%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS172+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 : 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 08:46:48 PM UTC 2025
% Result : Theorem 34.05s 4.60s
% Output : CNFRefutation 34.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of formulae : 86 ( 9 unt; 0 def)
% Number of atoms : 218 ( 17 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 238 ( 106 ~; 108 |; 11 &)
% ( 7 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 50 ( 4 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,plain,
( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X,Y] :
( rq(X,Y)
<=> rp(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(the_axiom_negated,plain,
~ ( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X,Y] :
( rq(X,Y)
<=> rp(X,Y) ) ),
inference(negate_conjecture,[status(cth)],[the_axiom]) ).
cnf(22,plain,
( ~ cowlThing(sK1)
| ~ xsd_integer(sK2)
| cowlNothing(sK1)
| xsd_string(sK2)
| sP0 ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l0,plain,
( ~ cowlThing(sK1)
| ~ xsd_integer(sK2)
| cowlNothing(sK1)
| xsd_string(sK2)
| sP0 ),
inference(instantiation,[status(thm)],[22]) ).
fof(axiom_0,plain,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
cnf(9,plain,
cowlThing(X0),
inference(cnf,[status(esa)],[axiom_0]) ).
cnf(l2,plain,
cowlThing(sK1),
inference(instantiation,[status(thm)],[9]) ).
cnf(23,plain,
( ~ cowlThing(sK1)
| ~ xsd_string(sK2)
| cowlNothing(sK1)
| xsd_integer(sK2)
| sP0 ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l41,plain,
( ~ cowlThing(sK1)
| ~ xsd_string(sK2)
| cowlNothing(sK1)
| xsd_integer(sK2)
| sP0 ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l150,plain,
cowlThing(sK1),
inference(instantiation,[status(thm)],[9]) ).
cnf(10,plain,
~ cowlNothing(X0),
inference(cnf,[status(esa)],[axiom_0]) ).
cnf(l426,plain,
~ cowlNothing(sK1),
inference(instantiation,[status(thm)],[10]) ).
cnf(24,plain,
( ~ rp(sK3,sK4)
| ~ rq(sK3,sK4)
| ~ sP0 ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l3,plain,
( ~ rp(sK3,sK4)
| ~ rq(sK3,sK4)
| ~ sP0 ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l1,plain,
( ~ cowlThing(sK1)
| ~ xsd_string(sK2)
| cowlNothing(sK1)
| xsd_integer(sK2)
| sP0 ),
inference(instantiation,[status(thm)],[23]) ).
cnf(25,plain,
( rp(sK3,sK4)
| rq(sK3,sK4)
| ~ sP0 ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l851,plain,
( rp(sK3,sK4)
| rq(sK3,sK4)
| ~ sP0 ),
inference(instantiation,[status(thm)],[25]) ).
cnf(l7,plain,
~ cowlNothing(sK1),
inference(instantiation,[status(thm)],[10]) ).
fof(axiom_6,plain,
! [X,Y,Z] :
( ( rq(X,Y)
& rq(X,Z) )
=> Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
cnf(19,plain,
( ~ rq(X0,X1)
| ~ rq(X0,X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[axiom_6]) ).
cnf(l894,plain,
( ~ rq(sK3,iv)
| ~ rq(sK3,sK4)
| iv = sK4 ),
inference(instantiation,[status(thm)],[19]) ).
fof(axiom_1,plain,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
cnf(12,plain,
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf,[status(esa)],[axiom_1]) ).
cnf(l421,plain,
( xsd_string(sK2)
| xsd_integer(sK2) ),
inference(instantiation,[status(thm)],[12]) ).
fof(axiom_2,plain,
! [X] :
( cd(X)
<=> rq(X,iv) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(13,plain,
( ~ cd(X0)
| rq(X0,iv) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l18,plain,
( ~ cd(sK3)
| rq(sK3,iv) ),
inference(instantiation,[status(thm)],[13]) ).
fof(axiom_4,plain,
! [X,Y,Z] :
( ( rp(X,Y)
& rp(X,Z) )
=> Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
cnf(17,plain,
( ~ rp(X0,X1)
| ~ rp(X0,X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l9,plain,
( ~ rp(sK3,iv)
| ~ rp(sK3,sK4)
| iv = sK4 ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l847,plain,
~ cowlNothing(sK1),
inference(instantiation,[status(thm)],[10]) ).
fof(rp_substitution_2,plain,
! [A,B,C] :
( ( A = B
& rp(C,A) )
=> rp(C,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rp_substitution_2) ).
cnf(4,plain,
( X0 != X1
| ~ rp(X2,X0)
| rp(X2,X1) ),
inference(cnf,[status(esa)],[rp_substitution_2]) ).
cnf(l951,plain,
( iv != sK4
| ~ rp(sK3,iv)
| rp(sK3,sK4) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l13,plain,
( rp(sK3,sK4)
| rq(sK3,sK4)
| ~ sP0 ),
inference(instantiation,[status(thm)],[25]) ).
cnf(11,plain,
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf,[status(esa)],[axiom_1]) ).
cnf(l1309,plain,
( ~ xsd_string(sK2)
| ~ xsd_integer(sK2) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l1596,plain,
( ~ rp(sK3,sK4)
| ~ rq(sK3,sK4)
| ~ sP0 ),
inference(instantiation,[status(thm)],[24]) ).
fof(axiom_5,plain,
! [X,Y] :
( rp(X,Y)
=> cd(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
cnf(18,plain,
( ~ rp(X0,X1)
| cd(X0) ),
inference(cnf,[status(esa)],[axiom_5]) ).
cnf(l25,plain,
( ~ rp(sK3,sK4)
| cd(sK3) ),
inference(instantiation,[status(thm)],[18]) ).
