TSTP Solution File: GRP527-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP527-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 20:20:52 EDT 2024
% Result : Unsatisfiable 0.10s 0.35s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 4
% Syntax : Number of formulae : 62 ( 62 unt; 0 def)
% Number of atoms : 62 ( 61 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 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 : 139 ( 139 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(A,divide(divide(A,B),divide(C,B))) = C,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : multiply(A,B) = divide(A,divide(divide(C,C),B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : inverse(A) = divide(divide(B,B),A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,plain,
! [X0,X1,X2] : divide(X0,divide(divide(X0,X1),divide(X2,X1))) = X2,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f6,plain,
! [X0,X1,X2] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f7,plain,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f8,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f9,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f7,f6]) ).
fof(f10,plain,
! [X0,X1] : inverse(X0) = divide(inverse(divide(X1,X1)),X0),
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f11,plain,
! [X0,X1] : multiply(divide(X0,X0),X1) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f7,f9]) ).
fof(f34,plain,
! [X0,X1] : divide(X0,inverse(divide(X1,X0))) = X1,
inference(paramodulation,[status(thm)],[f7,f5]) ).
fof(f35,plain,
! [X0,X1] : multiply(X0,divide(X1,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f9,f34]) ).
fof(f36,plain,
! [X0,X1,X2] : divide(X0,X1) = divide(divide(X0,divide(X1,X2)),X2),
inference(paramodulation,[status(thm)],[f5,f5]) ).
fof(f62,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = inverse(divide(X1,X1)),
inference(paramodulation,[status(thm)],[f10,f35]) ).
fof(f64,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = divide(X1,X1),
inference(paramodulation,[status(thm)],[f7,f35]) ).
fof(f65,plain,
! [X0,X1,X2] : multiply(divide(divide(X0,X1),divide(X2,X1)),X2) = X0,
inference(paramodulation,[status(thm)],[f5,f35]) ).
fof(f66,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f9,f35]) ).
fof(f68,plain,
! [X0,X1] : multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(paramodulation,[status(thm)],[f66,f66]) ).
fof(f70,plain,
! [X0,X1] : multiply(inverse(divide(X0,X1)),X0) = X1,
inference(paramodulation,[status(thm)],[f35,f66]) ).
fof(f71,plain,
! [X0] : multiply(X0,inverse(X0)) = divide(a3,a3),
inference(equality_split,[status(esa)],[f64]) ).
fof(f72,plain,
! [X0] : divide(X0,X0) = divide(a3,a3),
inference(equality_split,[status(esa)],[f64]) ).
fof(f79,plain,
! [X0,X1] : multiply(inverse(X0),inverse(X1)) = inverse(multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f66,f68]) ).
fof(f83,plain,
! [X0,X1] : multiply(inverse(X0),X1) = inverse(divide(X0,X1)),
inference(paramodulation,[status(thm)],[f35,f68]) ).
fof(f91,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(backward_demodulation,[status(thm)],[f83,f70]) ).
fof(f92,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(inverse(X1),X1),
inference(backward_demodulation,[status(thm)],[f83,f62]) ).
fof(f93,plain,
! [X0] : divide(a3,a3) = multiply(inverse(X0),X0),
inference(forward_demodulation,[status(thm)],[f71,f92]) ).
fof(f115,plain,
! [X0] : multiply(divide(a3,a3),X0) = X0,
inference(paramodulation,[status(thm)],[f93,f91]) ).
fof(f116,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f11,f115]) ).
fof(f127,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X0)) = X1,
inference(paramodulation,[status(thm)],[f116,f91]) ).
fof(f130,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,X1),
inference(paramodulation,[status(thm)],[f116,f9]) ).
fof(f132,plain,
! [X0,X1] : divide(multiply(X0,X1),X0) = X1,
inference(backward_demodulation,[status(thm)],[f130,f127]) ).
fof(f133,plain,
! [X0,X1] : divide(inverse(X0),X1) = inverse(multiply(X0,X1)),
inference(backward_demodulation,[status(thm)],[f130,f79]) ).
fof(f137,plain,
! [X0,X1] : divide(X0,multiply(inverse(X1),X0)) = X1,
inference(paramodulation,[status(thm)],[f91,f132]) ).
fof(f146,plain,
! [X0,X1] : inverse(multiply(inverse(X0),divide(X1,X1))) = X0,
inference(paramodulation,[status(thm)],[f7,f137]) ).
fof(f147,plain,
! [X0,X1] : divide(inverse(inverse(X0)),divide(X1,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f133,f146]) ).
fof(f148,plain,
! [X0,X1] : divide(X0,divide(X1,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f116,f147]) ).
fof(f149,plain,
! [X0] : divide(X0,divide(a3,a3)) = X0,
inference(forward_demodulation,[status(thm)],[f72,f148]) ).
