TSTP Solution File: GRP614-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP614-1 : 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 : Tue Apr 30 20:21:05 EDT 2024
% Result : Unsatisfiable 0.20s 0.52s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 3
% Syntax : Number of formulae : 33 ( 33 unt; 0 def)
% Number of atoms : 33 ( 32 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 76 ( 76 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = inverse(double_divide(B,A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),double_divide(X0,X2)) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f6,plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
! [X0,X1,X2] : double_divide(multiply(X0,inverse(double_divide(X1,inverse(X2)))),double_divide(X1,X0)) = X2,
inference(forward_demodulation,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X0,X1,X2] : double_divide(multiply(X0,multiply(inverse(X1),X2)),double_divide(X2,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f7]) ).
fof(f9,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,multiply(multiply(X1,X2),X3)),double_divide(X3,X0)) = double_divide(X2,X1),
inference(paramodulation,[status(thm)],[f5,f8]) ).
fof(f11,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(X1,multiply(inverse(X2),X0))) = inverse(X2),
inference(paramodulation,[status(thm)],[f8,f5]) ).
fof(f12,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(X1,X2),multiply(inverse(X3),multiply(X2,multiply(inverse(X0),X1))))) = inverse(X3),
inference(paramodulation,[status(thm)],[f8,f11]) ).
fof(f16,plain,
! [X0,X1,X2] : double_divide(inverse(X0),double_divide(multiply(inverse(X0),X1),double_divide(X1,inverse(X2)))) = X2,
inference(paramodulation,[status(thm)],[f11,f8]) ).
fof(f27,plain,
! [X0,X1,X2,X3] : double_divide(inverse(X0),double_divide(multiply(inverse(X0),X1),double_divide(X1,multiply(X2,X3)))) = double_divide(X3,X2),
inference(paramodulation,[status(thm)],[f11,f9]) ).
fof(f141,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(multiply(X1,multiply(inverse(inverse(X2)),X3)),double_divide(X3,X1)),inverse(X0))) = inverse(X2),
inference(paramodulation,[status(thm)],[f12,f12]) ).
fof(f142,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X1),inverse(X0))) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f8,f141]) ).
fof(f203,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),X0),inverse(X1)) = inverse(X1),
inference(paramodulation,[status(thm)],[f142,f11]) ).
fof(f218,plain,
! [X0,X1,X2] : multiply(double_divide(inverse(X0),X0),multiply(X1,X2)) = inverse(double_divide(X2,X1)),
inference(paramodulation,[status(thm)],[f5,f203]) ).
fof(f219,plain,
! [X0,X1,X2] : multiply(double_divide(inverse(X0),X0),multiply(X1,X2)) = multiply(X1,X2),
inference(forward_demodulation,[status(thm)],[f5,f218]) ).
fof(f278,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(X0),inverse(double_divide(inverse(X1),X1))),
inference(paramodulation,[status(thm)],[f142,f219]) ).
fof(f279,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(X0),multiply(X1,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f5,f278]) ).
fof(f356,plain,
! [X0,X1,X2,X3] : double_divide(inverse(X0),double_divide(multiply(inverse(X0),X1),double_divide(X1,inverse(X2)))) = double_divide(multiply(X3,inverse(X3)),inverse(X2)),
inference(paramodulation,[status(thm)],[f279,f27]) ).
fof(f357,plain,
! [X0,X1] : X0 = double_divide(multiply(X1,inverse(X1)),inverse(X0)),
inference(forward_demodulation,[status(thm)],[f16,f356]) ).
fof(f385,plain,
! [X0,X1,X2] : double_divide(multiply(inverse(X0),multiply(inverse(X1),multiply(X2,inverse(X2)))),X0) = X1,
inference(paramodulation,[status(thm)],[f357,f8]) ).
fof(f386,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),inverse(X1)),X0) = X1,
inference(forward_demodulation,[status(thm)],[f279,f385]) ).
fof(f388,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f357,f386]) ).
fof(f422,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),X0),X1) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f388,f203]) ).
fof(f423,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),X0),X1) = X1,
inference(forward_demodulation,[status(thm)],[f388,f422]) ).
fof(f466,plain,
! [X0,X1] : multiply(double_divide(X0,inverse(X0)),X1) = X1,
inference(paramodulation,[status(thm)],[f388,f423]) ).
fof(f510,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(paramodulation,[status(thm)],[f357,f466]) ).
fof(f551,plain,
! [X0,X1] : multiply(inverse(double_divide(X0,inverse(X0))),X1) = X1,
inference(paramodulation,[status(thm)],[f466,f510]) ).
fof(f552,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(forward_demodulation,[status(thm)],[f5,f551]) ).
fof(f837,plain,
a2 != a2,
inference(backward_demodulation,[status(thm)],[f552,f6]) ).
fof(f838,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f837]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP614-1 : TPTP v8.1.2. Released v2.6.0.
% 0.04/0.13 % 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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 23:55:03 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.36 % Drodi V3.6.0
% 0.20/0.52 % Refutation found
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.56 % Elapsed time: 0.178171 seconds
% 0.20/0.56 % CPU time: 1.320009 seconds
% 0.20/0.56 % Total memory used: 41.174 MB
% 0.20/0.56 % Net memory used: 39.279 MB
%------------------------------------------------------------------------------