%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS112+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 : n021.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 08:46:41 PM UTC 2025
% Result : Unsatisfiable 212.50s 26.89s
% Output : CNFRefutation 212.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 13
% Syntax : Number of formulae : 65 ( 11 unt; 0 def)
% Number of atoms : 140 ( 12 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 130 ( 55 ~; 53 |; 9 &)
% ( 6 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 57 ( 1 sgn 23 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_3,plain,
! [X] :
( cp(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
cnf(33,plain,
( ra_Px1(X0,sK5(X0))
| cp(X0) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l0,plain,
( ra_Px1(sK9(i2003_11_14_17_21_19256),sK5(sK9(i2003_11_14_17_21_19256)))
| cp(sK9(i2003_11_14_17_21_19256)) ),
inference(instantiation,[status(thm)],[33]) ).
fof(cp_substitution_1,plain,
! [A,B] :
( ( A = B
& cp(A) )
=> cp(B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp_substitution_1) ).
cnf(5,plain,
( X0 != X1
| ~ cp(X0)
| cp(X1) ),
inference(cnf,[status(esa)],[cp_substitution_1]) ).
cnf(l2859,plain,
( sK9(i2003_11_14_17_21_19256) != sK1(i2003_11_14_17_21_19256)
| ~ cp(sK9(i2003_11_14_17_21_19256))
| cp(sK1(i2003_11_14_17_21_19256)) ),
inference(instantiation,[status(thm)],[5]) ).
fof(ra_Px1_substitution_1,plain,
! [A,B,C] :
( ( A = B
& ra_Px1(A,C) )
=> ra_Px1(B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ra_Px1_substitution_1) ).
cnf(7,plain,
( X0 != X1
| ~ ra_Px1(X0,X2)
| ra_Px1(X1,X2) ),
inference(cnf,[status(esa)],[ra_Px1_substitution_1]) ).
cnf(l1,plain,
( sK9(i2003_11_14_17_21_19256) != sK2(i2003_11_14_17_21_19256)
| ~ ra_Px1(sK9(i2003_11_14_17_21_19256),sK5(sK9(i2003_11_14_17_21_19256)))
| ra_Px1(sK2(i2003_11_14_17_21_19256),sK5(sK9(i2003_11_14_17_21_19256))) ),
inference(instantiation,[status(thm)],[7]) ).
fof(axiom_8,plain,
! [X,Y,Z] :
( ( rf1(X,Y)
& rf1(X,Z) )
=> Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
cnf(44,plain,
( ~ rf1(X0,X1)
| ~ rf1(X0,X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[axiom_8]) ).
cnf(l2860,plain,
( ~ rf1(i2003_11_14_17_21_19256,sK9(i2003_11_14_17_21_19256))
| ~ rf1(i2003_11_14_17_21_19256,sK1(i2003_11_14_17_21_19256))
| sK9(i2003_11_14_17_21_19256) = sK1(i2003_11_14_17_21_19256) ),
inference(instantiation,[status(thm)],[44]) ).
fof(axiom_7,plain,
! [X,Y,Z] :
( ( rf(X,Y)
& rf(X,Z) )
=> Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
cnf(43,plain,
( ~ rf(X0,X1)
| ~ rf(X0,X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[axiom_7]) ).
cnf(l172,plain,
( ~ rf(i2003_11_14_17_21_19256,sK9(i2003_11_14_17_21_19256))
| ~ rf(i2003_11_14_17_21_19256,sK2(i2003_11_14_17_21_19256))
| sK9(i2003_11_14_17_21_19256) = sK2(i2003_11_14_17_21_19256) ),
inference(instantiation,[status(thm)],[43]) ).
fof(axiom_15,plain,
! [X,Y] :
( rs(X,Y)
=> rf1(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
cnf(54,plain,
( ~ rs(X0,X1)
| rf1(X0,X1) ),
inference(cnf,[status(esa)],[axiom_15]) ).
cnf(l2864,plain,
( ~ rs(i2003_11_14_17_21_19256,sK9(i2003_11_14_17_21_19256))
| rf1(i2003_11_14_17_21_19256,sK9(i2003_11_14_17_21_19256)) ),
inference(instantiation,[status(thm)],[54]) ).
cnf(32,plain,
( ~ ra_Px1(X0,X1)
| ~ cp(X0) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l2861,plain,
( ~ ra_Px1(sK1(i2003_11_14_17_21_19256),sK6(sK1(i2003_11_14_17_21_19256)))
| ~ cp(sK1(i2003_11_14_17_21_19256)) ),
inference(instantiation,[status(thm)],[32]) ).
