TSTP Solution File: LCL163-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL163-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 : Tue Apr 30 20:26:31 EDT 2024
% Result : Unsatisfiable 0.16s 0.47s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 10
% Syntax : Number of formulae : 67 ( 67 unt; 0 def)
% Number of atoms : 67 ( 66 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 110 ( 110 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : not(X) = xor(X,truth),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : xor(X,falsehood) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : and_star(X,truth) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] : xor(X,xor(truth,Y)) = xor(xor(X,truth),Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] : and_star(xor(and_star(xor(truth,X),Y),truth),Y) = and_star(xor(and_star(xor(truth,Y),X),truth),X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y] : xor(X,Y) = xor(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,Y] : and_star(X,Y) = and_star(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
not(truth) = falsehood,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X,Y] : implies(X,Y) = xor(truth,and_star(X,xor(truth,Y))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
implies(implies(x,y),y) != implies(implies(y,x),x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,plain,
! [X0] : not(X0) = xor(X0,truth),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f16,plain,
! [X0] : xor(X0,falsehood) = X0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f18,plain,
! [X0] : and_star(X0,truth) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f21,plain,
! [X0,X1] : xor(X0,xor(truth,X1)) = xor(xor(X0,truth),X1),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f22,plain,
! [X0,X1] : and_star(xor(and_star(xor(truth,X0),X1),truth),X1) = and_star(xor(and_star(xor(truth,X1),X0),truth),X0),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f23,plain,
! [X0,X1] : xor(X0,X1) = xor(X1,X0),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f25,plain,
! [X0,X1] : and_star(X0,X1) = and_star(X1,X0),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f26,plain,
not(truth) = falsehood,
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f27,plain,
! [X0,X1] : implies(X0,X1) = xor(truth,and_star(X0,xor(truth,X1))),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f28,plain,
implies(implies(x,y),y) != implies(implies(y,x),x),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f29,plain,
! [X0,X1,X2] : implies(X0,and_star(X1,xor(truth,X2))) = xor(truth,and_star(X0,implies(X1,X2))),
inference(paramodulation,[status(thm)],[f27,f27]) ).
fof(f69,plain,
! [X0] : not(X0) = xor(truth,X0),
inference(paramodulation,[status(thm)],[f15,f23]) ).
fof(f70,plain,
! [X0] : X0 = xor(falsehood,X0),
inference(paramodulation,[status(thm)],[f16,f23]) ).
fof(f75,plain,
! [X0,X1] : implies(X0,X1) = xor(truth,and_star(X0,xor(X1,truth))),
inference(paramodulation,[status(thm)],[f23,f27]) ).
fof(f76,plain,
! [X0,X1] : implies(X0,X1) = xor(truth,and_star(X0,not(X1))),
inference(forward_demodulation,[status(thm)],[f15,f75]) ).
fof(f92,plain,
! [X0] : X0 = and_star(truth,X0),
inference(paramodulation,[status(thm)],[f18,f25]) ).
fof(f98,plain,
! [X0,X1] : implies(X0,X1) = xor(truth,and_star(xor(truth,X1),X0)),
inference(paramodulation,[status(thm)],[f25,f27]) ).
fof(f106,plain,
! [X0] : implies(truth,X0) = xor(truth,xor(truth,X0)),
inference(paramodulation,[status(thm)],[f92,f27]) ).
fof(f127,plain,
! [X0,X1] : xor(X0,xor(truth,X1)) = xor(not(X0),X1),
inference(forward_demodulation,[status(thm)],[f15,f21]) ).
fof(f166,plain,
! [X0,X1] : and_star(X0,xor(and_star(xor(truth,X1),X0),truth)) = and_star(xor(and_star(xor(truth,X0),X1),truth),X1),
inference(forward_demodulation,[status(thm)],[f25,f22]) ).
fof(f167,plain,
! [X0,X1] : and_star(X0,not(and_star(xor(truth,X1),X0))) = and_star(xor(and_star(xor(truth,X0),X1),truth),X1),
inference(forward_demodulation,[status(thm)],[f15,f166]) ).
