TSTP Solution File: LCL153-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL153-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 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 : Wed May 31 12:18:25 EDT 2023
% Result : Unsatisfiable 0.15s 0.41s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 11
% Syntax : Number of formulae : 68 ( 68 unt; 0 def)
% Number of atoms : 68 ( 67 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 : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 82 (; 82 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : implies(truth,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : implies(implies(X,Y),Y) = implies(implies(Y,X),X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : implies(implies(not(X),not(Y)),implies(Y,X)) = truth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : or(X,Y) = implies(not(X),Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] : or(X,Y) = or(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] : and(X,Y) = not(or(not(X),not(Y))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,Y] : xor(X,Y) = or(and(X,not(Y)),and(not(X),Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X,Y] : xor(X,Y) = xor(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
not(truth) = falsehood,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
not(x) != xor(x,truth),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,plain,
! [X0] : implies(truth,X0) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f19,plain,
! [X0,X1,X2] : implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f20,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f21,plain,
! [X0,X1] : implies(implies(not(X0),not(X1)),implies(X1,X0)) = truth,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f22,plain,
! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f24,plain,
! [X0,X1] : or(X0,X1) = or(X1,X0),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f25,plain,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f28,plain,
! [X0,X1] : xor(X0,X1) = or(and(X0,not(X1)),and(not(X0),X1)),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f29,plain,
! [X0,X1] : xor(X0,X1) = xor(X1,X0),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f33,plain,
not(truth) = falsehood,
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f34,plain,
not(x) != xor(x,truth),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f42,plain,
not(x) != xor(truth,x),
inference(forward_demodulation,[status(thm)],[f29,f34]) ).
fof(f43,plain,
! [X0,X1] : implies(or(X0,not(X1)),implies(X1,X0)) = truth,
inference(backward_demodulation,[status(thm)],[f22,f21]) ).
fof(f45,plain,
! [X0] : implies(or(X0,not(truth)),X0) = truth,
inference(paramodulation,[status(thm)],[f18,f43]) ).
fof(f46,plain,
! [X0] : implies(or(X0,falsehood),X0) = truth,
inference(forward_demodulation,[status(thm)],[f33,f45]) ).
fof(f54,plain,
! [X0,X1] : implies(X0,implies(implies(X0,X1),implies(truth,X1))) = truth,
inference(paramodulation,[status(thm)],[f18,f19]) ).
fof(f55,plain,
! [X0,X1] : implies(X0,implies(implies(X0,X1),X1)) = truth,
inference(forward_demodulation,[status(thm)],[f18,f54]) ).
fof(f71,plain,
! [X0] : implies(implies(truth,X0),X0) = truth,
inference(paramodulation,[status(thm)],[f18,f55]) ).
fof(f72,plain,
! [X0] : implies(X0,X0) = truth,
inference(forward_demodulation,[status(thm)],[f18,f71]) ).
fof(f405,plain,
! [X0] : xor(truth,X0) = or(and(truth,not(X0)),and(falsehood,X0)),
inference(paramodulation,[status(thm)],[f33,f28]) ).
fof(f406,plain,
! [X0] : xor(truth,X0) = or(and(falsehood,X0),and(truth,not(X0))),
inference(forward_demodulation,[status(thm)],[f24,f405]) ).
fof(f420,plain,
! [X0] : implies(or(falsehood,X0),X0) = truth,
inference(paramodulation,[status(thm)],[f24,f46]) ).
fof(f494,plain,
! [X0,X1] : or(X0,implies(implies(not(X0),X1),X1)) = truth,
inference(paramodulation,[status(thm)],[f55,f22]) ).
fof(f495,plain,
! [X0,X1] : or(X0,implies(or(X0,X1),X1)) = truth,
inference(forward_demodulation,[status(thm)],[f22,f494]) ).
fof(f496,plain,
! [X0] : or(X0,not(X0)) = truth,
inference(paramodulation,[status(thm)],[f72,f22]) ).
fof(f497,plain,
! [X0] : or(truth,X0) = implies(falsehood,X0),
inference(paramodulation,[status(thm)],[f33,f22]) ).
fof(f587,plain,
implies(truth,not(falsehood)) = truth,
inference(paramodulation,[status(thm)],[f496,f420]) ).
fof(f588,plain,
not(falsehood) = truth,
inference(forward_demodulation,[status(thm)],[f18,f587]) ).
fof(f598,plain,
! [X0] : or(falsehood,X0) = implies(truth,X0),
inference(paramodulation,[status(thm)],[f588,f22]) ).
fof(f599,plain,
! [X0] : or(falsehood,X0) = X0,
inference(forward_demodulation,[status(thm)],[f18,f598]) ).
fof(f631,plain,
! [X0] : or(X0,falsehood) = X0,
inference(paramodulation,[status(thm)],[f24,f599]) ).
