%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP593-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 0.15s 0.38s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 7
% Syntax : Number of formulae : 44 ( 44 unt; 4 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 : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 66 ( 66 !; 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/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(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/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(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f7,definition,
sF1_fnc = inverse(a1),
introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).
fof(f8,definition,
sF0_fnc = multiply(sF1_fnc,a1),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f9,definition,
sF3_fnc = inverse(b1),
introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition]) ).
fof(f10,definition,
sF2_fnc = multiply(sF3_fnc,b1),
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(f24,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),double_divide(X1,X2)) = double_divide(double_divide(X0,X3),multiply(X3,X2)),
inference(paramodulation,[status(thm)],[f15,f14]) ).
fof(f37,plain,
! [X0,X1,X2] : X0 = double_divide(multiply(X1,double_divide(X0,multiply(X2,X1))),X2),
inference(paramodulation,[status(thm)],[f15,f16]) ).
fof(f85,plain,
! [X0,X1,X2] : X0 = double_divide(double_divide(multiply(X1,X0),X2),multiply(X2,X1)),
inference(paramodulation,[status(thm)],[f16,f37]) ).
fof(f116,plain,
! [X0] : b1 = double_divide(double_divide(sF2_fnc,X0),multiply(X0,sF3_fnc)),
inference(paramodulation,[status(thm)],[f10,f85]) ).
fof(f117,plain,
! [X0] : a1 = double_divide(double_divide(sF0_fnc,X0),multiply(X0,sF1_fnc)),
inference(paramodulation,[status(thm)],[f8,f85]) ).
fof(f162,plain,
! [X0] : multiply(multiply(X0,sF3_fnc),double_divide(sF2_fnc,X0)) = inverse(b1),
inference(paramodulation,[status(thm)],[f116,f5]) ).
fof(f163,plain,
! [X0] : multiply(multiply(X0,sF3_fnc),double_divide(sF2_fnc,X0)) = sF3_fnc,
inference(forward_demodulation,[status(thm)],[f9,f162]) ).
fof(f171,plain,
! [X0] : multiply(multiply(X0,sF1_fnc),double_divide(sF0_fnc,X0)) = inverse(a1),
inference(paramodulation,[status(thm)],[f117,f5]) ).
fof(f172,plain,
! [X0] : multiply(multiply(X0,sF1_fnc),double_divide(sF0_fnc,X0)) = sF1_fnc,
inference(forward_demodulation,[status(thm)],[f7,f171]) ).
fof(f195,plain,
! [X0] : multiply(sF3_fnc,double_divide(double_divide(sF2_fnc,X0),X0)) = sF3_fnc,
inference(paramodulation,[status(thm)],[f163,f14]) ).
fof(f206,plain,
! [X0] : multiply(sF1_fnc,double_divide(double_divide(sF0_fnc,X0),X0)) = sF1_fnc,
inference(paramodulation,[status(thm)],[f172,f14]) ).
fof(f388,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(X1,X2),double_divide(X2,X0))) = X1,
inference(paramodulation,[status(thm)],[f24,f15]) ).
fof(f401,plain,
! [X0] : double_divide(sF2_fnc,multiply(X0,sF3_fnc)) = double_divide(sF3_fnc,X0),
inference(paramodulation,[status(thm)],[f195,f37]) ).
fof(f414,plain,
! [X0] : double_divide(sF0_fnc,multiply(X0,sF1_fnc)) = double_divide(sF1_fnc,X0),
inference(paramodulation,[status(thm)],[f206,f37]) ).
fof(f440,plain,
! [X0] : multiply(multiply(X0,sF3_fnc),sF2_fnc) = inverse(double_divide(sF3_fnc,X0)),
inference(paramodulation,[status(thm)],[f401,f5]) ).
fof(f441,plain,
! [X0] : multiply(multiply(X0,sF3_fnc),sF2_fnc) = multiply(X0,sF3_fnc),
inference(forward_demodulation,[status(thm)],[f5,f440]) ).
fof(f455,plain,
! [X0] : multiply(multiply(X0,sF1_fnc),sF0_fnc) = inverse(double_divide(sF1_fnc,X0)),
inference(paramodulation,[status(thm)],[f414,f5]) ).
fof(f456,plain,
! [X0] : multiply(multiply(X0,sF1_fnc),sF0_fnc) = multiply(X0,sF1_fnc),
inference(forward_demodulation,[status(thm)],[f5,f455]) ).
fof(f498,plain,
! [X0,X1,X2] : multiply(multiply(X0,multiply(X1,double_divide(X2,X0))),X2) = X1,
inference(paramodulation,[status(thm)],[f15,f388]) ).
fof(f658,plain,
! [X0,X1] : multiply(X0,sF0_fnc) = multiply(multiply(X1,multiply(X0,double_divide(sF1_fnc,X1))),sF1_fnc),
inference(paramodulation,[status(thm)],[f498,f456]) ).
fof(f662,plain,
! [X0,X1] : multiply(X0,sF2_fnc) = multiply(multiply(X1,multiply(X0,double_divide(sF3_fnc,X1))),sF3_fnc),
inference(paramodulation,[status(thm)],[f498,f441]) ).
fof(f680,plain,
! [X0] : multiply(X0,sF0_fnc) = X0,
inference(forward_demodulation,[status(thm)],[f498,f658]) ).
fof(f681,plain,
! [X0] : multiply(X0,sF2_fnc) = X0,
inference(forward_demodulation,[status(thm)],[f498,f662]) ).
fof(f691,plain,
! [X0,X1] : multiply(multiply(X0,X1),double_divide(sF0_fnc,X0)) = X1,
inference(paramodulation,[status(thm)],[f680,f14]) ).
fof(f952,plain,
! [X0] : multiply(X0,double_divide(sF0_fnc,X0)) = sF2_fnc,
inference(paramodulation,[status(thm)],[f681,f691]) ).
fof(f953,plain,
! [X0] : multiply(X0,double_divide(sF0_fnc,X0)) = sF0_fnc,
inference(paramodulation,[status(thm)],[f680,f691]) ).
fof(f1010,plain,
sF2_fnc = sF0_fnc,
inference(forward_demodulation,[status(thm)],[f952,f953]) ).
fof(f1011,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1010,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP593-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n018.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 20:19:28 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.15/0.38 % Refutation found
% 0.15/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.45/1.61 % Elapsed time: 1.024636 seconds
% 1.45/1.61 % CPU time: 0.080341 seconds
% 1.45/1.61 % Total memory used: 4.189 MB
% 1.45/1.61 % Net memory used: 4.155 MB
%------------------------------------------------------------------------------