%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP564-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 12:34:41 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.37s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 30 unt; 2 def)
% Number of atoms : 30 ( 29 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 : 7 ( 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 : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(divide(divide(A,inverse(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(divide(divide(X0,inverse(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] : divide(divide(multiply(X0,X1),X2),divide(X0,X2)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f4]) ).
fof(f11,plain,
! [X0,X1,X2] : divide(multiply(multiply(X0,X1),X2),divide(X0,inverse(X2))) = X1,
inference(paramodulation,[status(thm)],[f5,f10]) ).
fof(f13,plain,
! [X0] : divide(divide(sF0_fnc,X0),divide(a,X0)) = b,
inference(paramodulation,[status(thm)],[f7,f10]) ).
fof(f14,plain,
! [X0,X1,X2,X3] : divide(divide(multiply(divide(multiply(X0,X1),X2),X3),divide(X0,X2)),X1) = X3,
inference(paramodulation,[status(thm)],[f10,f10]) ).
fof(f16,plain,
! [X0,X1,X2] : divide(multiply(multiply(X0,X1),X2),multiply(X0,X2)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f11]) ).
fof(f66,plain,
! [X0] : divide(multiply(multiply(b,X0),a),sF1_fnc) = X0,
inference(paramodulation,[status(thm)],[f8,f16]) ).
fof(f68,plain,
! [X0,X1,X2] : divide(X0,divide(multiply(X1,X0),multiply(X1,X2))) = X2,
inference(paramodulation,[status(thm)],[f16,f10]) ).
fof(f71,plain,
! [X0] : divide(X0,divide(multiply(b,X0),sF1_fnc)) = a,
inference(paramodulation,[status(thm)],[f66,f10]) ).
fof(f94,plain,
divide(a,divide(a,divide(multiply(b,sF0_fnc),sF1_fnc))) = b,
inference(paramodulation,[status(thm)],[f71,f13]) ).
fof(f130,plain,
! [X0,X1,X2,X3] : multiply(divide(multiply(divide(multiply(X0,inverse(X1)),X2),X3),divide(X0,X2)),X1) = X3,
inference(paramodulation,[status(thm)],[f5,f14]) ).
fof(f232,plain,
! [X0,X1,X2,X3] : divide(divide(X0,divide(divide(multiply(X1,inverse(X2)),X3),divide(X1,X3))),X0) = X2,
inference(paramodulation,[status(thm)],[f130,f14]) ).
fof(f245,plain,
! [X0,X1] : divide(divide(X0,inverse(X1)),X0) = X1,
inference(forward_demodulation,[status(thm)],[f10,f232]) ).
fof(f246,plain,
! [X0,X1] : divide(multiply(X0,X1),X0) = X1,
inference(forward_demodulation,[status(thm)],[f5,f245]) ).
fof(f434,plain,
! [X0,X1] : divide(X0,divide(X1,X1)) = X0,
inference(paramodulation,[status(thm)],[f246,f10]) ).
fof(f457,plain,
! [X0,X1] : X0 = multiply(divide(X1,X1),X0),
inference(paramodulation,[status(thm)],[f246,f434]) ).
fof(f574,plain,
! [X0,X1,X2] : divide(X0,divide(multiply(divide(X1,X1),X0),X2)) = X2,
inference(paramodulation,[status(thm)],[f457,f68]) ).
fof(f591,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f457,f574]) ).
fof(f595,plain,
divide(multiply(b,sF0_fnc),sF1_fnc) = b,
inference(backward_demodulation,[status(thm)],[f591,f94]) ).
fof(f1144,plain,
divide(b,divide(b,sF1_fnc)) = sF0_fnc,
inference(paramodulation,[status(thm)],[f595,f10]) ).
fof(f1150,plain,
sF1_fnc = sF0_fnc,
inference(forward_demodulation,[status(thm)],[f591,f1144]) ).
fof(f1151,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1150,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP564-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n007.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 20:14:50 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.08/0.37 % Refutation found
% 0.08/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.39 % Elapsed time: 0.042259 seconds
% 0.13/0.39 % CPU time: 0.123213 seconds
% 0.13/0.39 % Total memory used: 5.647 MB
% 0.13/0.39 % Net memory used: 5.583 MB
%------------------------------------------------------------------------------