TSTP Solution File: GRP090-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP090-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 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 20:19:12 EDT 2024
% Result : Unsatisfiable 0.14s 0.35s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 8
% Syntax : Number of formulae : 84 ( 61 unt; 0 def)
% Number of atoms : 113 ( 80 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 53 ( 24 ~; 25 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 132 ( 132 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : divide(divide(X,divide(Y,Z)),divide(X,Y)) = Z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : multiply(X,Y) = divide(X,divide(divide(Z,Z),Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Z] : inverse(X) = divide(divide(Z,Z),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,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/sandbox/benchmark/theBenchmark.p') ).
fof(f5,plain,
! [X0,X1,X2] : divide(divide(X0,divide(X1,X2)),divide(X0,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(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)],[f4]) ).
fof(f9,plain,
( spl0_0
<=> multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(split_symbol_definition) ).
fof(f11,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| spl0_0 ),
inference(component_clause,[status(thm)],[f9]) ).
fof(f12,plain,
( spl0_1
<=> multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(split_symbol_definition) ).
fof(f14,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| spl0_1 ),
inference(component_clause,[status(thm)],[f12]) ).
fof(f15,plain,
( spl0_2
<=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(split_symbol_definition) ).
fof(f17,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(component_clause,[status(thm)],[f15]) ).
fof(f18,plain,
( spl0_3
<=> multiply(a4,b4) = multiply(b4,a4) ),
introduced(split_symbol_definition) ).
fof(f20,plain,
( multiply(a4,b4) != multiply(b4,a4)
| spl0_3 ),
inference(component_clause,[status(thm)],[f18]) ).
fof(f21,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f8,f9,f12,f15,f18]) ).
fof(f22,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f7,f6]) ).
fof(f23,plain,
! [X0,X1] : inverse(X0) = divide(inverse(divide(X1,X1)),X0),
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f26,plain,
! [X0,X1] : inverse(X0) = divide(multiply(inverse(X1),X1),X0),
inference(paramodulation,[status(thm)],[f22,f7]) ).
fof(f27,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(inverse(divide(X1,X1)),X0),
inference(paramodulation,[status(thm)],[f22,f23]) ).
fof(f28,plain,
! [X0,X1] : inverse(X0) = divide(inverse(inverse(inverse(divide(X1,X1)))),X0),
inference(paramodulation,[status(thm)],[f23,f23]) ).
fof(f29,plain,
! [X0,X1] : inverse(X0) = divide(inverse(inverse(divide(X1,X1))),X0),
inference(paramodulation,[status(thm)],[f7,f23]) ).
fof(f30,plain,
! [X0,X1] : inverse(X0) = divide(inverse(multiply(inverse(X1),X1)),X0),
inference(paramodulation,[status(thm)],[f22,f23]) ).
fof(f160,plain,
! [X0,X1,X2] : divide(inverse(divide(X0,X1)),divide(multiply(inverse(X2),X2),X0)) = X1,
inference(paramodulation,[status(thm)],[f26,f5]) ).
fof(f161,plain,
! [X0,X1] : divide(inverse(divide(X0,X1)),inverse(X0)) = X1,
inference(forward_demodulation,[status(thm)],[f26,f160]) ).
fof(f162,plain,
! [X0,X1] : multiply(inverse(divide(X0,X1)),X0) = X1,
inference(forward_demodulation,[status(thm)],[f22,f161]) ).
fof(f199,plain,
! [X0,X1,X2] : divide(divide(X0,inverse(X1)),divide(X0,inverse(multiply(inverse(X2),X2)))) = X1,
inference(paramodulation,[status(thm)],[f30,f5]) ).
fof(f200,plain,
! [X0,X1,X2] : divide(multiply(X0,X1),divide(X0,inverse(multiply(inverse(X2),X2)))) = X1,
inference(forward_demodulation,[status(thm)],[f22,f199]) ).
fof(f201,plain,
! [X0,X1,X2] : divide(multiply(X0,X1),multiply(X0,multiply(inverse(X2),X2))) = X1,
inference(forward_demodulation,[status(thm)],[f22,f200]) ).
