TSTP Solution File: RNG008-7 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : RNG008-7 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 0.19s 0.54s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 11
% Syntax : Number of formulae : 72 ( 72 unt; 0 def)
% Number of atoms : 72 ( 71 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 : 6 ( 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 : 108 (; 108 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : add(additive_identity,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : add(X,additive_identity) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] : add(additive_inverse(X),X) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : add(X,additive_inverse(X)) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z] : add(X,add(Y,Z)) = add(add(X,Y),Z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : add(X,Y) = add(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y,Z] : multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,Z] : multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,hypothesis,
! [X] : multiply(X,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
multiply(a,b) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
multiply(b,a) != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,plain,
! [X0] : add(additive_identity,X0) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f14,plain,
! [X0] : add(X0,additive_identity) = X0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f15,plain,
! [X0] : add(additive_inverse(X0),X0) = additive_identity,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f16,plain,
! [X0] : add(X0,additive_inverse(X0)) = additive_identity,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f17,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f18,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f20,plain,
! [X0,X1,X2] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f21,plain,
! [X0,X1,X2] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f22,plain,
! [X0] : multiply(X0,X0) = X0,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f23,plain,
multiply(a,b) = c,
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f24,plain,
multiply(b,a) != c,
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f178,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = add(X0,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f22,f20]) ).
fof(f199,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = add(multiply(X0,X1),X0),
inference(paramodulation,[status(thm)],[f22,f20]) ).
fof(f200,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = add(X0,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f18,f199]) ).
fof(f303,plain,
! [X0,X1] : multiply(add(X0,X1),X0) = add(X0,multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f22,f21]) ).
fof(f383,plain,
! [X0] : multiply(X0,X0) = add(X0,multiply(X0,additive_identity)),
inference(paramodulation,[status(thm)],[f13,f200]) ).
fof(f384,plain,
! [X0] : X0 = add(X0,multiply(X0,additive_identity)),
inference(forward_demodulation,[status(thm)],[f22,f383]) ).
fof(f386,plain,
! [X0] : multiply(X0,additive_identity) = add(X0,multiply(X0,additive_inverse(X0))),
inference(paramodulation,[status(thm)],[f15,f200]) ).
fof(f503,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X2,add(X0,X1)),
inference(paramodulation,[status(thm)],[f18,f17]) ).
fof(f509,plain,
! [X0,X1] : add(additive_inverse(X0),add(X0,X1)) = add(additive_identity,X1),
inference(paramodulation,[status(thm)],[f15,f17]) ).
fof(f510,plain,
! [X0,X1] : add(X0,add(X1,additive_inverse(X0))) = add(additive_identity,X1),
inference(forward_demodulation,[status(thm)],[f503,f509]) ).
fof(f511,plain,
! [X0,X1] : add(X0,add(X1,additive_inverse(X0))) = X1,
inference(forward_demodulation,[status(thm)],[f13,f510]) ).
fof(f518,plain,
! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = add(additive_identity,X1),
inference(paramodulation,[status(thm)],[f16,f17]) ).
fof(f519,plain,
! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = X1,
inference(forward_demodulation,[status(thm)],[f13,f518]) ).
fof(f520,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(add(X1,X0),X2),
inference(paramodulation,[status(thm)],[f18,f17]) ).
fof(f521,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X1,add(X0,X2)),
inference(forward_demodulation,[status(thm)],[f17,f520]) ).
fof(f537,plain,
! [X0] : add(X0,additive_identity) = additive_inverse(additive_inverse(X0)),
inference(paramodulation,[status(thm)],[f15,f511]) ).
fof(f538,plain,
! [X0] : X0 = additive_inverse(additive_inverse(X0)),
inference(forward_demodulation,[status(thm)],[f14,f537]) ).
fof(f552,plain,
! [X0,X1] : multiply(add(X0,additive_inverse(X1)),X0) = add(add(X0,additive_inverse(X1)),multiply(add(X0,additive_inverse(X1)),X1)),
inference(paramodulation,[status(thm)],[f511,f200]) ).
fof(f553,plain,
! [X0,X1] : add(X0,multiply(additive_inverse(X1),X0)) = add(add(X0,additive_inverse(X1)),multiply(add(X0,additive_inverse(X1)),X1)),
inference(forward_demodulation,[status(thm)],[f303,f552]) ).
fof(f554,plain,
! [X0,X1] : add(X0,multiply(additive_inverse(X1),X0)) = add(X0,add(additive_inverse(X1),multiply(add(X0,additive_inverse(X1)),X1))),
inference(forward_demodulation,[status(thm)],[f17,f553]) ).
fof(f569,plain,
! [X0] : add(X0,multiply(additive_inverse(X0),additive_identity)) = multiply(additive_inverse(X0),additive_inverse(additive_inverse(X0))),
inference(paramodulation,[status(thm)],[f386,f519]) ).
fof(f570,plain,
! [X0] : add(X0,multiply(additive_inverse(X0),additive_identity)) = multiply(additive_inverse(X0),X0),
inference(forward_demodulation,[status(thm)],[f538,f569]) ).
