TSTP Solution File: COM019+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : COM019+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n022.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 02:10:28 EDT 2024
% Result : Theorem 24.61s 4.19s
% Output : CNFRefutation 24.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 18
% Syntax : Number of formulae : 168 ( 46 unt; 0 def)
% Number of atoms : 804 ( 36 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 1143 ( 507 ~; 508 |; 100 &)
% ( 12 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-3 aty)
% Number of variables : 343 ( 5 sgn 164 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( ( aRewritingSystem0(X1)
& aElement0(X0) )
=> ! [X2] :
( aReductOfIn0(X2,X0,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mReduct) ).
fof(f6,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aRewritingSystem0(X1)
& aElement0(X0) )
=> ( sdtmndtplgtdt0(X0,X1,X2)
<=> ( ? [X3] :
( sdtmndtplgtdt0(X3,X1,X2)
& aReductOfIn0(X3,X0,X1)
& aElement0(X3) )
| aReductOfIn0(X2,X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCDef) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aRewritingSystem0(X1)
& aElement0(X0) )
=> ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCRDef) ).
fof(f9,axiom,
! [X0,X1,X2,X3] :
( ( aElement0(X3)
& aElement0(X2)
& aRewritingSystem0(X1)
& aElement0(X0) )
=> ( ( sdtmndtasgtdt0(X2,X1,X3)
& sdtmndtasgtdt0(X0,X1,X2) )
=> sdtmndtasgtdt0(X0,X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCRTrans) ).
fof(f12,axiom,
! [X0] :
( aRewritingSystem0(X0)
=> ( isTerminating0(X0)
<=> ! [X1,X2] :
( ( aElement0(X2)
& aElement0(X1) )
=> ( sdtmndtplgtdt0(X1,X0,X2)
=> iLess0(X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTermin) ).
fof(f13,axiom,
! [X0,X1] :
( ( aRewritingSystem0(X1)
& aElement0(X0) )
=> ! [X2] :
( aNormalFormOfIn0(X2,X0,X1)
<=> ( ~ ? [X3] : aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNFRDef) ).
fof(f15,axiom,
aRewritingSystem0(xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656) ).
fof(f16,axiom,
( isTerminating0(xR)
& isLocallyConfluent0(xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656_01) ).
fof(f17,axiom,
( aElement0(xc)
& aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731) ).
fof(f18,axiom,
! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X0,xR,X2)
& sdtmndtasgtdt0(X0,xR,X1)
& aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> ( iLess0(X0,xa)
=> ? [X3] :
( sdtmndtasgtdt0(X2,xR,X3)
& sdtmndtasgtdt0(X1,xR,X3)
& aElement0(X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__715) ).
fof(f20,axiom,
( sdtmndtasgtdt0(xu,xR,xb)
& aReductOfIn0(xu,xa,xR)
& aElement0(xu) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__755) ).
fof(f22,axiom,
( sdtmndtasgtdt0(xv,xR,xw)
& sdtmndtasgtdt0(xu,xR,xw)
& aElement0(xw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__799) ).
fof(f23,axiom,
aNormalFormOfIn0(xd,xw,xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__818) ).
fof(f24,conjecture,
sdtmndtasgtdt0(xb,xR,xd),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f25,negated_conjecture,
~ sdtmndtasgtdt0(xb,xR,xd),
inference(negated_conjecture,[],[f24]) ).
fof(f30,plain,
~ sdtmndtasgtdt0(xb,xR,xd),
inference(flattening,[],[f25]) ).
fof(f31,plain,
! [X0,X1] :
( ! [X2] :
( aElement0(X2)
| ~ aReductOfIn0(X2,X0,X1) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f32,plain,
! [X0,X1] :
( ! [X2] :
( aElement0(X2)
| ~ aReductOfIn0(X2,X0,X1) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f31]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ( sdtmndtplgtdt0(X0,X1,X2)
<=> ( ? [X3] :
( sdtmndtplgtdt0(X3,X1,X2)
& aReductOfIn0(X3,X0,X1)
& aElement0(X3) )
| aReductOfIn0(X2,X0,X1) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ( sdtmndtplgtdt0(X0,X1,X2)
<=> ( ? [X3] :
( sdtmndtplgtdt0(X3,X1,X2)
& aReductOfIn0(X3,X0,X1)
& aElement0(X3) )
| aReductOfIn0(X2,X0,X1) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f33]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2 ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2 ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f37]) ).
fof(f39,plain,
! [X0,X1,X2,X3] :
( sdtmndtasgtdt0(X0,X1,X3)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f40,plain,
! [X0,X1,X2,X3] :
( sdtmndtasgtdt0(X0,X1,X3)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f39]) ).
fof(f45,plain,
! [X0] :
( ( isTerminating0(X0)
<=> ! [X1,X2] :
( iLess0(X2,X1)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ) )
| ~ aRewritingSystem0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f46,plain,
! [X0] :
( ( isTerminating0(X0)
<=> ! [X1,X2] :
( iLess0(X2,X1)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ) )
| ~ aRewritingSystem0(X0) ),
inference(flattening,[],[f45]) ).
