TSTP Solution File: LCL157-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL157-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 0.14s 0.32s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 10
% Syntax : Number of formulae : 55 ( 55 unt; 0 def)
% Number of atoms : 55 ( 54 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 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 : 62 (; 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : implies(truth,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : implies(implies(X,Y),Y) = implies(implies(Y,X),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : or(X,Y) = implies(not(X),Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] : or(X,Y) = or(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] : and(X,Y) = not(or(not(X),not(Y))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y] : and(X,Y) = and(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X,Y] : and_star(X,Y) = not(or(not(X),not(Y))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
not(truth) = falsehood,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
and_star(x,falsehood) != falsehood,
file('/export/starexec/sandbox/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(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(f30,plain,
! [X0,X1] : and_star(X0,X1) = not(or(not(X0),not(X1))),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f33,plain,
not(truth) = falsehood,
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f34,plain,
and_star(x,falsehood) != falsehood,
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f35,plain,
! [X0,X1] : and_star(X0,X1) = and(X0,X1),
inference(forward_demodulation,[status(thm)],[f25,f30]) ).
fof(f42,plain,
and(x,falsehood) != falsehood,
inference(forward_demodulation,[status(thm)],[f35,f34]) ).
fof(f43,plain,
and(falsehood,x) != falsehood,
inference(forward_demodulation,[status(thm)],[f27,f42]) ).
fof(f47,plain,
! [X0,X1] : implies(X0,implies(implies(X0,X1),implies(truth,X1))) = truth,
inference(paramodulation,[status(thm)],[f18,f19]) ).
fof(f48,plain,
! [X0,X1] : implies(X0,implies(implies(X0,X1),X1)) = truth,
inference(forward_demodulation,[status(thm)],[f18,f47]) ).
fof(f56,plain,
! [X0] : or(truth,X0) = implies(falsehood,X0),
inference(paramodulation,[status(thm)],[f33,f22]) ).
fof(f62,plain,
! [X0] : or(X0,truth) = implies(falsehood,X0),
inference(paramodulation,[status(thm)],[f24,f56]) ).
fof(f70,plain,
! [X0,X1] : or(X0,implies(implies(not(X0),X1),X1)) = truth,
inference(paramodulation,[status(thm)],[f22,f48]) ).
fof(f71,plain,
! [X0,X1] : or(X0,implies(or(X0,X1),X1)) = truth,
inference(forward_demodulation,[status(thm)],[f22,f70]) ).
fof(f72,plain,
! [X0] : implies(implies(truth,X0),X0) = truth,
inference(paramodulation,[status(thm)],[f18,f48]) ).
fof(f73,plain,
! [X0] : implies(X0,X0) = truth,
inference(forward_demodulation,[status(thm)],[f18,f72]) ).
fof(f92,plain,
! [X0] : or(X0,not(X0)) = truth,
inference(paramodulation,[status(thm)],[f22,f73]) ).
fof(f117,plain,
! [X0] : or(X0,implies(implies(falsehood,X0),truth)) = truth,
inference(paramodulation,[status(thm)],[f62,f71]) ).
fof(f136,plain,
! [X0] : implies(X0,X0) = implies(implies(X0,truth),truth),
inference(paramodulation,[status(thm)],[f18,f20]) ).
fof(f137,plain,
! [X0] : truth = implies(implies(X0,truth),truth),
inference(forward_demodulation,[status(thm)],[f73,f136]) ).
fof(f147,plain,
or(truth,implies(implies(truth,falsehood),falsehood)) = truth,
inference(paramodulation,[status(thm)],[f20,f117]) ).
fof(f148,plain,
implies(falsehood,implies(implies(truth,falsehood),falsehood)) = truth,
inference(forward_demodulation,[status(thm)],[f56,f147]) ).
fof(f149,plain,
implies(falsehood,implies(falsehood,falsehood)) = truth,
inference(forward_demodulation,[status(thm)],[f18,f148]) ).
fof(f150,plain,
implies(falsehood,truth) = truth,
inference(forward_demodulation,[status(thm)],[f73,f149]) ).
fof(f174,plain,
! [X0] : implies(implies(falsehood,X0),implies(implies(X0,truth),truth)) = truth,
inference(paramodulation,[status(thm)],[f150,f19]) ).
fof(f175,plain,
! [X0] : implies(implies(falsehood,X0),truth) = truth,
inference(forward_demodulation,[status(thm)],[f137,f174]) ).
fof(f181,plain,
! [X0] : or(X0,truth) = truth,
inference(backward_demodulation,[status(thm)],[f175,f117]) ).
fof(f182,plain,
! [X0] : implies(falsehood,X0) = truth,
inference(forward_demodulation,[status(thm)],[f62,f181]) ).
fof(f195,plain,
! [X0] : implies(implies(X0,falsehood),falsehood) = implies(truth,X0),
inference(paramodulation,[status(thm)],[f182,f20]) ).
fof(f196,plain,
! [X0] : implies(implies(X0,falsehood),falsehood) = X0,
inference(forward_demodulation,[status(thm)],[f18,f195]) ).
fof(f360,plain,
! [X0] : implies(or(X0,falsehood),falsehood) = not(X0),
inference(paramodulation,[status(thm)],[f22,f196]) ).
fof(f381,plain,
! [X0] : implies(or(falsehood,X0),falsehood) = not(X0),
inference(paramodulation,[status(thm)],[f24,f360]) ).
fof(f405,plain,
implies(truth,falsehood) = not(not(falsehood)),
inference(paramodulation,[status(thm)],[f92,f381]) ).
fof(f406,plain,
falsehood = not(not(falsehood)),
inference(forward_demodulation,[status(thm)],[f18,f405]) ).
fof(f427,plain,
! [X0] : or(not(falsehood),X0) = implies(falsehood,X0),
inference(paramodulation,[status(thm)],[f406,f22]) ).
fof(f428,plain,
! [X0] : or(not(falsehood),X0) = truth,
inference(forward_demodulation,[status(thm)],[f182,f427]) ).
fof(f495,plain,
! [X0] : and(falsehood,X0) = not(truth),
inference(paramodulation,[status(thm)],[f428,f25]) ).
fof(f496,plain,
! [X0] : and(falsehood,X0) = falsehood,
inference(forward_demodulation,[status(thm)],[f33,f495]) ).
fof(f526,plain,
falsehood != falsehood,
inference(backward_demodulation,[status(thm)],[f496,f43]) ).
fof(f527,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f526]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : LCL157-1 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n008.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue May 30 09:52:08 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.09/0.30 % Drodi V3.5.1
% 0.14/0.32 % Refutation found
% 0.14/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.54 % Elapsed time: 0.029402 seconds
% 0.19/0.54 % CPU time: 0.052232 seconds
% 0.19/0.54 % Memory used: 1.219 MB
%------------------------------------------------------------------------------