%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM457+1 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n027.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 Jul 25 12:28:12 PM UTC 2025
% Result : Theorem 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 15 unt; 0 def)
% Number of atoms : 49 ( 26 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 41 ( 16 ~; 15 |; 3 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( sdtasdt0(xm,xn) = sz00
=> ( xm = sz00
| xn = sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( sdtasdt0(xm,xn) = sz00
=> ( xm = sz00
| xn = sz00 ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(25,plain,
sdtasdt0(xm,xn) = sz00,
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
sdtasdt0(xm,xn) = sz00,
inference(instantiation,[status(thm)],[25]) ).
fof(m_MulZero,plain,
! [W0] :
( aNaturalNumber0(W0)
=> ( sdtasdt0(W0,sz00) = sz00
& sz00 = sdtasdt0(sz00,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
cnf(14,plain,
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf,[status(esa)],[m_MulZero]) ).
cnf(l9,plain,
( ~ aNaturalNumber0(xn)
| sz00 = sdtasdt0(sz00,xn) ),
inference(instantiation,[status(thm)],[14]) ).
fof(mMulCanc,plain,
! [W0] :
( aNaturalNumber0(W0)
=> ( W0 != sz00
=> ! [W1,W2] :
( ( aNaturalNumber0(W1)
& aNaturalNumber0(W2) )
=> ( ( sdtasdt0(W0,W1) = sdtasdt0(W0,W2)
| sdtasdt0(W1,W0) = sdtasdt0(W2,W0) )
=> W1 = W2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulCanc) ).
cnf(20,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| X0 = sz00
| X1 = X2 ),
inference(cnf,[status(esa)],[mMulCanc]) ).
cnf(l2,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00)
| sdtasdt0(xm,xn) != sdtasdt0(sz00,xn)
| xn = sz00
| xm = sz00 ),
inference(instantiation,[status(thm)],[20]) ).
fof(m__624,plain,
( aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__624) ).
cnf(23,plain,
aNaturalNumber0(xm),
inference(cnf,[status(esa)],[m__624]) ).
cnf(l4,plain,
aNaturalNumber0(xm),
inference(instantiation,[status(thm)],[23]) ).
cnf(24,plain,
aNaturalNumber0(xn),
inference(cnf,[status(esa)],[m__624]) ).
cnf(l5,plain,
aNaturalNumber0(xn),
inference(instantiation,[status(thm)],[24]) ).
cnf(27,plain,
xn != sz00,
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l13,plain,
xn != sz00,
inference(instantiation,[status(thm)],[27]) ).
cnf(l12,plain,
aNaturalNumber0(xn),
inference(instantiation,[status(thm)],[24]) ).
fof(mSortsC,plain,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
cnf(0,plain,
aNaturalNumber0(sz00),
inference(cnf,[status(esa)],[mSortsC]) ).
cnf(l3,plain,
aNaturalNumber0(sz00),
inference(instantiation,[status(thm)],[0]) ).
cnf(26,plain,
xm != sz00,
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l14,plain,
xm != sz00,
inference(instantiation,[status(thm)],[26]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l9,l2,l4,l5,l13,l12,l3,l14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM457+1 : TPTP v9.0.0. Released v4.0.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n027.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Jul 21 12:13:19 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.12/0.38 % SZS status Theorem for theBenchmark
% 0.12/0.38 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------