TSTP Solution File: LCL109-10 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL109-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 20:26:22 EDT 2024
% Result : Unsatisfiable 15.60s 2.40s
% Output : CNFRefutation 16.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 9
% Syntax : Number of formulae : 48 ( 48 unt; 0 def)
% Number of atoms : 48 ( 47 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 82 ( 82 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X] : implies(truth,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : implies(implies(X,Y),Y) = implies(implies(Y,X),X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : implies(implies(not(X),not(Y)),implies(Y,X)) = truth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y] : implies(X,implies(Y,X)) = truth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X,Y,Z] : implies(X,implies(Y,Z)) = implies(Y,implies(X,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X] : implies(X,not(truth)) = not(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X] : not(not(X)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X,Y] : implies(not(X),not(Y)) = implies(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
implies(implies(implies(a,b),implies(b,a)),implies(b,a)) != truth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,plain,
! [X0] : implies(truth,X0) = X0,
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)],[f4]) ).
fof(f21,plain,
! [X0,X1] : implies(implies(not(X0),not(X1)),implies(X1,X0)) = truth,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f25,plain,
! [X0,X1] : implies(X0,implies(X1,X0)) = truth,
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f28,plain,
! [X0,X1,X2] : implies(X0,implies(X1,X2)) = implies(X1,implies(X0,X2)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f29,plain,
! [X0] : implies(X0,not(truth)) = not(X0),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f30,plain,
! [X0] : not(not(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f31,plain,
! [X0,X1] : implies(not(X0),not(X1)) = implies(X1,X0),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f32,plain,
implies(implies(implies(a,b),implies(b,a)),implies(b,a)) != truth,
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f72,plain,
! [X0,X1] : implies(X0,not(X1)) = implies(X1,not(X0)),
inference(paramodulation,[status(thm)],[f30,f31]) ).
fof(f189,plain,
! [X0,X1] : implies(implies(X0,X1),not(X0)) = implies(implies(not(X0),not(X1)),not(X1)),
inference(paramodulation,[status(thm)],[f31,f20]) ).
fof(f190,plain,
! [X0,X1] : implies(X0,not(implies(X0,X1))) = implies(implies(not(X0),not(X1)),not(X1)),
inference(forward_demodulation,[status(thm)],[f72,f189]) ).
fof(f191,plain,
! [X0,X1] : implies(X0,not(implies(X0,X1))) = implies(X1,not(implies(not(X0),not(X1)))),
inference(forward_demodulation,[status(thm)],[f72,f190]) ).
fof(f192,plain,
! [X0,X1] : implies(X0,not(implies(X0,X1))) = implies(X1,not(implies(X1,X0))),
inference(forward_demodulation,[status(thm)],[f31,f191]) ).
fof(f281,plain,
! [X0,X1,X2] : implies(X0,implies(X1,X2)) = implies(not(X2),implies(X0,not(X1))),
inference(paramodulation,[status(thm)],[f31,f28]) ).
fof(f286,plain,
! [X0,X1,X2] : implies(X0,implies(implies(X1,X2),X2)) = implies(implies(X2,X1),implies(X0,X1)),
inference(paramodulation,[status(thm)],[f20,f28]) ).
fof(f408,plain,
! [X0,X1] : implies(implies(implies(X0,X1),X1),X1) = implies(truth,implies(X0,X1)),
inference(paramodulation,[status(thm)],[f25,f20]) ).
fof(f409,plain,
! [X0,X1] : implies(implies(implies(X0,X1),X1),X1) = implies(X0,X1),
inference(forward_demodulation,[status(thm)],[f18,f408]) ).
fof(f421,plain,
! [X0,X1] : implies(X0,implies(implies(not(X1),not(X0)),X1)) = truth,
inference(forward_demodulation,[status(thm)],[f28,f21]) ).
fof(f422,plain,
! [X0,X1] : implies(X0,implies(implies(X0,X1),X1)) = truth,
inference(forward_demodulation,[status(thm)],[f31,f421]) ).
fof(f496,plain,
! [X0,X1] : implies(implies(implies(X0,X1),X1),X0) = implies(X1,X0),
inference(paramodulation,[status(thm)],[f20,f409]) ).
