%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP528-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 12:34:36 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.38s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 31 ( 31 unt; 0 def)
% Number of atoms : 31 ( 30 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 : 5 ( 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 : 60 ( 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(A,divide(divide(A,B),divide(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,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,plain,
! [X0,X1,X2] : divide(X0,divide(divide(X0,X1),divide(X2,X1))) = X2,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f6,plain,
! [X0,X1,X2] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f7,plain,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f8,plain,
multiply(a,b) != multiply(b,a),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f12,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f7,f6]) ).
fof(f13,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(divide(X1,X1),X0),
inference(paramodulation,[status(thm)],[f12,f7]) ).
fof(f15,plain,
! [X0,X1] : inverse(X0) = divide(multiply(inverse(X1),X1),X0),
inference(paramodulation,[status(thm)],[f12,f7]) ).
fof(f17,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(inverse(divide(X1,X1)),X0),
inference(paramodulation,[status(thm)],[f7,f13]) ).
fof(f26,plain,
! [X0,X1] : inverse(X0) = divide(inverse(inverse(divide(X1,X1))),X0),
inference(paramodulation,[status(thm)],[f17,f15]) ).
fof(f178,plain,
! [X0,X1] : divide(X0,inverse(divide(X1,X0))) = X1,
inference(paramodulation,[status(thm)],[f7,f5]) ).
fof(f179,plain,
! [X0,X1,X2] : divide(X0,X1) = divide(divide(X0,divide(X1,X2)),X2),
inference(paramodulation,[status(thm)],[f5,f5]) ).
fof(f220,plain,
! [X0,X1] : multiply(X0,divide(X1,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f12,f178]) ).
fof(f268,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f12,f220]) ).
fof(f304,plain,
! [X0,X1] : multiply(inverse(divide(X0,X1)),X0) = X1,
inference(paramodulation,[status(thm)],[f220,f268]) ).
fof(f311,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(paramodulation,[status(thm)],[f17,f304]) ).
fof(f317,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),inverse(inverse(divide(X1,X1)))) = X0,
inference(paramodulation,[status(thm)],[f26,f304]) ).
fof(f321,plain,
! [X0,X1,X2] : multiply(inverse(X0),X1) = divide(divide(X1,X2),divide(X0,X2)),
inference(paramodulation,[status(thm)],[f5,f304]) ).
fof(f388,plain,
! [X0,X1] : multiply(X0,inverse(inverse(divide(X1,X1)))) = X0,
inference(forward_demodulation,[status(thm)],[f311,f317]) ).
fof(f389,plain,
! [X0,X1] : multiply(X0,divide(X1,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f311,f388]) ).
fof(f393,plain,
! [X0,X1] : divide(X0,multiply(inverse(X1),X0)) = X1,
inference(backward_demodulation,[status(thm)],[f321,f5]) ).
fof(f594,plain,
! [X0,X1] : divide(X0,multiply(X1,X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f311,f393]) ).
fof(f651,plain,
! [X0,X1,X2] : multiply(X0,divide(X1,X2)) = divide(X1,divide(X2,X0)),
inference(paramodulation,[status(thm)],[f179,f220]) ).
fof(f684,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(backward_demodulation,[status(thm)],[f651,f389]) ).
fof(f834,plain,
! [X0,X1] : divide(X0,inverse(X1)) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f594,f684]) ).
fof(f835,plain,
multiply(a,b) != multiply(a,b),
inference(backward_demodulation,[status(thm)],[f836,f8]) ).
fof(f836,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f12,f834]) ).
fof(f837,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f835]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP528-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:17:30 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.38 % Refutation found
% 0.09/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.42 % Elapsed time: 0.048741 seconds
% 0.14/0.42 % CPU time: 0.122256 seconds
% 0.14/0.42 % Total memory used: 4.975 MB
% 0.14/0.42 % Net memory used: 4.767 MB
%------------------------------------------------------------------------------