TSTP Solution File: LCL159-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL159-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 12:18:26 EDT 2023
% Result : Unsatisfiable 0.15s 0.40s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 12
% Syntax : Number of formulae : 83 ( 83 unt; 0 def)
% Number of atoms : 83 ( 82 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 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 : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 108 (; 108 !; 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(f10,axiom,
! [X,Y] : and(X,Y) = and(Y,X),
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,
xor(x,xor(truth,y)) != xor(xor(x,truth),y),
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(f27,plain,
! [X0,X1] : and(X0,X1) = and(X1,X0),
inference(cnf_transformation,[status(esa)],[f10]) ).
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,
xor(x,xor(truth,y)) != xor(xor(x,truth),y),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f42,plain,
xor(x,xor(truth,y)) != xor(y,xor(x,truth)),
inference(forward_demodulation,[status(thm)],[f29,f34]) ).
fof(f43,plain,
xor(x,xor(truth,y)) != xor(y,xor(truth,x)),
inference(forward_demodulation,[status(thm)],[f29,f42]) ).
fof(f44,plain,
! [X0,X1] : implies(or(X0,not(X1)),implies(X1,X0)) = truth,
inference(backward_demodulation,[status(thm)],[f22,f21]) ).
fof(f46,plain,
! [X0] : implies(or(X0,not(truth)),X0) = truth,
inference(paramodulation,[status(thm)],[f18,f44]) ).
fof(f47,plain,
! [X0] : implies(or(X0,falsehood),X0) = truth,
inference(forward_demodulation,[status(thm)],[f33,f46]) ).
fof(f55,plain,
! [X0,X1] : implies(X0,implies(implies(X0,X1),implies(truth,X1))) = truth,
inference(paramodulation,[status(thm)],[f18,f19]) ).
fof(f56,plain,
! [X0,X1] : implies(X0,implies(implies(X0,X1),X1)) = truth,
inference(forward_demodulation,[status(thm)],[f18,f55]) ).
fof(f72,plain,
! [X0] : implies(implies(truth,X0),X0) = truth,
inference(paramodulation,[status(thm)],[f18,f56]) ).
fof(f73,plain,
! [X0] : implies(X0,X0) = truth,
inference(forward_demodulation,[status(thm)],[f18,f72]) ).
fof(f406,plain,
! [X0] : xor(truth,X0) = or(and(truth,not(X0)),and(falsehood,X0)),
inference(paramodulation,[status(thm)],[f33,f28]) ).
fof(f407,plain,
! [X0] : xor(truth,X0) = or(and(falsehood,X0),and(truth,not(X0))),
inference(forward_demodulation,[status(thm)],[f24,f406]) ).
fof(f414,plain,
! [X0,X1] : xor(X0,X1) = or(and(X0,not(X1)),and(X1,not(X0))),
inference(paramodulation,[status(thm)],[f27,f28]) ).
fof(f415,plain,
! [X0,X1] : xor(X0,X1) = or(and(not(X1),X0),and(not(X0),X1)),
inference(paramodulation,[status(thm)],[f27,f28]) ).
fof(f421,plain,
! [X0] : implies(or(falsehood,X0),X0) = truth,
inference(paramodulation,[status(thm)],[f24,f47]) ).
fof(f495,plain,
! [X0,X1] : or(X0,implies(implies(not(X0),X1),X1)) = truth,
inference(paramodulation,[status(thm)],[f56,f22]) ).
fof(f496,plain,
! [X0,X1] : or(X0,implies(or(X0,X1),X1)) = truth,
inference(forward_demodulation,[status(thm)],[f22,f495]) ).
fof(f497,plain,
! [X0] : or(X0,not(X0)) = truth,
inference(paramodulation,[status(thm)],[f73,f22]) ).
fof(f498,plain,
! [X0] : or(truth,X0) = implies(falsehood,X0),
inference(paramodulation,[status(thm)],[f33,f22]) ).
fof(f588,plain,
implies(truth,not(falsehood)) = truth,
inference(paramodulation,[status(thm)],[f497,f421]) ).
fof(f589,plain,
not(falsehood) = truth,
inference(forward_demodulation,[status(thm)],[f18,f588]) ).
fof(f599,plain,
! [X0] : or(falsehood,X0) = implies(truth,X0),
inference(paramodulation,[status(thm)],[f589,f22]) ).
fof(f600,plain,
! [X0] : or(falsehood,X0) = X0,
inference(forward_demodulation,[status(thm)],[f18,f599]) ).
fof(f632,plain,
! [X0] : or(X0,falsehood) = X0,
inference(paramodulation,[status(thm)],[f24,f600]) ).
fof(f769,plain,
! [X0] : or(X0,truth) = implies(falsehood,X0),
inference(paramodulation,[status(thm)],[f24,f498]) ).
fof(f798,plain,
! [X0] : or(X0,implies(implies(falsehood,X0),truth)) = truth,
inference(paramodulation,[status(thm)],[f769,f496]) ).
fof(f815,plain,
! [X0] : implies(X0,X0) = implies(implies(X0,truth),truth),
inference(paramodulation,[status(thm)],[f18,f20]) ).
fof(f816,plain,
! [X0] : truth = implies(implies(X0,truth),truth),
inference(forward_demodulation,[status(thm)],[f73,f815]) ).
fof(f912,plain,
! [X0] : and(falsehood,X0) = not(or(truth,not(X0))),
inference(paramodulation,[status(thm)],[f589,f25]) ).
fof(f913,plain,
! [X0] : and(falsehood,X0) = not(implies(falsehood,not(X0))),
inference(forward_demodulation,[status(thm)],[f498,f912]) ).