fof(f180,plain,
! [X0,X1,X2,X3] : divide(divide(X0,divide(X1,divide(X2,X3))),X2) = divide(divide(X0,X1),X3),
inference(paramodulation,[status(thm)],[f36,f36]) ).
fof(f184,plain,
! [X0,X1,X2] : divide(X0,multiply(X1,X2)) = divide(divide(X0,X2),X1),
inference(paramodulation,[status(thm)],[f132,f36]) ).
fof(f185,plain,
! [X0,X1,X2,X3] : divide(X0,divide(X1,divide(X2,X3))) = divide(divide(X0,divide(X1,X2)),X3),
inference(paramodulation,[status(thm)],[f36,f36]) ).
fof(f186,plain,
! [X0,X1,X2,X3] : divide(X0,divide(X1,divide(X2,X3))) = divide(X0,multiply(X3,divide(X1,X2))),
inference(forward_demodulation,[status(thm)],[f184,f185]) ).
fof(f198,plain,
! [X0,X1] : inverse(X0) = divide(divide(X1,X0),X1),
inference(paramodulation,[status(thm)],[f36,f7]) ).
fof(f199,plain,
! [X0,X1] : inverse(X0) = divide(X1,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f184,f198]) ).
fof(f202,plain,
! [X0,X1,X2] : multiply(X0,divide(X1,X2)) = divide(X1,divide(X2,X0)),
inference(paramodulation,[status(thm)],[f36,f35]) ).
fof(f207,plain,
! [X0,X1,X2,X3] : divide(X0,multiply(X1,divide(X2,divide(X1,X3)))) = divide(divide(X0,X2),X3),
inference(backward_demodulation,[status(thm)],[f184,f180]) ).
fof(f208,plain,
! [X0,X1,X2,X3] : divide(X0,divide(X1,divide(divide(X2,X3),X2))) = divide(divide(X0,X1),X3),
inference(forward_demodulation,[status(thm)],[f186,f207]) ).
fof(f209,plain,
! [X0,X1,X2,X3] : divide(X0,divide(X1,divide(X2,multiply(X2,X3)))) = divide(divide(X0,X1),X3),
inference(forward_demodulation,[status(thm)],[f184,f208]) ).
fof(f210,plain,
! [X0,X1,X2] : divide(X0,divide(X1,inverse(X2))) = divide(divide(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f199,f209]) ).
fof(f211,plain,
! [X0,X1,X2] : divide(X0,multiply(X1,X2)) = divide(divide(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f9,f210]) ).
fof(f212,plain,
! [X0,X1,X2] : divide(X0,multiply(X1,X2)) = divide(X0,multiply(X2,X1)),
inference(forward_demodulation,[status(thm)],[f184,f211]) ).
fof(f213,plain,
! [X0,X1,X2] : multiply(divide(X0,multiply(divide(X1,X2),X2)),X1) = X0,
inference(backward_demodulation,[status(thm)],[f184,f65]) ).
fof(f214,plain,
! [X0,X1,X2] : multiply(divide(X0,multiply(X1,divide(X2,X1))),X2) = X0,
inference(forward_demodulation,[status(thm)],[f212,f213]) ).
fof(f215,plain,
! [X0,X1,X2] : multiply(divide(X0,divide(X1,divide(X2,X2))),X1) = X0,
inference(forward_demodulation,[status(thm)],[f186,f214]) ).
fof(f216,plain,
! [X0,X1] : multiply(divide(X0,divide(X1,divide(a3,a3))),X1) = X0,
inference(forward_demodulation,[status(thm)],[f72,f215]) ).
fof(f217,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f149,f216]) ).
fof(f230,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f132,f217]) ).
fof(f272,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(paramodulation,[status(thm)],[f230,f8]) ).
fof(f391,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = divide(X0,divide(inverse(X1),X2)),
inference(paramodulation,[status(thm)],[f133,f9]) ).
fof(f545,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = divide(X1,divide(inverse(X2),X0)),
inference(paramodulation,[status(thm)],[f9,f202]) ).
fof(f546,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X2,X0)),
inference(forward_demodulation,[status(thm)],[f391,f545]) ).
fof(f547,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f272,f546]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP527-1 : TPTP v8.1.2. Released v2.6.0.
% 0.06/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n026.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Tue Apr 30 00:53:19 EDT 2024
% 0.10/0.33 % CPUTime :
% 0.10/0.34 % Drodi V3.6.0
% 0.10/0.35 % Refutation found
% 0.10/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.36 % Elapsed time: 0.022332 seconds
% 0.10/0.36 % CPU time: 0.102755 seconds
% 0.10/0.36 % Total memory used: 5.355 MB
% 0.10/0.36 % Net memory used: 5.038 MB
%------------------------------------------------------------------------------