%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP608-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:34:47 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 3
% Syntax : Number of formulae : 65 ( 65 unt; 0 def)
% Number of atoms : 65 ( 64 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 : 7 ( 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 : 152 ( 152 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))),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(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))),X2) = X1,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f6,plain,
multiply(a,b) != multiply(b,a),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f10,plain,
! [X0,X1,X2] : double_divide(inverse(double_divide(X0,multiply(double_divide(X0,X1),inverse(X2)))),X1) = X2,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f11,plain,
! [X0,X1,X2] : double_divide(multiply(multiply(double_divide(X0,X1),inverse(X2)),X0),X1) = X2,
inference(forward_demodulation,[status(thm)],[f5,f10]) ).
fof(f12,plain,
! [X0,X1,X2,X3] : double_divide(multiply(multiply(X0,inverse(X1)),multiply(multiply(double_divide(X2,X3),inverse(X0)),X2)),X3) = X1,
inference(paramodulation,[status(thm)],[f11,f11]) ).
fof(f13,plain,
! [X0,X1,X2,X3] : double_divide(multiply(multiply(double_divide(X0,X1),multiply(X2,X3)),X0),X1) = double_divide(X3,X2),
inference(paramodulation,[status(thm)],[f5,f11]) ).
fof(f14,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(double_divide(X1,X0),inverse(X2)),X1)) = inverse(X2),
inference(paramodulation,[status(thm)],[f11,f5]) ).
fof(f25,plain,
! [X0,X1] : double_divide(inverse(X0),multiply(X0,inverse(X1))) = X1,
inference(paramodulation,[status(thm)],[f14,f12]) ).
fof(f40,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),inverse(X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f25,f5]) ).
fof(f44,plain,
! [X0,X1] : double_divide(inverse(multiply(X0,inverse(X1))),inverse(X1)) = X0,
inference(paramodulation,[status(thm)],[f40,f25]) ).
fof(f49,plain,
! [X0,X1] : double_divide(inverse(inverse(X0)),inverse(X1)) = multiply(X1,inverse(X0)),
inference(paramodulation,[status(thm)],[f40,f44]) ).
fof(f59,plain,
! [X0,X1,X2] : double_divide(inverse(multiply(X0,X1)),inverse(X2)) = multiply(X2,inverse(double_divide(X1,X0))),
inference(paramodulation,[status(thm)],[f5,f49]) ).
fof(f66,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X0))) = X1,
inference(backward_demodulation,[status(thm)],[f67,f44]) ).
fof(f67,plain,
! [X0,X1,X2] : double_divide(inverse(multiply(X0,X1)),inverse(X2)) = multiply(X2,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f5,f59]) ).
fof(f69,plain,
! [X0,X1] : inverse(X0) = multiply(double_divide(inverse(X1),X1),inverse(X0)),
inference(paramodulation,[status(thm)],[f14,f66]) ).
fof(f71,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(X2,multiply(X1,X0))) = X2,
inference(paramodulation,[status(thm)],[f5,f66]) ).
fof(f87,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),X1),X1) = X0,
inference(paramodulation,[status(thm)],[f66,f71]) ).
fof(f99,plain,
! [X0,X1,X2] : double_divide(multiply(multiply(X0,inverse(X1)),multiply(X2,inverse(X2))),inverse(X0)) = X1,
inference(paramodulation,[status(thm)],[f87,f12]) ).
fof(f100,plain,
! [X0,X1] : double_divide(multiply(X0,inverse(X0)),inverse(X1)) = X1,
inference(paramodulation,[status(thm)],[f87,f11]) ).
fof(f101,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(inverse(X1),inverse(X0)),
inference(paramodulation,[status(thm)],[f87,f66]) ).
fof(f103,plain,
! [X0,X1] : double_divide(inverse(double_divide(inverse(X0),inverse(X1))),X0) = X1,
inference(paramodulation,[status(thm)],[f87,f25]) ).
fof(f105,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),X2) = double_divide(inverse(X2),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f87,f71]) ).
fof(f110,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),inverse(X1)),X1) = X0,
inference(forward_demodulation,[status(thm)],[f5,f103]) ).
fof(f117,plain,
! [X0,X1,X2] : double_divide(multiply(X0,inverse(X0)),multiply(X1,X2)) = double_divide(X2,X1),
inference(paramodulation,[status(thm)],[f5,f100]) ).
fof(f124,plain,
! [X0,X1,X2] : multiply(X0,double_divide(X1,X2)) = double_divide(multiply(X2,X1),inverse(X0)),
inference(paramodulation,[status(thm)],[f5,f101]) ).
fof(f126,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X0)) = X1,
inference(paramodulation,[status(thm)],[f101,f87]) ).
fof(f130,plain,
! [X0,X1] : multiply(inverse(X0),inverse(X1)) = inverse(multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f101,f5]) ).
fof(f137,plain,
! [X0,X1,X2] : multiply(X0,double_divide(multiply(X1,inverse(X1)),multiply(X0,inverse(X2)))) = X2,
inference(backward_demodulation,[status(thm)],[f124,f99]) ).
fof(f149,plain,
! [X0,X1] : double_divide(inverse(multiply(X0,X1)),X1) = X0,
inference(backward_demodulation,[status(thm)],[f130,f110]) ).
