%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP526-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 12:34:36 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.58s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 21 unt; 0 def)
% Number of atoms : 21 ( 20 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 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 : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(A,divide(divide(A,B),divide(C,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(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,plain,
! [X0,X1,X2] : divide(X0,divide(divide(X0,X1),divide(X2,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(inverse(b2),b2),a2) != a2,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f13,plain,
! [X0,X1] : inverse(X0) = divide(inverse(divide(X1,X1)),X0),
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f22,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f7,f6]) ).
fof(f24,plain,
! [X0,X1] : multiply(inverse(divide(X0,X0)),X1) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f13,f22]) ).
fof(f25,plain,
! [X0,X1] : multiply(divide(X0,X0),X1) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f7,f22]) ).
fof(f35,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f22,f25]) ).
fof(f42,plain,
inverse(inverse(a2)) != a2,
inference(backward_demodulation,[status(thm)],[f35,f8]) ).
fof(f88,plain,
! [X0,X1] : divide(X0,inverse(divide(X1,X0))) = X1,
inference(paramodulation,[status(thm)],[f7,f5]) ).
fof(f118,plain,
! [X0,X1] : multiply(X0,divide(X1,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f22,f88]) ).
fof(f150,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f22,f118]) ).
fof(f166,plain,
! [X0,X1] : multiply(inverse(divide(X0,X1)),X0) = X1,
inference(paramodulation,[status(thm)],[f118,f150]) ).
fof(f169,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(paramodulation,[status(thm)],[f24,f166]) ).
fof(f181,plain,
a2 != a2,
inference(backward_demodulation,[status(thm)],[f169,f42]) ).
fof(f192,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f181]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP526-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.56 % Computer : n026.cluster.edu
% 0.10/0.56 % Model : x86_64 x86_64
% 0.10/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.56 % Memory : 8046.5625MB
% 0.10/0.56 % OS : Linux 6.8.0-71-generic
% 0.10/0.56 % CPULimit : 300
% 0.10/0.56 % WCLimit : 300
% 0.10/0.56 % DateTime : Sun Sep 20 20:18:38 UTC 2026
% 0.10/0.56 % CPUTime :
% 0.10/0.57 % Drodi V4.1.1
% 0.10/0.58 % Refutation found
% 0.10/0.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.60 % Elapsed time: 0.034880 seconds
% 0.13/0.60 % CPU time: 0.044779 seconds
% 0.13/0.60 % Total memory used: 1.868 MB
% 0.13/0.60 % Net memory used: 1.842 MB
%------------------------------------------------------------------------------