TSTP Solution File: KRS144+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : KRS144+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 02:33:46 EDT 2024
% Result : Theorem 0.52s 1.21s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 11
% Syntax : Number of formulae : 114 ( 12 unt; 0 def)
% Number of atoms : 544 ( 134 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 668 ( 238 ~; 282 |; 121 &)
% ( 5 <=>; 19 =>; 0 <=; 3 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 2 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-1 aty)
% Number of variables : 199 ( 2 sgn 78 !; 64 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X3] :
( ~ cowlNothing(X3)
& cowlThing(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f9,axiom,
! [X3] :
( xsd_string(X3)
<=> ~ xsd_integer(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f10,axiom,
! [X3] :
( cc(X3)
=> ( ! [X4,X5,X6] :
( ( rp(X3,X6)
& rp(X3,X5)
& rp(X3,X4) )
=> ( X5 = X6
| X4 = X6
| X4 = X5 ) )
& ? [X4,X5] :
( X4 != X5
& rp(X3,X5)
& rp(X3,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f11,conjecture,
( ! [X3] :
( cc(X3)
=> ? [X4,X5] :
( X4 != X5
& rp(X3,X5)
& rp(X3,X4) ) )
& ! [X3] :
( cc(X3)
=> ! [X4,X5,X6] :
( ( rp(X3,X6)
& rp(X3,X5)
& rp(X3,X4) )
=> ( X5 = X6
| X4 = X6
| X4 = X5 ) ) )
& ! [X3] :
( xsd_string(X3)
<=> ~ xsd_integer(X3) )
& ! [X3] :
( ~ cowlNothing(X3)
& cowlThing(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f12,negated_conjecture,
~ ( ! [X3] :
( cc(X3)
=> ? [X4,X5] :
( X4 != X5
& rp(X3,X5)
& rp(X3,X4) ) )
& ! [X3] :
( cc(X3)
=> ! [X4,X5,X6] :
( ( rp(X3,X6)
& rp(X3,X5)
& rp(X3,X4) )
=> ( X5 = X6
| X4 = X6
| X4 = X5 ) ) )
& ! [X3] :
( xsd_string(X3)
<=> ~ xsd_integer(X3) )
& ! [X3] :
( ~ cowlNothing(X3)
& cowlThing(X3) ) ),
inference(negated_conjecture,[],[f11]) ).
fof(f13,plain,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
inference(rectify,[],[f8]) ).
fof(f14,plain,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
inference(rectify,[],[f9]) ).
fof(f15,plain,
! [X0] :
( cc(X0)
=> ( ! [X1,X2,X3] :
( ( rp(X0,X3)
& rp(X0,X2)
& rp(X0,X1) )
=> ( X2 = X3
| X1 = X3
| X1 = X2 ) )
& ? [X4,X5] :
( X4 != X5
& rp(X0,X5)
& rp(X0,X4) ) ) ),
inference(rectify,[],[f10]) ).
fof(f16,plain,
~ ( ! [X0] :
( cc(X0)
=> ? [X1,X2] :
( X1 != X2
& rp(X0,X2)
& rp(X0,X1) ) )
& ! [X3] :
( cc(X3)
=> ! [X4,X5,X6] :
( ( rp(X3,X6)
& rp(X3,X5)
& rp(X3,X4) )
=> ( X5 = X6
| X4 = X6
| X4 = X5 ) ) )
& ! [X7] :
( xsd_string(X7)
<=> ~ xsd_integer(X7) )
& ! [X8] :
( ~ cowlNothing(X8)
& cowlThing(X8) ) ),
inference(rectify,[],[f12]) ).
fof(f31,plain,
! [X0] :
( ( ! [X1,X2,X3] :
( X2 = X3
| X1 = X3
| X1 = X2
| ~ rp(X0,X3)
| ~ rp(X0,X2)
| ~ rp(X0,X1) )
& ? [X4,X5] :
( X4 != X5
& rp(X0,X5)
& rp(X0,X4) ) )
| ~ cc(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f32,plain,
! [X0] :
( ( ! [X1,X2,X3] :
( X2 = X3
| X1 = X3
| X1 = X2
| ~ rp(X0,X3)
| ~ rp(X0,X2)
| ~ rp(X0,X1) )
& ? [X4,X5] :
( X4 != X5
& rp(X0,X5)
& rp(X0,X4) ) )
| ~ cc(X0) ),
inference(flattening,[],[f31]) ).
