TSTP Solution File: LCL146-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL146-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 12:18:24 EDT 2023
% Result : Unsatisfiable 0.21s 0.48s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 7
% Syntax : Number of formulae : 60 ( 60 unt; 0 def)
% Number of atoms : 60 ( 59 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 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 : 104 (; 104 !; 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(f4,axiom,
! [X,Y] : implies(implies(not(X),not(Y)),implies(Y,X)) = truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : big_V(X,Y) = implies(implies(X,Y),Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : big_hat(X,Y) = not(big_V(not(X),not(Y))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
not(big_hat(x,y)) != big_V(not(x),not(y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,plain,
! [X0] : implies(truth,X0) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f11,plain,
! [X0,X1,X2] : implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f12,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f13,plain,
! [X0,X1] : implies(implies(not(X0),not(X1)),implies(X1,X0)) = truth,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f14,plain,
! [X0,X1] : big_V(X0,X1) = implies(implies(X0,X1),X1),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f15,plain,
! [X0,X1] : big_hat(X0,X1) = not(big_V(not(X0),not(X1))),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f18,plain,
not(big_hat(x,y)) != big_V(not(x),not(y)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f37,plain,
! [X0] : big_V(truth,X0) = implies(X0,X0),
inference(paramodulation,[status(thm)],[f10,f14]) ).
fof(f64,plain,
! [X0,X1] : big_V(X0,X1) = implies(implies(X1,X0),X0),
inference(forward_demodulation,[status(thm)],[f14,f12]) ).
fof(f65,plain,
! [X0,X1] : big_V(X0,X1) = big_V(X1,X0),
inference(forward_demodulation,[status(thm)],[f14,f64]) ).
fof(f70,plain,
! [X0] : implies(X0,X0) = big_V(X0,truth),
inference(paramodulation,[status(thm)],[f37,f65]) ).
fof(f278,plain,
! [X0,X1] : implies(X0,implies(implies(X0,X1),implies(truth,X1))) = truth,
inference(paramodulation,[status(thm)],[f10,f11]) ).
fof(f279,plain,
! [X0,X1] : implies(X0,implies(implies(X0,X1),X1)) = truth,
inference(forward_demodulation,[status(thm)],[f10,f278]) ).
fof(f280,plain,
! [X0,X1] : implies(X0,big_V(X0,X1)) = truth,
inference(forward_demodulation,[status(thm)],[f14,f279]) ).
fof(f387,plain,
! [X0,X1] : big_V(implies(not(X0),not(X1)),implies(X1,X0)) = implies(truth,implies(X1,X0)),
inference(paramodulation,[status(thm)],[f13,f14]) ).
fof(f388,plain,
! [X0,X1] : big_V(implies(X0,X1),implies(not(X1),not(X0))) = implies(truth,implies(X0,X1)),
inference(forward_demodulation,[status(thm)],[f65,f387]) ).
fof(f389,plain,
! [X0,X1] : big_V(implies(X0,X1),implies(not(X1),not(X0))) = implies(X0,X1),
inference(forward_demodulation,[status(thm)],[f10,f388]) ).
fof(f395,plain,
! [X0] : implies(truth,implies(X0,X0)) = truth,
inference(paramodulation,[status(thm)],[f37,f280]) ).
fof(f396,plain,
! [X0] : implies(X0,X0) = truth,
inference(forward_demodulation,[status(thm)],[f10,f395]) ).
fof(f400,plain,
! [X0,X1] : implies(X0,big_V(X1,X0)) = truth,
inference(paramodulation,[status(thm)],[f65,f280]) ).
fof(f405,plain,
! [X0,X1,X2] : implies(implies(X0,X1),implies(truth,implies(X0,big_V(X1,X2)))) = truth,
inference(paramodulation,[status(thm)],[f280,f11]) ).
fof(f406,plain,
! [X0,X1,X2] : implies(implies(X0,X1),implies(X0,big_V(X1,X2))) = truth,
inference(forward_demodulation,[status(thm)],[f10,f405]) ).
fof(f414,plain,
! [X0] : truth = big_V(X0,truth),
inference(backward_demodulation,[status(thm)],[f396,f70]) ).
fof(f467,plain,
! [X0] : implies(X0,truth) = truth,
inference(paramodulation,[status(thm)],[f414,f280]) ).
fof(f563,plain,
! [X0,X1] : implies(truth,implies(implies(truth,X0),implies(X1,X0))) = truth,
inference(paramodulation,[status(thm)],[f467,f11]) ).
fof(f564,plain,
! [X0,X1] : implies(implies(truth,X0),implies(X1,X0)) = truth,
inference(forward_demodulation,[status(thm)],[f10,f563]) ).
fof(f565,plain,
! [X0,X1] : implies(X0,implies(X1,X0)) = truth,
inference(forward_demodulation,[status(thm)],[f10,f564]) ).
fof(f600,plain,
! [X0,X1] : big_V(X0,big_V(X1,X0)) = implies(truth,big_V(X1,X0)),
inference(paramodulation,[status(thm)],[f400,f14]) ).