fof(axiom_6,plain,
! [X] :
( ca_Vx3(X)
<=> ? [Y] :
( rs(X,Y)
& cowlThing(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
cnf(40,plain,
( ~ ca_Vx3(X0)
| rs(X0,sK9(X0)) ),
inference(cnf,[status(esa)],[axiom_6]) ).
cnf(l2872,plain,
( ~ ca_Vx3(i2003_11_14_17_21_19256)
| rs(i2003_11_14_17_21_19256,sK9(i2003_11_14_17_21_19256)) ),
inference(instantiation,[status(thm)],[40]) ).
fof(axiom_2,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rf1(X,Y)
& ca_Ax2(Y) )
& ? [Y] :
( rf(X,Y)
& cp(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
cnf(29,plain,
( ~ cUnsatisfiable(X0)
| rf(X0,sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l173,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_19256)
| rf(i2003_11_14_17_21_19256,sK2(i2003_11_14_17_21_19256)) ),
inference(instantiation,[status(thm)],[29]) ).
fof(axiom_5,plain,
! [X] :
( ca_Ax2(X)
<=> ( cpxcomp(X)
& ! [Y] :
( rinvF1(X,Y)
=> ca_Vx3(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
cnf(37,plain,
( ~ ca_Ax2(X0)
| ~ rinvF1(X0,X1)
| ca_Vx3(X1) ),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l2882,plain,
( ~ ca_Ax2(sK1(i2003_11_14_17_21_19256))
| ~ rinvF1(sK1(i2003_11_14_17_21_19256),i2003_11_14_17_21_19256)
| ca_Vx3(i2003_11_14_17_21_19256) ),
inference(instantiation,[status(thm)],[37]) ).
fof(axiom_4,plain,
! [X] :
( cpxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
cnf(34,plain,
( ~ cpxcomp(X0)
| ra_Px1(X0,sK6(X0)) ),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l2866,plain,
( ~ cpxcomp(sK1(i2003_11_14_17_21_19256))
| ra_Px1(sK1(i2003_11_14_17_21_19256),sK6(sK1(i2003_11_14_17_21_19256))) ),
inference(instantiation,[status(thm)],[34]) ).
fof(axiom_14,plain,
! [X,Y] :
( rs(X,Y)
=> rf(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
cnf(53,plain,
( ~ rs(X0,X1)
| rf(X0,X1) ),
inference(cnf,[status(esa)],[axiom_14]) ).
cnf(l177,plain,
( ~ rs(i2003_11_14_17_21_19256,sK9(i2003_11_14_17_21_19256))
| rf(i2003_11_14_17_21_19256,sK9(i2003_11_14_17_21_19256)) ),
inference(instantiation,[status(thm)],[53]) ).
cnf(36,plain,
( ~ ca_Ax2(X0)
| cpxcomp(X0) ),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l2887,plain,
( ~ ca_Ax2(sK1(i2003_11_14_17_21_19256))
| cpxcomp(sK1(i2003_11_14_17_21_19256)) ),
inference(instantiation,[status(thm)],[36]) ).
cnf(l178,plain,
( ~ ca_Vx3(i2003_11_14_17_21_19256)
| rs(i2003_11_14_17_21_19256,sK9(i2003_11_14_17_21_19256)) ),
inference(instantiation,[status(thm)],[40]) ).
cnf(28,plain,
( ~ cUnsatisfiable(X0)
| ca_Ax2(sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l2895,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_19256)
| ca_Ax2(sK1(i2003_11_14_17_21_19256)) ),
inference(instantiation,[status(thm)],[28]) ).
fof(axiom_13,plain,
cUnsatisfiable(i2003_11_14_17_21_19256),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
cnf(52,plain,
cUnsatisfiable(i2003_11_14_17_21_19256),
inference(cnf,[status(esa)],[axiom_13]) ).
cnf(l2916,plain,
cUnsatisfiable(i2003_11_14_17_21_19256),
inference(instantiation,[status(thm)],[52]) ).
cnf(l181,plain,
( ~ ca_Ax2(sK1(i2003_11_14_17_21_19256))
| ~ rinvF1(sK1(i2003_11_14_17_21_19256),i2003_11_14_17_21_19256)
| ca_Vx3(i2003_11_14_17_21_19256) ),
inference(instantiation,[status(thm)],[37]) ).
