TSTP Solution File: LCL113-10 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL113-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 20:26:24 EDT 2024
% Result : Unsatisfiable 23.94s 3.39s
% Output : CNFRefutation 24.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 7
% Syntax : Number of formulae : 68 ( 68 unt; 0 def)
% Number of atoms : 68 ( 67 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 162 ( 162 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : ifeq(A,A,B,C) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : ifeq(is_a_theorem(implies(X,Y)),true,ifeq(is_a_theorem(X),true,is_a_theorem(Y),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : is_a_theorem(implies(X,implies(Y,X))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : is_a_theorem(implies(implies(implies(X,Y),Y),implies(implies(Y,X),X))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
is_a_theorem(implies(implies(not(a),b),implies(not(b),a))) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,plain,
! [X0,X1,X2] : ifeq(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f9,plain,
! [X0,X1] : ifeq(is_a_theorem(implies(X0,X1)),true,ifeq(is_a_theorem(X0),true,is_a_theorem(X1),true),true) = true,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f10,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) = true,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f11,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) = true,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f12,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))) = true,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f13,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))) = true,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f14,plain,
is_a_theorem(implies(implies(not(a),b),implies(not(b),a))) != true,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f15,plain,
! [X0,X1] : ifeq(true,true,ifeq(is_a_theorem(implies(not(X0),not(X1))),true,is_a_theorem(implies(X1,X0)),true),true) = true,
inference(paramodulation,[status(thm)],[f13,f9]) ).
fof(f16,plain,
! [X0,X1] : ifeq(is_a_theorem(implies(not(X0),not(X1))),true,is_a_theorem(implies(X1,X0)),true) = true,
inference(forward_demodulation,[status(thm)],[f8,f15]) ).
fof(f17,plain,
! [X0,X1,X2] : ifeq(true,true,ifeq(is_a_theorem(implies(X0,X1)),true,is_a_theorem(implies(implies(X1,X2),implies(X0,X2))),true),true) = true,
inference(paramodulation,[status(thm)],[f11,f9]) ).
fof(f18,plain,
! [X0,X1,X2] : ifeq(is_a_theorem(implies(X0,X1)),true,is_a_theorem(implies(implies(X1,X2),implies(X0,X2))),true) = true,
inference(forward_demodulation,[status(thm)],[f8,f17]) ).
fof(f19,plain,
! [X0,X1] : ifeq(true,true,ifeq(is_a_theorem(X0),true,is_a_theorem(implies(X1,X0)),true),true) = true,
inference(paramodulation,[status(thm)],[f10,f9]) ).
fof(f20,plain,
! [X0,X1] : ifeq(is_a_theorem(X0),true,is_a_theorem(implies(X1,X0)),true) = true,
inference(forward_demodulation,[status(thm)],[f8,f19]) ).
fof(f21,plain,
! [X0,X1,X2] : ifeq(is_a_theorem(implies(implies(implies(not(X0),not(X1)),implies(X1,X0)),X2)),true,ifeq(true,true,is_a_theorem(X2),true),true) = true,
inference(paramodulation,[status(thm)],[f13,f9]) ).
fof(f22,plain,
! [X0,X1,X2] : ifeq(is_a_theorem(implies(implies(implies(not(X0),not(X1)),implies(X1,X0)),X2)),true,is_a_theorem(X2),true) = true,
inference(forward_demodulation,[status(thm)],[f8,f21]) ).
fof(f25,plain,
! [X0,X1,X2] : ifeq(is_a_theorem(implies(implies(X0,implies(X1,X0)),X2)),true,ifeq(true,true,is_a_theorem(X2),true),true) = true,
inference(paramodulation,[status(thm)],[f10,f9]) ).
fof(f26,plain,
! [X0,X1,X2] : ifeq(is_a_theorem(implies(implies(X0,implies(X1,X0)),X2)),true,is_a_theorem(X2),true) = true,
inference(forward_demodulation,[status(thm)],[f8,f25]) ).
fof(f77,plain,
! [X0,X1,X2] : ifeq(true,true,is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X2),implies(implies(X2,X1),X1)))),true) = true,
inference(paramodulation,[status(thm)],[f12,f20]) ).
fof(f78,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X2),implies(implies(X2,X1),X1)))) = true,
inference(forward_demodulation,[status(thm)],[f8,f77]) ).