fof(f768,plain,
! [X0] : or(X0,truth) = implies(falsehood,X0),
inference(paramodulation,[status(thm)],[f24,f497]) ).
fof(f797,plain,
! [X0] : or(X0,implies(implies(falsehood,X0),truth)) = truth,
inference(paramodulation,[status(thm)],[f768,f495]) ).
fof(f814,plain,
! [X0] : implies(X0,X0) = implies(implies(X0,truth),truth),
inference(paramodulation,[status(thm)],[f18,f20]) ).
fof(f815,plain,
! [X0] : truth = implies(implies(X0,truth),truth),
inference(forward_demodulation,[status(thm)],[f72,f814]) ).
fof(f911,plain,
! [X0] : and(falsehood,X0) = not(or(truth,not(X0))),
inference(paramodulation,[status(thm)],[f588,f25]) ).
fof(f912,plain,
! [X0] : and(falsehood,X0) = not(implies(falsehood,not(X0))),
inference(forward_demodulation,[status(thm)],[f497,f911]) ).
fof(f913,plain,
! [X0] : and(truth,X0) = not(or(falsehood,not(X0))),
inference(paramodulation,[status(thm)],[f33,f25]) ).
fof(f914,plain,
! [X0] : and(truth,X0) = not(not(X0)),
inference(forward_demodulation,[status(thm)],[f599,f913]) ).
fof(f940,plain,
! [X0] : xor(truth,X0) = or(and(falsehood,X0),not(not(not(X0)))),
inference(backward_demodulation,[status(thm)],[f914,f406]) ).
fof(f987,plain,
! [X0] : truth = implies(or(X0,truth),truth),
inference(paramodulation,[status(thm)],[f22,f815]) ).
fof(f988,plain,
! [X0] : truth = implies(implies(falsehood,X0),truth),
inference(forward_demodulation,[status(thm)],[f768,f987]) ).
fof(f1036,plain,
! [X0] : or(X0,truth) = truth,
inference(backward_demodulation,[status(thm)],[f988,f797]) ).
fof(f1037,plain,
! [X0] : implies(falsehood,X0) = truth,
inference(forward_demodulation,[status(thm)],[f768,f1036]) ).
fof(f1072,plain,
! [X0] : and(falsehood,X0) = not(truth),
inference(backward_demodulation,[status(thm)],[f1037,f912]) ).
fof(f1073,plain,
! [X0] : and(falsehood,X0) = falsehood,
inference(forward_demodulation,[status(thm)],[f33,f1072]) ).
fof(f1085,plain,
! [X0] : xor(truth,X0) = or(falsehood,not(not(not(X0)))),
inference(backward_demodulation,[status(thm)],[f1073,f940]) ).
fof(f1086,plain,
! [X0] : xor(truth,X0) = not(not(not(X0))),
inference(forward_demodulation,[status(thm)],[f599,f1085]) ).
fof(f1193,plain,
! [X0] : implies(implies(X0,falsehood),falsehood) = implies(truth,X0),
inference(paramodulation,[status(thm)],[f1037,f20]) ).
fof(f1194,plain,
! [X0] : implies(implies(X0,falsehood),falsehood) = X0,
inference(forward_demodulation,[status(thm)],[f18,f1193]) ).
fof(f2204,plain,
! [X0] : implies(or(X0,falsehood),falsehood) = not(X0),
inference(paramodulation,[status(thm)],[f22,f1194]) ).
fof(f2205,plain,
! [X0] : implies(X0,falsehood) = not(X0),
inference(forward_demodulation,[status(thm)],[f631,f2204]) ).
fof(f2284,plain,
! [X0] : not(implies(X0,falsehood)) = X0,
inference(backward_demodulation,[status(thm)],[f2205,f1194]) ).
fof(f2285,plain,
! [X0] : not(not(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f2205,f2284]) ).
fof(f2294,plain,
! [X0] : xor(truth,X0) = not(X0),
inference(backward_demodulation,[status(thm)],[f2285,f1086]) ).
fof(f2339,plain,
not(x) != not(x),
inference(backward_demodulation,[status(thm)],[f2294,f42]) ).
fof(f2340,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f2339]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : LCL153-1 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.33 % Computer : n027.cluster.edu
% 0.09/0.33 % Model : x86_64 x86_64
% 0.09/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.33 % Memory : 8042.1875MB
% 0.09/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.33 % CPULimit : 300
% 0.09/0.33 % WCLimit : 300
% 0.09/0.33 % DateTime : Tue May 30 10:02:18 EDT 2023
% 0.09/0.33 % CPUTime :
% 0.09/0.34 % Drodi V3.5.1
% 0.15/0.41 % Refutation found
% 0.15/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.42 % Elapsed time: 0.090079 seconds
% 0.15/0.42 % CPU time: 0.245014 seconds
% 0.15/0.42 % Memory used: 6.326 MB
%------------------------------------------------------------------------------