fof(f47,plain,
! [X0,X1] :
( ! [X2] :
( aNormalFormOfIn0(X2,X0,X1)
<=> ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f48,plain,
! [X0,X1] :
( ! [X2] :
( aNormalFormOfIn0(X2,X0,X1)
<=> ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f47]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ? [X3] :
( sdtmndtasgtdt0(X2,xR,X3)
& sdtmndtasgtdt0(X1,xR,X3)
& aElement0(X3) )
| ~ iLess0(X0,xa)
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ? [X3] :
( sdtmndtasgtdt0(X2,xR,X3)
& sdtmndtasgtdt0(X1,xR,X3)
& aElement0(X3) )
| ~ iLess0(X0,xa)
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f51]) ).
fof(f59,plain,
! [X0,X1,X2] :
( ( ( sdtmndtplgtdt0(X0,X1,X2)
| ( ! [X3] :
( ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ aReductOfIn0(X3,X0,X1)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X2,X0,X1) ) )
& ( ? [X3] :
( sdtmndtplgtdt0(X3,X1,X2)
& aReductOfIn0(X3,X0,X1)
& aElement0(X3) )
| aReductOfIn0(X2,X0,X1)
| ~ sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f34]) ).
fof(f60,plain,
! [X0,X1,X2] :
( ( ( sdtmndtplgtdt0(X0,X1,X2)
| ( ! [X3] :
( ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ aReductOfIn0(X3,X0,X1)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X2,X0,X1) ) )
& ( ? [X3] :
( sdtmndtplgtdt0(X3,X1,X2)
& aReductOfIn0(X3,X0,X1)
& aElement0(X3) )
| aReductOfIn0(X2,X0,X1)
| ~ sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f59]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ( ( sdtmndtplgtdt0(X0,X1,X2)
| ( ! [X3] :
( ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ aReductOfIn0(X3,X0,X1)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X2,X0,X1) ) )
& ( ? [X4] :
( sdtmndtplgtdt0(X4,X1,X2)
& aReductOfIn0(X4,X0,X1)
& aElement0(X4) )
| aReductOfIn0(X2,X0,X1)
| ~ sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(rectify,[],[f60]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ? [X4] :
( sdtmndtplgtdt0(X4,X1,X2)
& aReductOfIn0(X4,X0,X1)
& aElement0(X4) )
=> ( sdtmndtplgtdt0(sK4(X0,X1,X2),X1,X2)
& aReductOfIn0(sK4(X0,X1,X2),X0,X1)
& aElement0(sK4(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ( ( sdtmndtplgtdt0(X0,X1,X2)
| ( ! [X3] :
( ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ aReductOfIn0(X3,X0,X1)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X2,X0,X1) ) )
& ( ( sdtmndtplgtdt0(sK4(X0,X1,X2),X1,X2)
& aReductOfIn0(sK4(X0,X1,X2),X0,X1)
& aElement0(sK4(X0,X1,X2)) )
| aReductOfIn0(X2,X0,X1)
| ~ sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f61,f62]) ).
fof(f64,plain,
! [X0,X1,X2] :
( ( ( sdtmndtasgtdt0(X0,X1,X2)
| ( ~ sdtmndtplgtdt0(X0,X1,X2)
& X0 != X2 ) )
& ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2
| ~ sdtmndtasgtdt0(X0,X1,X2) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f38]) ).
fof(f65,plain,
! [X0,X1,X2] :
( ( ( sdtmndtasgtdt0(X0,X1,X2)
| ( ~ sdtmndtplgtdt0(X0,X1,X2)
& X0 != X2 ) )
& ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2
| ~ sdtmndtasgtdt0(X0,X1,X2) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f64]) ).
fof(f78,plain,
! [X0] :
( ( ( isTerminating0(X0)
| ? [X1,X2] :
( ~ iLess0(X2,X1)
& sdtmndtplgtdt0(X1,X0,X2)
& aElement0(X2)
& aElement0(X1) ) )
& ( ! [X1,X2] :
( iLess0(X2,X1)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ isTerminating0(X0) ) )
| ~ aRewritingSystem0(X0) ),
inference(nnf_transformation,[],[f46]) ).
fof(f79,plain,
! [X0] :
( ( ( isTerminating0(X0)
| ? [X1,X2] :
( ~ iLess0(X2,X1)
& sdtmndtplgtdt0(X1,X0,X2)
& aElement0(X2)
& aElement0(X1) ) )
& ( ! [X3,X4] :
( iLess0(X4,X3)
| ~ sdtmndtplgtdt0(X3,X0,X4)
| ~ aElement0(X4)
| ~ aElement0(X3) )
| ~ isTerminating0(X0) ) )
| ~ aRewritingSystem0(X0) ),
inference(rectify,[],[f78]) ).
