%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP523-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : 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 12:34:35 PM UTC 2026
% Result : Unsatisfiable 0.02s 0.39s
% Output : CNFRefutation 0.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 4
% Syntax : Number of formulae : 56 ( 56 unt; 0 def)
% Number of atoms : 56 ( 55 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 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 : 123 ( 123 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(A,divide(B,divide(C,divide(A,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(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,plain,
! [X0,X1,X2] : divide(X0,divide(X1,divide(X2,divide(X0,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(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f14,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f7,f6]) ).
fof(f15,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(divide(X1,X1),X0),
inference(paramodulation,[status(thm)],[f14,f7]) ).
fof(f16,plain,
! [X0,X1] : inverse(X0) = divide(inverse(divide(X1,X1)),X0),
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f171,plain,
! [X0,X1,X2] : inverse(divide(X0,divide(X1,divide(inverse(divide(X2,X2)),X0)))) = X1,
inference(paramodulation,[status(thm)],[f16,f5]) ).
fof(f188,plain,
! [X0,X1,X2] : divide(X0,inverse(divide(X1,divide(X0,divide(X2,X2))))) = X1,
inference(paramodulation,[status(thm)],[f7,f5]) ).
fof(f198,plain,
! [X0,X1,X2] : divide(X0,divide(divide(X1,divide(X2,X0)),X1)) = X2,
inference(paramodulation,[status(thm)],[f5,f5]) ).
fof(f209,plain,
! [X0,X1,X2] : divide(X0,divide(inverse(X1),divide(X2,multiply(X0,X1)))) = X2,
inference(paramodulation,[status(thm)],[f14,f5]) ).
fof(f219,plain,
! [X0,X1] : inverse(divide(X0,divide(X1,inverse(X0)))) = X1,
inference(forward_demodulation,[status(thm)],[f16,f171]) ).
fof(f220,plain,
! [X0,X1] : inverse(divide(X0,multiply(X1,X0))) = X1,
inference(forward_demodulation,[status(thm)],[f14,f219]) ).
fof(f252,plain,
! [X0,X1,X2] : multiply(X0,divide(X1,divide(X0,divide(X2,X2)))) = X1,
inference(forward_demodulation,[status(thm)],[f14,f188]) ).
fof(f306,plain,
! [X0,X1] : inverse(inverse(multiply(X0,divide(X1,X1)))) = X0,
inference(paramodulation,[status(thm)],[f7,f220]) ).
fof(f314,plain,
! [X0,X1] : inverse(divide(X0,inverse(inverse(X0)))) = divide(X1,X1),
inference(paramodulation,[status(thm)],[f15,f220]) ).
fof(f331,plain,
! [X0,X1] : inverse(multiply(X0,inverse(X0))) = divide(X1,X1),
inference(forward_demodulation,[status(thm)],[f14,f314]) ).
fof(f370,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(X1,divide(X2,X2)))) = divide(X0,X1),
inference(paramodulation,[status(thm)],[f306,f14]) ).
fof(f420,plain,
! [X0,X1,X2] : divide(X0,divide(X1,inverse(multiply(X2,inverse(X2))))) = divide(X0,X1),
inference(paramodulation,[status(thm)],[f331,f5]) ).
fof(f423,plain,
! [X0,X1,X2] : divide(X0,divide(X0,divide(X1,inverse(multiply(X2,inverse(X2)))))) = X1,
inference(paramodulation,[status(thm)],[f331,f5]) ).
fof(f441,plain,
! [X0,X1,X2] : divide(X0,multiply(X1,multiply(X2,inverse(X2)))) = divide(X0,X1),
inference(forward_demodulation,[status(thm)],[f14,f420]) ).
fof(f442,plain,
! [X0,X1,X2] : divide(X0,divide(X0,multiply(X1,multiply(X2,inverse(X2))))) = X1,
inference(forward_demodulation,[status(thm)],[f14,f423]) ).
fof(f443,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f441,f442]) ).
fof(f444,plain,
! [X0,X1] : inverse(divide(inverse(divide(X0,X0)),X1)) = X1,
inference(paramodulation,[status(thm)],[f16,f443]) ).
