%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP451-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : 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 12:34:14 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.39s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 25 unt; 0 def)
% Number of atoms : 25 ( 24 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 9 ( 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 : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B,
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(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,plain,
! [X0,X1,X2] : divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2) = X1,
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(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f14,plain,
! [X0,X1,X2] : divide(inverse(divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2) = X1,
inference(backward_demodulation,[status(thm)],[f7,f5]) ).
fof(f15,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f7,f6]) ).
fof(f16,plain,
! [X0,X1,X2] : divide(inverse(divide(X0,divide(X1,divide(inverse(X0),X2)))),X2) = X1,
inference(forward_demodulation,[status(thm)],[f7,f14]) ).
fof(f18,plain,
! [X0,X1] : multiply(divide(X0,X0),X1) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f7,f15]) ).
fof(f20,plain,
! [X0,X1] : inverse(X0) = divide(multiply(inverse(X1),X1),X0),
inference(paramodulation,[status(thm)],[f15,f7]) ).
fof(f22,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f15,f18]) ).
fof(f26,plain,
! [X0,X1] : inverse(X0) = divide(inverse(multiply(inverse(X1),X1)),X0),
inference(paramodulation,[status(thm)],[f20,f7]) ).
fof(f28,plain,
! [X0,X1,X2] : divide(inverse(inverse(divide(X0,divide(inverse(multiply(inverse(X1),X1)),X2)))),X2) = X0,
inference(paramodulation,[status(thm)],[f20,f16]) ).
fof(f37,plain,
! [X0,X1] : divide(inverse(inverse(divide(X0,inverse(X1)))),X1) = X0,
inference(forward_demodulation,[status(thm)],[f26,f28]) ).
fof(f38,plain,
! [X0,X1] : divide(inverse(inverse(multiply(X0,X1))),X1) = X0,
inference(forward_demodulation,[status(thm)],[f15,f37]) ).
fof(f45,plain,
! [X0,X1] : multiply(inverse(inverse(multiply(X0,inverse(X1)))),X1) = X0,
inference(paramodulation,[status(thm)],[f15,f38]) ).
fof(f68,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(inverse(inverse(X0))))),X0) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f22,f45]) ).
fof(f70,plain,
! [X0,X1] : divide(inverse(inverse(X0)),X1) = inverse(inverse(multiply(X0,inverse(X1)))),
inference(paramodulation,[status(thm)],[f45,f38]) ).
fof(f71,plain,
! [X0,X1] : multiply(divide(inverse(inverse(X0)),X1),X1) = X0,
inference(backward_demodulation,[status(thm)],[f70,f45]) ).
fof(f73,plain,
! [X0] : inverse(inverse(inverse(inverse(X0)))) = X0,
inference(paramodulation,[status(thm)],[f18,f71]) ).
fof(f79,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(backward_demodulation,[status(thm)],[f73,f68]) ).
fof(f83,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f8,f79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP451-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n019.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 20:13:51 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.15/0.39 % Refutation found
% 0.15/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.40 % Elapsed time: 0.022692 seconds
% 0.15/0.40 % CPU time: 0.040088 seconds
% 0.15/0.40 % Total memory used: 1.690 MB
% 0.15/0.40 % Net memory used: 1.666 MB
%------------------------------------------------------------------------------