fof(f80,plain,
! [X0] :
( ? [X1,X2] :
( ~ iLess0(X2,X1)
& sdtmndtplgtdt0(X1,X0,X2)
& aElement0(X2)
& aElement0(X1) )
=> ( ~ iLess0(sK14(X0),sK13(X0))
& sdtmndtplgtdt0(sK13(X0),X0,sK14(X0))
& aElement0(sK14(X0))
& aElement0(sK13(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X0] :
( ( ( isTerminating0(X0)
| ( ~ iLess0(sK14(X0),sK13(X0))
& sdtmndtplgtdt0(sK13(X0),X0,sK14(X0))
& aElement0(sK14(X0))
& aElement0(sK13(X0)) ) )
& ( ! [X3,X4] :
( iLess0(X4,X3)
| ~ sdtmndtplgtdt0(X3,X0,X4)
| ~ aElement0(X4)
| ~ aElement0(X3) )
| ~ isTerminating0(X0) ) )
| ~ aRewritingSystem0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f79,f80]) ).
fof(f82,plain,
! [X0,X1] :
( ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| ? [X3] : aReductOfIn0(X3,X2,X1)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2) )
& ( ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f48]) ).
fof(f83,plain,
! [X0,X1] :
( ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| ? [X3] : aReductOfIn0(X3,X2,X1)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2) )
& ( ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f82]) ).
fof(f84,plain,
! [X0,X1] :
( ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| ? [X3] : aReductOfIn0(X3,X2,X1)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2) )
& ( ( ! [X4] : ~ aReductOfIn0(X4,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(rectify,[],[f83]) ).
fof(f85,plain,
! [X1,X2] :
( ? [X3] : aReductOfIn0(X3,X2,X1)
=> aReductOfIn0(sK15(X1,X2),X2,X1) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
! [X0,X1] :
( ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| aReductOfIn0(sK15(X1,X2),X2,X1)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2) )
& ( ( ! [X4] : ~ aReductOfIn0(X4,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f84,f85]) ).
fof(f89,plain,
! [X1,X2] :
( ? [X3] :
( sdtmndtasgtdt0(X2,xR,X3)
& sdtmndtasgtdt0(X1,xR,X3)
& aElement0(X3) )
=> ( sdtmndtasgtdt0(X2,xR,sK17(X1,X2))
& sdtmndtasgtdt0(X1,xR,sK17(X1,X2))
& aElement0(sK17(X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X2,xR,sK17(X1,X2))
& sdtmndtasgtdt0(X1,xR,sK17(X1,X2))
& aElement0(sK17(X1,X2)) )
| ~ iLess0(X0,xa)
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f52,f89]) ).
fof(f91,plain,
! [X2,X0,X1] :
( aElement0(X2)
| ~ aReductOfIn0(X2,X0,X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f93,plain,
! [X2,X0,X1] :
( aReductOfIn0(sK4(X0,X1,X2),X0,X1)
| aReductOfIn0(X2,X0,X1)
| ~ sdtmndtplgtdt0(X0,X1,X2)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f95,plain,
! [X2,X0,X1] :
( sdtmndtplgtdt0(X0,X1,X2)
| ~ aReductOfIn0(X2,X0,X1)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f98,plain,
! [X2,X0,X1] :
( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f101,plain,
! [X2,X3,X0,X1] :
( sdtmndtasgtdt0(X0,X1,X3)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f126,plain,
! [X3,X0,X4] :
( iLess0(X4,X3)
| ~ sdtmndtplgtdt0(X3,X0,X4)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f131,plain,
! [X2,X0,X1] :
( aElement0(X2)
| ~ aNormalFormOfIn0(X2,X0,X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f132,plain,
! [X2,X0,X1] :
( sdtmndtasgtdt0(X0,X1,X2)
| ~ aNormalFormOfIn0(X2,X0,X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f133,plain,
! [X2,X0,X1,X4] :
( ~ aReductOfIn0(X4,X2,X1)
| ~ aNormalFormOfIn0(X2,X0,X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f136,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[],[f15]) ).
fof(f138,plain,
isTerminating0(xR),
inference(cnf_transformation,[],[f16]) ).
fof(f139,plain,
aElement0(xa),
inference(cnf_transformation,[],[f17]) ).
fof(f140,plain,
aElement0(xb),
inference(cnf_transformation,[],[f17]) ).
fof(f142,plain,
! [X2,X0,X1] :
( aElement0(sK17(X1,X2))
| ~ iLess0(X0,xa)
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f143,plain,
! [X2,X0,X1] :
( sdtmndtasgtdt0(X1,xR,sK17(X1,X2))
| ~ iLess0(X0,xa)
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f144,plain,
! [X2,X0,X1] :
( sdtmndtasgtdt0(X2,xR,sK17(X1,X2))
| ~ iLess0(X0,xa)
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f147,plain,
aElement0(xu),
inference(cnf_transformation,[],[f20]) ).
fof(f148,plain,
aReductOfIn0(xu,xa,xR),
inference(cnf_transformation,[],[f20]) ).
fof(f149,plain,
sdtmndtasgtdt0(xu,xR,xb),
inference(cnf_transformation,[],[f20]) ).
fof(f153,plain,
aElement0(xw),
inference(cnf_transformation,[],[f22]) ).
fof(f154,plain,
sdtmndtasgtdt0(xu,xR,xw),
inference(cnf_transformation,[],[f22]) ).