fof(f33,plain,
( ? [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ rp(X0,X2)
| ~ rp(X0,X1) )
& cc(X0) )
| ? [X3] :
( ? [X4,X5,X6] :
( X5 != X6
& X4 != X6
& X4 != X5
& rp(X3,X6)
& rp(X3,X5)
& rp(X3,X4) )
& cc(X3) )
| ? [X7] :
( xsd_string(X7)
<~> ~ xsd_integer(X7) )
| ? [X8] :
( cowlNothing(X8)
| ~ cowlThing(X8) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f34,plain,
( ? [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ rp(X0,X2)
| ~ rp(X0,X1) )
& cc(X0) )
| ? [X3] :
( ? [X4,X5,X6] :
( X5 != X6
& X4 != X6
& X4 != X5
& rp(X3,X6)
& rp(X3,X5)
& rp(X3,X4) )
& cc(X3) )
| ? [X7] :
( xsd_string(X7)
<~> ~ xsd_integer(X7) )
| ? [X8] :
( cowlNothing(X8)
| ~ cowlThing(X8) ) ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
( ? [X3] :
( ? [X4,X5,X6] :
( X5 != X6
& X4 != X6
& X4 != X5
& rp(X3,X6)
& rp(X3,X5)
& rp(X3,X4) )
& cc(X3) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f36,plain,
( ? [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ rp(X0,X2)
| ~ rp(X0,X1) )
& cc(X0) )
| sP0
| ? [X7] :
( xsd_string(X7)
<~> ~ xsd_integer(X7) )
| ? [X8] :
( cowlNothing(X8)
| ~ cowlThing(X8) ) ),
inference(definition_folding,[],[f34,f35]) ).
fof(f37,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f38,plain,
! [X0] :
( ? [X4,X5] :
( X4 != X5
& rp(X0,X5)
& rp(X0,X4) )
=> ( sK1(X0) != sK2(X0)
& rp(X0,sK2(X0))
& rp(X0,sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X0] :
( ( ! [X1,X2,X3] :
( X2 = X3
| X1 = X3
| X1 = X2
| ~ rp(X0,X3)
| ~ rp(X0,X2)
| ~ rp(X0,X1) )
& sK1(X0) != sK2(X0)
& rp(X0,sK2(X0))
& rp(X0,sK1(X0)) )
| ~ cc(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f32,f38]) ).
fof(f40,plain,
( ? [X3] :
( ? [X4,X5,X6] :
( X5 != X6
& X4 != X6
& X4 != X5
& rp(X3,X6)
& rp(X3,X5)
& rp(X3,X4) )
& cc(X3) )
| ~ sP0 ),
inference(nnf_transformation,[],[f35]) ).
fof(f41,plain,
( ? [X0] :
( ? [X1,X2,X3] :
( X2 != X3
& X1 != X3
& X1 != X2
& rp(X0,X3)
& rp(X0,X2)
& rp(X0,X1) )
& cc(X0) )
| ~ sP0 ),
inference(rectify,[],[f40]) ).
fof(f42,plain,
( ? [X0] :
( ? [X1,X2,X3] :
( X2 != X3
& X1 != X3
& X1 != X2
& rp(X0,X3)
& rp(X0,X2)
& rp(X0,X1) )
& cc(X0) )
=> ( ? [X3,X2,X1] :
( X2 != X3
& X1 != X3
& X1 != X2
& rp(sK3,X3)
& rp(sK3,X2)
& rp(sK3,X1) )
& cc(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
( ? [X3,X2,X1] :
( X2 != X3
& X1 != X3
& X1 != X2
& rp(sK3,X3)
& rp(sK3,X2)
& rp(sK3,X1) )
=> ( sK5 != sK6
& sK4 != sK6
& sK4 != sK5
& rp(sK3,sK6)
& rp(sK3,sK5)
& rp(sK3,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
( ( sK5 != sK6
& sK4 != sK6
& sK4 != sK5
& rp(sK3,sK6)
& rp(sK3,sK5)
& rp(sK3,sK4)
& cc(sK3) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6])],[f41,f43,f42]) ).
