TSTP Solution File: LCL311-3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL311-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 20:26:57 EDT 2024
% Result : Unsatisfiable 80.27s 10.54s
% Output : CNFRefutation 81.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 11
% Syntax : Number of formulae : 74 ( 37 unt; 0 def)
% Number of atoms : 116 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 86 ( 44 ~; 42 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 147 ( 147 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A] : axiom(implies(or(A,A),A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : axiom(implies(A,or(B,A))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : axiom(implies(or(A,B),or(B,A))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B,C] : axiom(implies(or(A,or(B,C)),or(B,or(A,C)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : implies(X,Y) = or(not(X),Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] :
( theorem(X)
| ~ axiom(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] :
( theorem(X)
| ~ theorem(implies(Y,X))
| ~ theorem(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [P,Q] : and(P,Q) = not(or(not(P),not(Q))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [P,Q] : equivalent(P,Q) = and(implies(P,Q),implies(Q,P)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
~ theorem(equivalent(implies(p,not(p)),not(p))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,plain,
! [X0] : axiom(implies(or(X0,X0),X0)),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f13,plain,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f14,plain,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f15,plain,
! [X0,X1,X2] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f16,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f17,plain,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f18,plain,
! [X0] :
( theorem(X0)
| ~ axiom(X0) ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f19,plain,
! [Y] :
( ! [X] :
( theorem(X)
| ~ theorem(implies(Y,X)) )
| ~ theorem(Y) ),
inference(miniscoping,[status(esa)],[f8]) ).
fof(f20,plain,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(X1,X0))
| ~ theorem(X1) ),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f21,plain,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f22,plain,
! [X0,X1] : equivalent(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f23,plain,
~ theorem(equivalent(implies(p,not(p)),not(p))),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f24,plain,
! [X0] : theorem(implies(or(X0,X0),X0)),
inference(resolution,[status(thm)],[f12,f18]) ).
fof(f26,plain,
! [X0] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ),
inference(resolution,[status(thm)],[f24,f20]) ).
fof(f31,plain,
! [X0,X1] : theorem(implies(X0,or(X1,X0))),
inference(resolution,[status(thm)],[f13,f18]) ).
fof(f33,plain,
! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X1) ),
inference(resolution,[status(thm)],[f31,f20]) ).
fof(f46,plain,
! [X0,X1] : theorem(implies(or(X0,X1),or(X1,X0))),
inference(resolution,[status(thm)],[f14,f18]) ).
fof(f49,plain,
! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,X0)) ),
inference(resolution,[status(thm)],[f46,f20]) ).
fof(f51,plain,
! [X0,X1] : theorem(implies(or(X0,not(X1)),implies(X1,X0))),
inference(paramodulation,[status(thm)],[f17,f46]) ).
fof(f52,plain,
! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X0) ),
inference(resolution,[status(thm)],[f49,f33]) ).
fof(f53,plain,
! [X0,X1] :
( theorem(or(X0,not(X1)))
| ~ theorem(implies(X1,X0)) ),
inference(paramodulation,[status(thm)],[f17,f49]) ).
fof(f55,plain,
! [X0,X1] :
( theorem(implies(X0,X1))
| ~ theorem(not(X0)) ),
inference(paramodulation,[status(thm)],[f17,f52]) ).
fof(f57,plain,
! [X0,X1] : and(X0,X1) = not(implies(X0,not(X1))),
inference(forward_demodulation,[status(thm)],[f17,f21]) ).
fof(f70,plain,
! [X0,X1,X2] : implies(implies(X0,not(X1)),X2) = or(and(X0,X1),X2),
inference(paramodulation,[status(thm)],[f57,f17]) ).
fof(f80,plain,
! [X0,X1] :
( theorem(implies(X0,X1))
| ~ theorem(or(X1,not(X0))) ),
inference(resolution,[status(thm)],[f51,f20]) ).
fof(f85,plain,
! [X0,X1] :
( theorem(implies(X0,not(X1)))
| ~ theorem(implies(X1,not(X0))) ),
inference(paramodulation,[status(thm)],[f17,f53]) ).
fof(f95,plain,
! [X0,X1,X2] : theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(resolution,[status(thm)],[f15,f18]) ).
fof(f104,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(resolution,[status(thm)],[f16,f18]) ).
fof(f481,plain,
! [X0,X1,X2] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,or(X0,X2))) ),
inference(resolution,[status(thm)],[f95,f20]) ).
fof(f482,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
inference(paramodulation,[status(thm)],[f17,f95]) ).
fof(f483,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f17,f482]) ).
fof(f645,plain,
! [X0,X1,X2] :
( theorem(implies(or(X0,X1),or(X0,X2)))
| ~ theorem(implies(X1,X2)) ),
inference(resolution,[status(thm)],[f104,f20]) ).
fof(f1052,plain,
! [X0,X1,X2] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(or(X0,X2),X1)) ),
inference(resolution,[status(thm)],[f481,f49]) ).
fof(f1053,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(or(X0,X1),X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f481,f26]) ).
fof(f1144,plain,
! [X0,X1,X2] :
( theorem(implies(implies(X0,X1),or(not(X0),X2)))
| ~ theorem(implies(X1,X2)) ),
inference(paramodulation,[status(thm)],[f17,f645]) ).
fof(f1145,plain,
! [X0,X1,X2] :
( theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ theorem(implies(X1,X2)) ),
inference(forward_demodulation,[status(thm)],[f17,f1144]) ).
fof(f1166,plain,
! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(or(X0,X1),X1)) ),
inference(resolution,[status(thm)],[f1053,f33]) ).
