%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : KRS174+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 : n025.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 5.30s 1.04s
% Output : CNFRefutation 5.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 73 ( 9 unt; 0 def)
% Number of atoms : 190 ( 38 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 216 ( 99 ~; 102 |; 7 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 22 ( 2 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,plain,
( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( cA_and_B(X)
<=> ( cB(X)
| cA(X) ) ) ),
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] :
( cA_and_B(X)
<=> ( cB(X)
| cA(X) ) ) ),
inference(negate_conjecture,[status(cth)],[the_axiom]) ).
cnf(20,plain,
( ~ cowlThing(sK1)
| ~ xsd_integer(sK2)
| sP0
| cowlNothing(sK1)
| xsd_string(sK2) ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l0,plain,
( ~ cowlThing(sK1)
| ~ xsd_integer(sK2)
| sP0
| cowlNothing(sK1)
| xsd_string(sK2) ),
inference(instantiation,[status(thm)],[20]) ).
fof(axiom_0,plain,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
cnf(8,plain,
~ cowlNothing(X0),
inference(cnf,[status(esa)],[axiom_0]) ).
cnf(l6,plain,
~ cowlNothing(sK1),
inference(instantiation,[status(thm)],[8]) ).
cnf(7,plain,
cowlThing(X0),
inference(cnf,[status(esa)],[axiom_0]) ).
cnf(l2,plain,
cowlThing(sK1),
inference(instantiation,[status(thm)],[7]) ).
cnf(21,plain,
( ~ cowlThing(sK1)
| ~ xsd_string(sK2)
| sP0
| cowlNothing(sK1)
| xsd_integer(sK2) ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l1,plain,
( ~ cowlThing(sK1)
| ~ xsd_string(sK2)
| sP0
| cowlNothing(sK1)
| xsd_integer(sK2) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l434,plain,
~ cowlNothing(sK1),
inference(instantiation,[status(thm)],[8]) ).
cnf(23,plain,
( ~ cA_and_B(sK3)
| ~ cB(sK3)
| ~ sP0 ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l7,plain,
( ~ cA_and_B(sK3)
| ~ cB(sK3)
| ~ sP0 ),
inference(instantiation,[status(thm)],[23]) ).
fof(axiom_1,plain,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
cnf(10,plain,
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf,[status(esa)],[axiom_1]) ).
cnf(l4,plain,
( xsd_integer(sK2)
| xsd_string(sK2) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(24,plain,
( cA_and_B(sK3)
| cA(sK3)
| cB(sK3)
| ~ sP0 ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l14,plain,
( cA_and_B(sK3)
| cA(sK3)
| cB(sK3)
| ~ sP0 ),
inference(instantiation,[status(thm)],[24]) ).
fof(axiom_3,plain,
! [X] :
( cA_and_B(X)
<=> ( X = ib
| X = ia ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
cnf(13,plain,
( ~ cA_and_B(X0)
| X0 = ia
| X0 = ib ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l44,plain,
( ~ cA_and_B(sK3)
| sK3 = ia
| sK3 = ib ),
inference(instantiation,[status(thm)],[13]) ).
fof(axiom_4,plain,
! [X] :
( cB(X)
<=> X = ib ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
cnf(17,plain,
( X0 != ib
| cB(X0) ),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l111,plain,
( sK3 != ib
| cB(sK3) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(22,plain,
( ~ cA_and_B(sK3)
| ~ cA(sK3)
| ~ sP0 ),
inference(cnf,[status(esa)],[the_axiom_negated]) ).
cnf(l105,plain,
( ~ cA_and_B(sK3)
| ~ cA(sK3)
| ~ sP0 ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l432,plain,
( cA_and_B(sK3)
| cA(sK3)
| cB(sK3)
| ~ sP0 ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l219,plain,
cowlThing(sK1),
inference(instantiation,[status(thm)],[7]) ).
cnf(l3,plain,
( ~ cowlThing(sK1)
| ~ xsd_string(sK2)
| sP0
| cowlNothing(sK1)
| xsd_integer(sK2) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l40,plain,
~ cowlNothing(sK1),
inference(instantiation,[status(thm)],[8]) ).
cnf(l437,plain,
( ~ cA_and_B(sK3)
| ~ cA(sK3)
| ~ sP0 ),
inference(instantiation,[status(thm)],[22]) ).
