%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS071+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 : n022.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 3.10s 0.72s
% Output : CNFRefutation 3.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 4 unt; 0 def)
% Number of atoms : 91 ( 12 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 99 ( 41 ~; 44 |; 9 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 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; 0-1 aty)
% Number of variables : 26 ( 0 sgn 8 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_8,plain,
cUnsatisfiable(i2003_11_14_17_18_39380),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
cnf(43,plain,
cUnsatisfiable(i2003_11_14_17_18_39380),
inference(cnf,[status(esa)],[axiom_8]) ).
cnf(l0,plain,
cUnsatisfiable(i2003_11_14_17_18_39380),
inference(instantiation,[status(thm)],[43]) ).
fof(axiom_2,plain,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rr(X,Y)
& cp1(Y) )
& ? [Y] :
( rr(X,Y)
& cp2(Y) )
& ? [Y] :
( rr(X,Y)
& cp3(Y) )
& ! [Y0,Y1,Y2] :
( ( rr(X,Y0)
& rr(X,Y1)
& rr(X,Y2) )
=> ( Y0 = Y1
| Y0 = Y2
| Y1 = Y2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(24,plain,
( ~ cUnsatisfiable(X0)
| ~ rr(X0,X1)
| ~ rr(X0,X2)
| ~ rr(X0,X3)
| X1 = X2
| X1 = X3
| X2 = X3 ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l1,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_39380)
| ~ rr(i2003_11_14_17_18_39380,sK2(i2003_11_14_17_18_39380))
| ~ rr(i2003_11_14_17_18_39380,sK3(i2003_11_14_17_18_39380))
| ~ rr(i2003_11_14_17_18_39380,sK1(i2003_11_14_17_18_39380))
| sK2(i2003_11_14_17_18_39380) = sK3(i2003_11_14_17_18_39380)
| sK2(i2003_11_14_17_18_39380) = sK1(i2003_11_14_17_18_39380)
| sK3(i2003_11_14_17_18_39380) = sK1(i2003_11_14_17_18_39380) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(22,plain,
( ~ cUnsatisfiable(X0)
| rr(X0,sK3(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l4,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_39380)
| rr(i2003_11_14_17_18_39380,sK3(i2003_11_14_17_18_39380)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(18,plain,
( ~ cUnsatisfiable(X0)
| rr(X0,sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l152,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_39380)
| rr(i2003_11_14_17_18_39380,sK1(i2003_11_14_17_18_39380)) ),
inference(instantiation,[status(thm)],[18]) ).
fof(axiom_3,plain,
! [X] :
( cp1(X)
=> ~ ( cp4(X)
| cp2(X)
| cp3(X)
| cp5(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
cnf(33,plain,
( ~ cp1(X0)
| ~ cp3(X0) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l158,plain,
( ~ cp1(sK1(i2003_11_14_17_18_39380))
| ~ cp3(sK1(i2003_11_14_17_18_39380)) ),
inference(instantiation,[status(thm)],[33]) ).
cnf(19,plain,
( ~ cUnsatisfiable(X0)
| cp1(sK1(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l208,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_39380)
| cp1(sK1(i2003_11_14_17_18_39380)) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(23,plain,
( ~ cUnsatisfiable(X0)
| cp3(sK3(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l159,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_39380)
| cp3(sK3(i2003_11_14_17_18_39380)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(20,plain,
( ~ cUnsatisfiable(X0)
| rr(X0,sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l66,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_39380)
| rr(i2003_11_14_17_18_39380,sK2(i2003_11_14_17_18_39380)) ),
inference(instantiation,[status(thm)],[20]) ).
fof(cp2_substitution_1,plain,
! [A,B] :
( ( A = B
& cp2(A) )
=> cp2(B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp2_substitution_1) ).
cnf(4,plain,
( X0 != X1
| ~ cp2(X0)
| cp2(X1) ),
inference(cnf,[status(esa)],[cp2_substitution_1]) ).
cnf(l170,plain,
( sK2(i2003_11_14_17_18_39380) != sK3(i2003_11_14_17_18_39380)
| ~ cp2(sK2(i2003_11_14_17_18_39380))
| cp2(sK3(i2003_11_14_17_18_39380)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(21,plain,
( ~ cUnsatisfiable(X0)
| cp2(sK2(X0)) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l179,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_39380)
| cp2(sK2(i2003_11_14_17_18_39380)) ),
inference(instantiation,[status(thm)],[21]) ).
fof(axiom_4,plain,
! [X] :
( cp2(X)
=> ~ ( cp4(X)
| cp3(X)
| cp5(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
cnf(36,plain,
( ~ cp2(X0)
| ~ cp3(X0) ),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l182,plain,
( ~ cp2(sK3(i2003_11_14_17_18_39380))
| ~ cp3(sK3(i2003_11_14_17_18_39380)) ),
inference(instantiation,[status(thm)],[36]) ).
cnf(32,plain,
( ~ cp1(X0)
| ~ cp2(X0) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l169,plain,
( ~ cp1(sK1(i2003_11_14_17_18_39380))
| ~ cp2(sK1(i2003_11_14_17_18_39380)) ),
inference(instantiation,[status(thm)],[32]) ).
cnf(l184,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_39380)
| cp1(sK1(i2003_11_14_17_18_39380)) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l163,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_39380)
| cp2(sK2(i2003_11_14_17_18_39380)) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l190,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_39380)
| cp3(sK3(i2003_11_14_17_18_39380)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l152,l158,l208,l159,l66,l170,l179,l182,l169,l184,l163,l190]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : KRS071+1 : TPTP v9.0.0. Released v3.1.0.
% 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n022.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: 6
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.18/0.45 % launching worker at depth: 11
% 3.10/0.72 % SZS status Theorem for theBenchmark
% 3.10/0.72 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------