%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP465-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 12:34:16 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.58s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 5
% Syntax : Number of formulae : 56 ( 56 unt; 0 def)
% Number of atoms : 56 ( 55 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 111 ( 111 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C))) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = divide(A,divide(identity,B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] : inverse(A) = divide(identity,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(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(divide(identity,X0),X2))) = X1,
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] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f17,plain,
! [X0,X1,X2] : divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(inverse(X0),X2))) = X1,
inference(backward_demodulation,[status(thm)],[f8,f6]) ).
fof(f18,plain,
! [X0,X1,X2] : divide(X0,divide(divide(divide(identity,X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[status(thm)],[f9,f17]) ).
fof(f19,plain,
! [X0,X1,X2] : divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f18]) ).
fof(f20,plain,
inverse(identity) = identity,
inference(paramodulation,[status(thm)],[f9,f8]) ).
fof(f22,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f16]) ).
fof(f23,plain,
! [X0] : multiply(inverse(X0),X0) = identity,
inference(paramodulation,[status(thm)],[f9,f16]) ).
fof(f28,plain,
! [X0] : divide(X0,identity) = X0,
inference(paramodulation,[status(thm)],[f9,f19]) ).
fof(f29,plain,
! [X0,X1,X2,X3] : divide(X0,divide(X1,divide(inverse(X0),divide(divide(inverse(X1),X2),divide(inverse(inverse(X3)),X2))))) = X3,
inference(paramodulation,[status(thm)],[f19,f19]) ).
fof(f31,plain,
! [X0,X1] : divide(X0,divide(identity,divide(inverse(X0),inverse(X1)))) = X1,
inference(paramodulation,[status(thm)],[f9,f19]) ).
fof(f35,plain,
! [X0,X1] : divide(X0,divide(divide(inverse(X1),inverse(X0)),identity)) = X1,
inference(paramodulation,[status(thm)],[f9,f19]) ).
fof(f42,plain,
! [X0,X1,X2,X3] : divide(X0,divide(X1,divide(inverse(X0),divide(divide(inverse(X1),X2),divide(multiply(identity,X3),X2))))) = X3,
inference(forward_demodulation,[status(thm)],[f22,f29]) ).
fof(f44,plain,
! [X0,X1] : divide(X0,inverse(divide(inverse(X0),inverse(X1)))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f31]) ).
fof(f45,plain,
! [X0,X1] : multiply(X0,divide(inverse(X0),inverse(X1))) = X1,
inference(forward_demodulation,[status(thm)],[f16,f44]) ).
fof(f46,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[status(thm)],[f16,f45]) ).
fof(f50,plain,
! [X0,X1] : divide(X0,divide(inverse(X1),inverse(X0))) = X1,
inference(forward_demodulation,[status(thm)],[f28,f35]) ).
fof(f51,plain,
! [X0,X1] : divide(X0,multiply(inverse(X1),X0)) = X1,
inference(forward_demodulation,[status(thm)],[f16,f50]) ).
fof(f70,plain,
! [X0] : multiply(X0,identity) = X0,
inference(paramodulation,[status(thm)],[f23,f46]) ).
fof(f76,plain,
! [X0] : multiply(X0,inverse(X0)) = identity,
inference(paramodulation,[status(thm)],[f70,f46]) ).
fof(f79,plain,
! [X0] : multiply(X0,identity) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f76,f46]) ).
fof(f80,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f70,f79]) ).
fof(f84,plain,
! [X0,X1,X2,X3] : divide(X0,divide(X1,divide(inverse(X0),divide(divide(inverse(X1),X2),divide(X3,X2))))) = X3,
inference(backward_demodulation,[status(thm)],[f86,f42]) ).
fof(f86,plain,
! [X0] : X0 = multiply(identity,X0),
inference(forward_demodulation,[status(thm)],[f22,f80]) ).
fof(f96,plain,
! [X0] : inverse(multiply(inverse(X0),identity)) = X0,
inference(paramodulation,[status(thm)],[f8,f51]) ).
