TSTP Solution File: GRP050-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP050-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 20:18:55 EDT 2024
% Result : Unsatisfiable 42.10s 5.68s
% Output : CNFRefutation 42.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 5
% Syntax : Number of formulae : 54 ( 39 unt; 0 def)
% Number of atoms : 72 ( 50 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 15 ~; 15 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 14 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 107 ( 107 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [Z,Y,X] : multiply(Z,inverse(multiply(inverse(multiply(inverse(multiply(Z,Y)),X)),multiply(inverse(Y),multiply(inverse(Y),Y))))) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,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/sandbox/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(X1),multiply(inverse(X1),X1))))) = X2,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f4,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)],[f2]) ).
fof(f5,plain,
( spl0_0
<=> multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(split_symbol_definition) ).
fof(f7,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| spl0_0 ),
inference(component_clause,[status(thm)],[f5]) ).
fof(f8,plain,
( spl0_1
<=> multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(split_symbol_definition) ).
fof(f10,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| spl0_1 ),
inference(component_clause,[status(thm)],[f8]) ).
fof(f11,plain,
( spl0_2
<=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(split_symbol_definition) ).
fof(f13,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(component_clause,[status(thm)],[f11]) ).
fof(f14,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f4,f5,f8,f11]) ).
fof(f15,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),multiply(inverse(X2),X2))))) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),X1)),multiply(inverse(X3),multiply(inverse(X3),X3)))),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f17,plain,
! [X0,X1,X2,X3] : X0 = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(multiply(X1,X2)),X0))),multiply(inverse(X3),multiply(inverse(X3),X3)))),
inference(paramodulation,[status(thm)],[f3,f15]) ).
fof(f19,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(inverse(X3),multiply(inverse(X3),X3)))))) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X4)),X5)),multiply(inverse(multiply(inverse(multiply(X1,X3)),X4)),X2))),multiply(inverse(X5),multiply(inverse(X5),X5)))),
inference(paramodulation,[status(thm)],[f15,f15]) ).
fof(f40,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(X2),multiply(inverse(X1),multiply(inverse(X1),X1)))))) = X2,
inference(paramodulation,[status(thm)],[f15,f3]) ).
fof(f65,plain,
! [X0,X1,X2,X3,X4,X5] : X0 = inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),X5)),multiply(inverse(multiply(X3,X4)),X1))),multiply(inverse(X5),multiply(inverse(X5),X5)))),X0))),multiply(inverse(X2),multiply(inverse(X2),X2)))),
inference(paramodulation,[status(thm)],[f17,f17]) ).
fof(f66,plain,
! [X0,X1,X2] : X0 = inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X0))),multiply(inverse(X2),multiply(inverse(X2),X2)))),
inference(forward_demodulation,[status(thm)],[f17,f65]) ).
fof(f325,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(X3,X1)),multiply(X3,X2)),
inference(paramodulation,[status(thm)],[f66,f40]) ).
fof(f399,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X0))),X3)) = multiply(inverse(multiply(X4,multiply(inverse(X2),multiply(inverse(X2),X2)))),multiply(X4,X3)),
inference(paramodulation,[status(thm)],[f66,f325]) ).
fof(f447,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,multiply(inverse(X1),X1)))))) = multiply(inverse(X1),X3),
inference(paramodulation,[status(thm)],[f325,f40]) ).
fof(f3839,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(X0,multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3))))),multiply(X0,inverse(multiply(inverse(multiply(X4,multiply(inverse(X2),multiply(inverse(X2),X2)))),multiply(X4,multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3)))),multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3))))))))) = X3,
inference(paramodulation,[status(thm)],[f399,f40]) ).
fof(f3840,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(X2)))),multiply(inverse(X1),multiply(inverse(X1),X1))) = X2,
inference(forward_demodulation,[status(thm)],[f447,f3839]) ).
fof(f4146,plain,
! [X0,X1,X2] : multiply(inverse(X0),X0) = multiply(inverse(multiply(X1,multiply(inverse(X2),multiply(inverse(X2),X2)))),multiply(X1,multiply(inverse(X2),multiply(inverse(X2),X2)))),
inference(paramodulation,[status(thm)],[f3840,f399]) ).
fof(f4300,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f4146,f4146]) ).
