TSTP Solution File: GRP555-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP555-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 20:20:56 EDT 2024
% Result : Unsatisfiable 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 3
% Syntax : Number of formulae : 56 ( 56 unt; 0 def)
% Number of atoms : 56 ( 55 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 6 ( 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 : 161 ( 161 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(divide(A,inverse(divide(B,divide(A,C)))),C) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = divide(A,inverse(B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : divide(divide(X0,inverse(divide(X1,divide(X0,X2)))),X2) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f6,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
! [X0,X1,X2] : divide(multiply(X0,divide(X1,divide(X0,X2))),X2) = X1,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X0,X1,X2] : multiply(multiply(X0,divide(X1,divide(X0,inverse(X2)))),X2) = X1,
inference(paramodulation,[status(thm)],[f5,f7]) ).
fof(f9,plain,
! [X0,X1,X2] : multiply(multiply(X0,divide(X1,multiply(X0,X2))),X2) = X1,
inference(forward_demodulation,[status(thm)],[f5,f8]) ).
fof(f10,plain,
! [X0,X1,X2,X3] : divide(multiply(X0,X1),X2) = multiply(X3,divide(X1,divide(X3,divide(X0,X2)))),
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f16,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),X2) = multiply(X3,divide(X1,divide(X3,multiply(X0,X2)))),
inference(paramodulation,[status(thm)],[f7,f9]) ).
fof(f20,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(X0,X1),X2) = multiply(multiply(X3,divide(X4,divide(X3,multiply(X0,X2)))),divide(X1,X4)),
inference(paramodulation,[status(thm)],[f7,f16]) ).
fof(f21,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),X2) = multiply(multiply(multiply(X0,X3),X2),divide(X1,X3)),
inference(forward_demodulation,[status(thm)],[f16,f20]) ).
fof(f22,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(multiply(X0,divide(X1,multiply(X0,X2))),X3),X2) = multiply(X4,divide(X3,divide(X4,X1))),
inference(paramodulation,[status(thm)],[f9,f16]) ).
fof(f25,plain,
! [X0,X1,X2] : divide(multiply(multiply(X0,X1),X2),multiply(X0,X2)) = X1,
inference(paramodulation,[status(thm)],[f16,f7]) ).
fof(f35,plain,
! [X0,X1,X2] : divide(divide(multiply(X0,X1),X2),divide(X0,X2)) = X1,
inference(paramodulation,[status(thm)],[f10,f7]) ).
fof(f54,plain,
! [X0,X1,X2] : divide(X0,divide(multiply(X1,X0),multiply(X1,X2))) = X2,
inference(paramodulation,[status(thm)],[f25,f35]) ).
fof(f77,plain,
! [X0,X1,X2,X3,X4] : divide(X0,divide(multiply(X1,X0),multiply(multiply(X2,X3),X4))) = divide(X3,divide(X1,multiply(X2,X4))),
inference(paramodulation,[status(thm)],[f16,f54]) ).
fof(f79,plain,
! [X0,X1,X2,X3] : divide(multiply(multiply(X0,X1),X2),multiply(X0,X3)) = multiply(X1,divide(X2,X3)),
inference(paramodulation,[status(thm)],[f54,f10]) ).
fof(f84,plain,
! [X0,X1] : multiply(X0,divide(X1,X1)) = X0,
inference(backward_demodulation,[status(thm)],[f79,f25]) ).
fof(f85,plain,
! [X0,X1,X2] : X0 = multiply(X1,divide(X0,multiply(X1,divide(X2,X2)))),
inference(paramodulation,[status(thm)],[f9,f84]) ).
fof(f86,plain,
! [X0,X1] : X0 = multiply(X1,divide(X0,X1)),
inference(forward_demodulation,[status(thm)],[f84,f85]) ).
fof(f97,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),divide(X2,X2)) = multiply(X3,divide(X1,divide(X3,X0))),
inference(paramodulation,[status(thm)],[f84,f16]) ).
fof(f98,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(X2,divide(X1,divide(X2,X0))),
inference(forward_demodulation,[status(thm)],[f84,f97]) ).
fof(f101,plain,
! [X0,X1,X2] : divide(multiply(X0,X1),X2) = multiply(divide(X0,X2),X1),
inference(backward_demodulation,[status(thm)],[f98,f10]) ).
fof(f102,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(multiply(X0,X2),X1),
inference(backward_demodulation,[status(thm)],[f98,f16]) ).
fof(f112,plain,
! [X0,X1,X2,X3] : multiply(multiply(multiply(X0,divide(X1,multiply(X0,X2))),X3),X2) = multiply(X1,X3),
inference(backward_demodulation,[status(thm)],[f98,f22]) ).
fof(f156,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f5,f86]) ).
fof(f157,plain,
! [X0,X1,X2] : divide(X0,divide(multiply(X1,X0),X2)) = divide(X2,X1),
inference(paramodulation,[status(thm)],[f86,f54]) ).
