TSTP Solution File: KRS162+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : KRS162+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.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 : Fri May 3 02:33:49 EDT 2024
% Result : Theorem 2.59s 1.19s
% Output : CNFRefutation 2.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 15
% Syntax : Number of formulae : 172 ( 29 unt; 0 def)
% Number of atoms : 739 ( 306 equ)
% Maximal formula atoms : 38 ( 4 avg)
% Number of connectives : 913 ( 346 ~; 387 |; 156 &)
% ( 5 <=>; 16 =>; 0 <=; 3 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-1 aty)
% Number of variables : 297 ( 24 sgn 109 !; 79 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [X3] :
( ~ cowlNothing(X3)
& cowlThing(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f14,axiom,
! [X3] :
( xsd_string(X3)
<=> ~ xsd_integer(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f15,axiom,
! [X3,X4] :
( rp(X3,X4)
=> cA(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f16,axiom,
! [X3,X4] :
( rq(X3,X4)
=> cB(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f17,axiom,
! [X3] :
~ ( cA(X3)
& cB(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f18,axiom,
! [X3,X4] :
( rq(X3,X4)
=> rr(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f19,axiom,
! [X3,X4] :
( rp(X3,X4)
=> rr(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f20,conjecture,
( ! [X3] :
( ( ? [X5,X6,X7] :
( X6 != X7
& X5 != X7
& X5 != X6
& rq(X3,X7)
& rq(X3,X6)
& rq(X3,X5) )
& ? [X5,X6] :
( X5 != X6
& rp(X3,X6)
& rp(X3,X5) ) )
=> ? [X5,X6,X7,X8,X9] :
( X8 != X9
& X7 != X9
& X7 != X8
& X6 != X9
& X6 != X8
& X6 != X7
& X5 != X9
& X5 != X8
& X5 != X7
& X5 != X6
& rr(X3,X9)
& rr(X3,X8)
& rr(X3,X7)
& rr(X3,X6)
& rr(X3,X5) ) )
& ! [X3] :
( xsd_string(X3)
<=> ~ xsd_integer(X3) )
& ! [X3] :
( ~ cowlNothing(X3)
& cowlThing(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f21,negated_conjecture,
~ ( ! [X3] :
( ( ? [X5,X6,X7] :
( X6 != X7
& X5 != X7
& X5 != X6
& rq(X3,X7)
& rq(X3,X6)
& rq(X3,X5) )
& ? [X5,X6] :
( X5 != X6
& rp(X3,X6)
& rp(X3,X5) ) )
=> ? [X5,X6,X7,X8,X9] :
( X8 != X9
& X7 != X9
& X7 != X8
& X6 != X9
& X6 != X8
& X6 != X7
& X5 != X9
& X5 != X8
& X5 != X7
& X5 != X6
& rr(X3,X9)
& rr(X3,X8)
& rr(X3,X7)
& rr(X3,X6)
& rr(X3,X5) ) )
& ! [X3] :
( xsd_string(X3)
<=> ~ xsd_integer(X3) )
& ! [X3] :
( ~ cowlNothing(X3)
& cowlThing(X3) ) ),
inference(negated_conjecture,[],[f20]) ).
fof(f22,plain,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
inference(rectify,[],[f13]) ).
fof(f23,plain,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
inference(rectify,[],[f14]) ).
fof(f24,plain,
! [X0,X1] :
( rp(X0,X1)
=> cA(X1) ),
inference(rectify,[],[f15]) ).
fof(f25,plain,
! [X0,X1] :
( rq(X0,X1)
=> cB(X1) ),
inference(rectify,[],[f16]) ).
fof(f26,plain,
! [X0] :
~ ( cA(X0)
& cB(X0) ),
inference(rectify,[],[f17]) ).
fof(f27,plain,
! [X0,X1] :
( rq(X0,X1)
=> rr(X0,X1) ),
inference(rectify,[],[f18]) ).
fof(f28,plain,
! [X0,X1] :
( rp(X0,X1)
=> rr(X0,X1) ),
inference(rectify,[],[f19]) ).
fof(f29,plain,
~ ( ! [X0] :
( ( ? [X1,X2,X3] :
( X2 != X3
& X1 != X3
& X1 != X2
& rq(X0,X3)
& rq(X0,X2)
& rq(X0,X1) )
& ? [X4,X5] :
( X4 != X5
& rp(X0,X5)
& rp(X0,X4) ) )
=> ? [X6,X7,X8,X9,X10] :
( X9 != X10
& X8 != X10
& X8 != X9
& X7 != X10
& X7 != X9
& X7 != X8
& X6 != X10
& X6 != X9
& X6 != X8
& X6 != X7
& rr(X0,X10)
& rr(X0,X9)
& rr(X0,X8)
& rr(X0,X7)
& rr(X0,X6) ) )
& ! [X11] :
( xsd_string(X11)
<=> ~ xsd_integer(X11) )
& ! [X12] :
( ~ cowlNothing(X12)
& cowlThing(X12) ) ),
inference(rectify,[],[f21]) ).
