TSTP Solution File: GRP063-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP063-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 : Wed May 31 12:10:06 EDT 2023
% Result : Unsatisfiable 0.15s 0.42s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 7
% Syntax : Number of formulae : 81 ( 66 unt; 0 def)
% Number of atoms : 99 ( 77 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 15 ~; 15 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 166 (; 166 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : divide(X,divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z))) = Y,
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,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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,plain,
! [X0,X1,X2] : divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(divide(divide(X0,X0),X0),X2))) = X1,
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)) ),
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_0
| ~ spl0_1
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f8,f9,f12,f15]) ).
fof(f19,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f7,f6]) ).
fof(f20,plain,
! [X0,X1,X2] : divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(inverse(X0),X2))) = X1,
inference(backward_demodulation,[status(thm)],[f7,f5]) ).
fof(f21,plain,
! [X0,X1,X2] : divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[status(thm)],[f7,f20]) ).
fof(f22,plain,
! [X0,X1] : inverse(X0) = divide(inverse(divide(X1,X1)),X0),
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f25,plain,
! [X0,X1] : inverse(X0) = divide(multiply(inverse(X1),X1),X0),
inference(paramodulation,[status(thm)],[f19,f7]) ).
fof(f28,plain,
! [X0,X1] : inverse(X0) = divide(inverse(inverse(divide(X1,X1))),X0),
inference(paramodulation,[status(thm)],[f7,f22]) ).
fof(f35,plain,
! [X0,X1,X2] : inverse(divide(divide(inverse(X0),X1),divide(inverse(inverse(divide(X2,X2))),X1))) = X0,
inference(paramodulation,[status(thm)],[f22,f21]) ).
fof(f36,plain,
! [X0,X1] : inverse(divide(divide(inverse(X0),X1),inverse(X1))) = X0,
inference(forward_demodulation,[status(thm)],[f28,f35]) ).
fof(f37,plain,
! [X0,X1] : inverse(multiply(divide(inverse(X0),X1),X1)) = X0,
inference(forward_demodulation,[status(thm)],[f19,f36]) ).
fof(f41,plain,
! [X0,X1] : divide(X0,inverse(divide(inverse(X0),inverse(X1)))) = X1,
inference(paramodulation,[status(thm)],[f7,f21]) ).
fof(f42,plain,
! [X0,X1] : multiply(X0,divide(inverse(X0),inverse(X1))) = X1,
inference(forward_demodulation,[status(thm)],[f19,f41]) ).
fof(f43,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[status(thm)],[f19,f42]) ).
fof(f45,plain,
! [X0,X1,X2,X3] : divide(X0,divide(X1,divide(inverse(X0),divide(divide(inverse(X1),X2),divide(inverse(inverse(X3)),X2))))) = X3,
inference(paramodulation,[status(thm)],[f21,f21]) ).
fof(f51,plain,
! [X0,X1,X2,X3] : divide(X0,divide(divide(inverse(X1),divide(divide(inverse(X2),X3),divide(inverse(inverse(X0)),X3))),X2)) = X1,
inference(paramodulation,[status(thm)],[f21,f21]) ).
fof(f62,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(paramodulation,[status(thm)],[f43,f43]) ).
fof(f80,plain,
! [X0,X1] : inverse(multiply(multiply(inverse(X0),X1),inverse(X1))) = X0,
inference(paramodulation,[status(thm)],[f19,f37]) ).
fof(f92,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(paramodulation,[status(thm)],[f62,f43]) ).
fof(f147,plain,
! [X0,X1] : inverse(multiply(multiply(X0,X1),inverse(X1))) = inverse(X0),
inference(paramodulation,[status(thm)],[f62,f80]) ).
fof(f148,plain,
! [X0,X1] : inverse(multiply(X0,inverse(multiply(X1,X0)))) = X1,
inference(paramodulation,[status(thm)],[f92,f80]) ).
fof(f149,plain,
! [X0,X1] : inverse(multiply(X0,inverse(multiply(inverse(inverse(X1)),X0)))) = X1,
inference(paramodulation,[status(thm)],[f43,f80]) ).
fof(f150,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f148,f149]) ).
