%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS076+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 : n028.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 17.40s 2.59s
% Output : CNFRefutation 17.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 4 unt; 0 def)
% Number of atoms : 75 ( 7 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 75 ( 32 ~; 29 |; 7 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn 14 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_9,plain,
cUnsatisfiable(i2003_11_14_17_19_06193),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
cnf(39,plain,
cUnsatisfiable(i2003_11_14_17_19_06193),
inference(cnf,[status(esa)],[axiom_9]) ).
cnf(l0,plain,
cUnsatisfiable(i2003_11_14_17_19_06193),
inference(instantiation,[status(thm)],[39]) ).
fof(axiom_2,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rf(X,Y)
& cp(Y) )
& ? [Y] :
( rf1(X,Y)
& ~ cp(Y)
& ! [Z] :
( rinvF1(Y,Z)
=> ? [W] :
( rs(Z,W)
& cowlThing(W) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(26,plain,
( ~ cUnsatisfiable(X0)
| ~ rinvF1(sK2(X0),X1)
| rs(X1,sK3(X0,X1)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l1,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_06193)
| ~ rinvF1(sK2(i2003_11_14_17_19_06193),i2003_11_14_17_19_06193)
| rs(i2003_11_14_17_19_06193,sK3(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193)) ),
inference(instantiation,[status(thm)],[26]) ).
fof(axiom_6,plain,
! [X,Y] :
( rinvF1(X,Y)
<=> rf1(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
cnf(35,plain,
( ~ rf1(X0,X1)
| rinvF1(X1,X0) ),
inference(cnf,[status(esa)],[axiom_6]) ).
cnf(l2,plain,
( ~ rf1(i2003_11_14_17_19_06193,sK2(i2003_11_14_17_19_06193))
| rinvF1(sK2(i2003_11_14_17_19_06193),i2003_11_14_17_19_06193) ),
inference(instantiation,[status(thm)],[35]) ).
fof(axiom_11,plain,
! [X,Y] :
( rs(X,Y)
=> rf(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
cnf(41,plain,
( ~ rs(X0,X1)
| rf(X0,X1) ),
inference(cnf,[status(esa)],[axiom_11]) ).
cnf(l6,plain,
( ~ rs(i2003_11_14_17_19_06193,sK3(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193))
| rf(i2003_11_14_17_19_06193,sK3(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193)) ),
inference(instantiation,[status(thm)],[41]) ).
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(30,plain,
( ~ rf(X0,X1)
| ~ rf(X0,X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l253,plain,
( ~ rf(i2003_11_14_17_19_06193,sK3(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193))
| ~ rf(i2003_11_14_17_19_06193,sK2(i2003_11_14_17_19_06193))
| sK3(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193) = sK2(i2003_11_14_17_19_06193) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(24,plain,
( ~ cUnsatisfiable(X0)
| rf1(X0,sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l8,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_06193)
| rf1(i2003_11_14_17_19_06193,sK2(i2003_11_14_17_19_06193)) ),
inference(instantiation,[status(thm)],[24]) ).
fof(axiom_4,plain,
! [X,Y,Z] :
( ( rf1(X,Y)
& rf1(X,Z) )
=> Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
cnf(31,plain,
( ~ rf1(X0,X1)
| ~ rf1(X0,X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l325,plain,
( ~ rf1(i2003_11_14_17_19_06193,sK3(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193))
| ~ rf1(i2003_11_14_17_19_06193,sK2(i2003_11_14_17_19_06193))
| sK3(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193) = sK2(i2003_11_14_17_19_06193) ),
inference(instantiation,[status(thm)],[31]) ).
cnf(l359,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_06193)
| rf1(i2003_11_14_17_19_06193,sK2(i2003_11_14_17_19_06193)) ),
inference(instantiation,[status(thm)],[24]) ).
fof(axiom_10,plain,
! [X,Y] :
( rs(X,Y)
=> rf1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
cnf(40,plain,
( ~ rs(X0,X1)
| rf1(X0,X1) ),
inference(cnf,[status(esa)],[axiom_10]) ).
cnf(l360,plain,
( ~ rs(i2003_11_14_17_19_06193,sK3(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193))
| rf1(i2003_11_14_17_19_06193,sK3(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193)) ),
inference(instantiation,[status(thm)],[40]) ).
cnf(l457,plain,
( ~ rf(i2003_11_14_17_19_06193,sK1(i2003_11_14_17_19_06193))
| ~ rf(i2003_11_14_17_19_06193,sK3(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193))
| sK1(i2003_11_14_17_19_06193) = sK3(i2003_11_14_17_19_06193,i2003_11_14_17_19_06193) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(22,plain,
( ~ cUnsatisfiable(X0)
| rf(X0,sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l458,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_06193)
| rf(i2003_11_14_17_19_06193,sK1(i2003_11_14_17_19_06193)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(25,plain,
( ~ cUnsatisfiable(X0)
| ~ cp(sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l1418,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_06193)
| ~ cp(sK2(i2003_11_14_17_19_06193)) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(23,plain,
( ~ cUnsatisfiable(X0)
| cp(sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l1448,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_06193)
| cp(sK1(i2003_11_14_17_19_06193)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l6,l253,l8,l325,l359,l360,l457,l458,l1418,l1448]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KRS076+1 : TPTP v9.0.0. Released v3.1.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n028.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: 5
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.38 % launching worker at depth: 10
% 0.13/0.39 % launching worker at depth: 11
% 2.06/0.60 % launching worker at depth: 12
% 9.54/1.58 % launching worker at depth: 13
% 17.40/2.59 % SZS status Theorem for theBenchmark
% 17.40/2.59 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------