fof(f100,plain,
! [X0,X1] : divide(multiply(inverse(inverse(X0)),X1),X1) = X0,
inference(paramodulation,[status(thm)],[f46,f51]) ).
fof(f105,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f70,f96]) ).
fof(f108,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f105,f100]) ).
fof(f113,plain,
! [X0,X1] : divide(X0,multiply(X1,X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f105,f51]) ).
fof(f119,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,X1),
inference(paramodulation,[status(thm)],[f105,f16]) ).
fof(f126,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(paramodulation,[status(thm)],[f16,f108]) ).
fof(f134,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f119,f126]) ).
fof(f236,plain,
! [X0,X1] : divide(X0,X1) = inverse(divide(X1,X0)),
inference(paramodulation,[status(thm)],[f134,f113]) ).
fof(f265,plain,
! [X0,X1] : divide(inverse(X0),X1) = inverse(multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f16,f236]) ).
fof(f342,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = divide(X0,divide(inverse(X2),X1)),
inference(paramodulation,[status(thm)],[f265,f16]) ).
fof(f357,plain,
! [X0,X1,X2,X3] : divide(X0,multiply(X1,multiply(divide(divide(inverse(X1),X2),divide(X3,X2)),X0))) = X3,
inference(backward_demodulation,[status(thm)],[f342,f84]) ).
fof(f886,plain,
! [X0,X1,X2] : inverse(multiply(X0,multiply(divide(divide(inverse(X0),X1),divide(X2,X1)),identity))) = X2,
inference(paramodulation,[status(thm)],[f8,f357]) ).
fof(f928,plain,
! [X0,X1,X2] : divide(inverse(multiply(divide(divide(inverse(X0),X1),divide(X2,X1)),identity)),X0) = X2,
inference(forward_demodulation,[status(thm)],[f265,f886]) ).
fof(f929,plain,
! [X0,X1,X2] : divide(divide(inverse(identity),divide(divide(inverse(X0),X1),divide(X2,X1))),X0) = X2,
inference(forward_demodulation,[status(thm)],[f265,f928]) ).
fof(f930,plain,
! [X0,X1,X2] : divide(divide(identity,divide(divide(inverse(X0),X1),divide(X2,X1))),X0) = X2,
inference(forward_demodulation,[status(thm)],[f20,f929]) ).
fof(f931,plain,
! [X0,X1,X2] : divide(inverse(divide(divide(inverse(X0),X1),divide(X2,X1))),X0) = X2,
inference(forward_demodulation,[status(thm)],[f8,f930]) ).
fof(f932,plain,
! [X0,X1,X2] : divide(divide(divide(X0,X1),divide(inverse(X2),X1)),X2) = X0,
inference(forward_demodulation,[status(thm)],[f236,f931]) ).
fof(f933,plain,
! [X0,X1,X2] : divide(multiply(divide(X0,X1),multiply(X1,X2)),X2) = X0,
inference(forward_demodulation,[status(thm)],[f342,f932]) ).
fof(f1256,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(divide(X0,X2),multiply(X2,X1)),
inference(paramodulation,[status(thm)],[f933,f134]) ).
fof(f1357,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(paramodulation,[status(thm)],[f108,f1256]) ).
fof(f1403,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f1357,f10]) ).
fof(f1508,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f1403]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP465-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.55 % Computer : n004.cluster.edu
% 0.11/0.55 % Model : x86_64 x86_64
% 0.11/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.55 % Memory : 8046.5625MB
% 0.11/0.55 % OS : Linux 6.8.0-71-generic
% 0.11/0.55 % CPULimit : 300
% 0.11/0.55 % WCLimit : 300
% 0.11/0.55 % DateTime : Sun Sep 20 20:13:37 UTC 2026
% 0.13/0.56 % CPUTime :
% 0.13/0.56 % Drodi V4.1.1
% 0.13/0.58 % Refutation found
% 0.13/0.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.61 % Elapsed time: 0.043855 seconds
% 0.13/0.61 % CPU time: 0.121199 seconds
% 0.13/0.61 % Total memory used: 5.134 MB
% 0.13/0.61 % Net memory used: 4.947 MB
%------------------------------------------------------------------------------