%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP117-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/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 12:32:33 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.36s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 18 unt; 1 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : multiply(X,multiply(multiply(X,multiply(multiply(X,Y),Z)),multiply(identity,multiply(Z,Z)))) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
multiply(a,identity) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),X2)),multiply(identity,multiply(X2,X2)))) = X1,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f4,plain,
multiply(a,identity) != a,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f5,definition,
sF0_fnc = multiply(a,identity),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f6,plain,
sF0_fnc != a,
inference(definition_folding,[],[f4,f5]) ).
fof(f9,plain,
! [X0] : multiply(a,multiply(multiply(a,multiply(sF0_fnc,X0)),multiply(identity,multiply(X0,X0)))) = identity,
inference(paramodulation,[status(thm)],[f5,f3]) ).
fof(f11,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(multiply(identity,X2),multiply(identity,X2))))),X2)) = X1,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f55,plain,
! [X0] : multiply(a,multiply(identity,X0)) = multiply(sF0_fnc,multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f9,f11]) ).
fof(f57,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),multiply(identity,X2)),
inference(paramodulation,[status(thm)],[f3,f11]) ).
fof(f101,plain,
! [X0,X1] : multiply(a,multiply(identity,multiply(multiply(identity,multiply(multiply(identity,X0),multiply(identity,multiply(multiply(identity,X1),multiply(identity,X1))))),X1))) = multiply(sF0_fnc,X0),
inference(paramodulation,[status(thm)],[f11,f55]) ).
fof(f109,plain,
! [X0] : multiply(a,X0) = multiply(sF0_fnc,X0),
inference(forward_demodulation,[status(thm)],[f11,f101]) ).
fof(f146,plain,
! [X0,X1,X2] : multiply(X0,multiply(X0,multiply(multiply(multiply(X0,X1),X2),multiply(X2,X2)))) = X1,
inference(backward_demodulation,[status(thm)],[f57,f3]) ).
fof(f155,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(multiply(X0,X1),multiply(identity,identity)))) = X1,
inference(paramodulation,[status(thm)],[f57,f146]) ).
fof(f171,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(X0,multiply(X1,identity)))) = X1,
inference(forward_demodulation,[status(thm)],[f57,f155]) ).
fof(f184,plain,
! [X0] : multiply(X0,multiply(X0,multiply(X0,multiply(a,identity)))) = sF0_fnc,
inference(paramodulation,[status(thm)],[f109,f171]) ).
fof(f197,plain,
a = sF0_fnc,
inference(forward_demodulation,[status(thm)],[f171,f184]) ).
fof(f198,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f197,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP117-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n018.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 19:59:59 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.36 % Refutation found
% 0.09/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.40 % Elapsed time: 0.037699 seconds
% 0.09/0.40 % CPU time: 0.033765 seconds
% 0.09/0.40 % Total memory used: 1.269 MB
% 0.09/0.40 % Net memory used: 1.203 MB
%------------------------------------------------------------------------------