%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP467-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : 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 12:34:17 PM UTC 2026
% Result : Unsatisfiable 0.09s 5.38s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 28 unt; 3 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C,D] : divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))) = C,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = divide(A,inverse(B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2,X3] : divide(divide(X0,X0),divide(X1,divide(divide(X2,divide(X3,X1)),inverse(X3)))) = X2,
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(multiply(inverse(b2),b2),a2) != a2,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f7,definition,
sF2_fnc = inverse(b2),
introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition]) ).
fof(f8,definition,
sF1_fnc = multiply(sF2_fnc,b2),
introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).
fof(f9,definition,
sF0_fnc = multiply(sF1_fnc,a2),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f10,plain,
sF0_fnc != a2,
inference(definition_folding,[],[f6,f9,f8,f7]) ).
fof(f11,plain,
! [X0] : multiply(X0,b2) = divide(X0,sF2_fnc),
inference(paramodulation,[status(thm)],[f7,f5]) ).
fof(f12,plain,
! [X0,X1,X2,X3] : divide(divide(X0,X0),divide(X1,multiply(divide(X2,divide(X3,X1)),X3))) = X2,
inference(forward_demodulation,[status(thm)],[f5,f4]) ).
fof(f13,plain,
! [X0,X1,X2] : divide(multiply(sF2_fnc,b2),divide(X0,multiply(divide(X1,divide(X2,X0)),X2))) = X1,
inference(paramodulation,[status(thm)],[f11,f12]) ).
fof(f15,plain,
! [X0,X1,X2,X3,X4] : divide(divide(X0,X0),divide(multiply(divide(X1,divide(X2,X3)),X2),multiply(X1,X3))) = divide(X4,X4),
inference(paramodulation,[status(thm)],[f12,f12]) ).
fof(f19,plain,
! [X0,X1,X2] : divide(sF1_fnc,divide(X0,multiply(divide(X1,divide(X2,X0)),X2))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f13]) ).
fof(f20,plain,
! [X0,X1,X2] : divide(sF1_fnc,divide(multiply(divide(X0,divide(X1,X2)),X1),multiply(X0,X2))) = sF1_fnc,
inference(paramodulation,[status(thm)],[f19,f19]) ).
fof(f25,plain,
! [X0,X1,X2] : divide(sF1_fnc,divide(inverse(X0),multiply(divide(X1,multiply(X2,X0)),X2))) = X1,
inference(paramodulation,[status(thm)],[f5,f19]) ).
fof(f155,plain,
! [X0,X1,X2,X3] : divide(multiply(sF2_fnc,b2),divide(multiply(divide(X0,divide(X1,X2)),X1),multiply(X0,X2))) = divide(X3,X3),
inference(paramodulation,[status(thm)],[f11,f15]) ).
fof(f219,plain,
! [X0,X1,X2,X3] : divide(sF1_fnc,divide(multiply(divide(X0,divide(X1,X2)),X1),multiply(X0,X2))) = divide(X3,X3),
inference(forward_demodulation,[status(thm)],[f8,f155]) ).
fof(f220,plain,
! [X0] : sF1_fnc = divide(X0,X0),
inference(forward_demodulation,[status(thm)],[f20,f219]) ).
fof(f305,plain,
! [X0,X1] : divide(sF1_fnc,divide(X0,multiply(sF1_fnc,X1))) = divide(X1,X0),
inference(paramodulation,[status(thm)],[f220,f19]) ).
fof(f333,plain,
! [X0] : divide(sF1_fnc,sF1_fnc) = divide(X0,multiply(sF1_fnc,X0)),
inference(paramodulation,[status(thm)],[f220,f305]) ).
fof(f343,plain,
! [X0] : sF1_fnc = divide(X0,multiply(sF1_fnc,X0)),
inference(forward_demodulation,[status(thm)],[f220,f333]) ).
fof(f349,plain,
! [X0] : divide(sF1_fnc,divide(inverse(X0),multiply(sF1_fnc,sF1_fnc))) = X0,
inference(paramodulation,[status(thm)],[f343,f25]) ).
fof(f355,plain,
! [X0] : divide(sF1_fnc,inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f305,f349]) ).
fof(f356,plain,
! [X0] : multiply(sF1_fnc,X0) = X0,
inference(forward_demodulation,[status(thm)],[f5,f355]) ).
fof(f357,plain,
sF0_fnc = a2,
inference(backward_demodulation,[status(thm)],[f356,f9]) ).
fof(f364,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f357,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP467-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.36 % Computer : n007.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Sun Sep 20 20:12:10 UTC 2026
% 0.09/5.36 % CPUTime :
% 0.09/5.37 % Drodi V4.1.1
% 0.09/5.38 % Refutation found
% 0.09/5.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/5.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.40 % Elapsed time: 0.037381 seconds
% 0.14/5.40 % CPU time: 0.069826 seconds
% 0.14/5.40 % Total memory used: 2.970 MB
% 0.14/5.40 % Net memory used: 2.878 MB
%------------------------------------------------------------------------------