%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS077+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 : n022.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 08:46:37 PM UTC 2025
% Result : Unsatisfiable 0.18s 0.47s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 4 unt; 0 def)
% Number of atoms : 54 ( 3 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 56 ( 24 ~; 21 |; 6 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 22 ( 0 sgn 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_4,plain,
cUnsatisfiable(i2003_11_14_17_19_09372),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
cnf(29,plain,
cUnsatisfiable(i2003_11_14_17_19_09372),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l0,plain,
cUnsatisfiable(i2003_11_14_17_19_09372),
inference(instantiation,[status(thm)],[29]) ).
fof(axiom_2,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ! [Y0,Y1] :
( ( rr(X,Y0)
& rr(X,Y1) )
=> Y0 = Y1 )
& ? [Y] :
( rr(X,Y)
& ! [Z] :
( rinvS(Y,Z)
=> cp(Z) ) )
& ~ cp(X)
& ? [Y] :
( rs(X,Y)
& cp(Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(17,plain,
( ~ cUnsatisfiable(X0)
| rr(X0,sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l1,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_09372)
| rr(i2003_11_14_17_19_09372,sK1(i2003_11_14_17_19_09372)) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(16,plain,
( ~ rr(X0,X1)
| ~ rr(X0,X2)
| ~ cUnsatisfiable(X0)
| X1 = X2 ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l157,plain,
( ~ rr(i2003_11_14_17_19_09372,sK2(i2003_11_14_17_19_09372))
| ~ rr(i2003_11_14_17_19_09372,sK1(i2003_11_14_17_19_09372))
| ~ cUnsatisfiable(i2003_11_14_17_19_09372)
| sK2(i2003_11_14_17_19_09372) = sK1(i2003_11_14_17_19_09372) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(18,plain,
( ~ cUnsatisfiable(X0)
| ~ rinvS(sK1(X0),X1)
| cp(X1) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l292,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_09372)
| ~ rinvS(sK1(i2003_11_14_17_19_09372),i2003_11_14_17_19_09372)
| cp(i2003_11_14_17_19_09372) ),
inference(instantiation,[status(thm)],[18]) ).
fof(axiom_3,plain,
! [X,Y] :
( rinvS(X,Y)
<=> rs(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
cnf(28,plain,
( ~ rs(X0,X1)
| rinvS(X1,X0) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l293,plain,
( ~ rs(i2003_11_14_17_19_09372,sK2(i2003_11_14_17_19_09372))
| rinvS(sK2(i2003_11_14_17_19_09372),i2003_11_14_17_19_09372) ),
inference(instantiation,[status(thm)],[28]) ).
fof(axiom_5,plain,
! [X,Y] :
( rs(X,Y)
=> rr(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
cnf(30,plain,
( ~ rs(X0,X1)
| rr(X0,X1) ),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l159,plain,
( ~ rs(i2003_11_14_17_19_09372,sK2(i2003_11_14_17_19_09372))
| rr(i2003_11_14_17_19_09372,sK2(i2003_11_14_17_19_09372)) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(19,plain,
( ~ cUnsatisfiable(X0)
| ~ cp(X0) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l298,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_09372)
| ~ cp(i2003_11_14_17_19_09372) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(20,plain,
( ~ cUnsatisfiable(X0)
| rs(X0,sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l163,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_09372)
| rs(i2003_11_14_17_19_09372,sK2(i2003_11_14_17_19_09372)) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(l294,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_09372)
| rs(i2003_11_14_17_19_09372,sK2(i2003_11_14_17_19_09372)) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l157,l292,l293,l159,l298,l163,l294]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : KRS077+1 : TPTP v9.0.0. Released v3.1.0.
% 0.06/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jul 20 22:10:35 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.37 % launching worker at depth: 11
% 0.18/0.47 % SZS status Theorem for theBenchmark
% 0.18/0.47 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------