%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP611-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 3
% Syntax : Number of formulae : 48 ( 48 unt; 0 def)
% Number of atoms : 48 ( 47 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 143 ( 143 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : inverse(double_divide(inverse(double_divide(inverse(double_divide(A,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(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : inverse(double_divide(inverse(double_divide(inverse(double_divide(X0,X1)),X2)),double_divide(X0,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(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f12,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),inverse(double_divide(inverse(double_divide(X0,X2)),X1))) = X2,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f13,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(X1,inverse(double_divide(X0,X2)))) = X2,
inference(forward_demodulation,[status(thm)],[f5,f12]) ).
fof(f14,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(X1,multiply(X2,X0))) = X2,
inference(forward_demodulation,[status(thm)],[f5,f13]) ).
fof(f15,plain,
! [X0,X1,X2] : multiply(double_divide(multiply(X0,X1),double_divide(X1,X2)),X0) = X2,
inference(paramodulation,[status(thm)],[f14,f14]) ).
fof(f16,plain,
! [X0,X1,X2,X3] : multiply(double_divide(multiply(X0,multiply(X1,X2)),X3),multiply(X3,X1)) = double_divide(X2,X0),
inference(paramodulation,[status(thm)],[f14,f14]) ).
fof(f26,plain,
! [X0,X1,X2] : X0 = double_divide(X1,multiply(double_divide(multiply(X2,X1),X0),X2)),
inference(paramodulation,[status(thm)],[f15,f16]) ).
fof(f48,plain,
! [X0,X1,X2,X3] : multiply(double_divide(multiply(X0,multiply(X1,X2)),X3),X0) = double_divide(X2,multiply(X3,X1)),
inference(paramodulation,[status(thm)],[f26,f26]) ).
fof(f58,plain,
! [X0,X1,X2] : multiply(multiply(double_divide(multiply(X0,X1),X2),X0),X1) = inverse(X2),
inference(paramodulation,[status(thm)],[f26,f5]) ).
fof(f89,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,multiply(double_divide(multiply(X1,multiply(X2,X0)),X3),X1)),inverse(X3)) = X2,
inference(paramodulation,[status(thm)],[f58,f14]) ).
fof(f100,plain,
! [X0,X1,X2] : multiply(double_divide(X0,double_divide(X0,multiply(X1,X2))),inverse(X1)) = X2,
inference(forward_demodulation,[status(thm)],[f48,f89]) ).
fof(f107,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,double_divide(X0,X1)),inverse(double_divide(X2,X3))) = multiply(X3,multiply(X1,X2)),
inference(paramodulation,[status(thm)],[f14,f100]) ).
fof(f108,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,double_divide(X0,multiply(double_divide(X1,X2),X3))),multiply(X2,X1)) = X3,
inference(paramodulation,[status(thm)],[f5,f100]) ).
fof(f109,plain,
! [X0,X1,X2] : multiply(X0,X1) = inverse(double_divide(multiply(inverse(X2),X1),multiply(X2,X0))),
inference(paramodulation,[status(thm)],[f100,f58]) ).
fof(f110,plain,
! [X0,X1,X2] : double_divide(multiply(inverse(X0),X1),multiply(X0,X2)) = double_divide(X1,X2),
inference(paramodulation,[status(thm)],[f100,f26]) ).
fof(f129,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,double_divide(X0,X1)),multiply(X2,X3)) = multiply(X2,multiply(X1,X3)),
inference(forward_demodulation,[status(thm)],[f5,f107]) ).
fof(f130,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(double_divide(X1,X0),X2),X1)) = X2,
inference(forward_demodulation,[status(thm)],[f129,f108]) ).
fof(f131,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(multiply(X2,X0),multiply(inverse(X2),X1)),
inference(forward_demodulation,[status(thm)],[f5,f109]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(multiply(X0,X1),X2),multiply(X2,X3)) = double_divide(multiply(multiply(double_divide(X4,X3),X1),X4),X0),
inference(paramodulation,[status(thm)],[f130,f16]) ).