fof(f54,plain,
! [X0,X1] :
( cA(X1)
| ~ rp(X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f55,plain,
! [X0,X1] :
( cB(X1)
| ~ rq(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f56,plain,
! [X0] :
( ~ cA(X0)
| ~ cB(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f57,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rq(X0,X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f58,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rp(X0,X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f59,plain,
( ? [X0] :
( ! [X6,X7,X8,X9,X10] :
( X9 = X10
| X8 = X10
| X8 = X9
| X7 = X10
| X7 = X9
| X7 = X8
| X6 = X10
| X6 = X9
| X6 = X8
| X6 = X7
| ~ rr(X0,X10)
| ~ rr(X0,X9)
| ~ rr(X0,X8)
| ~ rr(X0,X7)
| ~ rr(X0,X6) )
& ? [X1,X2,X3] :
( X2 != X3
& X1 != X3
& X1 != X2
& rq(X0,X3)
& rq(X0,X2)
& rq(X0,X1) )
& ? [X4,X5] :
( X4 != X5
& rp(X0,X5)
& rp(X0,X4) ) )
| ? [X11] :
( xsd_string(X11)
<~> ~ xsd_integer(X11) )
| ? [X12] :
( cowlNothing(X12)
| ~ cowlThing(X12) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f60,plain,
( ? [X0] :
( ! [X6,X7,X8,X9,X10] :
( X9 = X10
| X8 = X10
| X8 = X9
| X7 = X10
| X7 = X9
| X7 = X8
| X6 = X10
| X6 = X9
| X6 = X8
| X6 = X7
| ~ rr(X0,X10)
| ~ rr(X0,X9)
| ~ rr(X0,X8)
| ~ rr(X0,X7)
| ~ rr(X0,X6) )
& ? [X1,X2,X3] :
( X2 != X3
& X1 != X3
& X1 != X2
& rq(X0,X3)
& rq(X0,X2)
& rq(X0,X1) )
& ? [X4,X5] :
( X4 != X5
& rp(X0,X5)
& rp(X0,X4) ) )
| ? [X11] :
( xsd_string(X11)
<~> ~ xsd_integer(X11) )
| ? [X12] :
( cowlNothing(X12)
| ~ cowlThing(X12) ) ),
inference(flattening,[],[f59]) ).
fof(f61,plain,
! [X0] :
( ? [X1,X2,X3] :
( X2 != X3
& X1 != X3
& X1 != X2
& rq(X0,X3)
& rq(X0,X2)
& rq(X0,X1) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f62,plain,
( ? [X0] :
( ! [X6,X7,X8,X9,X10] :
( X9 = X10
| X8 = X10
| X8 = X9
| X7 = X10
| X7 = X9
| X7 = X8
| X6 = X10
| X6 = X9
| X6 = X8
| X6 = X7
| ~ rr(X0,X10)
| ~ rr(X0,X9)
| ~ rr(X0,X8)
| ~ rr(X0,X7)
| ~ rr(X0,X6) )
& sP0(X0)
& ? [X4,X5] :
( X4 != X5
& rp(X0,X5)
& rp(X0,X4) ) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f63,plain,
( sP1
| ? [X11] :
( xsd_string(X11)
<~> ~ xsd_integer(X11) )
| ? [X12] :
( cowlNothing(X12)
| ~ cowlThing(X12) ) ),
inference(definition_folding,[],[f60,f62,f61]) ).
fof(f64,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f65,plain,
( ? [X0] :
( ! [X6,X7,X8,X9,X10] :
( X9 = X10
| X8 = X10
| X8 = X9
| X7 = X10
| X7 = X9
| X7 = X8
| X6 = X10
| X6 = X9
| X6 = X8
| X6 = X7
| ~ rr(X0,X10)
| ~ rr(X0,X9)
| ~ rr(X0,X8)
| ~ rr(X0,X7)
| ~ rr(X0,X6) )
& sP0(X0)
& ? [X4,X5] :
( X4 != X5
& rp(X0,X5)
& rp(X0,X4) ) )
| ~ sP1 ),
inference(nnf_transformation,[],[f62]) ).
