%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP614-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 12:34:48 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.84s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 3
% Syntax : Number of formulae : 38 ( 38 unt; 0 def)
% Number of atoms : 38 ( 37 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 87 ( 87 !; 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(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(inverse(b2),b2),a2) != a2,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f11,plain,
! [X0,X1,X2] : double_divide(multiply(X0,inverse(double_divide(X1,inverse(X2)))),double_divide(X1,X0)) = X2,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f12,plain,
! [X0,X1,X2] : double_divide(multiply(X0,multiply(inverse(X1),X2)),double_divide(X2,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f11]) ).
fof(f13,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,f12]) ).
fof(f15,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(X1,multiply(inverse(X2),X0))) = inverse(X2),
inference(paramodulation,[status(thm)],[f12,f5]) ).
fof(f19,plain,
! [X0,X1,X2] : double_divide(inverse(X0),double_divide(multiply(inverse(X0),X1),double_divide(X1,inverse(X2)))) = X2,
inference(paramodulation,[status(thm)],[f15,f12]) ).
fof(f34,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(multiply(inverse(X1),X2),double_divide(X2,inverse(X0))),multiply(inverse(X3),inverse(X1)))) = inverse(X3),
inference(paramodulation,[status(thm)],[f19,f15]) ).
fof(f59,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(multiply(double_divide(multiply(inverse(X0),X1),double_divide(X1,inverse(inverse(X2)))),multiply(inverse(X3),inverse(X0))),X4),multiply(X4,inverse(X3))) = inverse(X2),
inference(paramodulation,[status(thm)],[f34,f15]) ).
fof(f95,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(inverse(X1),double_divide(multiply(inverse(X1),X2),double_divide(X2,inverse(inverse(X3))))),inverse(X0))) = inverse(X3),
inference(paramodulation,[status(thm)],[f12,f59]) ).
fof(f109,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X1),inverse(X0))) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f19,f95]) ).
fof(f128,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),X0),inverse(X1)) = inverse(X1),
inference(paramodulation,[status(thm)],[f109,f15]) ).
fof(f162,plain,
! [X0,X1,X2] : multiply(double_divide(inverse(X0),X0),multiply(X1,X2)) = inverse(double_divide(X2,X1)),
inference(paramodulation,[status(thm)],[f5,f128]) ).
fof(f171,plain,
! [X0,X1,X2] : multiply(double_divide(inverse(X0),X0),multiply(X1,X2)) = multiply(X1,X2),
inference(forward_demodulation,[status(thm)],[f5,f162]) ).
fof(f214,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(X0),inverse(double_divide(inverse(X1),X1))),
inference(paramodulation,[status(thm)],[f109,f171]) ).
fof(f240,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(X0),multiply(X1,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f5,f214]) ).
fof(f265,plain,
! [X0,X1,X2] : double_divide(inverse(X0),double_divide(inverse(X0),double_divide(multiply(X1,inverse(X1)),inverse(X2)))) = X2,
inference(paramodulation,[status(thm)],[f240,f19]) ).
fof(f272,plain,
! [X0,X1] : double_divide(inverse(X0),double_divide(inverse(inverse(X1)),inverse(X0))) = X1,
inference(paramodulation,[status(thm)],[f240,f12]) ).
fof(f276,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,multiply(inverse(X1),X2)),double_divide(X2,X0)) = double_divide(multiply(X3,inverse(X3)),inverse(X1)),
inference(paramodulation,[status(thm)],[f240,f13]) ).
fof(f285,plain,
! [X0,X1] : double_divide(inverse(X0),double_divide(inverse(X0),X1)) = X1,
inference(backward_demodulation,[status(thm)],[f287,f265]) ).
fof(f287,plain,
! [X0,X1] : X0 = double_divide(multiply(X1,inverse(X1)),inverse(X0)),
inference(forward_demodulation,[status(thm)],[f12,f276]) ).
fof(f302,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),X1),inverse(X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f285,f5]) ).
fof(f426,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(paramodulation,[status(thm)],[f285,f272]) ).
fof(f498,plain,
! [X0,X1] : multiply(double_divide(inverse(inverse(X0)),X1),X0) = inverse(X1),
inference(paramodulation,[status(thm)],[f426,f302]) ).
fof(f506,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),X0),X1) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f426,f128]) ).
fof(f513,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X0))) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f426,f109]) ).
fof(f526,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X0) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f426,f498]) ).
fof(f540,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),X0),X1) = X1,
inference(forward_demodulation,[status(thm)],[f426,f506]) ).
fof(f553,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X0))) = X1,
inference(forward_demodulation,[status(thm)],[f426,f513]) ).
fof(f568,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = double_divide(inverse(X0),X1),
inference(paramodulation,[status(thm)],[f526,f553]) ).
fof(f596,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(backward_demodulation,[status(thm)],[f568,f540]) ).
fof(f737,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(paramodulation,[status(thm)],[f426,f596]) ).
fof(f747,plain,
a2 != a2,
inference(backward_demodulation,[status(thm)],[f737,f6]) ).
fof(f750,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f747]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP614-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.67 % Computer : n013.cluster.edu
% 0.17/0.67 % Model : x86_64 x86_64
% 0.17/0.67 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.67 % Memory : 8046.5625MB
% 0.17/0.67 % OS : Linux 6.8.0-71-generic
% 0.17/0.67 % CPULimit : 300
% 0.17/0.67 % WCLimit : 300
% 0.17/0.67 % DateTime : Sun Sep 20 20:17:51 UTC 2026
% 0.17/0.67 % CPUTime :
% 0.17/0.68 % Drodi V4.1.1
% 0.20/0.84 % Refutation found
% 0.20/0.84 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.84 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.88 % Elapsed time: 0.190275 seconds
% 0.20/0.88 % CPU time: 1.290948 seconds
% 0.20/0.88 % Total memory used: 44.745 MB
% 0.20/0.88 % Net memory used: 43.455 MB
%------------------------------------------------------------------------------