TSTP Solution File: KRS132+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : KRS132+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n011.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 02:33:43 EDT 2024
% Result : Theorem 0.79s 1.12s
% Output : CNFRefutation 0.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 22
% Syntax : Number of formulae : 175 ( 8 unt; 0 def)
% Number of atoms : 629 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 748 ( 294 ~; 337 |; 82 &)
% ( 17 <=>; 16 =>; 0 <=; 2 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-1 aty)
% Number of variables : 218 ( 12 sgn 108 !; 38 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f2,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f3,axiom,
! [X0] :
( cA(X0)
<=> ? [X1] :
( cowlThing(X1)
& rq(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,axiom,
! [X0] :
( cAorB(X0)
<=> ? [X1] :
( cowlThing(X1)
& rs(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f5,axiom,
! [X0] :
( cB(X0)
<=> ? [X1] :
( cowlThing(X1)
& rr(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f6,axiom,
! [X0] :
( cNothing(X0)
=> ? [X2] : rp(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f7,axiom,
! [X0] :
( cNothing(X0)
=> ~ ? [X1] : rp(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f8,axiom,
! [X0] :
( cnotA(X0)
<=> ! [X1] :
( rq(X0,X1)
=> cNothing(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f9,axiom,
! [X0] :
( cnotAorB(X0)
<=> ! [X1] :
( rs(X0,X1)
=> cNothing(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f10,axiom,
! [X0] :
( cnotAorB(X0)
<=> ( cnotA(X0)
& cnotB(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f11,axiom,
! [X0] :
( cnotB(X0)
<=> ! [X1] :
( rr(X0,X1)
=> cNothing(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(f12,conjecture,
( ! [X0] :
( cAorB(X0)
<=> ( cA(X0)
| cB(X0) ) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f13,negated_conjecture,
~ ( ! [X0] :
( cAorB(X0)
<=> ( cA(X0)
| cB(X0) ) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f14,plain,
! [X0] :
( cNothing(X0)
=> ? [X1] : rp(X0,X1) ),
inference(rectify,[],[f6]) ).
fof(f15,plain,
~ ( ! [X0] :
( cAorB(X0)
<=> ( cA(X0)
| cB(X0) ) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X2] :
( ~ cowlNothing(X2)
& cowlThing(X2) ) ),
inference(rectify,[],[f13]) ).
fof(f16,plain,
! [X0] :
( ? [X1] : rp(X0,X1)
| ~ cNothing(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f17,plain,
! [X0] :
( ! [X1] : ~ rp(X0,X1)
| ~ cNothing(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f18,plain,
! [X0] :
( cnotA(X0)
<=> ! [X1] :
( cNothing(X1)
| ~ rq(X0,X1) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f19,plain,
! [X0] :
( cnotAorB(X0)
<=> ! [X1] :
( cNothing(X1)
| ~ rs(X0,X1) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f20,plain,
! [X0] :
( cnotB(X0)
<=> ! [X1] :
( cNothing(X1)
| ~ rr(X0,X1) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f21,plain,
( ? [X0] :
( cAorB(X0)
<~> ( cA(X0)
| cB(X0) ) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X2] :
( cowlNothing(X2)
| ~ cowlThing(X2) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f22,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f23,plain,
! [X0] :
( ( cA(X0)
| ! [X1] :
( ~ cowlThing(X1)
| ~ rq(X0,X1) ) )
& ( ? [X1] :
( cowlThing(X1)
& rq(X0,X1) )
| ~ cA(X0) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f24,plain,
! [X0] :
( ( cA(X0)
| ! [X1] :
( ~ cowlThing(X1)
| ~ rq(X0,X1) ) )
& ( ? [X2] :
( cowlThing(X2)
& rq(X0,X2) )
| ~ cA(X0) ) ),
inference(rectify,[],[f23]) ).
fof(f25,plain,
! [X0] :
( ? [X2] :
( cowlThing(X2)
& rq(X0,X2) )
=> ( cowlThing(sK0(X0))
& rq(X0,sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X0] :
( ( cA(X0)
| ! [X1] :
( ~ cowlThing(X1)
| ~ rq(X0,X1) ) )
& ( ( cowlThing(sK0(X0))
& rq(X0,sK0(X0)) )
| ~ cA(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f24,f25]) ).
