TSTP Solution File: GRP091-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP091-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 20:19:12 EDT 2024
% Result : Unsatisfiable 0.21s 0.45s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 9
% Syntax : Number of formulae : 72 ( 47 unt; 0 def)
% Number of atoms : 103 ( 68 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 57 ( 26 ~; 27 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 87 ( 87 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : divide(divide(X,divide(divide(X,Y),Z)),Y) = Z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : multiply(X,Y) = divide(X,divide(divide(Z,Z),Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Z] : inverse(X) = divide(divide(Z,Z),X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : identity = divide(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : divide(divide(X0,divide(divide(X0,X1),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(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f11,plain,
( spl0_0
<=> multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(split_symbol_definition) ).
fof(f13,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| spl0_0 ),
inference(component_clause,[status(thm)],[f11]) ).
fof(f14,plain,
( spl0_1
<=> multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(split_symbol_definition) ).
fof(f16,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| spl0_1 ),
inference(component_clause,[status(thm)],[f14]) ).
fof(f17,plain,
( spl0_2
<=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(split_symbol_definition) ).
fof(f19,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(component_clause,[status(thm)],[f17]) ).
fof(f20,plain,
( spl0_3
<=> multiply(a4,b4) = multiply(b4,a4) ),
introduced(split_symbol_definition) ).
fof(f22,plain,
( multiply(a4,b4) != multiply(b4,a4)
| spl0_3 ),
inference(component_clause,[status(thm)],[f20]) ).
fof(f23,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f10,f11,f14,f17,f20]) ).
fof(f24,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f25,plain,
! [X0] : inverse(X0) = divide(identity,X0),
inference(backward_demodulation,[status(thm)],[f9,f8]) ).
fof(f26,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f25,f24]) ).
fof(f29,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,multiply(identity,X1)),
inference(paramodulation,[status(thm)],[f26,f24]) ).
fof(f38,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(paramodulation,[status(thm)],[f24,f9]) ).
fof(f313,plain,
! [X0,X1,X2] : divide(divide(X0,X1),divide(divide(X0,X2),X1)) = X2,
inference(paramodulation,[status(thm)],[f6,f6]) ).
fof(f324,plain,
! [X0,X1] : divide(divide(X0,divide(identity,X1)),X0) = X1,
inference(paramodulation,[status(thm)],[f9,f6]) ).
fof(f325,plain,
! [X0,X1] : divide(divide(X0,inverse(X1)),X0) = X1,
inference(forward_demodulation,[status(thm)],[f25,f324]) ).
fof(f326,plain,
! [X0,X1] : divide(multiply(X0,X1),X0) = X1,
inference(forward_demodulation,[status(thm)],[f24,f325]) ).
fof(f374,plain,
! [X0] : divide(identity,inverse(X0)) = X0,
inference(paramodulation,[status(thm)],[f38,f326]) ).
fof(f375,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f25,f374]) ).
fof(f376,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[status(thm)],[f26,f375]) ).
fof(f439,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,X1),
inference(backward_demodulation,[status(thm)],[f376,f29]) ).
fof(f449,plain,
! [X0] : divide(X0,identity) = X0,
inference(paramodulation,[status(thm)],[f376,f326]) ).
fof(f453,plain,
! [X0,X1] : X0 = divide(X1,divide(divide(X1,identity),X0)),
inference(paramodulation,[status(thm)],[f6,f449]) ).
fof(f454,plain,
! [X0,X1] : X0 = divide(X1,divide(X1,X0)),
inference(forward_demodulation,[status(thm)],[f449,f453]) ).
fof(f466,plain,
! [X0,X1] : X0 = divide(multiply(X0,X1),X1),
inference(paramodulation,[status(thm)],[f326,f454]) ).
fof(f471,plain,
! [X0,X1] : inverse(X0) = divide(X1,multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f24,f454]) ).
fof(f482,plain,
! [X0,X1] : X0 = multiply(multiply(X0,inverse(X1)),X1),
inference(paramodulation,[status(thm)],[f24,f466]) ).
fof(f483,plain,
! [X0,X1] : X0 = multiply(divide(X0,X1),X1),
inference(forward_demodulation,[status(thm)],[f439,f482]) ).
fof(f496,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f326,f483]) ).