fof(f453,plain,
! [X0,X1] : X0 = divide(X0,divide(X1,X1)),
inference(paramodulation,[status(thm)],[f5,f443]) ).
fof(f487,plain,
! [X0,X1] : multiply(X0,divide(X1,X1)) = X0,
inference(backward_demodulation,[status(thm)],[f568,f306]) ).
fof(f568,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f16,f444]) ).
fof(f578,plain,
! [X0,X1] : multiply(X0,divide(X1,X0)) = X1,
inference(backward_demodulation,[status(thm)],[f453,f252]) ).
fof(f609,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,X1),
inference(backward_demodulation,[status(thm)],[f487,f370]) ).
fof(f710,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
inference(paramodulation,[status(thm)],[f443,f578]) ).
fof(f721,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(paramodulation,[status(thm)],[f14,f710]) ).
fof(f722,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f609,f721]) ).
fof(f730,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f722,f578]) ).
fof(f731,plain,
! [X0,X1] : divide(multiply(X0,X1),X0) = X1,
inference(paramodulation,[status(thm)],[f722,f443]) ).
fof(f737,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f730,f8]) ).
fof(f857,plain,
! [X0,X1,X2] : divide(X0,X1) = divide(divide(X2,divide(X1,X0)),X2),
inference(paramodulation,[status(thm)],[f198,f443]) ).
fof(f898,plain,
! [X0,X1,X2] : divide(X0,divide(inverse(X1),X2)) = multiply(multiply(X0,X1),X2),
inference(paramodulation,[status(thm)],[f731,f209]) ).
fof(f939,plain,
! [X0,X1] : multiply(inverse(X0),X1) = divide(X1,X0),
inference(paramodulation,[status(thm)],[f730,f609]) ).
fof(f945,plain,
! [X0,X1] : divide(divide(X0,X1),X0) = inverse(X1),
inference(paramodulation,[status(thm)],[f609,f731]) ).
fof(f950,plain,
! [X0,X1] : divide(X0,X1) = inverse(divide(X1,X0)),
inference(backward_demodulation,[status(thm)],[f945,f857]) ).
fof(f1037,plain,
! [X0,X1] : divide(inverse(X0),X1) = inverse(multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f14,f950]) ).
fof(f1040,plain,
! [X0,X1,X2] : multiply(X0,divide(X1,X2)) = divide(X0,divide(X2,X1)),
inference(paramodulation,[status(thm)],[f950,f609]) ).
fof(f1116,plain,
! [X0,X1,X2] : multiply(divide(X0,X1),X2) = divide(X2,divide(X1,X0)),
inference(paramodulation,[status(thm)],[f950,f939]) ).
fof(f1192,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = divide(X0,divide(inverse(X2),X1)),
inference(paramodulation,[status(thm)],[f1037,f14]) ).
fof(f1202,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X2),X1),
inference(forward_demodulation,[status(thm)],[f898,f1192]) ).
fof(f1212,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = divide(X0,divide(inverse(X2),X1)),
inference(paramodulation,[status(thm)],[f14,f1040]) ).
fof(f1259,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = divide(X2,divide(inverse(X1),X0)),
inference(paramodulation,[status(thm)],[f14,f1116]) ).
fof(f1287,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = divide(X1,divide(inverse(X2),X0)),
inference(forward_demodulation,[status(thm)],[f1202,f1259]) ).
fof(f1288,plain,
multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f1289,f737]) ).
fof(f1289,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X0,X2)),
inference(forward_demodulation,[status(thm)],[f1212,f1287]) ).
fof(f1307,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(forward_demodulation,[status(thm)],[f730,f1288]) ).
fof(f1308,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f1307]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP523-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n007.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
% 0.02/0.36 % CPULimit : 300
% 0.02/0.36 % WCLimit : 300
% 0.02/0.36 % DateTime : Sun Sep 20 20:13:36 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.37 % Drodi V4.1.1
% 0.02/0.39 % Refutation found
% 0.02/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.02/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.47/1.62 % Elapsed time: 1.042266 seconds
% 1.47/1.62 % CPU time: 0.139832 seconds
% 1.47/1.62 % Total memory used: 5.036 MB
% 1.47/1.62 % Net memory used: 4.762 MB
%------------------------------------------------------------------------------