17_21_33997) ),
inference(instantiation,[status(thm)],[39]) ).
cnf(l29,plain,
( ~ rr(sK7(sK1(i2003_11_14_17_21_33997)),sK14(sK7(sK1(i2003_11_14_17_21_33997))))
| rinvR(sK14(sK7(sK1(i2003_11_14_17_21_33997))),sK7(sK1(i2003_11_14_17_21_33997))) ),
inference(instantiation,[status(thm)],[48]) ).
cnf(l3302,plain,
( ~ caxcomp(i2003_11_14_17_21_33997)
| ra_Px1(i2003_11_14_17_21_33997,sK3(i2003_11_14_17_21_33997)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l214,plain,
( ~ ca_Vx3(sK7(sK1(i2003_11_14_17_21_33997)))
| rr(sK7(sK1(i2003_11_14_17_21_33997)),sK14(sK7(sK1(i2003_11_14_17_21_33997)))) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(l479,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_33997)
| ca_Ax2(sK1(i2003_11_14_17_21_33997)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l48,plain,
( ~ ca_Ax2(sK1(i2003_11_14_17_21_33997))
| rp(sK1(i2003_11_14_17_21_33997),sK7(sK1(i2003_11_14_17_21_33997))) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l223,plain,
( ~ rp(sK1(i2003_11_14_17_21_33997),sK7(sK1(i2003_11_14_17_21_33997)))
| ~ ca_Ax2(sK1(i2003_11_14_17_21_33997))
| ca_Vx3(sK7(sK1(i2003_11_14_17_21_33997))) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l3304,plain,
( ~ ca(i2003_11_14_17_21_33997)
| ~ ra_Px1(i2003_11_14_17_21_33997,sK3(i2003_11_14_17_21_33997)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l3305,plain,
( ~ ca_Ax2(sK1(i2003_11_14_17_21_33997))
| rp(sK1(i2003_11_14_17_21_33997),sK7(sK1(i2003_11_14_17_21_33997))) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l3368,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_33997)
| ca(i2003_11_14_17_21_33997) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l105,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_33997)
| ca_Ax2(sK1(i2003_11_14_17_21_33997)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l244,plain,
( ~ ca_Ax2(sK1(i2003_11_14_17_21_33997))
| rp(sK1(i2003_11_14_17_21_33997),sK7(sK1(i2003_11_14_17_21_33997))) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l3307,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_33997)
| ca_Ax2(sK1(i2003_11_14_17_21_33997)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l491,plain,
cUnsatisfiable(i2003_11_14_17_21_33997),
inference(instantiation,[status(thm)],[52]) ).
cnf(l3390,plain,
cUnsatisfiable(i2003_11_14_17_21_33997),
inference(instantiation,[status(thm)],[52]) ).
cnf(l256,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_33997)
| ca_Ax2(sK1(i2003_11_14_17_21_33997)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l2244,plain,
( ~ rs(i2003_11_14_17_21_33997,sK1(i2003_11_14_17_21_33997))
| rinvS(sK1(i2003_11_14_17_21_33997),i2003_11_14_17_21_33997) ),
inference(instantiation,[status(thm)],[50]) ).
cnf(l2245,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_33997)
| rs(i2003_11_14_17_21_33997,sK1(i2003_11_14_17_21_33997)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l294,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_33997)
| ca_Ax2(sK1(i2003_11_14_17_21_33997)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l2291,plain,
cUnsatisfiable(i2003_11_14_17_21_33997),
inference(instantiation,[status(thm)],[52]) ).
cnf(l3575,plain,
cUnsatisfiable(i2003_11_14_17_21_33997),
inference(instantiation,[status(thm)],[52]) ).
cnf(l480,plain,
cUnsatisfiable(i2003_11_14_17_21_33997),
inference(instantiation,[status(thm)],[52]) ).
cnf(l3308,plain,
cUnsatisfiable(i2003_11_14_17_21_33997),
inference(instantiation,[status(thm)],[52]) ).
cnf(l297,plain,
cUnsatisfiable(i2003_11_14_17_21_33997),
inference(instantiation,[status(thm)],[52]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l523,l680,l706,l524,l688,l689,l682,l1,l804,l2,l3678,l3804,l836,l528,l3805,l3726,l1296,l3808,l1297,l3809,l3741,l3742,l3743,l3748,l18,l2234,l3303,l45,l2236,l29,l3302,l214,l479,l48,l223,l3304,l3305,l3368,l105,l244,l3307,l491,l3390,l256,l2244,l2245,l294,l2291,l3575,l480,l3308,l297]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS116+1 : TPTP v9.0.0. Released v3.1.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Jul 20 22:13:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.36 % launching worker at depth: 11
% 0.13/0.38 % launching worker at depth: 12
% 0.21/0.47 % launching worker at depth: 13
% 2.98/0.72 % launching worker at depth: 14
% 8.49/1.41 % launching worker at depth: 15
% 10.35/1.65 % SZS status Theorem for theBenchmark
% 10.35/1.65 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------