TSTP Solution File: ROB022-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : ROB022-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 : Wed May 31 12:33:02 EDT 2023
% Result : Unsatisfiable 2.04s 0.63s
% Output : CNFRefutation 2.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 5
% Syntax : Number of formulae : 58 ( 58 unt; 0 def)
% Number of atoms : 58 ( 57 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 65 (; 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : add(X,Y) = add(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : add(add(X,Y),Z) = add(X,add(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : negate(add(negate(add(X,Y)),negate(add(X,negate(Y))))) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,hypothesis,
add(c,negate(c)) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f7,plain,
! [X0,X1,X2] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f8,plain,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f9,plain,
add(c,negate(c)) = c,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f10,plain,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f11,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X1,add(X2,X0)),
inference(paramodulation,[status(thm)],[f6,f7]) ).
fof(f16,plain,
! [X0,X1,X2] : add(add(X0,X1),X2) = add(X1,add(X0,X2)),
inference(paramodulation,[status(thm)],[f6,f7]) ).
fof(f17,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X1,add(X0,X2)),
inference(forward_demodulation,[status(thm)],[f7,f16]) ).
fof(f32,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X2,add(X1,X0)),
inference(paramodulation,[status(thm)],[f6,f11]) ).
fof(f217,plain,
! [X0,X1] : negate(add(X0,negate(add(negate(add(X0,X1)),negate(negate(add(X0,negate(X1)))))))) = negate(add(X0,X1)),
inference(paramodulation,[status(thm)],[f8,f8]) ).
fof(f226,plain,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X1,negate(X0))))) = X1,
inference(paramodulation,[status(thm)],[f6,f8]) ).
fof(f375,plain,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(negate(X0),X1)))) = X1,
inference(paramodulation,[status(thm)],[f6,f226]) ).
fof(f386,plain,
! [X0,X1] : negate(add(X0,negate(add(negate(add(X1,X0)),negate(negate(add(X0,negate(X1)))))))) = negate(add(X1,X0)),
inference(paramodulation,[status(thm)],[f226,f8]) ).
fof(f533,plain,
negate(add(negate(add(c,c)),negate(c))) = c,
inference(paramodulation,[status(thm)],[f9,f226]) ).
fof(f534,plain,
negate(add(negate(c),negate(add(c,c)))) = c,
inference(forward_demodulation,[status(thm)],[f6,f533]) ).
fof(f542,plain,
! [X0] : add(negate(c),add(c,X0)) = add(X0,c),
inference(paramodulation,[status(thm)],[f9,f32]) ).
fof(f543,plain,
! [X0] : add(c,add(negate(c),X0)) = add(X0,c),
inference(forward_demodulation,[status(thm)],[f17,f542]) ).
fof(f546,plain,
! [X0] : add(c,add(X0,negate(c))) = add(X0,c),
inference(paramodulation,[status(thm)],[f9,f17]) ).
fof(f553,plain,
negate(add(negate(add(c,negate(add(c,c)))),c)) = negate(add(c,c)),
inference(paramodulation,[status(thm)],[f534,f375]) ).
fof(f554,plain,
negate(add(c,negate(add(c,negate(add(c,c)))))) = negate(add(c,c)),
inference(forward_demodulation,[status(thm)],[f6,f553]) ).
fof(f558,plain,
negate(add(negate(add(add(c,c),negate(c))),c)) = negate(c),
inference(paramodulation,[status(thm)],[f534,f226]) ).
fof(f559,plain,
negate(add(c,negate(add(add(c,c),negate(c))))) = negate(c),
inference(forward_demodulation,[status(thm)],[f6,f558]) ).
fof(f560,plain,
negate(add(c,negate(add(c,add(c,negate(c)))))) = negate(c),
inference(forward_demodulation,[status(thm)],[f7,f559]) ).
fof(f561,plain,
negate(add(c,negate(add(c,c)))) = negate(c),
inference(forward_demodulation,[status(thm)],[f546,f560]) ).
fof(f577,plain,
! [X0] : negate(add(negate(add(add(negate(c),negate(add(c,c))),X0)),negate(add(X0,c)))) = X0,
inference(paramodulation,[status(thm)],[f534,f226]) ).
fof(f578,plain,
! [X0] : negate(add(negate(add(X0,c)),negate(add(add(negate(c),negate(add(c,c))),X0)))) = X0,
inference(forward_demodulation,[status(thm)],[f6,f577]) ).
fof(f579,plain,
! [X0] : negate(add(negate(add(X0,c)),negate(add(negate(c),add(negate(add(c,c)),X0))))) = X0,
inference(forward_demodulation,[status(thm)],[f7,f578]) ).
fof(f582,plain,
negate(add(c,negate(c))) = negate(add(c,c)),
inference(backward_demodulation,[status(thm)],[f561,f554]) ).
fof(f583,plain,
negate(c) = negate(add(c,c)),
inference(forward_demodulation,[status(thm)],[f9,f582]) ).
