%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP595-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 0.43s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 7
% Syntax : Number of formulae : 41 ( 41 unt; 4 def)
% Number of atoms : 41 ( 40 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 : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 62 ( 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(C,B)))))) = C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = inverse(double_divide(B,A)),
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] : inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(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(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(f12,plain,
! [X0,X1,X2] : multiply(inverse(double_divide(X0,inverse(double_divide(X1,X2)))),double_divide(X0,X2)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f4]) ).
fof(f13,plain,
! [X0,X1,X2] : multiply(multiply(inverse(double_divide(X0,X1)),X2),double_divide(X2,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f5,f12]) ).
fof(f14,plain,
! [X0,X1,X2] : multiply(multiply(multiply(X0,X1),X2),double_divide(X2,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f13]) ).
fof(f15,plain,
! [X0,X1,X2] : multiply(X0,double_divide(double_divide(X1,X2),multiply(X2,X0))) = X1,
inference(paramodulation,[status(thm)],[f14,f14]) ).
fof(f16,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),double_divide(X1,multiply(multiply(X2,X0),X3))) = double_divide(X3,X2),
inference(paramodulation,[status(thm)],[f14,f14]) ).
fof(f18,plain,
! [X0] : multiply(multiply(sF0_fnc,X0),double_divide(X0,sF1_fnc)) = c3,
inference(paramodulation,[status(thm)],[f8,f14]) ).
fof(f19,plain,
! [X0] : multiply(multiply(sF2_fnc,X0),double_divide(X0,a3)) = sF3_fnc,
inference(paramodulation,[status(thm)],[f10,f14]) ).
fof(f20,plain,
! [X0] : multiply(multiply(sF1_fnc,X0),double_divide(X0,a3)) = b3,
inference(paramodulation,[status(thm)],[f7,f14]) ).
fof(f24,plain,
! [X0,X1] : multiply(multiply(c3,X0),double_divide(X0,multiply(sF0_fnc,X1))) = double_divide(X1,sF1_fnc),
inference(paramodulation,[status(thm)],[f18,f14]) ).
fof(f26,plain,
! [X0,X1] : multiply(multiply(sF3_fnc,X0),double_divide(X0,multiply(sF2_fnc,X1))) = double_divide(X1,a3),
inference(paramodulation,[status(thm)],[f19,f14]) ).
fof(f29,plain,
! [X0,X1] : multiply(multiply(b3,X0),double_divide(X0,multiply(sF1_fnc,X1))) = double_divide(X1,a3),
inference(paramodulation,[status(thm)],[f20,f14]) ).
fof(f90,plain,
! [X0,X1,X2] : X0 = double_divide(multiply(X1,double_divide(X0,multiply(X2,X1))),X2),
inference(paramodulation,[status(thm)],[f15,f16]) ).
fof(f159,plain,
! [X0] : X0 = double_divide(multiply(sF3_fnc,double_divide(X0,sF2_fnc)),a3),
inference(paramodulation,[status(thm)],[f15,f26]) ).
fof(f273,plain,
! [X0] : X0 = double_divide(double_divide(multiply(b3,X0),a3),sF1_fnc),
inference(paramodulation,[status(thm)],[f29,f90]) ).
fof(f274,plain,
! [X0] : X0 = double_divide(double_divide(multiply(c3,X0),sF1_fnc),sF0_fnc),
inference(paramodulation,[status(thm)],[f24,f90]) ).
fof(f277,plain,
! [X0,X1,X2] : X0 = double_divide(double_divide(multiply(X1,X0),X2),multiply(X2,X1)),
inference(paramodulation,[status(thm)],[f16,f90]) ).
fof(f347,plain,
c3 = double_divide(double_divide(sF3_fnc,a3),sF1_fnc),
inference(paramodulation,[status(thm)],[f9,f273]) ).
fof(f382,plain,
! [X0] : multiply(sF0_fnc,double_divide(multiply(c3,X0),sF1_fnc)) = inverse(X0),
inference(paramodulation,[status(thm)],[f274,f5]) ).
fof(f487,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),double_divide(multiply(X1,X2),X0)) = inverse(X2),
inference(paramodulation,[status(thm)],[f277,f5]) ).
fof(f1247,plain,
! [X0,X1,X2] : multiply(inverse(X0),double_divide(double_divide(multiply(X1,X0),X2),X2)) = X1,
inference(paramodulation,[status(thm)],[f487,f14]) ).
fof(f1467,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),multiply(X2,inverse(X1))) = double_divide(X0,X2),
inference(paramodulation,[status(thm)],[f1247,f90]) ).
fof(f2728,plain,
! [X0,X1,X2] : multiply(X0,X1) = double_divide(multiply(inverse(X1),double_divide(X0,X2)),X2),
inference(paramodulation,[status(thm)],[f1467,f90]) ).
fof(f2901,plain,
! [X0,X1,X2] : multiply(double_divide(multiply(X0,X1),X2),X1) = double_divide(X0,X2),
inference(paramodulation,[status(thm)],[f1247,f2728]) ).
fof(f3062,plain,
! [X0] : multiply(X0,double_divide(X0,sF2_fnc)) = double_divide(sF3_fnc,a3),
inference(paramodulation,[status(thm)],[f159,f2901]) ).
fof(f4140,plain,
multiply(sF0_fnc,double_divide(double_divide(sF3_fnc,a3),sF1_fnc)) = inverse(double_divide(c3,sF2_fnc)),
inference(paramodulation,[status(thm)],[f3062,f382]) ).
fof(f4203,plain,
multiply(sF0_fnc,c3) = inverse(double_divide(c3,sF2_fnc)),
inference(forward_demodulation,[status(thm)],[f347,f4140]) ).
fof(f4204,plain,
multiply(sF0_fnc,c3) = multiply(sF2_fnc,c3),
inference(forward_demodulation,[status(thm)],[f5,f4203]) ).
fof(f4413,plain,
! [X0] : multiply(inverse(c3),double_divide(double_divide(multiply(sF2_fnc,c3),X0),X0)) = sF0_fnc,
inference(paramodulation,[status(thm)],[f4204,f1247]) ).
fof(f4428,plain,
sF2_fnc = sF0_fnc,
inference(forward_demodulation,[status(thm)],[f1247,f4413]) ).
fof(f4429,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f4428,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP595-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n004.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 20:17:34 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.13/0.43 % Refutation found
% 0.13/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.09/1.65 % Elapsed time: 1.075113 seconds
% 5.09/1.65 % CPU time: 0.520033 seconds
% 5.09/1.65 % Total memory used: 20.996 MB
% 5.09/1.65 % Net memory used: 20.677 MB
%------------------------------------------------------------------------------