%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP555-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 12:34:39 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.41s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 20 unt; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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 : 56 ( 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(divide(A,inverse(divide(B,divide(A,C)))),C) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = divide(A,inverse(B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : divide(divide(X0,inverse(divide(X1,divide(X0,X2)))),X2) = X1,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f6,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f12,plain,
! [X0,X1,X2] : divide(multiply(X0,divide(X1,divide(X0,X2))),X2) = X1,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f13,plain,
! [X0,X1,X2] : multiply(multiply(X0,divide(X1,divide(X0,inverse(X2)))),X2) = X1,
inference(paramodulation,[status(thm)],[f5,f12]) ).
fof(f14,plain,
! [X0,X1,X2,X3] : divide(multiply(X0,X1),X2) = multiply(X3,divide(X1,divide(X3,divide(X0,X2)))),
inference(paramodulation,[status(thm)],[f12,f12]) ).
fof(f15,plain,
! [X0,X1,X2,X3] : divide(multiply(multiply(X0,divide(X1,divide(X0,X2))),divide(X3,X1)),X2) = X3,
inference(paramodulation,[status(thm)],[f12,f12]) ).
fof(f18,plain,
! [X0,X1,X2] : multiply(multiply(X0,divide(X1,multiply(X0,X2))),X2) = X1,
inference(forward_demodulation,[status(thm)],[f5,f13]) ).
fof(f22,plain,
! [X0,X1,X2,X3] : multiply(multiply(multiply(X0,divide(X1,multiply(X0,X2))),divide(X3,X1)),X2) = X3,
inference(paramodulation,[status(thm)],[f18,f18]) ).
fof(f47,plain,
! [X0,X1,X2,X3,X4,X5] : divide(multiply(multiply(multiply(X0,divide(X1,divide(X0,X2))),divide(X3,X1)),X4),X2) = multiply(X5,divide(X4,divide(X5,X3))),
inference(paramodulation,[status(thm)],[f15,f14]) ).
fof(f107,plain,
! [X0,X1] : multiply(X0,divide(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f18,f22]) ).
fof(f125,plain,
! [X0,X1,X2,X3] : multiply(X0,X1) = multiply(multiply(X2,divide(X3,divide(X2,X0))),divide(X1,X3)),
inference(paramodulation,[status(thm)],[f15,f107]) ).
fof(f126,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(X2,divide(X1,divide(X2,X0))),
inference(paramodulation,[status(thm)],[f12,f107]) ).
fof(f138,plain,
! [X0,X1,X2,X3] : divide(multiply(multiply(X0,X1),X2),X0) = multiply(X3,divide(X2,divide(X3,X1))),
inference(backward_demodulation,[status(thm)],[f125,f47]) ).
fof(f167,plain,
! [X0,X1,X2] : divide(multiply(multiply(X0,X1),X2),X0) = multiply(X1,X2),
inference(forward_demodulation,[status(thm)],[f126,f138]) ).
fof(f208,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(paramodulation,[status(thm)],[f167,f107]) ).
fof(f213,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f6,f208]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP555-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n019.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 20 20:16:50 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.38 % Drodi V4.1.1
% 0.12/0.41 % Refutation found
% 0.12/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.47/1.62 % Elapsed time: 1.029846 seconds
% 1.47/1.62 % CPU time: 0.156170 seconds
% 1.47/1.62 % Total memory used: 7.397 MB
% 1.47/1.62 % Net memory used: 7.262 MB
%------------------------------------------------------------------------------