fof(f45,plain,
( ? [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ rp(X0,X2)
| ~ rp(X0,X1) )
& cc(X0) )
| sP0
| ? [X7] :
( ( xsd_integer(X7)
| ~ xsd_string(X7) )
& ( ~ xsd_integer(X7)
| xsd_string(X7) ) )
| ? [X8] :
( cowlNothing(X8)
| ~ cowlThing(X8) ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f46,plain,
( ? [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ rp(X0,X2)
| ~ rp(X0,X1) )
& cc(X0) )
| sP0
| ? [X3] :
( ( xsd_integer(X3)
| ~ xsd_string(X3) )
& ( ~ xsd_integer(X3)
| xsd_string(X3) ) )
| ? [X4] :
( cowlNothing(X4)
| ~ cowlThing(X4) ) ),
inference(rectify,[],[f45]) ).
fof(f47,plain,
( ? [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ rp(X0,X2)
| ~ rp(X0,X1) )
& cc(X0) )
=> ( ! [X2,X1] :
( X1 = X2
| ~ rp(sK7,X2)
| ~ rp(sK7,X1) )
& cc(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
( ? [X3] :
( ( xsd_integer(X3)
| ~ xsd_string(X3) )
& ( ~ xsd_integer(X3)
| xsd_string(X3) ) )
=> ( ( xsd_integer(sK8)
| ~ xsd_string(sK8) )
& ( ~ xsd_integer(sK8)
| xsd_string(sK8) ) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
( ? [X4] :
( cowlNothing(X4)
| ~ cowlThing(X4) )
=> ( cowlNothing(sK9)
| ~ cowlThing(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
( ( ! [X1,X2] :
( X1 = X2
| ~ rp(sK7,X2)
| ~ rp(sK7,X1) )
& cc(sK7) )
| sP0
| ( ( xsd_integer(sK8)
| ~ xsd_string(sK8) )
& ( ~ xsd_integer(sK8)
| xsd_string(sK8) ) )
| cowlNothing(sK9)
| ~ cowlThing(sK9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f46,f49,f48,f47]) ).
fof(f58,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f13]) ).
fof(f59,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f13]) ).
fof(f60,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f61,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f62,plain,
! [X0] :
( rp(X0,sK1(X0))
| ~ cc(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f63,plain,
! [X0] :
( rp(X0,sK2(X0))
| ~ cc(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f64,plain,
! [X0] :
( sK1(X0) != sK2(X0)
| ~ cc(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f65,plain,
! [X2,X3,X0,X1] :
( X2 = X3
| X1 = X3
| X1 = X2
| ~ rp(X0,X3)
| ~ rp(X0,X2)
| ~ rp(X0,X1)
| ~ cc(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f66,plain,
( cc(sK3)
| ~ sP0 ),
inference(cnf_transformation,[],[f44]) ).
fof(f67,plain,
( rp(sK3,sK4)
| ~ sP0 ),
inference(cnf_transformation,[],[f44]) ).
fof(f68,plain,
( rp(sK3,sK5)
| ~ sP0 ),
inference(cnf_transformation,[],[f44]) ).
fof(f69,plain,
( rp(sK3,sK6)
| ~ sP0 ),
inference(cnf_transformation,[],[f44]) ).
fof(f70,plain,
( sK4 != sK5
| ~ sP0 ),
inference(cnf_transformation,[],[f44]) ).
fof(f71,plain,
( sK4 != sK6
| ~ sP0 ),
inference(cnf_transformation,[],[f44]) ).
fof(f72,plain,
( sK5 != sK6
| ~ sP0 ),
inference(cnf_transformation,[],[f44]) ).
