%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS074+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 : n032.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 0.10s 0.30s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 4 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 25 ( 11 ~; 8 |; 4 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 8 ( 0 sgn 2 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_9,plain,
cUnsatisfiable(i2003_11_14_17_18_59896),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
cnf(38,plain,
cUnsatisfiable(i2003_11_14_17_18_59896),
inference(cnf,[status(esa)],[axiom_9]) ).
cnf(l0,plain,
cUnsatisfiable(i2003_11_14_17_18_59896),
inference(instantiation,[status(thm)],[38]) ).
fof(axiom_2,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rs(X,Y)
& cp(Y)
& ? [Z] :
( rinvS(Y,Z)
& cp(Z) ) )
& ! [Y] :
( rs(X,Y)
=> ~ cp(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
cnf(26,plain,
( ~ cUnsatisfiable(X0)
| ~ cp(X1)
| ~ rs(X0,X1) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l1,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_59896)
| ~ cp(sK1(i2003_11_14_17_18_59896))
| ~ rs(i2003_11_14_17_18_59896,sK1(i2003_11_14_17_18_59896)) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(22,plain,
( ~ cUnsatisfiable(X0)
| rs(X0,sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l3,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_59896)
| rs(i2003_11_14_17_18_59896,sK1(i2003_11_14_17_18_59896)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(23,plain,
( ~ cUnsatisfiable(X0)
| cp(sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l6,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_59896)
| cp(sK1(i2003_11_14_17_18_59896)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : KRS074+1 : TPTP v9.0.0. Released v3.1.0.
% 0.02/0.10 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sun Jul 20 22:10:04 EDT 2025
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % launching worker at depth: 2
% 0.10/0.30 % launching worker at depth: 6
% 0.10/0.30 % launching worker at depth: 3
% 0.10/0.30 % launching worker at depth: 4
% 0.10/0.30 % launching worker at depth: 5
% 0.10/0.30 % launching worker at depth: 7
% 0.10/0.30 % launching worker at depth: 8
% 0.10/0.30 % launching worker at depth: 1
% 0.10/0.30 % SZS status Theorem for theBenchmark
% 0.10/0.30 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------