fof(f66,plain,
( ? [X0] :
( ! [X1,X2,X3,X4,X5] :
( X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X1 = X5
| X1 = X4
| X1 = X3
| X1 = X2
| ~ rr(X0,X5)
| ~ rr(X0,X4)
| ~ rr(X0,X3)
| ~ rr(X0,X2)
| ~ rr(X0,X1) )
& sP0(X0)
& ? [X6,X7] :
( X6 != X7
& rp(X0,X7)
& rp(X0,X6) ) )
| ~ sP1 ),
inference(rectify,[],[f65]) ).
fof(f67,plain,
( ? [X0] :
( ! [X1,X2,X3,X4,X5] :
( X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X1 = X5
| X1 = X4
| X1 = X3
| X1 = X2
| ~ rr(X0,X5)
| ~ rr(X0,X4)
| ~ rr(X0,X3)
| ~ rr(X0,X2)
| ~ rr(X0,X1) )
& sP0(X0)
& ? [X6,X7] :
( X6 != X7
& rp(X0,X7)
& rp(X0,X6) ) )
=> ( ! [X5,X4,X3,X2,X1] :
( X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X1 = X5
| X1 = X4
| X1 = X3
| X1 = X2
| ~ rr(sK2,X5)
| ~ rr(sK2,X4)
| ~ rr(sK2,X3)
| ~ rr(sK2,X2)
| ~ rr(sK2,X1) )
& sP0(sK2)
& ? [X7,X6] :
( X6 != X7
& rp(sK2,X7)
& rp(sK2,X6) ) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
( ? [X7,X6] :
( X6 != X7
& rp(sK2,X7)
& rp(sK2,X6) )
=> ( sK3 != sK4
& rp(sK2,sK4)
& rp(sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
( ( ! [X1,X2,X3,X4,X5] :
( X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X1 = X5
| X1 = X4
| X1 = X3
| X1 = X2
| ~ rr(sK2,X5)
| ~ rr(sK2,X4)
| ~ rr(sK2,X3)
| ~ rr(sK2,X2)
| ~ rr(sK2,X1) )
& sP0(sK2)
& sK3 != sK4
& rp(sK2,sK4)
& rp(sK2,sK3) )
| ~ sP1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f66,f68,f67]) ).
fof(f70,plain,
! [X0] :
( ? [X1,X2,X3] :
( X2 != X3
& X1 != X3
& X1 != X2
& rq(X0,X3)
& rq(X0,X2)
& rq(X0,X1) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f61]) ).
fof(f71,plain,
! [X0] :
( ? [X1,X2,X3] :
( X2 != X3
& X1 != X3
& X1 != X2
& rq(X0,X3)
& rq(X0,X2)
& rq(X0,X1) )
=> ( sK6(X0) != sK7(X0)
& sK5(X0) != sK7(X0)
& sK5(X0) != sK6(X0)
& rq(X0,sK7(X0))
& rq(X0,sK6(X0))
& rq(X0,sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0] :
( ( sK6(X0) != sK7(X0)
& sK5(X0) != sK7(X0)
& sK5(X0) != sK6(X0)
& rq(X0,sK7(X0))
& rq(X0,sK6(X0))
& rq(X0,sK5(X0)) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f70,f71]) ).
fof(f73,plain,
( sP1
| ? [X11] :
( ( xsd_integer(X11)
| ~ xsd_string(X11) )
& ( ~ xsd_integer(X11)
| xsd_string(X11) ) )
| ? [X12] :
( cowlNothing(X12)
| ~ cowlThing(X12) ) ),
inference(nnf_transformation,[],[f63]) ).
fof(f74,plain,
( sP1
| ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
| ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) ) ),
inference(rectify,[],[f73]) ).
fof(f75,plain,
( ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
=> ( ( xsd_integer(sK8)
| ~ xsd_string(sK8) )
& ( ~ xsd_integer(sK8)
| xsd_string(sK8) ) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
( ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) )
=> ( cowlNothing(sK9)
| ~ cowlThing(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
( sP1
| ( ( xsd_integer(sK8)
| ~ xsd_string(sK8) )
& ( ~ xsd_integer(sK8)
| xsd_string(sK8) ) )
| cowlNothing(sK9)
| ~ cowlThing(sK9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f74,f76,f75]) ).
fof(f90,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f22]) ).
fof(f91,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f22]) ).
fof(f92,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f93,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f94,plain,
! [X0,X1] :
( cA(X1)
| ~ rp(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f95,plain,
! [X0,X1] :
( cB(X1)
| ~ rq(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f96,plain,
! [X0] :
( ~ cA(X0)
| ~ cB(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f97,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rq(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f98,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rp(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f99,plain,
( rp(sK2,sK3)
| ~ sP1 ),
inference(cnf_transformation,[],[f69]) ).
