TSTP Solution File: HEN010-4 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : HEN010-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 : Wed May 31 12:12:51 EDT 2023
% Result : Unsatisfiable 0.17s 0.47s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 43 ( 31 unt; 0 def)
% Number of atoms : 57 ( 29 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 19 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 52 (; 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X,Y] :
( divide(X,Y) != zero
| less_equal(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Z,Y] : less_equal(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] : less_equal(zero,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] :
( ~ less_equal(X,Y)
| ~ less_equal(Y,X)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] : less_equal(X,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] : divide(zero,X) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X] : divide(X,X) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
divide(a,zero) = a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X,Y,Z] :
( ~ less_equal(X,Y)
| less_equal(divide(Z,Y),divide(Z,X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X] : divide(identity,divide(identity,divide(identity,X))) = divide(identity,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,plain,
! [X0,X1] :
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f21,plain,
! [X0,X1,X2] : less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f22,plain,
! [X0] : less_equal(zero,X0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f23,plain,
! [X0,X1] :
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f24,plain,
! [X0] : less_equal(X0,identity),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f26,plain,
! [X0] : divide(zero,X0) = zero,
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f27,plain,
! [X0] : divide(X0,X0) = zero,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f28,plain,
divide(a,zero) = a,
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f32,plain,
! [X,Y] :
( ~ less_equal(X,Y)
| ! [Z] : less_equal(divide(Z,Y),divide(Z,X)) ),
inference(miniscoping,[status(esa)],[f14]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ~ less_equal(X0,X1)
| less_equal(divide(X2,X1),divide(X2,X0)) ),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f36,plain,
! [X0] : divide(identity,divide(identity,divide(identity,X0))) = divide(identity,X0),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f37,plain,
divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f38,plain,
divide(identity,divide(identity,zero)) = divide(identity,identity),
inference(paramodulation,[status(thm)],[f27,f36]) ).
fof(f39,plain,
divide(identity,divide(identity,zero)) = zero,
inference(forward_demodulation,[status(thm)],[f27,f38]) ).
fof(f56,plain,
! [X0] :
( ~ less_equal(identity,X0)
| X0 = identity ),
inference(resolution,[status(thm)],[f23,f24]) ).
fof(f95,plain,
less_equal(identity,divide(identity,zero)),
inference(resolution,[status(thm)],[f19,f39]) ).
fof(f171,plain,
divide(identity,zero) = identity,
inference(resolution,[status(thm)],[f95,f56]) ).
fof(f247,plain,
! [X0,X1,X2] :
( ~ less_equal(divide(divide(X0,X1),X2),divide(divide(X0,X2),divide(X1,X2)))
| divide(divide(X0,X2),divide(X1,X2)) = divide(divide(X0,X1),X2) ),
inference(resolution,[status(thm)],[f21,f23]) ).
fof(f264,plain,
! [X0] : less_equal(divide(divide(X0,zero),a),divide(divide(X0,a),zero)),
inference(paramodulation,[status(thm)],[f28,f21]) ).
fof(f290,plain,
! [X0,X1] : less_equal(divide(X0,X1),divide(X0,zero)),
inference(resolution,[status(thm)],[f33,f22]) ).
fof(f389,plain,
! [X0] :
( ~ less_equal(divide(divide(X0,a),zero),divide(divide(X0,zero),a))
| divide(divide(X0,zero),a) = divide(divide(X0,a),zero) ),
inference(resolution,[status(thm)],[f264,f23]) ).
fof(f695,plain,
! [X0,X1] : less_equal(divide(divide(X0,X1),zero),divide(divide(X0,zero),X1)),
inference(paramodulation,[status(thm)],[f26,f21]) ).
fof(f706,plain,
! [X0] : divide(divide(X0,zero),a) = divide(divide(X0,a),zero),
inference(backward_subsumption_resolution,[status(thm)],[f389,f695]) ).
fof(f839,plain,
! [X0,X1] :
( ~ less_equal(divide(divide(X0,X1),X1),divide(divide(X0,X1),zero))
| divide(divide(X0,X1),divide(X1,X1)) = divide(divide(X0,X1),X1) ),
inference(paramodulation,[status(thm)],[f27,f247]) ).
fof(f840,plain,
! [X0,X1] :
( ~ less_equal(divide(divide(X0,X1),X1),divide(divide(X0,X1),zero))
| divide(divide(X0,X1),zero) = divide(divide(X0,X1),X1) ),
inference(forward_demodulation,[status(thm)],[f27,f839]) ).
fof(f841,plain,
! [X0,X1] : divide(divide(X0,X1),zero) = divide(divide(X0,X1),X1),
inference(forward_subsumption_resolution,[status(thm)],[f840,f290]) ).
fof(f995,plain,
! [X0] : divide(divide(identity,divide(identity,divide(identity,X0))),zero) = divide(divide(identity,X0),divide(identity,divide(identity,X0))),
inference(paramodulation,[status(thm)],[f36,f841]) ).
fof(f996,plain,
! [X0] : divide(divide(identity,X0),zero) = divide(divide(identity,X0),divide(identity,divide(identity,X0))),
inference(forward_demodulation,[status(thm)],[f36,f995]) ).
fof(f1070,plain,
divide(identity,a) != divide(divide(identity,a),zero),
inference(backward_demodulation,[status(thm)],[f996,f37]) ).
fof(f1071,plain,
divide(identity,a) != divide(divide(identity,zero),a),
inference(forward_demodulation,[status(thm)],[f706,f1070]) ).
fof(f1072,plain,
divide(identity,a) != divide(identity,a),
inference(forward_demodulation,[status(thm)],[f171,f1071]) ).
fof(f1073,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f1072]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : HEN010-4 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n003.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue May 30 09:35:53 EDT 2023
% 0.17/0.33 % CPUTime :
% 0.17/0.34 % Drodi V3.5.1
% 0.17/0.47 % Refutation found
% 0.17/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.49 % Elapsed time: 0.147971 seconds
% 0.17/0.49 % CPU time: 0.692356 seconds
% 0.17/0.49 % Memory used: 46.559 MB
%------------------------------------------------------------------------------