TSTP Solution File: GRP063-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n011.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 20:19:07 EDT 2024
% Result : Unsatisfiable 0.17s 0.46s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 7
% Syntax : Number of formulae : 86 ( 71 unt; 0 def)
% Number of atoms : 104 ( 82 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 : 174 ( 174 !; 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(f23,plain,
! [X0,X1] : multiply(divide(X0,X0),X1) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f7,f19]) ).
fof(f25,plain,
! [X0,X1] : inverse(X0) = divide(multiply(inverse(X1),X1),X0),
inference(paramodulation,[status(thm)],[f19,f7]) ).
fof(f26,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(inverse(divide(X1,X1)),X0),
inference(paramodulation,[status(thm)],[f19,f22]) ).
fof(f29,plain,
! [X0,X1] : inverse(X0) = divide(inverse(multiply(inverse(X1),X1)),X0),
inference(paramodulation,[status(thm)],[f19,f22]) ).
fof(f40,plain,
! [X0,X1,X2] : inverse(divide(divide(inverse(X0),X1),divide(inverse(multiply(inverse(X2),X2)),X1))) = X0,
inference(paramodulation,[status(thm)],[f25,f21]) ).
fof(f41,plain,
! [X0,X1] : inverse(divide(divide(inverse(X0),X1),inverse(X1))) = X0,
inference(forward_demodulation,[status(thm)],[f29,f40]) ).
fof(f42,plain,
! [X0,X1] : inverse(multiply(divide(inverse(X0),X1),X1)) = X0,
inference(forward_demodulation,[status(thm)],[f19,f41]) ).
fof(f49,plain,
! [X0,X1] : divide(X0,inverse(divide(inverse(X0),inverse(X1)))) = X1,
inference(paramodulation,[status(thm)],[f7,f21]) ).
fof(f50,plain,
! [X0,X1] : multiply(X0,divide(inverse(X0),inverse(X1))) = X1,
inference(forward_demodulation,[status(thm)],[f19,f49]) ).
fof(f51,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[status(thm)],[f19,f50]) ).
fof(f53,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(f59,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(f71,plain,
! [X0,X1] : inverse(inverse(multiply(inverse(divide(X0,X0)),X1))) = X1,
inference(paramodulation,[status(thm)],[f23,f51]) ).
fof(f72,plain,
! [X0] : inverse(inverse(inverse(inverse(X0)))) = X0,
inference(forward_demodulation,[status(thm)],[f26,f71]) ).
fof(f73,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(paramodulation,[status(thm)],[f51,f51]) ).
fof(f77,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
inference(paramodulation,[status(thm)],[f72,f51]) ).
fof(f78,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f73,f77]) ).
fof(f92,plain,
! [X0,X1] : inverse(multiply(multiply(inverse(X0),X1),inverse(X1))) = X0,
inference(paramodulation,[status(thm)],[f19,f42]) ).
fof(f151,plain,
! [X0,X1] : inverse(multiply(multiply(X0,X1),inverse(X1))) = inverse(X0),
inference(paramodulation,[status(thm)],[f73,f92]) ).
fof(f152,plain,
! [X0,X1] : inverse(multiply(X0,inverse(multiply(X1,X0)))) = X1,
inference(paramodulation,[status(thm)],[f78,f92]) ).
fof(f153,plain,
! [X0,X1] : inverse(multiply(X0,inverse(multiply(inverse(inverse(X1)),X0)))) = X1,
inference(paramodulation,[status(thm)],[f51,f92]) ).
fof(f154,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f152,f153]) ).
fof(f155,plain,
! [X0,X1,X2] : inverse(multiply(multiply(X0,X1),inverse(X1))) = multiply(multiply(inverse(X0),X2),inverse(X2)),
inference(paramodulation,[status(thm)],[f92,f92]) ).
fof(f156,plain,
! [X0,X1] : inverse(X0) = multiply(multiply(inverse(X0),X1),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f151,f155]) ).
fof(f179,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(inverse(X1),X2),inverse(X2))) = divide(X0,X1),
inference(paramodulation,[status(thm)],[f92,f19]) ).
fof(f180,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,X1),
inference(forward_demodulation,[status(thm)],[f156,f179]) ).
fof(f204,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)],[f154,f59]) ).
fof(f205,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)],[f154,f53]) ).
fof(f215,plain,
! [X0,X1] : inverse(divide(X0,multiply(X1,X0))) = X1,
inference(backward_demodulation,[status(thm)],[f180,f152]) ).
fof(f267,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)],[f204,f204]) ).
fof(f310,plain,
! [X0,X1] : inverse(inverse(multiply(X0,multiply(inverse(X1),X1)))) = X0,
inference(paramodulation,[status(thm)],[f25,f215]) ).
fof(f311,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X1),X1)) = X0,
inference(forward_demodulation,[status(thm)],[f154,f310]) ).
fof(f325,plain,
! [X0,X1] : inverse(X0) = divide(X1,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f215,f154]) ).
fof(f441,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f311,f78]) ).
fof(f473,plain,
! [X0,X1] : inverse(inverse(X0)) = divide(multiply(X0,X1),X1),
inference(paramodulation,[status(thm)],[f78,f325]) ).