fof(f82,plain,
! [X0,X1,X2] : ifeq(is_a_theorem(implies(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0)),X2)),true,ifeq(true,true,is_a_theorem(X2),true),true) = true,
inference(paramodulation,[status(thm)],[f12,f9]) ).
fof(f83,plain,
! [X0,X1,X2] : ifeq(is_a_theorem(implies(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0)),X2)),true,is_a_theorem(X2),true) = true,
inference(forward_demodulation,[status(thm)],[f8,f82]) ).
fof(f117,plain,
! [X0,X1,X2] : ifeq(true,true,is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),true) = true,
inference(paramodulation,[status(thm)],[f11,f26]) ).
fof(f118,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))) = true,
inference(forward_demodulation,[status(thm)],[f8,f117]) ).
fof(f168,plain,
! [X0,X1,X2] : ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(implies(implies(X1,X0),X0),X2))),true) = true,
inference(paramodulation,[status(thm)],[f12,f18]) ).
fof(f169,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(implies(implies(X1,X0),X0),X2))) = true,
inference(forward_demodulation,[status(thm)],[f8,f168]) ).
fof(f174,plain,
! [X0,X1,X2,X3] : ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))),true) = true,
inference(paramodulation,[status(thm)],[f11,f18]) ).
fof(f175,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))) = true,
inference(forward_demodulation,[status(thm)],[f8,f174]) ).
fof(f313,plain,
! [X0,X1] : ifeq(true,true,is_a_theorem(implies(not(X0),implies(X0,X1))),true) = true,
inference(paramodulation,[status(thm)],[f118,f22]) ).
fof(f314,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))) = true,
inference(forward_demodulation,[status(thm)],[f8,f313]) ).
fof(f351,plain,
! [X0,X1,X2] : ifeq(true,true,is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),true) = true,
inference(paramodulation,[status(thm)],[f314,f18]) ).
fof(f352,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))) = true,
inference(forward_demodulation,[status(thm)],[f8,f351]) ).
fof(f394,plain,
! [X0,X1] : ifeq(true,true,is_a_theorem(implies(not(not(X0)),implies(X1,X0))),true) = true,
inference(paramodulation,[status(thm)],[f352,f22]) ).
fof(f395,plain,
! [X0,X1] : is_a_theorem(implies(not(not(X0)),implies(X1,X0))) = true,
inference(forward_demodulation,[status(thm)],[f8,f394]) ).
fof(f419,plain,
! [X0,X1,X2] : ifeq(true,true,is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(not(X1)),X2))),true) = true,
inference(paramodulation,[status(thm)],[f395,f18]) ).
fof(f420,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(not(X1)),X2))) = true,
inference(forward_demodulation,[status(thm)],[f8,f419]) ).
fof(f802,plain,
! [X0,X1] : ifeq(true,true,is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),true) = true,
inference(paramodulation,[status(thm)],[f118,f83]) ).
fof(f803,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))) = true,
inference(forward_demodulation,[status(thm)],[f8,f802]) ).
fof(f900,plain,
! [X0,X1] : ifeq(true,true,ifeq(is_a_theorem(X0),true,is_a_theorem(implies(implies(X0,X1),X1)),true),true) = true,
inference(paramodulation,[status(thm)],[f803,f9]) ).
fof(f901,plain,
! [X0,X1] : ifeq(is_a_theorem(X0),true,is_a_theorem(implies(implies(X0,X1),X1)),true) = true,
inference(forward_demodulation,[status(thm)],[f8,f900]) ).
fof(f1233,plain,
! [X0,X1,X2,X3] : ifeq(is_a_theorem(implies(implies(X0,implies(implies(implies(X1,X2),X2),implies(implies(X2,X1),X1))),X3)),true,ifeq(true,true,is_a_theorem(X3),true),true) = true,
inference(paramodulation,[status(thm)],[f78,f9]) ).
fof(f1234,plain,
! [X0,X1,X2,X3] : ifeq(is_a_theorem(implies(implies(X0,implies(implies(implies(X1,X2),X2),implies(implies(X2,X1),X1))),X3)),true,is_a_theorem(X3),true) = true,
inference(forward_demodulation,[status(thm)],[f8,f1233]) ).
fof(f1409,plain,
! [X0,X1,X2] : ifeq(true,true,ifeq(is_a_theorem(implies(implies(implies(X0,X1),X1),X2)),true,is_a_theorem(implies(implies(implies(X1,X0),X0),X2)),true),true) = true,
inference(paramodulation,[status(thm)],[f169,f9]) ).
