TSTP Solution File: LCL161-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL161-1 : 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 0.14s 0.34s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 31 unt; 0 def)
% Number of atoms : 31 ( 30 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 36 (; 36 !; 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(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(truth,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(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(truth,x) != x,
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f29,plain,
! [X0,X1] : xor(X0,xor(truth,X1)) = xor(not(X0),X1),
inference(forward_demodulation,[status(thm)],[f15,f21]) ).
fof(f34,plain,
! [X0] : not(X0) = xor(truth,X0),
inference(paramodulation,[status(thm)],[f15,f23]) ).
fof(f42,plain,
! [X0,X1] : implies(X0,X1) = not(and_star(X0,xor(truth,X1))),
inference(backward_demodulation,[status(thm)],[f34,f27]) ).
fof(f43,plain,
! [X0,X1] : implies(X0,X1) = not(and_star(X0,not(X1))),
inference(forward_demodulation,[status(thm)],[f34,f42]) ).
fof(f48,plain,
! [X0,X1] : xor(X0,not(X1)) = xor(not(X0),X1),
inference(backward_demodulation,[status(thm)],[f34,f29]) ).
fof(f58,plain,
! [X0] : X0 = and_star(truth,X0),
inference(paramodulation,[status(thm)],[f18,f25]) ).
fof(f108,plain,
! [X0] : implies(truth,X0) = not(not(X0)),
inference(paramodulation,[status(thm)],[f58,f43]) ).
fof(f117,plain,
not(not(x)) != x,
inference(backward_demodulation,[status(thm)],[f108,f28]) ).
fof(f120,plain,
! [X0] : xor(X0,not(truth)) = not(not(X0)),
inference(paramodulation,[status(thm)],[f15,f48]) ).
fof(f121,plain,
! [X0] : xor(X0,falsehood) = not(not(X0)),
inference(forward_demodulation,[status(thm)],[f26,f120]) ).
fof(f122,plain,
! [X0] : X0 = not(not(X0)),
inference(forward_demodulation,[status(thm)],[f16,f121]) ).
fof(f144,plain,
x != x,
inference(backward_demodulation,[status(thm)],[f122,f117]) ).
fof(f145,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : LCL161-1 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.31 % Computer : n023.cluster.edu
% 0.14/0.31 % Model : x86_64 x86_64
% 0.14/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.31 % Memory : 8042.1875MB
% 0.14/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.31 % CPULimit : 300
% 0.14/0.31 % WCLimit : 300
% 0.14/0.31 % DateTime : Tue May 30 10:05:08 EDT 2023
% 0.14/0.31 % CPUTime :
% 0.14/0.32 % Drodi V3.5.1
% 0.14/0.34 % Refutation found
% 0.14/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.56 % Elapsed time: 0.028666 seconds
% 0.15/0.56 % CPU time: 0.015710 seconds
% 0.15/0.56 % Memory used: 325.228 KB
%------------------------------------------------------------------------------