%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS073+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 : n023.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 2.38s 0.64s
% Output : CNFRefutation 2.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of formulae : 26 ( 4 unt; 0 def)
% Number of atoms : 61 ( 3 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 61 ( 26 ~; 23 |; 5 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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; 0-2 aty)
% Number of variables : 29 ( 0 sgn 12 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_9,plain,
cUnsatisfiable(i2003_11_14_17_18_54369),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
cnf(40,plain,
cUnsatisfiable(i2003_11_14_17_18_54369),
inference(cnf,[status(esa)],[axiom_9]) ).
cnf(l0,plain,
cUnsatisfiable(i2003_11_14_17_18_54369),
inference(instantiation,[status(thm)],[40]) ).
fof(axiom_2,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rf(X,Y)
& ! [Z] :
( rinvS(Y,Z)
=> cp(Z) )
& ! [Z] :
( rinvF(Y,Z)
=> ? [W] :
( rs(Z,W)
& cp(W) ) ) )
& ~ cp(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(24,plain,
( ~ cUnsatisfiable(X0)
| ~ rinvF(sK1(X0),X1)
| rs(X1,sK2(X0,X1)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l1,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_54369)
| ~ rinvF(sK1(i2003_11_14_17_18_54369),i2003_11_14_17_18_54369)
| rs(i2003_11_14_17_18_54369,sK2(i2003_11_14_17_18_54369,i2003_11_14_17_18_54369)) ),
inference(instantiation,[status(thm)],[24]) ).
fof(axiom_7,plain,
! [X,Y] :
( rinvS(X,Y)
<=> rs(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
cnf(38,plain,
( ~ rs(X0,X1)
| rinvS(X1,X0) ),
inference(cnf,[status(esa)],[axiom_7]) ).
cnf(l166,plain,
( ~ rs(i2003_11_14_17_18_54369,sK1(i2003_11_14_17_18_54369))
| rinvS(sK1(i2003_11_14_17_18_54369),i2003_11_14_17_18_54369) ),
inference(instantiation,[status(thm)],[38]) ).
fof(axiom_3,plain,
! [X,Y,Z] :
( ( rf(X,Y)
& rf(X,Z) )
=> Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
cnf(31,plain,
( ~ rf(X0,X1)
| ~ rf(X0,X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l10,plain,
( ~ rf(i2003_11_14_17_18_54369,sK2(i2003_11_14_17_18_54369,i2003_11_14_17_18_54369))
| ~ rf(i2003_11_14_17_18_54369,sK1(i2003_11_14_17_18_54369))
| sK2(i2003_11_14_17_18_54369,i2003_11_14_17_18_54369) = sK1(i2003_11_14_17_18_54369) ),
inference(instantiation,[status(thm)],[31]) ).
cnf(23,plain,
( ~ cUnsatisfiable(X0)
| ~ rinvS(sK1(X0),X1)
| cp(X1) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l176,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_54369)
| ~ rinvS(sK1(i2003_11_14_17_18_54369),i2003_11_14_17_18_54369)
| cp(i2003_11_14_17_18_54369) ),
inference(instantiation,[status(thm)],[23]) ).
fof(axiom_5,plain,
! [X,Y] :
( rinvF(X,Y)
<=> rf(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
cnf(34,plain,
( ~ rf(X0,X1)
| rinvF(X1,X0) ),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l34,plain,
( ~ rf(i2003_11_14_17_18_54369,sK1(i2003_11_14_17_18_54369))
| rinvF(sK1(i2003_11_14_17_18_54369),i2003_11_14_17_18_54369) ),
inference(instantiation,[status(thm)],[34]) ).
cnf(22,plain,
( ~ cUnsatisfiable(X0)
| rf(X0,sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l44,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_54369)
| rf(i2003_11_14_17_18_54369,sK1(i2003_11_14_17_18_54369)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l20,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_54369)
| rf(i2003_11_14_17_18_54369,sK1(i2003_11_14_17_18_54369)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(26,plain,
( ~ cUnsatisfiable(X0)
| ~ cp(X0) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l178,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_54369)
| ~ cp(i2003_11_14_17_18_54369) ),
inference(instantiation,[status(thm)],[26]) ).
fof(axiom_11,plain,
! [X,Y] :
( rs(X,Y)
=> rf(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
cnf(42,plain,
( ~ rs(X0,X1)
| rf(X0,X1) ),
inference(cnf,[status(esa)],[axiom_11]) ).
cnf(l11,plain,
( ~ rs(i2003_11_14_17_18_54369,sK2(i2003_11_14_17_18_54369,i2003_11_14_17_18_54369))
| rf(i2003_11_14_17_18_54369,sK2(i2003_11_14_17_18_54369,i2003_11_14_17_18_54369)) ),
inference(instantiation,[status(thm)],[42]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l166,l10,l176,l34,l44,l20,l178,l11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : KRS073+1 : TPTP v9.0.0. Released v3.1.0.
% 0.08/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Jul 20 22:10:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.38 % launching worker at depth: 11
% 1.67/0.55 % launching worker at depth: 12
% 2.38/0.64 % SZS status Theorem for theBenchmark
% 2.38/0.65 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------