TSTP Solution File: GRP540-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP540-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 20:20:54 EDT 2024
% Result : Unsatisfiable 0.09s 0.33s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of formulae : 38 ( 38 unt; 0 def)
% Number of atoms : 38 ( 37 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 2 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 : 59 ( 59 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(divide(A,B),divide(divide(A,C),B)) = C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : multiply(A,B) = divide(A,divide(divide(C,C),B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : inverse(A) = divide(divide(B,B),A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : identity = divide(A,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : divide(divide(X0,X1),divide(divide(X0,X2),X1)) = X2,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f7,plain,
! [X0,X1,X2] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f8,plain,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f9,plain,
! [X0] : identity = divide(X0,X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f10,plain,
multiply(a,b) != multiply(b,a),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f11,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f12,plain,
! [X0] : inverse(X0) = divide(identity,X0),
inference(backward_demodulation,[status(thm)],[f9,f8]) ).
fof(f15,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f12,f11]) ).
fof(f16,plain,
! [X0] : multiply(inverse(X0),X0) = identity,
inference(paramodulation,[status(thm)],[f9,f11]) ).
fof(f21,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,multiply(identity,X1)),
inference(paramodulation,[status(thm)],[f15,f11]) ).
fof(f27,plain,
! [X0,X1] : divide(identity,divide(divide(X0,X1),X0)) = X1,
inference(paramodulation,[status(thm)],[f9,f6]) ).
fof(f28,plain,
! [X0,X1] : inverse(divide(divide(X0,X1),X0)) = X1,
inference(forward_demodulation,[status(thm)],[f12,f27]) ).
fof(f32,plain,
! [X0,X1] : divide(divide(X0,divide(X0,X1)),identity) = X1,
inference(paramodulation,[status(thm)],[f9,f6]) ).
fof(f37,plain,
! [X0,X1] : divide(divide(X0,X1),divide(identity,X1)) = X0,
inference(paramodulation,[status(thm)],[f9,f6]) ).
fof(f38,plain,
! [X0,X1] : divide(divide(X0,X1),inverse(X1)) = X0,
inference(forward_demodulation,[status(thm)],[f12,f37]) ).
fof(f39,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f11,f38]) ).
fof(f42,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(paramodulation,[status(thm)],[f11,f39]) ).
fof(f43,plain,
! [X0] : multiply(identity,X0) = X0,
inference(paramodulation,[status(thm)],[f9,f39]) ).
fof(f48,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,X1),
inference(backward_demodulation,[status(thm)],[f43,f21]) ).
fof(f49,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(backward_demodulation,[status(thm)],[f48,f42]) ).
fof(f61,plain,
! [X0] : identity = divide(inverse(inverse(X0)),X0),
inference(paramodulation,[status(thm)],[f16,f48]) ).
fof(f70,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f61,f39]) ).
fof(f71,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f43,f70]) ).
fof(f88,plain,
! [X0] : inverse(divide(inverse(X0),identity)) = X0,
inference(paramodulation,[status(thm)],[f12,f28]) ).
fof(f100,plain,
! [X0] : inverse(divide(X0,identity)) = divide(inverse(X0),identity),
inference(paramodulation,[status(thm)],[f88,f88]) ).
fof(f101,plain,
! [X0] : inverse(divide(X0,identity)) = inverse(X0),
inference(paramodulation,[status(thm)],[f71,f88]) ).
fof(f102,plain,
! [X0] : divide(inverse(X0),identity) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f100,f101]) ).
fof(f115,plain,
! [X0] : divide(X0,identity) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f71,f102]) ).
fof(f116,plain,
! [X0] : divide(X0,identity) = X0,
inference(forward_demodulation,[status(thm)],[f71,f115]) ).
fof(f121,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(backward_demodulation,[status(thm)],[f116,f32]) ).
fof(f156,plain,
! [X0,X1] : multiply(X0,divide(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f121,f39]) ).
fof(f165,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f49,f156]) ).
fof(f166,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f10,f165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GRP540-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n011.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue Apr 30 00:38:01 EDT 2024
% 0.09/0.32 % CPUTime :
% 0.09/0.32 % Drodi V3.6.0
% 0.09/0.33 % Refutation found
% 0.09/0.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.35 % Elapsed time: 0.016958 seconds
% 0.09/0.35 % CPU time: 0.050313 seconds
% 0.09/0.35 % Total memory used: 4.324 MB
% 0.09/0.35 % Net memory used: 4.190 MB
%------------------------------------------------------------------------------