fof(f234,plain,
! [X0,X1,X2] : divide(divide(X0,divide(inverse(X1),X2)),multiply(X0,X1)) = X2,
inference(paramodulation,[status(thm)],[f22,f5]) ).
fof(f236,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(paramodulation,[status(thm)],[f27,f162]) ).
fof(f237,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),multiply(inverse(X1),X1)) = X0,
inference(paramodulation,[status(thm)],[f26,f162]) ).
fof(f238,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X1),X1)) = X0,
inference(forward_demodulation,[status(thm)],[f236,f237]) ).
fof(f245,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),inverse(inverse(inverse(divide(X1,X1))))) = X0,
inference(paramodulation,[status(thm)],[f28,f162]) ).
fof(f246,plain,
! [X0,X1] : multiply(X0,inverse(inverse(inverse(divide(X1,X1))))) = X0,
inference(forward_demodulation,[status(thm)],[f236,f245]) ).
fof(f247,plain,
! [X0,X1] : multiply(X0,inverse(divide(X1,X1))) = X0,
inference(forward_demodulation,[status(thm)],[f236,f246]) ).
fof(f248,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),inverse(inverse(divide(X1,X1)))) = X0,
inference(paramodulation,[status(thm)],[f29,f162]) ).
fof(f249,plain,
! [X0,X1] : multiply(X0,inverse(inverse(divide(X1,X1)))) = X0,
inference(forward_demodulation,[status(thm)],[f236,f248]) ).
fof(f250,plain,
! [X0,X1] : multiply(X0,divide(X1,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f236,f249]) ).
fof(f306,plain,
! [X0,X1] : divide(multiply(X0,X1),X0) = X1,
inference(backward_demodulation,[status(thm)],[f238,f201]) ).
fof(f312,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,X1),
inference(paramodulation,[status(thm)],[f236,f22]) ).
fof(f313,plain,
! [X0,X1] : divide(X0,divide(X1,X1)) = X0,
inference(backward_demodulation,[status(thm)],[f312,f247]) ).
fof(f339,plain,
! [X0,X1] : divide(X0,inverse(divide(X1,X0))) = X1,
inference(paramodulation,[status(thm)],[f162,f306]) ).
fof(f340,plain,
! [X0,X1] : multiply(X0,divide(X1,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f22,f339]) ).
fof(f341,plain,
! [X0,X1] : divide(X0,X0) = divide(X1,X1),
inference(paramodulation,[status(thm)],[f250,f306]) ).
fof(f352,plain,
! [X0,X1] : X0 = divide(X1,divide(X1,X0)),
inference(paramodulation,[status(thm)],[f5,f313]) ).
fof(f387,plain,
! [X0,X1,X2] : multiply(divide(X0,X1),X2) = divide(X0,divide(X1,X2)),
inference(paramodulation,[status(thm)],[f5,f340]) ).
fof(f465,plain,
! [X0,X1] : X0 = divide(multiply(X0,X1),X1),
inference(paramodulation,[status(thm)],[f306,f352]) ).
fof(f474,plain,
! [X0,X1] : inverse(X0) = divide(X1,multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f22,f352]) ).
fof(f488,plain,
! [X0,X1] : multiply(inverse(X0),X1) = divide(X1,X0),
inference(paramodulation,[status(thm)],[f352,f162]) ).
fof(f521,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f465,f340]) ).
fof(f522,plain,
( $false
| spl0_3 ),
inference(backward_subsumption_resolution,[status(thm)],[f20,f521]) ).
fof(f523,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f522]) ).
fof(f524,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(forward_demodulation,[status(thm)],[f521,f17]) ).
fof(f545,plain,
! [X0,X1] : divide(divide(X0,X1),X0) = inverse(X1),
inference(paramodulation,[status(thm)],[f312,f306]) ).
fof(f604,plain,
! [X0,X1] : inverse(divide(X0,X1)) = divide(X1,X0),
inference(paramodulation,[status(thm)],[f340,f474]) ).