fof(f73,plain,
( cc(sK7)
| sP0
| ~ xsd_integer(sK8)
| xsd_string(sK8)
| cowlNothing(sK9)
| ~ cowlThing(sK9) ),
inference(cnf_transformation,[],[f50]) ).
fof(f74,plain,
( cc(sK7)
| sP0
| xsd_integer(sK8)
| ~ xsd_string(sK8)
| cowlNothing(sK9)
| ~ cowlThing(sK9) ),
inference(cnf_transformation,[],[f50]) ).
fof(f75,plain,
! [X2,X1] :
( X1 = X2
| ~ rp(sK7,X2)
| ~ rp(sK7,X1)
| sP0
| ~ xsd_integer(sK8)
| xsd_string(sK8)
| cowlNothing(sK9)
| ~ cowlThing(sK9) ),
inference(cnf_transformation,[],[f50]) ).
fof(f76,plain,
! [X2,X1] :
( X1 = X2
| ~ rp(sK7,X2)
| ~ rp(sK7,X1)
| sP0
| xsd_integer(sK8)
| ~ xsd_string(sK8)
| cowlNothing(sK9)
| ~ cowlThing(sK9) ),
inference(cnf_transformation,[],[f50]) ).
cnf(c_49,plain,
~ cowlNothing(X0),
inference(cnf_transformation,[],[f59]) ).
cnf(c_50,plain,
cowlThing(X0),
inference(cnf_transformation,[],[f58]) ).
cnf(c_51,plain,
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f61]) ).
cnf(c_52,plain,
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f60]) ).
cnf(c_53,plain,
( ~ rp(X0,X1)
| ~ rp(X0,X2)
| ~ rp(X0,X3)
| ~ cc(X0)
| X1 = X2
| X1 = X3
| X2 = X3 ),
inference(cnf_transformation,[],[f65]) ).
cnf(c_54,plain,
( sK1(X0) != sK2(X0)
| ~ cc(X0) ),
inference(cnf_transformation,[],[f64]) ).
cnf(c_55,plain,
( ~ cc(X0)
| rp(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f63]) ).
cnf(c_56,plain,
( ~ cc(X0)
| rp(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f62]) ).
cnf(c_57,plain,
( sK5 != sK6
| ~ sP0 ),
inference(cnf_transformation,[],[f72]) ).
cnf(c_58,plain,
( sK6 != sK4
| ~ sP0 ),
inference(cnf_transformation,[],[f71]) ).
cnf(c_59,plain,
( sK5 != sK4
| ~ sP0 ),
inference(cnf_transformation,[],[f70]) ).
cnf(c_60,plain,
( ~ sP0
| rp(sK3,sK6) ),
inference(cnf_transformation,[],[f69]) ).
cnf(c_61,plain,
( ~ sP0
| rp(sK3,sK5) ),
inference(cnf_transformation,[],[f68]) ).
cnf(c_62,plain,
( ~ sP0
| rp(sK3,sK4) ),
inference(cnf_transformation,[],[f67]) ).
cnf(c_63,plain,
( ~ sP0
| cc(sK3) ),
inference(cnf_transformation,[],[f66]) ).
cnf(c_64,negated_conjecture,
( ~ rp(sK7,X0)
| ~ rp(sK7,X1)
| ~ cowlThing(sK9)
| ~ xsd_string(sK8)
| X0 = X1
| cowlNothing(sK9)
| xsd_integer(sK8)
| sP0 ),
inference(cnf_transformation,[],[f76]) ).
cnf(c_65,negated_conjecture,
( ~ rp(sK7,X0)
| ~ rp(sK7,X1)
| ~ cowlThing(sK9)
| ~ xsd_integer(sK8)
| X0 = X1
| cowlNothing(sK9)
| xsd_string(sK8)
| sP0 ),
inference(cnf_transformation,[],[f75]) ).
cnf(c_66,negated_conjecture,
( ~ cowlThing(sK9)
| ~ xsd_string(sK8)
| cowlNothing(sK9)
| xsd_integer(sK8)
| cc(sK7)
| sP0 ),
inference(cnf_transformation,[],[f74]) ).
