TSTP Solution File: NUM478+2 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM478+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 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 : Tue Apr 30 20:34:51 EDT 2024
% Result : Theorem 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 16 unt; 0 def)
% Number of atoms : 62 ( 30 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 52 ( 21 ~; 18 |; 9 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [W0,W1,W2] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1)
& aNaturalNumber0(W2) )
=> sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,hypothesis,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,conjecture,
( ( aNaturalNumber0(sdtsldt0(xm,xl))
& xm = sdtasdt0(xl,sdtsldt0(xm,xl)) )
=> ( sdtasdt0(xn,xm) = sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl)))
| sdtasdt0(xn,sdtsldt0(xm,xl)) = sdtsldt0(sdtasdt0(xn,xm),xl) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
~ ( ( aNaturalNumber0(sdtsldt0(xm,xl))
& xm = sdtasdt0(xl,sdtsldt0(xm,xl)) )
=> ( sdtasdt0(xn,xm) = sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl)))
| sdtasdt0(xn,sdtsldt0(xm,xl)) = sdtsldt0(sdtasdt0(xn,xm),xl) ) ),
inference(negated_conjecture,[status(cth)],[f39]) ).
fof(f58,plain,
! [W0,W1] :
( ~ aNaturalNumber0(W0)
| ~ aNaturalNumber0(W1)
| sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f59,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f58]) ).
fof(f60,plain,
! [W0,W1,W2] :
( ~ aNaturalNumber0(W0)
| ~ aNaturalNumber0(W1)
| ~ aNaturalNumber0(W2)
| sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f60]) ).
fof(f142,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f143,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f149,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[status(esa)],[f38]) ).
fof(f150,plain,
( aNaturalNumber0(sdtsldt0(xm,xl))
& xm = sdtasdt0(xl,sdtsldt0(xm,xl))
& sdtasdt0(xn,xm) != sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl)))
& sdtasdt0(xn,sdtsldt0(xm,xl)) != sdtsldt0(sdtasdt0(xn,xm),xl) ),
inference(pre_NNF_transformation,[status(esa)],[f40]) ).
fof(f151,plain,
aNaturalNumber0(sdtsldt0(xm,xl)),
inference(cnf_transformation,[status(esa)],[f150]) ).
fof(f152,plain,
xm = sdtasdt0(xl,sdtsldt0(xm,xl)),
inference(cnf_transformation,[status(esa)],[f150]) ).
fof(f153,plain,
sdtasdt0(xn,xm) != sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(cnf_transformation,[status(esa)],[f150]) ).
fof(f182,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xn) = sdtasdt0(xn,X0) ),
inference(resolution,[status(thm)],[f59,f149]) ).
fof(f186,plain,
sdtasdt0(xm,xn) = sdtasdt0(xn,xm),
inference(resolution,[status(thm)],[f182,f143]) ).
fof(f187,plain,
sdtasdt0(xl,xn) = sdtasdt0(xn,xl),
inference(resolution,[status(thm)],[f182,f142]) ).
fof(f189,plain,
sdtasdt0(xm,xn) != sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(backward_demodulation,[status(thm)],[f186,f153]) ).
fof(f202,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(xm,xl)) = sdtasdt0(X0,sdtasdt0(X1,sdtsldt0(xm,xl))) ),
inference(resolution,[status(thm)],[f61,f151]) ).
fof(f415,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,xn),sdtsldt0(xm,xl)) = sdtasdt0(X0,sdtasdt0(xn,sdtsldt0(xm,xl))) ),
inference(resolution,[status(thm)],[f202,f149]) ).
fof(f417,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,xl),sdtsldt0(xm,xl)) = sdtasdt0(X0,sdtasdt0(xl,sdtsldt0(xm,xl))) ),
inference(resolution,[status(thm)],[f202,f142]) ).
fof(f418,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,xl),sdtsldt0(xm,xl)) = sdtasdt0(X0,xm) ),
inference(forward_demodulation,[status(thm)],[f152,f417]) ).
fof(f424,plain,
sdtasdt0(sdtasdt0(xn,xl),sdtsldt0(xm,xl)) = sdtasdt0(xn,xm),
inference(resolution,[status(thm)],[f418,f149]) ).
fof(f425,plain,
sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) = sdtasdt0(xn,xm),
inference(forward_demodulation,[status(thm)],[f187,f424]) ).
fof(f426,plain,
sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) = sdtasdt0(xm,xn),
inference(forward_demodulation,[status(thm)],[f186,f425]) ).
fof(f460,plain,
sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) = sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(resolution,[status(thm)],[f415,f142]) ).
fof(f461,plain,
sdtasdt0(xm,xn) = sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(forward_demodulation,[status(thm)],[f426,f460]) ).
fof(f462,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f461,f189]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM478+2 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % 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 Apr 29 20:53:56 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.35 % Drodi V3.6.0
% 0.19/0.48 % Refutation found
% 0.19/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.49 % Elapsed time: 0.149872 seconds
% 0.19/0.49 % CPU time: 1.061811 seconds
% 0.19/0.49 % Total memory used: 74.729 MB
% 0.19/0.49 % Net memory used: 73.974 MB
%------------------------------------------------------------------------------