TSTP Solution File: RNG008-7 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n027.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 20:37:42 EDT 2024
% Result : Unsatisfiable 0.11s 0.48s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 12
% Syntax : Number of formulae : 91 ( 91 unt; 0 def)
% Number of atoms : 91 ( 90 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 : 140 ( 140 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : add(additive_identity,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : add(X,additive_identity) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] : add(additive_inverse(X),X) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : add(X,additive_inverse(X)) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z] : add(X,add(Y,Z)) = add(add(X,Y),Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : add(X,Y) = add(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,Z] : multiply(X,multiply(Y,Z)) = multiply(multiply(X,Y),Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y,Z] : multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,Z] : multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,hypothesis,
! [X] : multiply(X,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
multiply(a,b) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
multiply(b,a) != c,
file('/export/starexec/sandbox/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(f19,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f7]) ).
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(f44,plain,
! [X0,X1] : multiply(X0,multiply(X0,X1)) = multiply(X0,X1),
inference(paramodulation,[status(thm)],[f22,f19]) ).
fof(f62,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X2,add(X0,X1)),
inference(paramodulation,[status(thm)],[f18,f17]) ).
fof(f67,plain,
! [X0,X1] : add(additive_inverse(X0),add(X0,X1)) = add(additive_identity,X1),
inference(paramodulation,[status(thm)],[f15,f17]) ).
fof(f68,plain,
! [X0,X1] : add(X0,add(X1,additive_inverse(X0))) = add(additive_identity,X1),
inference(forward_demodulation,[status(thm)],[f62,f67]) ).
fof(f69,plain,
! [X0,X1] : add(X0,add(X1,additive_inverse(X0))) = X1,
inference(forward_demodulation,[status(thm)],[f13,f68]) ).
fof(f72,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(add(X1,X0),X2),
inference(paramodulation,[status(thm)],[f18,f17]) ).
fof(f73,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X1,add(X0,X2)),
inference(forward_demodulation,[status(thm)],[f17,f72]) ).
fof(f83,plain,
! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = add(additive_identity,X1),
inference(paramodulation,[status(thm)],[f16,f17]) ).
fof(f84,plain,
! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = X1,
inference(forward_demodulation,[status(thm)],[f13,f83]) ).
fof(f90,plain,
! [X0] : add(X0,additive_identity) = additive_inverse(additive_inverse(X0)),
inference(paramodulation,[status(thm)],[f16,f84]) ).
fof(f91,plain,
! [X0] : X0 = additive_inverse(additive_inverse(X0)),
inference(forward_demodulation,[status(thm)],[f14,f90]) ).
fof(f138,plain,
! [X0,X1] : multiply(add(X0,X1),X0) = add(X0,multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f22,f21]) ).
fof(f147,plain,
! [X0,X1] : multiply(add(X0,X1),X1) = add(multiply(X0,X1),X1),
inference(paramodulation,[status(thm)],[f22,f21]) ).
fof(f148,plain,
! [X0,X1] : multiply(add(X0,X1),X1) = add(X1,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f18,f147]) ).
fof(f156,plain,
! [X0,X1] : multiply(X0,add(X1,X1)) = multiply(add(X0,X0),X1),
inference(paramodulation,[status(thm)],[f21,f20]) ).
fof(f169,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = add(X0,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f22,f20]) ).
fof(f178,plain,
! [X0,X1,X2] : multiply(X0,add(X1,multiply(X0,X2))) = add(multiply(X0,X1),multiply(X0,X2)),
inference(paramodulation,[status(thm)],[f44,f20]) ).
fof(f179,plain,
! [X0,X1,X2] : multiply(X0,add(X1,multiply(X0,X2))) = multiply(X0,add(X1,X2)),
inference(forward_demodulation,[status(thm)],[f20,f178]) ).
fof(f204,plain,
! [X0] : multiply(X0,X0) = add(X0,multiply(additive_identity,X0)),
inference(paramodulation,[status(thm)],[f14,f138]) ).
fof(f205,plain,
! [X0] : X0 = add(X0,multiply(additive_identity,X0)),
inference(forward_demodulation,[status(thm)],[f22,f204]) ).
fof(f235,plain,
! [X0] : add(X0,additive_inverse(X0)) = multiply(additive_identity,additive_inverse(X0)),
inference(paramodulation,[status(thm)],[f205,f84]) ).
fof(f236,plain,
! [X0] : additive_identity = multiply(additive_identity,additive_inverse(X0)),
inference(forward_demodulation,[status(thm)],[f16,f235]) ).
