%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS088+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 : n017.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 2.00s 0.58s
% Output : CNFRefutation 2.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 4 unt; 0 def)
% Number of atoms : 60 ( 6 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 63 ( 28 ~; 25 |; 5 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn 9 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_7,plain,
cUnsatisfiable(i2003_11_14_17_19_49673),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
cnf(30,plain,
cUnsatisfiable(i2003_11_14_17_19_49673),
inference(cnf,[status(esa)],[axiom_7]) ).
cnf(l0,plain,
cUnsatisfiable(i2003_11_14_17_19_49673),
inference(instantiation,[status(thm)],[30]) ).
fof(axiom_2,plain,
! [X] :
( cUnsatisfiable(X)
<=> ? [Y] :
( rf(X,Y)
& ! [Z] :
( rinvF(Y,Z)
=> ? [W] :
( rf(Z,W)
& ~ cp1(W) ) )
& cp1(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(21,plain,
( ~ cUnsatisfiable(X0)
| cp1(sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l1,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_49673)
| cp1(sK1(i2003_11_14_17_19_49673)) ),
inference(instantiation,[status(thm)],[21]) ).
fof(cp1_substitution_1,plain,
! [A,B] :
( ( A = B
& cp1(A) )
=> cp1(B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp1_substitution_1) ).
cnf(3,plain,
( X0 != X1
| ~ cp1(X0)
| cp1(X1) ),
inference(cnf,[status(esa)],[cp1_substitution_1]) ).
cnf(l172,plain,
( sK1(i2003_11_14_17_19_49673) != sK2(i2003_11_14_17_19_49673,i2003_11_14_17_19_49673)
| ~ cp1(sK1(i2003_11_14_17_19_49673))
| cp1(sK2(i2003_11_14_17_19_49673,i2003_11_14_17_19_49673)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(20,plain,
( ~ rinvF(sK1(X0),X1)
| ~ cUnsatisfiable(X0)
| ~ cp1(sK2(X0,X1)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l256,plain,
( ~ rinvF(sK1(i2003_11_14_17_19_49673),i2003_11_14_17_19_49673)
| ~ cUnsatisfiable(i2003_11_14_17_19_49673)
| ~ cp1(sK2(i2003_11_14_17_19_49673,i2003_11_14_17_19_49673)) ),
inference(instantiation,[status(thm)],[20]) ).
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(24,plain,
( ~ rf(X0,X1)
| ~ rf(X0,X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l174,plain,
( ~ rf(i2003_11_14_17_19_49673,sK1(i2003_11_14_17_19_49673))
| ~ rf(i2003_11_14_17_19_49673,sK2(i2003_11_14_17_19_49673,i2003_11_14_17_19_49673))
| sK1(i2003_11_14_17_19_49673) = sK2(i2003_11_14_17_19_49673,i2003_11_14_17_19_49673) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(18,plain,
( ~ cUnsatisfiable(X0)
| rf(X0,sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l176,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_49673)
| rf(i2003_11_14_17_19_49673,sK1(i2003_11_14_17_19_49673)) ),
inference(instantiation,[status(thm)],[18]) ).
fof(axiom_4,plain,
! [X,Y] :
( rinvF(X,Y)
<=> rf(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
cnf(26,plain,
( ~ rf(X0,X1)
| rinvF(X1,X0) ),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l257,plain,
( ~ rf(i2003_11_14_17_19_49673,sK1(i2003_11_14_17_19_49673))
| rinvF(sK1(i2003_11_14_17_19_49673),i2003_11_14_17_19_49673) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(l258,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_49673)
| rf(i2003_11_14_17_19_49673,sK1(i2003_11_14_17_19_49673)) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(19,plain,
( ~ rinvF(sK1(X0),X1)
| ~ cUnsatisfiable(X0)
| rf(X1,sK2(X0,X1)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l195,plain,
( ~ rinvF(sK1(i2003_11_14_17_19_49673),i2003_11_14_17_19_49673)
| ~ cUnsatisfiable(i2003_11_14_17_19_49673)
| rf(i2003_11_14_17_19_49673,sK2(i2003_11_14_17_19_49673,i2003_11_14_17_19_49673)) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l232,plain,
( ~ rf(i2003_11_14_17_19_49673,sK1(i2003_11_14_17_19_49673))
| rinvF(sK1(i2003_11_14_17_19_49673),i2003_11_14_17_19_49673) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(l234,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_49673)
| rf(i2003_11_14_17_19_49673,sK1(i2003_11_14_17_19_49673)) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l172,l256,l174,l176,l257,l258,l195,l232,l234]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS088+1 : TPTP v9.0.0. Released v3.1.0.
% 0.07/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Jul 20 22:11:19 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 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: 5
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.12/0.37 % launching worker at depth: 11
% 0.19/0.52 % launching worker at depth: 12
% 2.00/0.58 % SZS status Theorem for theBenchmark
% 2.00/0.58 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------