fof(f670,plain,
! [X0,X1,X2] : implies(implies(implies(X0,X1),X1),implies(X2,X0)) = implies(X2,implies(X1,X0)),
inference(paramodulation,[status(thm)],[f496,f28]) ).
fof(f1063,plain,
! [X0,X1,X2] : implies(X0,implies(implies(X1,X2),X2)) = implies(X0,implies(implies(X2,X1),X1)),
inference(paramodulation,[status(thm)],[f28,f286]) ).
fof(f1260,plain,
implies(b,implies(implies(implies(a,b),implies(b,a)),a)) != truth,
inference(forward_demodulation,[status(thm)],[f28,f32]) ).
fof(f1261,plain,
implies(b,implies(implies(b,implies(implies(a,b),a)),a)) != truth,
inference(forward_demodulation,[status(thm)],[f28,f1260]) ).
fof(f6164,plain,
! [X0,X1] : implies(implies(implies(X0,X1),X1),not(implies(X1,X0))) = implies(X0,not(implies(X0,implies(implies(X0,X1),X1)))),
inference(paramodulation,[status(thm)],[f496,f192]) ).
fof(f6165,plain,
! [X0,X1] : implies(implies(X0,X1),not(implies(implies(X1,X0),X0))) = implies(X1,not(implies(X1,implies(implies(X1,X0),X0)))),
inference(forward_demodulation,[status(thm)],[f72,f6164]) ).
fof(f6166,plain,
! [X0,X1] : implies(implies(X0,X1),not(implies(implies(X1,X0),X0))) = implies(X1,not(truth)),
inference(forward_demodulation,[status(thm)],[f422,f6165]) ).
fof(f6167,plain,
! [X0,X1] : implies(implies(X0,X1),not(implies(implies(X1,X0),X0))) = not(X1),
inference(forward_demodulation,[status(thm)],[f29,f6166]) ).
fof(f15268,plain,
! [X0,X1,X2] : implies(implies(X0,X1),implies(implies(implies(X1,X0),X0),X2)) = implies(not(X2),not(X1)),
inference(paramodulation,[status(thm)],[f6167,f281]) ).
fof(f15269,plain,
! [X0,X1,X2] : implies(implies(X0,X1),implies(implies(implies(X1,X0),X0),X2)) = implies(X1,X2),
inference(forward_demodulation,[status(thm)],[f31,f15268]) ).
fof(f16177,plain,
! [X0,X1] : implies(implies(implies(X0,implies(X1,X0)),implies(X1,X0)),implies(X0,X1)) = implies(X0,X1),
inference(paramodulation,[status(thm)],[f670,f15269]) ).
fof(f16178,plain,
! [X0,X1] : implies(X0,implies(implies(implies(X0,implies(X1,X0)),implies(X1,X0)),X1)) = implies(X0,X1),
inference(forward_demodulation,[status(thm)],[f28,f16177]) ).
fof(f16179,plain,
! [X0,X1] : implies(X0,implies(implies(implies(implies(X1,X0),X0),X0),X1)) = implies(X0,X1),
inference(forward_demodulation,[status(thm)],[f20,f16178]) ).
fof(f16180,plain,
! [X0,X1] : implies(X0,implies(implies(X1,X0),X1)) = implies(X0,X1),
inference(forward_demodulation,[status(thm)],[f409,f16179]) ).
fof(f16965,plain,
implies(b,implies(implies(b,a),a)) != truth,
inference(backward_demodulation,[status(thm)],[f16180,f1261]) ).
fof(f16966,plain,
implies(b,implies(implies(a,b),b)) != truth,
inference(forward_demodulation,[status(thm)],[f1063,f16965]) ).
fof(f16967,plain,
truth != truth,
inference(forward_demodulation,[status(thm)],[f25,f16966]) ).
fof(f16968,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f16967]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL109-10 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Apr 29 20:40:34 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Drodi V3.6.0
% 15.60/2.40 % Refutation found
% 15.60/2.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 15.60/2.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 16.39/2.48 % Elapsed time: 2.124994 seconds
% 16.39/2.48 % CPU time: 16.617812 seconds
% 16.39/2.48 % Total memory used: 232.471 MB
% 16.39/2.48 % Net memory used: 225.154 MB
%------------------------------------------------------------------------------