fof(f27,plain,
! [X0] :
( ( cAorB(X0)
| ! [X1] :
( ~ cowlThing(X1)
| ~ rs(X0,X1) ) )
& ( ? [X1] :
( cowlThing(X1)
& rs(X0,X1) )
| ~ cAorB(X0) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f28,plain,
! [X0] :
( ( cAorB(X0)
| ! [X1] :
( ~ cowlThing(X1)
| ~ rs(X0,X1) ) )
& ( ? [X2] :
( cowlThing(X2)
& rs(X0,X2) )
| ~ cAorB(X0) ) ),
inference(rectify,[],[f27]) ).
fof(f29,plain,
! [X0] :
( ? [X2] :
( cowlThing(X2)
& rs(X0,X2) )
=> ( cowlThing(sK1(X0))
& rs(X0,sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X0] :
( ( cAorB(X0)
| ! [X1] :
( ~ cowlThing(X1)
| ~ rs(X0,X1) ) )
& ( ( cowlThing(sK1(X0))
& rs(X0,sK1(X0)) )
| ~ cAorB(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f28,f29]) ).
fof(f31,plain,
! [X0] :
( ( cB(X0)
| ! [X1] :
( ~ cowlThing(X1)
| ~ rr(X0,X1) ) )
& ( ? [X1] :
( cowlThing(X1)
& rr(X0,X1) )
| ~ cB(X0) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f32,plain,
! [X0] :
( ( cB(X0)
| ! [X1] :
( ~ cowlThing(X1)
| ~ rr(X0,X1) ) )
& ( ? [X2] :
( cowlThing(X2)
& rr(X0,X2) )
| ~ cB(X0) ) ),
inference(rectify,[],[f31]) ).
fof(f33,plain,
! [X0] :
( ? [X2] :
( cowlThing(X2)
& rr(X0,X2) )
=> ( cowlThing(sK2(X0))
& rr(X0,sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X0] :
( ( cB(X0)
| ! [X1] :
( ~ cowlThing(X1)
| ~ rr(X0,X1) ) )
& ( ( cowlThing(sK2(X0))
& rr(X0,sK2(X0)) )
| ~ cB(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f32,f33]) ).
fof(f35,plain,
! [X0] :
( ? [X1] : rp(X0,X1)
=> rp(X0,sK3(X0)) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X0] :
( rp(X0,sK3(X0))
| ~ cNothing(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f16,f35]) ).
fof(f37,plain,
! [X0] :
( ( cnotA(X0)
| ? [X1] :
( ~ cNothing(X1)
& rq(X0,X1) ) )
& ( ! [X1] :
( cNothing(X1)
| ~ rq(X0,X1) )
| ~ cnotA(X0) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f38,plain,
! [X0] :
( ( cnotA(X0)
| ? [X1] :
( ~ cNothing(X1)
& rq(X0,X1) ) )
& ( ! [X2] :
( cNothing(X2)
| ~ rq(X0,X2) )
| ~ cnotA(X0) ) ),
inference(rectify,[],[f37]) ).
fof(f39,plain,
! [X0] :
( ? [X1] :
( ~ cNothing(X1)
& rq(X0,X1) )
=> ( ~ cNothing(sK4(X0))
& rq(X0,sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X0] :
( ( cnotA(X0)
| ( ~ cNothing(sK4(X0))
& rq(X0,sK4(X0)) ) )
& ( ! [X2] :
( cNothing(X2)
| ~ rq(X0,X2) )
| ~ cnotA(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f38,f39]) ).
fof(f41,plain,
! [X0] :
( ( cnotAorB(X0)
| ? [X1] :
( ~ cNothing(X1)
& rs(X0,X1) ) )
& ( ! [X1] :
( cNothing(X1)
| ~ rs(X0,X1) )
| ~ cnotAorB(X0) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f42,plain,
! [X0] :
( ( cnotAorB(X0)
| ? [X1] :
( ~ cNothing(X1)
& rs(X0,X1) ) )
& ( ! [X2] :
( cNothing(X2)
| ~ rs(X0,X2) )
| ~ cnotAorB(X0) ) ),
inference(rectify,[],[f41]) ).
