%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP540-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 12:34:37 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.53s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 21 unt; 0 def)
% Number of atoms : 21 ( 20 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 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 : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(divide(A,B),divide(divide(A,C),B)) = C,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : multiply(A,B) = divide(A,divide(divide(C,C),B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : inverse(A) = divide(divide(B,B),A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : identity = divide(A,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : divide(divide(X0,X1),divide(divide(X0,X2),X1)) = X2,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f7,plain,
! [X0,X1,X2] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f8,plain,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f9,plain,
! [X0] : identity = divide(X0,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f10,plain,
multiply(a,b) != multiply(b,a),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f14,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f15,plain,
! [X0] : inverse(X0) = divide(identity,X0),
inference(backward_demodulation,[status(thm)],[f9,f8]) ).
fof(f305,plain,
! [X0,X1,X2] : divide(multiply(X0,X1),divide(divide(X0,X2),inverse(X1))) = X2,
inference(paramodulation,[status(thm)],[f14,f6]) ).
fof(f315,plain,
! [X0,X1] : divide(divide(X0,X1),divide(identity,X1)) = X0,
inference(paramodulation,[status(thm)],[f9,f6]) ).
fof(f319,plain,
! [X0,X1,X2] : divide(multiply(X0,X1),multiply(divide(X0,X2),X1)) = X2,
inference(forward_demodulation,[status(thm)],[f14,f305]) ).
fof(f325,plain,
! [X0,X1] : divide(divide(X0,X1),inverse(X1)) = X0,
inference(forward_demodulation,[status(thm)],[f15,f315]) ).
fof(f326,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f14,f325]) ).
fof(f653,plain,
! [X0,X1] : divide(multiply(X0,X1),X0) = X1,
inference(paramodulation,[status(thm)],[f326,f319]) ).
fof(f691,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f653,f326]) ).
fof(f698,plain,
multiply(a,b) != multiply(a,b),
inference(backward_demodulation,[status(thm)],[f691,f10]) ).
fof(f705,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f698]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP540-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.51 % Computer : n007.cluster.edu
% 0.07/0.51 % Model : x86_64 x86_64
% 0.07/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.51 % Memory : 8046.5625MB
% 0.07/0.51 % OS : Linux 6.8.0-71-generic
% 0.07/0.51 % CPULimit : 300
% 0.07/0.51 % WCLimit : 300
% 0.07/0.51 % DateTime : Sun Sep 20 20:14:05 UTC 2026
% 0.07/0.51 % CPUTime :
% 0.07/0.52 % Drodi V4.1.1
% 0.07/0.53 % Refutation found
% 0.07/0.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.55 % Elapsed time: 0.035641 seconds
% 0.07/0.55 % CPU time: 0.087076 seconds
% 0.07/0.55 % Total memory used: 3.548 MB
% 0.07/0.55 % Net memory used: 3.484 MB
%------------------------------------------------------------------------------