fof(f100,plain,
( rp(sK2,sK4)
| ~ sP1 ),
inference(cnf_transformation,[],[f69]) ).
fof(f101,plain,
( sK3 != sK4
| ~ sP1 ),
inference(cnf_transformation,[],[f69]) ).
fof(f102,plain,
( sP0(sK2)
| ~ sP1 ),
inference(cnf_transformation,[],[f69]) ).
fof(f103,plain,
! [X2,X3,X1,X4,X5] :
( X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X1 = X5
| X1 = X4
| X1 = X3
| X1 = X2
| ~ rr(sK2,X5)
| ~ rr(sK2,X4)
| ~ rr(sK2,X3)
| ~ rr(sK2,X2)
| ~ rr(sK2,X1)
| ~ sP1 ),
inference(cnf_transformation,[],[f69]) ).
fof(f104,plain,
! [X0] :
( rq(X0,sK5(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f105,plain,
! [X0] :
( rq(X0,sK6(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f106,plain,
! [X0] :
( rq(X0,sK7(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f107,plain,
! [X0] :
( sK5(X0) != sK6(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f108,plain,
! [X0] :
( sK5(X0) != sK7(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f109,plain,
! [X0] :
( sK6(X0) != sK7(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f110,plain,
( sP1
| ~ xsd_integer(sK8)
| xsd_string(sK8)
| cowlNothing(sK9)
| ~ cowlThing(sK9) ),
inference(cnf_transformation,[],[f77]) ).
fof(f111,plain,
( sP1
| xsd_integer(sK8)
| ~ xsd_string(sK8)
| cowlNothing(sK9)
| ~ cowlThing(sK9) ),
inference(cnf_transformation,[],[f77]) ).
cnf(c_49,plain,
~ cowlNothing(X0),
inference(cnf_transformation,[],[f91]) ).
cnf(c_50,plain,
cowlThing(X0),
inference(cnf_transformation,[],[f90]) ).
cnf(c_51,plain,
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f93]) ).
cnf(c_52,plain,
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f92]) ).
cnf(c_53,plain,
( ~ rp(X0,X1)
| cA(X1) ),
inference(cnf_transformation,[],[f94]) ).
cnf(c_54,plain,
( ~ rq(X0,X1)
| cB(X1) ),
inference(cnf_transformation,[],[f95]) ).
cnf(c_55,plain,
( ~ cA(X0)
| ~ cB(X0) ),
inference(cnf_transformation,[],[f96]) ).
cnf(c_56,plain,
( ~ rq(X0,X1)
| rr(X0,X1) ),
inference(cnf_transformation,[],[f97]) ).
cnf(c_57,plain,
( ~ rp(X0,X1)
| rr(X0,X1) ),
inference(cnf_transformation,[],[f98]) ).
cnf(c_58,plain,
( ~ rr(sK2,X0)
| ~ rr(sK2,X1)
| ~ rr(sK2,X2)
| ~ rr(sK2,X3)
| ~ rr(sK2,X4)
| ~ sP1
| X0 = X1
| X0 = X2
| X0 = X3
| X0 = X4
| X1 = X2
| X1 = X3
| X1 = X4
| X2 = X3
| X2 = X4
| X3 = X4 ),
inference(cnf_transformation,[],[f103]) ).
cnf(c_59,plain,
( ~ sP1
| sP0(sK2) ),
inference(cnf_transformation,[],[f102]) ).
cnf(c_60,plain,
( sK3 != sK4
| ~ sP1 ),
inference(cnf_transformation,[],[f101]) ).
cnf(c_61,plain,
( ~ sP1
| rp(sK2,sK4) ),
inference(cnf_transformation,[],[f100]) ).
cnf(c_62,plain,
( ~ sP1
| rp(sK2,sK3) ),
inference(cnf_transformation,[],[f99]) ).
cnf(c_63,plain,
( sK6(X0) != sK7(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f109]) ).
cnf(c_64,plain,
( sK7(X0) != sK5(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f108]) ).
cnf(c_65,plain,
( sK6(X0) != sK5(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f107]) ).
cnf(c_66,plain,
( ~ sP0(X0)
| rq(X0,sK7(X0)) ),
inference(cnf_transformation,[],[f106]) ).
cnf(c_67,plain,
( ~ sP0(X0)
| rq(X0,sK6(X0)) ),
inference(cnf_transformation,[],[f105]) ).
cnf(c_68,plain,
( ~ sP0(X0)
| rq(X0,sK5(X0)) ),
inference(cnf_transformation,[],[f104]) ).
