%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS121+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 : n019.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 5.00s 1.01s
% Output : CNFRefutation 5.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 4 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 64 ( 27 ~; 24 |; 5 &)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 30 ( 1 sgn 11 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_11,plain,
cUnsatisfiable(i2003_11_14_17_21_5199),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
cnf(44,plain,
cUnsatisfiable(i2003_11_14_17_21_5199),
inference(cnf,[status(esa)],[axiom_11]) ).
cnf(l0,plain,
cUnsatisfiable(i2003_11_14_17_21_5199),
inference(instantiation,[status(thm)],[44]) ).
fof(axiom_2,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rr(X,Y)
& ca_Vx3(Y) )
& cp1(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
cnf(24,plain,
( ~ cUnsatisfiable(X0)
| ca_Vx3(sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l1,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_5199)
| ca_Vx3(sK1(i2003_11_14_17_21_5199)) ),
inference(instantiation,[status(thm)],[24]) ).
fof(axiom_6,plain,
! [X] :
( ca_Vx3(X)
<=> ? [Y] :
( rr(X,Y)
& ca_Ax2(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
cnf(36,plain,
( ~ ca_Vx3(X0)
| ca_Ax2(sK7(X0)) ),
inference(cnf,[status(esa)],[axiom_6]) ).
cnf(l149,plain,
( ~ ca_Vx3(sK1(i2003_11_14_17_21_5199))
| ca_Ax2(sK7(sK1(i2003_11_14_17_21_5199))) ),
inference(instantiation,[status(thm)],[36]) ).
fof(axiom_5,plain,
! [X] :
( ca_Ax2(X)
<=> ( cp1(X)
& ! [Y] :
( rinvR(X,Y)
=> cp1xcomp(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
cnf(32,plain,
( ~ ca_Ax2(X0)
| ~ rinvR(X0,X1)
| cp1xcomp(X1) ),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l152,plain,
( ~ ca_Ax2(sK7(sK1(i2003_11_14_17_21_5199)))
| ~ rinvR(sK7(sK1(i2003_11_14_17_21_5199)),i2003_11_14_17_21_5199)
| cp1xcomp(i2003_11_14_17_21_5199) ),
inference(instantiation,[status(thm)],[32]) ).
fof(axiom_9,plain,
! [X,Y] :
( rinvR(X,Y)
<=> rr(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
cnf(42,plain,
( ~ rr(X0,X1)
| rinvR(X1,X0) ),
inference(cnf,[status(esa)],[axiom_9]) ).
cnf(l158,plain,
( ~ rr(i2003_11_14_17_21_5199,sK7(sK1(i2003_11_14_17_21_5199)))
| rinvR(sK7(sK1(i2003_11_14_17_21_5199)),i2003_11_14_17_21_5199) ),
inference(instantiation,[status(thm)],[42]) ).
fof(axiom_10,plain,
! [X,Y,Z] :
( ( rr(X,Y)
& rr(Y,Z) )
=> rr(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
cnf(43,plain,
( ~ rr(X0,X1)
| ~ rr(X1,X2)
| rr(X0,X2) ),
inference(cnf,[status(esa)],[axiom_10]) ).
cnf(l198,plain,
( ~ rr(i2003_11_14_17_21_5199,sK1(i2003_11_14_17_21_5199))
| ~ rr(sK1(i2003_11_14_17_21_5199),sK7(sK1(i2003_11_14_17_21_5199)))
| rr(i2003_11_14_17_21_5199,sK7(sK1(i2003_11_14_17_21_5199))) ),
inference(instantiation,[status(thm)],[43]) ).
cnf(23,plain,
( ~ cUnsatisfiable(X0)
| rr(X0,sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l200,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_5199)
| rr(i2003_11_14_17_21_5199,sK1(i2003_11_14_17_21_5199)) ),
inference(instantiation,[status(thm)],[23]) ).
fof(axiom_4,plain,
! [X] :
( cp1xcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
cnf(29,plain,
( ~ cp1xcomp(X0)
| ra_Px1(X0,sK4(X0)) ),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l493,plain,
( ~ cp1xcomp(i2003_11_14_17_21_5199)
| ra_Px1(i2003_11_14_17_21_5199,sK4(i2003_11_14_17_21_5199)) ),
inference(instantiation,[status(thm)],[29]) ).
fof(axiom_3,plain,
! [X] :
( cp1(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
cnf(27,plain,
( ~ ra_Px1(X0,X1)
| ~ cp1(X0) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l495,plain,
( ~ ra_Px1(i2003_11_14_17_21_5199,sK4(i2003_11_14_17_21_5199))
| ~ cp1(i2003_11_14_17_21_5199) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(25,plain,
( ~ cUnsatisfiable(X0)
| cp1(X0) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l522,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_5199)
| cp1(i2003_11_14_17_21_5199) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(35,plain,
( ~ ca_Vx3(X0)
| rr(X0,sK7(X0)) ),
inference(cnf,[status(esa)],[axiom_6]) ).
cnf(l203,plain,
( ~ ca_Vx3(sK1(i2003_11_14_17_21_5199))
| rr(sK1(i2003_11_14_17_21_5199),sK7(sK1(i2003_11_14_17_21_5199))) ),
inference(instantiation,[status(thm)],[35]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l149,l152,l158,l198,l200,l493,l495,l522,l203]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KRS121+1 : TPTP v9.0.0. Released v3.1.0.
% 0.04/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n019.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Jul 20 22:13:49 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % launching worker at depth: 1
% 0.14/0.35 % launching worker at depth: 2
% 0.14/0.35 % launching worker at depth: 4
% 0.14/0.35 % launching worker at depth: 3
% 0.14/0.35 % launching worker at depth: 5
% 0.14/0.35 % launching worker at depth: 6
% 0.14/0.35 % launching worker at depth: 7
% 0.14/0.35 % launching worker at depth: 8
% 0.14/0.35 % launching worker at depth: 9
% 0.21/0.35 % launching worker at depth: 10
% 0.21/0.38 % launching worker at depth: 11
% 0.21/0.43 % launching worker at depth: 12
% 3.47/0.82 % launching worker at depth: 13
% 5.00/1.01 % SZS status Theorem for theBenchmark
% 5.00/1.01 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------