%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP484-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 12:34:30 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 33 unt; 0 def)
% Number of atoms : 33 ( 32 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; 2 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),double_divide(B,identity))),double_divide(identity,identity)) = C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = double_divide(double_divide(B,A),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] : inverse(A) = double_divide(A,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : identity = double_divide(A,inverse(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
multiply(inverse(a1),a1) != identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity))),double_divide(identity,identity)) = X2,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f7,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f8,plain,
! [X0] : inverse(X0) = double_divide(X0,identity),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f9,plain,
! [X0] : identity = double_divide(X0,inverse(X0)),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f10,plain,
multiply(inverse(a1),a1) != identity,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f14,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(forward_demodulation,[status(thm)],[f8,f7]) ).
fof(f15,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(identity),
inference(paramodulation,[status(thm)],[f9,f14]) ).
fof(f16,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f14]) ).
fof(f17,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f14,f9]) ).
fof(f18,plain,
inverse(identity) != identity,
inference(backward_demodulation,[status(thm)],[f15,f10]) ).
fof(f20,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),inverse(X1))),double_divide(identity,identity)) = X2,
inference(forward_demodulation,[status(thm)],[f8,f6]) ).
fof(f21,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),inverse(X1))),inverse(identity)) = X2,
inference(forward_demodulation,[status(thm)],[f8,f20]) ).
fof(f24,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity)) = inverse(double_divide(X0,X1)),
inference(paramodulation,[status(thm)],[f9,f21]) ).
fof(f27,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),inverse(inverse(X0)))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f9,f21]) ).
fof(f33,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity)) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f14,f24]) ).
fof(f35,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f16,f16]) ).
fof(f39,plain,
! [X0] : identity = double_divide(inverse(X0),multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f16,f9]) ).
fof(f272,plain,
! [X0] : double_divide(double_divide(X0,identity),inverse(identity)) = multiply(identity,X0),
inference(paramodulation,[status(thm)],[f9,f33]) ).
fof(f290,plain,
! [X0] : double_divide(inverse(X0),inverse(identity)) = multiply(identity,X0),
inference(forward_demodulation,[status(thm)],[f8,f272]) ).
fof(f497,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),multiply(identity,X0))),inverse(identity)) = X1,
inference(forward_demodulation,[status(thm)],[f16,f27]) ).
fof(f499,plain,
double_divide(double_divide(identity,identity),inverse(identity)) = identity,
inference(paramodulation,[status(thm)],[f17,f497]) ).
fof(f523,plain,
double_divide(inverse(identity),inverse(identity)) = identity,
inference(forward_demodulation,[status(thm)],[f8,f499]) ).
fof(f524,plain,
multiply(identity,identity) = identity,
inference(forward_demodulation,[status(thm)],[f290,f523]) ).
fof(f544,plain,
multiply(identity,inverse(identity)) = inverse(identity),
inference(paramodulation,[status(thm)],[f524,f35]) ).
fof(f568,plain,
identity = double_divide(inverse(inverse(identity)),inverse(identity)),
inference(paramodulation,[status(thm)],[f544,f39]) ).
fof(f582,plain,
identity = multiply(identity,inverse(identity)),
inference(forward_demodulation,[status(thm)],[f290,f568]) ).
fof(f583,plain,
identity = inverse(identity),
inference(forward_demodulation,[status(thm)],[f544,f582]) ).
fof(f584,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f583,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP484-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n002.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 20:17:18 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.39 % Elapsed time: 0.024436 seconds
% 0.13/0.39 % CPU time: 0.062037 seconds
% 0.13/0.39 % Total memory used: 3.333 MB
% 0.13/0.39 % Net memory used: 3.269 MB
%------------------------------------------------------------------------------