cnf(c_69,negated_conjecture,
( ~ cowlThing(sK9)
| ~ xsd_string(sK8)
| cowlNothing(sK9)
| xsd_integer(sK8)
| sP1 ),
inference(cnf_transformation,[],[f111]) ).
cnf(c_70,negated_conjecture,
( ~ cowlThing(sK9)
| ~ xsd_integer(sK8)
| cowlNothing(sK9)
| xsd_string(sK8)
| sP1 ),
inference(cnf_transformation,[],[f110]) ).
cnf(c_87,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(prop_impl_just,[status(thm)],[c_52]) ).
cnf(c_88,plain,
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(renaming,[status(thm)],[c_87]) ).
cnf(c_89,plain,
( xsd_integer(X0)
| xsd_string(X0) ),
inference(prop_impl_just,[status(thm)],[c_51]) ).
cnf(c_90,plain,
( xsd_string(X0)
| xsd_integer(X0) ),
inference(renaming,[status(thm)],[c_89]) ).
cnf(c_91,plain,
( ~ rp(X0,X1)
| cA(X1) ),
inference(prop_impl_just,[status(thm)],[c_53]) ).
cnf(c_93,plain,
( ~ rp(X0,X1)
| rr(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_57]) ).
cnf(c_95,plain,
( ~ rq(X0,X1)
| cB(X1) ),
inference(prop_impl_just,[status(thm)],[c_54]) ).
cnf(c_97,plain,
( ~ rq(X0,X1)
| rr(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_56]) ).
cnf(c_99,plain,
( ~ cA(X0)
| ~ cB(X0) ),
inference(prop_impl_just,[status(thm)],[c_55]) ).
cnf(c_103,plain,
( ~ sP1
| sP0(sK2) ),
inference(prop_impl_just,[status(thm)],[c_59]) ).
cnf(c_105,plain,
( ~ sP1
| sK3 != sK4 ),
inference(prop_impl_just,[status(thm)],[c_60]) ).
cnf(c_106,plain,
( sK3 != sK4
| ~ sP1 ),
inference(renaming,[status(thm)],[c_105]) ).
cnf(c_107,plain,
( ~ sP1
| rp(sK2,sK4) ),
inference(prop_impl_just,[status(thm)],[c_61]) ).
cnf(c_109,plain,
( ~ sP1
| rp(sK2,sK3) ),
inference(prop_impl_just,[status(thm)],[c_62]) ).
cnf(c_113,plain,
( sK6(X0) != sK7(X0)
| ~ sP0(X0) ),
inference(prop_impl_just,[status(thm)],[c_63]) ).
cnf(c_117,plain,
( ~ sP0(X0)
| sK7(X0) != sK5(X0) ),
inference(prop_impl_just,[status(thm)],[c_64]) ).
cnf(c_118,plain,
( sK7(X0) != sK5(X0)
| ~ sP0(X0) ),
inference(renaming,[status(thm)],[c_117]) ).
cnf(c_119,plain,
( ~ sP0(X0)
| sK6(X0) != sK5(X0) ),
inference(prop_impl_just,[status(thm)],[c_65]) ).
cnf(c_120,plain,
( sK6(X0) != sK5(X0)
| ~ sP0(X0) ),
inference(renaming,[status(thm)],[c_119]) ).
cnf(c_121,plain,
( ~ sP0(X0)
| rq(X0,sK7(X0)) ),
inference(prop_impl_just,[status(thm)],[c_66]) ).
cnf(c_123,plain,
( ~ sP0(X0)
| rq(X0,sK6(X0)) ),
inference(prop_impl_just,[status(thm)],[c_67]) ).
cnf(c_125,plain,
( ~ sP0(X0)
| rq(X0,sK5(X0)) ),
inference(prop_impl_just,[status(thm)],[c_68]) ).
cnf(c_202,plain,
( ~ xsd_integer(sK8)
| cowlNothing(sK9)
| xsd_string(sK8)
| sP1 ),
inference(backward_subsumption_resolution,[status(thm)],[c_70,c_50]) ).
cnf(c_203,plain,
( ~ xsd_string(sK8)
| cowlNothing(sK9)
| xsd_integer(sK8)
| sP1 ),
inference(backward_subsumption_resolution,[status(thm)],[c_69,c_50]) ).
cnf(c_206,plain,
( ~ xsd_string(sK8)
| xsd_integer(sK8)
| sP1 ),
inference(backward_subsumption_resolution,[status(thm)],[c_203,c_49]) ).
cnf(c_207,plain,
( ~ xsd_integer(sK8)
| xsd_string(sK8)
| sP1 ),
inference(backward_subsumption_resolution,[status(thm)],[c_202,c_49]) ).
