%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS108+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 08:46:40 PM UTC 2025
% Result : Unsatisfiable 7.09s 1.29s
% Output : CNFRefutation 7.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of formulae : 42 ( 8 unt; 0 def)
% Number of atoms : 89 ( 3 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 80 ( 33 ~; 31 |; 8 &)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 30 ( 1 sgn 10 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_6,plain,
! [X] :
( cp2xcomp(X)
<=> ~ ? [Y] : ra_Px5(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
cnf(52,plain,
( cp2xcomp(X0)
| ra_Px5(X0,sK5(X0)) ),
inference(cnf,[status(esa)],[axiom_6]) ).
cnf(l0,plain,
( cp2xcomp(sK15(sK1(i2003_11_14_17_21_04740)))
| ra_Px5(sK15(sK1(i2003_11_14_17_21_04740)),sK5(sK15(sK1(i2003_11_14_17_21_04740)))) ),
inference(instantiation,[status(thm)],[52]) ).
cnf(51,plain,
( ~ cp2xcomp(X0)
| ~ ra_Px5(X0,X1) ),
inference(cnf,[status(esa)],[axiom_6]) ).
cnf(l1,plain,
( ~ cp2xcomp(sK15(sK1(i2003_11_14_17_21_04740)))
| ~ ra_Px5(sK15(sK1(i2003_11_14_17_21_04740)),sK3(i2003_11_14_17_21_04740)) ),
inference(instantiation,[status(thm)],[51]) ).
cnf(l57,plain,
( ~ cp2xcomp(sK15(sK1(i2003_11_14_17_21_04740)))
| ~ ra_Px5(sK15(sK1(i2003_11_14_17_21_04740)),sK5(sK15(sK1(i2003_11_14_17_21_04740)))) ),
inference(instantiation,[status(thm)],[51]) ).
fof(axiom_16,plain,
! [X] :
( ca_Cx1(X)
<=> ( cp2xcomp(X)
& cp5xcomp(X)
& cp3xcomp(X)
& cp4xcomp(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).
cnf(73,plain,
( ~ ca_Cx1(X0)
| cp2xcomp(X0) ),
inference(cnf,[status(esa)],[axiom_16]) ).
cnf(l58,plain,
( ~ ca_Cx1(sK15(sK1(i2003_11_14_17_21_04740)))
| cp2xcomp(sK15(sK1(i2003_11_14_17_21_04740))) ),
inference(instantiation,[status(thm)],[73]) ).
fof(axiom_3,plain,
! [X] :
( cp1(X)
=> ca_Cx1(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
cnf(47,plain,
( ~ cp1(X0)
| ca_Cx1(X0) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l61,plain,
( ~ cp1(sK15(sK1(i2003_11_14_17_21_04740)))
| ca_Cx1(sK15(sK1(i2003_11_14_17_21_04740))) ),
inference(instantiation,[status(thm)],[47]) ).
fof(axiom_15,plain,
! [X] :
( ca_Ax14(X)
<=> ( ? [Y] :
( rr(X,Y)
& cp1(Y) )
& ! [Y0,Y1] :
( ( rr(X,Y0)
& rr(X,Y1) )
=> Y0 = Y1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
cnf(68,plain,
( ~ ca_Ax14(X0)
| cp1(sK15(X0)) ),
inference(cnf,[status(esa)],[axiom_15]) ).
cnf(l63,plain,
( ~ ca_Ax14(sK1(i2003_11_14_17_21_04740))
| cp1(sK15(sK1(i2003_11_14_17_21_04740))) ),
inference(instantiation,[status(thm)],[68]) ).
cnf(69,plain,
( ~ ca_Ax14(X0)
| ~ rr(X0,X1)
| ~ rr(X0,X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[axiom_15]) ).
cnf(l179,plain,
( ~ ca_Ax14(sK1(i2003_11_14_17_21_04740))
| ~ rr(sK1(i2003_11_14_17_21_04740),i2003_11_14_17_21_04740)
| ~ rr(sK1(i2003_11_14_17_21_04740),sK15(sK1(i2003_11_14_17_21_04740)))
| i2003_11_14_17_21_04740 = sK15(sK1(i2003_11_14_17_21_04740)) ),
inference(instantiation,[status(thm)],[69]) ).
