TSTP Solution File: BOO006-2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : BOO006-2 : 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 : Wed May 31 12:02:43 EDT 2023
% Result : Unsatisfiable 0.11s 0.36s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 28 unt; 0 def)
% Number of atoms : 28 ( 27 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 : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 39 (; 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X,Y] : multiply(X,Y) = multiply(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z] : multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] : add(inverse(X),X) = multiplicative_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X] : multiply(X,multiplicative_identity) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] : multiply(multiplicative_identity,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X] : add(additive_identity,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
multiply(a,additive_identity) != additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f18,plain,
! [X0,X1,X2] : add(multiply(X0,X1),X2) = multiply(add(X0,X2),add(X1,X2)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f20,plain,
! [X0,X1,X2] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f23,plain,
! [X0] : add(inverse(X0),X0) = multiplicative_identity,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f26,plain,
! [X0] : multiply(X0,multiplicative_identity) = X0,
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f27,plain,
! [X0] : multiply(multiplicative_identity,X0) = X0,
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f29,plain,
! [X0] : add(additive_identity,X0) = X0,
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f30,plain,
multiply(a,additive_identity) != additive_identity,
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f31,plain,
multiply(additive_identity,a) != additive_identity,
inference(forward_demodulation,[status(thm)],[f17,f30]) ).
fof(f76,plain,
! [X0,X1] : add(multiply(inverse(X0),X1),X0) = multiply(multiplicative_identity,add(X1,X0)),
inference(paramodulation,[status(thm)],[f23,f18]) ).
fof(f77,plain,
! [X0,X1] : add(multiply(inverse(X0),X1),X0) = add(X1,X0),
inference(forward_demodulation,[status(thm)],[f27,f76]) ).
fof(f107,plain,
! [X0] : add(inverse(X0),X0) = add(multiplicative_identity,X0),
inference(paramodulation,[status(thm)],[f26,f77]) ).
fof(f108,plain,
! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
inference(forward_demodulation,[status(thm)],[f23,f107]) ).
fof(f348,plain,
! [X0,X1] : multiply(add(multiplicative_identity,X0),X1) = add(X1,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f27,f20]) ).
fof(f349,plain,
! [X0,X1] : multiply(multiplicative_identity,X0) = add(X0,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f108,f348]) ).
fof(f350,plain,
! [X0,X1] : X0 = add(X0,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f27,f349]) ).
fof(f422,plain,
! [X0,X1] : X0 = add(X0,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f17,f350]) ).
fof(f472,plain,
! [X0] : additive_identity = multiply(additive_identity,X0),
inference(paramodulation,[status(thm)],[f29,f422]) ).
fof(f492,plain,
additive_identity != additive_identity,
inference(backward_demodulation,[status(thm)],[f472,f31]) ).
fof(f493,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f492]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : BOO006-2 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n008.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue May 30 10:45:38 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % Drodi V3.5.1
% 0.11/0.36 % Refutation found
% 0.11/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.59 % Elapsed time: 0.048873 seconds
% 0.16/0.59 % CPU time: 0.083874 seconds
% 0.16/0.59 % Memory used: 1.775 MB
%------------------------------------------------------------------------------