%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP468-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 12:34:17 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.47s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 36 unt; 4 def)
% Number of atoms : 36 ( 35 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 : 6 ( 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 : 69 ( 69 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C,D] : divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))) = C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = divide(A,inverse(B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2,X3] : divide(divide(X0,X0),divide(X1,divide(divide(X2,divide(X3,X1)),inverse(X3)))) = X2,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f6,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f7,definition,
sF1_fnc = multiply(a3,b3),
introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).
fof(f8,definition,
sF0_fnc = multiply(sF1_fnc,c3),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f9,definition,
sF3_fnc = multiply(b3,c3),
introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition]) ).
fof(f10,definition,
sF2_fnc = multiply(a3,sF3_fnc),
introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition]) ).
fof(f11,plain,
sF0_fnc != sF2_fnc,
inference(definition_folding,[],[f6,f10,f9,f8,f7]) ).
fof(f14,plain,
! [X0,X1,X2,X3] : divide(divide(X0,X0),divide(X1,multiply(divide(X2,divide(X3,X1)),X3))) = X2,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f15,plain,
! [X0,X1,X2,X3] : divide(multiply(inverse(X0),X0),divide(X1,multiply(divide(X2,divide(X3,X1)),X3))) = X2,
inference(paramodulation,[status(thm)],[f5,f14]) ).
fof(f18,plain,
! [X0,X1,X2,X3] : divide(divide(X0,X0),divide(inverse(X1),multiply(divide(X2,multiply(X3,X1)),X3))) = X2,
inference(paramodulation,[status(thm)],[f5,f14]) ).
fof(f27,plain,
! [X0,X1] : divide(divide(X0,X0),divide(inverse(c3),multiply(divide(X1,sF3_fnc),b3))) = X1,
inference(paramodulation,[status(thm)],[f9,f18]) ).
fof(f36,plain,
! [X0,X1,X2] : divide(multiply(inverse(X0),X0),divide(multiply(divide(X1,sF3_fnc),b3),multiply(X1,inverse(c3)))) = divide(X2,X2),
inference(paramodulation,[status(thm)],[f27,f15]) ).
fof(f63,plain,
! [X0,X1] : divide(X0,X0) = divide(X1,X1),
inference(paramodulation,[status(thm)],[f36,f36]) ).
fof(f125,plain,
! [X0,X1,X2,X3] : divide(divide(X0,X0),divide(X1,multiply(divide(X2,X2),X3))) = divide(X3,X1),
inference(paramodulation,[status(thm)],[f63,f14]) ).
fof(f223,plain,
! [X0,X1,X2] : divide(X0,X0) = divide(X1,multiply(divide(X2,X2),X1)),
inference(paramodulation,[status(thm)],[f63,f125]) ).
fof(f320,plain,
! [X0,X1,X2,X3] : divide(divide(X0,X0),divide(inverse(X1),multiply(divide(X2,X2),divide(X3,X3)))) = X1,
inference(paramodulation,[status(thm)],[f223,f18]) ).
fof(f324,plain,
! [X0,X1] : divide(divide(X0,X0),inverse(X1)) = X1,
inference(forward_demodulation,[status(thm)],[f125,f320]) ).
fof(f325,plain,
! [X0,X1] : multiply(divide(X0,X0),X1) = X1,
inference(forward_demodulation,[status(thm)],[f5,f324]) ).
fof(f327,plain,
! [X0,X1,X2] : divide(divide(X0,X0),divide(X1,X2)) = divide(X2,X1),
inference(backward_demodulation,[status(thm)],[f325,f125]) ).
fof(f665,plain,
! [X0] : divide(multiply(divide(X0,sF3_fnc),b3),inverse(c3)) = X0,
inference(backward_demodulation,[status(thm)],[f327,f27]) ).
fof(f667,plain,
! [X0,X1,X2] : divide(multiply(divide(X0,divide(X1,X2)),X1),X2) = X0,
inference(backward_demodulation,[status(thm)],[f327,f14]) ).
fof(f683,plain,
! [X0,X1,X2,X3] : divide(divide(X0,X0),divide(X1,X2)) = divide(divide(X2,X1),divide(X3,X3)),
inference(paramodulation,[status(thm)],[f327,f327]) ).
fof(f699,plain,
! [X0] : multiply(multiply(divide(X0,sF3_fnc),b3),c3) = X0,
inference(forward_demodulation,[status(thm)],[f5,f665]) ).
fof(f702,plain,
! [X0,X1,X2] : divide(X0,X1) = divide(divide(X0,X1),divide(X2,X2)),
inference(forward_demodulation,[status(thm)],[f327,f683]) ).
fof(f791,plain,
! [X0,X1,X2,X3] : divide(multiply(divide(X0,divide(X1,X2)),X1),X2) = divide(X0,divide(X3,X3)),
inference(paramodulation,[status(thm)],[f667,f702]) ).
fof(f822,plain,
! [X0,X1] : X0 = divide(X0,divide(X1,X1)),
inference(forward_demodulation,[status(thm)],[f667,f791]) ).
fof(f850,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(paramodulation,[status(thm)],[f822,f667]) ).
fof(f1082,plain,
divide(sF2_fnc,sF3_fnc) = a3,
inference(paramodulation,[status(thm)],[f10,f850]) ).
fof(f1161,plain,
multiply(multiply(a3,b3),c3) = sF2_fnc,
inference(paramodulation,[status(thm)],[f1082,f699]) ).
fof(f1169,plain,
multiply(sF1_fnc,c3) = sF2_fnc,
inference(forward_demodulation,[status(thm)],[f7,f1161]) ).
fof(f1170,plain,
sF0_fnc = sF2_fnc,
inference(forward_demodulation,[status(thm)],[f8,f1169]) ).
fof(f1171,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1170,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP468-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n008.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:14:55 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.47 % Refutation found
% 0.09/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.98/1.69 % Elapsed time: 1.099177 seconds
% 6.98/1.69 % CPU time: 0.570817 seconds
% 6.98/1.69 % Total memory used: 15.167 MB
% 6.98/1.69 % Net memory used: 14.798 MB
%------------------------------------------------------------------------------