%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP450-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 5.43s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 8
% Syntax : Number of formulae : 68 ( 68 unt; 4 def)
% Number of atoms : 68 ( 67 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 118 ( 118 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),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(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,plain,
! [X0,X1,X2] : divide(X0,divide(divide(divide(divide(X1,X1),X1),X2),divide(divide(divide(X1,X1),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(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f9,definition,
sF1_fnc = multiply(a3,b3),
introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).
fof(f10,definition,
sF0_fnc = multiply(sF1_fnc,c3),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f11,definition,
sF3_fnc = multiply(b3,c3),
introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition]) ).
fof(f12,definition,
sF2_fnc = multiply(a3,sF3_fnc),
introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition]) ).
fof(f13,plain,
sF0_fnc != sF2_fnc,
inference(definition_folding,[],[f8,f12,f11,f10,f9]) ).
fof(f14,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(divide(X1,X1),X2)) = divide(X0,multiply(divide(X3,X3),X2)),
inference(paramodulation,[status(thm)],[f6,f6]) ).
fof(f20,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,divide(multiply(divide(divide(X1,X1),X2),X2),X3)) = divide(X0,multiply(divide(X4,X4),X3)),
inference(paramodulation,[status(thm)],[f6,f14]) ).
fof(f345,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f7,f6]) ).
fof(f348,plain,
! [X0,X1] : inverse(X0) = divide(inverse(divide(X1,X1)),X0),
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f361,plain,
! [X0,X1] : multiply(divide(X0,X0),X1) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f7,f345]) ).
fof(f363,plain,
! [X0,X1] : inverse(X0) = divide(multiply(inverse(X1),X1),X0),
inference(paramodulation,[status(thm)],[f345,f7]) ).
fof(f424,plain,
! [X0,X1,X2] : divide(X0,divide(divide(inverse(X1),X2),divide(divide(divide(X1,X1),X0),X2))) = X1,
inference(forward_demodulation,[status(thm)],[f7,f5]) ).
fof(f425,plain,
! [X0,X1,X2] : divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[status(thm)],[f7,f424]) ).
fof(f430,plain,
! [X0,X1,X2] : inverse(divide(divide(inverse(X0),X1),divide(inverse(divide(X2,X2)),X1))) = X0,
inference(paramodulation,[status(thm)],[f7,f425]) ).
fof(f431,plain,
! [X0,X1] : divide(X0,inverse(divide(inverse(X0),inverse(X1)))) = X1,
inference(paramodulation,[status(thm)],[f7,f425]) ).
fof(f435,plain,
! [X0,X1,X2,X3] : divide(X0,divide(X1,divide(inverse(X0),divide(divide(inverse(X1),X2),divide(inverse(inverse(X3)),X2))))) = X3,
inference(paramodulation,[status(thm)],[f425,f425]) ).
fof(f436,plain,
! [X0,X1,X2] : divide(X0,divide(multiply(inverse(X1),X2),divide(inverse(X0),inverse(X2)))) = X1,
inference(paramodulation,[status(thm)],[f345,f425]) ).
fof(f451,plain,
! [X0,X1] : inverse(divide(divide(inverse(X0),X1),inverse(X1))) = X0,
inference(forward_demodulation,[status(thm)],[f348,f430]) ).
fof(f452,plain,
! [X0,X1] : inverse(multiply(divide(inverse(X0),X1),X1)) = X0,
inference(forward_demodulation,[status(thm)],[f345,f451]) ).
fof(f453,plain,
! [X0,X1] : multiply(X0,divide(inverse(X0),inverse(X1))) = X1,
inference(forward_demodulation,[status(thm)],[f345,f431]) ).
fof(f454,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[status(thm)],[f345,f453]) ).
fof(f455,plain,
! [X0,X1,X2] : divide(X0,divide(multiply(inverse(X1),X2),multiply(inverse(X0),X2))) = X1,
inference(forward_demodulation,[status(thm)],[f345,f436]) ).
fof(f473,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X0)) = divide(X1,X1),
inference(paramodulation,[status(thm)],[f348,f452]) ).
fof(f536,plain,
! [X0,X1] : divide(X0,X0) = divide(X1,X1),
inference(paramodulation,[status(thm)],[f473,f473]) ).
fof(f616,plain,
! [X0,X1] : divide(X0,divide(X1,X1)) = X0,
inference(paramodulation,[status(thm)],[f536,f455]) ).
fof(f674,plain,
! [X0,X1] : divide(X0,inverse(divide(X1,X1))) = X0,
inference(paramodulation,[status(thm)],[f7,f616]) ).
fof(f685,plain,
! [X0,X1,X2] : divide(X0,divide(divide(inverse(X1),divide(X2,X2)),inverse(X0))) = X1,
inference(paramodulation,[status(thm)],[f616,f425]) ).
fof(f703,plain,
! [X0,X1] : multiply(X0,divide(X1,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f345,f674]) ).
fof(f705,plain,
! [X0,X1,X2] : divide(X0,multiply(divide(inverse(X1),divide(X2,X2)),X0)) = X1,
inference(forward_demodulation,[status(thm)],[f345,f685]) ).