fof(f265,plain,
! [X0,X1] : multiply(X0,add(X0,additive_inverse(X1))) = add(add(X0,additive_inverse(X1)),multiply(X1,add(X0,additive_inverse(X1)))),
inference(paramodulation,[status(thm)],[f69,f148]) ).
fof(f266,plain,
! [X0,X1] : add(X0,multiply(X0,additive_inverse(X1))) = add(add(X0,additive_inverse(X1)),multiply(X1,add(X0,additive_inverse(X1)))),
inference(forward_demodulation,[status(thm)],[f169,f265]) ).
fof(f267,plain,
! [X0,X1] : add(X0,multiply(X0,additive_inverse(X1))) = add(X0,add(additive_inverse(X1),multiply(X1,add(X0,additive_inverse(X1))))),
inference(forward_demodulation,[status(thm)],[f17,f266]) ).
fof(f308,plain,
! [X0] : multiply(X0,additive_identity) = add(X0,multiply(X0,additive_inverse(X0))),
inference(paramodulation,[status(thm)],[f16,f169]) ).
fof(f309,plain,
! [X0] : multiply(X0,X0) = add(X0,multiply(X0,additive_identity)),
inference(paramodulation,[status(thm)],[f14,f169]) ).
fof(f310,plain,
! [X0] : X0 = add(X0,multiply(X0,additive_identity)),
inference(forward_demodulation,[status(thm)],[f22,f309]) ).
fof(f365,plain,
! [X0] : add(X0,additive_inverse(X0)) = multiply(additive_inverse(X0),additive_identity),
inference(paramodulation,[status(thm)],[f310,f84]) ).
fof(f366,plain,
! [X0] : additive_identity = multiply(additive_inverse(X0),additive_identity),
inference(forward_demodulation,[status(thm)],[f16,f365]) ).
fof(f448,plain,
! [X0] : add(X0,multiply(additive_inverse(X0),additive_identity)) = multiply(additive_inverse(X0),additive_inverse(additive_inverse(X0))),
inference(paramodulation,[status(thm)],[f308,f84]) ).
fof(f449,plain,
! [X0] : add(X0,additive_identity) = multiply(additive_inverse(X0),additive_inverse(additive_inverse(X0))),
inference(forward_demodulation,[status(thm)],[f366,f448]) ).
fof(f450,plain,
! [X0] : X0 = multiply(additive_inverse(X0),additive_inverse(additive_inverse(X0))),
inference(forward_demodulation,[status(thm)],[f14,f449]) ).
fof(f451,plain,
! [X0] : X0 = multiply(additive_inverse(X0),X0),
inference(forward_demodulation,[status(thm)],[f91,f450]) ).
fof(f457,plain,
! [X0] : multiply(multiply(X0,additive_identity),multiply(X0,additive_inverse(X0))) = add(multiply(X0,additive_inverse(X0)),multiply(X0,multiply(X0,additive_inverse(X0)))),
inference(paramodulation,[status(thm)],[f308,f148]) ).
fof(f458,plain,
! [X0] : multiply(X0,multiply(additive_identity,multiply(X0,additive_inverse(X0)))) = add(multiply(X0,additive_inverse(X0)),multiply(X0,multiply(X0,additive_inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f19,f457]) ).
fof(f459,plain,
! [X0] : multiply(X0,multiply(additive_identity,multiply(X0,additive_inverse(X0)))) = multiply(X0,add(additive_inverse(X0),multiply(X0,additive_inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f20,f458]) ).
fof(f460,plain,
! [X0] : multiply(X0,multiply(additive_identity,multiply(X0,additive_inverse(X0)))) = multiply(X0,add(additive_inverse(X0),additive_inverse(X0))),
inference(forward_demodulation,[status(thm)],[f179,f459]) ).
fof(f461,plain,
! [X0] : multiply(X0,multiply(additive_identity,multiply(X0,additive_inverse(X0)))) = multiply(add(X0,X0),additive_inverse(X0)),
inference(forward_demodulation,[status(thm)],[f156,f460]) ).
fof(f472,plain,
! [X0] : additive_inverse(X0) = multiply(X0,additive_inverse(X0)),
inference(paramodulation,[status(thm)],[f91,f451]) ).
fof(f481,plain,
! [X0,X1] : multiply(add(additive_inverse(X0),X1),X0) = add(X0,multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f451,f21]) ).
fof(f483,plain,
! [X0] : multiply(X0,additive_identity) = add(X0,additive_inverse(X0)),
inference(backward_demodulation,[status(thm)],[f472,f308]) ).
fof(f484,plain,
! [X0] : multiply(X0,additive_identity) = additive_identity,
inference(forward_demodulation,[status(thm)],[f16,f483]) ).
