TSTP Solution File: RNG023-7 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : RNG023-7 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 12:32:38 EDT 2023
% Result : Unsatisfiable 0.15s 0.33s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 29 unt; 0 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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; 3 con; 0-3 aty)
% Number of variables : 53 (; 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X] : multiply(X,additive_identity) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] : add(X,additive_inverse(X)) = additive_identity,
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(f13,axiom,
! [X,Y] : multiply(multiply(X,X),Y) = multiply(X,multiply(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X,Y,Z] : associator(X,Y,Z) = add(multiply(multiply(X,Y),Z),additive_inverse(multiply(X,multiply(Y,Z)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X,Y] : multiply(additive_inverse(X),Y) = additive_inverse(multiply(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X,Y] : multiply(X,additive_inverse(Y)) = additive_inverse(multiply(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
associator(x,x,y) != additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,plain,
! [X0] : multiply(X0,additive_identity) = additive_identity,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f29,plain,
! [X0] : add(X0,additive_inverse(X0)) = additive_identity,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f31,plain,
! [X0,X1,X2] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f36,plain,
! [X0,X1] : multiply(multiply(X0,X0),X1) = multiply(X0,multiply(X0,X1)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f37,plain,
! [X0,X1,X2] : associator(X0,X1,X2) = add(multiply(multiply(X0,X1),X2),additive_inverse(multiply(X0,multiply(X1,X2)))),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f40,plain,
! [X0,X1] : multiply(additive_inverse(X0),X1) = additive_inverse(multiply(X0,X1)),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f41,plain,
! [X0,X1] : multiply(X0,additive_inverse(X1)) = additive_inverse(multiply(X0,X1)),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f46,plain,
associator(x,x,y) != additive_identity,
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f129,plain,
! [X0,X1,X2] : associator(X0,X1,X2) = add(multiply(multiply(X0,X1),X2),multiply(additive_inverse(X0),multiply(X1,X2))),
inference(backward_demodulation,[status(thm)],[f40,f37]) ).
fof(f144,plain,
! [X0,X1] : multiply(X0,additive_inverse(X1)) = multiply(additive_inverse(X0),X1),
inference(forward_demodulation,[status(thm)],[f40,f41]) ).
fof(f146,plain,
! [X0,X1] : multiply(X0,additive_inverse(X1)) = additive_inverse(multiply(X0,X1)),
inference(backward_demodulation,[status(thm)],[f144,f40]) ).
fof(f468,plain,
! [X0,X1,X2] : associator(X0,X1,X2) = add(multiply(multiply(X0,X1),X2),multiply(X0,additive_inverse(multiply(X1,X2)))),
inference(forward_demodulation,[status(thm)],[f144,f129]) ).
fof(f469,plain,
! [X0,X1,X2] : associator(X0,X1,X2) = add(multiply(multiply(X0,X1),X2),multiply(X0,multiply(X1,additive_inverse(X2)))),
inference(forward_demodulation,[status(thm)],[f146,f468]) ).
fof(f470,plain,
! [X0,X1] : associator(X0,X0,X1) = add(multiply(X0,multiply(X0,X1)),multiply(X0,multiply(X0,additive_inverse(X1)))),
inference(paramodulation,[status(thm)],[f36,f469]) ).
fof(f471,plain,
! [X0,X1] : associator(X0,X0,X1) = multiply(X0,add(multiply(X0,X1),multiply(X0,additive_inverse(X1)))),
inference(forward_demodulation,[status(thm)],[f31,f470]) ).
fof(f472,plain,
! [X0,X1] : associator(X0,X0,X1) = multiply(X0,multiply(X0,add(X1,additive_inverse(X1)))),
inference(forward_demodulation,[status(thm)],[f31,f471]) ).
fof(f473,plain,
! [X0,X1] : associator(X0,X0,X1) = multiply(X0,multiply(X0,additive_identity)),
inference(forward_demodulation,[status(thm)],[f29,f472]) ).
fof(f474,plain,
! [X0,X1] : associator(X0,X0,X1) = multiply(X0,additive_identity),
inference(forward_demodulation,[status(thm)],[f27,f473]) ).
fof(f475,plain,
! [X0,X1] : associator(X0,X0,X1) = additive_identity,
inference(forward_demodulation,[status(thm)],[f27,f474]) ).
fof(f553,plain,
additive_identity != additive_identity,
inference(backward_demodulation,[status(thm)],[f475,f46]) ).
fof(f554,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f553]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : RNG023-7 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n032.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 10:37:46 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.5.1
% 0.15/0.33 % Refutation found
% 0.15/0.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.35 % Elapsed time: 0.038487 seconds
% 0.15/0.35 % CPU time: 0.030651 seconds
% 0.15/0.35 % Memory used: 583.789 KB
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