fof(f4797,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(X2),multiply(inverse(X1),multiply(inverse(X1),X1)))))) = inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X2),multiply(inverse(X2),X2)))),
inference(paramodulation,[status(thm)],[f4300,f19]) ).
fof(f4798,plain,
! [X0,X1] : X0 = inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X0),multiply(inverse(X0),X0)))),
inference(forward_demodulation,[status(thm)],[f40,f4797]) ).
fof(f6250,plain,
! [X0,X1] : X0 = inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,multiply(inverse(X0),X0)))),
inference(paramodulation,[status(thm)],[f325,f4798]) ).
fof(f6804,plain,
! [X0,X1,X2] : X0 = inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,multiply(inverse(X2),X2)))),
inference(paramodulation,[status(thm)],[f4300,f6250]) ).
fof(f7232,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(X1),X2),
inference(backward_demodulation,[status(thm)],[f6804,f447]) ).
fof(f10482,plain,
! [X0,X1] : X0 = inverse(multiply(inverse(X0),multiply(inverse(X1),X1))),
inference(backward_demodulation,[status(thm)],[f7232,f6804]) ).
fof(f11015,plain,
! [X0,X1,X2] : multiply(inverse(X0),inverse(multiply(inverse(multiply(X0,X1)),multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))))) = X1,
inference(paramodulation,[status(thm)],[f10482,f3]) ).
fof(f11016,plain,
! [X0,X1,X2] : multiply(inverse(X0),inverse(multiply(inverse(multiply(X0,X1)),multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2))))) = X1,
inference(forward_demodulation,[status(thm)],[f7232,f11015]) ).
fof(f11017,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f10482,f11016]) ).
fof(f11327,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(paramodulation,[status(thm)],[f11017,f11017]) ).
fof(f11483,plain,
! [X0,X1] : X0 = multiply(X1,multiply(inverse(X1),X0)),
inference(paramodulation,[status(thm)],[f11017,f11327]) ).
fof(f11707,plain,
! [X0,X1] : X0 = multiply(X0,multiply(inverse(X1),X1)),
inference(paramodulation,[status(thm)],[f4300,f11483]) ).
fof(f11815,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f11483,f10482]) ).
fof(f12044,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,X1)),X0) = multiply(inverse(X1),multiply(inverse(X2),X2)),
inference(paramodulation,[status(thm)],[f11707,f7232]) ).
fof(f12045,plain,
! [X0,X1] : multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f11707,f12044]) ).
fof(f12593,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),inverse(multiply(X1,X0))) = inverse(X1),
inference(paramodulation,[status(thm)],[f12045,f12045]) ).
fof(f12594,plain,
! [X0,X1] : multiply(X0,inverse(multiply(X1,X0))) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f11815,f12593]) ).
fof(f15361,plain,
! [X0,X1,X2] : multiply(inverse(inverse(X0)),multiply(X1,X2)) = multiply(inverse(inverse(multiply(X0,X1))),X2),
inference(paramodulation,[status(thm)],[f12594,f7232]) ).
fof(f15362,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(inverse(inverse(multiply(X0,X1))),X2),
inference(forward_demodulation,[status(thm)],[f11815,f15361]) ).
fof(f15363,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f11815,f15362]) ).
fof(f30871,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(backward_demodulation,[status(thm)],[f15363,f13]) ).
fof(f30872,plain,
( $false
| spl0_2 ),
inference(trivial_equality_resolution,[status(esa)],[f30871]) ).
fof(f30873,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f30872]) ).
fof(f30959,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f7,f4300]) ).
fof(f30960,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f30959]) ).
fof(f30961,plain,
( multiply(inverse(b2),multiply(b2,a2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f15363,f10]) ).
fof(f30962,plain,
( a2 != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f11017,f30961]) ).
fof(f30963,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f30962]) ).
fof(f30964,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f30963]) ).
fof(f30965,plain,
$false,
inference(sat_refutation,[status(thm)],[f14,f30873,f30960,f30964]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP050-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 00:24:41 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 42.10/5.68 % Refutation found
% 42.10/5.68 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 42.10/5.68 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 43.19/5.86 % Elapsed time: 5.493662 seconds
% 43.19/5.86 % CPU time: 42.978945 seconds
% 43.19/5.86 % Total memory used: 798.355 MB
% 43.19/5.86 % Net memory used: 796.298 MB
%------------------------------------------------------------------------------