fof(f1189,plain,
! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,or(X1,X1))) ),
inference(resolution,[status(thm)],[f1166,f1052]) ).
fof(f1200,plain,
! [X0,X1] :
( theorem(or(not(X0),X1))
| ~ theorem(implies(X0,or(X1,X1))) ),
inference(paramodulation,[status(thm)],[f17,f1189]) ).
fof(f1201,plain,
! [X0,X1] :
( theorem(implies(X0,X1))
| ~ theorem(implies(X0,or(X1,X1))) ),
inference(forward_demodulation,[status(thm)],[f17,f1200]) ).
fof(f1602,plain,
! [X0,X1] :
( theorem(implies(or(X0,X1),X0))
| ~ theorem(implies(X1,X0)) ),
inference(resolution,[status(thm)],[f1201,f645]) ).
fof(f1605,plain,
! [X0] : theorem(implies(X0,X0)),
inference(resolution,[status(thm)],[f1201,f31]) ).
fof(f1623,plain,
! [X0] : theorem(implies(X0,not(not(X0)))),
inference(resolution,[status(thm)],[f1605,f85]) ).
fof(f1636,plain,
! [X0] :
( theorem(not(not(X0)))
| ~ theorem(X0) ),
inference(resolution,[status(thm)],[f1623,f20]) ).
fof(f1805,plain,
! [X0,X1] :
( ~ theorem(X0)
| theorem(implies(not(X0),X1)) ),
inference(resolution,[status(thm)],[f1636,f55]) ).
fof(f1969,plain,
! [X0,X1] :
( ~ theorem(implies(X0,X1))
| theorem(X1)
| ~ theorem(or(X1,X0)) ),
inference(resolution,[status(thm)],[f1602,f20]) ).
fof(f2306,plain,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(implies(or(X1,X1),X1),X0)) ),
inference(resolution,[status(thm)],[f24,f20]) ).
fof(f2356,plain,
! [X0,X1,X2] :
( theorem(X0)
| ~ theorem(implies(implies(X1,or(X2,X1)),X0)) ),
inference(resolution,[status(thm)],[f31,f20]) ).
fof(f2813,plain,
! [X0,X1,X2] :
( theorem(X0)
| ~ theorem(implies(implies(or(X1,X2),or(X2,X1)),X0)) ),
inference(resolution,[status(thm)],[f46,f20]) ).
fof(f12024,plain,
! [X0,X1] : theorem(or(X0,implies(or(X1,X0),X1))),
inference(resolution,[status(thm)],[f2813,f483]) ).
fof(f12069,plain,
! [X0,X1] : theorem(or(implies(or(X0,X1),X0),X1)),
inference(resolution,[status(thm)],[f12024,f49]) ).
fof(f12085,plain,
! [X0,X1] : theorem(or(implies(implies(X0,X1),not(X0)),X1)),
inference(paramodulation,[status(thm)],[f17,f12069]) ).
fof(f18169,plain,
! [X0,X1,X2] :
( ~ theorem(implies(or(X0,X1),X2))
| theorem(implies(X1,X2)) ),
inference(resolution,[status(thm)],[f1145,f2356]) ).
fof(f20259,plain,
! [X0,X1] :
( theorem(X0)
| ~ theorem(or(X0,not(X1)))
| ~ theorem(X1) ),
inference(resolution,[status(thm)],[f1969,f1805]) ).
fof(f20696,plain,
! [X0,X1] :
( theorem(implies(implies(X0,not(X1)),not(X0)))
| ~ theorem(X1) ),
inference(resolution,[status(thm)],[f20259,f12085]) ).
fof(f20697,plain,
! [X0,X1] :
( theorem(or(and(X0,X1),not(X0)))
| ~ theorem(X1) ),
inference(forward_demodulation,[status(thm)],[f70,f20696]) ).
fof(f21290,plain,
! [X0,X1] :
( ~ theorem(X0)
| theorem(implies(X1,and(X1,X0))) ),
inference(resolution,[status(thm)],[f20697,f80]) ).
fof(f26695,plain,
! [X0,X1] :
( ~ theorem(X0)
| theorem(and(implies(or(X1,X1),X1),X0)) ),
inference(resolution,[status(thm)],[f21290,f2306]) ).
fof(f61069,plain,
! [X0,X1] : theorem(implies(X0,or(X0,X1))),
inference(resolution,[status(thm)],[f18169,f46]) ).
fof(f118897,plain,
! [X0] :
( ~ theorem(implies(X0,or(X0,X0)))
| theorem(equivalent(or(X0,X0),X0)) ),
inference(paramodulation,[status(thm)],[f22,f26695]) ).
fof(f118898,plain,
! [X0] : theorem(equivalent(or(X0,X0),X0)),
inference(forward_subsumption_resolution,[status(thm)],[f118897,f61069]) ).
fof(f118919,plain,
! [X0] : theorem(equivalent(implies(X0,not(X0)),not(X0))),
inference(paramodulation,[status(thm)],[f17,f118898]) ).
fof(f127501,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f23,f118919]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL311-3 : TPTP v8.1.2. Released v2.3.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n022.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 20:23:43 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 80.27/10.54 % Refutation found
% 80.27/10.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 80.27/10.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 82.27/10.74 % Elapsed time: 10.375563 seconds
% 82.27/10.74 % CPU time: 81.865032 seconds
% 82.27/10.74 % Total memory used: 1.274 GB
% 82.27/10.74 % Net memory used: 1.217 GB
%------------------------------------------------------------------------------