%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP446-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 0.08s 0.36s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 7
% Syntax : Number of formulae : 45 ( 45 unt; 3 def)
% Number of atoms : 45 ( 44 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 : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 60 ( 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),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(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(divide(divide(X0,X0),X0),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(f19,plain,
! [X0,X1] : multiply(divide(X0,X0),X1) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f7,f17]) ).
fof(f20,plain,
! [X0] : multiply(X0,b2) = divide(X0,sF2_fnc),
inference(paramodulation,[status(thm)],[f9,f17]) ).
fof(f29,plain,
! [X0] : inverse(X0) = divide(inverse(multiply(sF2_fnc,b2)),X0),
inference(paramodulation,[status(thm)],[f20,f13]) ).
fof(f30,plain,
! [X0] : inverse(X0) = divide(multiply(sF2_fnc,b2),X0),
inference(paramodulation,[status(thm)],[f20,f7]) ).
fof(f31,plain,
! [X0] : inverse(X0) = divide(inverse(sF1_fnc),X0),
inference(forward_demodulation,[status(thm)],[f10,f29]) ).
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(X0,divide(divide(inverse(X1),X2),divide(divide(divide(X0,X0),X0),X2))) = X1,
inference(forward_demodulation,[status(thm)],[f7,f5]) ).
fof(f181,plain,
! [X0,X1,X2] : divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[status(thm)],[f7,f180]) ).
fof(f191,plain,
! [X0,X1,X2] : inverse(divide(divide(inverse(X0),X1),divide(inverse(divide(X2,X2)),X1))) = X0,
inference(paramodulation,[status(thm)],[f7,f181]) ).
fof(f192,plain,
! [X0,X1] : divide(X0,inverse(divide(inverse(X0),inverse(X1)))) = X1,
inference(paramodulation,[status(thm)],[f7,f181]) ).
fof(f239,plain,
! [X0,X1] : inverse(divide(divide(inverse(X0),X1),inverse(X1))) = X0,
inference(forward_demodulation,[status(thm)],[f13,f191]) ).
fof(f240,plain,
! [X0,X1] : inverse(multiply(divide(inverse(X0),X1),X1)) = X0,
inference(forward_demodulation,[status(thm)],[f17,f239]) ).
fof(f241,plain,
! [X0,X1] : multiply(X0,divide(inverse(X0),inverse(X1))) = X1,
inference(forward_demodulation,[status(thm)],[f17,f192]) ).
fof(f242,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[status(thm)],[f17,f241]) ).
fof(f282,plain,
! [X0] : inverse(multiply(inverse(X0),X0)) = sF1_fnc,
inference(paramodulation,[status(thm)],[f31,f240]) ).
fof(f331,plain,
inverse(multiply(sF2_fnc,b2)) = sF1_fnc,
inference(paramodulation,[status(thm)],[f9,f282]) ).
fof(f333,plain,
! [X0,X1] : inverse(multiply(divide(sF1_fnc,X0),X0)) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f282,f240]) ).
fof(f342,plain,
inverse(sF1_fnc) = sF1_fnc,
inference(forward_demodulation,[status(thm)],[f10,f331]) ).
fof(f344,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X0)) = multiply(inverse(X1),X1),
inference(forward_demodulation,[status(thm)],[f32,f333]) ).
fof(f345,plain,
! [X0] : sF1_fnc = multiply(inverse(X0),X0),
inference(forward_demodulation,[status(thm)],[f282,f344]) ).
fof(f391,plain,
! [X0] : multiply(X0,sF1_fnc) = X0,
inference(paramodulation,[status(thm)],[f345,f242]) ).
fof(f400,plain,
! [X0] : inverse(inverse(sF1_fnc)) = divide(X0,X0),
inference(paramodulation,[status(thm)],[f19,f391]) ).
fof(f410,plain,
! [X0] : inverse(sF1_fnc) = divide(X0,X0),
inference(forward_demodulation,[status(thm)],[f342,f400]) ).
fof(f411,plain,
! [X0] : sF1_fnc = divide(X0,X0),
inference(forward_demodulation,[status(thm)],[f342,f410]) ).
fof(f431,plain,
! [X0] : divide(X0,sF1_fnc) = X0,
inference(paramodulation,[status(thm)],[f411,f181]) ).
fof(f489,plain,
! [X0] : inverse(multiply(inverse(X0),sF1_fnc)) = X0,
inference(paramodulation,[status(thm)],[f431,f240]) ).
fof(f497,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f391,f489]) ).
fof(f502,plain,
sF0_fnc = a2,
inference(backward_demodulation,[status(thm)],[f497,f46]) ).
fof(f515,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f502,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP446-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n013.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sun Sep 20 20:12:51 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.08/0.36 % Refutation found
% 0.08/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.40 % Elapsed time: 0.041694 seconds
% 0.08/0.40 % CPU time: 0.049997 seconds
% 0.08/0.40 % Total memory used: 2.525 MB
% 0.08/0.40 % Net memory used: 2.483 MB
%------------------------------------------------------------------------------