TSTP Solution File: NUM513+3 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM513+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.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 : Thu Aug 31 11:31:04 EDT 2023
% Result : Theorem 172.04s 22.30s
% Output : CNFRefutation 172.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 14
% Syntax : Number of formulae : 105 ( 54 unt; 0 def)
% Number of atoms : 327 ( 151 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 337 ( 115 ~; 111 |; 93 &)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 78 ( 0 sgn; 43 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f15,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 != X0
=> ! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( sdtasdt0(X1,X0) = sdtasdt0(X2,X0)
| sdtasdt0(X0,X1) = sdtasdt0(X0,X2) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulCanc) ).
fof(f36,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X1)
& sz00 != X0 )
=> ! [X2] :
( aNaturalNumber0(X2)
=> sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivAsso) ).
fof(f39,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f45,axiom,
( xk = sdtsldt0(sdtasdt0(xn,xm),xp)
& sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
& aNaturalNumber0(xk) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2306) ).
fof(f48,axiom,
( isPrime0(xr)
& ! [X0] :
( ( ( doDivides0(X0,xr)
| ? [X1] :
( sdtasdt0(X0,X1) = xr
& aNaturalNumber0(X1) ) )
& aNaturalNumber0(X0) )
=> ( xr = X0
| sz10 = X0 ) )
& sz10 != xr
& sz00 != xr
& doDivides0(xr,xk)
& ? [X0] :
( xk = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
& aNaturalNumber0(xr) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2342) ).
fof(f49,axiom,
( doDivides0(xr,sdtasdt0(xn,xm))
& ? [X0] :
( sdtasdt0(xn,xm) = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
& ? [X0] :
( xk = sdtpldt0(xr,X0)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2362) ).
fof(f52,axiom,
( doDivides0(xr,xn)
& ? [X0] :
( xn = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2487) ).
fof(f54,axiom,
( sdtasdt0(xn,xm) = sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr)
& sdtasdt0(xp,xk) = sdtasdt0(xr,sdtsldt0(sdtasdt0(xp,xk),xr))
& aNaturalNumber0(sdtsldt0(sdtasdt0(xp,xk),xr))
& sdtasdt0(xn,xm) = sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr)
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2576) ).
fof(f55,conjecture,
( ( xk = sdtasdt0(xr,sdtsldt0(xk,xr))
& aNaturalNumber0(sdtsldt0(xk,xr)) )
=> ( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) )
=> sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sdtsldt0(xk,xr)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f56,negated_conjecture,
~ ( ( xk = sdtasdt0(xr,sdtsldt0(xk,xr))
& aNaturalNumber0(sdtsldt0(xk,xr)) )
=> ( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) )
=> sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sdtsldt0(xk,xr)) ) ),
inference(negated_conjecture,[],[f55]) ).
fof(f62,plain,
( isPrime0(xr)
& ! [X0] :
( ( ( doDivides0(X0,xr)
| ? [X1] :
( sdtasdt0(X0,X1) = xr
& aNaturalNumber0(X1) ) )
& aNaturalNumber0(X0) )
=> ( xr = X0
| sz10 = X0 ) )
& sz10 != xr
& sz00 != xr
& doDivides0(xr,xk)
& ? [X2] :
( xk = sdtasdt0(xr,X2)
& aNaturalNumber0(X2) )
& aNaturalNumber0(xr) ),
inference(rectify,[],[f48]) ).
fof(f63,plain,
( doDivides0(xr,sdtasdt0(xn,xm))
& ? [X0] :
( sdtasdt0(xn,xm) = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
& ? [X1] :
( xk = sdtpldt0(xr,X1)
& aNaturalNumber0(X1) ) ),
inference(rectify,[],[f49]) ).
fof(f67,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f68,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f67]) ).
fof(f84,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f85,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f84]) ).
fof(f123,plain,
! [X0,X1] :
( ! [X2] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f124,plain,
! [X0,X1] :
( ! [X2] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f123]) ).
fof(f136,plain,
( isPrime0(xr)
& ! [X0] :
( xr = X0
| sz10 = X0
| ( ~ doDivides0(X0,xr)
& ! [X1] :
( sdtasdt0(X0,X1) != xr
| ~ aNaturalNumber0(X1) ) )
| ~ aNaturalNumber0(X0) )
& sz10 != xr
& sz00 != xr
& doDivides0(xr,xk)
& ? [X2] :
( xk = sdtasdt0(xr,X2)
& aNaturalNumber0(X2) )
& aNaturalNumber0(xr) ),
inference(ennf_transformation,[],[f62]) ).