fof(f154,plain,
! [X0,X1] : multiply(X0,double_divide(inverse(X1),X0)) = X1,
inference(forward_demodulation,[status(thm)],[f117,f137]) ).
fof(f158,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(inverse(X0),X1),X1),multiply(X2,X0)) = X2,
inference(paramodulation,[status(thm)],[f154,f71]) ).
fof(f161,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),X2) = double_divide(multiply(X2,X1),X0),
inference(paramodulation,[status(thm)],[f71,f13]) ).
fof(f169,plain,
! [X0,X1,X2,X3] : double_divide(multiply(multiply(double_divide(X0,X1),X2),X0),X1) = double_divide(double_divide(inverse(X2),X3),X3),
inference(paramodulation,[status(thm)],[f154,f13]) ).
fof(f175,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,X1),multiply(double_divide(X1,X0),multiply(X2,X3))) = double_divide(X3,X2),
inference(backward_demodulation,[status(thm)],[f161,f13]) ).
fof(f184,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,X1),multiply(double_divide(X1,X0),X2)) = double_divide(double_divide(inverse(X2),X3),X3),
inference(forward_demodulation,[status(thm)],[f161,f169]) ).
fof(f218,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = double_divide(inverse(X0),X1),
inference(paramodulation,[status(thm)],[f154,f126]) ).
fof(f223,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,X1),multiply(double_divide(X1,X0),X2)) = double_divide(inverse(X3),multiply(X3,X2)),
inference(paramodulation,[status(thm)],[f126,f175]) ).
fof(f228,plain,
! [X0,X1] : double_divide(inverse(multiply(X0,X1)),X0) = X1,
inference(backward_demodulation,[status(thm)],[f218,f126]) ).
fof(f232,plain,
! [X0,X1] : inverse(X0) = double_divide(inverse(double_divide(inverse(X1),X1)),X0),
inference(backward_demodulation,[status(thm)],[f218,f69]) ).
fof(f264,plain,
! [X0,X1,X2] : double_divide(double_divide(inverse(X0),X0),multiply(X1,X2)) = double_divide(X2,X1),
inference(backward_demodulation,[status(thm)],[f218,f117]) ).
fof(f267,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,X1),multiply(double_divide(X1,X0),X2)) = multiply(double_divide(X2,X3),X3),
inference(forward_demodulation,[status(thm)],[f105,f223]) ).
fof(f274,plain,
! [X0,X1] : inverse(X0) = double_divide(multiply(X1,inverse(X1)),X0),
inference(forward_demodulation,[status(thm)],[f5,f232]) ).
fof(f275,plain,
! [X0,X1] : inverse(X0) = double_divide(double_divide(inverse(X1),X1),X0),
inference(forward_demodulation,[status(thm)],[f218,f274]) ).
fof(f352,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X1) = X0,
inference(backward_demodulation,[status(thm)],[f354,f228]) ).
fof(f353,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(backward_demodulation,[status(thm)],[f354,f149]) ).
fof(f354,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = double_divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f275,f264]) ).
fof(f358,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),multiply(double_divide(X1,X0),X2)) = inverse(X2),
inference(backward_demodulation,[status(thm)],[f352,f184]) ).
fof(f359,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(backward_demodulation,[status(thm)],[f352,f158]) ).
fof(f361,plain,
! [X0,X1] : inverse(X0) = multiply(double_divide(X0,X1),X1),
inference(backward_demodulation,[status(thm)],[f358,f267]) ).
fof(f364,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(backward_demodulation,[status(thm)],[f361,f87]) ).
fof(f375,plain,
! [X0,X1] : multiply(inverse(X0),X1) = double_divide(inverse(X1),X0),
inference(paramodulation,[status(thm)],[f364,f101]) ).
fof(f376,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = double_divide(X1,inverse(X0)),
inference(paramodulation,[status(thm)],[f364,f101]) ).
fof(f381,plain,
! [X0,X1] : double_divide(inverse(multiply(X0,X1)),X1) = X0,
inference(backward_demodulation,[status(thm)],[f375,f359]) ).
fof(f388,plain,
! [X0,X1] : double_divide(inverse(X0),X1) = double_divide(X1,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f218,f376]) ).
fof(f394,plain,
! [X0,X1] : double_divide(X0,inverse(multiply(X1,X0))) = X1,
inference(forward_demodulation,[status(thm)],[f388,f381]) ).
fof(f396,plain,
! [X0,X1] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f354,f394]) ).
fof(f422,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f396,f353]) ).
fof(f463,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(inverse(X0),inverse(X1)),
inference(paramodulation,[status(thm)],[f101,f422]) ).
fof(f479,plain,
multiply(a,b) != multiply(a,b),
inference(backward_demodulation,[status(thm)],[f498,f6]) ).
fof(f498,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f101,f463]) ).
fof(f504,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f479]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP608-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:17:55 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.42 % Elapsed time: 0.049559 seconds
% 0.14/0.42 % CPU time: 0.183543 seconds
% 0.14/0.42 % Total memory used: 8.283 MB
% 0.14/0.42 % Net memory used: 8.041 MB
%------------------------------------------------------------------------------