%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS113+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 : n021.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 08:46:41 PM UTC 2025
% Result : Unsatisfiable 68.64s 8.98s
% Output : CNFRefutation 68.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 4 unt; 0 def)
% Number of atoms : 81 ( 6 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 81 ( 34 ~; 31 |; 7 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 35 ( 1 sgn 13 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_7,plain,
cUnsatisfiable(i2003_11_14_17_21_22376),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
cnf(38,plain,
cUnsatisfiable(i2003_11_14_17_21_22376),
inference(cnf,[status(esa)],[axiom_7]) ).
cnf(l0,plain,
cUnsatisfiable(i2003_11_14_17_21_22376),
inference(instantiation,[status(thm)],[38]) ).
fof(axiom_2,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ! [Y0,Y1] :
( ( rr(X,Y0)
& rr(X,Y1) )
=> Y0 = Y1 )
& ? [Y] :
( rr(X,Y)
& ca_Vx2(Y) )
& ? [Y] :
( rs(X,Y)
& cp(Y) )
& cpxcomp(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(20,plain,
( ~ cUnsatisfiable(X0)
| ~ rr(X0,X1)
| ~ rr(X0,X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l1,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_22376)
| ~ rr(i2003_11_14_17_21_22376,sK1(i2003_11_14_17_21_22376))
| ~ rr(i2003_11_14_17_21_22376,sK2(i2003_11_14_17_21_22376))
| sK1(i2003_11_14_17_21_22376) = sK2(i2003_11_14_17_21_22376) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(21,plain,
( ~ cUnsatisfiable(X0)
| rr(X0,sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l187,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_22376)
| rr(i2003_11_14_17_21_22376,sK1(i2003_11_14_17_21_22376)) ),
inference(instantiation,[status(thm)],[21]) ).
fof(axiom_5,plain,
! [X] :
( ca_Vx2(X)
<=> ! [Y] :
( rinvS(X,Y)
=> cp(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
cnf(33,plain,
( ~ ca_Vx2(X0)
| ~ rinvS(X0,X1)
| cp(X1) ),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l4622,plain,
( ~ ca_Vx2(sK2(i2003_11_14_17_21_22376))
| ~ rinvS(sK2(i2003_11_14_17_21_22376),i2003_11_14_17_21_22376)
| cp(i2003_11_14_17_21_22376) ),
inference(instantiation,[status(thm)],[33]) ).
fof(ca_Vx2_substitution_1,plain,
! [A,B] :
( ( A = B
& ca_Vx2(A) )
=> ca_Vx2(B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ca_Vx2_substitution_1) ).
cnf(1,plain,
( X0 != X1
| ~ ca_Vx2(X0)
| ca_Vx2(X1) ),
inference(cnf,[status(esa)],[ca_Vx2_substitution_1]) ).
cnf(l4631,plain,
( sK1(i2003_11_14_17_21_22376) != sK2(i2003_11_14_17_21_22376)
| ~ ca_Vx2(sK1(i2003_11_14_17_21_22376))
| ca_Vx2(sK2(i2003_11_14_17_21_22376)) ),
inference(instantiation,[status(thm)],[1]) ).
fof(axiom_8,plain,
! [X,Y] :
( rs(X,Y)
=> rr(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
cnf(39,plain,
( ~ rs(X0,X1)
| rr(X0,X1) ),
inference(cnf,[status(esa)],[axiom_8]) ).
cnf(l3,plain,
( ~ rs(i2003_11_14_17_21_22376,sK2(i2003_11_14_17_21_22376))
| rr(i2003_11_14_17_21_22376,sK2(i2003_11_14_17_21_22376)) ),
inference(instantiation,[status(thm)],[39]) ).
cnf(22,plain,
( ~ cUnsatisfiable(X0)
| ca_Vx2(sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l4633,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_22376)
| ca_Vx2(sK1(i2003_11_14_17_21_22376)) ),
inference(instantiation,[status(thm)],[22]) ).
fof(axiom_6,plain,
! [X,Y] :
( rinvS(X,Y)
<=> rs(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
cnf(37,plain,
( ~ rs(X0,X1)
| rinvS(X1,X0) ),
inference(cnf,[status(esa)],[axiom_6]) ).
cnf(l2658,plain,
( ~ rs(i2003_11_14_17_21_22376,sK1(i2003_11_14_17_21_22376))
| rinvS(sK1(i2003_11_14_17_21_22376),i2003_11_14_17_21_22376) ),
inference(instantiation,[status(thm)],[37]) ).
fof(axiom_3,plain,
! [X] :
( cp(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
cnf(29,plain,
( ~ cp(X0)
| ~ ra_Px1(X0,X1) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l4628,plain,
( ~ cp(i2003_11_14_17_21_22376)
| ~ ra_Px1(i2003_11_14_17_21_22376,sK8(i2003_11_14_17_21_22376)) ),
inference(instantiation,[status(thm)],[29]) ).
fof(axiom_4,plain,
! [X] :
( cpxcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
cnf(31,plain,
( ~ cpxcomp(X0)
| ra_Px1(X0,sK8(X0)) ),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l4653,plain,
( ~ cpxcomp(i2003_11_14_17_21_22376)
| ra_Px1(i2003_11_14_17_21_22376,sK8(i2003_11_14_17_21_22376)) ),
inference(instantiation,[status(thm)],[31]) ).
cnf(23,plain,
( ~ cUnsatisfiable(X0)
| rs(X0,sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l7,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_22376)
| rs(i2003_11_14_17_21_22376,sK2(i2003_11_14_17_21_22376)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(25,plain,
( ~ cUnsatisfiable(X0)
| cpxcomp(X0) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l4661,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_22376)
| cpxcomp(i2003_11_14_17_21_22376) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(l2664,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_22376)
| rs(i2003_11_14_17_21_22376,sK2(i2003_11_14_17_21_22376)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l187,l4622,l4631,l3,l4633,l2658,l4628,l4653,l7,l4661,l2664]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS113+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
% 0.13/0.34 % Computer : n021.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 22:12:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.19/0.41 % launching worker at depth: 11
% 2.35/0.63 % launching worker at depth: 12
% 14.66/2.17 % launching worker at depth: 13
% 68.64/8.98 % SZS status Theorem for theBenchmark
% 68.64/8.98 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------