fof(f137,plain,
( isPrime0(xr)
& ! [X0] :
( xr = X0
| sz10 = X0
| ( ~ doDivides0(X0,xr)
& ! [X1] :
( sdtasdt0(X0,X1) != xr
| ~ aNaturalNumber0(X1) ) )
| ~ aNaturalNumber0(X0) )
& sz10 != xr
& sz00 != xr
& doDivides0(xr,xk)
& ? [X2] :
( xk = sdtasdt0(xr,X2)
& aNaturalNumber0(X2) )
& aNaturalNumber0(xr) ),
inference(flattening,[],[f136]) ).
fof(f140,plain,
( sdtasdt0(sdtsldt0(xn,xr),xm) != sdtasdt0(xp,sdtsldt0(xk,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xk = sdtasdt0(xr,sdtsldt0(xk,xr))
& aNaturalNumber0(sdtsldt0(xk,xr)) ),
inference(ennf_transformation,[],[f56]) ).
fof(f141,plain,
( sdtasdt0(sdtsldt0(xn,xr),xm) != sdtasdt0(xp,sdtsldt0(xk,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xk = sdtasdt0(xr,sdtsldt0(xk,xr))
& aNaturalNumber0(sdtsldt0(xk,xr)) ),
inference(flattening,[],[f140]) ).
fof(f183,plain,
( ? [X2] :
( xk = sdtasdt0(xr,X2)
& aNaturalNumber0(X2) )
=> ( xk = sdtasdt0(xr,sK14)
& aNaturalNumber0(sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f184,plain,
( isPrime0(xr)
& ! [X0] :
( xr = X0
| sz10 = X0
| ( ~ doDivides0(X0,xr)
& ! [X1] :
( sdtasdt0(X0,X1) != xr
| ~ aNaturalNumber0(X1) ) )
| ~ aNaturalNumber0(X0) )
& sz10 != xr
& sz00 != xr
& doDivides0(xr,xk)
& xk = sdtasdt0(xr,sK14)
& aNaturalNumber0(sK14)
& aNaturalNumber0(xr) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f137,f183]) ).
fof(f185,plain,
( ? [X0] :
( sdtasdt0(xn,xm) = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
=> ( sdtasdt0(xn,xm) = sdtasdt0(xr,sK15)
& aNaturalNumber0(sK15) ) ),
introduced(choice_axiom,[]) ).
fof(f186,plain,
( ? [X1] :
( xk = sdtpldt0(xr,X1)
& aNaturalNumber0(X1) )
=> ( xk = sdtpldt0(xr,sK16)
& aNaturalNumber0(sK16) ) ),
introduced(choice_axiom,[]) ).
fof(f187,plain,
( doDivides0(xr,sdtasdt0(xn,xm))
& sdtasdt0(xn,xm) = sdtasdt0(xr,sK15)
& aNaturalNumber0(sK15)
& xk = sdtpldt0(xr,sK16)
& aNaturalNumber0(sK16) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16])],[f63,f186,f185]) ).
fof(f196,plain,
( ? [X0] :
( xn = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
=> ( xn = sdtasdt0(xr,sK20)
& aNaturalNumber0(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f197,plain,
( doDivides0(xr,xn)
& xn = sdtasdt0(xr,sK20)
& aNaturalNumber0(sK20) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f52,f196]) ).
fof(f204,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f219,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f220,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f257,plain,
! [X2,X0,X1] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f269,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f270,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f307,plain,
aNaturalNumber0(xk),
inference(cnf_transformation,[],[f45]) ).
fof(f308,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(cnf_transformation,[],[f45]) ).
fof(f314,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f184]) ).
fof(f315,plain,
aNaturalNumber0(sK14),
inference(cnf_transformation,[],[f184]) ).
fof(f316,plain,
xk = sdtasdt0(xr,sK14),
inference(cnf_transformation,[],[f184]) ).
fof(f317,plain,
doDivides0(xr,xk),
inference(cnf_transformation,[],[f184]) ).
fof(f318,plain,
sz00 != xr,
inference(cnf_transformation,[],[f184]) ).
