TSTP Solution File: LCL145-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL145-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 20:26:29 EDT 2024
% Result : Unsatisfiable 42.10s 5.65s
% Output : CNFRefutation 42.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 7
% Syntax : Number of formulae : 53 ( 53 unt; 0 def)
% Number of atoms : 53 ( 52 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 : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 88 ( 88 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : implies(truth,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth,
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(f5,axiom,
! [X,Y] : big_V(X,Y) = implies(implies(X,Y),Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : big_hat(X,Y) = not(big_V(not(X),not(Y))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
not(big_V(x,y)) != big_hat(not(x),not(y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,plain,
! [X0] : implies(truth,X0) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f11,plain,
! [X0,X1,X2] : implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f12,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f13,plain,
! [X0,X1] : implies(implies(not(X0),not(X1)),implies(X1,X0)) = truth,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f14,plain,
! [X0,X1] : big_V(X0,X1) = implies(implies(X0,X1),X1),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f15,plain,
! [X0,X1] : big_hat(X0,X1) = not(big_V(not(X0),not(X1))),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f18,plain,
not(big_V(x,y)) != big_hat(not(x),not(y)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f37,plain,
! [X0] : big_V(truth,X0) = implies(X0,X0),
inference(paramodulation,[status(thm)],[f10,f14]) ).
fof(f82,plain,
! [X0,X1] : big_V(X0,X1) = implies(implies(X1,X0),X0),
inference(forward_demodulation,[status(thm)],[f14,f12]) ).
fof(f83,plain,
! [X0,X1] : big_V(X0,X1) = big_V(X1,X0),
inference(forward_demodulation,[status(thm)],[f14,f82]) ).
fof(f87,plain,
! [X0] : implies(X0,X0) = big_V(X0,truth),
inference(paramodulation,[status(thm)],[f37,f83]) ).
fof(f271,plain,
! [X0,X1] : implies(X0,implies(implies(X0,X1),implies(truth,X1))) = truth,
inference(paramodulation,[status(thm)],[f10,f11]) ).
fof(f272,plain,
! [X0,X1] : implies(X0,implies(implies(X0,X1),X1)) = truth,
inference(forward_demodulation,[status(thm)],[f10,f271]) ).
fof(f273,plain,
! [X0,X1] : implies(X0,big_V(X0,X1)) = truth,
inference(forward_demodulation,[status(thm)],[f14,f272]) ).
fof(f364,plain,
! [X0,X1] : big_V(implies(not(X0),not(X1)),implies(X1,X0)) = implies(truth,implies(X1,X0)),
inference(paramodulation,[status(thm)],[f13,f14]) ).
fof(f365,plain,
! [X0,X1] : big_V(implies(not(X0),not(X1)),implies(X1,X0)) = implies(X1,X0),
inference(forward_demodulation,[status(thm)],[f10,f364]) ).
fof(f393,plain,
! [X0] : big_V(truth,X0) = truth,
inference(paramodulation,[status(thm)],[f10,f273]) ).
fof(f397,plain,
! [X0] : implies(truth,implies(X0,X0)) = truth,
inference(paramodulation,[status(thm)],[f37,f273]) ).
fof(f398,plain,
! [X0] : implies(X0,X0) = truth,
inference(forward_demodulation,[status(thm)],[f10,f397]) ).
fof(f413,plain,
! [X0,X1,X2] : implies(implies(X0,X1),implies(truth,implies(X0,big_V(X1,X2)))) = truth,
inference(paramodulation,[status(thm)],[f273,f11]) ).
fof(f414,plain,
! [X0,X1,X2] : implies(implies(X0,X1),implies(X0,big_V(X1,X2))) = truth,
inference(forward_demodulation,[status(thm)],[f10,f413]) ).
fof(f427,plain,
! [X0] : truth = big_V(X0,truth),
inference(backward_demodulation,[status(thm)],[f398,f87]) ).
fof(f534,plain,
! [X0] : implies(X0,truth) = truth,
inference(paramodulation,[status(thm)],[f427,f273]) ).
fof(f711,plain,
! [X0,X1] : implies(truth,implies(implies(truth,X0),implies(X1,X0))) = truth,
inference(paramodulation,[status(thm)],[f534,f11]) ).
fof(f712,plain,
! [X0,X1] : implies(implies(truth,X0),implies(X1,X0)) = truth,
inference(forward_demodulation,[status(thm)],[f10,f711]) ).