cnf(c_211,plain,
( xsd_integer(sK8)
| sP1 ),
inference(backward_subsumption_resolution,[status(thm)],[c_206,c_90]) ).
cnf(c_213,plain,
( xsd_string(sK8)
| sP1 ),
inference(backward_subsumption_resolution,[status(thm)],[c_207,c_90]) ).
cnf(c_433,plain,
( X0 != X1
| ~ rp(X2,X0)
| ~ cB(X1) ),
inference(resolution_lifted,[status(thm)],[c_91,c_99]) ).
cnf(c_434,plain,
( ~ rp(X0,X1)
| ~ cB(X1) ),
inference(unflattening,[status(thm)],[c_433]) ).
cnf(c_444,plain,
( X0 != X1
| ~ rp(X2,X1)
| ~ rq(X3,X0) ),
inference(resolution_lifted,[status(thm)],[c_95,c_434]) ).
cnf(c_445,plain,
( ~ rp(X0,X1)
| ~ rq(X2,X1) ),
inference(unflattening,[status(thm)],[c_444]) ).
cnf(c_457,plain,
( X0 != sK8
| ~ xsd_integer(X0)
| sP1 ),
inference(resolution_lifted,[status(thm)],[c_88,c_213]) ).
cnf(c_458,plain,
( ~ xsd_integer(sK8)
| sP1 ),
inference(unflattening,[status(thm)],[c_457]) ).
cnf(c_459,plain,
sP1,
inference(global_subsumption_just,[status(thm)],[c_458,c_211,c_458]) ).
cnf(c_465,plain,
sK3 != sK4,
inference(backward_subsumption_resolution,[status(thm)],[c_106,c_459]) ).
cnf(c_466,plain,
rp(sK2,sK3),
inference(backward_subsumption_resolution,[status(thm)],[c_109,c_459]) ).
cnf(c_467,plain,
sP0(sK2),
inference(backward_subsumption_resolution,[status(thm)],[c_103,c_459]) ).
cnf(c_468,plain,
rp(sK2,sK4),
inference(backward_subsumption_resolution,[status(thm)],[c_107,c_459]) ).
cnf(c_469,plain,
( X0 != sK2
| X1 != sK4
| ~ rq(X2,X1) ),
inference(resolution_lifted,[status(thm)],[c_445,c_468]) ).
cnf(c_470,plain,
~ rq(X0,sK4),
inference(unflattening,[status(thm)],[c_469]) ).
cnf(c_475,plain,
( X0 != sK2
| X1 != sK4
| rr(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_93,c_468]) ).
cnf(c_476,plain,
rr(sK2,sK4),
inference(unflattening,[status(thm)],[c_475]) ).
cnf(c_480,plain,
( X0 != sK2
| X1 != sK3
| ~ rq(X2,X1) ),
inference(resolution_lifted,[status(thm)],[c_445,c_466]) ).
cnf(c_481,plain,
~ rq(X0,sK3),
inference(unflattening,[status(thm)],[c_480]) ).
cnf(c_486,plain,
( X0 != sK2
| X1 != sK3
| rr(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_93,c_466]) ).
cnf(c_487,plain,
rr(sK2,sK3),
inference(unflattening,[status(thm)],[c_486]) ).
cnf(c_495,plain,
( X0 != sK2
| rq(X0,sK5(X0)) ),
inference(resolution_lifted,[status(thm)],[c_467,c_125]) ).
cnf(c_496,plain,
rq(sK2,sK5(sK2)),
inference(unflattening,[status(thm)],[c_495]) ).
cnf(c_500,plain,
( X0 != sK2
| rq(X0,sK6(X0)) ),
inference(resolution_lifted,[status(thm)],[c_467,c_123]) ).
cnf(c_501,plain,
rq(sK2,sK6(sK2)),
inference(unflattening,[status(thm)],[c_500]) ).
cnf(c_505,plain,
( X0 != sK2
| rq(X0,sK7(X0)) ),
inference(resolution_lifted,[status(thm)],[c_467,c_121]) ).
cnf(c_506,plain,
rq(sK2,sK7(sK2)),
inference(unflattening,[status(thm)],[c_505]) ).
cnf(c_510,plain,
( sK6(X0) != sK5(X0)
| X0 != sK2 ),
inference(resolution_lifted,[status(thm)],[c_467,c_120]) ).
cnf(c_511,plain,
sK6(sK2) != sK5(sK2),
inference(unflattening,[status(thm)],[c_510]) ).
cnf(c_515,plain,
( sK7(X0) != sK5(X0)
| X0 != sK2 ),
inference(resolution_lifted,[status(thm)],[c_467,c_118]) ).