cnf(c_67,negated_conjecture,
( ~ cowlThing(sK9)
| ~ xsd_integer(sK8)
| cowlNothing(sK9)
| xsd_string(sK8)
| cc(sK7)
| sP0 ),
inference(cnf_transformation,[],[f73]) ).
cnf(c_70,plain,
( xsd_string(sK8)
| xsd_integer(sK8) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_71,plain,
( ~ xsd_string(sK8)
| ~ xsd_integer(sK8) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_78,negated_conjecture,
( ~ cowlThing(sK9)
| cowlNothing(sK9)
| xsd_string(sK8)
| cc(sK7)
| sP0 ),
inference(global_subsumption_just,[status(thm)],[c_67,c_70,c_67]) ).
cnf(c_80,plain,
( cowlNothing(sK9)
| ~ cowlThing(sK9)
| cc(sK7)
| sP0 ),
inference(global_subsumption_just,[status(thm)],[c_78,c_71,c_66,c_78]) ).
cnf(c_81,negated_conjecture,
( ~ cowlThing(sK9)
| cowlNothing(sK9)
| cc(sK7)
| sP0 ),
inference(renaming,[status(thm)],[c_80]) ).
cnf(c_82,plain,
( cowlNothing(sK9)
| ~ cowlThing(sK9)
| cc(sK7)
| sP0 ),
inference(global_subsumption_just,[status(thm)],[c_66,c_81]) ).
cnf(c_83,negated_conjecture,
( ~ cowlThing(sK9)
| cowlNothing(sK9)
| cc(sK7)
| sP0 ),
inference(renaming,[status(thm)],[c_82]) ).
cnf(c_84,plain,
( ~ cowlThing(sK9)
| ~ rp(sK7,X1)
| ~ rp(sK7,X0)
| X0 = X1
| cowlNothing(sK9)
| xsd_string(sK8)
| sP0 ),
inference(global_subsumption_just,[status(thm)],[c_65,c_70,c_65]) ).
cnf(c_85,negated_conjecture,
( ~ rp(sK7,X0)
| ~ rp(sK7,X1)
| ~ cowlThing(sK9)
| X0 = X1
| cowlNothing(sK9)
| xsd_string(sK8)
| sP0 ),
inference(renaming,[status(thm)],[c_84]) ).
cnf(c_87,plain,
( cowlNothing(sK9)
| X0 = X1
| ~ cowlThing(sK9)
| ~ rp(sK7,X1)
| ~ rp(sK7,X0)
| sP0 ),
inference(global_subsumption_just,[status(thm)],[c_85,c_71,c_64,c_85]) ).
cnf(c_88,negated_conjecture,
( ~ rp(sK7,X0)
| ~ rp(sK7,X1)
| ~ cowlThing(sK9)
| X0 = X1
| cowlNothing(sK9)
| sP0 ),
inference(renaming,[status(thm)],[c_87]) ).
cnf(c_90,plain,
( cowlNothing(sK9)
| X0 = X1
| ~ rp(sK7,X0)
| ~ rp(sK7,X1)
| ~ cowlThing(sK9)
| sP0 ),
inference(global_subsumption_just,[status(thm)],[c_64,c_88]) ).
cnf(c_91,negated_conjecture,
( ~ rp(sK7,X0)
| ~ rp(sK7,X1)
| ~ cowlThing(sK9)
| X0 = X1
| cowlNothing(sK9)
| sP0 ),
inference(renaming,[status(thm)],[c_90]) ).
cnf(c_96,plain,
( ~ cc(X0)
| sK1(X0) != sK2(X0) ),
inference(prop_impl_just,[status(thm)],[c_54]) ).
cnf(c_97,plain,
( sK1(X0) != sK2(X0)
| ~ cc(X0) ),
inference(renaming,[status(thm)],[c_96]) ).
cnf(c_98,plain,
( ~ cc(X0)
| rp(X0,sK2(X0)) ),
inference(prop_impl_just,[status(thm)],[c_55]) ).
cnf(c_100,plain,
( ~ cc(X0)
| rp(X0,sK1(X0)) ),
inference(prop_impl_just,[status(thm)],[c_56]) ).
