%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP452-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 12:34:15 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.39s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 7
% Syntax : Number of formulae : 42 ( 42 unt; 3 def)
% Number of atoms : 42 ( 41 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 62 ( 62 !; 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/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : multiply(A,B) = divide(A,divide(divide(C,C),B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : inverse(A) = divide(divide(B,B),A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/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(multiply(inverse(b2),b2),a2) != a2,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f9,definition,
sF2_fnc = inverse(b2),
introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition]) ).
fof(f10,definition,
sF1_fnc = multiply(sF2_fnc,b2),
introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).
fof(f11,definition,
sF0_fnc = multiply(sF1_fnc,a2),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f12,plain,
sF0_fnc != a2,
inference(definition_folding,[],[f8,f11,f10,f9]) ).
fof(f13,plain,
! [X0,X1] : inverse(X0) = divide(inverse(divide(X1,X1)),X0),
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f17,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f7,f6]) ).
fof(f20,plain,
! [X0] : multiply(X0,b2) = divide(X0,sF2_fnc),
inference(paramodulation,[status(thm)],[f9,f17]) ).
fof(f30,plain,
! [X0] : inverse(X0) = divide(multiply(sF2_fnc,b2),X0),
inference(paramodulation,[status(thm)],[f20,f7]) ).
fof(f32,plain,
! [X0] : inverse(X0) = divide(sF1_fnc,X0),
inference(forward_demodulation,[status(thm)],[f10,f30]) ).
fof(f34,plain,
! [X0] : inverse(inverse(X0)) = multiply(sF1_fnc,X0),
inference(paramodulation,[status(thm)],[f17,f32]) ).
fof(f46,plain,
sF0_fnc = inverse(inverse(a2)),
inference(backward_demodulation,[status(thm)],[f34,f11]) ).
fof(f180,plain,
! [X0,X1,X2] : divide(inverse(divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2) = X1,
inference(forward_demodulation,[status(thm)],[f7,f5]) ).
fof(f181,plain,
! [X0,X1,X2] : divide(inverse(divide(X0,divide(X1,divide(inverse(X0),X2)))),X2) = X1,
inference(forward_demodulation,[status(thm)],[f7,f180]) ).
fof(f193,plain,
! [X0,X1,X2] : divide(inverse(inverse(divide(X0,divide(inverse(divide(X1,X1)),X2)))),X2) = X0,
inference(paramodulation,[status(thm)],[f7,f181]) ).
fof(f202,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(X0,X1)),X2) = inverse(divide(X3,divide(X1,divide(inverse(X3),divide(inverse(X0),X2))))),
inference(paramodulation,[status(thm)],[f181,f181]) ).
fof(f204,plain,
! [X0,X1,X2] : divide(inverse(divide(X0,inverse(divide(inverse(X0),X1)))),X1) = divide(X2,X2),
inference(paramodulation,[status(thm)],[f7,f181]) ).
fof(f233,plain,
! [X0,X1] : divide(inverse(inverse(divide(X0,inverse(X1)))),X1) = X0,
inference(forward_demodulation,[status(thm)],[f13,f193]) ).
fof(f234,plain,
! [X0,X1] : divide(inverse(inverse(multiply(X0,X1))),X1) = X0,
inference(forward_demodulation,[status(thm)],[f17,f233]) ).
fof(f244,plain,
! [X0,X1,X2] : divide(inverse(multiply(X0,divide(inverse(X0),X1))),X1) = divide(X2,X2),
inference(forward_demodulation,[status(thm)],[f17,f204]) ).
fof(f511,plain,
! [X0,X1] : divide(X0,X0) = divide(X1,X1),
inference(paramodulation,[status(thm)],[f244,f244]) ).
fof(f607,plain,
! [X0] : multiply(sF2_fnc,b2) = divide(X0,X0),
inference(paramodulation,[status(thm)],[f20,f511]) ).
fof(f681,plain,
! [X0] : sF1_fnc = divide(X0,X0),
inference(forward_demodulation,[status(thm)],[f10,f607]) ).
fof(f702,plain,
sF1_fnc = inverse(sF1_fnc),
inference(paramodulation,[status(thm)],[f32,f681]) ).
fof(f720,plain,
! [X0,X1,X2] : divide(inverse(divide(X0,divide(inverse(X1),divide(inverse(X0),X2)))),X2) = inverse(divide(X1,sF1_fnc)),
inference(paramodulation,[status(thm)],[f681,f202]) ).
fof(f726,plain,
! [X0] : inverse(X0) = inverse(divide(X0,sF1_fnc)),
inference(forward_demodulation,[status(thm)],[f181,f720]) ).
fof(f739,plain,
! [X0] : multiply(X0,sF1_fnc) = divide(X0,sF1_fnc),
inference(paramodulation,[status(thm)],[f702,f17]) ).
fof(f974,plain,
! [X0] : inverse(X0) = inverse(multiply(X0,sF1_fnc)),
inference(backward_demodulation,[status(thm)],[f739,f726]) ).
fof(f1027,plain,
! [X0] : divide(inverse(inverse(X0)),sF1_fnc) = X0,
inference(paramodulation,[status(thm)],[f974,f234]) ).
fof(f1039,plain,
! [X0] : multiply(inverse(inverse(X0)),sF1_fnc) = X0,
inference(forward_demodulation,[status(thm)],[f739,f1027]) ).
fof(f1050,plain,
! [X0] : divide(inverse(inverse(X0)),sF1_fnc) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f1039,f234]) ).
fof(f1052,plain,
! [X0] : multiply(inverse(inverse(X0)),sF1_fnc) = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f739,f1050]) ).
fof(f1053,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f1039,f1052]) ).
fof(f1077,plain,
sF0_fnc = a2,
inference(backward_demodulation,[status(thm)],[f1053,f46]) ).
fof(f1091,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1077,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP452-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n005.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 20:13:35 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.39 % Refutation found
% 0.11/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.44 % Elapsed time: 0.060211 seconds
% 0.11/0.44 % CPU time: 0.062931 seconds
% 0.11/0.44 % Total memory used: 1.864 MB
% 0.11/0.44 % Net memory used: 1.798 MB
%------------------------------------------------------------------------------