%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP461-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 0.18s 5.50s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 23 unt; 1 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(A,divide(divide(divide(identity,B),C),divide(divide(divide(A,A),A),C))) = B,
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(f4,axiom,
! [A] : identity = divide(A,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
multiply(identity,a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : divide(X0,divide(divide(divide(identity,X1),X2),divide(divide(divide(X0,X0),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(f9,plain,
! [X0] : identity = divide(X0,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f10,plain,
multiply(identity,a2) != a2,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f11,definition,
sF0_fnc = multiply(identity,a2),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f12,plain,
sF0_fnc != a2,
inference(definition_folding,[],[f10,f11]) ).
fof(f19,plain,
! [X0,X1,X2] : divide(X0,divide(divide(divide(identity,X1),X2),divide(divide(identity,X0),X2))) = X1,
inference(forward_demodulation,[status(thm)],[f9,f6]) ).
fof(f20,plain,
! [X0] : divide(X0,identity) = X0,
inference(paramodulation,[status(thm)],[f9,f19]) ).
fof(f23,plain,
! [X0,X1] : divide(X0,divide(identity,divide(divide(identity,X0),divide(identity,X1)))) = X1,
inference(paramodulation,[status(thm)],[f9,f19]) ).
fof(f37,plain,
! [X0,X1] : multiply(X0,divide(divide(identity,X0),divide(identity,X1))) = X1,
inference(forward_demodulation,[status(thm)],[f7,f23]) ).
fof(f38,plain,
! [X0,X1] : multiply(X0,multiply(divide(identity,X0),X1)) = X1,
inference(forward_demodulation,[status(thm)],[f7,f37]) ).
fof(f57,plain,
! [X0] : multiply(X0,identity) = divide(X0,identity),
inference(paramodulation,[status(thm)],[f20,f7]) ).
fof(f64,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[status(thm)],[f20,f57]) ).
fof(f71,plain,
! [X0] : multiply(X0,divide(identity,X0)) = identity,
inference(paramodulation,[status(thm)],[f64,f38]) ).
fof(f83,plain,
! [X0] : multiply(X0,identity) = divide(identity,divide(identity,X0)),
inference(paramodulation,[status(thm)],[f71,f38]) ).
fof(f86,plain,
! [X0] : X0 = divide(identity,divide(identity,X0)),
inference(forward_demodulation,[status(thm)],[f64,f83]) ).
fof(f87,plain,
! [X0] : X0 = multiply(identity,X0),
inference(forward_demodulation,[status(thm)],[f7,f86]) ).
fof(f88,plain,
sF0_fnc = a2,
inference(backward_demodulation,[status(thm)],[f87,f11]) ).
fof(f95,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f88,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP461-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/5.48 % Computer : n008.cluster.edu
% 0.18/5.48 % Model : x86_64 x86_64
% 0.18/5.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.48 % Memory : 8046.5625MB
% 0.18/5.48 % OS : Linux 6.8.0-71-generic
% 0.18/5.48 % CPULimit : 300
% 0.18/5.48 % WCLimit : 300
% 0.18/5.48 % DateTime : Sun Sep 20 20:14:46 UTC 2026
% 0.18/5.48 % CPUTime :
% 0.18/5.49 % Drodi V4.1.1
% 0.18/5.50 % Refutation found
% 0.18/5.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/5.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.23/5.51 % Elapsed time: 0.021975 seconds
% 0.23/5.51 % CPU time: 0.029877 seconds
% 0.23/5.51 % Total memory used: 668.400 KB
% 0.23/5.51 % Net memory used: 639.824 KB
%------------------------------------------------------------------------------