fof(f163,plain,
! [X0,X1,X2,X3] : divide(multiply(multiply(X0,X1),X2),X3) = divide(X1,divide(X3,multiply(X0,X2))),
inference(backward_demodulation,[status(thm)],[f157,f77]) ).
fof(f215,plain,
! [X0,X1,X2] : multiply(X0,divide(X1,multiply(X0,X2))) = multiply(inverse(X2),X1),
inference(paramodulation,[status(thm)],[f9,f156]) ).
fof(f217,plain,
! [X0,X1] : X0 = multiply(inverse(divide(X1,X0)),X1),
inference(paramodulation,[status(thm)],[f86,f156]) ).
fof(f223,plain,
! [X0,X1,X2] : multiply(multiply(multiply(inverse(X0),X1),X2),X0) = multiply(X1,X2),
inference(backward_demodulation,[status(thm)],[f215,f112]) ).
fof(f245,plain,
! [X0,X1,X2] : divide(X0,X1) = multiply(inverse(X2),divide(multiply(X0,X2),X1)),
inference(paramodulation,[status(thm)],[f101,f156]) ).
fof(f301,plain,
! [X0,X1] : inverse(divide(X0,X1)) = multiply(inverse(X0),X1),
inference(paramodulation,[status(thm)],[f217,f156]) ).
fof(f305,plain,
! [X0,X1] : X0 = inverse(divide(X1,multiply(X0,X1))),
inference(backward_demodulation,[status(thm)],[f301,f156]) ).
fof(f316,plain,
! [X0,X1,X2] : divide(X0,X1) = inverse(divide(X2,divide(multiply(X0,X2),X1))),
inference(backward_demodulation,[status(thm)],[f301,f245]) ).
fof(f317,plain,
! [X0,X1] : divide(X0,X1) = inverse(divide(X1,X0)),
inference(forward_demodulation,[status(thm)],[f157,f316]) ).
fof(f336,plain,
! [X0,X1,X2] : multiply(multiply(inverse(divide(X0,X1)),X2),X0) = multiply(X1,X2),
inference(backward_demodulation,[status(thm)],[f301,f223]) ).
fof(f337,plain,
! [X0,X1,X2] : multiply(inverse(divide(divide(X0,X1),X2)),X0) = multiply(X1,X2),
inference(forward_demodulation,[status(thm)],[f301,f336]) ).
fof(f338,plain,
! [X0,X1,X2] : inverse(divide(divide(divide(X0,X1),X2),X0)) = multiply(X1,X2),
inference(forward_demodulation,[status(thm)],[f301,f337]) ).
fof(f339,plain,
! [X0,X1,X2] : divide(X0,divide(divide(X0,X1),X2)) = multiply(X1,X2),
inference(forward_demodulation,[status(thm)],[f317,f338]) ).
fof(f348,plain,
! [X0,X1] : X0 = divide(multiply(X0,X1),X1),
inference(backward_demodulation,[status(thm)],[f317,f305]) ).
fof(f374,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f348,f86]) ).
fof(f375,plain,
! [X0,X1,X2] : divide(multiply(X0,X1),X2) = multiply(X1,divide(X0,X2)),
inference(paramodulation,[status(thm)],[f101,f374]) ).
fof(f382,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(paramodulation,[status(thm)],[f374,f6]) ).
fof(f395,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),X2) = divide(multiply(X1,multiply(multiply(X0,X3),X2)),X3),
inference(backward_demodulation,[status(thm)],[f375,f21]) ).
fof(f444,plain,
! [X0,X1,X2] : multiply(X0,divide(X1,X2)) = divide(X0,divide(X2,X1)),
inference(paramodulation,[status(thm)],[f317,f5]) ).
fof(f445,plain,
! [X0,X1,X2] : divide(multiply(X0,X1),X2) = divide(X1,divide(X2,X0)),
inference(forward_demodulation,[status(thm)],[f375,f444]) ).
fof(f451,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),X2) = divide(multiply(multiply(X0,X3),X2),divide(X3,X1)),
inference(backward_demodulation,[status(thm)],[f445,f395]) ).
fof(f452,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),X2) = divide(X3,divide(divide(X3,X1),multiply(X0,X2))),
inference(forward_demodulation,[status(thm)],[f163,f451]) ).
fof(f453,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X1,multiply(X0,X2)),
inference(forward_demodulation,[status(thm)],[f339,f452]) ).
fof(f480,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X2,multiply(X0,X1)),
inference(backward_demodulation,[status(thm)],[f453,f102]) ).
fof(f481,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X2,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f453,f480]) ).
fof(f650,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X2,X0)),
inference(paramodulation,[status(thm)],[f374,f481]) ).
fof(f651,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f382,f650]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP555-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 00:25:34 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.38 % Elapsed time: 0.028331 seconds
% 0.13/0.38 % CPU time: 0.126879 seconds
% 0.13/0.38 % Total memory used: 5.810 MB
% 0.13/0.38 % Net memory used: 5.625 MB
%------------------------------------------------------------------------------