fof(f43,plain,
! [X0] :
( ? [X1] :
( ~ cNothing(X1)
& rs(X0,X1) )
=> ( ~ cNothing(sK5(X0))
& rs(X0,sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0] :
( ( cnotAorB(X0)
| ( ~ cNothing(sK5(X0))
& rs(X0,sK5(X0)) ) )
& ( ! [X2] :
( cNothing(X2)
| ~ rs(X0,X2) )
| ~ cnotAorB(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f42,f43]) ).
fof(f45,plain,
! [X0] :
( ( cnotAorB(X0)
| ~ cnotA(X0)
| ~ cnotB(X0) )
& ( ( cnotA(X0)
& cnotB(X0) )
| ~ cnotAorB(X0) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f46,plain,
! [X0] :
( ( cnotAorB(X0)
| ~ cnotA(X0)
| ~ cnotB(X0) )
& ( ( cnotA(X0)
& cnotB(X0) )
| ~ cnotAorB(X0) ) ),
inference(flattening,[],[f45]) ).
fof(f47,plain,
! [X0] :
( ( cnotB(X0)
| ? [X1] :
( ~ cNothing(X1)
& rr(X0,X1) ) )
& ( ! [X1] :
( cNothing(X1)
| ~ rr(X0,X1) )
| ~ cnotB(X0) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f48,plain,
! [X0] :
( ( cnotB(X0)
| ? [X1] :
( ~ cNothing(X1)
& rr(X0,X1) ) )
& ( ! [X2] :
( cNothing(X2)
| ~ rr(X0,X2) )
| ~ cnotB(X0) ) ),
inference(rectify,[],[f47]) ).
fof(f49,plain,
! [X0] :
( ? [X1] :
( ~ cNothing(X1)
& rr(X0,X1) )
=> ( ~ cNothing(sK6(X0))
& rr(X0,sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X0] :
( ( cnotB(X0)
| ( ~ cNothing(sK6(X0))
& rr(X0,sK6(X0)) ) )
& ( ! [X2] :
( cNothing(X2)
| ~ rr(X0,X2) )
| ~ cnotB(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f48,f49]) ).
fof(f51,plain,
( ? [X0] :
( ( ( ~ cA(X0)
& ~ cB(X0) )
| ~ cAorB(X0) )
& ( cA(X0)
| cB(X0)
| cAorB(X0) ) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ? [X2] :
( cowlNothing(X2)
| ~ cowlThing(X2) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f52,plain,
( ? [X0] :
( ( ( ~ cA(X0)
& ~ cB(X0) )
| ~ cAorB(X0) )
& ( cA(X0)
| cB(X0)
| cAorB(X0) ) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ? [X2] :
( cowlNothing(X2)
| ~ cowlThing(X2) ) ),
inference(flattening,[],[f51]) ).
fof(f53,plain,
( ? [X0] :
( ( ( ~ cA(X0)
& ~ cB(X0) )
| ~ cAorB(X0) )
& ( cA(X0)
| cB(X0)
| cAorB(X0) ) )
=> ( ( ( ~ cA(sK7)
& ~ cB(sK7) )
| ~ cAorB(sK7) )
& ( cA(sK7)
| cB(sK7)
| cAorB(sK7) ) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
( ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
=> ( ( xsd_integer(sK8)
| ~ xsd_string(sK8) )
& ( ~ xsd_integer(sK8)
| xsd_string(sK8) ) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
( ? [X2] :
( cowlNothing(X2)
| ~ cowlThing(X2) )
=> ( cowlNothing(sK9)
| ~ cowlThing(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
( ( ( ( ~ cA(sK7)
& ~ cB(sK7) )
| ~ cAorB(sK7) )
& ( cA(sK7)
| cB(sK7)
| cAorB(sK7) ) )
| ( ( 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])],[f52,f55,f54,f53]) ).