fof(f601,plain,
! [X0,X1] : big_V(X0,big_V(X1,X0)) = big_V(X1,X0),
inference(forward_demodulation,[status(thm)],[f10,f600]) ).
fof(f1491,plain,
! [X0] : big_V(X0,implies(not(X0),not(truth))) = implies(truth,X0),
inference(paramodulation,[status(thm)],[f10,f389]) ).
fof(f1492,plain,
! [X0] : big_V(X0,implies(not(X0),not(truth))) = X0,
inference(forward_demodulation,[status(thm)],[f10,f1491]) ).
fof(f2302,plain,
! [X0,X1,X2] : implies(truth,implies(X0,big_V(implies(X1,X0),X2))) = truth,
inference(paramodulation,[status(thm)],[f565,f406]) ).
fof(f2303,plain,
! [X0,X1,X2] : implies(X0,big_V(implies(X1,X0),X2)) = truth,
inference(forward_demodulation,[status(thm)],[f10,f2302]) ).
fof(f2309,plain,
! [X0,X1,X2] : implies(truth,implies(X0,big_V(big_V(X0,X1),X2))) = truth,
inference(paramodulation,[status(thm)],[f280,f406]) ).
fof(f2310,plain,
! [X0,X1,X2] : implies(X0,big_V(big_V(X0,X1),X2)) = truth,
inference(forward_demodulation,[status(thm)],[f10,f2309]) ).
fof(f2409,plain,
! [X0,X1,X2] : implies(X0,big_V(X1,implies(X2,X0))) = truth,
inference(paramodulation,[status(thm)],[f601,f2303]) ).
fof(f2624,plain,
! [X0,X1,X2] : implies(X0,big_V(X1,big_V(X0,X2))) = truth,
inference(paramodulation,[status(thm)],[f601,f2310]) ).
fof(f2859,plain,
! [X0,X1] : implies(not(X0),implies(X0,X1)) = truth,
inference(paramodulation,[status(thm)],[f389,f2409]) ).
fof(f3441,plain,
! [X0,X1] : big_V(not(X0),implies(X0,X1)) = implies(truth,implies(X0,X1)),
inference(paramodulation,[status(thm)],[f2859,f14]) ).
fof(f3442,plain,
! [X0,X1] : big_V(not(X0),implies(X0,X1)) = implies(X0,X1),
inference(forward_demodulation,[status(thm)],[f10,f3441]) ).
fof(f4248,plain,
! [X0,X1,X2] : implies(not(X0),big_V(X1,implies(X0,X2))) = truth,
inference(paramodulation,[status(thm)],[f3442,f2624]) ).
fof(f5340,plain,
! [X0] : implies(not(not(X0)),X0) = truth,
inference(paramodulation,[status(thm)],[f1492,f4248]) ).
fof(f5512,plain,
! [X0] : big_V(implies(X0,not(not(X0))),truth) = implies(X0,not(not(X0))),
inference(paramodulation,[status(thm)],[f5340,f389]) ).
fof(f5513,plain,
! [X0] : truth = implies(X0,not(not(X0))),
inference(forward_demodulation,[status(thm)],[f414,f5512]) ).
fof(f5605,plain,
! [X0] : big_V(not(not(X0)),X0) = implies(truth,X0),
inference(paramodulation,[status(thm)],[f5340,f14]) ).
fof(f5606,plain,
! [X0] : big_V(X0,not(not(X0))) = implies(truth,X0),
inference(forward_demodulation,[status(thm)],[f65,f5605]) ).
fof(f5607,plain,
! [X0] : big_V(X0,not(not(X0))) = X0,
inference(forward_demodulation,[status(thm)],[f10,f5606]) ).
fof(f5759,plain,
! [X0] : big_V(X0,not(not(X0))) = implies(truth,not(not(X0))),
inference(paramodulation,[status(thm)],[f5513,f14]) ).
fof(f5760,plain,
! [X0] : X0 = implies(truth,not(not(X0))),
inference(forward_demodulation,[status(thm)],[f5607,f5759]) ).
fof(f5761,plain,
! [X0] : X0 = not(not(X0)),
inference(forward_demodulation,[status(thm)],[f10,f5760]) ).
fof(f5784,plain,
! [X0,X1] : big_V(not(X0),not(X1)) = not(big_hat(X0,X1)),
inference(paramodulation,[status(thm)],[f15,f5761]) ).
fof(f7784,plain,
not(big_hat(x,y)) != not(big_hat(x,y)),
inference(backward_demodulation,[status(thm)],[f5784,f18]) ).
fof(f7785,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f7784]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL146-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 09:38:50 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 0.21/0.48 % Refutation found
% 0.21/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.50 % Elapsed time: 0.153878 seconds
% 0.21/0.50 % CPU time: 1.077492 seconds
% 0.21/0.50 % Memory used: 51.878 MB
%------------------------------------------------------------------------------