fof(axiom_2,plain,
! [X] :
( cA(X)
<=> X = ia ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(12,plain,
( X0 != ia
| cA(X0) ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l165,plain,
( sK3 != ia
| cA(sK3) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l10,plain,
cowlThing(sK1),
inference(instantiation,[status(thm)],[7]) ).
cnf(l433,plain,
( ~ cA_and_B(sK3)
| sK3 = ia
| sK3 = ib ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l33,plain,
( cA_and_B(sK3)
| cA(sK3)
| cB(sK3)
| ~ sP0 ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l469,plain,
( sK3 != ib
| cB(sK3) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(16,plain,
( ~ cB(X0)
| X0 = ib ),
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l442,plain,
( ~ cB(sK3)
| sK3 = ib ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l441,plain,
( sK3 != ia
| cA(sK3) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(15,plain,
( X0 != ia
| cA_and_B(X0) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l472,plain,
( sK3 != ia
| cA_and_B(sK3) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l479,plain,
( ~ cA_and_B(sK3)
| ~ cA(sK3)
| ~ sP0 ),
inference(instantiation,[status(thm)],[22]) ).
cnf(11,plain,
( ~ cA(X0)
| X0 = ia ),
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l37,plain,
( ~ cA(sK3)
| sK3 = ia ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l181,plain,
( sK3 != ia
| cA_and_B(sK3) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(9,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf,[status(esa)],[axiom_1]) ).
cnf(l5,plain,
( ~ xsd_integer(sK2)
| ~ xsd_string(sK2) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l182,plain,
( ~ cA(sK3)
| sK3 = ia ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l8,plain,
( cA_and_B(sK3)
| cA(sK3)
| cB(sK3)
| ~ sP0 ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l21,plain,
( ~ cA(sK3)
| sK3 = ia ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l178,plain,
( ~ cA_and_B(sK3)
| ~ cA(sK3)
| ~ sP0 ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l27,plain,
( ~ cA_and_B(sK3)
| sK3 = ia
| sK3 = ib ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l99,plain,
( sK3 != ia
| cA_and_B(sK3) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(14,plain,
( X0 != ib
| cA_and_B(X0) ),
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l507,plain,
( sK3 != ib
| cA_and_B(sK3) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l477,plain,
( ~ cA(sK3)
| sK3 = ia ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l503,plain,
( ~ cA_and_B(sK3)
| ~ cB(sK3)
| ~ sP0 ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l509,plain,
( ~ cA_and_B(sK3)
| ~ cB(sK3)
| ~ sP0 ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l97,plain,
( ~ cB(sK3)
| sK3 = ib ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l60,plain,
( sK3 != ia
| cA_and_B(sK3) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l244,plain,
( ~ cB(sK3)
| sK3 = ib ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l62,plain,
( ~ cA_and_B(sK3)
| ~ cA(sK3)
| ~ sP0 ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l98,plain,
( sK3 != ib
| cA_and_B(sK3) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l149,plain,
( sK3 != ib
| cB(sK3) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l31,plain,
( sK3 != ia
| cA(sK3) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l158,plain,
( ~ cA_and_B(sK3)
| ~ cB(sK3)
| ~ sP0 ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l154,plain,
( ~ cA_and_B(sK3)
| ~ cA(sK3)
| ~ sP0 ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l307,plain,
( sK3 != ib
| cA_and_B(sK3) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l478,plain,
( ~ cA_and_B(sK3)
| ~ cB(sK3)
| ~ sP0 ),
inference(instantiation,[status(thm)],[23]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l6,l2,l1,l434,l7,l4,l14,l44,l111,l105,l432,l219,l3,l40,l437,l165,l10,l433,l33,l469,l442,l441,l472,l479,l37,l181,l5,l182,l8,l21,l178,l27,l99,l507,l477,l503,l509,l97,l60,l244,l62,l98,l149,l31,l158,l154,l307,l478]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS174+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
% 0.13/0.34 % Computer : n025.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 22:17:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.36 % launching worker at depth: 9
% 0.13/0.36 % launching worker at depth: 10
% 0.13/0.40 % launching worker at depth: 11
% 0.19/0.49 % launching worker at depth: 12
% 5.30/1.04 % SZS status Theorem for theBenchmark
% 5.30/1.04 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------