%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP592-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 12:34:45 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 5
% Syntax : Number of formulae : 46 ( 46 unt; 2 def)
% Number of atoms : 46 ( 45 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 : 82 ( 82 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B) = C,
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(double_divide(X0,X1),inverse(double_divide(X0,inverse(X2))))),X1) = X2,
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(inverse(double_divide(X0,inverse(X1))),double_divide(X0,X2)),X2) = X1,
inference(forward_demodulation,[status(thm)],[f5,f4]) ).
fof(f11,plain,
! [X0,X1,X2] : double_divide(multiply(multiply(inverse(X0),X1),double_divide(X1,X2)),X2) = X0,
inference(forward_demodulation,[status(thm)],[f5,f10]) ).
fof(f13,plain,
! [X0,X1,X2,X3] : double_divide(multiply(multiply(inverse(X0),multiply(multiply(inverse(X1),X2),double_divide(X2,X3))),X1),X3) = X0,
inference(paramodulation,[status(thm)],[f11,f11]) ).
fof(f14,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(inverse(X1),X2),double_divide(X2,X0))) = inverse(X1),
inference(paramodulation,[status(thm)],[f11,f5]) ).
fof(f15,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(inverse(X1),double_divide(multiply(multiply(inverse(X1),X2),double_divide(X2,inverse(X3))),X0))) = inverse(X3),
inference(paramodulation,[status(thm)],[f14,f14]) ).
fof(f18,plain,
! [X0,X1,X2,X3] : double_divide(multiply(inverse(X0),double_divide(multiply(multiply(inverse(X0),X1),double_divide(X1,inverse(X2))),X3)),X3) = X2,
inference(paramodulation,[status(thm)],[f14,f11]) ).
fof(f108,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),X0),inverse(X1)) = X1,
inference(paramodulation,[status(thm)],[f14,f13]) ).
fof(f129,plain,
! [X0,X1,X2] : double_divide(multiply(multiply(X0,X1),double_divide(X1,X0)),inverse(X2)) = X2,
inference(paramodulation,[status(thm)],[f5,f108]) ).
fof(f130,plain,
! [X0,X1,X2] : double_divide(multiply(inverse(X0),X0),multiply(X1,X2)) = double_divide(X2,X1),
inference(paramodulation,[status(thm)],[f5,f108]) ).
fof(f140,plain,
! [X0,X1] : multiply(inverse(X0),multiply(inverse(X1),X1)) = inverse(X0),
inference(paramodulation,[status(thm)],[f108,f5]) ).
fof(f144,plain,
! [X0,X1] : double_divide(inverse(multiply(inverse(X0),X0)),inverse(X1)) = X1,
inference(paramodulation,[status(thm)],[f140,f108]) ).
fof(f235,plain,
! [X0,X1] : multiply(inverse(X0),multiply(inverse(X1),X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f129,f15]) ).
fof(f330,plain,
! [X0,X1,X2] : double_divide(multiply(inverse(X0),X0),inverse(X1)) = double_divide(multiply(inverse(X1),X2),inverse(X2)),
inference(paramodulation,[status(thm)],[f235,f130]) ).
fof(f335,plain,
! [X0,X1] : X0 = double_divide(multiply(inverse(X0),X1),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f108,f330]) ).
fof(f339,plain,
! [X0,X1] : X0 = double_divide(inverse(X1),inverse(multiply(inverse(X1),X0))),
inference(paramodulation,[status(thm)],[f235,f335]) ).
fof(f364,plain,
! [X0,X1] : X0 = multiply(inverse(multiply(inverse(X1),X1)),X0),
inference(paramodulation,[status(thm)],[f144,f339]) ).
fof(f408,plain,
! [X0,X1] : multiply(inverse(X0),X0) = double_divide(X1,inverse(X1)),
inference(paramodulation,[status(thm)],[f364,f335]) ).
fof(f445,plain,
! [X0,X1] : X0 = multiply(inverse(double_divide(X1,inverse(X1))),X0),
inference(paramodulation,[status(thm)],[f408,f364]) ).
fof(f446,plain,
! [X0,X1] : X0 = double_divide(inverse(X0),inverse(double_divide(X1,inverse(X1)))),
inference(paramodulation,[status(thm)],[f408,f339]) ).
fof(f479,plain,
! [X0,X1] : X0 = multiply(multiply(inverse(X1),X1),X0),
inference(forward_demodulation,[status(thm)],[f5,f445]) ).
fof(f480,plain,
! [X0,X1] : X0 = double_divide(inverse(X0),multiply(inverse(X1),X1)),
inference(forward_demodulation,[status(thm)],[f5,f446]) ).
fof(f498,plain,
! [X0,X1] : multiply(X0,double_divide(X1,X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f479,f14]) ).
fof(f499,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X1) = X0,
inference(paramodulation,[status(thm)],[f479,f11]) ).
fof(f763,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f480,f498]) ).
fof(f777,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f479,f763]) ).
fof(f785,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f5,f777]) ).
fof(f797,plain,
! [X0,X1] : X0 = double_divide(inverse(inverse(X1)),inverse(multiply(X1,X0))),
inference(paramodulation,[status(thm)],[f777,f339]) ).
fof(f820,plain,
! [X0,X1] : X0 = double_divide(X1,inverse(multiply(X1,X0))),
inference(forward_demodulation,[status(thm)],[f777,f797]) ).
fof(f839,plain,
double_divide(a,b) = inverse(sF1_fnc),
inference(paramodulation,[status(thm)],[f8,f785]) ).
fof(f840,plain,
double_divide(b,a) = inverse(sF0_fnc),
inference(paramodulation,[status(thm)],[f7,f785]) ).
fof(f1223,plain,
double_divide(inverse(sF0_fnc),a) = b,
inference(paramodulation,[status(thm)],[f840,f499]) ).
fof(f1407,plain,
! [X0,X1] : X0 = double_divide(X1,double_divide(X0,X1)),
inference(forward_demodulation,[status(thm)],[f785,f820]) ).
fof(f1411,plain,
inverse(sF0_fnc) = double_divide(a,b),
inference(paramodulation,[status(thm)],[f1223,f1407]) ).
fof(f1447,plain,
inverse(sF0_fnc) = inverse(sF1_fnc),
inference(forward_demodulation,[status(thm)],[f839,f1411]) ).
fof(f1576,plain,
! [X0,X1,X2] : double_divide(multiply(inverse(X0),double_divide(multiply(multiply(inverse(X0),X1),double_divide(X1,inverse(sF0_fnc))),X2)),X2) = sF1_fnc,
inference(paramodulation,[status(thm)],[f1447,f18]) ).
fof(f1610,plain,
sF0_fnc = sF1_fnc,
inference(forward_demodulation,[status(thm)],[f18,f1576]) ).
fof(f1611,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1610,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP592-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n002.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:20:01 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.39 % Elapsed time: 0.031914 seconds
% 0.13/0.39 % CPU time: 0.105772 seconds
% 0.13/0.39 % Total memory used: 5.784 MB
% 0.13/0.39 % Net memory used: 5.689 MB
%------------------------------------------------------------------------------