fof(f586,plain,
! [X0] : negate(add(negate(add(X0,c)),negate(add(negate(c),add(negate(c),X0))))) = X0,
inference(backward_demodulation,[status(thm)],[f583,f579]) ).
fof(f710,plain,
! [X0] : negate(add(negate(add(X0,c)),negate(add(negate(c),add(negate(c),X0))))) = add(negate(c),X0),
inference(paramodulation,[status(thm)],[f543,f375]) ).
fof(f711,plain,
! [X0] : X0 = add(negate(c),X0),
inference(forward_demodulation,[status(thm)],[f586,f710]) ).
fof(f813,plain,
! [X0,X1] : negate(add(X0,negate(add(negate(add(X1,X0)),negate(negate(add(X0,negate(X1)))))))) = negate(add(X0,X1)),
inference(paramodulation,[status(thm)],[f6,f217]) ).
fof(f814,plain,
! [X0,X1] : negate(add(X0,X1)) = negate(add(X1,X0)),
inference(forward_demodulation,[status(thm)],[f386,f813]) ).
fof(f904,plain,
! [X0] : X0 = add(X0,negate(c)),
inference(paramodulation,[status(thm)],[f6,f711]) ).
fof(f910,plain,
! [X0] : negate(negate(add(negate(add(negate(c),X0)),negate(negate(add(negate(c),negate(X0))))))) = negate(add(negate(c),X0)),
inference(paramodulation,[status(thm)],[f711,f217]) ).
fof(f911,plain,
! [X0] : negate(negate(add(negate(X0),negate(negate(add(negate(c),negate(X0))))))) = negate(add(negate(c),X0)),
inference(forward_demodulation,[status(thm)],[f711,f910]) ).
fof(f912,plain,
! [X0] : negate(negate(add(negate(X0),negate(negate(negate(X0)))))) = negate(add(negate(c),X0)),
inference(forward_demodulation,[status(thm)],[f711,f911]) ).
fof(f913,plain,
! [X0] : negate(negate(add(negate(X0),negate(negate(negate(X0)))))) = negate(X0),
inference(forward_demodulation,[status(thm)],[f711,f912]) ).
fof(f920,plain,
! [X0] : negate(add(negate(add(X0,negate(c))),negate(negate(X0)))) = negate(c),
inference(paramodulation,[status(thm)],[f711,f226]) ).
fof(f921,plain,
! [X0] : negate(add(negate(negate(X0)),negate(add(X0,negate(c))))) = negate(c),
inference(forward_demodulation,[status(thm)],[f814,f920]) ).
fof(f922,plain,
! [X0] : negate(add(negate(negate(X0)),negate(X0))) = negate(c),
inference(forward_demodulation,[status(thm)],[f904,f921]) ).
fof(f923,plain,
! [X0] : negate(add(negate(X0),negate(negate(X0)))) = negate(c),
inference(forward_demodulation,[status(thm)],[f814,f922]) ).
fof(f1520,plain,
! [X0] : negate(add(negate(add(X0,negate(negate(X0)))),negate(c))) = negate(negate(X0)),
inference(paramodulation,[status(thm)],[f923,f375]) ).
fof(f1521,plain,
! [X0] : negate(add(negate(c),negate(add(X0,negate(negate(X0)))))) = negate(negate(X0)),
inference(forward_demodulation,[status(thm)],[f814,f1520]) ).
fof(f1522,plain,
! [X0] : negate(negate(add(X0,negate(negate(X0))))) = negate(negate(X0)),
inference(forward_demodulation,[status(thm)],[f711,f1521]) ).
fof(f1572,plain,
! [X0] : negate(negate(negate(X0))) = negate(X0),
inference(backward_demodulation,[status(thm)],[f1522,f913]) ).
fof(f1575,plain,
! [X0,X1] : negate(negate(X0)) = negate(add(negate(add(X1,X0)),negate(add(negate(X1),X0)))),
inference(paramodulation,[status(thm)],[f375,f1572]) ).
fof(f1576,plain,
! [X0] : negate(negate(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f375,f1575]) ).
fof(f2079,plain,
! [X0,X1] : negate(X0) = add(negate(add(X1,X0)),negate(add(negate(X1),X0))),
inference(paramodulation,[status(thm)],[f375,f1576]) ).
fof(f2115,plain,
negate(negate(b)) != b,
inference(backward_demodulation,[status(thm)],[f2079,f10]) ).
fof(f2116,plain,
b != b,
inference(forward_demodulation,[status(thm)],[f1576,f2115]) ).
fof(f2117,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f2116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ROB022-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n031.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 11:33:37 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 2.04/0.63 % Refutation found
% 2.04/0.63 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.04/0.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.22/0.64 % Elapsed time: 0.295266 seconds
% 2.22/0.64 % CPU time: 2.242288 seconds
% 2.22/0.64 % Memory used: 21.079 MB
%------------------------------------------------------------------------------