%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP547-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 12:34:38 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.55s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 5
% Syntax : Number of formulae : 65 ( 65 unt; 0 def)
% Number of atoms : 65 ( 64 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 142 ( 142 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(divide(identity,divide(A,B)),divide(divide(B,C),A)) = C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = divide(A,divide(identity,B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] : inverse(A) = divide(identity,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : identity = divide(A,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : divide(divide(identity,divide(X0,X1)),divide(divide(X1,X2),X0)) = X2,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f7,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f8,plain,
! [X0] : inverse(X0) = divide(identity,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(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f16,plain,
! [X0,X1,X2] : divide(inverse(divide(X0,X1)),divide(divide(X1,X2),X0)) = X2,
inference(backward_demodulation,[status(thm)],[f8,f6]) ).
fof(f17,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f18,plain,
inverse(identity) = identity,
inference(paramodulation,[status(thm)],[f9,f8]) ).
fof(f20,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f17]) ).
fof(f25,plain,
! [X0,X1,X2,X3] : divide(inverse(X0),divide(divide(divide(divide(X1,X0),X2),X3),inverse(divide(X2,X1)))) = X3,
inference(paramodulation,[status(thm)],[f16,f16]) ).
fof(f26,plain,
! [X0,X1] : divide(inverse(inverse(X0)),divide(divide(X0,X1),identity)) = X1,
inference(paramodulation,[status(thm)],[f8,f16]) ).
fof(f27,plain,
! [X0,X1,X2] : divide(inverse(multiply(X0,X1)),divide(divide(inverse(X1),X2),X0)) = X2,
inference(paramodulation,[status(thm)],[f17,f16]) ).
fof(f28,plain,
! [X0,X1] : divide(inverse(identity),divide(divide(X0,X1),X0)) = X1,
inference(paramodulation,[status(thm)],[f9,f16]) ).
fof(f30,plain,
! [X0,X1] : divide(inverse(divide(divide(X0,X1),X0)),identity) = X1,
inference(paramodulation,[status(thm)],[f9,f16]) ).
fof(f33,plain,
! [X0,X1,X2] : divide(inverse(divide(X0,X1)),divide(multiply(X1,X2),X0)) = inverse(X2),
inference(paramodulation,[status(thm)],[f17,f16]) ).
fof(f34,plain,
! [X0,X1] : divide(inverse(divide(X0,X1)),divide(identity,X0)) = X1,
inference(paramodulation,[status(thm)],[f9,f16]) ).
fof(f35,plain,
! [X0,X1,X2,X3] : divide(inverse(X0),multiply(divide(divide(divide(X1,X0),X2),X3),divide(X2,X1))) = X3,
inference(forward_demodulation,[status(thm)],[f17,f25]) ).
fof(f36,plain,
! [X0,X1] : divide(multiply(identity,X0),divide(divide(X0,X1),identity)) = X1,
inference(forward_demodulation,[status(thm)],[f20,f26]) ).
fof(f37,plain,
! [X0,X1] : divide(identity,divide(divide(X0,X1),X0)) = X1,
inference(forward_demodulation,[status(thm)],[f18,f28]) ).
fof(f38,plain,
! [X0,X1] : inverse(divide(divide(X0,X1),X0)) = X1,
inference(forward_demodulation,[status(thm)],[f8,f37]) ).
fof(f39,plain,
! [X0,X1] : divide(multiply(identity,X0),divide(X0,X1)) = X1,
inference(backward_demodulation,[status(thm)],[f41,f36]) ).
fof(f41,plain,
! [X0] : divide(X0,identity) = X0,
inference(forward_demodulation,[status(thm)],[f38,f30]) ).
fof(f44,plain,
! [X0,X1] : divide(inverse(divide(X0,X1)),inverse(X0)) = X1,
inference(forward_demodulation,[status(thm)],[f8,f34]) ).
fof(f45,plain,
! [X0,X1] : multiply(inverse(divide(X0,X1)),X0) = X1,
inference(forward_demodulation,[status(thm)],[f17,f44]) ).
fof(f61,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,multiply(identity,X1)),
inference(paramodulation,[status(thm)],[f20,f17]) ).
fof(f63,plain,
! [X0,X1,X2] : multiply(inverse(X0),inverse(divide(X1,X2))) = divide(divide(X2,X0),X1),
inference(paramodulation,[status(thm)],[f16,f45]) ).
fof(f67,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(paramodulation,[status(thm)],[f9,f45]) ).
fof(f73,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,X1),
inference(backward_demodulation,[status(thm)],[f76,f61]) ).
fof(f75,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(backward_demodulation,[status(thm)],[f76,f39]) ).
fof(f76,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[status(thm)],[f18,f67]) ).
fof(f79,plain,
! [X0,X1,X2] : divide(inverse(X0),divide(X1,X2)) = divide(divide(X2,X0),X1),
inference(backward_demodulation,[status(thm)],[f73,f63]) ).
fof(f82,plain,
! [X0,X1,X2] : divide(divide(X0,divide(X0,X1)),multiply(X1,X2)) = inverse(X2),
inference(backward_demodulation,[status(thm)],[f79,f33]) ).
fof(f85,plain,
! [X0,X1,X2] : divide(divide(X0,multiply(X0,X1)),divide(inverse(X1),X2)) = X2,
inference(backward_demodulation,[status(thm)],[f79,f27]) ).
