%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS070+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 : n031.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 08:46:36 PM UTC 2025
% Result : Unsatisfiable 0.19s 0.38s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 4 unt; 0 def)
% Number of atoms : 59 ( 3 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 60 ( 26 ~; 23 |; 7 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 24 ( 0 sgn 8 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_8,plain,
cUnsatisfiable(i2003_11_14_17_18_32242),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
cnf(44,plain,
cUnsatisfiable(i2003_11_14_17_18_32242),
inference(cnf,[status(esa)],[axiom_8]) ).
cnf(l0,plain,
cUnsatisfiable(i2003_11_14_17_18_32242),
inference(instantiation,[status(thm)],[44]) ).
fof(axiom_2,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rrx4(X,Y)
& cc2(Y) )
& ~ ? [Y] :
( rrx3(X,Y)
& cc2(Y)
& cc1(Y) )
& ? [Y] :
( rrx3(X,Y)
& cc1(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
cnf(32,plain,
( ~ cUnsatisfiable(X0)
| cc2(sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l1,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_32242)
| cc2(sK1(i2003_11_14_17_18_32242)) ),
inference(instantiation,[status(thm)],[32]) ).
cnf(33,plain,
( ~ cc1(X0)
| ~ cUnsatisfiable(X1)
| ~ cc2(X0)
| ~ rrx3(X1,X0) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l93,plain,
( ~ cc1(sK2(i2003_11_14_17_18_32242))
| ~ cUnsatisfiable(i2003_11_14_17_18_32242)
| ~ cc2(sK2(i2003_11_14_17_18_32242))
| ~ rrx3(i2003_11_14_17_18_32242,sK2(i2003_11_14_17_18_32242)) ),
inference(instantiation,[status(thm)],[33]) ).
cnf(35,plain,
( ~ cUnsatisfiable(X0)
| cc1(sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l96,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_32242)
| cc1(sK2(i2003_11_14_17_18_32242)) ),
inference(instantiation,[status(thm)],[35]) ).
cnf(34,plain,
( ~ cUnsatisfiable(X0)
| rrx3(X0,sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l95,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_32242)
| rrx3(i2003_11_14_17_18_32242,sK2(i2003_11_14_17_18_32242)) ),
inference(instantiation,[status(thm)],[34]) ).
fof(axiom_3,plain,
! [X,Y,Z] :
( ( rrx(X,Y)
& rrx(X,Z) )
=> Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
cnf(39,plain,
( ~ rrx(X0,X1)
| ~ rrx(X0,X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l64,plain,
( ~ rrx(i2003_11_14_17_18_32242,sK1(i2003_11_14_17_18_32242))
| ~ rrx(i2003_11_14_17_18_32242,sK2(i2003_11_14_17_18_32242))
| sK1(i2003_11_14_17_18_32242) = sK2(i2003_11_14_17_18_32242) ),
inference(instantiation,[status(thm)],[39]) ).
fof(axiom_16,plain,
! [X,Y] :
( rrx4(X,Y)
=> rrx(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).
cnf(52,plain,
( ~ rrx4(X0,X1)
| rrx(X0,X1) ),
inference(cnf,[status(esa)],[axiom_16]) ).
cnf(l78,plain,
( ~ rrx4(i2003_11_14_17_18_32242,sK1(i2003_11_14_17_18_32242))
| rrx(i2003_11_14_17_18_32242,sK1(i2003_11_14_17_18_32242)) ),
inference(instantiation,[status(thm)],[52]) ).
fof(axiom_9,plain,
! [X,Y] :
( rrx3(X,Y)
=> rrx(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
cnf(45,plain,
( ~ rrx3(X0,X1)
| rrx(X0,X1) ),
inference(cnf,[status(esa)],[axiom_9]) ).
cnf(l68,plain,
( ~ rrx3(i2003_11_14_17_18_32242,sK2(i2003_11_14_17_18_32242))
| rrx(i2003_11_14_17_18_32242,sK2(i2003_11_14_17_18_32242)) ),
inference(instantiation,[status(thm)],[45]) ).
cnf(l85,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_32242)
| rrx3(i2003_11_14_17_18_32242,sK2(i2003_11_14_17_18_32242)) ),
inference(instantiation,[status(thm)],[34]) ).
cnf(31,plain,
( ~ cUnsatisfiable(X0)
| rrx4(X0,sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l86,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_32242)
| rrx4(i2003_11_14_17_18_32242,sK1(i2003_11_14_17_18_32242)) ),
inference(instantiation,[status(thm)],[31]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l93,l96,l95,l64,l78,l68,l85,l86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS070+1 : TPTP v9.0.0. Released v3.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n031.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Jul 20 22:09:49 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.19/0.34 % launching worker at depth: 9
% 0.19/0.35 % launching worker at depth: 10
% 0.19/0.38 % SZS status Theorem for theBenchmark
% 0.19/0.38 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------