fof(f1410,plain,
! [X0,X1,X2] : ifeq(is_a_theorem(implies(implies(implies(X0,X1),X1),X2)),true,is_a_theorem(implies(implies(implies(X1,X0),X0),X2)),true) = true,
inference(forward_demodulation,[status(thm)],[f8,f1409]) ).
fof(f1868,plain,
! [X0,X1,X2,X3] : ifeq(true,true,ifeq(is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3)),true,is_a_theorem(implies(implies(X2,X0),X3)),true),true) = true,
inference(paramodulation,[status(thm)],[f175,f9]) ).
fof(f1869,plain,
! [X0,X1,X2,X3] : ifeq(is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3)),true,is_a_theorem(implies(implies(X2,X0),X3)),true) = true,
inference(forward_demodulation,[status(thm)],[f8,f1868]) ).
fof(f7462,plain,
! [X0,X1] : ifeq(true,true,is_a_theorem(implies(implies(implies(X0,X1),X1),implies(not(not(X0)),X0))),true) = true,
inference(paramodulation,[status(thm)],[f420,f1410]) ).
fof(f7463,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X1),implies(not(not(X0)),X0))) = true,
inference(forward_demodulation,[status(thm)],[f8,f7462]) ).
fof(f7723,plain,
! [X0] : ifeq(true,true,is_a_theorem(implies(not(not(X0)),X0)),true) = true,
inference(paramodulation,[status(thm)],[f7463,f1234]) ).
fof(f7724,plain,
! [X0] : is_a_theorem(implies(not(not(X0)),X0)) = true,
inference(forward_demodulation,[status(thm)],[f8,f7723]) ).
fof(f7778,plain,
! [X0] : ifeq(true,true,is_a_theorem(implies(X0,not(not(X0)))),true) = true,
inference(paramodulation,[status(thm)],[f7724,f16]) ).
fof(f7779,plain,
! [X0] : is_a_theorem(implies(X0,not(not(X0)))) = true,
inference(forward_demodulation,[status(thm)],[f8,f7778]) ).
fof(f7865,plain,
! [X0,X1] : ifeq(true,true,is_a_theorem(implies(implies(implies(X0,not(not(X0))),X1),X1)),true) = true,
inference(paramodulation,[status(thm)],[f7779,f901]) ).
fof(f7866,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,not(not(X0))),X1),X1)) = true,
inference(forward_demodulation,[status(thm)],[f8,f7865]) ).
fof(f14037,plain,
! [X0,X1] : ifeq(true,true,is_a_theorem(implies(implies(X0,X1),implies(X0,not(not(X1))))),true) = true,
inference(paramodulation,[status(thm)],[f7866,f1869]) ).
fof(f14038,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,not(not(X1))))) = true,
inference(forward_demodulation,[status(thm)],[f8,f14037]) ).
fof(f14552,plain,
! [X0,X1,X2] : ifeq(true,true,is_a_theorem(implies(implies(implies(X0,not(not(X1))),X2),implies(implies(X0,X1),X2))),true) = true,
inference(paramodulation,[status(thm)],[f14038,f18]) ).
fof(f14553,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,not(not(X1))),X2),implies(implies(X0,X1),X2))) = true,
inference(forward_demodulation,[status(thm)],[f8,f14552]) ).
fof(f19004,plain,
! [X0,X1] : ifeq(true,true,is_a_theorem(implies(implies(not(X0),X1),implies(not(X1),X0))),true) = true,
inference(paramodulation,[status(thm)],[f14553,f22]) ).
fof(f19005,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(not(X1),X0))) = true,
inference(forward_demodulation,[status(thm)],[f8,f19004]) ).
fof(f19082,plain,
true != true,
inference(backward_demodulation,[status(thm)],[f19005,f14]) ).
fof(f19083,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f19082]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL113-10 : TPTP v8.1.2. Released v7.3.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 20:47:39 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 23.94/3.39 % Refutation found
% 23.94/3.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 23.94/3.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 24.33/3.53 % Elapsed time: 3.163373 seconds
% 24.33/3.53 % CPU time: 24.668480 seconds
% 24.33/3.53 % Total memory used: 357.473 MB
% 24.33/3.53 % Net memory used: 345.500 MB
%------------------------------------------------------------------------------