TSTP Solution File: KRS167+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : KRS167+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% 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 : Fri May 3 02:33:50 EDT 2024
% Result : Theorem 2.02s 1.14s
% Output : CNFRefutation 2.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 12
% Syntax : Number of formulae : 113 ( 6 unt; 0 def)
% Number of atoms : 464 ( 44 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 562 ( 211 ~; 250 |; 72 &)
% ( 16 <=>; 11 =>; 0 <=; 2 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-1 aty)
% Number of variables : 193 ( 12 sgn 98 !; 41 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X3] :
( ~ cowlNothing(X3)
& cowlThing(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f10,axiom,
! [X3] :
( xsd_string(X3)
<=> ~ xsd_integer(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f11,axiom,
! [X3] :
( cc1(X3)
<=> ( ! [X4,X5] :
( ( rp(X3,X5)
& rp(X3,X4) )
=> X4 = X5 )
& ? [X4] : rp(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f12,axiom,
! [X3] :
( cc2(X3)
<=> ( ! [X4,X5] :
( ( rp(X3,X5)
& rp(X3,X4) )
=> X4 = X5 )
& ? [X4] : rp(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f13,conjecture,
( ! [X3] :
( cc1(X3)
<=> cc2(X3) )
& ! [X3] :
( xsd_string(X3)
<=> ~ xsd_integer(X3) )
& ! [X3] :
( ~ cowlNothing(X3)
& cowlThing(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f14,negated_conjecture,
~ ( ! [X3] :
( cc1(X3)
<=> cc2(X3) )
& ! [X3] :
( xsd_string(X3)
<=> ~ xsd_integer(X3) )
& ! [X3] :
( ~ cowlNothing(X3)
& cowlThing(X3) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f15,plain,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
inference(rectify,[],[f9]) ).
fof(f16,plain,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
inference(rectify,[],[f10]) ).
fof(f17,plain,
! [X0] :
( cc1(X0)
<=> ( ! [X1,X2] :
( ( rp(X0,X2)
& rp(X0,X1) )
=> X1 = X2 )
& ? [X3] : rp(X0,X3) ) ),
inference(rectify,[],[f11]) ).
fof(f18,plain,
! [X0] :
( cc2(X0)
<=> ( ! [X1,X2] :
( ( rp(X0,X2)
& rp(X0,X1) )
=> X1 = X2 )
& ? [X3] : rp(X0,X3) ) ),
inference(rectify,[],[f12]) ).
fof(f19,plain,
~ ( ! [X0] :
( cc1(X0)
<=> cc2(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X2] :
( ~ cowlNothing(X2)
& cowlThing(X2) ) ),
inference(rectify,[],[f14]) ).
fof(f36,plain,
! [X0] :
( cc1(X0)
<=> ( ! [X1,X2] :
( X1 = X2
| ~ rp(X0,X2)
| ~ rp(X0,X1) )
& ? [X3] : rp(X0,X3) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f37,plain,
! [X0] :
( cc1(X0)
<=> ( ! [X1,X2] :
( X1 = X2
| ~ rp(X0,X2)
| ~ rp(X0,X1) )
& ? [X3] : rp(X0,X3) ) ),
inference(flattening,[],[f36]) ).
fof(f38,plain,
! [X0] :
( cc2(X0)
<=> ( ! [X1,X2] :
( X1 = X2
| ~ rp(X0,X2)
| ~ rp(X0,X1) )
& ? [X3] : rp(X0,X3) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f39,plain,
! [X0] :
( cc2(X0)
<=> ( ! [X1,X2] :
( X1 = X2
| ~ rp(X0,X2)
| ~ rp(X0,X1) )
& ? [X3] : rp(X0,X3) ) ),
inference(flattening,[],[f38]) ).
fof(f40,plain,
( ? [X0] :
( cc1(X0)
<~> cc2(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X2] :
( cowlNothing(X2)
| ~ cowlThing(X2) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f41,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f42,plain,
! [X0] :
( ( cc1(X0)
| ? [X1,X2] :
( X1 != X2
& rp(X0,X2)
& rp(X0,X1) )
| ! [X3] : ~ rp(X0,X3) )
& ( ( ! [X1,X2] :
( X1 = X2
| ~ rp(X0,X2)
| ~ rp(X0,X1) )
& ? [X3] : rp(X0,X3) )
| ~ cc1(X0) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f43,plain,
! [X0] :
( ( cc1(X0)
| ? [X1,X2] :
( X1 != X2
& rp(X0,X2)
& rp(X0,X1) )
| ! [X3] : ~ rp(X0,X3) )
& ( ( ! [X1,X2] :
( X1 = X2
| ~ rp(X0,X2)
| ~ rp(X0,X1) )
& ? [X3] : rp(X0,X3) )
| ~ cc1(X0) ) ),
inference(flattening,[],[f42]) ).
