%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP616-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 12:34:48 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.63s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 5
% Syntax : Number of formulae : 44 ( 44 unt; 2 def)
% Number of atoms : 44 ( 43 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 : 8 ( 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 : 92 ( 92 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = inverse(double_divide(B,A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),double_divide(X0,X2)) = X1,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
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] : double_divide(multiply(X0,inverse(double_divide(X1,inverse(X2)))),double_divide(X1,X0)) = X2,
inference(forward_demodulation,[status(thm)],[f5,f4]) ).
fof(f11,plain,
! [X0,X1,X2] : double_divide(multiply(X0,multiply(inverse(X1),X2)),double_divide(X2,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f10]) ).
fof(f13,plain,
! [X0,X1,X2,X3] : double_divide(multiply(double_divide(X0,X1),multiply(inverse(X2),multiply(X1,multiply(inverse(X3),X0)))),X3) = X2,
inference(paramodulation,[status(thm)],[f11,f11]) ).
fof(f14,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(X1,multiply(inverse(X2),X0))) = inverse(X2),
inference(paramodulation,[status(thm)],[f11,f5]) ).
fof(f15,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(X1,X2),multiply(inverse(X3),multiply(X2,multiply(inverse(X0),X1))))) = inverse(X3),
inference(paramodulation,[status(thm)],[f11,f14]) ).
fof(f16,plain,
! [X0,X1,X2] : multiply(double_divide(multiply(inverse(X0),X1),double_divide(X1,inverse(X2))),inverse(X0)) = inverse(X2),
inference(paramodulation,[status(thm)],[f14,f14]) ).
fof(f18,plain,
! [X0,X1,X2] : double_divide(inverse(X0),double_divide(multiply(inverse(X0),X1),double_divide(X1,inverse(X2)))) = X2,
inference(paramodulation,[status(thm)],[f14,f11]) ).
fof(f192,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(multiply(X1,multiply(inverse(inverse(X2)),X3)),double_divide(X3,X1)),inverse(X0))) = inverse(X2),
inference(paramodulation,[status(thm)],[f15,f15]) ).
fof(f212,plain,
! [X0,X1,X2,X3] : double_divide(multiply(double_divide(multiply(X0,multiply(inverse(inverse(X1)),X2)),double_divide(X2,X0)),inverse(X3)),X3) = X1,
inference(paramodulation,[status(thm)],[f15,f13]) ).
fof(f219,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X1),inverse(X0))) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f11,f192]) ).
fof(f223,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),inverse(X1)),X1) = X0,
inference(forward_demodulation,[status(thm)],[f11,f212]) ).
fof(f237,plain,
! [X0,X1,X2] : double_divide(multiply(inverse(X0),multiply(X1,X2)),double_divide(X2,X1)) = X0,
inference(paramodulation,[status(thm)],[f5,f223]) ).
fof(f278,plain,
! [X0,X1] : double_divide(inverse(X0),double_divide(inverse(X1),X1)) = X0,
inference(paramodulation,[status(thm)],[f219,f11]) ).
fof(f286,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),double_divide(inverse(X2),X2)) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f5,f278]) ).
fof(f1018,plain,
! [X0,X1] : X0 = double_divide(multiply(X1,inverse(X1)),inverse(X0)),
inference(paramodulation,[status(thm)],[f237,f286]) ).
fof(f1130,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,inverse(X1))) = inverse(X0),
inference(paramodulation,[status(thm)],[f1018,f5]) ).
fof(f1176,plain,
! [X0,X1,X2] : multiply(double_divide(inverse(X0),double_divide(multiply(X1,inverse(X1)),inverse(X2))),inverse(X0)) = inverse(X2),
inference(paramodulation,[status(thm)],[f1130,f16]) ).
fof(f1179,plain,
! [X0,X1,X2] : double_divide(inverse(X0),double_divide(inverse(X0),double_divide(multiply(X1,inverse(X1)),inverse(X2)))) = X2,
inference(paramodulation,[status(thm)],[f1130,f18]) ).
fof(f1209,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),X1),inverse(X0)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f1018,f1176]) ).
fof(f1210,plain,
! [X0,X1] : double_divide(inverse(X0),double_divide(inverse(X0),X1)) = X1,
inference(forward_demodulation,[status(thm)],[f1018,f1179]) ).
fof(f1225,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),double_divide(inverse(double_divide(X1,X0)),X2)) = X2,
inference(paramodulation,[status(thm)],[f5,f1210]) ).
fof(f1248,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),double_divide(multiply(X0,X1),X2)) = X2,
inference(forward_demodulation,[status(thm)],[f5,f1225]) ).
fof(f2028,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),inverse(X1)),X0) = X1,
inference(paramodulation,[status(thm)],[f223,f1248]) ).
fof(f2146,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f1018,f2028]) ).
fof(f2197,plain,
! [X0,X1] : multiply(double_divide(inverse(inverse(X0)),X1),X0) = inverse(X1),
inference(paramodulation,[status(thm)],[f2146,f1209]) ).
fof(f2210,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f2146,f1130]) ).
fof(f2247,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X0) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f2146,f2197]) ).
fof(f2252,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(forward_demodulation,[status(thm)],[f2146,f2210]) ).
fof(f3041,plain,
! [X0,X1] : double_divide(X0,double_divide(inverse(inverse(X1)),X0)) = X1,
inference(paramodulation,[status(thm)],[f2252,f11]) ).
fof(f3081,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f2146,f3041]) ).
fof(f3124,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X0,X1)),
inference(paramodulation,[status(thm)],[f3081,f2247]) ).
fof(f3148,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f5,f3124]) ).
fof(f3286,plain,
sF1_fnc = multiply(a,b),
inference(paramodulation,[status(thm)],[f8,f3148]) ).
fof(f3471,plain,
sF1_fnc = sF0_fnc,
inference(forward_demodulation,[status(thm)],[f7,f3286]) ).
fof(f3472,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f3471,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP616-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.57 % Computer : n008.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.58 % DateTime : Sun Sep 20 20:19:09 UTC 2026
% 0.10/0.58 % CPUTime :
% 0.14/0.59 % Drodi V4.1.1
% 0.14/0.63 % Refutation found
% 0.14/0.63 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.66 % Elapsed time: 0.077785 seconds
% 0.14/0.66 % CPU time: 0.400178 seconds
% 0.14/0.66 % Total memory used: 17.857 MB
% 0.14/0.66 % Net memory used: 17.604 MB
%------------------------------------------------------------------------------