TSTP Solution File: LCL109-5 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL109-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 20:26:23 EDT 2024
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 28 unt; 0 def)
% Number of atoms : 42 ( 25 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 59 ( 59 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : implies(truth,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,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] : big_V(X,Y) = implies(implies(X,Y),Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] :
( ~ ordered(X,Y)
| implies(X,Y) = truth ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] :
( implies(X,Y) != truth
| ordered(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,Z] :
( ~ ordered(X,Y)
| ordered(implies(X,Z),implies(Y,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
big_V(implies(x,y),implies(y,x)) != truth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,plain,
! [X0] : implies(truth,X0) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f19,plain,
! [X0,X1,X2] : implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth,
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)],[f3]) ).
fof(f22,plain,
! [X0,X1] : big_V(X0,X1) = implies(implies(X0,X1),X1),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f24,plain,
! [X0,X1] :
( ~ ordered(X0,X1)
| implies(X0,X1) = truth ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f25,plain,
! [X0,X1] :
( implies(X0,X1) != truth
| ordered(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f26,plain,
! [X,Y] :
( ~ ordered(X,Y)
| ! [Z] : ordered(implies(X,Z),implies(Y,Z)) ),
inference(miniscoping,[status(esa)],[f9]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ~ ordered(X0,X1)
| ordered(implies(X0,X2),implies(X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f36,plain,
big_V(implies(x,y),implies(y,x)) != truth,
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f44,plain,
! [X0,X1] : implies(X0,implies(implies(X0,X1),implies(truth,X1))) = truth,
inference(paramodulation,[status(thm)],[f18,f19]) ).
fof(f45,plain,
! [X0,X1] : implies(X0,implies(implies(X0,X1),X1)) = truth,
inference(forward_demodulation,[status(thm)],[f18,f44]) ).
fof(f66,plain,
! [X0] : big_V(truth,X0) = implies(X0,X0),
inference(paramodulation,[status(thm)],[f18,f22]) ).
fof(f79,plain,
! [X0,X1] : implies(X0,big_V(X0,X1)) = truth,
inference(forward_demodulation,[status(thm)],[f22,f45]) ).
fof(f80,plain,
! [X0,X1] : ordered(X0,big_V(X0,X1)),
inference(resolution,[status(thm)],[f79,f25]) ).
fof(f81,plain,
! [X0] : big_V(truth,X0) = truth,
inference(paramodulation,[status(thm)],[f18,f79]) ).
fof(f82,plain,
! [X0] : implies(truth,implies(X0,X0)) = truth,
inference(paramodulation,[status(thm)],[f66,f79]) ).
fof(f83,plain,
! [X0] : implies(X0,X0) = truth,
inference(forward_demodulation,[status(thm)],[f18,f82]) ).
fof(f117,plain,
! [X0,X1] : big_V(X0,X1) = implies(implies(X1,X0),X0),
inference(forward_demodulation,[status(thm)],[f22,f20]) ).
fof(f118,plain,
! [X0,X1] : big_V(X0,X1) = big_V(X1,X0),
inference(forward_demodulation,[status(thm)],[f22,f117]) ).
fof(f119,plain,
! [X0,X1] : ordered(X0,big_V(X1,X0)),
inference(paramodulation,[status(thm)],[f118,f80]) ).
fof(f154,plain,
! [X0] : ordered(X0,truth),
inference(paramodulation,[status(thm)],[f81,f119]) ).
fof(f217,plain,
! [X0,X1] : ordered(implies(X0,X1),implies(truth,X1)),
inference(resolution,[status(thm)],[f27,f154]) ).
fof(f218,plain,
! [X0,X1] : ordered(implies(X0,X1),X1),
inference(forward_demodulation,[status(thm)],[f18,f217]) ).
fof(f238,plain,
! [X0] : ordered(truth,X0),
inference(paramodulation,[status(thm)],[f83,f218]) ).
fof(f243,plain,
! [X0] : implies(truth,X0) = truth,
inference(resolution,[status(thm)],[f238,f24]) ).
fof(f244,plain,
! [X0] : X0 = truth,
inference(forward_demodulation,[status(thm)],[f18,f243]) ).
fof(f245,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f36,f244]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL109-5 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n010.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 20:03:50 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.38 % Elapsed time: 0.027165 seconds
% 0.13/0.38 % CPU time: 0.062296 seconds
% 0.13/0.38 % Total memory used: 9.931 MB
% 0.13/0.38 % Net memory used: 9.898 MB
%------------------------------------------------------------------------------