cnf(c_516,plain,
sK7(sK2) != sK5(sK2),
inference(unflattening,[status(thm)],[c_515]) ).
cnf(c_520,plain,
( sK6(X0) != sK7(X0)
| X0 != sK2 ),
inference(resolution_lifted,[status(thm)],[c_467,c_113]) ).
cnf(c_521,plain,
sK6(sK2) != sK7(sK2),
inference(unflattening,[status(thm)],[c_520]) ).
cnf(c_531,plain,
( sK5(sK2) != X1
| X0 != sK2
| rr(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_97,c_496]) ).
cnf(c_532,plain,
rr(sK2,sK5(sK2)),
inference(unflattening,[status(thm)],[c_531]) ).
cnf(c_536,plain,
( sK6(sK2) != X1
| X0 != sK2
| rr(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_97,c_501]) ).
cnf(c_537,plain,
rr(sK2,sK6(sK2)),
inference(unflattening,[status(thm)],[c_536]) ).
cnf(c_541,plain,
( sK7(sK2) != X1
| X0 != sK2
| rr(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_97,c_506]) ).
cnf(c_542,plain,
rr(sK2,sK7(sK2)),
inference(unflattening,[status(thm)],[c_541]) ).
cnf(c_546,plain,
( sK5(sK2) != sK4
| X0 != sK2 ),
inference(resolution_lifted,[status(thm)],[c_496,c_470]) ).
cnf(c_547,plain,
sK5(sK2) != sK4,
inference(unflattening,[status(thm)],[c_546]) ).
cnf(c_551,plain,
( sK5(sK2) != sK3
| X0 != sK2 ),
inference(resolution_lifted,[status(thm)],[c_496,c_481]) ).
cnf(c_552,plain,
sK5(sK2) != sK3,
inference(unflattening,[status(thm)],[c_551]) ).
cnf(c_556,plain,
( sK6(sK2) != sK4
| X0 != sK2 ),
inference(resolution_lifted,[status(thm)],[c_501,c_470]) ).
cnf(c_557,plain,
sK6(sK2) != sK4,
inference(unflattening,[status(thm)],[c_556]) ).
cnf(c_561,plain,
( sK6(sK2) != sK3
| X0 != sK2 ),
inference(resolution_lifted,[status(thm)],[c_501,c_481]) ).
cnf(c_562,plain,
sK6(sK2) != sK3,
inference(unflattening,[status(thm)],[c_561]) ).
cnf(c_566,plain,
( sK7(sK2) != sK4
| X0 != sK2 ),
inference(resolution_lifted,[status(thm)],[c_506,c_470]) ).
cnf(c_567,plain,
sK7(sK2) != sK4,
inference(unflattening,[status(thm)],[c_566]) ).
cnf(c_571,plain,
( sK7(sK2) != sK3
| X0 != sK2 ),
inference(resolution_lifted,[status(thm)],[c_506,c_481]) ).
cnf(c_572,plain,
sK7(sK2) != sK3,
inference(unflattening,[status(thm)],[c_571]) ).
cnf(c_585,plain,
( ~ rr(sK2,X0)
| ~ rr(sK2,X1)
| ~ rr(sK2,X2)
| ~ rr(sK2,X3)
| ~ rr(sK2,X4)
| X0 = X1
| X0 = X2
| X0 = X3
| X0 = X4
| X1 = X2
| X1 = X3
| X1 = X4
| X2 = X3
| X2 = X4
| X3 = X4 ),
inference(resolution,[status(thm)],[c_459,c_58]) ).
cnf(c_993,plain,
( ~ rr(sK2,X0)
| ~ rr(sK2,X1)
| ~ rr(sK2,X2)
| ~ rr(sK2,X3)
| sK5(sK2) = X0
| sK5(sK2) = X1
| sK5(sK2) = X2
| sK5(sK2) = X3
| X0 = X1
| X0 = X2
| X0 = X3
| X1 = X2
| X1 = X3
| X2 = X3 ),
inference(superposition,[status(thm)],[c_532,c_585]) ).
cnf(c_1242,plain,
( ~ rr(sK2,X0)
| ~ rr(sK2,X1)
| ~ rr(sK2,X2)
| sK7(sK2) = sK5(sK2)
| sK7(sK2) = X0
| sK7(sK2) = X1
| sK7(sK2) = X2
| sK5(sK2) = X0
| sK5(sK2) = X1
| sK5(sK2) = X2
| X0 = X1
| X0 = X2
| X1 = X2 ),
inference(superposition,[status(thm)],[c_542,c_993]) ).