fof(f57,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f58,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f59,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f60,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f61,plain,
! [X0] :
( rq(X0,sK0(X0))
| ~ cA(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f63,plain,
! [X0,X1] :
( cA(X0)
| ~ cowlThing(X1)
| ~ rq(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f64,plain,
! [X0] :
( rs(X0,sK1(X0))
| ~ cAorB(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f66,plain,
! [X0,X1] :
( cAorB(X0)
| ~ cowlThing(X1)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f67,plain,
! [X0] :
( rr(X0,sK2(X0))
| ~ cB(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f69,plain,
! [X0,X1] :
( cB(X0)
| ~ cowlThing(X1)
| ~ rr(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f70,plain,
! [X0] :
( rp(X0,sK3(X0))
| ~ cNothing(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f71,plain,
! [X0,X1] :
( ~ rp(X0,X1)
| ~ cNothing(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f72,plain,
! [X2,X0] :
( cNothing(X2)
| ~ rq(X0,X2)
| ~ cnotA(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f73,plain,
! [X0] :
( cnotA(X0)
| rq(X0,sK4(X0)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f75,plain,
! [X2,X0] :
( cNothing(X2)
| ~ rs(X0,X2)
| ~ cnotAorB(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f76,plain,
! [X0] :
( cnotAorB(X0)
| rs(X0,sK5(X0)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f78,plain,
! [X0] :
( cnotB(X0)
| ~ cnotAorB(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f79,plain,
! [X0] :
( cnotA(X0)
| ~ cnotAorB(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f80,plain,
! [X0] :
( cnotAorB(X0)
| ~ cnotA(X0)
| ~ cnotB(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f81,plain,
! [X2,X0] :
( cNothing(X2)
| ~ rr(X0,X2)
| ~ cnotB(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f82,plain,
! [X0] :
( cnotB(X0)
| rr(X0,sK6(X0)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f84,plain,
( cA(sK7)
| cB(sK7)
| cAorB(sK7)
| ~ xsd_integer(sK8)
| xsd_string(sK8)
| cowlNothing(sK9)
| ~ cowlThing(sK9) ),
inference(cnf_transformation,[],[f56]) ).
fof(f85,plain,
( cA(sK7)
| cB(sK7)
| cAorB(sK7)
| xsd_integer(sK8)
| ~ xsd_string(sK8)
| cowlNothing(sK9)
| ~ cowlThing(sK9) ),
inference(cnf_transformation,[],[f56]) ).
fof(f86,plain,
( ~ cB(sK7)
| ~ cAorB(sK7)
| ~ xsd_integer(sK8)
| xsd_string(sK8)
| cowlNothing(sK9)
| ~ cowlThing(sK9) ),
inference(cnf_transformation,[],[f56]) ).
fof(f87,plain,
( ~ cB(sK7)
| ~ cAorB(sK7)
| xsd_integer(sK8)
| ~ xsd_string(sK8)
| cowlNothing(sK9)
| ~ cowlThing(sK9) ),
inference(cnf_transformation,[],[f56]) ).
fof(f88,plain,
( ~ cA(sK7)
| ~ cAorB(sK7)
| ~ xsd_integer(sK8)
| xsd_string(sK8)
| cowlNothing(sK9)
| ~ cowlThing(sK9) ),
inference(cnf_transformation,[],[f56]) ).
fof(f89,plain,
( ~ cA(sK7)
| ~ cAorB(sK7)
| xsd_integer(sK8)
| ~ xsd_string(sK8)
| cowlNothing(sK9)
| ~ cowlThing(sK9) ),
inference(cnf_transformation,[],[f56]) ).
cnf(c_49,plain,
~ cowlNothing(X0),
inference(cnf_transformation,[],[f58]) ).
cnf(c_50,plain,
cowlThing(X0),
inference(cnf_transformation,[],[f57]) ).
cnf(c_51,plain,
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f60]) ).
cnf(c_52,plain,
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f59]) ).
cnf(c_53,plain,
( ~ rq(X0,X1)
| ~ cowlThing(X1)
| cA(X0) ),
inference(cnf_transformation,[],[f63]) ).
cnf(c_55,plain,
( ~ cA(X0)
| rq(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f61]) ).
cnf(c_56,plain,
( ~ rs(X0,X1)
| ~ cowlThing(X1)
| cAorB(X0) ),
inference(cnf_transformation,[],[f66]) ).
cnf(c_58,plain,
( ~ cAorB(X0)
| rs(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f64]) ).
