TSTP Solution File: GRP416-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP416-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 20:20:24 EDT 2024
% Result : Unsatisfiable 67.03s 8.81s
% Output : CNFRefutation 67.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 2
% Syntax : Number of formulae : 47 ( 47 unt; 0 def)
% Number of atoms : 47 ( 46 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 16 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 132 ( 132 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,inverse(C)))),inverse(multiply(inverse(A),A)))))) = C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1,X2] : inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0)))))) = X2,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f4,plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f6,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X2))),inverse(multiply(inverse(X0),X0)))))) = multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(X2)))),inverse(multiply(inverse(X3),X3))))),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f8,plain,
! [X0,X1,X2] : X0 = multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(X0))))),inverse(multiply(inverse(X1),X1))))),
inference(paramodulation,[status(thm)],[f3,f6]) ).
fof(f30,plain,
! [X0,X1,X2] : inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X2))),inverse(multiply(inverse(X0),X0))))))) = X2,
inference(paramodulation,[status(thm)],[f6,f3]) ).
fof(f66,plain,
! [X0,X1,X2,X3] : inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),X2)),inverse(multiply(inverse(X0),X0)))))) = multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,inverse(inverse(X2))))),inverse(multiply(inverse(X1),X1))),
inference(paramodulation,[status(thm)],[f8,f3]) ).
fof(f207,plain,
! [X0,X1,X2] : X0 = multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(X0))))))),inverse(multiply(inverse(X2),X2))),
inference(paramodulation,[status(thm)],[f3,f66]) ).
fof(f257,plain,
! [X0,X1,X2] : inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,X2)))))),inverse(multiply(inverse(X1),X1)))) = X2,
inference(paramodulation,[status(thm)],[f66,f30]) ).
fof(f282,plain,
! [X0,X1,X2] : X0 = multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X0)),inverse(multiply(inverse(X2),X2)))))))),
inference(paramodulation,[status(thm)],[f66,f8]) ).
fof(f318,plain,
! [X0,X1,X2,X3] : inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X0)),X3)),inverse(multiply(inverse(X0),X0))))))) = multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(inverse(X2),X2)))))))),
inference(paramodulation,[status(thm)],[f282,f282]) ).
fof(f430,plain,
! [X0,X1,X2,X3] : inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(X3))))))),X0)),X3)),inverse(multiply(inverse(X0),X0)))))) = multiply(inverse(X2),X2),
inference(paramodulation,[status(thm)],[f207,f3]) ).
fof(f3147,plain,
! [X0,X1] : inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))) = multiply(inverse(X0),X0),
inference(paramodulation,[status(thm)],[f257,f430]) ).
fof(f9463,plain,
! [X0,X1,X2] : X0 = multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(X0),inverse(multiply(inverse(X2),X2))))))))),
inference(paramodulation,[status(thm)],[f318,f282]) ).
fof(f9846,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)],[f30,f9463]) ).
fof(f9853,plain,
! [X0,X1,X2] : multiply(inverse(X0),X0) = multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,inverse(multiply(inverse(X2),X2)))),
inference(paramodulation,[status(thm)],[f3147,f9463]) ).
fof(f13076,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f9853,f9853]) ).
fof(f13816,plain,
! [X0,X1,X2,X3] : inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X0),X0))))))) = multiply(X2,inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),X0)),inverse(multiply(inverse(X3),X3)))))))),
inference(paramodulation,[status(thm)],[f13076,f318]) ).
fof(f13817,plain,
! [X0,X1] : inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X0),X0))))))) = X0,
inference(forward_demodulation,[status(thm)],[f282,f13816]) ).
fof(f13850,plain,
! [X0,X1] : inverse(multiply(inverse(X0),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(X0)),inverse(X0))))))) = X0,
inference(paramodulation,[status(thm)],[f13076,f3]) ).
fof(f13885,plain,
! [X0] : multiply(multiply(inverse(X0),X0),a2) != a2,
inference(paramodulation,[status(thm)],[f13076,f4]) ).
fof(f14023,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(inverse(X2),X1)),multiply(inverse(X3),X3)),
inference(paramodulation,[status(thm)],[f13076,f9846]) ).
fof(f14024,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X1),X2)),
inference(paramodulation,[status(thm)],[f13076,f9846]) ).
fof(f14523,plain,
! [X0,X1,X2] : inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2))))))) = X0,
inference(paramodulation,[status(thm)],[f13076,f13817]) ).
fof(f14778,plain,
! [X0,X1,X2] : multiply(inverse(X0),X0) = multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X2),X2)),
inference(paramodulation,[status(thm)],[f13076,f14024]) ).
