TSTP Solution File: GRP418-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP418-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 3.06s 0.79s
% Output : CNFRefutation 3.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 2
% Syntax : Number of formulae : 30 ( 30 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 17 ( 4 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 : 91 ( 91 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),multiply(A,C))) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1,X2] : inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X0,X2))) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f4,plain,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f5,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X0,X2))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X3,X4)),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f7,plain,
! [X0,X1,X2] : inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X0,X2))) = multiply(inverse(multiply(a1,inverse(multiply(inverse(X1),inverse(multiply(a1,inverse(multiply(inverse(a1),a1)))))))),multiply(a1,a1)),
inference(equality_split,[status(esa)],[f5]) ).
fof(f9,plain,
! [X0] : X0 = multiply(inverse(multiply(a1,inverse(multiply(inverse(inverse(X0)),inverse(multiply(a1,inverse(multiply(inverse(a1),a1)))))))),multiply(a1,a1)),
inference(paramodulation,[status(thm)],[f3,f7]) ).
fof(f18,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(inverse(multiply(X0,inverse(multiply(multiply(inverse(multiply(a1,inverse(multiply(inverse(X1),inverse(multiply(a1,inverse(multiply(inverse(a1),a1)))))))),multiply(a1,a1)),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X0,X2))) = multiply(inverse(multiply(X3,inverse(multiply(X1,inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X3,X4)),
inference(paramodulation,[status(thm)],[f7,f3]) ).
fof(f19,plain,
! [X0,X1,X2] : multiply(inverse(multiply(a1,inverse(multiply(inverse(multiply(inverse(multiply(a1,inverse(multiply(inverse(X0),inverse(multiply(a1,inverse(multiply(inverse(a1),a1)))))))),multiply(a1,a1))),inverse(multiply(a1,inverse(multiply(inverse(a1),a1)))))))),multiply(a1,a1)) = multiply(inverse(multiply(X1,inverse(multiply(X0,inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X1,X2)),
inference(forward_demodulation,[status(thm)],[f7,f18]) ).
fof(f20,plain,
! [X0,X1,X2] : multiply(inverse(multiply(a1,inverse(multiply(X0,inverse(multiply(a1,inverse(multiply(inverse(a1),a1)))))))),multiply(a1,a1)) = multiply(inverse(multiply(X1,inverse(multiply(X0,inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X1,X2)),
inference(forward_demodulation,[status(thm)],[f3,f19]) ).
fof(f28,plain,
! [X0,X1,X2] : X0 = multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X0)),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(X1,X2)),
inference(paramodulation,[status(thm)],[f9,f20]) ).
fof(f59,plain,
! [X0,X1,X2,X3] : X0 = multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X2)),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),inverse(multiply(inverse(inverse(X0)),inverse(multiply(multiply(X1,X3),inverse(multiply(inverse(multiply(X1,X3)),multiply(X1,X3))))))))),X2),
inference(paramodulation,[status(thm)],[f28,f28]) ).
fof(f118,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),inverse(multiply(inverse(inverse(X1)),inverse(multiply(multiply(X3,X4),inverse(multiply(inverse(multiply(X3,X4)),multiply(X3,X4)))))))),
inference(paramodulation,[status(thm)],[f59,f3]) ).
fof(f130,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(inverse(multiply(X1,inverse(multiply(inverse(X1),X1)))))),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(inverse(inverse(X3)),inverse(multiply(multiply(X0,X2),inverse(multiply(inverse(multiply(X0,X2)),multiply(X0,X2)))))))) = inverse(multiply(inverse(multiply(a1,inverse(X3))),multiply(a1,X1))),
inference(equality_split,[status(esa)],[f118]) ).
fof(f183,plain,
! [X0,X1,X2,X3] : X0 = multiply(inverse(inverse(multiply(inverse(multiply(a1,inverse(X0))),multiply(a1,X1)))),multiply(inverse(multiply(X2,inverse(multiply(inverse(inverse(inverse(multiply(X1,inverse(multiply(inverse(X1),X1)))))),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X2,X3))),
inference(paramodulation,[status(thm)],[f130,f28]) ).
fof(f184,plain,
! [X0,X1] : X0 = multiply(inverse(inverse(multiply(inverse(multiply(a1,inverse(X0))),multiply(a1,X1)))),inverse(multiply(X1,inverse(multiply(inverse(X1),X1))))),
inference(forward_demodulation,[status(thm)],[f28,f183]) ).