fof(f156,plain,
aNormalFormOfIn0(xd,xw,xR),
inference(cnf_transformation,[],[f23]) ).
fof(f157,plain,
~ sdtmndtasgtdt0(xb,xR,xd),
inference(cnf_transformation,[],[f30]) ).
cnf(c_49,plain,
( ~ aReductOfIn0(X0,X1,X2)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| aElement0(X0) ),
inference(cnf_transformation,[],[f91]) ).
cnf(c_51,plain,
( ~ aReductOfIn0(X0,X1,X2)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| sdtmndtplgtdt0(X1,X2,X0) ),
inference(cnf_transformation,[],[f95]) ).
cnf(c_53,plain,
( ~ sdtmndtplgtdt0(X0,X1,X2)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| aReductOfIn0(sK4(X0,X1,X2),X0,X1)
| aReductOfIn0(X2,X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
cnf(c_58,plain,
( ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| X0 = X2
| sdtmndtplgtdt0(X0,X1,X2) ),
inference(cnf_transformation,[],[f98]) ).
cnf(c_59,plain,
( ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ sdtmndtasgtdt0(X3,X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X3,X1,X2) ),
inference(cnf_transformation,[],[f101]) ).
cnf(c_88,plain,
( ~ sdtmndtplgtdt0(X0,X1,X2)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ isTerminating0(X1)
| iLess0(X2,X0) ),
inference(cnf_transformation,[],[f126]) ).
cnf(c_90,plain,
( ~ aReductOfIn0(X0,X1,X2)
| ~ aNormalFormOfIn0(X1,X3,X2)
| ~ aElement0(X3)
| ~ aRewritingSystem0(X2) ),
inference(cnf_transformation,[],[f133]) ).
cnf(c_91,plain,
( ~ aNormalFormOfIn0(X0,X1,X2)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| sdtmndtasgtdt0(X1,X2,X0) ),
inference(cnf_transformation,[],[f132]) ).
cnf(c_92,plain,
( ~ aNormalFormOfIn0(X0,X1,X2)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| aElement0(X0) ),
inference(cnf_transformation,[],[f131]) ).
cnf(c_94,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[],[f136]) ).
cnf(c_95,plain,
isTerminating0(xR),
inference(cnf_transformation,[],[f138]) ).
cnf(c_98,plain,
aElement0(xb),
inference(cnf_transformation,[],[f140]) ).
cnf(c_99,plain,
aElement0(xa),
inference(cnf_transformation,[],[f139]) ).
cnf(c_100,plain,
( ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ iLess0(X0,xa)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| sdtmndtasgtdt0(X1,xR,sK17(X2,X1)) ),
inference(cnf_transformation,[],[f144]) ).
cnf(c_101,plain,
( ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ iLess0(X0,xa)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| sdtmndtasgtdt0(X2,xR,sK17(X2,X1)) ),
inference(cnf_transformation,[],[f143]) ).
cnf(c_102,plain,
( ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ iLess0(X0,xa)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| aElement0(sK17(X2,X1)) ),
inference(cnf_transformation,[],[f142]) ).
cnf(c_105,plain,
sdtmndtasgtdt0(xu,xR,xb),
inference(cnf_transformation,[],[f149]) ).
cnf(c_106,plain,
aReductOfIn0(xu,xa,xR),
inference(cnf_transformation,[],[f148]) ).
cnf(c_107,plain,
aElement0(xu),
inference(cnf_transformation,[],[f147]) ).
cnf(c_112,plain,
sdtmndtasgtdt0(xu,xR,xw),
inference(cnf_transformation,[],[f154]) ).
cnf(c_113,plain,
aElement0(xw),
inference(cnf_transformation,[],[f153]) ).
cnf(c_114,plain,
aNormalFormOfIn0(xd,xw,xR),
inference(cnf_transformation,[],[f156]) ).
cnf(c_115,negated_conjecture,
~ sdtmndtasgtdt0(xb,xR,xd),
inference(cnf_transformation,[],[f157]) ).
cnf(c_149,plain,
( ~ aReductOfIn0(X0,X1,X2)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| sdtmndtplgtdt0(X1,X2,X0) ),
inference(global_subsumption_just,[status(thm)],[c_51,c_49,c_51]) ).
cnf(c_1016,plain,
( X0 != xd
| X1 != xw
| X2 != xR
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| aElement0(X0) ),
inference(resolution_lifted,[status(thm)],[c_92,c_114]) ).
cnf(c_1017,plain,
( ~ aElement0(xw)
| ~ aRewritingSystem0(xR)
| aElement0(xd) ),
inference(unflattening,[status(thm)],[c_1016]) ).
cnf(c_1018,plain,
aElement0(xd),
inference(global_subsumption_just,[status(thm)],[c_1017,c_113,c_94,c_1017]) ).
cnf(c_1023,plain,
( X0 != xd
| X1 != xw
| X2 != xR
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| sdtmndtasgtdt0(X1,X2,X0) ),
inference(resolution_lifted,[status(thm)],[c_91,c_114]) ).