fof(f44,plain,
! [X0] :
( ( cc1(X0)
| ? [X1,X2] :
( X1 != X2
& rp(X0,X2)
& rp(X0,X1) )
| ! [X3] : ~ rp(X0,X3) )
& ( ( ! [X4,X5] :
( X4 = X5
| ~ rp(X0,X5)
| ~ rp(X0,X4) )
& ? [X6] : rp(X0,X6) )
| ~ cc1(X0) ) ),
inference(rectify,[],[f43]) ).
fof(f45,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& rp(X0,X2)
& rp(X0,X1) )
=> ( sK0(X0) != sK1(X0)
& rp(X0,sK1(X0))
& rp(X0,sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
! [X0] :
( ? [X6] : rp(X0,X6)
=> rp(X0,sK2(X0)) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X0] :
( ( cc1(X0)
| ( sK0(X0) != sK1(X0)
& rp(X0,sK1(X0))
& rp(X0,sK0(X0)) )
| ! [X3] : ~ rp(X0,X3) )
& ( ( ! [X4,X5] :
( X4 = X5
| ~ rp(X0,X5)
| ~ rp(X0,X4) )
& rp(X0,sK2(X0)) )
| ~ cc1(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f44,f46,f45]) ).
fof(f48,plain,
! [X0] :
( ( cc2(X0)
| ? [X1,X2] :
( X1 != X2
& rp(X0,X2)
& rp(X0,X1) )
| ! [X3] : ~ rp(X0,X3) )
& ( ( ! [X1,X2] :
( X1 = X2
| ~ rp(X0,X2)
| ~ rp(X0,X1) )
& ? [X3] : rp(X0,X3) )
| ~ cc2(X0) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f49,plain,
! [X0] :
( ( cc2(X0)
| ? [X1,X2] :
( X1 != X2
& rp(X0,X2)
& rp(X0,X1) )
| ! [X3] : ~ rp(X0,X3) )
& ( ( ! [X1,X2] :
( X1 = X2
| ~ rp(X0,X2)
| ~ rp(X0,X1) )
& ? [X3] : rp(X0,X3) )
| ~ cc2(X0) ) ),
inference(flattening,[],[f48]) ).
fof(f50,plain,
! [X0] :
( ( cc2(X0)
| ? [X1,X2] :
( X1 != X2
& rp(X0,X2)
& rp(X0,X1) )
| ! [X3] : ~ rp(X0,X3) )
& ( ( ! [X4,X5] :
( X4 = X5
| ~ rp(X0,X5)
| ~ rp(X0,X4) )
& ? [X6] : rp(X0,X6) )
| ~ cc2(X0) ) ),
inference(rectify,[],[f49]) ).
fof(f51,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& rp(X0,X2)
& rp(X0,X1) )
=> ( sK3(X0) != sK4(X0)
& rp(X0,sK4(X0))
& rp(X0,sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X0] :
( ? [X6] : rp(X0,X6)
=> rp(X0,sK5(X0)) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0] :
( ( cc2(X0)
| ( sK3(X0) != sK4(X0)
& rp(X0,sK4(X0))
& rp(X0,sK3(X0)) )
| ! [X3] : ~ rp(X0,X3) )
& ( ( ! [X4,X5] :
( X4 = X5
| ~ rp(X0,X5)
| ~ rp(X0,X4) )
& rp(X0,sK5(X0)) )
| ~ cc2(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f50,f52,f51]) ).