fof(f622,plain,
! [X0,X1] : divide(inverse(X0),X1) = divide(inverse(X1),X0),
inference(paramodulation,[status(thm)],[f312,f488]) ).
fof(f814,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = divide(X0,divide(inverse(X1),X2)),
inference(paramodulation,[status(thm)],[f234,f340]) ).
fof(f829,plain,
! [X0,X1] : divide(inverse(X0),X1) = inverse(multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f474,f545]) ).
fof(f862,plain,
! [X0,X1,X2] : multiply(divide(X0,X1),X2) = divide(X2,divide(X1,X0)),
inference(paramodulation,[status(thm)],[f604,f488]) ).
fof(f863,plain,
! [X0,X1,X2] : divide(X0,divide(X1,X2)) = divide(X2,divide(X1,X0)),
inference(forward_demodulation,[status(thm)],[f387,f862]) ).
fof(f864,plain,
! [X0,X1,X2] : multiply(X0,divide(X1,X2)) = divide(X0,divide(X2,X1)),
inference(paramodulation,[status(thm)],[f604,f312]) ).
fof(f958,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = divide(X0,divide(inverse(X2),X1)),
inference(paramodulation,[status(thm)],[f829,f22]) ).
fof(f959,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X2),X1),
inference(forward_demodulation,[status(thm)],[f814,f958]) ).
fof(f1085,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = divide(X0,divide(inverse(X1),X2)),
inference(paramodulation,[status(thm)],[f22,f387]) ).
fof(f1086,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = divide(X0,divide(inverse(X2),X1)),
inference(forward_demodulation,[status(thm)],[f959,f1085]) ).
fof(f1209,plain,
! [X0,X1,X2] : divide(X0,divide(inverse(X1),X2)) = divide(X1,divide(inverse(X2),X0)),
inference(paramodulation,[status(thm)],[f622,f863]) ).
fof(f1210,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = divide(X2,divide(inverse(X1),X0)),
inference(forward_demodulation,[status(thm)],[f1086,f1209]) ).
fof(f1211,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X2,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f1086,f1210]) ).
fof(f1353,plain,
( $false
| spl0_2 ),
inference(backward_subsumption_resolution,[status(thm)],[f524,f1211]) ).
fof(f1354,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f1353]) ).
fof(f1355,plain,
( divide(a1,a1) != multiply(inverse(b1),b1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f488,f11]) ).
fof(f1356,plain,
( divide(a1,a1) != divide(b1,b1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f488,f1355]) ).
fof(f1357,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f1356,f341]) ).
fof(f1358,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f1357]) ).
fof(f1360,plain,
( multiply(a2,multiply(inverse(b2),b2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f521,f14]) ).
fof(f1361,plain,
( multiply(b2,multiply(a2,inverse(b2))) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f1211,f1360]) ).
fof(f1362,plain,
( multiply(b2,divide(a2,b2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f312,f1361]) ).
fof(f1363,plain,
( divide(b2,divide(b2,a2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f864,f1362]) ).
fof(f1364,plain,
( a2 != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f352,f1363]) ).
fof(f1365,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f1364]) ).
fof(f1366,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f1365]) ).
fof(f1367,plain,
$false,
inference(sat_refutation,[status(thm)],[f21,f523,f1354,f1358,f1366]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP090-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.31 % Computer : n026.cluster.edu
% 0.08/0.31 % Model : x86_64 x86_64
% 0.08/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.31 % Memory : 8042.1875MB
% 0.08/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.31 % CPULimit : 300
% 0.08/0.31 % WCLimit : 300
% 0.08/0.31 % DateTime : Tue Apr 30 00:55:34 EDT 2024
% 0.08/0.31 % CPUTime :
% 0.14/0.32 % Drodi V3.6.0
% 0.14/0.35 % Refutation found
% 0.14/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.37 % Elapsed time: 0.055964 seconds
% 0.14/0.37 % CPU time: 0.319274 seconds
% 0.14/0.37 % Total memory used: 45.434 MB
% 0.14/0.37 % Net memory used: 44.122 MB
%------------------------------------------------------------------------------