TSTP Solution File: ROB004-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : ROB004-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 12:33:00 EDT 2023
% Result : Unsatisfiable 0.20s 0.41s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 7
% Syntax : Number of formulae : 67 ( 67 unt; 0 def)
% Number of atoms : 67 ( 66 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 60 (; 60 !; 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,
negate(d) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,hypothesis,
add(c,d) = d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,hypothesis,
add(c,c) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f9,plain,
! [X0,X1,X2] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f10,plain,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f11,plain,
negate(d) = c,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f12,plain,
add(c,d) = d,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f13,plain,
add(c,c) = c,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f14,plain,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f15,plain,
add(d,c) = d,
inference(forward_demodulation,[status(thm)],[f8,f12]) ).
fof(f16,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X1,add(X2,X0)),
inference(paramodulation,[status(thm)],[f8,f9]) ).
fof(f21,plain,
! [X0,X1,X2] : add(add(X0,X1),X2) = add(X1,add(X0,X2)),
inference(paramodulation,[status(thm)],[f8,f9]) ).
fof(f22,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X1,add(X0,X2)),
inference(forward_demodulation,[status(thm)],[f9,f21]) ).
fof(f27,plain,
! [X0] : add(d,X0) = add(d,add(c,X0)),
inference(paramodulation,[status(thm)],[f15,f9]) ).
fof(f29,plain,
negate(add(negate(d),negate(add(d,negate(c))))) = d,
inference(paramodulation,[status(thm)],[f15,f10]) ).
fof(f30,plain,
negate(add(c,negate(add(d,negate(c))))) = d,
inference(forward_demodulation,[status(thm)],[f11,f29]) ).
fof(f33,plain,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X1,negate(X0))))) = X1,
inference(paramodulation,[status(thm)],[f8,f10]) ).
fof(f41,plain,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(negate(X1),X0)))) = X0,
inference(paramodulation,[status(thm)],[f8,f10]) ).
fof(f95,plain,
negate(add(negate(add(c,add(d,negate(c)))),d)) = c,
inference(paramodulation,[status(thm)],[f30,f10]) ).
fof(f96,plain,
negate(add(d,negate(add(c,add(d,negate(c)))))) = c,
inference(forward_demodulation,[status(thm)],[f8,f95]) ).
fof(f97,plain,
negate(add(d,negate(add(d,add(negate(c),c))))) = c,
inference(forward_demodulation,[status(thm)],[f16,f96]) ).
fof(f98,plain,
negate(add(d,negate(add(d,add(c,negate(c)))))) = c,
inference(forward_demodulation,[status(thm)],[f8,f97]) ).
fof(f99,plain,
negate(add(d,negate(add(d,negate(c))))) = c,
inference(forward_demodulation,[status(thm)],[f27,f98]) ).
fof(f108,plain,
negate(add(c,negate(add(negate(add(d,negate(c))),negate(d))))) = negate(add(d,negate(c))),
inference(paramodulation,[status(thm)],[f99,f33]) ).
fof(f109,plain,
negate(add(c,negate(add(negate(d),negate(add(d,negate(c))))))) = negate(add(d,negate(c))),
inference(forward_demodulation,[status(thm)],[f8,f108]) ).
fof(f110,plain,
negate(add(c,negate(add(c,negate(add(d,negate(c))))))) = negate(add(d,negate(c))),
inference(forward_demodulation,[status(thm)],[f11,f109]) ).
fof(f111,plain,
negate(add(c,d)) = negate(add(d,negate(c))),
inference(forward_demodulation,[status(thm)],[f30,f110]) ).
fof(f112,plain,
negate(add(d,c)) = negate(add(d,negate(c))),
inference(forward_demodulation,[status(thm)],[f8,f111]) ).
fof(f113,plain,
negate(d) = negate(add(d,negate(c))),
inference(forward_demodulation,[status(thm)],[f15,f112]) ).
fof(f114,plain,
c = negate(add(d,negate(c))),
inference(forward_demodulation,[status(thm)],[f11,f113]) ).
fof(f149,plain,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(negate(X0),X1)))) = X1,
inference(paramodulation,[status(thm)],[f8,f33]) ).
fof(f151,plain,
! [X0] : negate(add(negate(add(add(d,negate(add(d,negate(c)))),X0)),negate(add(X0,c)))) = X0,
inference(paramodulation,[status(thm)],[f99,f33]) ).
fof(f152,plain,
! [X0] : negate(add(negate(add(X0,c)),negate(add(add(d,negate(add(d,negate(c)))),X0)))) = X0,
inference(forward_demodulation,[status(thm)],[f8,f151]) ).
fof(f153,plain,
! [X0] : negate(add(negate(add(X0,c)),negate(add(d,add(negate(add(d,negate(c))),X0))))) = X0,
inference(forward_demodulation,[status(thm)],[f9,f152]) ).
fof(f154,plain,
! [X0] : negate(add(negate(add(X0,c)),negate(add(d,add(c,X0))))) = X0,
inference(forward_demodulation,[status(thm)],[f114,f153]) ).