fof(f15034,plain,
! [X0,X1] : multiply(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),X1)),a2) != a2,
inference(paramodulation,[status(thm)],[f14024,f13885]) ).
fof(f15534,plain,
! [X0,X1,X2] : multiply(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X2),X2))),a2) != a2,
inference(paramodulation,[status(thm)],[f14024,f15034]) ).
fof(f25801,plain,
! [X0,X1,X2] : inverse(multiply(inverse(X0),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2)))))) = X0,
inference(paramodulation,[status(thm)],[f13076,f13850]) ).
fof(f26504,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(X0),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X3),X3)))))))) = X0,
inference(paramodulation,[status(thm)],[f25801,f25801]) ).
fof(f26505,plain,
! [X0,X1] : inverse(multiply(inverse(X0),multiply(inverse(X1),X1))) = X0,
inference(forward_demodulation,[status(thm)],[f25801,f26504]) ).
fof(f26589,plain,
! [X0,X1,X2,X3] : inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X3),X3))))))))) = X0,
inference(paramodulation,[status(thm)],[f25801,f14523]) ).
fof(f26590,plain,
! [X0,X1] : inverse(inverse(multiply(X0,multiply(inverse(X1),X1)))) = X0,
inference(forward_demodulation,[status(thm)],[f25801,f26589]) ).
fof(f26997,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(inverse(X0),X1)) = multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X3),X3)))))),multiply(inverse(X4),X4)),
inference(paramodulation,[status(thm)],[f25801,f14023]) ).
fof(f26998,plain,
! [X0,X1,X2] : multiply(X0,multiply(inverse(X0),X1)) = multiply(X1,multiply(inverse(X2),X2)),
inference(forward_demodulation,[status(thm)],[f25801,f26997]) ).
fof(f28004,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X0)) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f14778,f26505]) ).
fof(f29152,plain,
! [X0,X1,X2] : multiply(inverse(X0),X0) = multiply(X1,multiply(inverse(X1),multiply(inverse(X2),X2))),
inference(paramodulation,[status(thm)],[f26505,f13076]) ).
fof(f29426,plain,
! [X0,X1,X2] : multiply(X0,multiply(inverse(X0),X1)) = multiply(X2,multiply(inverse(X2),X1)),
inference(paramodulation,[status(thm)],[f26998,f26998]) ).
fof(f30164,plain,
! [X0,X1] : inverse(inverse(multiply(X0,multiply(inverse(X0),X1)))) = X1,
inference(paramodulation,[status(thm)],[f26998,f26590]) ).
fof(f31912,plain,
! [X0,X1,X2,X3] : X0 = multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(X0),multiply(inverse(X3),X3)))))))),
inference(paramodulation,[status(thm)],[f28004,f9463]) ).
fof(f31913,plain,
! [X0,X1,X2] : X0 = multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,X0))))),
inference(forward_demodulation,[status(thm)],[f26505,f31912]) ).
fof(f43070,plain,
! [X0,X1,X2] : inverse(inverse(multiply(X0,multiply(inverse(X1),X1)))) = multiply(inverse(inverse(X0)),multiply(inverse(X2),X2)),
inference(paramodulation,[status(thm)],[f29152,f30164]) ).
fof(f43071,plain,
! [X0,X1] : X0 = multiply(inverse(inverse(X0)),multiply(inverse(X1),X1)),
inference(forward_demodulation,[status(thm)],[f26590,f43070]) ).
fof(f43128,plain,
! [X0,X1] : X0 = multiply(X1,multiply(inverse(X1),inverse(inverse(X0)))),
inference(paramodulation,[status(thm)],[f29426,f43071]) ).
fof(f47474,plain,
! [X0,X1,X2] : X0 = multiply(X1,multiply(inverse(X1),inverse(inverse(multiply(multiply(inverse(X2),X2),X0))))),
inference(paramodulation,[status(thm)],[f26505,f31913]) ).
fof(f47475,plain,
! [X0,X1] : X0 = multiply(multiply(inverse(X1),X1),X0),
inference(forward_demodulation,[status(thm)],[f43128,f47474]) ).
fof(f47755,plain,
$false,
inference(resolution,[status(thm)],[f47475,f15534]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP416-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 30 00:40:18 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.6.0
% 67.03/8.81 % Refutation found
% 67.03/8.81 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 67.03/8.81 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 68.39/9.04 % Elapsed time: 8.683958 seconds
% 68.39/9.04 % CPU time: 68.000436 seconds
% 68.39/9.04 % Total memory used: 2.123 GB
% 68.39/9.04 % Net memory used: 2.102 GB
%------------------------------------------------------------------------------