fof(axiom_3,plain,
! [X] :
( cd(X)
<=> rp(X,iv) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
cnf(15,plain,
( ~ cd(X0)
| rp(X0,iv) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l37,plain,
( ~ cd(sK3)
| rp(sK3,iv) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l1601,plain,
( ~ cd(sK3)
| rp(sK3,iv) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l1301,plain,
( rp(sK3,sK4)
| rq(sK3,sK4)
| ~ sP0 ),
inference(instantiation,[status(thm)],[25]) ).
cnf(l59,plain,
( ~ rp(sK3,sK4)
| cd(sK3) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l34,plain,
( rp(sK3,sK4)
| rq(sK3,sK4)
| ~ sP0 ),
inference(instantiation,[status(thm)],[25]) ).
cnf(l4,plain,
cowlThing(sK1),
inference(instantiation,[status(thm)],[9]) ).
cnf(l12,plain,
( ~ rq(sK3,iv)
| ~ rq(sK3,sK4)
| iv = sK4 ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l15,plain,
( ~ cd(sK3)
| rq(sK3,iv) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l1302,plain,
( ~ rq(sK3,iv)
| ~ rq(sK3,sK4)
| iv = sK4 ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l903,plain,
( ~ rp(sK3,iv)
| ~ rp(sK3,sK4)
| iv = sK4 ),
inference(instantiation,[status(thm)],[17]) ).
fof(axiom_7,plain,
! [X,Y] :
( rq(X,Y)
=> cd(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
cnf(20,plain,
( ~ rq(X0,X1)
| cd(X0) ),
inference(cnf,[status(esa)],[axiom_7]) ).
cnf(l1793,plain,
( ~ rq(sK3,sK4)
| cd(sK3) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(l80,plain,
( rp(sK3,sK4)
| rq(sK3,sK4)
| ~ sP0 ),
inference(instantiation,[status(thm)],[25]) ).
cnf(l75,plain,
( rp(sK3,sK4)
| rq(sK3,sK4)
| ~ sP0 ),
inference(instantiation,[status(thm)],[25]) ).
cnf(l1310,plain,
( ~ rp(sK3,iv)
| ~ rp(sK3,sK4)
| iv = sK4 ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l1354,plain,
( ~ cd(sK3)
| rq(sK3,iv) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l901,plain,
( ~ cd(sK3)
| rq(sK3,iv) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l913,plain,
( ~ cd(sK3)
| rp(sK3,iv) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l909,plain,
( ~ rq(sK3,sK4)
| cd(sK3) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(l168,plain,
( ~ cd(sK3)
| rp(sK3,iv) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l1311,plain,
( ~ cd(sK3)
| rp(sK3,iv) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l1357,plain,
( ~ rq(sK3,sK4)
| cd(sK3) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(l2265,plain,
( ~ rp(sK3,sK4)
| ~ rq(sK3,sK4)
| ~ sP0 ),
inference(instantiation,[status(thm)],[24]) ).
fof(rq_substitution_2,plain,
! [A,B,C] :
( ( A = B
& rq(C,A) )
=> rq(C,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rq_substitution_2) ).
cnf(6,plain,
( X0 != X1
| ~ rq(X2,X0)
| rq(X2,X1) ),
inference(cnf,[status(esa)],[rq_substitution_2]) ).
cnf(l1331,plain,
( iv != sK4
| ~ rq(sK3,iv)
| rq(sK3,sK4) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l1029,plain,
( ~ rp(sK3,sK4)
| cd(sK3) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l50,plain,
( ~ rq(sK3,sK4)
| cd(sK3) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(l1320,plain,
( ~ cd(sK3)
| rp(sK3,iv) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l1345,plain,
( ~ rp(sK3,sK4)
| cd(sK3) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l67,plain,
( rp(sK3,sK4)
| rq(sK3,sK4)
| ~ sP0 ),
inference(instantiation,[status(thm)],[25]) ).
cnf(l1339,plain,
( ~ cd(sK3)
| rq(sK3,iv) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l176,plain,
( ~ rq(sK3,sK4)
| cd(sK3) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(l1554,plain,
( ~ rq(sK3,sK4)
| cd(sK3) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(l1982,plain,
( ~ rp(sK3,sK4)
| cd(sK3) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l1847,plain,
( ~ rp(sK3,sK4)
| ~ rq(sK3,sK4)
| ~ sP0 ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l194,plain,
( rp(sK3,sK4)
| rq(sK3,sK4)
| ~ sP0 ),
inference(instantiation,[status(thm)],[25]) ).
cnf(l1346,plain,
( iv != sK4
| ~ rq(sK3,iv)
| rq(sK3,sK4) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l1349,plain,
( ~ rp(sK3,sK4)
| ~ rq(sK3,sK4)
| ~ sP0 ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l1347,plain,
( ~ cd(sK3)
| rq(sK3,iv) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l1348,plain,
( ~ rp(sK3,sK4)
| cd(sK3) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l41,l150,l426,l3,l1,l851,l7,l894,l421,l18,l9,l847,l951,l13,l1309,l1596,l25,l37,l1601,l1301,l59,l34,l4,l12,l15,l1302,l903,l1793,l80,l75,l1310,l1354,l901,l913,l909,l168,l1311,l1357,l2265,l1331,l1029,l50,l1320,l1345,l67,l1339,l176,l1554,l1982,l1847,l194,l1346,l1349,l1347,l1348]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS172+1 : TPTP v9.0.0. Released v3.1.0.
% 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/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 22:17:34 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 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: 3
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.12/0.35 % launching worker at depth: 11
% 0.19/0.46 % launching worker at depth: 12
% 6.07/1.14 % launching worker at depth: 13
% 34.05/4.60 % SZS status Theorem for theBenchmark
% 34.05/4.60 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------