%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP560-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 12:34:40 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.38s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 25 unt; 2 def)
% Number of atoms : 25 ( 24 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(A,inverse(divide(divide(B,C),divide(A,C)))) = B,
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(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : divide(X0,inverse(divide(divide(X1,X2),divide(X0,X2)))) = X1,
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(a,b) != multiply(b,a),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f7,definition,
sF0_fnc = multiply(a,b),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f8,definition,
sF1_fnc = multiply(b,a),
introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).
fof(f9,plain,
sF0_fnc != sF1_fnc,
inference(definition_folding,[],[f6,f8,f7]) ).
fof(f10,plain,
! [X0,X1,X2] : multiply(X0,divide(divide(X1,X2),divide(X0,X2))) = X1,
inference(forward_demodulation,[status(thm)],[f5,f4]) ).
fof(f11,plain,
! [X0,X1,X2] : multiply(X0,divide(multiply(X1,X2),divide(X0,inverse(X2)))) = X1,
inference(paramodulation,[status(thm)],[f5,f10]) ).
fof(f13,plain,
! [X0,X1,X2] : multiply(X0,divide(multiply(X1,X2),multiply(X0,X2))) = X1,
inference(forward_demodulation,[status(thm)],[f5,f11]) ).
fof(f15,plain,
! [X0] : multiply(X0,divide(sF1_fnc,multiply(X0,a))) = b,
inference(paramodulation,[status(thm)],[f8,f13]) ).
fof(f16,plain,
! [X0] : multiply(X0,divide(sF0_fnc,multiply(X0,b))) = a,
inference(paramodulation,[status(thm)],[f7,f13]) ).
fof(f24,plain,
! [X0,X1] : multiply(X0,divide(multiply(X1,divide(sF1_fnc,multiply(X0,a))),b)) = X1,
inference(paramodulation,[status(thm)],[f15,f13]) ).
fof(f58,plain,
! [X0] : multiply(X0,divide(b,b)) = X0,
inference(paramodulation,[status(thm)],[f15,f24]) ).
fof(f68,plain,
! [X0,X1] : multiply(X0,divide(multiply(X1,divide(b,b)),X0)) = X1,
inference(paramodulation,[status(thm)],[f58,f13]) ).
fof(f70,plain,
! [X0,X1] : multiply(X0,divide(X1,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f58,f68]) ).
fof(f77,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f5,f70]) ).
fof(f109,plain,
! [X0] : multiply(inverse(divide(b,b)),X0) = X0,
inference(paramodulation,[status(thm)],[f58,f77]) ).
fof(f192,plain,
a = divide(sF0_fnc,multiply(inverse(divide(b,b)),b)),
inference(paramodulation,[status(thm)],[f16,f109]) ).
fof(f224,plain,
a = divide(sF0_fnc,b),
inference(forward_demodulation,[status(thm)],[f109,f192]) ).
fof(f241,plain,
multiply(b,a) = sF0_fnc,
inference(paramodulation,[status(thm)],[f224,f70]) ).
fof(f244,plain,
sF1_fnc = sF0_fnc,
inference(forward_demodulation,[status(thm)],[f8,f241]) ).
fof(f245,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f244,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP560-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n017.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 20:11:57 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.38 % Refutation found
% 0.09/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.39 % Elapsed time: 0.021795 seconds
% 0.09/0.39 % CPU time: 0.044768 seconds
% 0.09/0.39 % Total memory used: 1.990 MB
% 0.09/0.39 % Net memory used: 1.982 MB
%------------------------------------------------------------------------------