fof(f160,plain,
! [X0,X1,X2,X3] : double_divide(multiply(inverse(double_divide(X0,X1)),X2),X3) = double_divide(X2,multiply(X1,multiply(X3,X0))),
inference(paramodulation,[status(thm)],[f14,f110]) ).
fof(f164,plain,
! [X0,X1,X2] : multiply(X0,X1) = double_divide(X2,multiply(double_divide(X2,X1),inverse(X0))),
inference(paramodulation,[status(thm)],[f110,f26]) ).
fof(f186,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(multiply(X0,X1),X2),multiply(X2,X3)) = double_divide(X4,multiply(double_divide(X4,X3),multiply(X0,X1))),
inference(backward_demodulation,[status(thm)],[f195,f149]) ).
fof(f195,plain,
! [X0,X1,X2,X3] : double_divide(multiply(multiply(X0,X1),X2),X3) = double_divide(X2,multiply(X0,multiply(X3,X1))),
inference(forward_demodulation,[status(thm)],[f5,f160]) ).
fof(f199,plain,
! [X0,X1,X2] : multiply(X0,double_divide(X1,X2)) = double_divide(multiply(inverse(X0),X1),X2),
inference(paramodulation,[status(thm)],[f15,f164]) ).
fof(f201,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = double_divide(multiply(inverse(X1),X3),multiply(double_divide(X3,X2),inverse(X0))),
inference(paramodulation,[status(thm)],[f110,f164]) ).
fof(f205,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),X2) = double_divide(X3,multiply(double_divide(X3,X2),multiply(X1,X0))),
inference(paramodulation,[status(thm)],[f5,f164]) ).
fof(f221,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = multiply(X1,double_divide(X3,multiply(double_divide(X3,X2),inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f199,f201]) ).
fof(f222,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(multiply(X1,multiply(X2,X3)),X0),X2)) = double_divide(X3,X1),
inference(backward_demodulation,[status(thm)],[f241,f16]) ).
fof(f226,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(inverse(X2),multiply(multiply(X2,X0),X1)),
inference(backward_demodulation,[status(thm)],[f241,f131]) ).
fof(f230,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(double_divide(multiply(X1,X2),X0),X3)) = double_divide(X4,multiply(double_divide(X4,X3),multiply(X1,X2))),
inference(backward_demodulation,[status(thm)],[f241,f186]) ).
fof(f241,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X0,X2)),
inference(forward_demodulation,[status(thm)],[f164,f221]) ).
fof(f260,plain,
! [X0,X1,X2] : multiply(double_divide(multiply(X0,X1),X2),X0) = double_divide(X1,X2),
inference(backward_demodulation,[status(thm)],[f262,f222]) ).
fof(f262,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(multiply(X1,X2),X0),X3)) = multiply(double_divide(X2,X1),X3),
inference(forward_demodulation,[status(thm)],[f205,f230]) ).
fof(f284,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X0) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f260,f58]) ).
fof(f499,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(paramodulation,[status(thm)],[f284,f130]) ).
fof(f503,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(inverse(double_divide(X2,X0)),X1),
inference(paramodulation,[status(thm)],[f499,f130]) ).
fof(f505,plain,
multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f539,f6]) ).
fof(f538,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(inverse(X2),multiply(X2,multiply(X1,X0))),
inference(backward_demodulation,[status(thm)],[f539,f226]) ).
fof(f539,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X2),X1),
inference(forward_demodulation,[status(thm)],[f5,f503]) ).
fof(f592,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(X2,multiply(inverse(X2),multiply(X1,X0))),
inference(forward_demodulation,[status(thm)],[f241,f538]) ).
fof(f594,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f603,f505]) ).
fof(f603,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f499,f592]) ).
fof(f604,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f594]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP611-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n006.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 20 20:17:42 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.14/0.36 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.42 % Elapsed time: 0.054453 seconds
% 0.14/0.42 % CPU time: 0.206116 seconds
% 0.14/0.42 % Total memory used: 9.316 MB
% 0.14/0.42 % Net memory used: 8.877 MB
%------------------------------------------------------------------------------