%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS114+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 57.83s 7.84s
% Output : CNFRefutation 57.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of formulae : 48 ( 9 unt; 0 def)
% Number of atoms : 105 ( 6 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 98 ( 41 ~; 39 |; 8 &)
% ( 7 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 40 ( 1 sgn 14 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_3,plain,
! [X] :
( cp(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
cnf(32,plain,
( cp(X0)
| ra_Px1(X0,sK5(X0)) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l0,plain,
( cp(sK2(i2003_11_14_17_21_262))
| ra_Px1(sK2(i2003_11_14_17_21_262),sK5(sK2(i2003_11_14_17_21_262))) ),
inference(instantiation,[status(thm)],[32]) ).
cnf(31,plain,
( ~ cp(X0)
| ~ ra_Px1(X0,X1) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l1,plain,
( ~ cp(sK2(i2003_11_14_17_21_262))
| ~ ra_Px1(sK2(i2003_11_14_17_21_262),sK6(sK2(i2003_11_14_17_21_262))) ),
inference(instantiation,[status(thm)],[31]) ).
cnf(l188,plain,
( ~ cp(sK2(i2003_11_14_17_21_262))
| ~ ra_Px1(sK2(i2003_11_14_17_21_262),sK5(sK2(i2003_11_14_17_21_262))) ),
inference(instantiation,[status(thm)],[31]) ).
fof(axiom_9,plain,
! [X] :
( ca_Vx5(X)
<=> ! [Y] :
( rs(X,Y)
=> cp(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
cnf(48,plain,
( ~ ca_Vx5(X0)
| ~ rs(X0,X1)
| cp(X1) ),
inference(cnf,[status(esa)],[axiom_9]) ).
cnf(l189,plain,
( ~ ca_Vx5(sK11(sK1(i2003_11_14_17_21_262)))
| ~ rs(sK11(sK1(i2003_11_14_17_21_262)),sK2(i2003_11_14_17_21_262))
| cp(sK2(i2003_11_14_17_21_262)) ),
inference(instantiation,[status(thm)],[48]) ).
fof(rs_substitution_1,plain,
! [A,B,C] :
( ( A = B
& rs(A,C) )
=> rs(B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rs_substitution_1) ).
cnf(18,plain,
( X0 != X1
| ~ rs(X0,X2)
| rs(X1,X2) ),
inference(cnf,[status(esa)],[rs_substitution_1]) ).
cnf(l193,plain,
( i2003_11_14_17_21_262 != sK11(sK1(i2003_11_14_17_21_262))
| ~ rs(i2003_11_14_17_21_262,sK2(i2003_11_14_17_21_262))
| rs(sK11(sK1(i2003_11_14_17_21_262)),sK2(i2003_11_14_17_21_262)) ),
inference(instantiation,[status(thm)],[18]) ).
fof(axiom_8,plain,
! [X] :
( ca_Ax4(X)
<=> ( ! [Y0,Y1] :
( ( rinvR(X,Y0)
& rinvR(X,Y1) )
=> Y0 = Y1 )
& ? [Y] :
( rinvR(X,Y)
& ca_Vx5(Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
cnf(42,plain,
( ~ ca_Ax4(X0)
| ~ rinvR(X0,X1)
| ~ rinvR(X0,X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[axiom_8]) ).
cnf(l204,plain,
( ~ ca_Ax4(sK1(i2003_11_14_17_21_262))
| ~ rinvR(sK1(i2003_11_14_17_21_262),i2003_11_14_17_21_262)
| ~ rinvR(sK1(i2003_11_14_17_21_262),sK11(sK1(i2003_11_14_17_21_262)))
| i2003_11_14_17_21_262 = sK11(sK1(i2003_11_14_17_21_262)) ),
inference(instantiation,[status(thm)],[42]) ).
fof(axiom_4,plain,
! [X] :
( cpxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
cnf(33,plain,
( ~ cpxcomp(X0)
| ra_Px1(X0,sK6(X0)) ),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l990,plain,
( ~ cpxcomp(sK2(i2003_11_14_17_21_262))
| ra_Px1(sK2(i2003_11_14_17_21_262),sK6(sK2(i2003_11_14_17_21_262))) ),
inference(instantiation,[status(thm)],[33]) ).
fof(axiom_2,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rr(X,Y)
& ca_Ax4(Y) )
& ? [Y] :
( rs(X,Y)
& ca_Ax3(Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(28,plain,
( ~ cUnsatisfiable(X0)
| rs(X0,sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l200,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_262)
| rs(i2003_11_14_17_21_262,sK2(i2003_11_14_17_21_262)) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(27,plain,
( ~ cUnsatisfiable(X0)
| ca_Ax4(sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l355,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_262)
| ca_Ax4(sK1(i2003_11_14_17_21_262)) ),
inference(instantiation,[status(thm)],[27]) ).
fof(axiom_7,plain,
! [X] :
( ca_Ax3(X)
<=> ( cqxcomp(X)
& cpxcomp(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
cnf(40,plain,
( ~ ca_Ax3(X0)
| cpxcomp(X0) ),
inference(cnf,[status(esa)],[axiom_7]) ).