fof(f326,plain,
sdtasdt0(xn,xm) = sdtasdt0(xr,sK15),
inference(cnf_transformation,[],[f187]) ).
fof(f338,plain,
aNaturalNumber0(sK20),
inference(cnf_transformation,[],[f197]) ).
fof(f339,plain,
xn = sdtasdt0(xr,sK20),
inference(cnf_transformation,[],[f197]) ).
fof(f351,plain,
sdtasdt0(xn,xm) = sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr),
inference(cnf_transformation,[],[f54]) ).
fof(f352,plain,
aNaturalNumber0(sdtsldt0(sdtasdt0(xp,xk),xr)),
inference(cnf_transformation,[],[f54]) ).
fof(f354,plain,
sdtasdt0(xn,xm) = sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr),
inference(cnf_transformation,[],[f54]) ).
fof(f355,plain,
aNaturalNumber0(sdtsldt0(xk,xr)),
inference(cnf_transformation,[],[f141]) ).
fof(f356,plain,
xk = sdtasdt0(xr,sdtsldt0(xk,xr)),
inference(cnf_transformation,[],[f141]) ).
fof(f357,plain,
aNaturalNumber0(sdtsldt0(xn,xr)),
inference(cnf_transformation,[],[f141]) ).
fof(f358,plain,
xn = sdtasdt0(xr,sdtsldt0(xn,xr)),
inference(cnf_transformation,[],[f141]) ).
fof(f359,plain,
sdtasdt0(sdtsldt0(xn,xr),xm) != sdtasdt0(xp,sdtsldt0(xk,xr)),
inference(cnf_transformation,[],[f141]) ).
cnf(c_53,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f204]) ).
cnf(c_68,plain,
( sdtasdt0(X0,X1) != sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X0 = X2
| X1 = sz00 ),
inference(cnf_transformation,[],[f220]) ).
cnf(c_69,plain,
( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X0 = sz00
| X1 = X2 ),
inference(cnf_transformation,[],[f219]) ).
cnf(c_105,plain,
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| X0 = sz00 ),
inference(cnf_transformation,[],[f257]) ).
cnf(c_116,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f270]) ).
cnf(c_117,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f269]) ).
cnf(c_156,plain,
sdtasdt0(xp,xk) = sdtasdt0(xn,xm),
inference(cnf_transformation,[],[f308]) ).
cnf(c_157,plain,
aNaturalNumber0(xk),
inference(cnf_transformation,[],[f307]) ).
cnf(c_166,plain,
sz00 != xr,
inference(cnf_transformation,[],[f318]) ).
cnf(c_167,plain,
doDivides0(xr,xk),
inference(cnf_transformation,[],[f317]) ).
cnf(c_168,plain,
sdtasdt0(xr,sK14) = xk,
inference(cnf_transformation,[],[f316]) ).
cnf(c_169,plain,
aNaturalNumber0(sK14),
inference(cnf_transformation,[],[f315]) ).
cnf(c_170,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f314]) ).
cnf(c_172,plain,
sdtasdt0(xn,xm) = sdtasdt0(xr,sK15),
inference(cnf_transformation,[],[f326]) ).
cnf(c_187,plain,
sdtasdt0(xr,sK20) = xn,
inference(cnf_transformation,[],[f339]) ).
cnf(c_188,plain,
aNaturalNumber0(sK20),
inference(cnf_transformation,[],[f338]) ).
cnf(c_197,plain,
sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr) = sdtasdt0(xn,xm),
inference(cnf_transformation,[],[f354]) ).
cnf(c_199,plain,
aNaturalNumber0(sdtsldt0(sdtasdt0(xp,xk),xr)),
inference(cnf_transformation,[],[f352]) ).
cnf(c_200,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) = sdtasdt0(xn,xm),
inference(cnf_transformation,[],[f351]) ).
cnf(c_203,negated_conjecture,
sdtasdt0(sdtsldt0(xn,xr),xm) != sdtasdt0(xp,sdtsldt0(xk,xr)),
inference(cnf_transformation,[],[f359]) ).
cnf(c_204,negated_conjecture,
sdtasdt0(xr,sdtsldt0(xn,xr)) = xn,
inference(cnf_transformation,[],[f358]) ).
cnf(c_205,negated_conjecture,
aNaturalNumber0(sdtsldt0(xn,xr)),
inference(cnf_transformation,[],[f357]) ).