fof(f207,plain,
! [X0,X1,X2] : multiply(inverse(multiply(a1,inverse(X0))),multiply(a1,X1)) = multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,X1)),
inference(paramodulation,[status(thm)],[f184,f28]) ).
fof(f217,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(a1,X0)),multiply(a1,X1)) = multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(X0),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X3,X4))))),multiply(X2,X1)),
inference(paramodulation,[status(thm)],[f3,f207]) ).
fof(f218,plain,
! [X0,X1,X2] : multiply(inverse(multiply(a1,X0)),multiply(a1,X1)) = multiply(inverse(multiply(X2,X0)),multiply(X2,X1)),
inference(forward_demodulation,[status(thm)],[f3,f217]) ).
fof(f456,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(a1,multiply(X0,X1))),multiply(a1,X2)) = multiply(X3,multiply(inverse(multiply(X0,inverse(multiply(inverse(X3),inverse(multiply(X1,inverse(multiply(inverse(X1),X1)))))))),X2)),
inference(paramodulation,[status(thm)],[f3,f218]) ).
fof(f466,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(a1,multiply(X0,X1))),multiply(a1,X2)) = multiply(inverse(multiply(inverse(multiply(a1,X3)),multiply(a1,X1))),multiply(inverse(multiply(X0,X3)),X2)),
inference(paramodulation,[status(thm)],[f218,f218]) ).
fof(f469,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(a1,X0)),multiply(a1,multiply(X1,X2))) = multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X3)),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),X0)),X3),
inference(paramodulation,[status(thm)],[f28,f218]) ).
fof(f633,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(a1,multiply(X0,X1))),multiply(a1,multiply(X0,X2))) = multiply(inverse(multiply(inverse(multiply(a1,inverse(multiply(inverse(inverse(X3)),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))))),multiply(a1,X1))),X3),
inference(paramodulation,[status(thm)],[f28,f466]) ).
fof(f634,plain,
! [X0,X1,X2] : multiply(inverse(multiply(a1,multiply(X0,X1))),multiply(a1,multiply(X0,X2))) = multiply(inverse(multiply(a1,multiply(a1,X1))),multiply(a1,multiply(a1,X2))),
inference(forward_demodulation,[status(thm)],[f469,f633]) ).
fof(f667,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(a1,multiply(X0,X1))),multiply(a1,multiply(X0,X2))) = multiply(inverse(multiply(a1,multiply(X3,X1))),multiply(a1,multiply(X3,X2))),
inference(paramodulation,[status(thm)],[f634,f634]) ).
fof(f699,plain,
! [X0,X1,X2] : multiply(inverse(multiply(a1,multiply(X0,X1))),multiply(a1,multiply(X0,X2))) = multiply(inverse(multiply(a1,multiply(a1,X1))),multiply(a1,multiply(a1,X2))),
inference(equality_split,[status(esa)],[f667]) ).
fof(f903,plain,
! [X0,X1,X2] : multiply(inverse(multiply(a1,multiply(X0,X1))),multiply(a1,multiply(X0,X1))) = multiply(inverse(X2),X2),
inference(paramodulation,[status(thm)],[f28,f456]) ).
fof(f904,plain,
! [X0,X1] : multiply(inverse(multiply(a1,multiply(a1,X0))),multiply(a1,multiply(a1,X0))) = multiply(inverse(X1),X1),
inference(forward_demodulation,[status(thm)],[f699,f903]) ).
fof(f958,plain,
! [X0] : multiply(inverse(X0),X0) = multiply(inverse(a1),a1),
inference(equality_split,[status(esa)],[f904]) ).
fof(f959,plain,
$false,
inference(resolution,[status(thm)],[f958,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP418-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n014.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Apr 30 00:24:34 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % Drodi V3.6.0
% 3.06/0.79 % Refutation found
% 3.06/0.79 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.06/0.79 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.06/0.82 % Elapsed time: 0.485724 seconds
% 3.06/0.82 % CPU time: 3.645748 seconds
% 3.06/0.82 % Total memory used: 172.731 MB
% 3.06/0.82 % Net memory used: 170.149 MB
%------------------------------------------------------------------------------