fof(f155,plain,
! [X0] : negate(add(negate(add(X0,c)),negate(add(d,X0)))) = X0,
inference(forward_demodulation,[status(thm)],[f27,f154]) ).
fof(f355,plain,
! [X0] : negate(add(negate(add(d,X0)),negate(add(X0,c)))) = X0,
inference(paramodulation,[status(thm)],[f8,f155]) ).
fof(f622,plain,
! [X0] : negate(add(negate(add(add(c,X0),c)),negate(add(d,X0)))) = add(c,X0),
inference(paramodulation,[status(thm)],[f27,f155]) ).
fof(f623,plain,
! [X0] : negate(add(negate(add(d,X0)),negate(add(add(c,X0),c)))) = add(c,X0),
inference(forward_demodulation,[status(thm)],[f8,f622]) ).
fof(f624,plain,
! [X0] : negate(add(negate(add(d,X0)),negate(add(c,add(X0,c))))) = add(c,X0),
inference(forward_demodulation,[status(thm)],[f9,f623]) ).
fof(f672,plain,
! [X0] : add(c,add(X0,c)) = add(X0,c),
inference(paramodulation,[status(thm)],[f13,f22]) ).
fof(f698,plain,
! [X0] : add(X0,c) = add(c,add(c,X0)),
inference(paramodulation,[status(thm)],[f13,f16]) ).
fof(f708,plain,
! [X0] : negate(add(negate(add(d,X0)),negate(add(X0,c)))) = add(c,X0),
inference(backward_demodulation,[status(thm)],[f672,f624]) ).
fof(f709,plain,
! [X0] : X0 = add(c,X0),
inference(forward_demodulation,[status(thm)],[f355,f708]) ).
fof(f714,plain,
! [X0] : add(X0,c) = add(c,X0),
inference(backward_demodulation,[status(thm)],[f709,f698]) ).
fof(f715,plain,
! [X0] : add(X0,c) = X0,
inference(forward_demodulation,[status(thm)],[f709,f714]) ).
fof(f794,plain,
! [X0] : negate(add(negate(add(X0,c)),negate(negate(X0)))) = c,
inference(paramodulation,[status(thm)],[f709,f33]) ).
fof(f795,plain,
! [X0] : negate(add(negate(negate(X0)),negate(add(X0,c)))) = c,
inference(forward_demodulation,[status(thm)],[f8,f794]) ).
fof(f796,plain,
! [X0] : negate(add(negate(negate(X0)),negate(X0))) = c,
inference(forward_demodulation,[status(thm)],[f715,f795]) ).
fof(f797,plain,
! [X0] : negate(add(negate(X0),negate(negate(X0)))) = c,
inference(forward_demodulation,[status(thm)],[f8,f796]) ).
fof(f1585,plain,
! [X0] : negate(add(negate(add(X0,negate(negate(X0)))),c)) = negate(negate(X0)),
inference(paramodulation,[status(thm)],[f797,f149]) ).
fof(f1586,plain,
! [X0] : negate(negate(add(X0,negate(negate(X0))))) = negate(negate(X0)),
inference(forward_demodulation,[status(thm)],[f715,f1585]) ).
fof(f1596,plain,
! [X0] : negate(add(c,negate(add(negate(negate(negate(X0))),negate(X0))))) = negate(X0),
inference(paramodulation,[status(thm)],[f797,f41]) ).
fof(f1597,plain,
! [X0] : negate(negate(add(negate(negate(negate(X0))),negate(X0)))) = negate(X0),
inference(forward_demodulation,[status(thm)],[f709,f1596]) ).
fof(f1598,plain,
! [X0] : negate(negate(add(negate(X0),negate(negate(negate(X0)))))) = negate(X0),
inference(forward_demodulation,[status(thm)],[f8,f1597]) ).
fof(f1599,plain,
! [X0] : negate(negate(negate(X0))) = negate(X0),
inference(forward_demodulation,[status(thm)],[f1586,f1598]) ).
fof(f1642,plain,
! [X0,X1] : negate(negate(X0)) = negate(add(negate(add(X1,X0)),negate(add(negate(X1),X0)))),
inference(paramodulation,[status(thm)],[f149,f1599]) ).
fof(f1643,plain,
! [X0] : negate(negate(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f149,f1642]) ).
fof(f1871,plain,
! [X0,X1] : negate(X0) = add(negate(add(X1,X0)),negate(add(negate(X1),X0))),
inference(paramodulation,[status(thm)],[f149,f1643]) ).
fof(f1893,plain,
negate(negate(b)) != b,
inference(backward_demodulation,[status(thm)],[f1871,f14]) ).
fof(f1894,plain,
b != b,
inference(forward_demodulation,[status(thm)],[f1643,f1893]) ).
fof(f1895,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f1894]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ROB004-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n017.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 : Tue May 30 10:36:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.20/0.41 % Refutation found
% 0.20/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.43 % Elapsed time: 0.082809 seconds
% 0.20/0.43 % CPU time: 0.560218 seconds
% 0.20/0.43 % Memory used: 7.182 MB
%------------------------------------------------------------------------------