fof(f706,plain,
! [X0,X1] : divide(X0,multiply(inverse(X1),X0)) = X1,
inference(forward_demodulation,[status(thm)],[f616,f705]) ).
fof(f736,plain,
! [X0,X1] : inverse(divide(inverse(X0),divide(X1,X1))) = X0,
inference(paramodulation,[status(thm)],[f703,f452]) ).
fof(f742,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f616,f736]) ).
fof(f747,plain,
! [X0,X1] : multiply(divide(X0,X0),X1) = X1,
inference(backward_demodulation,[status(thm)],[f742,f361]) ).
fof(f754,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(paramodulation,[status(thm)],[f742,f454]) ).
fof(f1037,plain,
! [X0,X1,X2,X3] : divide(X0,divide(X1,divide(inverse(X0),divide(divide(inverse(X1),X2),divide(X3,X2))))) = X3,
inference(forward_demodulation,[status(thm)],[f742,f435]) ).
fof(f1049,plain,
! [X0,X1] : divide(X0,divide(X1,inverse(X0))) = inverse(X1),
inference(paramodulation,[status(thm)],[f616,f1037]) ).
fof(f1125,plain,
! [X0,X1] : divide(X0,multiply(X1,X0)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f345,f1049]) ).
fof(f1349,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(multiply(inverse(X1),X1),X2)) = divide(X0,multiply(divide(X3,X3),X2)),
inference(forward_demodulation,[status(thm)],[f7,f20]) ).
fof(f1350,plain,
! [X0,X1,X2] : multiply(X0,inverse(X1)) = divide(X0,multiply(divide(X2,X2),X1)),
inference(forward_demodulation,[status(thm)],[f363,f1349]) ).
fof(f1352,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,X1),
inference(forward_demodulation,[status(thm)],[f747,f1350]) ).
fof(f1391,plain,
! [X0,X1] : divide(multiply(inverse(inverse(X0)),X1),X1) = X0,
inference(paramodulation,[status(thm)],[f454,f706]) ).
fof(f1416,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f742,f1391]) ).
fof(f1433,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(paramodulation,[status(thm)],[f345,f1416]) ).
fof(f1437,plain,
divide(sF0_fnc,c3) = sF1_fnc,
inference(paramodulation,[status(thm)],[f10,f1416]) ).
fof(f1450,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f1352,f1433]) ).
fof(f1582,plain,
multiply(inverse(b3),sF3_fnc) = c3,
inference(paramodulation,[status(thm)],[f11,f754]) ).
fof(f1585,plain,
multiply(inverse(a3),sF1_fnc) = b3,
inference(paramodulation,[status(thm)],[f9,f754]) ).
fof(f1615,plain,
! [X0] : divide(b3,divide(multiply(inverse(X0),sF3_fnc),c3)) = X0,
inference(paramodulation,[status(thm)],[f1582,f455]) ).
fof(f1640,plain,
divide(b3,sF1_fnc) = inverse(a3),
inference(paramodulation,[status(thm)],[f1585,f1416]) ).
fof(f1704,plain,
! [X0,X1] : divide(X0,X1) = inverse(divide(X1,X0)),
inference(paramodulation,[status(thm)],[f1450,f1125]) ).
fof(f1893,plain,
! [X0] : divide(b3,divide(multiply(X0,sF3_fnc),c3)) = inverse(X0),
inference(paramodulation,[status(thm)],[f742,f1615]) ).
fof(f2320,plain,
! [X0] : divide(b3,divide(X0,c3)) = inverse(divide(X0,sF3_fnc)),
inference(paramodulation,[status(thm)],[f1450,f1893]) ).
fof(f2336,plain,
! [X0] : divide(b3,divide(X0,c3)) = divide(sF3_fnc,X0),
inference(forward_demodulation,[status(thm)],[f1704,f2320]) ).
fof(f2345,plain,
divide(b3,sF1_fnc) = divide(sF3_fnc,sF0_fnc),
inference(paramodulation,[status(thm)],[f1437,f2336]) ).
fof(f2359,plain,
inverse(a3) = divide(sF3_fnc,sF0_fnc),
inference(forward_demodulation,[status(thm)],[f1640,f2345]) ).
fof(f2396,plain,
divide(sF0_fnc,sF3_fnc) = inverse(inverse(a3)),
inference(paramodulation,[status(thm)],[f2359,f1704]) ).
fof(f2400,plain,
divide(sF0_fnc,sF3_fnc) = a3,
inference(forward_demodulation,[status(thm)],[f742,f2396]) ).
fof(f2404,plain,
multiply(a3,sF3_fnc) = sF0_fnc,
inference(paramodulation,[status(thm)],[f2400,f1450]) ).
fof(f2407,plain,
sF2_fnc = sF0_fnc,
inference(forward_demodulation,[status(thm)],[f12,f2404]) ).
fof(f2408,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f2407,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP450-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n015.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sun Sep 20 20:16:56 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.38 % Drodi V4.1.1
% 0.15/5.43 % Refutation found
% 0.15/5.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/5.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/5.44 % Elapsed time: 0.063673 seconds
% 0.15/5.44 % CPU time: 0.382117 seconds
% 0.15/5.44 % Total memory used: 17.184 MB
% 0.15/5.44 % Net memory used: 16.712 MB
%------------------------------------------------------------------------------