fof(f713,plain,
! [X0,X1] : implies(X0,implies(X1,X0)) = truth,
inference(forward_demodulation,[status(thm)],[f10,f712]) ).
fof(f800,plain,
! [X0,X1,X2] : implies(truth,implies(implies(implies(X0,X1),X2),implies(X1,X2))) = truth,
inference(paramodulation,[status(thm)],[f713,f11]) ).
fof(f801,plain,
! [X0,X1,X2] : implies(implies(implies(X0,X1),X2),implies(X1,X2)) = truth,
inference(forward_demodulation,[status(thm)],[f10,f800]) ).
fof(f3864,plain,
! [X0,X1] : implies(truth,implies(not(X0),implies(X0,X1))) = truth,
inference(paramodulation,[status(thm)],[f13,f801]) ).
fof(f3865,plain,
! [X0,X1] : implies(not(X0),implies(X0,X1)) = truth,
inference(forward_demodulation,[status(thm)],[f10,f3864]) ).
fof(f4141,plain,
! [X0,X1,X2] : implies(truth,implies(not(X0),big_V(implies(X0,X1),X2))) = truth,
inference(paramodulation,[status(thm)],[f3865,f414]) ).
fof(f4142,plain,
! [X0,X1,X2] : implies(not(X0),big_V(implies(X0,X1),X2)) = truth,
inference(forward_demodulation,[status(thm)],[f10,f4141]) ).
fof(f5673,plain,
! [X0,X1] : implies(not(not(X0)),implies(X1,X0)) = truth,
inference(paramodulation,[status(thm)],[f365,f4142]) ).
fof(f5873,plain,
! [X0] : implies(not(not(X0)),X0) = truth,
inference(paramodulation,[status(thm)],[f10,f5673]) ).
fof(f6146,plain,
! [X0] : big_V(truth,implies(X0,not(not(X0)))) = implies(X0,not(not(X0))),
inference(paramodulation,[status(thm)],[f5873,f365]) ).
fof(f6147,plain,
! [X0] : truth = implies(X0,not(not(X0))),
inference(forward_demodulation,[status(thm)],[f393,f6146]) ).
fof(f6259,plain,
! [X0] : big_V(not(not(X0)),X0) = implies(truth,X0),
inference(paramodulation,[status(thm)],[f5873,f14]) ).
fof(f6260,plain,
! [X0] : big_V(not(not(X0)),X0) = X0,
inference(forward_demodulation,[status(thm)],[f10,f6259]) ).
fof(f6270,plain,
! [X0] : big_V(X0,not(not(X0))) = X0,
inference(paramodulation,[status(thm)],[f83,f6260]) ).
fof(f6512,plain,
! [X0] : big_V(X0,not(not(X0))) = implies(truth,not(not(X0))),
inference(paramodulation,[status(thm)],[f6147,f14]) ).
fof(f6513,plain,
! [X0] : X0 = implies(truth,not(not(X0))),
inference(forward_demodulation,[status(thm)],[f6270,f6512]) ).
fof(f6514,plain,
! [X0] : X0 = not(not(X0)),
inference(forward_demodulation,[status(thm)],[f10,f6513]) ).
fof(f6554,plain,
! [X0,X1] : big_hat(X0,not(X1)) = not(big_V(not(X0),X1)),
inference(paramodulation,[status(thm)],[f6514,f15]) ).
fof(f20707,plain,
! [X0,X1] : big_hat(not(X0),not(X1)) = not(big_V(X0,X1)),
inference(paramodulation,[status(thm)],[f6514,f6554]) ).
fof(f45803,plain,
not(big_V(x,y)) != not(big_V(x,y)),
inference(backward_demodulation,[status(thm)],[f20707,f18]) ).
fof(f45804,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f45803]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LCL145-1 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n007.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Apr 29 20:11:02 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % Drodi V3.6.0
% 42.10/5.65 % Refutation found
% 42.10/5.65 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 42.10/5.65 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 43.55/5.86 % Elapsed time: 5.517231 seconds
% 43.55/5.86 % CPU time: 43.047987 seconds
% 43.55/5.86 % Total memory used: 605.342 MB
% 43.55/5.86 % Net memory used: 592.102 MB
%------------------------------------------------------------------------------