TSTP Solution File: HEN010-6 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : HEN010-6 : TPTP v8.1.2. Released v1.0.0.
% 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 : Wed May 31 12:12:51 EDT 2023
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 43 ( 30 unt; 0 def)
% Number of atoms : 58 ( 30 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 20 ~; 15 |; 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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] : less_equal(zero,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] :
( ~ less_equal(X,Y)
| ~ less_equal(Y,X)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] : less_equal(X,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] : divide(zero,X) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X] : divide(X,X) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
divide(a,zero) = a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X,Y,Z] :
( ~ less_equal(X,Y)
| less_equal(divide(Z,Y),divide(Z,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X] : divide(identity,divide(identity,divide(identity,X))) = divide(identity,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,plain,
! [X0,X1] :
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f20,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(f21,plain,
! [X0] : less_equal(zero,X0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f22,plain,
! [X0,X1] :
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f23,plain,
! [X0] : less_equal(X0,identity),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f25,plain,
! [X0] : divide(zero,X0) = zero,
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f26,plain,
! [X0] : divide(X0,X0) = zero,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f27,plain,
divide(a,zero) = a,
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f29,plain,
! [X,Y] :
( ~ less_equal(X,Y)
| ! [Z] : less_equal(divide(Z,Y),divide(Z,X)) ),
inference(miniscoping,[status(esa)],[f13]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ~ less_equal(X0,X1)
| less_equal(divide(X2,X1),divide(X2,X0)) ),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f33,plain,
! [X0] : divide(identity,divide(identity,divide(identity,X0))) = divide(identity,X0),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f34,plain,
divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f35,plain,
divide(identity,divide(identity,zero)) = divide(identity,identity),
inference(paramodulation,[status(thm)],[f26,f33]) ).
fof(f36,plain,
divide(identity,divide(identity,zero)) = zero,
inference(forward_demodulation,[status(thm)],[f26,f35]) ).
fof(f53,plain,
! [X0] :
( ~ less_equal(identity,X0)
| X0 = identity ),
inference(resolution,[status(thm)],[f22,f23]) ).
fof(f92,plain,
less_equal(identity,divide(identity,zero)),
inference(resolution,[status(thm)],[f18,f36]) ).
fof(f168,plain,
divide(identity,zero) = identity,
inference(resolution,[status(thm)],[f92,f53]) ).
fof(f244,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)],[f20,f22]) ).
fof(f283,plain,
! [X0,X1] : less_equal(divide(X0,X1),divide(X0,zero)),
inference(resolution,[status(thm)],[f30,f21]) ).
fof(f718,plain,
! [X0,X1] : less_equal(divide(divide(X0,X1),zero),divide(divide(X0,zero),X1)),
inference(paramodulation,[status(thm)],[f25,f20]) ).
fof(f841,plain,
! [X0] :
( ~ less_equal(divide(divide(X0,a),zero),divide(divide(X0,zero),a))
| divide(divide(X0,zero),divide(a,zero)) = divide(divide(X0,a),zero) ),
inference(paramodulation,[status(thm)],[f27,f244]) ).
fof(f842,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(forward_demodulation,[status(thm)],[f27,f841]) ).
fof(f843,plain,
! [X0] : divide(divide(X0,zero),a) = divide(divide(X0,a),zero),
inference(forward_subsumption_resolution,[status(thm)],[f842,f718]) ).
fof(f850,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)],[f26,f244]) ).
fof(f851,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)],[f26,f850]) ).
fof(f852,plain,
! [X0,X1] : divide(divide(X0,X1),zero) = divide(divide(X0,X1),X1),
inference(forward_subsumption_resolution,[status(thm)],[f851,f283]) ).
fof(f1065,plain,
! [X0] : divide(divide(identity,divide(identity,divide(identity,X0))),zero) = divide(divide(identity,X0),divide(identity,divide(identity,X0))),
inference(paramodulation,[status(thm)],[f33,f852]) ).
fof(f1066,plain,
! [X0] : divide(divide(identity,X0),zero) = divide(divide(identity,X0),divide(identity,divide(identity,X0))),
inference(forward_demodulation,[status(thm)],[f33,f1065]) ).
fof(f1167,plain,
divide(identity,a) != divide(divide(identity,a),zero),
inference(backward_demodulation,[status(thm)],[f1066,f34]) ).
fof(f1168,plain,
divide(identity,a) != divide(divide(identity,zero),a),
inference(forward_demodulation,[status(thm)],[f843,f1167]) ).
fof(f1169,plain,
divide(identity,a) != divide(identity,a),
inference(forward_demodulation,[status(thm)],[f168,f1168]) ).
fof(f1170,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f1169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : HEN010-6 : 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 : 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 : Tue May 30 09:31:57 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.40 % Elapsed time: 0.045455 seconds
% 0.19/0.40 % CPU time: 0.225503 seconds
% 0.19/0.40 % Memory used: 17.873 MB
%------------------------------------------------------------------------------