TSTP Solution File: RNG008-4 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n008.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 20:37:41 EDT 2024
% Result : Unsatisfiable 0.10s 0.34s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 12
% Syntax : Number of formulae : 51 ( 51 unt; 0 def)
% Number of atoms : 51 ( 50 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 : 80 ( 80 !; 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(f35,plain,
! [X0] : add(X0,additive_inverse(X0)) = additive_identity,
inference(paramodulation,[status(thm)],[f23,f19]) ).
fof(f53,plain,
! [X0] : additive_inverse(X0) = additive_inverse(multiply(additive_inverse(X0),X0)),
inference(paramodulation,[status(thm)],[f32,f27]) ).
fof(f54,plain,
! [X0] : additive_inverse(X0) = additive_inverse(additive_inverse(multiply(X0,X0))),
inference(forward_demodulation,[status(thm)],[f28,f53]) ).
fof(f55,plain,
! [X0] : additive_inverse(X0) = multiply(X0,X0),
inference(forward_demodulation,[status(thm)],[f23,f54]) ).
fof(f56,plain,
! [X0] : additive_inverse(X0) = X0,
inference(forward_demodulation,[status(thm)],[f32,f55]) ).
fof(f68,plain,
! [X0] : add(X0,X0) = additive_identity,
inference(backward_demodulation,[status(thm)],[f56,f35]) ).
fof(f81,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = add(X0,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f32,f20]) ).
fof(f86,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = add(multiply(X0,X1),X0),
inference(paramodulation,[status(thm)],[f32,f20]) ).
fof(f87,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = add(X0,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f30,f86]) ).
fof(f196,plain,
! [X0,X1] : multiply(add(X0,X1),X0) = add(X0,multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f32,f21]) ).
fof(f205,plain,
! [X0,X1] : multiply(add(X0,X1),X1) = add(multiply(X0,X1),X1),
inference(paramodulation,[status(thm)],[f32,f21]) ).
fof(f206,plain,
! [X0,X1] : multiply(add(X0,X1),X1) = add(X1,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f30,f205]) ).
fof(f378,plain,
! [X0,X1] : add(additive_identity,X0) = add(X1,add(X1,X0)),
inference(paramodulation,[status(thm)],[f68,f29]) ).
fof(f379,plain,
! [X0,X1] : X0 = add(X1,add(X1,X0)),
inference(forward_demodulation,[status(thm)],[f18,f378]) ).
fof(f406,plain,
! [X0,X1] : X0 = add(X1,add(X0,X1)),
inference(paramodulation,[status(thm)],[f30,f379]) ).
fof(f448,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = add(add(X0,X1),multiply(X1,add(X0,X1))),
inference(paramodulation,[status(thm)],[f406,f206]) ).
fof(f449,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = add(add(X0,X1),multiply(X1,add(X0,X1))),
inference(forward_demodulation,[status(thm)],[f81,f448]) ).
fof(f450,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = add(X0,add(X1,multiply(X1,add(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f29,f449]) ).
fof(f451,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = add(X0,add(X1,add(X1,multiply(X1,X0)))),
inference(forward_demodulation,[status(thm)],[f87,f450]) ).
fof(f452,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = add(X0,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f379,f451]) ).
fof(f453,plain,
! [X0,X1] : multiply(X0,X1) = add(X1,multiply(add(X0,X1),X1)),
inference(paramodulation,[status(thm)],[f406,f196]) ).
fof(f454,plain,
! [X0,X1] : multiply(X0,X1) = add(X1,multiply(X1,add(X0,X1))),
inference(forward_demodulation,[status(thm)],[f452,f453]) ).
fof(f455,plain,
! [X0,X1] : multiply(X0,X1) = add(X1,add(X1,multiply(X1,X0))),
inference(forward_demodulation,[status(thm)],[f87,f454]) ).
fof(f456,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f379,f455]) ).
fof(f488,plain,
multiply(a,b) != c,
inference(paramodulation,[status(thm)],[f456,f34]) ).
fof(f489,plain,
c != c,
inference(forward_demodulation,[status(thm)],[f33,f488]) ).
fof(f490,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f489]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.07 % Problem : RNG008-4 : TPTP v8.1.2. Released v1.0.0.
% 0.01/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26 % Computer : n008.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Mon Apr 29 22:20:42 EDT 2024
% 0.06/0.26 % CPUTime :
% 0.10/0.26 % Drodi V3.6.0
% 0.10/0.34 % Refutation found
% 0.10/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.36 % Elapsed time: 0.092554 seconds
% 0.10/0.36 % CPU time: 0.665812 seconds
% 0.10/0.36 % Total memory used: 25.187 MB
% 0.10/0.36 % Net memory used: 24.674 MB
%------------------------------------------------------------------------------