cnf(c_1245,plain,
( ~ rr(sK2,X0)
| ~ rr(sK2,X1)
| ~ rr(sK2,X2)
| sK7(sK2) = X0
| sK7(sK2) = X1
| sK7(sK2) = X2
| sK5(sK2) = X0
| sK5(sK2) = X1
| sK5(sK2) = X2
| X0 = X1
| X0 = X2
| X1 = X2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_1242,c_516]) ).
cnf(c_1382,plain,
( ~ rr(sK2,X0)
| ~ rr(sK2,X1)
| sK6(sK2) = sK7(sK2)
| sK6(sK2) = sK5(sK2)
| sK6(sK2) = X0
| sK6(sK2) = X1
| sK7(sK2) = X0
| sK7(sK2) = X1
| sK5(sK2) = X0
| sK5(sK2) = X1
| X0 = X1 ),
inference(superposition,[status(thm)],[c_537,c_1245]) ).
cnf(c_1404,plain,
( ~ rr(sK2,X0)
| ~ rr(sK2,X1)
| sK6(sK2) = X0
| sK6(sK2) = X1
| sK7(sK2) = X0
| sK7(sK2) = X1
| sK5(sK2) = X0
| sK5(sK2) = X1
| X0 = X1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_1382,c_511,c_521]) ).
cnf(c_1433,plain,
( ~ rr(sK2,X0)
| sK6(sK2) = X0
| sK6(sK2) = sK3
| sK7(sK2) = X0
| sK7(sK2) = sK3
| sK5(sK2) = X0
| sK5(sK2) = sK3
| X0 = sK3 ),
inference(superposition,[status(thm)],[c_487,c_1404]) ).
cnf(c_1437,plain,
( ~ rr(sK2,X0)
| sK6(sK2) = X0
| sK7(sK2) = X0
| sK5(sK2) = X0
| X0 = sK3 ),
inference(forward_subsumption_resolution,[status(thm)],[c_1433,c_552,c_572,c_562]) ).
cnf(c_1563,plain,
( sK6(sK2) = sK4
| sK7(sK2) = sK4
| sK5(sK2) = sK4
| sK3 = sK4 ),
inference(superposition,[status(thm)],[c_476,c_1437]) ).
cnf(c_1568,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1563,c_465,c_547,c_567,c_557]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KRS162+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.14 % Command : run_iprover %s %d THM
% 0.15/0.35 % Computer : n019.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu May 2 22:42:44 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.59/1.19 % SZS status Started for theBenchmark.p
% 2.59/1.19 % SZS status Theorem for theBenchmark.p
% 2.59/1.19
% 2.59/1.19 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.59/1.19
% 2.59/1.19 ------ iProver source info
% 2.59/1.19
% 2.59/1.19 git: date: 2024-05-02 19:28:25 +0000
% 2.59/1.19 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.59/1.19 git: non_committed_changes: false
% 2.59/1.19
% 2.59/1.19 ------ Parsing...
% 2.59/1.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.59/1.19
% 2.59/1.19 ------ Preprocessing... sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 6 0s sf_e pe_s pe_e
% 2.59/1.19
% 2.59/1.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.59/1.19
% 2.59/1.19 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.59/1.19 ------ Proving...
% 2.59/1.19 ------ Problem Properties
% 2.59/1.19
% 2.59/1.19
% 2.59/1.19 clauses 16
% 2.59/1.19 conjectures 0
% 2.59/1.19 EPR 4
% 2.59/1.19 Horn 15
% 2.59/1.19 unary 15
% 2.59/1.19 binary 0
% 2.59/1.19 lits 30
% 2.59/1.19 lits eq 20
% 2.59/1.19 fd_pure 0
% 2.59/1.19 fd_pseudo 0
% 2.59/1.19 fd_cond 0
% 2.59/1.19 fd_pseudo_cond 1
% 2.59/1.19 AC symbols 0
% 2.59/1.19
% 2.59/1.19 ------ Schedule dynamic 5 is on
% 2.59/1.19
% 2.59/1.19 ------ no conjectures: strip conj schedule
% 2.59/1.19
% 2.59/1.19 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.59/1.19
% 2.59/1.19
% 2.59/1.19 ------
% 2.59/1.19 Current options:
% 2.59/1.19 ------
% 2.59/1.19
% 2.59/1.19
% 2.59/1.19
% 2.59/1.19
% 2.59/1.19 ------ Proving...
% 2.59/1.19
% 2.59/1.19
% 2.59/1.19 % SZS status Theorem for theBenchmark.p
% 2.59/1.19
% 2.59/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.59/1.19
% 2.59/1.19
%------------------------------------------------------------------------------