TSTP Solution File: LCL239-10 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL239-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 20:26:49 EDT 2024
% Result : Unsatisfiable 2.77s 0.71s
% Output : CNFRefutation 2.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 10
% 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 : 4 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-4 aty)
% Number of variables : 130 ( 130 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : ifeq(A,A,B,C) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A] : axiom(implies(or(A,A),A)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : axiom(implies(A,or(B,A))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : axiom(implies(or(A,B),or(B,A))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] : implies(X,Y) = or(not(X),Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] : ifeq(axiom(X),true,theorem(X),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [Y,X] : ifeq(theorem(implies(Y,X)),true,ifeq(theorem(Y),true,theorem(X),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [P,Q] : and(P,Q) = not(or(not(P),not(Q))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
theorem(not(and(p,not(p)))) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,plain,
! [X0,X1,X2] : ifeq(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f13,plain,
! [X0] : axiom(implies(or(X0,X0),X0)) = true,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f14,plain,
! [X0,X1] : axiom(implies(X0,or(X1,X0))) = true,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f15,plain,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))) = true,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f16,plain,
! [X0,X1,X2] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))) = true,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f18,plain,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f19,plain,
! [X0] : ifeq(axiom(X0),true,theorem(X0),true) = true,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f20,plain,
! [X0,X1] : ifeq(theorem(implies(X0,X1)),true,ifeq(theorem(X0),true,theorem(X1),true),true) = true,
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f21,plain,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f22,plain,
theorem(not(and(p,not(p)))) != true,
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f23,plain,
! [X0,X1] : and(X0,X1) = not(implies(X0,not(X1))),
inference(forward_demodulation,[status(thm)],[f18,f21]) ).
fof(f26,plain,
! [X0,X1] : axiom(implies(implies(X0,X1),or(X1,not(X0)))) = true,
inference(paramodulation,[status(thm)],[f18,f15]) ).
fof(f31,plain,
! [X0,X1] : ifeq(true,true,theorem(implies(or(X0,X1),or(X1,X0))),true) = true,
inference(paramodulation,[status(thm)],[f15,f19]) ).
fof(f32,plain,
! [X0,X1] : theorem(implies(or(X0,X1),or(X1,X0))) = true,
inference(forward_demodulation,[status(thm)],[f12,f31]) ).
fof(f33,plain,
! [X0] : ifeq(true,true,theorem(implies(or(X0,X0),X0)),true) = true,
inference(paramodulation,[status(thm)],[f13,f19]) ).
fof(f34,plain,
! [X0] : theorem(implies(or(X0,X0),X0)) = true,
inference(forward_demodulation,[status(thm)],[f12,f33]) ).
fof(f37,plain,
! [X0,X1] : ifeq(true,true,theorem(implies(X0,or(X1,X0))),true) = true,
inference(paramodulation,[status(thm)],[f14,f19]) ).
fof(f38,plain,
! [X0,X1] : theorem(implies(X0,or(X1,X0))) = true,
inference(forward_demodulation,[status(thm)],[f12,f37]) ).
fof(f43,plain,
! [X0,X1] : ifeq(true,true,theorem(implies(implies(X0,X1),or(X1,not(X0)))),true) = true,
inference(paramodulation,[status(thm)],[f26,f19]) ).
fof(f44,plain,
! [X0,X1] : theorem(implies(implies(X0,X1),or(X1,not(X0)))) = true,
inference(forward_demodulation,[status(thm)],[f12,f43]) ).
fof(f59,plain,
! [X0,X1,X2] : ifeq(true,true,theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),true) = true,
inference(paramodulation,[status(thm)],[f16,f19]) ).
fof(f60,plain,
! [X0,X1,X2] : theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))) = true,
inference(forward_demodulation,[status(thm)],[f12,f59]) ).
fof(f111,plain,
! [X0] : ifeq(true,true,ifeq(theorem(or(X0,X0)),true,theorem(X0),true),true) = true,
inference(paramodulation,[status(thm)],[f34,f20]) ).
fof(f112,plain,
! [X0] : ifeq(theorem(or(X0,X0)),true,theorem(X0),true) = true,
inference(forward_demodulation,[status(thm)],[f12,f111]) ).
fof(f129,plain,
! [X0,X1] : ifeq(true,true,ifeq(theorem(X0),true,theorem(or(X1,X0)),true),true) = true,
inference(paramodulation,[status(thm)],[f38,f20]) ).
fof(f130,plain,
! [X0,X1] : ifeq(theorem(X0),true,theorem(or(X1,X0)),true) = true,
inference(forward_demodulation,[status(thm)],[f12,f129]) ).
fof(f132,plain,
! [X0,X1,X2] : ifeq(theorem(implies(implies(X0,or(X1,X0)),X2)),true,ifeq(true,true,theorem(X2),true),true) = true,
inference(paramodulation,[status(thm)],[f38,f20]) ).
fof(f133,plain,
! [X0,X1,X2] : ifeq(theorem(implies(implies(X0,or(X1,X0)),X2)),true,theorem(X2),true) = true,
inference(forward_demodulation,[status(thm)],[f12,f132]) ).
fof(f164,plain,
! [X0,X1] : ifeq(true,true,ifeq(theorem(or(X0,X1)),true,theorem(or(X1,X0)),true),true) = true,
inference(paramodulation,[status(thm)],[f32,f20]) ).
fof(f165,plain,
! [X0,X1] : ifeq(theorem(or(X0,X1)),true,theorem(or(X1,X0)),true) = true,
inference(forward_demodulation,[status(thm)],[f12,f164]) ).
fof(f465,plain,
! [X0,X1,X2] : ifeq(true,true,ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(X1,or(X0,X2))),true),true) = true,
inference(paramodulation,[status(thm)],[f60,f20]) ).