cnf(c_59,plain,
( ~ rr(X0,X1)
| ~ cowlThing(X1)
| cB(X0) ),
inference(cnf_transformation,[],[f69]) ).
cnf(c_61,plain,
( ~ cB(X0)
| rr(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f67]) ).
cnf(c_62,plain,
( ~ cNothing(X0)
| rp(X0,sK3(X0)) ),
inference(cnf_transformation,[],[f70]) ).
cnf(c_63,plain,
( ~ rp(X0,X1)
| ~ cNothing(X0) ),
inference(cnf_transformation,[],[f71]) ).
cnf(c_65,plain,
( rq(X0,sK4(X0))
| cnotA(X0) ),
inference(cnf_transformation,[],[f73]) ).
cnf(c_66,plain,
( ~ rq(X0,X1)
| ~ cnotA(X0)
| cNothing(X1) ),
inference(cnf_transformation,[],[f72]) ).
cnf(c_68,plain,
( rs(X0,sK5(X0))
| cnotAorB(X0) ),
inference(cnf_transformation,[],[f76]) ).
cnf(c_69,plain,
( ~ rs(X0,X1)
| ~ cnotAorB(X0)
| cNothing(X1) ),
inference(cnf_transformation,[],[f75]) ).
cnf(c_70,plain,
( ~ cnotA(X0)
| ~ cnotB(X0)
| cnotAorB(X0) ),
inference(cnf_transformation,[],[f80]) ).
cnf(c_71,plain,
( ~ cnotAorB(X0)
| cnotA(X0) ),
inference(cnf_transformation,[],[f79]) ).
cnf(c_72,plain,
( ~ cnotAorB(X0)
| cnotB(X0) ),
inference(cnf_transformation,[],[f78]) ).
cnf(c_74,plain,
( rr(X0,sK6(X0))
| cnotB(X0) ),
inference(cnf_transformation,[],[f82]) ).
cnf(c_75,plain,
( ~ rr(X0,X1)
| ~ cnotB(X0)
| cNothing(X1) ),
inference(cnf_transformation,[],[f81]) ).
cnf(c_76,negated_conjecture,
( ~ cowlThing(sK9)
| ~ xsd_string(sK8)
| ~ cA(sK7)
| ~ cAorB(sK7)
| cowlNothing(sK9)
| xsd_integer(sK8) ),
inference(cnf_transformation,[],[f89]) ).
cnf(c_77,negated_conjecture,
( ~ cowlThing(sK9)
| ~ xsd_integer(sK8)
| ~ cA(sK7)
| ~ cAorB(sK7)
| cowlNothing(sK9)
| xsd_string(sK8) ),
inference(cnf_transformation,[],[f88]) ).
cnf(c_78,negated_conjecture,
( ~ cowlThing(sK9)
| ~ xsd_string(sK8)
| ~ cAorB(sK7)
| ~ cB(sK7)
| cowlNothing(sK9)
| xsd_integer(sK8) ),
inference(cnf_transformation,[],[f87]) ).
cnf(c_79,negated_conjecture,
( ~ cowlThing(sK9)
| ~ xsd_integer(sK8)
| ~ cAorB(sK7)
| ~ cB(sK7)
| cowlNothing(sK9)
| xsd_string(sK8) ),
inference(cnf_transformation,[],[f86]) ).
cnf(c_80,negated_conjecture,
( ~ cowlThing(sK9)
| ~ xsd_string(sK8)
| cowlNothing(sK9)
| xsd_integer(sK8)
| cA(sK7)
| cAorB(sK7)
| cB(sK7) ),
inference(cnf_transformation,[],[f85]) ).
cnf(c_81,negated_conjecture,
( ~ cowlThing(sK9)
| ~ xsd_integer(sK8)
| cowlNothing(sK9)
| xsd_string(sK8)
| cA(sK7)
| cAorB(sK7)
| cB(sK7) ),
inference(cnf_transformation,[],[f84]) ).
cnf(c_109,plain,
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(prop_impl_just,[status(thm)],[c_52]) ).
cnf(c_110,plain,
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(renaming,[status(thm)],[c_109]) ).
