TSTP Solution File: RNG008-4 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : RNG008-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 12:32:35 EDT 2023
% Result : Unsatisfiable 0.15s 0.39s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 12
% Syntax : Number of formulae : 50 ( 50 unt; 0 def)
% Number of atoms : 50 ( 49 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 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; 4 con; 0-2 aty)
% Number of variables : 78 (; 78 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : add(additive_identity,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : add(additive_inverse(X),X) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,Z] : multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] : additive_inverse(additive_inverse(X)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y] : multiply(X,additive_inverse(Y)) = additive_inverse(multiply(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,Y] : multiply(additive_inverse(X),Y) = additive_inverse(multiply(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X,Y,Z] : add(add(X,Y),Z) = add(X,add(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X,Y] : add(X,Y) = add(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,hypothesis,
! [X] : multiply(X,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
multiply(a,b) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
multiply(b,a) != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,plain,
! [X0] : add(additive_identity,X0) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f19,plain,
! [X0] : add(additive_inverse(X0),X0) = additive_identity,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f20,plain,
! [X0,X1,X2] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f21,plain,
! [X0,X1,X2] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f23,plain,
! [X0] : additive_inverse(additive_inverse(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f27,plain,
! [X0,X1] : multiply(X0,additive_inverse(X1)) = additive_inverse(multiply(X0,X1)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f28,plain,
! [X0,X1] : multiply(additive_inverse(X0),X1) = additive_inverse(multiply(X0,X1)),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f29,plain,
! [X0,X1,X2] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f30,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f32,plain,
! [X0] : multiply(X0,X0) = X0,
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f33,plain,
multiply(a,b) = c,
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f34,plain,
multiply(b,a) != c,
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f36,plain,
! [X0] : add(X0,additive_inverse(X0)) = additive_identity,
inference(paramodulation,[status(thm)],[f23,f19]) ).
fof(f70,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = add(multiply(X0,X1),X0),
inference(paramodulation,[status(thm)],[f32,f20]) ).
fof(f71,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = add(X0,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f30,f70]) ).
fof(f76,plain,
! [X0] : additive_inverse(X0) = additive_inverse(multiply(X0,additive_inverse(X0))),
inference(paramodulation,[status(thm)],[f32,f28]) ).
fof(f77,plain,
! [X0] : additive_inverse(X0) = additive_inverse(additive_inverse(multiply(X0,X0))),
inference(forward_demodulation,[status(thm)],[f27,f76]) ).
fof(f78,plain,
! [X0] : additive_inverse(X0) = multiply(X0,X0),
inference(forward_demodulation,[status(thm)],[f23,f77]) ).
fof(f79,plain,
! [X0] : additive_inverse(X0) = X0,
inference(forward_demodulation,[status(thm)],[f32,f78]) ).
fof(f106,plain,
! [X0] : add(X0,X0) = additive_identity,
inference(backward_demodulation,[status(thm)],[f79,f36]) ).
fof(f169,plain,
! [X0,X1] : multiply(add(X0,X1),X0) = add(X0,multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f32,f21]) ).
fof(f180,plain,
! [X0,X1] : multiply(add(X0,X1),X1) = add(multiply(X0,X1),X1),
inference(paramodulation,[status(thm)],[f32,f21]) ).
fof(f181,plain,
! [X0,X1] : multiply(add(X0,X1),X1) = add(X1,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f30,f180]) ).
fof(f575,plain,
! [X0,X1] : add(additive_identity,X0) = add(X1,add(X1,X0)),
inference(paramodulation,[status(thm)],[f106,f29]) ).
fof(f576,plain,
! [X0,X1] : X0 = add(X1,add(X1,X0)),
inference(forward_demodulation,[status(thm)],[f18,f575]) ).
fof(f671,plain,
! [X0,X1] : X0 = add(X1,add(X0,X1)),
inference(paramodulation,[status(thm)],[f30,f576]) ).
fof(f740,plain,
! [X0,X1] : multiply(add(X0,X1),X0) = add(add(X0,X1),multiply(add(X0,X1),X1)),
inference(paramodulation,[status(thm)],[f671,f71]) ).
fof(f741,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = add(add(X0,X1),multiply(add(X0,X1),X1)),
inference(forward_demodulation,[status(thm)],[f169,f740]) ).
fof(f742,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = add(X0,add(X1,multiply(add(X0,X1),X1))),
inference(forward_demodulation,[status(thm)],[f29,f741]) ).
fof(f743,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = add(X0,add(X1,add(X1,multiply(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f181,f742]) ).
fof(f744,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = add(X0,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f576,f743]) ).
fof(f752,plain,
! [X0,X1] : multiply(X0,X1) = add(X1,multiply(add(X0,X1),X1)),
inference(paramodulation,[status(thm)],[f671,f169]) ).
fof(f753,plain,
! [X0,X1] : multiply(X0,X1) = add(X1,multiply(X1,add(X0,X1))),
inference(forward_demodulation,[status(thm)],[f744,f752]) ).
fof(f754,plain,
! [X0,X1] : multiply(X0,X1) = add(X1,add(X1,multiply(X1,X0))),
inference(forward_demodulation,[status(thm)],[f71,f753]) ).
fof(f755,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f576,f754]) ).
fof(f793,plain,
multiply(a,b) != c,
inference(paramodulation,[status(thm)],[f755,f34]) ).
fof(f794,plain,
c != c,
inference(forward_demodulation,[status(thm)],[f33,f793]) ).
fof(f795,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f794]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : RNG008-4 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n006.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 10:32:17 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Drodi V3.5.1
% 0.15/0.39 % Refutation found
% 0.15/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.41 % Elapsed time: 0.106311 seconds
% 0.15/0.41 % CPU time: 0.548193 seconds
% 0.15/0.41 % Memory used: 12.269 MB
%------------------------------------------------------------------------------