fof(f466,plain,
! [X0,X1,X2] : ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(X1,or(X0,X2))),true) = true,
inference(forward_demodulation,[status(thm)],[f12,f465]) ).
fof(f2360,plain,
! [X0,X1] : ifeq(true,true,theorem(or(or(X0,X1),not(X1))),true) = true,
inference(paramodulation,[status(thm)],[f44,f133]) ).
fof(f2361,plain,
! [X0,X1] : theorem(or(or(X0,X1),not(X1))) = true,
inference(forward_demodulation,[status(thm)],[f12,f2360]) ).
fof(f2508,plain,
! [X0,X1,X2] : ifeq(true,true,theorem(or(X0,or(or(X1,X2),not(X2)))),true) = true,
inference(paramodulation,[status(thm)],[f2361,f130]) ).
fof(f2509,plain,
! [X0,X1,X2] : theorem(or(X0,or(or(X1,X2),not(X2)))) = true,
inference(forward_demodulation,[status(thm)],[f12,f2508]) ).
fof(f3586,plain,
! [X0,X1,X2] : ifeq(true,true,theorem(or(or(X0,X1),or(X2,not(X1)))),true) = true,
inference(paramodulation,[status(thm)],[f2509,f466]) ).
fof(f3587,plain,
! [X0,X1,X2] : theorem(or(or(X0,X1),or(X2,not(X1)))) = true,
inference(forward_demodulation,[status(thm)],[f12,f3586]) ).
fof(f4490,plain,
! [X0,X1,X2] : ifeq(true,true,theorem(or(or(X0,not(X1)),or(X2,X1))),true) = true,
inference(paramodulation,[status(thm)],[f3587,f165]) ).
fof(f4491,plain,
! [X0,X1,X2] : theorem(or(or(X0,not(X1)),or(X2,X1))) = true,
inference(forward_demodulation,[status(thm)],[f12,f4490]) ).
fof(f5208,plain,
! [X0,X1,X2] : ifeq(true,true,theorem(or(X0,or(or(X1,not(X2)),X2))),true) = true,
inference(paramodulation,[status(thm)],[f4491,f466]) ).
fof(f5209,plain,
! [X0,X1,X2] : theorem(or(X0,or(or(X1,not(X2)),X2))) = true,
inference(forward_demodulation,[status(thm)],[f12,f5208]) ).
fof(f5540,plain,
! [X0,X1] : ifeq(true,true,theorem(or(or(X0,not(X1)),X1)),true) = true,
inference(paramodulation,[status(thm)],[f5209,f112]) ).
fof(f5541,plain,
! [X0,X1] : theorem(or(or(X0,not(X1)),X1)) = true,
inference(forward_demodulation,[status(thm)],[f12,f5540]) ).
fof(f5855,plain,
! [X0,X1] : ifeq(true,true,theorem(or(X0,or(X1,not(X0)))),true) = true,
inference(paramodulation,[status(thm)],[f5541,f165]) ).
fof(f5856,plain,
! [X0,X1] : theorem(or(X0,or(X1,not(X0)))) = true,
inference(forward_demodulation,[status(thm)],[f12,f5855]) ).
fof(f5888,plain,
! [X0,X1] : ifeq(true,true,theorem(or(X0,or(X1,not(X1)))),true) = true,
inference(paramodulation,[status(thm)],[f5856,f466]) ).
fof(f5889,plain,
! [X0,X1] : theorem(or(X0,or(X1,not(X1)))) = true,
inference(forward_demodulation,[status(thm)],[f12,f5888]) ).
fof(f6388,plain,
! [X0] : ifeq(true,true,theorem(or(X0,not(X0))),true) = true,
inference(paramodulation,[status(thm)],[f5889,f112]) ).
fof(f6389,plain,
! [X0] : theorem(or(X0,not(X0))) = true,
inference(forward_demodulation,[status(thm)],[f12,f6388]) ).
fof(f6413,plain,
! [X0] : theorem(implies(X0,not(not(X0)))) = true,
inference(paramodulation,[status(thm)],[f18,f6389]) ).
fof(f6477,plain,
! [X0] : ifeq(true,true,ifeq(theorem(X0),true,theorem(not(not(X0))),true),true) = true,
inference(paramodulation,[status(thm)],[f6413,f20]) ).
fof(f6478,plain,
! [X0] : ifeq(theorem(X0),true,theorem(not(not(X0))),true) = true,
inference(forward_demodulation,[status(thm)],[f12,f6477]) ).
fof(f7331,plain,
! [X0] : ifeq(true,true,theorem(not(not(implies(X0,not(not(X0)))))),true) = true,
inference(paramodulation,[status(thm)],[f6413,f6478]) ).
fof(f7332,plain,
! [X0] : theorem(not(not(implies(X0,not(not(X0)))))) = true,
inference(forward_demodulation,[status(thm)],[f12,f7331]) ).
fof(f7333,plain,
! [X0] : theorem(not(and(X0,not(X0)))) = true,
inference(forward_demodulation,[status(thm)],[f23,f7332]) ).
fof(f7431,plain,
true != true,
inference(backward_demodulation,[status(thm)],[f7333,f22]) ).
fof(f7432,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f7431]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL239-10 : TPTP v8.1.2. Released v7.5.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n014.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 20:23:19 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.21/0.35 % Drodi V3.6.0
% 2.77/0.71 % Refutation found
% 2.77/0.71 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.77/0.71 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.77/0.74 % Elapsed time: 0.393326 seconds
% 2.77/0.74 % CPU time: 2.976112 seconds
% 2.77/0.74 % Total memory used: 115.493 MB
% 2.77/0.74 % Net memory used: 113.643 MB
%------------------------------------------------------------------------------