fof(f54,plain,
( ? [X0] :
( ( ~ cc2(X0)
| ~ cc1(X0) )
& ( cc2(X0)
| cc1(X0) ) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ? [X2] :
( cowlNothing(X2)
| ~ cowlThing(X2) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f55,plain,
( ? [X0] :
( ( ~ cc2(X0)
| ~ cc1(X0) )
& ( cc2(X0)
| cc1(X0) ) )
=> ( ( ~ cc2(sK6)
| ~ cc1(sK6) )
& ( cc2(sK6)
| cc1(sK6) ) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
( ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
=> ( ( xsd_integer(sK7)
| ~ xsd_string(sK7) )
& ( ~ xsd_integer(sK7)
| xsd_string(sK7) ) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
( ? [X2] :
( cowlNothing(X2)
| ~ cowlThing(X2) )
=> ( cowlNothing(sK8)
| ~ cowlThing(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
( ( ( ~ cc2(sK6)
| ~ cc1(sK6) )
& ( cc2(sK6)
| cc1(sK6) ) )
| ( ( xsd_integer(sK7)
| ~ xsd_string(sK7) )
& ( ~ xsd_integer(sK7)
| xsd_string(sK7) ) )
| cowlNothing(sK8)
| ~ cowlThing(sK8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f54,f57,f56,f55]) ).
fof(f67,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f15]) ).
fof(f68,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f15]) ).
fof(f69,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f70,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f71,plain,
! [X0] :
( rp(X0,sK2(X0))
| ~ cc1(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f72,plain,
! [X0,X4,X5] :
( X4 = X5
| ~ rp(X0,X5)
| ~ rp(X0,X4)
| ~ cc1(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f73,plain,
! [X3,X0] :
( cc1(X0)
| rp(X0,sK0(X0))
| ~ rp(X0,X3) ),
inference(cnf_transformation,[],[f47]) ).
fof(f74,plain,
! [X3,X0] :
( cc1(X0)
| rp(X0,sK1(X0))
| ~ rp(X0,X3) ),
inference(cnf_transformation,[],[f47]) ).
fof(f75,plain,
! [X3,X0] :
( cc1(X0)
| sK0(X0) != sK1(X0)
| ~ rp(X0,X3) ),
inference(cnf_transformation,[],[f47]) ).
fof(f76,plain,
! [X0] :
( rp(X0,sK5(X0))
| ~ cc2(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f77,plain,
! [X0,X4,X5] :
( X4 = X5
| ~ rp(X0,X5)
| ~ rp(X0,X4)
| ~ cc2(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f78,plain,
! [X3,X0] :
( cc2(X0)
| rp(X0,sK3(X0))
| ~ rp(X0,X3) ),
inference(cnf_transformation,[],[f53]) ).
fof(f79,plain,
! [X3,X0] :
( cc2(X0)
| rp(X0,sK4(X0))
| ~ rp(X0,X3) ),
inference(cnf_transformation,[],[f53]) ).
fof(f80,plain,
! [X3,X0] :
( cc2(X0)
| sK3(X0) != sK4(X0)
| ~ rp(X0,X3) ),
inference(cnf_transformation,[],[f53]) ).
fof(f81,plain,
( cc2(sK6)
| cc1(sK6)
| ~ xsd_integer(sK7)
| xsd_string(sK7)
| cowlNothing(sK8)
| ~ cowlThing(sK8) ),
inference(cnf_transformation,[],[f58]) ).
fof(f82,plain,
( cc2(sK6)
| cc1(sK6)
| xsd_integer(sK7)
| ~ xsd_string(sK7)
| cowlNothing(sK8)
| ~ cowlThing(sK8) ),
inference(cnf_transformation,[],[f58]) ).
fof(f83,plain,
( ~ cc2(sK6)
| ~ cc1(sK6)
| ~ xsd_integer(sK7)
| xsd_string(sK7)
| cowlNothing(sK8)
| ~ cowlThing(sK8) ),
inference(cnf_transformation,[],[f58]) ).
fof(f84,plain,
( ~ cc2(sK6)
| ~ cc1(sK6)
| xsd_integer(sK7)
| ~ xsd_string(sK7)
| cowlNothing(sK8)
| ~ cowlThing(sK8) ),
inference(cnf_transformation,[],[f58]) ).
cnf(c_49,plain,
~ cowlNothing(X0),
inference(cnf_transformation,[],[f68]) ).
cnf(c_50,plain,
cowlThing(X0),
inference(cnf_transformation,[],[f67]) ).
cnf(c_51,plain,
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f70]) ).
cnf(c_52,plain,
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f69]) ).
cnf(c_53,plain,
( sK0(X0) != sK1(X0)
| ~ rp(X0,X1)
| cc1(X0) ),
inference(cnf_transformation,[],[f75]) ).
cnf(c_54,plain,
( ~ rp(X0,X1)
| rp(X0,sK1(X0))
| cc1(X0) ),
inference(cnf_transformation,[],[f74]) ).