fof(f151,plain,
! [X0,X1,X2] : inverse(multiply(multiply(X0,X1),inverse(X1))) = multiply(multiply(inverse(X0),X2),inverse(X2)),
inference(paramodulation,[status(thm)],[f80,f80]) ).
fof(f152,plain,
! [X0,X1] : inverse(X0) = multiply(multiply(inverse(X0),X1),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f147,f151]) ).
fof(f174,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(inverse(X1),X2),inverse(X2))) = divide(X0,X1),
inference(paramodulation,[status(thm)],[f80,f19]) ).
fof(f175,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,X1),
inference(forward_demodulation,[status(thm)],[f152,f174]) ).
fof(f194,plain,
! [X0,X1,X2,X3] : divide(X0,divide(divide(inverse(X1),divide(divide(inverse(X2),X3),divide(X0,X3))),X2)) = X1,
inference(backward_demodulation,[status(thm)],[f150,f51]) ).
fof(f195,plain,
! [X0,X1,X2,X3] : divide(X0,divide(X1,divide(inverse(X0),divide(divide(inverse(X1),X2),divide(X3,X2))))) = X3,
inference(backward_demodulation,[status(thm)],[f150,f45]) ).
fof(f208,plain,
! [X0,X1] : inverse(divide(X0,multiply(X1,X0))) = X1,
inference(backward_demodulation,[status(thm)],[f175,f148]) ).
fof(f271,plain,
! [X0,X1,X2,X3,X4] : divide(divide(inverse(X0),divide(divide(inverse(X1),X2),divide(divide(inverse(X3),X1),X2))),divide(divide(inverse(X4),X0),X3)) = X4,
inference(paramodulation,[status(thm)],[f194,f194]) ).
fof(f318,plain,
! [X0,X1] : inverse(inverse(multiply(X0,multiply(inverse(X1),X1)))) = X0,
inference(paramodulation,[status(thm)],[f25,f208]) ).
fof(f319,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X1),X1)) = X0,
inference(forward_demodulation,[status(thm)],[f150,f318]) ).
fof(f330,plain,
! [X0,X1] : inverse(X0) = divide(X1,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f208,f150]) ).
fof(f471,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f319,f92]) ).
fof(f476,plain,
! [X0,X1] : inverse(inverse(X0)) = divide(multiply(X0,X1),X1),
inference(paramodulation,[status(thm)],[f92,f330]) ).
fof(f477,plain,
! [X0,X1] : X0 = divide(multiply(X0,X1),X1),
inference(forward_demodulation,[status(thm)],[f150,f476]) ).
fof(f479,plain,
! [X0,X1] : inverse(X0) = divide(inverse(X1),divide(X0,X1)),
inference(paramodulation,[status(thm)],[f175,f330]) ).
fof(f494,plain,
! [X0,X1] : X0 = multiply(multiply(X0,inverse(X1)),X1),
inference(paramodulation,[status(thm)],[f19,f477]) ).
fof(f495,plain,
! [X0,X1] : X0 = multiply(divide(X0,X1),X1),
inference(forward_demodulation,[status(thm)],[f175,f494]) ).
fof(f524,plain,
! [X0,X1] : inverse(divide(X0,X1)) = divide(X1,X0),
inference(paramodulation,[status(thm)],[f495,f330]) ).
fof(f656,plain,
! [X0,X1,X2] : multiply(X0,divide(X1,X2)) = divide(X0,divide(X2,X1)),
inference(paramodulation,[status(thm)],[f524,f175]) ).
fof(f826,plain,
! [X0,X1,X2,X3] : divide(X0,divide(inverse(X1),divide(inverse(X0),divide(divide(X1,X2),divide(X3,X2))))) = X3,
inference(paramodulation,[status(thm)],[f150,f195]) ).
fof(f999,plain,
! [X0,X1,X2,X3] : divide(divide(inverse(X0),inverse(divide(divide(inverse(X1),X2),inverse(X2)))),divide(divide(inverse(X3),X0),X1)) = X3,
inference(paramodulation,[status(thm)],[f7,f271]) ).
fof(f1000,plain,
! [X0,X1,X2,X3] : divide(multiply(inverse(X0),divide(divide(inverse(X1),X2),inverse(X2))),divide(divide(inverse(X3),X0),X1)) = X3,
inference(forward_demodulation,[status(thm)],[f19,f999]) ).