cnf(c_111,plain,
( xsd_integer(X0)
| xsd_string(X0) ),
inference(prop_impl_just,[status(thm)],[c_51]) ).
cnf(c_112,plain,
( xsd_string(X0)
| xsd_integer(X0) ),
inference(renaming,[status(thm)],[c_111]) ).
cnf(c_115,plain,
( ~ cA(X0)
| rq(X0,sK0(X0)) ),
inference(prop_impl_just,[status(thm)],[c_55]) ).
cnf(c_119,plain,
( ~ cAorB(X0)
| rs(X0,sK1(X0)) ),
inference(prop_impl_just,[status(thm)],[c_58]) ).
cnf(c_123,plain,
( ~ cB(X0)
| rr(X0,sK2(X0)) ),
inference(prop_impl_just,[status(thm)],[c_61]) ).
cnf(c_125,plain,
( ~ cNothing(X0)
| rp(X0,sK3(X0)) ),
inference(prop_impl_just,[status(thm)],[c_62]) ).
cnf(c_127,plain,
( ~ cNothing(X0)
| ~ rp(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_63]) ).
cnf(c_128,plain,
( ~ rp(X0,X1)
| ~ cNothing(X0) ),
inference(renaming,[status(thm)],[c_127]) ).
cnf(c_135,plain,
( cnotA(X0)
| rq(X0,sK4(X0)) ),
inference(prop_impl_just,[status(thm)],[c_65]) ).
cnf(c_136,plain,
( rq(X0,sK4(X0))
| cnotA(X0) ),
inference(renaming,[status(thm)],[c_135]) ).
cnf(c_137,plain,
( cnotA(X0)
| ~ cnotAorB(X0) ),
inference(prop_impl_just,[status(thm)],[c_71]) ).
cnf(c_138,plain,
( ~ cnotAorB(X0)
| cnotA(X0) ),
inference(renaming,[status(thm)],[c_137]) ).
cnf(c_141,plain,
( ~ cnotAorB(X0)
| cnotB(X0) ),
inference(prop_impl_just,[status(thm)],[c_72]) ).
cnf(c_147,plain,
( cnotAorB(X0)
| rs(X0,sK5(X0)) ),
inference(prop_impl_just,[status(thm)],[c_68]) ).
cnf(c_148,plain,
( rs(X0,sK5(X0))
| cnotAorB(X0) ),
inference(renaming,[status(thm)],[c_147]) ).
cnf(c_153,plain,
( cnotB(X0)
| rr(X0,sK6(X0)) ),
inference(prop_impl_just,[status(thm)],[c_74]) ).
cnf(c_154,plain,
( rr(X0,sK6(X0))
| cnotB(X0) ),
inference(renaming,[status(thm)],[c_153]) ).
cnf(c_231,plain,
( ~ rs(X0,X1)
| cAorB(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_56,c_50]) ).
cnf(c_232,plain,
( ~ xsd_integer(sK8)
| cowlNothing(sK9)
| xsd_string(sK8)
| cA(sK7)
| cAorB(sK7)
| cB(sK7) ),
inference(backward_subsumption_resolution,[status(thm)],[c_81,c_50]) ).
cnf(c_233,plain,
( ~ xsd_string(sK8)
| cowlNothing(sK9)
| xsd_integer(sK8)
| cA(sK7)
| cAorB(sK7)
| cB(sK7) ),
inference(backward_subsumption_resolution,[status(thm)],[c_80,c_50]) ).
cnf(c_234,plain,
( ~ xsd_integer(sK8)
| ~ cAorB(sK7)
| ~ cB(sK7)
| cowlNothing(sK9)
| xsd_string(sK8) ),
inference(backward_subsumption_resolution,[status(thm)],[c_79,c_50]) ).
cnf(c_235,plain,
( ~ xsd_string(sK8)
| ~ cAorB(sK7)
| ~ cB(sK7)
| cowlNothing(sK9)
| xsd_integer(sK8) ),
inference(backward_subsumption_resolution,[status(thm)],[c_78,c_50]) ).
cnf(c_236,plain,
( ~ xsd_integer(sK8)
| ~ cA(sK7)
| ~ cAorB(sK7)
| cowlNothing(sK9)
| xsd_string(sK8) ),
inference(backward_subsumption_resolution,[status(thm)],[c_77,c_50]) ).
