TSTP Solution File: LCL109-3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL109-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 12:18:17 EDT 2023
% Result : Unsatisfiable 26.65s 3.73s
% Output : CNFRefutation 26.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 9
% Syntax : Number of formulae : 53 ( 53 unt; 0 def)
% Number of atoms : 53 ( 52 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 8 ( 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 : 105 (; 105 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : implies(truth,X) = X,
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(f8,axiom,
! [X,Y] : implies(X,implies(Y,X)) = truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y,Z] : implies(implies(X,Y),implies(implies(Z,X),implies(Z,Y))) = truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,Y,Z] : implies(X,implies(Y,Z)) = implies(Y,implies(X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X] : not(not(X)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X,Y] : implies(not(X),not(Y)) = implies(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
implies(implies(implies(a,b),implies(b,a)),implies(b,a)) != truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,plain,
! [X0] : implies(truth,X0) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f18,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f19,plain,
! [X0,X1] : implies(implies(not(X0),not(X1)),implies(X1,X0)) = truth,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f23,plain,
! [X0,X1] : implies(X0,implies(X1,X0)) = truth,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f26,plain,
! [X0,X1,X2] : implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1))) = truth,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f27,plain,
! [X0,X1,X2] : implies(X0,implies(X1,X2)) = implies(X1,implies(X0,X2)),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f29,plain,
! [X0] : not(not(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f30,plain,
! [X0,X1] : implies(not(X0),not(X1)) = implies(X1,X0),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f31,plain,
implies(implies(implies(a,b),implies(b,a)),implies(b,a)) != truth,
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f32,plain,
implies(b,implies(implies(implies(a,b),implies(b,a)),a)) != truth,
inference(forward_demodulation,[status(thm)],[f27,f31]) ).
fof(f33,plain,
implies(b,implies(implies(b,implies(implies(a,b),a)),a)) != truth,
inference(forward_demodulation,[status(thm)],[f27,f32]) ).
fof(f34,plain,
! [X0,X1] : implies(implies(X0,X1),implies(X0,X1)) = truth,
inference(backward_demodulation,[status(thm)],[f30,f19]) ).
fof(f35,plain,
! [X0,X1] : implies(X0,implies(implies(X0,X1),X1)) = truth,
inference(forward_demodulation,[status(thm)],[f27,f34]) ).
fof(f130,plain,
! [X0,X1] : implies(truth,implies(X0,X1)) = implies(implies(implies(X0,X1),X1),X1),
inference(paramodulation,[status(thm)],[f23,f18]) ).
fof(f131,plain,
! [X0,X1] : implies(X0,X1) = implies(implies(implies(X0,X1),X1),X1),
inference(forward_demodulation,[status(thm)],[f16,f130]) ).
fof(f367,plain,
! [X0,X1,X2] : implies(X0,implies(X1,X2)) = implies(X1,implies(implies(implies(X0,implies(X1,X2)),implies(X1,X2)),X2)),
inference(paramodulation,[status(thm)],[f27,f131]) ).
fof(f368,plain,
! [X0,X1,X2] : implies(X0,implies(X1,X2)) = implies(X1,implies(implies(X1,implies(implies(X0,implies(X1,X2)),X2)),X2)),
inference(forward_demodulation,[status(thm)],[f27,f367]) ).
fof(f372,plain,
! [X0,X1] : implies(X0,X1) = implies(implies(implies(X1,X0),X0),X1),
inference(paramodulation,[status(thm)],[f18,f131]) ).
fof(f771,plain,
! [X0,X1,X2] : implies(implies(implies(implies(X0,X1),implies(X0,X2)),implies(X1,X2)),implies(X1,X2)) = implies(truth,implies(implies(X0,X1),implies(X0,X2))),
inference(paramodulation,[status(thm)],[f26,f18]) ).
fof(f772,plain,
! [X0,X1,X2] : implies(X0,implies(implies(implies(implies(X1,X0),implies(X1,X2)),implies(X0,X2)),X2)) = implies(truth,implies(implies(X1,X0),implies(X1,X2))),
inference(forward_demodulation,[status(thm)],[f27,f771]) ).
fof(f773,plain,
! [X0,X1,X2] : implies(X0,implies(implies(X0,implies(implies(implies(X1,X0),implies(X1,X2)),X2)),X2)) = implies(truth,implies(implies(X1,X0),implies(X1,X2))),
inference(forward_demodulation,[status(thm)],[f27,f772]) ).
fof(f774,plain,
! [X0,X1,X2] : implies(X0,implies(implies(X0,implies(implies(X1,implies(implies(X1,X0),X2)),X2)),X2)) = implies(truth,implies(implies(X1,X0),implies(X1,X2))),
inference(forward_demodulation,[status(thm)],[f27,f773]) ).
fof(f775,plain,
! [X0,X1,X2] : implies(X0,implies(implies(X0,implies(implies(X1,implies(implies(X1,X0),X2)),X2)),X2)) = implies(implies(X1,X0),implies(X1,X2)),
inference(forward_demodulation,[status(thm)],[f16,f774]) ).