cnf(l991,plain,
( ~ ca_Ax3(sK2(i2003_11_14_17_21_262))
| cpxcomp(sK2(i2003_11_14_17_21_262)) ),
inference(instantiation,[status(thm)],[40]) ).
fof(axiom_11,plain,
cUnsatisfiable(i2003_11_14_17_21_262),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
cnf(53,plain,
cUnsatisfiable(i2003_11_14_17_21_262),
inference(cnf,[status(esa)],[axiom_11]) ).
cnf(l251,plain,
cUnsatisfiable(i2003_11_14_17_21_262),
inference(instantiation,[status(thm)],[53]) ).
cnf(29,plain,
( ~ cUnsatisfiable(X0)
| ca_Ax3(sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l992,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_262)
| ca_Ax3(sK2(i2003_11_14_17_21_262)) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(l999,plain,
cUnsatisfiable(i2003_11_14_17_21_262),
inference(instantiation,[status(thm)],[53]) ).
cnf(43,plain,
( ~ ca_Ax4(X0)
| rinvR(X0,sK11(X0)) ),
inference(cnf,[status(esa)],[axiom_8]) ).
cnf(l621,plain,
( ~ ca_Ax4(sK1(i2003_11_14_17_21_262))
| rinvR(sK1(i2003_11_14_17_21_262),sK11(sK1(i2003_11_14_17_21_262))) ),
inference(instantiation,[status(thm)],[43]) ).
cnf(l365,plain,
cUnsatisfiable(i2003_11_14_17_21_262),
inference(instantiation,[status(thm)],[53]) ).
fof(axiom_10,plain,
! [X,Y] :
( rinvR(X,Y)
<=> rr(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
cnf(52,plain,
( ~ rr(X0,X1)
| rinvR(X1,X0) ),
inference(cnf,[status(esa)],[axiom_10]) ).
cnf(l349,plain,
( ~ rr(i2003_11_14_17_21_262,sK1(i2003_11_14_17_21_262))
| rinvR(sK1(i2003_11_14_17_21_262),i2003_11_14_17_21_262) ),
inference(instantiation,[status(thm)],[52]) ).
cnf(26,plain,
( ~ cUnsatisfiable(X0)
| rr(X0,sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l351,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_262)
| rr(i2003_11_14_17_21_262,sK1(i2003_11_14_17_21_262)) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(l622,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_262)
| ca_Ax4(sK1(i2003_11_14_17_21_262)) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(l383,plain,
cUnsatisfiable(i2003_11_14_17_21_262),
inference(instantiation,[status(thm)],[53]) ).
cnf(l858,plain,
cUnsatisfiable(i2003_11_14_17_21_262),
inference(instantiation,[status(thm)],[53]) ).
cnf(44,plain,
( ~ ca_Ax4(X0)
| ca_Vx5(sK11(X0)) ),
inference(cnf,[status(esa)],[axiom_8]) ).
cnf(l190,plain,
( ~ ca_Ax4(sK1(i2003_11_14_17_21_262))
| ca_Vx5(sK11(sK1(i2003_11_14_17_21_262))) ),
inference(instantiation,[status(thm)],[44]) ).
cnf(l197,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_262)
| ca_Ax4(sK1(i2003_11_14_17_21_262)) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(l279,plain,
cUnsatisfiable(i2003_11_14_17_21_262),
inference(instantiation,[status(thm)],[53]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l188,l189,l193,l204,l990,l200,l355,l991,l251,l992,l999,l621,l365,l349,l351,l622,l383,l858,l190,l197,l279]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.32 % Problem : KRS114+1 : TPTP v9.0.0. Released v3.1.0.
% 0.11/0.33 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.54 % Computer : n018.cluster.edu
% 0.15/0.54 % Model : x86_64 x86_64
% 0.15/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.54 % Memory : 8042.1875MB
% 0.15/0.54 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.54 % CPULimit : 300
% 0.15/0.54 % WCLimit : 300
% 0.15/0.54 % DateTime : Sun Jul 20 22:12:49 EDT 2025
% 0.15/0.54 % CPUTime :
% 0.15/0.55 % launching worker at depth: 1
% 0.15/0.55 % launching worker at depth: 8
% 0.15/0.55 % launching worker at depth: 4
% 0.15/0.55 % launching worker at depth: 2
% 0.15/0.55 % launching worker at depth: 5
% 0.15/0.55 % launching worker at depth: 7
% 0.15/0.55 % launching worker at depth: 6
% 0.15/0.55 % launching worker at depth: 3
% 0.15/0.55 % launching worker at depth: 9
% 0.15/0.55 % launching worker at depth: 10
% 0.15/0.61 % launching worker at depth: 11
% 0.18/0.71 % launching worker at depth: 12
% 10.21/1.83 % launching worker at depth: 13
% 57.83/7.84 % SZS status Theorem for theBenchmark
% 57.83/7.84 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------