%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS072+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 : 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 08:46:36 PM UTC 2025
% Result : Unsatisfiable 0.18s 0.39s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 4 unt; 0 def)
% Number of atoms : 51 ( 3 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 51 ( 21 ~; 21 |; 5 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 18 ( 0 sgn 6 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_8,plain,
cUnsatisfiable(i2003_11_14_17_18_50190),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
cnf(38,plain,
cUnsatisfiable(i2003_11_14_17_18_50190),
inference(cnf,[status(esa)],[axiom_8]) ).
cnf(l0,plain,
cUnsatisfiable(i2003_11_14_17_18_50190),
inference(instantiation,[status(thm)],[38]) ).
fof(axiom_2,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rinvR(X,Y)
& ! [Z0,Z1] :
( ( rr(Y,Z0)
& rr(Y,Z1) )
=> Z0 = Z1 )
& ? [Z] :
( rr(Y,Z)
& cp1(Z) ) )
& cp2(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
cnf(21,plain,
( ~ cUnsatisfiable(X0)
| cp1(sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l1,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_50190)
| cp1(sK2(i2003_11_14_17_18_50190)) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(19,plain,
( ~ cUnsatisfiable(X0)
| ~ rr(sK1(X0),X1)
| ~ rr(sK1(X0),X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l74,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_50190)
| ~ rr(sK1(i2003_11_14_17_18_50190),sK2(i2003_11_14_17_18_50190))
| ~ rr(sK1(i2003_11_14_17_18_50190),i2003_11_14_17_18_50190)
| sK2(i2003_11_14_17_18_50190) = i2003_11_14_17_18_50190 ),
inference(instantiation,[status(thm)],[19]) ).
cnf(20,plain,
( ~ cUnsatisfiable(X0)
| rr(sK1(X0),sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l121,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_50190)
| rr(sK1(i2003_11_14_17_18_50190),sK2(i2003_11_14_17_18_50190)) ),
inference(instantiation,[status(thm)],[20]) ).
fof(axiom_7,plain,
! [X,Y] :
( rinvR(X,Y)
<=> rr(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
cnf(36,plain,
( ~ rinvR(X0,X1)
| rr(X1,X0) ),
inference(cnf,[status(esa)],[axiom_7]) ).
cnf(l116,plain,
( ~ rinvR(i2003_11_14_17_18_50190,sK1(i2003_11_14_17_18_50190))
| rr(sK1(i2003_11_14_17_18_50190),i2003_11_14_17_18_50190) ),
inference(instantiation,[status(thm)],[36]) ).
fof(axiom_3,plain,
! [X] :
( cp1(X)
=> ~ ( cp3(X)
| cp2(X)
| cp4(X)
| cp5(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
cnf(27,plain,
( ~ cp1(X0)
| ~ cp2(X0) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l129,plain,
( ~ cp1(i2003_11_14_17_18_50190)
| ~ cp2(i2003_11_14_17_18_50190) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(18,plain,
( ~ cUnsatisfiable(X0)
| rinvR(X0,sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l124,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_50190)
| rinvR(i2003_11_14_17_18_50190,sK1(i2003_11_14_17_18_50190)) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(22,plain,
( ~ cUnsatisfiable(X0)
| cp2(X0) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l148,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_50190)
| cp2(i2003_11_14_17_18_50190) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l74,l121,l116,l129,l124,l148]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS072+1 : TPTP v9.0.0. Released v3.1.0.
% 0.03/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/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 22:10:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 1
% 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: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.18/0.37 % launching worker at depth: 11
% 0.18/0.39 % SZS status Theorem for theBenchmark
% 0.18/0.39 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------