fof(f88,plain,
! [X0,X1] : divide(X0,multiply(X0,X1)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f75,f82]) ).
fof(f92,plain,
! [X0,X1] : divide(inverse(X0),divide(inverse(X0),X1)) = X1,
inference(forward_demodulation,[status(thm)],[f88,f85]) ).
fof(f93,plain,
! [X0,X1] : divide(divide(X0,X1),inverse(X1)) = X0,
inference(forward_demodulation,[status(thm)],[f79,f92]) ).
fof(f94,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f17,f93]) ).
fof(f114,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(paramodulation,[status(thm)],[f17,f94]) ).
fof(f117,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f73,f114]) ).
fof(f125,plain,
! [X0,X1] : multiply(X0,divide(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f75,f94]) ).
fof(f135,plain,
! [X0,X1,X2] : divide(inverse(X0),divide(divide(X1,X0),X2)) = divide(X2,X1),
inference(paramodulation,[status(thm)],[f94,f35]) ).
fof(f136,plain,
! [X0,X1,X2,X3] : divide(inverse(X0),multiply(X1,divide(X2,X3))) = divide(divide(divide(X3,X0),X2),X1),
inference(paramodulation,[status(thm)],[f75,f35]) ).
fof(f161,plain,
! [X0,X1,X2] : divide(divide(X0,X1),divide(X2,X1)) = divide(X0,X2),
inference(forward_demodulation,[status(thm)],[f79,f135]) ).
fof(f199,plain,
! [X0,X1] : inverse(divide(X0,X1)) = divide(X1,X0),
inference(paramodulation,[status(thm)],[f75,f38]) ).
fof(f233,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f117,f125]) ).
fof(f234,plain,
! [X0,X1] : divide(multiply(X0,X1),X0) = X1,
inference(paramodulation,[status(thm)],[f117,f75]) ).
fof(f239,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f233,f10]) ).
fof(f312,plain,
! [X0,X1,X2] : multiply(X0,divide(X1,X2)) = divide(X0,divide(X2,X1)),
inference(paramodulation,[status(thm)],[f199,f17]) ).
fof(f324,plain,
! [X0,X1,X2,X3] : divide(inverse(X0),divide(X1,divide(X2,X3))) = divide(divide(divide(X2,X0),X3),X1),
inference(backward_demodulation,[status(thm)],[f312,f136]) ).
fof(f331,plain,
! [X0,X1,X2,X3] : divide(divide(divide(X0,X1),X2),X3) = divide(divide(divide(X0,X2),X1),X3),
inference(forward_demodulation,[status(thm)],[f79,f324]) ).
fof(f633,plain,
! [X0,X1,X2] : divide(divide(X0,X1),X2) = divide(X0,multiply(X1,X2)),
inference(paramodulation,[status(thm)],[f234,f161]) ).
fof(f681,plain,
! [X0,X1,X2,X3] : divide(divide(divide(X0,X1),X2),X3) = divide(divide(X0,X2),multiply(X1,X3)),
inference(backward_demodulation,[status(thm)],[f633,f331]) ).
fof(f746,plain,
! [X0,X1,X2,X3] : divide(divide(X0,X1),multiply(X2,X3)) = divide(divide(X0,X2),multiply(X1,X3)),
inference(forward_demodulation,[status(thm)],[f633,f681]) ).
fof(f747,plain,
! [X0,X1,X2,X3] : divide(X0,multiply(X1,multiply(X2,X3))) = divide(divide(X0,X2),multiply(X1,X3)),
inference(forward_demodulation,[status(thm)],[f633,f746]) ).
fof(f748,plain,
! [X0,X1,X2,X3] : divide(X0,multiply(X1,multiply(X2,X3))) = divide(X0,multiply(X2,multiply(X1,X3))),
inference(forward_demodulation,[status(thm)],[f633,f747]) ).
fof(f809,plain,
! [X0,X1,X2,X3] : divide(X0,divide(X0,multiply(X1,multiply(X2,X3)))) = multiply(X2,multiply(X1,X3)),
inference(paramodulation,[status(thm)],[f748,f75]) ).
fof(f978,plain,
multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f979,f239]) ).
fof(f979,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X0,X2)),
inference(forward_demodulation,[status(thm)],[f75,f809]) ).
fof(f1044,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(forward_demodulation,[status(thm)],[f233,f978]) ).
fof(f1045,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f1044]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP547-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.52 % Computer : n014.cluster.edu
% 0.09/0.52 % Model : x86_64 x86_64
% 0.09/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.52 % Memory : 8046.5625MB
% 0.09/0.52 % OS : Linux 6.8.0-71-generic
% 0.09/0.52 % CPULimit : 300
% 0.09/0.52 % WCLimit : 300
% 0.09/0.52 % DateTime : Sun Sep 20 20:16:21 UTC 2026
% 0.09/0.53 % CPUTime :
% 0.09/0.53 % Drodi V4.1.1
% 0.09/0.55 % Refutation found
% 0.09/0.55 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.37/1.79 % Elapsed time: 1.041328 seconds
% 1.37/1.79 % CPU time: 0.103336 seconds
% 1.37/1.79 % Total memory used: 3.883 MB
% 1.37/1.79 % Net memory used: 3.781 MB
%------------------------------------------------------------------------------