cnf(c_55,plain,
( ~ rp(X0,X1)
| rp(X0,sK0(X0))
| cc1(X0) ),
inference(cnf_transformation,[],[f73]) ).
cnf(c_56,plain,
( ~ rp(X0,X1)
| ~ rp(X0,X2)
| ~ cc1(X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f72]) ).
cnf(c_57,plain,
( ~ cc1(X0)
| rp(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f71]) ).
cnf(c_58,plain,
( sK3(X0) != sK4(X0)
| ~ rp(X0,X1)
| cc2(X0) ),
inference(cnf_transformation,[],[f80]) ).
cnf(c_59,plain,
( ~ rp(X0,X1)
| rp(X0,sK4(X0))
| cc2(X0) ),
inference(cnf_transformation,[],[f79]) ).
cnf(c_60,plain,
( ~ rp(X0,X1)
| rp(X0,sK3(X0))
| cc2(X0) ),
inference(cnf_transformation,[],[f78]) ).
cnf(c_61,plain,
( ~ rp(X0,X1)
| ~ rp(X0,X2)
| ~ cc2(X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f77]) ).
cnf(c_62,plain,
( ~ cc2(X0)
| rp(X0,sK5(X0)) ),
inference(cnf_transformation,[],[f76]) ).
cnf(c_63,negated_conjecture,
( ~ cowlThing(sK8)
| ~ xsd_string(sK7)
| ~ cc1(sK6)
| ~ cc2(sK6)
| cowlNothing(sK8)
| xsd_integer(sK7) ),
inference(cnf_transformation,[],[f84]) ).
cnf(c_64,negated_conjecture,
( ~ cowlThing(sK8)
| ~ xsd_integer(sK7)
| ~ cc1(sK6)
| ~ cc2(sK6)
| cowlNothing(sK8)
| xsd_string(sK7) ),
inference(cnf_transformation,[],[f83]) ).
cnf(c_65,negated_conjecture,
( ~ cowlThing(sK8)
| ~ xsd_string(sK7)
| cowlNothing(sK8)
| xsd_integer(sK7)
| cc1(sK6)
| cc2(sK6) ),
inference(cnf_transformation,[],[f82]) ).
cnf(c_66,negated_conjecture,
( ~ cowlThing(sK8)
| ~ xsd_integer(sK7)
| cowlNothing(sK8)
| xsd_string(sK7)
| cc1(sK6)
| cc2(sK6) ),
inference(cnf_transformation,[],[f81]) ).
cnf(c_81,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(prop_impl_just,[status(thm)],[c_52]) ).
cnf(c_82,plain,
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(renaming,[status(thm)],[c_81]) ).
cnf(c_83,plain,
( xsd_integer(X0)
| xsd_string(X0) ),
inference(prop_impl_just,[status(thm)],[c_51]) ).
cnf(c_84,plain,
( xsd_string(X0)
| xsd_integer(X0) ),
inference(renaming,[status(thm)],[c_83]) ).
cnf(c_128,plain,
( ~ xsd_integer(sK7)
| cowlNothing(sK8)
| xsd_string(sK7)
| cc1(sK6)
| cc2(sK6) ),
inference(backward_subsumption_resolution,[status(thm)],[c_66,c_50]) ).
cnf(c_129,plain,
( ~ xsd_string(sK7)
| cowlNothing(sK8)
| xsd_integer(sK7)
| cc1(sK6)
| cc2(sK6) ),
inference(backward_subsumption_resolution,[status(thm)],[c_65,c_50]) ).
cnf(c_130,plain,
( ~ xsd_integer(sK7)
| ~ cc1(sK6)
| ~ cc2(sK6)
| cowlNothing(sK8)
| xsd_string(sK7) ),
inference(backward_subsumption_resolution,[status(thm)],[c_64,c_50]) ).
cnf(c_131,plain,
( ~ xsd_string(sK7)
| ~ cc1(sK6)
| ~ cc2(sK6)
| cowlNothing(sK8)
| xsd_integer(sK7) ),
inference(backward_subsumption_resolution,[status(thm)],[c_63,c_50]) ).
cnf(c_134,plain,
( ~ xsd_string(sK7)
| ~ cc1(sK6)
| ~ cc2(sK6)
| xsd_integer(sK7) ),
inference(backward_subsumption_resolution,[status(thm)],[c_131,c_49]) ).