cnf(c_118,plain,
( ~ sP0
| cc(sK3) ),
inference(prop_impl_just,[status(thm)],[c_63]) ).
cnf(c_171,plain,
( cowlNothing(sK9)
| cc(sK7)
| sP0 ),
inference(backward_subsumption_resolution,[status(thm)],[c_83,c_50]) ).
cnf(c_172,plain,
( ~ rp(sK7,X0)
| ~ rp(sK7,X1)
| X0 = X1
| cowlNothing(sK9)
| sP0 ),
inference(backward_subsumption_resolution,[status(thm)],[c_91,c_50]) ).
cnf(c_176,plain,
( ~ rp(sK7,X0)
| ~ rp(sK7,X1)
| X0 = X1
| sP0 ),
inference(backward_subsumption_resolution,[status(thm)],[c_172,c_49]) ).
cnf(c_177,plain,
( cc(sK7)
| sP0 ),
inference(backward_subsumption_resolution,[status(thm)],[c_171,c_49]) ).
cnf(c_354,plain,
( X0 != sK3
| ~ rp(X0,X1)
| ~ rp(X0,X2)
| ~ rp(X0,X3)
| ~ sP0
| X1 = X2
| X1 = X3
| X2 = X3 ),
inference(resolution_lifted,[status(thm)],[c_53,c_118]) ).
cnf(c_355,plain,
( ~ rp(sK3,X0)
| ~ rp(sK3,X1)
| ~ rp(sK3,X2)
| ~ sP0
| X0 = X1
| X0 = X2
| X1 = X2 ),
inference(unflattening,[status(thm)],[c_354]) ).
cnf(c_378,plain,
( X0 != sK7
| rp(X0,sK1(X0))
| sP0 ),
inference(resolution_lifted,[status(thm)],[c_100,c_177]) ).
cnf(c_379,plain,
( rp(sK7,sK1(sK7))
| sP0 ),
inference(unflattening,[status(thm)],[c_378]) ).
cnf(c_386,plain,
( X0 != sK7
| rp(X0,sK2(X0))
| sP0 ),
inference(resolution_lifted,[status(thm)],[c_98,c_177]) ).
cnf(c_387,plain,
( rp(sK7,sK2(sK7))
| sP0 ),
inference(unflattening,[status(thm)],[c_386]) ).
cnf(c_394,plain,
( sK1(X0) != sK2(X0)
| X0 != sK7
| sP0 ),
inference(resolution_lifted,[status(thm)],[c_97,c_177]) ).
cnf(c_395,plain,
( sK1(sK7) != sK2(sK7)
| sP0 ),
inference(unflattening,[status(thm)],[c_394]) ).
cnf(c_1830,plain,
( ~ rp(sK7,X0)
| sK1(sK7) = X0
| sP0 ),
inference(superposition,[status(thm)],[c_379,c_176]) ).
cnf(c_1839,plain,
( ~ rp(sK7,X0)
| sK2(sK7) = X0
| sP0 ),
inference(superposition,[status(thm)],[c_387,c_176]) ).
cnf(c_1855,plain,
( sK1(sK7) = sK2(sK7)
| sP0 ),
inference(superposition,[status(thm)],[c_387,c_1830]) ).
cnf(c_1858,plain,
sP0,
inference(global_subsumption_just,[status(thm)],[c_1839,c_395,c_1855]) ).
cnf(c_1862,plain,
rp(sK3,sK6),
inference(global_subsumption_just,[status(thm)],[c_60,c_60,c_395,c_1855]) ).
cnf(c_1866,plain,
rp(sK3,sK5),
inference(global_subsumption_just,[status(thm)],[c_61,c_61,c_1858]) ).
cnf(c_1868,plain,
rp(sK3,sK4),
inference(global_subsumption_just,[status(thm)],[c_62,c_62,c_395,c_1855]) ).
cnf(c_1870,plain,
sK5 != sK6,
inference(global_subsumption_just,[status(thm)],[c_57,c_57,c_395,c_1855]) ).