cnf(c_1024,plain,
( ~ aElement0(xw)
| ~ aRewritingSystem0(xR)
| sdtmndtasgtdt0(xw,xR,xd) ),
inference(unflattening,[status(thm)],[c_1023]) ).
cnf(c_1025,plain,
sdtmndtasgtdt0(xw,xR,xd),
inference(global_subsumption_just,[status(thm)],[c_1024,c_113,c_94,c_1024]) ).
cnf(c_1066,plain,
( X0 != xd
| X1 != xR
| X2 != xw
| ~ aReductOfIn0(X3,X0,X1)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1) ),
inference(resolution_lifted,[status(thm)],[c_90,c_114]) ).
cnf(c_1067,plain,
( ~ aReductOfIn0(X0,xd,xR)
| ~ aElement0(xw)
| ~ aRewritingSystem0(xR) ),
inference(unflattening,[status(thm)],[c_1066]) ).
cnf(c_1069,plain,
~ aReductOfIn0(X0,xd,xR),
inference(global_subsumption_just,[status(thm)],[c_1067,c_113,c_94,c_1067]) ).
cnf(c_1131,plain,
( X0 != xR
| ~ aReductOfIn0(X1,X2,X0)
| ~ aElement0(X2)
| sdtmndtplgtdt0(X2,X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_149,c_94]) ).
cnf(c_1132,plain,
( ~ aReductOfIn0(X0,X1,xR)
| ~ aElement0(X1)
| sdtmndtplgtdt0(X1,xR,X0) ),
inference(unflattening,[status(thm)],[c_1131]) ).
cnf(c_1190,plain,
( X0 != xR
| ~ sdtmndtplgtdt0(X1,X0,X2)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ isTerminating0(X0)
| iLess0(X2,X1) ),
inference(resolution_lifted,[status(thm)],[c_88,c_94]) ).
cnf(c_1191,plain,
( ~ sdtmndtplgtdt0(X0,xR,X1)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ isTerminating0(xR)
| iLess0(X1,X0) ),
inference(unflattening,[status(thm)],[c_1190]) ).
cnf(c_1193,plain,
( ~ aElement0(X1)
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(X0,xR,X1)
| iLess0(X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_1191,c_95,c_1191]) ).
cnf(c_1194,plain,
( ~ sdtmndtplgtdt0(X0,xR,X1)
| ~ aElement0(X0)
| ~ aElement0(X1)
| iLess0(X1,X0) ),
inference(renaming,[status(thm)],[c_1193]) ).
cnf(c_1208,plain,
( X0 != xR
| ~ sdtmndtasgtdt0(X1,X0,X2)
| ~ sdtmndtasgtdt0(X3,X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3)
| sdtmndtasgtdt0(X3,X0,X2) ),
inference(resolution_lifted,[status(thm)],[c_59,c_94]) ).
cnf(c_1209,plain,
( ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ sdtmndtasgtdt0(X2,xR,X0)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| sdtmndtasgtdt0(X2,xR,X1) ),
inference(unflattening,[status(thm)],[c_1208]) ).
cnf(c_1228,plain,
( X0 != xR
| ~ sdtmndtasgtdt0(X1,X0,X2)
| ~ aElement0(X1)
| ~ aElement0(X2)
| X1 = X2
| sdtmndtplgtdt0(X1,X0,X2) ),
inference(resolution_lifted,[status(thm)],[c_58,c_94]) ).
cnf(c_1229,plain,
( ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X0)
| ~ aElement0(X1)
| X0 = X1
| sdtmndtplgtdt0(X0,xR,X1) ),
inference(unflattening,[status(thm)],[c_1228]) ).
cnf(c_1307,plain,
( X0 != xR
| ~ sdtmndtplgtdt0(X1,X0,X2)
| ~ aElement0(X1)
| ~ aElement0(X2)
| aReductOfIn0(sK4(X1,X0,X2),X1,X0)
| aReductOfIn0(X2,X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_53,c_94]) ).
cnf(c_1308,plain,
( ~ sdtmndtplgtdt0(X0,xR,X1)
| ~ aElement0(X0)
| ~ aElement0(X1)
| aReductOfIn0(sK4(X0,xR,X1),X0,xR)
| aReductOfIn0(X1,X0,xR) ),
inference(unflattening,[status(thm)],[c_1307]) ).
cnf(c_1415,plain,
( X0 != X1
| X2 != xa
| ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ sdtmndtasgtdt0(X0,xR,X3)
| ~ sdtmndtasgtdt0(X0,xR,X4)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ aElement0(X4)
| aElement0(sK17(X4,X3)) ),
inference(resolution_lifted,[status(thm)],[c_102,c_1194]) ).
cnf(c_1416,plain,
( ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtplgtdt0(xa,xR,X0)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(xa)
| aElement0(sK17(X2,X1)) ),
inference(unflattening,[status(thm)],[c_1415]) ).
cnf(c_1418,plain,
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(xa,xR,X0)
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| aElement0(sK17(X2,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_1416,c_99,c_1416]) ).