fof(f490,plain,
! [X0] : multiply(X0,multiply(additive_identity,additive_inverse(X0))) = multiply(add(X0,X0),additive_inverse(X0)),
inference(backward_demodulation,[status(thm)],[f472,f461]) ).
fof(f491,plain,
! [X0] : multiply(X0,additive_identity) = multiply(add(X0,X0),additive_inverse(X0)),
inference(forward_demodulation,[status(thm)],[f236,f490]) ).
fof(f492,plain,
! [X0] : additive_identity = multiply(add(X0,X0),additive_inverse(X0)),
inference(forward_demodulation,[status(thm)],[f484,f491]) ).
fof(f574,plain,
! [X0,X1] : multiply(X0,add(X1,additive_inverse(X0))) = add(multiply(X0,X1),additive_inverse(X0)),
inference(paramodulation,[status(thm)],[f472,f20]) ).
fof(f575,plain,
! [X0,X1] : multiply(X0,add(X1,additive_inverse(X0))) = add(additive_inverse(X0),multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f18,f574]) ).
fof(f583,plain,
! [X0,X1] : add(X0,multiply(X0,additive_inverse(X1))) = add(X0,add(additive_inverse(X1),add(additive_inverse(X1),multiply(X1,X0)))),
inference(backward_demodulation,[status(thm)],[f575,f267]) ).
fof(f646,plain,
! [X0] : additive_identity = multiply(add(additive_inverse(X0),additive_inverse(X0)),X0),
inference(paramodulation,[status(thm)],[f91,f492]) ).
fof(f647,plain,
! [X0] : additive_identity = add(X0,multiply(additive_inverse(X0),X0)),
inference(forward_demodulation,[status(thm)],[f481,f646]) ).
fof(f648,plain,
! [X0] : additive_identity = add(X0,X0),
inference(forward_demodulation,[status(thm)],[f451,f647]) ).
fof(f700,plain,
! [X0] : add(X0,additive_identity) = additive_inverse(X0),
inference(paramodulation,[status(thm)],[f648,f84]) ).
fof(f701,plain,
! [X0] : X0 = additive_inverse(X0),
inference(forward_demodulation,[status(thm)],[f14,f700]) ).
fof(f713,plain,
! [X0,X1] : add(X0,add(X0,X1)) = add(additive_identity,X1),
inference(paramodulation,[status(thm)],[f648,f17]) ).
fof(f714,plain,
! [X0,X1] : add(X0,add(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f13,f713]) ).
fof(f739,plain,
! [X0,X1] : add(X0,multiply(X0,additive_inverse(X1))) = add(X0,add(additive_inverse(X1),add(X1,multiply(X1,X0)))),
inference(backward_demodulation,[status(thm)],[f701,f583]) ).
fof(f740,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = add(X0,add(additive_inverse(X1),add(X1,multiply(X1,X0)))),
inference(forward_demodulation,[status(thm)],[f701,f739]) ).
fof(f741,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = add(X0,add(X1,add(additive_inverse(X1),multiply(X1,X0)))),
inference(forward_demodulation,[status(thm)],[f73,f740]) ).
fof(f742,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = add(X0,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f84,f741]) ).
fof(f792,plain,
! [X0,X1] : multiply(X0,X1) = add(X1,multiply(add(X1,X0),X1)),
inference(paramodulation,[status(thm)],[f714,f138]) ).
fof(f793,plain,
! [X0,X1] : multiply(X0,X1) = add(X1,multiply(X1,add(X1,X0))),
inference(forward_demodulation,[status(thm)],[f742,f792]) ).
fof(f794,plain,
! [X0,X1] : multiply(X0,X1) = add(X1,add(X1,multiply(X1,X0))),
inference(forward_demodulation,[status(thm)],[f169,f793]) ).
fof(f795,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f714,f794]) ).
fof(f973,plain,
multiply(a,b) != c,
inference(paramodulation,[status(thm)],[f795,f24]) ).
fof(f974,plain,
c != c,
inference(forward_demodulation,[status(thm)],[f23,f973]) ).
fof(f975,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f974]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : RNG008-7 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.27 % Computer : n027.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Mon Apr 29 22:46:16 EDT 2024
% 0.07/0.27 % CPUTime :
% 0.07/0.28 % Drodi V3.6.0
% 0.11/0.48 % Refutation found
% 0.11/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.50 % Elapsed time: 0.221818 seconds
% 0.11/0.50 % CPU time: 1.659915 seconds
% 0.11/0.50 % Total memory used: 38.832 MB
% 0.11/0.50 % Net memory used: 38.201 MB
%------------------------------------------------------------------------------