fof(f1001,plain,
! [X0,X1,X2,X3] : divide(divide(inverse(X0),divide(inverse(X1),divide(inverse(X2),X1))),divide(divide(inverse(X3),X0),X2)) = X3,
inference(forward_demodulation,[status(thm)],[f656,f1000]) ).
fof(f1002,plain,
! [X0,X1,X2] : divide(divide(inverse(X0),inverse(inverse(X1))),divide(divide(inverse(X2),X0),X1)) = X2,
inference(forward_demodulation,[status(thm)],[f479,f1001]) ).
fof(f1003,plain,
! [X0,X1,X2] : divide(multiply(inverse(X0),inverse(X1)),divide(divide(inverse(X2),X0),X1)) = X2,
inference(forward_demodulation,[status(thm)],[f19,f1002]) ).
fof(f1004,plain,
! [X0,X1,X2] : divide(divide(inverse(X0),X1),divide(divide(inverse(X2),X0),X1)) = X2,
inference(forward_demodulation,[status(thm)],[f175,f1003]) ).
fof(f1194,plain,
! [X0,X1,X2,X3,X4] : divide(inverse(X0),divide(divide(inverse(X1),X2),divide(divide(inverse(X3),X1),X2))) = multiply(X4,divide(divide(inverse(X4),X0),X3)),
inference(paramodulation,[status(thm)],[f271,f495]) ).
fof(f1195,plain,
! [X0,X1,X2] : divide(inverse(X0),X1) = multiply(X2,divide(divide(inverse(X2),X0),X1)),
inference(forward_demodulation,[status(thm)],[f1004,f1194]) ).
fof(f1196,plain,
! [X0,X1,X2] : divide(inverse(X0),X1) = divide(X2,divide(X1,divide(inverse(X2),X0))),
inference(forward_demodulation,[status(thm)],[f656,f1195]) ).
fof(f1217,plain,
! [X0,X1,X2] : divide(inverse(divide(divide(X0,X1),divide(X2,X1))),inverse(X0)) = X2,
inference(backward_demodulation,[status(thm)],[f1196,f826]) ).
fof(f1218,plain,
! [X0,X1,X2] : multiply(inverse(divide(divide(X0,X1),divide(X2,X1))),X0) = X2,
inference(forward_demodulation,[status(thm)],[f19,f1217]) ).
fof(f1219,plain,
! [X0,X1,X2] : multiply(divide(divide(X0,X1),divide(X2,X1)),X2) = X0,
inference(forward_demodulation,[status(thm)],[f524,f1218]) ).
fof(f1468,plain,
! [X0,X1,X2] : multiply(divide(X0,divide(X1,X2)),X1) = multiply(X0,X2),
inference(paramodulation,[status(thm)],[f477,f1219]) ).
fof(f1972,plain,
! [X0,X1,X2] : multiply(divide(X0,inverse(X1)),X2) = multiply(X0,multiply(X1,X2)),
inference(paramodulation,[status(thm)],[f330,f1468]) ).
fof(f1973,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[status(thm)],[f19,f1972]) ).
fof(f2007,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(backward_demodulation,[status(thm)],[f1973,f17]) ).
fof(f2008,plain,
( $false
| spl0_2 ),
inference(trivial_equality_resolution,[status(esa)],[f2007]) ).
fof(f2009,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f2008]) ).
fof(f2024,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f11,f471]) ).
fof(f2025,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f2024]) ).
fof(f2026,plain,
( multiply(inverse(b2),multiply(b2,a2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f1973,f14]) ).
fof(f2027,plain,
( a2 != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f92,f2026]) ).
fof(f2028,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f2027]) ).
fof(f2029,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f2028]) ).
fof(f2030,plain,
$false,
inference(sat_refutation,[status(thm)],[f18,f2009,f2025,f2029]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP063-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n006.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 11:23:47 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Drodi V3.5.1
% 0.15/0.42 % Refutation found
% 0.15/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.44 % Elapsed time: 0.137281 seconds
% 0.15/0.44 % CPU time: 0.587888 seconds
% 0.15/0.44 % Memory used: 47.822 MB
%------------------------------------------------------------------------------