cnf(c_237,plain,
( ~ xsd_string(sK8)
| ~ cA(sK7)
| ~ cAorB(sK7)
| cowlNothing(sK9)
| xsd_integer(sK8) ),
inference(backward_subsumption_resolution,[status(thm)],[c_76,c_50]) ).
cnf(c_238,plain,
( ~ rq(X0,X1)
| cA(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_53,c_50]) ).
cnf(c_239,plain,
( ~ rr(X0,X1)
| cB(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_59,c_50]) ).
cnf(c_245,plain,
( ~ xsd_string(sK8)
| ~ cA(sK7)
| ~ cAorB(sK7)
| xsd_integer(sK8) ),
inference(backward_subsumption_resolution,[status(thm)],[c_237,c_49]) ).
cnf(c_246,plain,
( ~ xsd_integer(sK8)
| ~ cA(sK7)
| ~ cAorB(sK7)
| xsd_string(sK8) ),
inference(backward_subsumption_resolution,[status(thm)],[c_236,c_49]) ).
cnf(c_247,plain,
( ~ xsd_string(sK8)
| ~ cAorB(sK7)
| ~ cB(sK7)
| xsd_integer(sK8) ),
inference(backward_subsumption_resolution,[status(thm)],[c_235,c_49]) ).
cnf(c_248,plain,
( ~ xsd_integer(sK8)
| ~ cAorB(sK7)
| ~ cB(sK7)
| xsd_string(sK8) ),
inference(backward_subsumption_resolution,[status(thm)],[c_234,c_49]) ).
cnf(c_249,plain,
( ~ xsd_string(sK8)
| xsd_integer(sK8)
| cA(sK7)
| cAorB(sK7)
| cB(sK7) ),
inference(backward_subsumption_resolution,[status(thm)],[c_233,c_49]) ).
cnf(c_250,plain,
( ~ xsd_integer(sK8)
| xsd_string(sK8)
| cA(sK7)
| cAorB(sK7)
| cB(sK7) ),
inference(backward_subsumption_resolution,[status(thm)],[c_232,c_49]) ).
cnf(c_254,plain,
( ~ cAorB(sK7)
| ~ cB(sK7)
| xsd_integer(sK8) ),
inference(backward_subsumption_resolution,[status(thm)],[c_247,c_112]) ).
cnf(c_255,plain,
( xsd_integer(sK8)
| cA(sK7)
| cAorB(sK7)
| cB(sK7) ),
inference(backward_subsumption_resolution,[status(thm)],[c_249,c_112]) ).
cnf(c_256,plain,
( ~ cA(sK7)
| ~ cAorB(sK7)
| xsd_integer(sK8) ),
inference(backward_subsumption_resolution,[status(thm)],[c_245,c_112]) ).
cnf(c_258,plain,
( ~ cAorB(sK7)
| ~ cB(sK7)
| xsd_string(sK8) ),
inference(backward_subsumption_resolution,[status(thm)],[c_248,c_112]) ).
cnf(c_259,plain,
( xsd_string(sK8)
| cA(sK7)
| cAorB(sK7)
| cB(sK7) ),
inference(backward_subsumption_resolution,[status(thm)],[c_250,c_112]) ).
cnf(c_260,plain,
( ~ cA(sK7)
| ~ cAorB(sK7)
| xsd_string(sK8) ),
inference(backward_subsumption_resolution,[status(thm)],[c_246,c_112]) ).
cnf(c_323,plain,
~ cNothing(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_125,c_128]) ).
cnf(c_328,plain,
( ~ rq(X0,X1)
| ~ cnotA(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_66,c_323]) ).
cnf(c_329,plain,
( ~ rs(X0,X1)
| ~ cnotAorB(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_69,c_323]) ).
cnf(c_330,plain,
( ~ rr(X0,X1)
| ~ cnotB(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_75,c_323]) ).
cnf(c_392,plain,
( ~ cA(X0)
| ~ cnotA(X0) ),
inference(resolution,[status(thm)],[c_328,c_115]) ).
cnf(c_402,plain,
( cA(X0)
| cnotA(X0) ),
inference(resolution,[status(thm)],[c_238,c_136]) ).
