TSTP Solution File: GRP421-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP421-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 12:11:37 EDT 2023
% Result : Unsatisfiable 27.43s 3.85s
% Output : CNFRefutation 27.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 14 unt; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 11 ( 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 : 42 (; 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(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),multiply(inverse(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] : inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))) = multiply(inverse(X2),inverse(multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))))))),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f6,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X0,X2))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),multiply(inverse(X4),inverse(multiply(inverse(X4),X4))))))),multiply(X3,X4)),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f15,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))) = inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),
inference(paramodulation,[status(thm)],[f5,f5]) ).
fof(f85,plain,
! [X0,X1,X2,X3,X4,X5] : inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))),multiply(inverse(X4),inverse(multiply(inverse(X4),X4))))))),multiply(X0,X4))) = multiply(inverse(multiply(X5,X2)),multiply(X5,X3)),
inference(paramodulation,[status(thm)],[f15,f3]) ).
fof(f86,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(X3,X1)),multiply(X3,X2)),
inference(forward_demodulation,[status(thm)],[f3,f85]) ).
fof(f107,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),X3)) = multiply(inverse(multiply(X4,multiply(X1,X2))),multiply(X4,X3)),
inference(paramodulation,[status(thm)],[f3,f86]) ).
fof(f163,plain,
! [X0,X1,X2] : X0 = multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X0)),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X1,X2)),
inference(paramodulation,[status(thm)],[f3,f6]) ).
fof(f7324,plain,
! [X0,X1,X2,X3] : multiply(inverse(X0),X0) = multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,multiply(X2,X3))),
inference(paramodulation,[status(thm)],[f163,f107]) ).
fof(f7961,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f7324,f7324]) ).
fof(f7962,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f4,f7961]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP421-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n017.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 May 30 10:59:55 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.19/0.34 % Drodi V3.5.1
% 27.43/3.85 % Refutation found
% 27.43/3.85 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 27.43/3.85 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 27.80/3.92 % Elapsed time: 3.559871 seconds
% 27.80/3.92 % CPU time: 27.605368 seconds
% 27.80/3.92 % Memory used: 470.123 MB
%------------------------------------------------------------------------------