fof(f499,plain,
! [X0,X1] : X0 = multiply(X1,divide(X0,X1)),
inference(paramodulation,[status(thm)],[f454,f483]) ).
fof(f506,plain,
( $false
| spl0_3 ),
inference(backward_subsumption_resolution,[status(thm)],[f22,f496]) ).
fof(f507,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f506]) ).
fof(f511,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(forward_demodulation,[status(thm)],[f496,f19]) ).
fof(f552,plain,
! [X0,X1] : multiply(inverse(X0),X1) = divide(X1,X0),
inference(paramodulation,[status(thm)],[f496,f439]) ).
fof(f567,plain,
! [X0,X1] : divide(divide(X0,X1),X0) = inverse(X1),
inference(paramodulation,[status(thm)],[f439,f326]) ).
fof(f576,plain,
! [X0,X1] : inverse(divide(X0,X1)) = divide(X1,X0),
inference(paramodulation,[status(thm)],[f499,f471]) ).
fof(f590,plain,
! [X0,X1] : divide(inverse(X0),X1) = divide(inverse(X1),X0),
inference(paramodulation,[status(thm)],[f439,f552]) ).
fof(f619,plain,
! [X0,X1] : divide(inverse(X0),X1) = inverse(multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f471,f567]) ).
fof(f750,plain,
! [X0,X1,X2] : divide(X0,divide(X1,X2)) = inverse(divide(divide(X1,X0),X2)),
inference(paramodulation,[status(thm)],[f313,f567]) ).
fof(f751,plain,
! [X0,X1,X2] : divide(X0,divide(X1,X2)) = divide(X2,divide(X1,X0)),
inference(forward_demodulation,[status(thm)],[f576,f750]) ).
fof(f777,plain,
! [X0,X1,X2] : multiply(X0,divide(X1,X2)) = divide(X0,divide(X2,X1)),
inference(paramodulation,[status(thm)],[f576,f439]) ).
fof(f910,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = divide(X0,divide(inverse(X2),X1)),
inference(paramodulation,[status(thm)],[f619,f24]) ).
fof(f1001,plain,
! [X0,X1,X2] : divide(X0,divide(inverse(X1),X2)) = divide(X1,divide(inverse(X2),X0)),
inference(paramodulation,[status(thm)],[f590,f751]) ).
fof(f1002,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = divide(X2,divide(inverse(X1),X0)),
inference(forward_demodulation,[status(thm)],[f910,f1001]) ).
fof(f1003,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X2,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f910,f1002]) ).
fof(f1208,plain,
( $false
| spl0_2 ),
inference(backward_subsumption_resolution,[status(thm)],[f511,f1003]) ).
fof(f1209,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f1208]) ).
fof(f1210,plain,
( divide(a1,a1) != multiply(inverse(b1),b1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f552,f13]) ).
fof(f1211,plain,
( identity != multiply(inverse(b1),b1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f9,f1210]) ).
fof(f1212,plain,
( identity != divide(b1,b1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f552,f1211]) ).
fof(f1213,plain,
( identity != identity
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f9,f1212]) ).
fof(f1214,plain,
( $false
| spl0_0 ),
inference(trivial_equality_resolution,[status(esa)],[f1213]) ).
fof(f1215,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f1214]) ).
fof(f1217,plain,
( multiply(a2,multiply(inverse(b2),b2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f496,f16]) ).
fof(f1218,plain,
( multiply(b2,multiply(a2,inverse(b2))) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f1003,f1217]) ).
fof(f1219,plain,
( multiply(b2,divide(a2,b2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f439,f1218]) ).
fof(f1220,plain,
( divide(b2,divide(b2,a2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f777,f1219]) ).
fof(f1221,plain,
( a2 != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f454,f1220]) ).
fof(f1222,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f1221]) ).
fof(f1223,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f1222]) ).
fof(f1224,plain,
$false,
inference(sat_refutation,[status(thm)],[f23,f507,f1209,f1215,f1223]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP091-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 00:19:17 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.21/0.45 % Refutation found
% 0.21/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.46 % Elapsed time: 0.109283 seconds
% 0.21/0.46 % CPU time: 0.750161 seconds
% 0.21/0.46 % Total memory used: 50.335 MB
% 0.21/0.46 % Net memory used: 48.911 MB
%------------------------------------------------------------------------------