cnf(c_414,plain,
( ~ cAorB(X0)
| ~ cnotAorB(X0) ),
inference(resolution,[status(thm)],[c_329,c_119]) ).
cnf(c_415,plain,
( ~ cAorB(sK7)
| ~ cnotAorB(sK7) ),
inference(instantiation,[status(thm)],[c_414]) ).
cnf(c_424,plain,
( cAorB(X0)
| cnotAorB(X0) ),
inference(resolution,[status(thm)],[c_231,c_148]) ).
cnf(c_425,plain,
( cAorB(sK7)
| cnotAorB(sK7) ),
inference(instantiation,[status(thm)],[c_424]) ).
cnf(c_436,plain,
( ~ cB(X0)
| ~ cnotB(X0) ),
inference(resolution,[status(thm)],[c_330,c_123]) ).
cnf(c_446,plain,
( cB(X0)
| cnotB(X0) ),
inference(resolution,[status(thm)],[c_239,c_154]) ).
cnf(c_459,plain,
( ~ cnotB(X0)
| cA(X0)
| cnotAorB(X0) ),
inference(resolution,[status(thm)],[c_402,c_70]) ).
cnf(c_470,plain,
( ~ cA(X0)
| ~ cnotAorB(X0) ),
inference(resolution,[status(thm)],[c_138,c_392]) ).
cnf(c_471,plain,
( ~ cA(sK7)
| ~ cnotAorB(sK7) ),
inference(instantiation,[status(thm)],[c_470]) ).
cnf(c_484,plain,
( cA(X0)
| cB(X0)
| cnotAorB(X0) ),
inference(resolution,[status(thm)],[c_446,c_459]) ).
cnf(c_485,plain,
( cA(sK7)
| cB(sK7)
| cnotAorB(sK7) ),
inference(instantiation,[status(thm)],[c_484]) ).
cnf(c_497,plain,
( ~ cB(X0)
| ~ cnotAorB(X0) ),
inference(resolution,[status(thm)],[c_141,c_436]) ).
cnf(c_498,plain,
( ~ cB(sK7)
| ~ cnotAorB(sK7) ),
inference(instantiation,[status(thm)],[c_497]) ).
cnf(c_511,plain,
( ~ xsd_integer(sK8)
| ~ cA(sK7)
| ~ cAorB(sK7) ),
inference(resolution,[status(thm)],[c_110,c_260]) ).
cnf(c_512,plain,
~ cA(sK7),
inference(global_subsumption_just,[status(thm)],[c_511,c_256,c_425,c_471,c_511]) ).
cnf(c_517,plain,
( ~ xsd_integer(sK8)
| cA(sK7)
| cAorB(sK7)
| cB(sK7) ),
inference(resolution,[status(thm)],[c_110,c_259]) ).
cnf(c_518,plain,
cB(sK7),
inference(global_subsumption_just,[status(thm)],[c_517,c_255,c_415,c_485,c_512,c_517]) ).
cnf(c_523,plain,
( ~ xsd_integer(sK8)
| ~ cAorB(sK7)
| ~ cB(sK7) ),
inference(resolution,[status(thm)],[c_110,c_258]) ).
cnf(c_524,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_523,c_518,c_498,c_425,c_254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KRS132+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n011.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 22:43:03 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 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
% 0.79/1.12 % SZS status Started for theBenchmark.p
% 0.79/1.12 % SZS status Theorem for theBenchmark.p
% 0.79/1.12
% 0.79/1.12 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.79/1.12
% 0.79/1.12 ------ iProver source info
% 0.79/1.12
% 0.79/1.12 git: date: 2024-05-02 19:28:25 +0000
% 0.79/1.12 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.79/1.12 git: non_committed_changes: false
% 0.79/1.12
% 0.79/1.12 ------ Parsing...
% 0.79/1.12 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.79/1.12
% 0.79/1.12 ------ Preprocessing... sf_s rm: 3 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s
% 0.79/1.12
% 0.79/1.12 % SZS status Theorem for theBenchmark.p
% 0.79/1.12
% 0.79/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.79/1.12
% 0.79/1.12
%------------------------------------------------------------------------------