cnf(c_1872,plain,
sK6 != sK4,
inference(global_subsumption_just,[status(thm)],[c_58,c_58,c_395,c_1855]) ).
cnf(c_1876,plain,
sK5 != sK4,
inference(global_subsumption_just,[status(thm)],[c_59,c_59,c_395,c_1855]) ).
cnf(c_1880,plain,
( ~ rp(sK3,X2)
| ~ rp(sK3,X1)
| ~ rp(sK3,X0)
| X0 = X1
| X0 = X2
| X1 = X2 ),
inference(global_subsumption_just,[status(thm)],[c_355,c_355,c_395,c_1855]) ).
cnf(c_1881,plain,
( ~ rp(sK3,X0)
| ~ rp(sK3,X1)
| ~ rp(sK3,X2)
| X0 = X1
| X0 = X2
| X1 = X2 ),
inference(renaming,[status(thm)],[c_1880]) ).
cnf(c_1888,plain,
( ~ rp(sK3,X0)
| ~ rp(sK3,X1)
| X0 = X1
| X0 = sK6
| X1 = sK6 ),
inference(superposition,[status(thm)],[c_1862,c_1881]) ).
cnf(c_1930,plain,
( ~ rp(sK3,X0)
| X0 = sK6
| X0 = sK4
| sK6 = sK4 ),
inference(superposition,[status(thm)],[c_1868,c_1888]) ).
cnf(c_1933,plain,
( ~ rp(sK3,X0)
| X0 = sK6
| X0 = sK4 ),
inference(forward_subsumption_resolution,[status(thm)],[c_1930,c_1872]) ).
cnf(c_1960,plain,
( sK5 = sK6
| sK5 = sK4 ),
inference(superposition,[status(thm)],[c_1866,c_1933]) ).
cnf(c_1964,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1960,c_1876,c_1870]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : KRS144+1 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.12 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu May 2 22:52:31 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 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
% 0.52/1.21 % SZS status Started for theBenchmark.p
% 0.52/1.21 % SZS status Theorem for theBenchmark.p
% 0.52/1.21
% 0.52/1.21 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.52/1.21
% 0.52/1.21 ------ iProver source info
% 0.52/1.21
% 0.52/1.21 git: date: 2024-05-02 19:28:25 +0000
% 0.52/1.21 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.52/1.21 git: non_committed_changes: false
% 0.52/1.21
% 0.52/1.21 ------ Parsing...
% 0.52/1.21 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.52/1.21
% 0.52/1.21 ------ Preprocessing... sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 0.52/1.21
% 0.52/1.21 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.52/1.21
% 0.52/1.21 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.52/1.21 ------ Proving...
% 0.52/1.21 ------ Problem Properties
% 0.52/1.21
% 0.52/1.21
% 0.52/1.21 clauses 14
% 0.52/1.21 conjectures 0
% 0.52/1.21 EPR 8
% 0.52/1.21 Horn 10
% 0.52/1.21 unary 0
% 0.52/1.21 binary 12
% 0.52/1.21 lits 35
% 0.52/1.21 lits eq 9
% 0.52/1.21 fd_pure 0
% 0.52/1.21 fd_pseudo 0
% 0.52/1.21 fd_cond 0
% 0.52/1.21 fd_pseudo_cond 2
% 0.52/1.21 AC symbols 0
% 0.52/1.21
% 0.52/1.21 ------ Schedule dynamic 5 is on
% 0.52/1.21
% 0.52/1.21 ------ no conjectures: strip conj schedule
% 0.52/1.21
% 0.52/1.21 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 0.52/1.21
% 0.52/1.21
% 0.52/1.21 ------
% 0.52/1.21 Current options:
% 0.52/1.21 ------
% 0.52/1.21
% 0.52/1.21
% 0.52/1.21
% 0.52/1.21
% 0.52/1.21 ------ Proving...
% 0.52/1.21
% 0.52/1.21
% 0.52/1.21 % SZS status Theorem for theBenchmark.p
% 0.52/1.21
% 0.52/1.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.52/1.21
% 0.52/1.21
%------------------------------------------------------------------------------