cnf(c_206,negated_conjecture,
sdtasdt0(xr,sdtsldt0(xk,xr)) = xk,
inference(cnf_transformation,[],[f356]) ).
cnf(c_207,negated_conjecture,
aNaturalNumber0(sdtsldt0(xk,xr)),
inference(cnf_transformation,[],[f355]) ).
cnf(c_1143,plain,
sdtasdt0(xp,xk) = sdtasdt0(xr,sK15),
inference(light_normalisation,[status(thm)],[c_156,c_172]) ).
cnf(c_1144,plain,
aNaturalNumber0(sdtsldt0(sdtasdt0(xr,sK15),xr)),
inference(demodulation,[status(thm)],[c_199,c_1143]) ).
cnf(c_1147,plain,
sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) = sdtasdt0(xr,sK15),
inference(light_normalisation,[status(thm)],[c_200,c_172]) ).
cnf(c_1149,plain,
sdtasdt0(sdtsldt0(sdtasdt0(xr,sK15),xr),xr) = sdtasdt0(xr,sK15),
inference(light_normalisation,[status(thm)],[c_197,c_172,c_1143]) ).
cnf(c_18839,plain,
( sdtasdt0(xr,X0) != xn
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xr)
| sdtsldt0(xn,xr) = X0
| sz00 = xr ),
inference(superposition,[status(thm)],[c_204,c_69]) ).
cnf(c_18871,plain,
( sdtasdt0(xr,X0) != xn
| ~ aNaturalNumber0(X0)
| sdtsldt0(xn,xr) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_18839,c_166,c_170,c_205]) ).
cnf(c_25819,plain,
( ~ aNaturalNumber0(sK20)
| sdtsldt0(xn,xr) = sK20 ),
inference(superposition,[status(thm)],[c_187,c_18871]) ).
cnf(c_25825,plain,
sdtsldt0(xn,xr) = sK20,
inference(forward_subsumption_resolution,[status(thm)],[c_25819,c_188]) ).
cnf(c_36307,plain,
( sdtasdt0(xr,X0) != xk
| ~ aNaturalNumber0(sdtsldt0(xk,xr))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xr)
| sdtsldt0(xk,xr) = X0
| sz00 = xr ),
inference(superposition,[status(thm)],[c_206,c_69]) ).
cnf(c_36359,plain,
( sdtasdt0(xr,X0) != xk
| ~ aNaturalNumber0(X0)
| sdtsldt0(xk,xr) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_36307,c_166,c_170,c_207]) ).
cnf(c_37809,plain,
( ~ aNaturalNumber0(sK14)
| sdtsldt0(xk,xr) = sK14 ),
inference(superposition,[status(thm)],[c_168,c_36359]) ).
cnf(c_37821,plain,
sdtsldt0(xk,xr) = sK14,
inference(forward_subsumption_resolution,[status(thm)],[c_37809,c_169]) ).
cnf(c_85203,plain,
sdtasdt0(xp,sK14) != sdtasdt0(sK20,xm),
inference(demodulation,[status(thm)],[c_203,c_37821,c_25825]) ).
cnf(c_85204,plain,
sdtasdt0(sdtasdt0(sK20,xm),xr) = sdtasdt0(xr,sK15),
inference(light_normalisation,[status(thm)],[c_1147,c_25825]) ).
cnf(c_85580,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xr)
| sdtasdt0(X0,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(X0,xk),xr)
| sz00 = xr ),
inference(superposition,[status(thm)],[c_167,c_105]) ).
cnf(c_85587,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xr)
| sdtsldt0(sdtasdt0(X0,xk),xr) = sdtasdt0(X0,sK14)
| sz00 = xr ),
inference(demodulation,[status(thm)],[c_85580,c_37821]) ).
cnf(c_85588,plain,
( ~ aNaturalNumber0(X0)
| sdtsldt0(sdtasdt0(X0,xk),xr) = sdtasdt0(X0,sK14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85587,c_166,c_170,c_157]) ).
cnf(c_85793,plain,
sdtsldt0(sdtasdt0(xp,xk),xr) = sdtasdt0(xp,sK14),
inference(superposition,[status(thm)],[c_116,c_85588]) ).