cnf(27,plain,
( ~ cUnsatisfiable(X0)
| rf1(X0,sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l2862,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_19256)
| rf1(i2003_11_14_17_21_19256,sK1(i2003_11_14_17_21_19256)) ),
inference(instantiation,[status(thm)],[27]) ).
fof(axiom_10,plain,
! [X,Y] :
( rinvF1(X,Y)
<=> rf1(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
cnf(48,plain,
( ~ rf1(X0,X1)
| rinvF1(X1,X0) ),
inference(cnf,[status(esa)],[axiom_10]) ).
cnf(l2923,plain,
( ~ rf1(i2003_11_14_17_21_19256,sK1(i2003_11_14_17_21_19256))
| rinvF1(sK1(i2003_11_14_17_21_19256),i2003_11_14_17_21_19256) ),
inference(instantiation,[status(thm)],[48]) ).
cnf(l2883,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_19256)
| ca_Ax2(sK1(i2003_11_14_17_21_19256)) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(l3,plain,
( ~ ra_Px1(sK2(i2003_11_14_17_21_19256),sK5(sK9(i2003_11_14_17_21_19256)))
| ~ cp(sK2(i2003_11_14_17_21_19256)) ),
inference(instantiation,[status(thm)],[32]) ).
cnf(l174,plain,
cUnsatisfiable(i2003_11_14_17_21_19256),
inference(instantiation,[status(thm)],[52]) ).
cnf(l196,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_19256)
| ca_Ax2(sK1(i2003_11_14_17_21_19256)) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(l2941,plain,
cUnsatisfiable(i2003_11_14_17_21_19256),
inference(instantiation,[status(thm)],[52]) ).
cnf(l2865,plain,
cUnsatisfiable(i2003_11_14_17_21_19256),
inference(instantiation,[status(thm)],[52]) ).
cnf(l415,plain,
( ~ rf1(i2003_11_14_17_21_19256,sK1(i2003_11_14_17_21_19256))
| rinvF1(sK1(i2003_11_14_17_21_19256),i2003_11_14_17_21_19256) ),
inference(instantiation,[status(thm)],[48]) ).
cnf(l423,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_19256)
| rf1(i2003_11_14_17_21_19256,sK1(i2003_11_14_17_21_19256)) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(l670,plain,
cUnsatisfiable(i2003_11_14_17_21_19256),
inference(instantiation,[status(thm)],[52]) ).
cnf(l2949,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_19256)
| rf1(i2003_11_14_17_21_19256,sK1(i2003_11_14_17_21_19256)) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(l198,plain,
cUnsatisfiable(i2003_11_14_17_21_19256),
inference(instantiation,[status(thm)],[52]) ).
cnf(30,plain,
( ~ cUnsatisfiable(X0)
| cp(sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l5,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_19256)
| cp(sK2(i2003_11_14_17_21_19256)) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(l2969,plain,
cUnsatisfiable(i2003_11_14_17_21_19256),
inference(instantiation,[status(thm)],[52]) ).
cnf(l8,plain,
cUnsatisfiable(i2003_11_14_17_21_19256),
inference(instantiation,[status(thm)],[52]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2859,l1,l2860,l172,l2864,l2861,l2872,l173,l2882,l2866,l177,l2887,l178,l2895,l2916,l181,l2862,l2923,l2883,l3,l174,l196,l2941,l2865,l415,l423,l670,l2949,l198,l5,l2969,l8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.07 % Problem : KRS112+1 : TPTP v9.0.0. Released v3.1.0.
% 0.06/0.08 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.27 % Computer : n021.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Sun Jul 20 22:13:04 EDT 2025
% 0.07/0.27 % CPUTime :
% 0.07/0.27 % launching worker at depth: 4
% 0.07/0.27 % launching worker at depth: 7
% 0.07/0.27 % launching worker at depth: 3
% 0.07/0.27 % launching worker at depth: 5
% 0.07/0.27 % launching worker at depth: 6
% 0.07/0.27 % launching worker at depth: 2
% 0.07/0.27 % launching worker at depth: 1
% 0.07/0.27 % launching worker at depth: 8
% 0.07/0.27 % launching worker at depth: 9
% 0.07/0.27 % launching worker at depth: 10
% 0.07/0.29 % launching worker at depth: 11
% 0.10/0.44 % launching worker at depth: 12
% 4.72/0.89 % launching worker at depth: 13
% 33.50/4.50 % launching worker at depth: 14
% 117.30/14.99 % launching worker at depth: 15
% 212.50/26.89 % SZS status Theorem for theBenchmark
% 212.50/26.89 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------