%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS087+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 : n024.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 08:46:38 PM UTC 2025
% Result : Unsatisfiable 0.12s 0.36s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 4 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 44 ( 19 ~; 16 |; 5 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 19 ( 0 sgn 7 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_7,plain,
cUnsatisfiable(i2003_11_14_17_19_46763),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
cnf(31,plain,
cUnsatisfiable(i2003_11_14_17_19_46763),
inference(cnf,[status(esa)],[axiom_7]) ).
cnf(l0,plain,
cUnsatisfiable(i2003_11_14_17_19_46763),
inference(instantiation,[status(thm)],[31]) ).
fof(axiom_2,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( cp1(X)
& ? [Y] :
( rr(X,Y)
& ? [Z] :
( rr(Y,Z)
& ! [W] :
( rinvR(Z,W)
=> ~ cp1(W) )
& cp1(Z) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(21,plain,
( ~ cUnsatisfiable(X0)
| ~ cp1(X1)
| ~ rinvR(sK2(X0),X1) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l1,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_46763)
| ~ cp1(i2003_11_14_17_19_46763)
| ~ rinvR(sK2(i2003_11_14_17_19_46763),i2003_11_14_17_19_46763) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(18,plain,
( ~ cUnsatisfiable(X0)
| cp1(X0) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l26,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_46763)
| cp1(i2003_11_14_17_19_46763) ),
inference(instantiation,[status(thm)],[18]) ).
fof(axiom_5,plain,
! [X,Y] :
( rinvR(X,Y)
<=> rr(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
cnf(29,plain,
( ~ rr(X0,X1)
| rinvR(X1,X0) ),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l3,plain,
( ~ rr(i2003_11_14_17_19_46763,sK2(i2003_11_14_17_19_46763))
| rinvR(sK2(i2003_11_14_17_19_46763),i2003_11_14_17_19_46763) ),
inference(instantiation,[status(thm)],[29]) ).
fof(axiom_6,plain,
! [X,Y,Z] :
( ( rr(X,Y)
& rr(Y,Z) )
=> rr(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
cnf(30,plain,
( ~ rr(X0,X1)
| ~ rr(X1,X2)
| rr(X0,X2) ),
inference(cnf,[status(esa)],[axiom_6]) ).
cnf(l23,plain,
( ~ rr(i2003_11_14_17_19_46763,sK1(i2003_11_14_17_19_46763))
| ~ rr(sK1(i2003_11_14_17_19_46763),sK2(i2003_11_14_17_19_46763))
| rr(i2003_11_14_17_19_46763,sK2(i2003_11_14_17_19_46763)) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(20,plain,
( ~ cUnsatisfiable(X0)
| rr(sK1(X0),sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l54,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_46763)
| rr(sK1(i2003_11_14_17_19_46763),sK2(i2003_11_14_17_19_46763)) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(19,plain,
( ~ cUnsatisfiable(X0)
| rr(X0,sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l24,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_46763)
| rr(i2003_11_14_17_19_46763,sK1(i2003_11_14_17_19_46763)) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l26,l3,l23,l54,l24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KRS087+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 : n024.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 22:11:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.36 % SZS status Theorem for theBenchmark
% 0.12/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------