cnf(c_1419,plain,
( ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtplgtdt0(xa,xR,X0)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| aElement0(sK17(X2,X1)) ),
inference(renaming,[status(thm)],[c_1418]) ).
cnf(c_1442,plain,
( X0 != X1
| X2 != xa
| ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ sdtmndtasgtdt0(X0,xR,X3)
| ~ sdtmndtasgtdt0(X0,xR,X4)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ aElement0(X4)
| sdtmndtasgtdt0(X4,xR,sK17(X4,X3)) ),
inference(resolution_lifted,[status(thm)],[c_101,c_1194]) ).
cnf(c_1443,plain,
( ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtplgtdt0(xa,xR,X0)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(xa)
| sdtmndtasgtdt0(X2,xR,sK17(X2,X1)) ),
inference(unflattening,[status(thm)],[c_1442]) ).
cnf(c_1445,plain,
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(xa,xR,X0)
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| sdtmndtasgtdt0(X2,xR,sK17(X2,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_1443,c_99,c_1443]) ).
cnf(c_1446,plain,
( ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtplgtdt0(xa,xR,X0)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| sdtmndtasgtdt0(X2,xR,sK17(X2,X1)) ),
inference(renaming,[status(thm)],[c_1445]) ).
cnf(c_1469,plain,
( X0 != X1
| X2 != xa
| ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ sdtmndtasgtdt0(X0,xR,X3)
| ~ sdtmndtasgtdt0(X0,xR,X4)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ aElement0(X4)
| sdtmndtasgtdt0(X3,xR,sK17(X4,X3)) ),
inference(resolution_lifted,[status(thm)],[c_100,c_1194]) ).
cnf(c_1470,plain,
( ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtplgtdt0(xa,xR,X0)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(xa)
| sdtmndtasgtdt0(X1,xR,sK17(X2,X1)) ),
inference(unflattening,[status(thm)],[c_1469]) ).
cnf(c_1471,plain,
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(xa,xR,X0)
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| sdtmndtasgtdt0(X1,xR,sK17(X2,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_1470,c_99,c_1470]) ).
cnf(c_1472,plain,
( ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtplgtdt0(xa,xR,X0)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| sdtmndtasgtdt0(X1,xR,sK17(X2,X1)) ),
inference(renaming,[status(thm)],[c_1471]) ).
cnf(c_4426,plain,
( ~ sdtmndtasgtdt0(X0_13,xR,X1_13)
| ~ sdtmndtasgtdt0(X0_13,xR,X2_13)
| ~ sdtmndtplgtdt0(xa,xR,X0_13)
| ~ aElement0(X0_13)
| ~ aElement0(X1_13)
| ~ aElement0(X2_13)
| sdtmndtasgtdt0(X1_13,xR,sK17(X2_13,X1_13)) ),
inference(subtyping,[status(esa)],[c_1472]) ).
cnf(c_4427,plain,
( ~ sdtmndtasgtdt0(X0_13,xR,X1_13)
| ~ sdtmndtasgtdt0(X0_13,xR,X2_13)
| ~ sdtmndtplgtdt0(xa,xR,X0_13)
| ~ aElement0(X0_13)
| ~ aElement0(X1_13)
| ~ aElement0(X2_13)
| sdtmndtasgtdt0(X2_13,xR,sK17(X2_13,X1_13)) ),
inference(subtyping,[status(esa)],[c_1446]) ).
cnf(c_4428,plain,
( ~ sdtmndtasgtdt0(X0_13,xR,X1_13)
| ~ sdtmndtasgtdt0(X0_13,xR,X2_13)
| ~ sdtmndtplgtdt0(xa,xR,X0_13)
| ~ aElement0(X0_13)
| ~ aElement0(X1_13)
| ~ aElement0(X2_13)
| aElement0(sK17(X2_13,X1_13)) ),
inference(subtyping,[status(esa)],[c_1419]) ).
cnf(c_4430,plain,
( ~ sdtmndtplgtdt0(X0_13,xR,X1_13)
| ~ aElement0(X0_13)
| ~ aElement0(X1_13)
| aReductOfIn0(sK4(X0_13,xR,X1_13),X0_13,xR)
| aReductOfIn0(X1_13,X0_13,xR) ),
inference(subtyping,[status(esa)],[c_1308]) ).
cnf(c_4435,plain,
( ~ sdtmndtasgtdt0(X0_13,xR,X1_13)
| ~ aElement0(X0_13)
| ~ aElement0(X1_13)
| X0_13 = X1_13
| sdtmndtplgtdt0(X0_13,xR,X1_13) ),
inference(subtyping,[status(esa)],[c_1229]) ).
cnf(c_4436,plain,
( ~ sdtmndtasgtdt0(X0_13,xR,X1_13)
| ~ sdtmndtasgtdt0(X2_13,xR,X0_13)
| ~ aElement0(X0_13)
| ~ aElement0(X1_13)
| ~ aElement0(X2_13)
| sdtmndtasgtdt0(X2_13,xR,X1_13) ),
inference(subtyping,[status(esa)],[c_1209]) ).
