%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP115-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 0.12s 0.36s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 2
% Syntax : Number of formulae : 20 ( 20 unt; 0 def)
% Number of atoms : 20 ( 19 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 : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 37 ( 37 !; 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/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
multiply(a,multiply(a,a)) != identity,
file('/export/starexec/sandbox/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,multiply(a,a)) != identity,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f8,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(identity,multiply(multiply(identity,multiply(X2,X2)),multiply(identity,multiply(X2,X2)))))) = multiply(multiply(X0,X1),X2),
inference(paramodulation,[status(thm)],[f3,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(f13,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),multiply(identity,X2)),
inference(paramodulation,[status(thm)],[f3,f11]) ).
fof(f29,plain,
! [X0,X1,X2] : multiply(X0,multiply(X0,multiply(multiply(multiply(X0,X1),X2),multiply(X2,X2)))) = X1,
inference(backward_demodulation,[status(thm)],[f13,f3]) ).
fof(f33,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(multiply(X0,X1),multiply(identity,identity)))) = X1,
inference(paramodulation,[status(thm)],[f13,f29]) ).
fof(f41,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(X0,multiply(X1,identity)))) = X1,
inference(forward_demodulation,[status(thm)],[f13,f33]) ).
fof(f50,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(identity,multiply(identity,multiply(multiply(X2,X2),multiply(X2,X2)))))) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f13,f8]) ).
fof(f54,plain,
! [X0,X1] : multiply(X0,multiply(X1,multiply(identity,multiply(identity,multiply(identity,multiply(identity,identity)))))) = multiply(multiply(X0,X1),identity),
inference(paramodulation,[status(thm)],[f13,f50]) ).
fof(f68,plain,
! [X0,X1] : multiply(X0,multiply(X1,identity)) = multiply(multiply(X0,X1),identity),
inference(forward_demodulation,[status(thm)],[f41,f54]) ).
fof(f110,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(multiply(X0,multiply(X1,identity)),multiply(identity,identity)))) = X1,
inference(paramodulation,[status(thm)],[f68,f29]) ).
fof(f117,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(X0,multiply(multiply(X1,identity),identity)))) = X1,
inference(forward_demodulation,[status(thm)],[f13,f110]) ).
fof(f118,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[status(thm)],[f41,f117]) ).
fof(f122,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(X0,X1))) = X1,
inference(backward_demodulation,[status(thm)],[f118,f41]) ).
fof(f150,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = identity,
inference(paramodulation,[status(thm)],[f118,f122]) ).
fof(f163,plain,
identity != identity,
inference(backward_demodulation,[status(thm)],[f150,f4]) ).
fof(f175,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP115-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n006.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Sun Sep 20 19:57:57 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.09/0.35 % Drodi V4.1.1
% 0.12/0.36 % Refutation found
% 0.12/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.38 % Elapsed time: 0.030595 seconds
% 0.12/0.38 % CPU time: 0.055308 seconds
% 0.12/0.38 % Total memory used: 2.577 MB
% 0.12/0.38 % Net memory used: 2.517 MB
%------------------------------------------------------------------------------