fof(f168,plain,
! [X0,X1] : and_star(X0,not(and_star(xor(truth,X1),X0))) = and_star(X1,xor(and_star(xor(truth,X0),X1),truth)),
inference(forward_demodulation,[status(thm)],[f25,f167]) ).
fof(f169,plain,
! [X0,X1] : and_star(X0,not(and_star(xor(truth,X1),X0))) = and_star(X1,not(and_star(xor(truth,X0),X1))),
inference(forward_demodulation,[status(thm)],[f15,f168]) ).
fof(f307,plain,
! [X0,X1] : implies(X0,X1) = xor(truth,and_star(not(X1),X0)),
inference(paramodulation,[status(thm)],[f25,f76]) ).
fof(f332,plain,
! [X0] : implies(truth,X0) = xor(not(truth),X0),
inference(forward_demodulation,[status(thm)],[f127,f106]) ).
fof(f333,plain,
! [X0] : implies(truth,X0) = xor(falsehood,X0),
inference(forward_demodulation,[status(thm)],[f26,f332]) ).
fof(f334,plain,
! [X0] : implies(truth,X0) = X0,
inference(forward_demodulation,[status(thm)],[f70,f333]) ).
fof(f344,plain,
! [X0,X1] : implies(not(X0),X1) = implies(not(X1),X0),
inference(paramodulation,[status(thm)],[f76,f307]) ).
fof(f345,plain,
! [X0,X1] : implies(xor(truth,X0),X1) = implies(not(X1),X0),
inference(paramodulation,[status(thm)],[f27,f307]) ).
fof(f504,plain,
! [X0,X1] : implies(not(and_star(xor(truth,X0),xor(truth,X1))),X1) = xor(truth,and_star(X0,not(and_star(xor(truth,xor(truth,X1)),X0)))),
inference(paramodulation,[status(thm)],[f169,f98]) ).
fof(f505,plain,
! [X0,X1] : implies(not(X0),and_star(xor(truth,X1),xor(truth,X0))) = xor(truth,and_star(X1,not(and_star(xor(truth,xor(truth,X0)),X1)))),
inference(forward_demodulation,[status(thm)],[f344,f504]) ).
fof(f506,plain,
! [X0,X1] : xor(truth,and_star(not(X0),implies(xor(truth,X1),X0))) = xor(truth,and_star(X1,not(and_star(xor(truth,xor(truth,X0)),X1)))),
inference(forward_demodulation,[status(thm)],[f29,f505]) ).
fof(f507,plain,
! [X0,X1] : implies(implies(xor(truth,X0),X1),X1) = xor(truth,and_star(X0,not(and_star(xor(truth,xor(truth,X1)),X0)))),
inference(forward_demodulation,[status(thm)],[f307,f506]) ).
fof(f508,plain,
! [X0,X1] : implies(implies(not(X0),X1),X0) = xor(truth,and_star(X1,not(and_star(xor(truth,xor(truth,X0)),X1)))),
inference(forward_demodulation,[status(thm)],[f345,f507]) ).
fof(f509,plain,
! [X0,X1] : implies(implies(not(X0),X1),X0) = implies(X1,and_star(xor(truth,xor(truth,X0)),X1)),
inference(forward_demodulation,[status(thm)],[f76,f508]) ).
fof(f510,plain,
! [X0,X1] : implies(implies(not(X0),X1),X0) = implies(X1,and_star(xor(not(truth),X0),X1)),
inference(forward_demodulation,[status(thm)],[f127,f509]) ).
fof(f511,plain,
! [X0,X1] : implies(implies(not(X0),X1),X0) = implies(X1,and_star(xor(falsehood,X0),X1)),
inference(forward_demodulation,[status(thm)],[f26,f510]) ).
fof(f512,plain,
! [X0,X1] : implies(implies(not(X0),X1),X0) = implies(X1,and_star(X0,X1)),
inference(forward_demodulation,[status(thm)],[f70,f511]) ).