fof(f776,plain,
! [X0,X1,X2] : implies(X0,implies(implies(X0,implies(implies(X1,implies(implies(X1,X0),X2)),X2)),X2)) = implies(X1,implies(implies(X1,X0),X2)),
inference(forward_demodulation,[status(thm)],[f27,f775]) ).
fof(f1061,plain,
! [X0,X1] : implies(X0,not(X1)) = implies(X1,not(X0)),
inference(paramodulation,[status(thm)],[f29,f30]) ).
fof(f1062,plain,
! [X0,X1] : implies(not(X0),X1) = implies(not(X1),X0),
inference(paramodulation,[status(thm)],[f29,f30]) ).
fof(f1087,plain,
! [X0,X1] : implies(implies(not(X0),not(X1)),not(X1)) = implies(implies(X0,X1),not(X0)),
inference(paramodulation,[status(thm)],[f30,f18]) ).
fof(f1088,plain,
! [X0,X1] : implies(X0,not(implies(not(X1),not(X0)))) = implies(implies(X1,X0),not(X1)),
inference(forward_demodulation,[status(thm)],[f1061,f1087]) ).
fof(f1089,plain,
! [X0,X1] : implies(X0,not(implies(X0,X1))) = implies(implies(X1,X0),not(X1)),
inference(forward_demodulation,[status(thm)],[f30,f1088]) ).
fof(f1090,plain,
! [X0,X1] : implies(X0,not(implies(X0,X1))) = implies(X1,not(implies(X1,X0))),
inference(forward_demodulation,[status(thm)],[f1061,f1089]) ).
fof(f1109,plain,
! [X0,X1,X2] : implies(X0,implies(not(X1),X2)) = implies(not(implies(X0,X2)),X1),
inference(paramodulation,[status(thm)],[f27,f1062]) ).
fof(f5500,plain,
! [X0,X1,X2] : implies(X0,implies(not(X1),not(implies(X0,X2)))) = implies(not(implies(X2,not(implies(X2,X0)))),X1),
inference(paramodulation,[status(thm)],[f1090,f1109]) ).
fof(f5501,plain,
! [X0,X1,X2] : implies(X0,implies(implies(X0,X1),X2)) = implies(not(implies(X1,not(implies(X1,X0)))),X2),
inference(forward_demodulation,[status(thm)],[f30,f5500]) ).
fof(f5502,plain,
! [X0,X1,X2] : implies(X0,implies(implies(X0,X1),X2)) = implies(X1,implies(not(X2),not(implies(X1,X0)))),
inference(forward_demodulation,[status(thm)],[f1109,f5501]) ).
fof(f5503,plain,
! [X0,X1,X2] : implies(X0,implies(implies(X0,X1),X2)) = implies(X1,implies(implies(X1,X0),X2)),
inference(forward_demodulation,[status(thm)],[f30,f5502]) ).
fof(f17809,plain,
! [X0,X1] : implies(X0,implies(implies(X0,implies(implies(implies(X1,X0),implies(X0,X1)),X1)),X1)) = implies(implies(X1,X0),implies(implies(implies(X1,X0),X0),X1)),
inference(paramodulation,[status(thm)],[f372,f776]) ).
fof(f17810,plain,
! [X0,X1] : implies(implies(X0,X1),implies(X1,X0)) = implies(implies(X0,X1),implies(implies(implies(X0,X1),X1),X0)),
inference(forward_demodulation,[status(thm)],[f368,f17809]) ).
fof(f17811,plain,
! [X0,X1] : implies(X0,implies(implies(X1,X0),X1)) = implies(implies(X1,X0),implies(implies(implies(X1,X0),X0),X1)),
inference(forward_demodulation,[status(thm)],[f27,f17810]) ).
fof(f17812,plain,
! [X0,X1] : implies(X0,implies(implies(X1,X0),X1)) = implies(X0,implies(implies(X0,implies(X1,X0)),X1)),
inference(forward_demodulation,[status(thm)],[f5503,f17811]) ).
fof(f17813,plain,
! [X0,X1] : implies(X0,implies(implies(X1,X0),X1)) = implies(X0,implies(truth,X1)),
inference(forward_demodulation,[status(thm)],[f23,f17812]) ).
fof(f17814,plain,
! [X0,X1] : implies(X0,implies(implies(X1,X0),X1)) = implies(X0,X1),
inference(forward_demodulation,[status(thm)],[f16,f17813]) ).
fof(f18481,plain,
implies(b,implies(implies(b,a),a)) != truth,
inference(backward_demodulation,[status(thm)],[f17814,f33]) ).
fof(f18482,plain,
truth != truth,
inference(forward_demodulation,[status(thm)],[f35,f18481]) ).
fof(f18483,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f18482]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL109-3 : 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 : n017.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 09:10:40 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 26.65/3.73 % Refutation found
% 26.65/3.73 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 26.65/3.73 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 27.33/3.83 % Elapsed time: 3.470129 seconds
% 27.33/3.83 % CPU time: 27.181214 seconds
% 27.33/3.83 % Memory used: 272.015 MB
%------------------------------------------------------------------------------