cnf(c_4441,plain,
( ~ aReductOfIn0(X0_13,X1_13,xR)
| ~ aElement0(X1_13)
| sdtmndtplgtdt0(X1_13,xR,X0_13) ),
inference(subtyping,[status(esa)],[c_1132]) ).
cnf(c_4444,plain,
~ aReductOfIn0(X0_13,xd,xR),
inference(subtyping,[status(esa)],[c_1069]) ).
cnf(c_4445,plain,
sdtmndtasgtdt0(xw,xR,xd),
inference(subtyping,[status(esa)],[c_1025]) ).
cnf(c_4446,plain,
aElement0(xd),
inference(subtyping,[status(esa)],[c_1018]) ).
cnf(c_4448,negated_conjecture,
~ sdtmndtasgtdt0(xb,xR,xd),
inference(subtyping,[status(esa)],[c_115]) ).
cnf(c_4449,plain,
aElement0(xw),
inference(subtyping,[status(esa)],[c_113]) ).
cnf(c_4450,plain,
sdtmndtasgtdt0(xu,xR,xw),
inference(subtyping,[status(esa)],[c_112]) ).
cnf(c_4455,plain,
aElement0(xu),
inference(subtyping,[status(esa)],[c_107]) ).
cnf(c_4456,plain,
aReductOfIn0(xu,xa,xR),
inference(subtyping,[status(esa)],[c_106]) ).
cnf(c_4457,plain,
sdtmndtasgtdt0(xu,xR,xb),
inference(subtyping,[status(esa)],[c_105]) ).
cnf(c_4460,plain,
aElement0(xa),
inference(subtyping,[status(esa)],[c_99]) ).
cnf(c_4461,plain,
aElement0(xb),
inference(subtyping,[status(esa)],[c_98]) ).
cnf(c_5375,plain,
( ~ aElement0(xa)
| sdtmndtplgtdt0(xa,xR,xu) ),
inference(superposition,[status(thm)],[c_4456,c_4441]) ).
cnf(c_5377,plain,
sdtmndtplgtdt0(xa,xR,xu),
inference(forward_subsumption_resolution,[status(thm)],[c_5375,c_4460]) ).
cnf(c_8309,plain,
( ~ sdtmndtasgtdt0(X0_13,xR,xw)
| ~ aElement0(X0_13)
| ~ aElement0(xw)
| ~ aElement0(xd)
| sdtmndtasgtdt0(X0_13,xR,xd) ),
inference(superposition,[status(thm)],[c_4445,c_4436]) ).
cnf(c_8311,plain,
( ~ sdtmndtasgtdt0(X0_13,xR,xw)
| ~ aElement0(X0_13)
| sdtmndtasgtdt0(X0_13,xR,xd) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8309,c_4446,c_4449]) ).
cnf(c_8382,plain,
( ~ sdtmndtplgtdt0(xd,xR,X0_13)
| ~ aElement0(X0_13)
| ~ aElement0(xd)
| aReductOfIn0(X0_13,xd,xR) ),
inference(superposition,[status(thm)],[c_4430,c_4444]) ).
cnf(c_8383,plain,
( ~ sdtmndtplgtdt0(xd,xR,X0_13)
| ~ aElement0(X0_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8382,c_4444,c_4446]) ).
cnf(c_8416,plain,
( ~ sdtmndtasgtdt0(xu,xR,X0_13)
| ~ sdtmndtplgtdt0(xa,xR,xu)
| ~ aElement0(X0_13)
| ~ aElement0(xb)
| ~ aElement0(xu)
| aElement0(sK17(X0_13,xb)) ),
inference(superposition,[status(thm)],[c_4457,c_4428]) ).
cnf(c_8417,plain,
( ~ sdtmndtasgtdt0(xu,xR,X0_13)
| ~ sdtmndtplgtdt0(xa,xR,xu)
| ~ aElement0(X0_13)
| ~ aElement0(xb)
| ~ aElement0(xu)
| sdtmndtasgtdt0(X0_13,xR,sK17(X0_13,xb)) ),
inference(superposition,[status(thm)],[c_4457,c_4427]) ).
cnf(c_8418,plain,
( ~ sdtmndtasgtdt0(xu,xR,X0_13)
| ~ sdtmndtplgtdt0(xa,xR,xu)
| ~ aElement0(X0_13)
| ~ aElement0(xb)
| ~ aElement0(xu)
| sdtmndtasgtdt0(xb,xR,sK17(X0_13,xb)) ),
inference(superposition,[status(thm)],[c_4457,c_4426]) ).
cnf(c_8421,plain,
( ~ sdtmndtasgtdt0(xu,xR,X0_13)
| ~ sdtmndtplgtdt0(xa,xR,xu)
| ~ aElement0(X0_13)
| aElement0(sK17(X0_13,xb)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8416,c_4455,c_4461]) ).
cnf(c_8422,plain,
( ~ sdtmndtasgtdt0(xu,xR,X0_13)
| ~ sdtmndtplgtdt0(xa,xR,xu)
| ~ aElement0(X0_13)
| sdtmndtasgtdt0(xb,xR,sK17(X0_13,xb)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8418,c_4455,c_4461]) ).