fof(f589,plain,
! [X0,X1] : implies(X0,X1) = not(and_star(xor(truth,X1),X0)),
inference(backward_demodulation,[status(thm)],[f69,f98]) ).
fof(f590,plain,
! [X0,X1] : implies(X0,X1) = not(and_star(not(X1),X0)),
inference(forward_demodulation,[status(thm)],[f69,f589]) ).
fof(f592,plain,
! [X0,X1] : implies(X0,X1) = not(and_star(X0,not(X1))),
inference(backward_demodulation,[status(thm)],[f69,f76]) ).
fof(f634,plain,
! [X0] : implies(truth,X0) = not(not(X0)),
inference(paramodulation,[status(thm)],[f18,f590]) ).
fof(f635,plain,
! [X0] : X0 = not(not(X0)),
inference(forward_demodulation,[status(thm)],[f334,f634]) ).
fof(f818,plain,
! [X0,X1] : and_star(not(X0),X1) = not(implies(X1,X0)),
inference(paramodulation,[status(thm)],[f590,f635]) ).
fof(f819,plain,
! [X0,X1] : and_star(X0,not(X1)) = not(implies(X0,X1)),
inference(paramodulation,[status(thm)],[f592,f635]) ).
fof(f828,plain,
! [X0,X1] : implies(X0,not(X1)) = not(and_star(X0,X1)),
inference(paramodulation,[status(thm)],[f635,f592]) ).
fof(f1828,plain,
! [X0,X1] : implies(not(and_star(not(X0),X1)),X0) = implies(not(X1),and_star(X0,not(X1))),
inference(paramodulation,[status(thm)],[f828,f512]) ).
fof(f1829,plain,
! [X0,X1] : implies(not(X0),and_star(not(X0),X1)) = implies(not(X1),and_star(X0,not(X1))),
inference(forward_demodulation,[status(thm)],[f344,f1828]) ).
fof(f1830,plain,
! [X0,X1] : implies(not(X0),not(implies(X1,X0))) = implies(not(X1),and_star(X0,not(X1))),
inference(forward_demodulation,[status(thm)],[f818,f1829]) ).
fof(f1831,plain,
! [X0,X1] : not(and_star(not(X0),implies(X1,X0))) = implies(not(X1),and_star(X0,not(X1))),
inference(forward_demodulation,[status(thm)],[f828,f1830]) ).
fof(f1832,plain,
! [X0,X1] : not(not(implies(implies(X0,X1),X1))) = implies(not(X0),and_star(X1,not(X0))),
inference(forward_demodulation,[status(thm)],[f818,f1831]) ).
fof(f1833,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(not(X0),and_star(X1,not(X0))),
inference(forward_demodulation,[status(thm)],[f635,f1832]) ).
fof(f1834,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(not(X0),not(implies(X1,X0))),
inference(forward_demodulation,[status(thm)],[f819,f1833]) ).
fof(f1835,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = not(and_star(not(X0),implies(X1,X0))),
inference(forward_demodulation,[status(thm)],[f828,f1834]) ).
fof(f1836,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = not(not(implies(implies(X1,X0),X0))),
inference(forward_demodulation,[status(thm)],[f818,f1835]) ).
fof(f1837,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
inference(forward_demodulation,[status(thm)],[f635,f1836]) ).
fof(f1910,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f28,f1837]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : LCL163-1 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n020.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Mon Apr 29 20:30:02 EDT 2024
% 0.10/0.33 % CPUTime :
% 0.10/0.34 % Drodi V3.6.0
% 0.16/0.47 % Refutation found
% 0.16/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.49 % Elapsed time: 0.149579 seconds
% 0.16/0.49 % CPU time: 1.098296 seconds
% 0.16/0.49 % Total memory used: 32.344 MB
% 0.16/0.49 % Net memory used: 31.659 MB
%------------------------------------------------------------------------------