cnf(c_135,plain,
( ~ xsd_integer(sK7)
| ~ cc1(sK6)
| ~ cc2(sK6)
| xsd_string(sK7) ),
inference(backward_subsumption_resolution,[status(thm)],[c_130,c_49]) ).
cnf(c_136,plain,
( ~ xsd_string(sK7)
| xsd_integer(sK7)
| cc1(sK6)
| cc2(sK6) ),
inference(backward_subsumption_resolution,[status(thm)],[c_129,c_49]) ).
cnf(c_137,plain,
( ~ xsd_integer(sK7)
| xsd_string(sK7)
| cc1(sK6)
| cc2(sK6) ),
inference(backward_subsumption_resolution,[status(thm)],[c_128,c_49]) ).
cnf(c_141,plain,
( xsd_integer(sK7)
| cc1(sK6)
| cc2(sK6) ),
inference(backward_subsumption_resolution,[status(thm)],[c_136,c_84]) ).
cnf(c_142,plain,
( ~ cc1(sK6)
| ~ cc2(sK6)
| xsd_integer(sK7) ),
inference(backward_subsumption_resolution,[status(thm)],[c_134,c_84]) ).
cnf(c_144,plain,
( xsd_string(sK7)
| cc1(sK6)
| cc2(sK6) ),
inference(backward_subsumption_resolution,[status(thm)],[c_137,c_84]) ).
cnf(c_145,plain,
( ~ cc1(sK6)
| ~ cc2(sK6)
| xsd_string(sK7) ),
inference(backward_subsumption_resolution,[status(thm)],[c_135,c_84]) ).
cnf(c_334,plain,
( X0 != sK7
| ~ xsd_integer(X0)
| ~ cc1(sK6)
| ~ cc2(sK6) ),
inference(resolution_lifted,[status(thm)],[c_82,c_145]) ).
cnf(c_335,plain,
( ~ xsd_integer(sK7)
| ~ cc1(sK6)
| ~ cc2(sK6) ),
inference(unflattening,[status(thm)],[c_334]) ).
cnf(c_336,plain,
( ~ cc1(sK6)
| ~ cc2(sK6) ),
inference(global_subsumption_just,[status(thm)],[c_335,c_142,c_335]) ).
cnf(c_344,plain,
( X0 != sK7
| ~ xsd_integer(X0)
| cc1(sK6)
| cc2(sK6) ),
inference(resolution_lifted,[status(thm)],[c_82,c_144]) ).
cnf(c_345,plain,
( ~ xsd_integer(sK7)
| cc1(sK6)
| cc2(sK6) ),
inference(unflattening,[status(thm)],[c_344]) ).
cnf(c_346,plain,
( cc1(sK6)
| cc2(sK6) ),
inference(global_subsumption_just,[status(thm)],[c_345,c_141,c_345]) ).
cnf(c_735,plain,
( cc2(sK6)
| cc1(sK6) ),
inference(prop_impl_just,[status(thm)],[c_346]) ).
cnf(c_736,plain,
( cc1(sK6)
| cc2(sK6) ),
inference(renaming,[status(thm)],[c_735]) ).
cnf(c_1563,plain,
( ~ cc2(X0)
| rp(X0,sK1(X0))
| cc1(X0) ),
inference(superposition,[status(thm)],[c_62,c_54]) ).
cnf(c_1583,plain,
( ~ cc2(X0)
| rp(X0,sK0(X0))
| cc1(X0) ),
inference(superposition,[status(thm)],[c_62,c_55]) ).
cnf(c_1610,plain,
( ~ cc1(X0)
| rp(X0,sK4(X0))
| cc2(X0) ),
inference(superposition,[status(thm)],[c_57,c_59]) ).
cnf(c_1624,plain,
( ~ cc1(X0)
| rp(X0,sK3(X0))
| cc2(X0) ),
inference(superposition,[status(thm)],[c_57,c_60]) ).
cnf(c_1662,plain,
( ~ rp(X0,X1)
| ~ cc1(X0)
| sK4(X0) = X1
| cc2(X0) ),
inference(superposition,[status(thm)],[c_1610,c_56]) ).
cnf(c_1678,plain,
( ~ rp(X0,X1)
| ~ cc1(X0)
| sK3(X0) = X1
| cc2(X0) ),
inference(superposition,[status(thm)],[c_1624,c_56]) ).