fof(f914,plain,
! [X0] : and(truth,X0) = not(or(falsehood,not(X0))),
inference(paramodulation,[status(thm)],[f33,f25]) ).
fof(f915,plain,
! [X0] : and(truth,X0) = not(not(X0)),
inference(forward_demodulation,[status(thm)],[f600,f914]) ).
fof(f941,plain,
! [X0] : xor(truth,X0) = or(and(falsehood,X0),not(not(not(X0)))),
inference(backward_demodulation,[status(thm)],[f915,f407]) ).
fof(f988,plain,
! [X0] : truth = implies(or(X0,truth),truth),
inference(paramodulation,[status(thm)],[f22,f816]) ).
fof(f989,plain,
! [X0] : truth = implies(implies(falsehood,X0),truth),
inference(forward_demodulation,[status(thm)],[f769,f988]) ).
fof(f1037,plain,
! [X0] : or(X0,truth) = truth,
inference(backward_demodulation,[status(thm)],[f989,f798]) ).
fof(f1038,plain,
! [X0] : implies(falsehood,X0) = truth,
inference(forward_demodulation,[status(thm)],[f769,f1037]) ).
fof(f1073,plain,
! [X0] : and(falsehood,X0) = not(truth),
inference(backward_demodulation,[status(thm)],[f1038,f913]) ).
fof(f1074,plain,
! [X0] : and(falsehood,X0) = falsehood,
inference(forward_demodulation,[status(thm)],[f33,f1073]) ).
fof(f1086,plain,
! [X0] : xor(truth,X0) = or(falsehood,not(not(not(X0)))),
inference(backward_demodulation,[status(thm)],[f1074,f941]) ).
fof(f1087,plain,
! [X0] : xor(truth,X0) = not(not(not(X0))),
inference(forward_demodulation,[status(thm)],[f600,f1086]) ).
fof(f1194,plain,
! [X0] : implies(implies(X0,falsehood),falsehood) = implies(truth,X0),
inference(paramodulation,[status(thm)],[f1038,f20]) ).
fof(f1195,plain,
! [X0] : implies(implies(X0,falsehood),falsehood) = X0,
inference(forward_demodulation,[status(thm)],[f18,f1194]) ).
fof(f2205,plain,
! [X0] : implies(or(X0,falsehood),falsehood) = not(X0),
inference(paramodulation,[status(thm)],[f22,f1195]) ).
fof(f2206,plain,
! [X0] : implies(X0,falsehood) = not(X0),
inference(forward_demodulation,[status(thm)],[f632,f2205]) ).
fof(f2285,plain,
! [X0] : not(implies(X0,falsehood)) = X0,
inference(backward_demodulation,[status(thm)],[f2206,f1195]) ).
fof(f2286,plain,
! [X0] : not(not(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f2206,f2285]) ).
fof(f2295,plain,
! [X0] : xor(truth,X0) = not(X0),
inference(backward_demodulation,[status(thm)],[f2286,f1087]) ).
fof(f2340,plain,
xor(x,xor(truth,y)) != xor(y,not(x)),
inference(backward_demodulation,[status(thm)],[f2295,f43]) ).
fof(f2341,plain,
xor(x,not(y)) != xor(y,not(x)),
inference(forward_demodulation,[status(thm)],[f2295,f2340]) ).
fof(f2540,plain,
! [X0,X1] : xor(not(X0),X1) = or(and(not(X1),not(X0)),and(X0,X1)),
inference(paramodulation,[status(thm)],[f2286,f415]) ).
fof(f2541,plain,
! [X0,X1] : xor(not(X0),X1) = or(and(X0,X1),and(not(X1),not(X0))),
inference(forward_demodulation,[status(thm)],[f24,f2540]) ).
fof(f2544,plain,
! [X0,X1] : xor(not(X0),X1) = or(and(not(X0),not(X1)),and(X1,X0)),
inference(paramodulation,[status(thm)],[f2286,f414]) ).
fof(f2545,plain,
! [X0,X1] : xor(not(X0),X1) = or(and(X1,X0),and(not(X0),not(X1))),
inference(forward_demodulation,[status(thm)],[f24,f2544]) ).
fof(f2546,plain,
! [X0,X1] : xor(not(X0),X1) = xor(not(X1),X0),
inference(forward_demodulation,[status(thm)],[f2541,f2545]) ).
fof(f2547,plain,
! [X0,X1] : xor(X0,not(X1)) = or(and(X0,X1),and(not(X1),not(X0))),
inference(paramodulation,[status(thm)],[f2286,f414]) ).
fof(f2548,plain,
! [X0,X1] : xor(X0,not(X1)) = xor(not(X0),X1),
inference(forward_demodulation,[status(thm)],[f2541,f2547]) ).
fof(f2595,plain,
! [X0,X1] : xor(not(X0),X1) = xor(X1,not(X0)),
inference(backward_demodulation,[status(thm)],[f2548,f2546]) ).
fof(f2596,plain,
! [X0,X1] : xor(X0,not(X1)) = xor(X1,not(X0)),
inference(forward_demodulation,[status(thm)],[f2548,f2595]) ).
fof(f2597,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f2341,f2596]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LCL159-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n023.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 09:56:38 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.10/0.32 % Drodi V3.5.1
% 0.15/0.40 % Refutation found
% 0.15/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.42 % Elapsed time: 0.099598 seconds
% 0.15/0.42 % CPU time: 0.325685 seconds
% 0.15/0.42 % Memory used: 8.024 MB
%------------------------------------------------------------------------------