fof(axiom_4,plain,
! [X] :
( cp2(X)
<=> ? [Y0] : ra_Px5(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
cnf(48,plain,
( ~ cp2(X0)
| ra_Px5(X0,sK3(X0)) ),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l948,plain,
( ~ cp2(i2003_11_14_17_21_04740)
| ra_Px5(i2003_11_14_17_21_04740,sK3(i2003_11_14_17_21_04740)) ),
inference(instantiation,[status(thm)],[48]) ).
fof(axiom_2,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rinvR(X,Y)
& ca_Ax14(Y) )
& cp2(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(44,plain,
( ~ cUnsatisfiable(X0)
| ca_Ax14(sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l69,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_04740)
| ca_Ax14(sK1(i2003_11_14_17_21_04740)) ),
inference(instantiation,[status(thm)],[44]) ).
fof(axiom_26,plain,
cUnsatisfiable(i2003_11_14_17_21_04740),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).
cnf(99,plain,
cUnsatisfiable(i2003_11_14_17_21_04740),
inference(cnf,[status(esa)],[axiom_26]) ).
cnf(l71,plain,
cUnsatisfiable(i2003_11_14_17_21_04740),
inference(instantiation,[status(thm)],[99]) ).
cnf(l180,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_04740)
| ca_Ax14(sK1(i2003_11_14_17_21_04740)) ),
inference(instantiation,[status(thm)],[44]) ).
fof(axiom_25,plain,
! [X,Y] :
( rinvR(X,Y)
<=> rr(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).
cnf(97,plain,
( ~ rinvR(X0,X1)
| rr(X1,X0) ),
inference(cnf,[status(esa)],[axiom_25]) ).
cnf(l367,plain,
( ~ rinvR(i2003_11_14_17_21_04740,sK1(i2003_11_14_17_21_04740))
| rr(sK1(i2003_11_14_17_21_04740),i2003_11_14_17_21_04740) ),
inference(instantiation,[status(thm)],[97]) ).
cnf(67,plain,
( ~ ca_Ax14(X0)
| rr(X0,sK15(X0)) ),
inference(cnf,[status(esa)],[axiom_15]) ).
cnf(l974,plain,
( ~ ca_Ax14(sK1(i2003_11_14_17_21_04740))
| rr(sK1(i2003_11_14_17_21_04740),sK15(sK1(i2003_11_14_17_21_04740))) ),
inference(instantiation,[status(thm)],[67]) ).
cnf(43,plain,
( ~ cUnsatisfiable(X0)
| rinvR(X0,sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l395,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_04740)
| rinvR(i2003_11_14_17_21_04740,sK1(i2003_11_14_17_21_04740)) ),
inference(instantiation,[status(thm)],[43]) ).
cnf(l975,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_04740)
| ca_Ax14(sK1(i2003_11_14_17_21_04740)) ),
inference(instantiation,[status(thm)],[44]) ).
cnf(l371,plain,
cUnsatisfiable(i2003_11_14_17_21_04740),
inference(instantiation,[status(thm)],[99]) ).
cnf(l978,plain,
cUnsatisfiable(i2003_11_14_17_21_04740),
inference(instantiation,[status(thm)],[99]) ).
cnf(45,plain,
( ~ cUnsatisfiable(X0)
| cp2(X0) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l951,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_04740)
| cp2(i2003_11_14_17_21_04740) ),
inference(instantiation,[status(thm)],[45]) ).
cnf(l446,plain,
cUnsatisfiable(i2003_11_14_17_21_04740),
inference(instantiation,[status(thm)],[99]) ).
cnf(l952,plain,
cUnsatisfiable(i2003_11_14_17_21_04740),
inference(instantiation,[status(thm)],[99]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l57,l58,l61,l63,l179,l948,l69,l71,l180,l367,l974,l395,l975,l371,l978,l951,l446,l952]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS108+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 : n024.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 22:12:34 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 9
% 0.12/0.36 % launching worker at depth: 10
% 0.20/0.41 % launching worker at depth: 11
% 0.20/0.51 % launching worker at depth: 12
% 7.09/1.29 % SZS status Theorem for theBenchmark
% 7.09/1.29 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------