fof(f571,plain,
! [X0] : add(X0,additive_inverse(X0)) = multiply(additive_inverse(X0),additive_identity),
inference(paramodulation,[status(thm)],[f384,f519]) ).
fof(f572,plain,
! [X0] : additive_identity = multiply(additive_inverse(X0),additive_identity),
inference(forward_demodulation,[status(thm)],[f16,f571]) ).
fof(f593,plain,
! [X0] : add(X0,additive_identity) = multiply(additive_inverse(X0),X0),
inference(backward_demodulation,[status(thm)],[f572,f570]) ).
fof(f594,plain,
! [X0] : X0 = multiply(additive_inverse(X0),X0),
inference(forward_demodulation,[status(thm)],[f14,f593]) ).
fof(f1011,plain,
! [X0,X1] : multiply(add(X0,additive_inverse(X1)),X1) = add(multiply(X0,X1),X1),
inference(paramodulation,[status(thm)],[f594,f21]) ).
fof(f1012,plain,
! [X0,X1] : multiply(add(X0,additive_inverse(X1)),X1) = add(X1,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f18,f1011]) ).
fof(f1022,plain,
! [X0,X1] : add(X0,multiply(additive_inverse(X1),X0)) = add(X0,add(additive_inverse(X1),add(X1,multiply(X0,X1)))),
inference(backward_demodulation,[status(thm)],[f1012,f554]) ).
fof(f1023,plain,
! [X0,X1] : add(X0,multiply(additive_inverse(X1),X0)) = add(X0,add(X1,add(additive_inverse(X1),multiply(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f521,f1022]) ).
fof(f1024,plain,
! [X0,X1] : add(X0,multiply(additive_inverse(X1),X0)) = add(X0,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f519,f1023]) ).
fof(f1242,plain,
! [X0] : multiply(X0,X0) = add(X0,multiply(additive_identity,X0)),
inference(paramodulation,[status(thm)],[f14,f303]) ).
fof(f1243,plain,
! [X0] : X0 = add(X0,multiply(additive_identity,X0)),
inference(forward_demodulation,[status(thm)],[f22,f1242]) ).
fof(f1244,plain,
! [X0] : multiply(additive_identity,X0) = add(X0,multiply(additive_inverse(X0),X0)),
inference(paramodulation,[status(thm)],[f16,f303]) ).
fof(f1245,plain,
! [X0] : multiply(additive_identity,X0) = add(X0,multiply(X0,X0)),
inference(forward_demodulation,[status(thm)],[f1024,f1244]) ).
fof(f1246,plain,
! [X0] : multiply(additive_identity,X0) = add(X0,X0),
inference(forward_demodulation,[status(thm)],[f22,f1245]) ).
fof(f1322,plain,
! [X0] : add(X0,multiply(additive_identity,additive_inverse(X0))) = additive_inverse(X0),
inference(paramodulation,[status(thm)],[f1246,f519]) ).
fof(f1530,plain,
! [X0] : add(X0,additive_inverse(X0)) = multiply(additive_identity,additive_inverse(X0)),
inference(paramodulation,[status(thm)],[f1243,f519]) ).
fof(f1531,plain,
! [X0] : additive_identity = multiply(additive_identity,additive_inverse(X0)),
inference(forward_demodulation,[status(thm)],[f16,f1530]) ).
fof(f1553,plain,
! [X0] : add(X0,additive_identity) = additive_inverse(X0),
inference(backward_demodulation,[status(thm)],[f1531,f1322]) ).
fof(f1554,plain,
! [X0] : X0 = additive_inverse(X0),
inference(forward_demodulation,[status(thm)],[f14,f1553]) ).
fof(f1565,plain,
! [X0,X1] : add(X0,add(X0,X1)) = X1,
inference(backward_demodulation,[status(thm)],[f1554,f519]) ).
fof(f1651,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = add(X0,multiply(X0,X1)),
inference(backward_demodulation,[status(thm)],[f1554,f1024]) ).
fof(f1974,plain,
! [X0,X1] : multiply(X0,X1) = add(X1,multiply(add(X1,X0),X1)),
inference(paramodulation,[status(thm)],[f1565,f303]) ).
fof(f1975,plain,
! [X0,X1] : multiply(X0,X1) = add(X1,multiply(X1,add(X1,X0))),
inference(forward_demodulation,[status(thm)],[f1651,f1974]) ).
fof(f1976,plain,
! [X0,X1] : multiply(X0,X1) = add(X1,add(X1,multiply(X1,X0))),
inference(forward_demodulation,[status(thm)],[f178,f1975]) ).
fof(f1977,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f1565,f1976]) ).
fof(f2100,plain,
multiply(a,b) != c,
inference(paramodulation,[status(thm)],[f1977,f24]) ).
fof(f2101,plain,
c != c,
inference(forward_demodulation,[status(thm)],[f23,f2100]) ).
fof(f2102,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f2101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG008-7 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n012.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 10:31:55 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.19/0.54 % Refutation found
% 0.19/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.55 % Elapsed time: 0.202372 seconds
% 0.19/0.55 % CPU time: 1.407589 seconds
% 0.19/0.55 % Memory used: 23.034 MB
%------------------------------------------------------------------------------