%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP598-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 12:34:45 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.43s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% 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 : 77 ( 77 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))) = C,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = inverse(double_divide(B,A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(inverse(X2),X1))))) = X2,
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(double_divide(X0,X1),multiply(inverse(double_divide(inverse(X2),X1)),X0)) = X2,
inference(forward_demodulation,[status(thm)],[f5,f4]) ).
fof(f12,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,X1),multiply(multiply(X1,inverse(X2)),X0)) = X2,
inference(forward_demodulation,[status(thm)],[f5,f11]) ).
fof(f13,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(multiply(multiply(multiply(X1,inverse(X0)),X2),inverse(X3)),double_divide(X2,X1))) = X3,
inference(paramodulation,[status(thm)],[f12,f12]) ).
fof(f15,plain,
! [X0,X1,X2] : multiply(multiply(multiply(X0,inverse(X1)),X2),double_divide(X2,X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f12,f5]) ).
fof(f18,plain,
! [X0,X1,X2,X3] : multiply(multiply(multiply(multiply(multiply(X0,inverse(X1)),X2),inverse(X3)),double_divide(X2,X0)),X1) = inverse(X3),
inference(paramodulation,[status(thm)],[f12,f15]) ).
fof(f19,plain,
! [X0,X1,X2] : double_divide(double_divide(double_divide(inverse(X0),X1),multiply(X1,inverse(X2))),inverse(X2)) = X0,
inference(paramodulation,[status(thm)],[f15,f12]) ).
fof(f179,plain,
! [X0,X1,X2,X3] : multiply(multiply(inverse(X0),double_divide(double_divide(X1,X2),multiply(multiply(X2,inverse(inverse(X3))),X1))),X0) = inverse(X3),
inference(paramodulation,[status(thm)],[f18,f18]) ).
fof(f192,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(inverse(X0),double_divide(double_divide(X1,X2),multiply(multiply(X2,inverse(inverse(X3))),X1)))) = X3,
inference(paramodulation,[status(thm)],[f18,f13]) ).
fof(f212,plain,
! [X0,X1] : multiply(multiply(inverse(X0),inverse(X1)),X0) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f12,f179]) ).
fof(f214,plain,
! [X0,X1] : double_divide(X0,multiply(inverse(X0),inverse(X1))) = X1,
inference(forward_demodulation,[status(thm)],[f12,f192]) ).
fof(f245,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,X1),multiply(multiply(X1,X0),inverse(X2))) = X2,
inference(paramodulation,[status(thm)],[f5,f214]) ).
fof(f246,plain,
! [X0,X1,X2] : double_divide(X0,multiply(inverse(X0),multiply(X1,X2))) = double_divide(X2,X1),
inference(paramodulation,[status(thm)],[f5,f214]) ).
fof(f265,plain,
! [X0,X1] : multiply(inverse(X0),double_divide(X1,inverse(X1))) = inverse(X0),
inference(paramodulation,[status(thm)],[f212,f15]) ).
fof(f307,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),double_divide(X2,inverse(X2))) = inverse(double_divide(X1,X0)),
inference(paramodulation,[status(thm)],[f5,f265]) ).
fof(f318,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),double_divide(X2,inverse(X2))) = multiply(X0,X1),
inference(forward_demodulation,[status(thm)],[f5,f307]) ).
fof(f371,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),inverse(inverse(X1))),inverse(X0)) = X1,
inference(paramodulation,[status(thm)],[f212,f245]) ).
fof(f529,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(double_divide(X1,inverse(X1))),inverse(X0)),
inference(paramodulation,[status(thm)],[f212,f318]) ).
fof(f572,plain,
! [X0,X1] : inverse(X0) = multiply(multiply(inverse(X1),X1),inverse(X0)),
inference(forward_demodulation,[status(thm)],[f5,f529]) ).
fof(f624,plain,
! [X0,X1,X2] : double_divide(X0,multiply(inverse(X0),inverse(X1))) = double_divide(inverse(X1),multiply(inverse(X2),X2)),
inference(paramodulation,[status(thm)],[f572,f246]) ).
fof(f637,plain,
! [X0,X1] : X0 = double_divide(inverse(X0),multiply(inverse(X1),X1)),
inference(forward_demodulation,[status(thm)],[f214,f624]) ).
fof(f654,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,multiply(multiply(inverse(X1),X1),inverse(X2))),inverse(X2)) = X0,
inference(paramodulation,[status(thm)],[f637,f19]) ).
fof(f668,plain,
! [X0,X1] : double_divide(double_divide(X0,inverse(X1)),inverse(X1)) = X0,
inference(forward_demodulation,[status(thm)],[f572,f654]) ).
fof(f675,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f371,f668]) ).
fof(f705,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(inverse(X1),X1),X0),
inference(paramodulation,[status(thm)],[f675,f572]) ).
fof(f744,plain,
! [X0,X1] : X0 = multiply(multiply(inverse(X1),X1),X0),
inference(forward_demodulation,[status(thm)],[f675,f705]) ).
fof(f1850,plain,
a2 != a2,
inference(backward_demodulation,[status(thm)],[f744,f6]) ).
fof(f1913,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f1850]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP598-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n016.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 20:22:21 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.43 % Refutation found
% 0.12/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.46 % Elapsed time: 0.089807 seconds
% 0.12/0.46 % CPU time: 0.592470 seconds
% 0.12/0.46 % Total memory used: 32.960 MB
% 0.12/0.46 % Net memory used: 32.683 MB
%------------------------------------------------------------------------------