fof(f474,plain,
! [X0,X1] : X0 = divide(multiply(X0,X1),X1),
inference(forward_demodulation,[status(thm)],[f154,f473]) ).
fof(f476,plain,
! [X0,X1] : inverse(X0) = divide(inverse(X1),divide(X0,X1)),
inference(paramodulation,[status(thm)],[f180,f325]) ).
fof(f495,plain,
! [X0,X1] : X0 = multiply(multiply(X0,inverse(X1)),X1),
inference(paramodulation,[status(thm)],[f19,f474]) ).
fof(f496,plain,
! [X0,X1] : X0 = multiply(divide(X0,X1),X1),
inference(forward_demodulation,[status(thm)],[f180,f495]) ).
fof(f530,plain,
! [X0,X1] : inverse(divide(X0,X1)) = divide(X1,X0),
inference(paramodulation,[status(thm)],[f496,f325]) ).
fof(f641,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = divide(inverse(X1),X0),
inference(paramodulation,[status(thm)],[f19,f530]) ).
fof(f652,plain,
! [X0,X1,X2] : multiply(X0,divide(X1,X2)) = divide(X0,divide(X2,X1)),
inference(paramodulation,[status(thm)],[f530,f180]) ).
fof(f834,plain,
! [X0,X1,X2,X3] : divide(X0,divide(X1,divide(inverse(X0),divide(divide(inverse(X1),X2),X3)))) = multiply(X3,X2),
inference(paramodulation,[status(thm)],[f474,f205]) ).
fof(f1001,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,f267]) ).
fof(f1002,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,f1001]) ).
fof(f1003,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)],[f652,f1002]) ).
fof(f1004,plain,
! [X0,X1,X2] : divide(divide(inverse(X0),inverse(inverse(X1))),divide(divide(inverse(X2),X0),X1)) = X2,
inference(forward_demodulation,[status(thm)],[f476,f1003]) ).
fof(f1005,plain,
! [X0,X1,X2] : divide(multiply(inverse(X0),inverse(X1)),divide(divide(inverse(X2),X0),X1)) = X2,
inference(forward_demodulation,[status(thm)],[f19,f1004]) ).
fof(f1006,plain,
! [X0,X1,X2] : divide(divide(inverse(X0),X1),divide(divide(inverse(X2),X0),X1)) = X2,
inference(forward_demodulation,[status(thm)],[f180,f1005]) ).
fof(f1196,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)],[f267,f496]) ).
fof(f1197,plain,
! [X0,X1,X2] : divide(inverse(X0),X1) = multiply(X2,divide(divide(inverse(X2),X0),X1)),
inference(forward_demodulation,[status(thm)],[f1006,f1196]) ).
fof(f1198,plain,
! [X0,X1,X2] : divide(inverse(X0),X1) = divide(X2,divide(X1,divide(inverse(X2),X0))),
inference(forward_demodulation,[status(thm)],[f652,f1197]) ).
fof(f1227,plain,
! [X0,X1,X2] : divide(inverse(divide(divide(inverse(X0),X1),X2)),X0) = multiply(X2,X1),
inference(backward_demodulation,[status(thm)],[f1198,f834]) ).
fof(f1228,plain,
! [X0,X1,X2] : divide(divide(X0,divide(inverse(X1),X2)),X1) = multiply(X0,X2),
inference(forward_demodulation,[status(thm)],[f530,f1227]) ).
fof(f1279,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = divide(X0,divide(inverse(X2),X1)),
inference(paramodulation,[status(thm)],[f641,f19]) ).
fof(f1283,plain,
! [X0,X1,X2] : divide(multiply(X0,multiply(X1,X2)),X2) = multiply(X0,X1),
inference(backward_demodulation,[status(thm)],[f1279,f1228]) ).
fof(f1491,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(paramodulation,[status(thm)],[f1283,f496]) ).
fof(f1535,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(backward_demodulation,[status(thm)],[f1491,f17]) ).
fof(f1536,plain,
( $false
| spl0_2 ),
inference(trivial_equality_resolution,[status(esa)],[f1535]) ).
fof(f1537,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f1536]) ).
fof(f1543,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f11,f441]) ).
fof(f1544,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f1543]) ).
fof(f1545,plain,
( multiply(inverse(b2),multiply(b2,a2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f1491,f14]) ).
fof(f1546,plain,
( a2 != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f78,f1545]) ).
fof(f1547,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f1546]) ).
fof(f1548,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f1547]) ).
fof(f1549,plain,
$false,
inference(sat_refutation,[status(thm)],[f18,f1537,f1544,f1548]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.14 % Problem : GRP063-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.10/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.35 % Computer : n011.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8042.1875MB
% 0.11/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Tue Apr 30 00:20:46 EDT 2024
% 0.17/0.35 % CPUTime :
% 0.17/0.36 % Drodi V3.6.0
% 0.17/0.46 % Refutation found
% 0.17/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.48 % Elapsed time: 0.112447 seconds
% 0.17/0.48 % CPU time: 0.778628 seconds
% 0.17/0.48 % Total memory used: 55.473 MB
% 0.17/0.48 % Net memory used: 54.250 MB
%------------------------------------------------------------------------------