cnf(c_85813,plain,
sdtsldt0(sdtasdt0(xr,sK15),xr) = sdtasdt0(xp,sK14),
inference(demodulation,[status(thm)],[c_85793,c_1143]) ).
cnf(c_85817,plain,
sdtasdt0(sdtasdt0(xp,sK14),xr) = sdtasdt0(xr,sK15),
inference(demodulation,[status(thm)],[c_1149,c_85813]) ).
cnf(c_85819,plain,
aNaturalNumber0(sdtasdt0(xp,sK14)),
inference(demodulation,[status(thm)],[c_1144,c_85813]) ).
cnf(c_87776,plain,
( sdtasdt0(X0,xr) != sdtasdt0(xr,sK15)
| ~ aNaturalNumber0(sdtasdt0(sK20,xm))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xr)
| sdtasdt0(sK20,xm) = X0
| sz00 = xr ),
inference(superposition,[status(thm)],[c_85204,c_68]) ).
cnf(c_87834,plain,
( sdtasdt0(X0,xr) != sdtasdt0(xr,sK15)
| ~ aNaturalNumber0(sdtasdt0(sK20,xm))
| ~ aNaturalNumber0(X0)
| sdtasdt0(sK20,xm) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_87776,c_166,c_170]) ).
cnf(c_93510,plain,
( ~ aNaturalNumber0(sdtasdt0(xp,sK14))
| ~ aNaturalNumber0(sdtasdt0(sK20,xm))
| sdtasdt0(xp,sK14) = sdtasdt0(sK20,xm) ),
inference(superposition,[status(thm)],[c_85817,c_87834]) ).
cnf(c_93512,plain,
~ aNaturalNumber0(sdtasdt0(sK20,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_93510,c_85203,c_85819]) ).
cnf(c_93535,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sK20) ),
inference(superposition,[status(thm)],[c_53,c_93512]) ).
cnf(c_93536,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_93535,c_188,c_117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM513+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : run_iprover %s %d THM
% 0.15/0.33 % Computer : n026.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Fri Aug 25 14:05:02 EDT 2023
% 0.15/0.33 % CPUTime :
% 0.18/0.44 Running first-order theorem proving
% 0.18/0.44 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 172.04/22.30 % SZS status Started for theBenchmark.p
% 172.04/22.30 % SZS status Theorem for theBenchmark.p
% 172.04/22.30
% 172.04/22.30 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 172.04/22.30
% 172.04/22.30 ------ iProver source info
% 172.04/22.30
% 172.04/22.30 git: date: 2023-05-31 18:12:56 +0000
% 172.04/22.30 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 172.04/22.30 git: non_committed_changes: false
% 172.04/22.30 git: last_make_outside_of_git: false
% 172.04/22.30
% 172.04/22.30 ------ Parsing...
% 172.04/22.30 ------ Clausification by vclausify_rel & Parsing by iProver...
% 172.04/22.30
% 172.04/22.30 ------ Preprocessing... sup_sim: 9 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 172.04/22.30
% 172.04/22.30 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 172.04/22.30
% 172.04/22.30 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 172.04/22.30 ------ Proving...
% 172.04/22.30 ------ Problem Properties
% 172.04/22.30
% 172.04/22.30
% 172.04/22.30 clauses 145
% 172.04/22.30 conjectures 5
% 172.04/22.30 EPR 53
% 172.04/22.30 Horn 102
% 172.04/22.30 unary 61
% 172.04/22.30 binary 18
% 172.04/22.30 lits 421
% 172.04/22.30 lits eq 133
% 172.04/22.30 fd_pure 0
% 172.04/22.30 fd_pseudo 0
% 172.04/22.30 fd_cond 24
% 172.04/22.30 fd_pseudo_cond 11
% 172.04/22.30 AC symbols 0
% 172.04/22.30
% 172.04/22.30 ------ Input Options Time Limit: Unbounded
% 172.04/22.30
% 172.04/22.30
% 172.04/22.30 ------
% 172.04/22.30 Current options:
% 172.04/22.30 ------
% 172.04/22.30
% 172.04/22.30
% 172.04/22.30
% 172.04/22.30
% 172.04/22.30 ------ Proving...
% 172.04/22.30
% 172.04/22.30
% 172.04/22.30 % SZS status Theorem for theBenchmark.p
% 172.04/22.30
% 172.04/22.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 172.04/22.31
% 172.04/22.32
%------------------------------------------------------------------------------