cnf(c_8423,plain,
( ~ sdtmndtasgtdt0(xu,xR,X0_13)
| ~ sdtmndtplgtdt0(xa,xR,xu)
| ~ aElement0(X0_13)
| sdtmndtasgtdt0(X0_13,xR,sK17(X0_13,xb)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8417,c_4455,c_4461]) ).
cnf(c_8776,plain,
( ~ aElement0(xu)
| sdtmndtasgtdt0(xu,xR,xd) ),
inference(superposition,[status(thm)],[c_4450,c_8311]) ).
cnf(c_8779,plain,
sdtmndtasgtdt0(xu,xR,xd),
inference(forward_subsumption_resolution,[status(thm)],[c_8776,c_4455]) ).
cnf(c_9477,plain,
( ~ sdtmndtplgtdt0(xa,xR,xu)
| ~ aElement0(xd)
| aElement0(sK17(xd,xb)) ),
inference(superposition,[status(thm)],[c_8779,c_8421]) ).
cnf(c_9478,plain,
aElement0(sK17(xd,xb)),
inference(forward_subsumption_resolution,[status(thm)],[c_9477,c_4446,c_5377]) ).
cnf(c_9521,plain,
( ~ aElement0(sK17(X0_13,xb))
| ~ sdtmndtasgtdt0(xu,xR,X0_13)
| ~ sdtmndtplgtdt0(xa,xR,xu)
| ~ aElement0(X0_13)
| sK17(X0_13,xb) = X0_13
| sdtmndtplgtdt0(X0_13,xR,sK17(X0_13,xb)) ),
inference(superposition,[status(thm)],[c_8423,c_4435]) ).
cnf(c_9541,plain,
( ~ aElement0(sK17(X0_13,xb))
| ~ sdtmndtasgtdt0(xu,xR,X0_13)
| ~ aElement0(X0_13)
| sK17(X0_13,xb) = X0_13
| sdtmndtplgtdt0(X0_13,xR,sK17(X0_13,xb)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9521,c_5377]) ).
cnf(c_27418,plain,
( ~ aElement0(sK17(xd,xb))
| ~ sdtmndtasgtdt0(xu,xR,xd)
| ~ aElement0(xd)
| sK17(xd,xb) = xd ),
inference(superposition,[status(thm)],[c_9541,c_8383]) ).
cnf(c_27420,plain,
sK17(xd,xb) = xd,
inference(forward_subsumption_resolution,[status(thm)],[c_27418,c_4446,c_8779,c_9478]) ).
cnf(c_27856,plain,
( ~ sdtmndtplgtdt0(xa,xR,xu)
| ~ sdtmndtasgtdt0(xu,xR,xd)
| ~ aElement0(xd)
| sdtmndtasgtdt0(xb,xR,xd) ),
inference(superposition,[status(thm)],[c_27420,c_8422]) ).
cnf(c_27876,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_27856,c_4448,c_4446,c_8779,c_5377]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : COM019+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 00:38:27 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.48 Running first-order theorem proving
% 0.19/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 24.61/4.19 % SZS status Started for theBenchmark.p
% 24.61/4.19 % SZS status Theorem for theBenchmark.p
% 24.61/4.19
% 24.61/4.19 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 24.61/4.19
% 24.61/4.19 ------ iProver source info
% 24.61/4.19
% 24.61/4.19 git: date: 2024-05-02 19:28:25 +0000
% 24.61/4.19 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 24.61/4.19 git: non_committed_changes: false
% 24.61/4.19
% 24.61/4.19 ------ Parsing...
% 24.61/4.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 24.61/4.19
% 24.61/4.19 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 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
% 24.61/4.19
% 24.61/4.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 24.61/4.19
% 24.61/4.19 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 24.61/4.19 ------ Proving...
% 24.61/4.19 ------ Problem Properties
% 24.61/4.19
% 24.61/4.19
% 24.61/4.19 clauses 55
% 24.61/4.19 conjectures 1
% 24.61/4.19 EPR 27
% 24.61/4.19 Horn 41
% 24.61/4.19 unary 19
% 24.61/4.19 binary 14
% 24.61/4.19 lits 170
% 24.61/4.19 lits eq 1
% 24.61/4.19 fd_pure 0
% 24.61/4.19 fd_pseudo 0
% 24.61/4.19 fd_cond 0
% 24.61/4.19 fd_pseudo_cond 1
% 24.61/4.19 AC symbols 0
% 24.61/4.19
% 24.61/4.19 ------ Input Options Time Limit: Unbounded
% 24.61/4.19
% 24.61/4.19
% 24.61/4.19 ------
% 24.61/4.19 Current options:
% 24.61/4.19 ------
% 24.61/4.19
% 24.61/4.19
% 24.61/4.19
% 24.61/4.19
% 24.61/4.19 ------ Proving...
% 24.61/4.19
% 24.61/4.19
% 24.61/4.19 % SZS status Theorem for theBenchmark.p
% 24.61/4.19
% 24.61/4.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 24.61/4.19
% 24.61/4.20
%------------------------------------------------------------------------------