cnf(c_1742,plain,
( ~ cc1(X0)
| sK3(X0) = sK4(X0)
| cc2(X0) ),
inference(superposition,[status(thm)],[c_1624,c_1662]) ).
cnf(c_1754,plain,
( ~ cc1(X0)
| ~ rp(X0,X1)
| cc2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1678,c_58,c_1742]) ).
cnf(c_1755,plain,
( ~ rp(X0,X1)
| ~ cc1(X0)
| cc2(X0) ),
inference(renaming,[status(thm)],[c_1754]) ).
cnf(c_1764,plain,
( ~ cc1(X0)
| cc2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1610,c_1755]) ).
cnf(c_1776,plain,
cc2(sK6),
inference(backward_subsumption_resolution,[status(thm)],[c_736,c_1764]) ).
cnf(c_1793,plain,
( ~ rp(X0,X1)
| ~ cc2(X0)
| sK1(X0) = X1
| cc1(X0) ),
inference(superposition,[status(thm)],[c_1563,c_61]) ).
cnf(c_1794,plain,
( ~ rp(X0,X1)
| ~ cc2(X0)
| sK0(X0) = X1
| cc1(X0) ),
inference(superposition,[status(thm)],[c_1583,c_61]) ).
cnf(c_1842,plain,
( ~ cc2(X0)
| sK0(X0) = sK1(X0)
| cc1(X0) ),
inference(superposition,[status(thm)],[c_1583,c_1793]) ).
cnf(c_1849,plain,
( ~ cc2(X0)
| ~ rp(X0,X1)
| cc1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1794,c_53,c_1842]) ).
cnf(c_1850,plain,
( ~ rp(X0,X1)
| ~ cc2(X0)
| cc1(X0) ),
inference(renaming,[status(thm)],[c_1849]) ).
cnf(c_1859,plain,
( ~ cc2(X0)
| cc1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1583,c_1850]) ).
cnf(c_1862,plain,
( ~ cc2(sK6)
| cc1(sK6) ),
inference(instantiation,[status(thm)],[c_1859]) ).
cnf(c_1863,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1862,c_1776,c_336]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : KRS167+1 : TPTP v8.1.2. Released v3.1.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n025.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 : Thu May 2 22:52:58 EDT 2024
% 0.12/0.33 % 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
% 2.02/1.14 % SZS status Started for theBenchmark.p
% 2.02/1.14 % SZS status Theorem for theBenchmark.p
% 2.02/1.14
% 2.02/1.14 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.02/1.14
% 2.02/1.14 ------ iProver source info
% 2.02/1.14
% 2.02/1.14 git: date: 2024-05-02 19:28:25 +0000
% 2.02/1.14 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.02/1.14 git: non_committed_changes: false
% 2.02/1.14
% 2.02/1.14 ------ Parsing...
% 2.02/1.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.02/1.14
% 2.02/1.14 ------ Preprocessing... sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e
% 2.02/1.14
% 2.02/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.02/1.14
% 2.02/1.14 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.02/1.14 ------ Proving...
% 2.02/1.14 ------ Problem Properties
% 2.02/1.14
% 2.02/1.14
% 2.02/1.14 clauses 12
% 2.02/1.14 conjectures 0
% 2.02/1.14 EPR 4
% 2.02/1.14 Horn 7
% 2.02/1.14 unary 0
% 2.02/1.14 binary 4
% 2.02/1.14 lits 34
% 2.02/1.14 lits eq 4
% 2.02/1.14 fd_pure 0
% 2.02/1.14 fd_pseudo 0
% 2.02/1.14 fd_cond 0
% 2.02/1.14 fd_pseudo_cond 2
% 2.02/1.14 AC symbols 0
% 2.02/1.14
% 2.02/1.14 ------ Schedule dynamic 5 is on
% 2.02/1.14
% 2.02/1.14 ------ no conjectures: strip conj schedule
% 2.02/1.14
% 2.02/1.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.02/1.14
% 2.02/1.14
% 2.02/1.14 ------
% 2.02/1.14 Current options:
% 2.02/1.14 ------
% 2.02/1.14
% 2.02/1.14
% 2.02/1.14
% 2.02/1.14
% 2.02/1.14 ------ Proving...
% 2.02/1.14
% 2.02/1.14
% 2.02/1.14 % SZS status Theorem for theBenchmark.p
% 2.02/1.14
% 2.02/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.02/1.14
% 2.02/1.14
%------------------------------------------------------------------------------