%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS086+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 : 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 0.12s 0.42s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 9 unt; 0 def)
% Number of atoms : 60 ( 6 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 56 ( 24 ~; 20 |; 7 &)
% ( 2 <=>; 3 =>; 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 : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 24 ( 1 sgn 9 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_0,plain,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
cnf(14,plain,
cowlThing(X0),
inference(cnf,[status(esa)],[axiom_0]) ).
cnf(l0,plain,
cowlThing(sK2(i2003_11_14_17_19_42328)),
inference(instantiation,[status(thm)],[14]) ).
fof(axiom_3,plain,
! [X] :
( cowlThing(X)
=> ! [Y0,Y1] :
( ( rf(X,Y0)
& rf(X,Y1) )
=> Y0 = Y1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
cnf(24,plain,
( ~ cowlThing(X0)
| ~ rf(X0,X1)
| ~ rf(X0,X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l1,plain,
( ~ cowlThing(sK2(i2003_11_14_17_19_42328))
| ~ rf(sK2(i2003_11_14_17_19_42328),sK1(i2003_11_14_17_19_42328))
| ~ rf(sK2(i2003_11_14_17_19_42328),sK3(i2003_11_14_17_19_42328))
| sK1(i2003_11_14_17_19_42328) = sK3(i2003_11_14_17_19_42328) ),
inference(instantiation,[status(thm)],[24]) ).
fof(axiom_4,plain,
! [X,Y] :
( rinvF(X,Y)
<=> rf(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
cnf(25,plain,
( ~ rinvF(X0,X1)
| rf(X1,X0) ),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l2,plain,
( ~ rinvF(sK1(i2003_11_14_17_19_42328),sK2(i2003_11_14_17_19_42328))
| rf(sK2(i2003_11_14_17_19_42328),sK1(i2003_11_14_17_19_42328)) ),
inference(instantiation,[status(thm)],[25]) ).
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/sandbox/benchmark/theBenchmark.p',axiom_2) ).
cnf(20,plain,
( ~ cUnsatisfiable(X0)
| rf(sK2(X0),sK3(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l3,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_42328)
| rf(sK2(i2003_11_14_17_19_42328),sK3(i2003_11_14_17_19_42328)) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(19,plain,
( ~ cUnsatisfiable(X0)
| rinvF(sK1(X0),sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l12,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_42328)
| rinvF(sK1(i2003_11_14_17_19_42328),sK2(i2003_11_14_17_19_42328)) ),
inference(instantiation,[status(thm)],[19]) ).
fof(axiom_7,plain,
cUnsatisfiable(i2003_11_14_17_19_42328),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
cnf(30,plain,
cUnsatisfiable(i2003_11_14_17_19_42328),
inference(cnf,[status(esa)],[axiom_7]) ).
cnf(l18,plain,
cUnsatisfiable(i2003_11_14_17_19_42328),
inference(instantiation,[status(thm)],[30]) ).
cnf(l7,plain,
cUnsatisfiable(i2003_11_14_17_19_42328),
inference(instantiation,[status(thm)],[30]) ).
fof(cp1_substitution_1,plain,
! [A,B] :
( ( A = B
& cp1(A) )
=> cp1(B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp1_substitution_1) ).
cnf(3,plain,
( X0 != X1
| ~ cp1(X0)
| cp1(X1) ),
inference(cnf,[status(esa)],[cp1_substitution_1]) ).
cnf(l4,plain,
( sK1(i2003_11_14_17_19_42328) != sK3(i2003_11_14_17_19_42328)
| ~ cp1(sK1(i2003_11_14_17_19_42328))
| cp1(sK3(i2003_11_14_17_19_42328)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(21,plain,
( ~ cUnsatisfiable(X0)
| ~ cp1(sK3(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l11,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_42328)
| ~ cp1(sK3(i2003_11_14_17_19_42328)) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l33,plain,
cUnsatisfiable(i2003_11_14_17_19_42328),
inference(instantiation,[status(thm)],[30]) ).
cnf(22,plain,
( ~ cUnsatisfiable(X0)
| cp1(sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l10,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_42328)
| cp1(sK1(i2003_11_14_17_19_42328)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l25,plain,
cUnsatisfiable(i2003_11_14_17_19_42328),
inference(instantiation,[status(thm)],[30]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l12,l18,l7,l4,l11,l33,l10,l25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KRS086+1 : TPTP v9.0.0. Released v3.1.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/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 22:11:04 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % launching worker at depth: 1
% 0.12/0.35 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 5
% 0.12/0.35 % launching worker at depth: 2
% 0.12/0.35 % launching worker at depth: 6
% 0.12/0.35 % launching worker at depth: 7
% 0.12/0.35 % 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
% 0.12/0.42 % SZS status Theorem for theBenchmark
% 0.12/0.42 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------