%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP519-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : 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 12:34:35 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.38s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 12 unt; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : multiply(A,multiply(multiply(inverse(multiply(A,B)),C),B)) = C,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(inverse(multiply(X0,X1)),X2),X1)) = X2,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f4,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f11,plain,
! [X0,X1,X2,X3] : X0 = multiply(X1,multiply(multiply(inverse(X2),X0),multiply(multiply(inverse(multiply(X1,X3)),X2),X3))),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f21,plain,
! [X0,X1] : X0 = multiply(multiply(inverse(X1),X0),X1),
inference(paramodulation,[status(thm)],[f3,f11]) ).
fof(f22,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(inverse(multiply(inverse(X0),X1)),X2),X1) = multiply(X3,multiply(X2,multiply(multiply(inverse(multiply(X3,X4)),X0),X4))),
inference(paramodulation,[status(thm)],[f3,f11]) ).
fof(f40,plain,
! [X0,X1,X2] : multiply(multiply(inverse(multiply(inverse(X0),X1)),X2),X1) = multiply(X2,X0),
inference(paramodulation,[status(thm)],[f3,f21]) ).
fof(f260,plain,
! [X0,X1,X2,X3] : multiply(X0,X1) = multiply(X2,multiply(X0,multiply(multiply(inverse(multiply(X2,X3)),X1),X3))),
inference(forward_demodulation,[status(thm)],[f40,f22]) ).
fof(f302,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(inverse(multiply(inverse(X1),X2)),X3),X2)) = multiply(multiply(X0,X3),X1),
inference(paramodulation,[status(thm)],[f260,f21]) ).
fof(f327,plain,
! [X0,X3,X1] : multiply(X0,multiply(X3,X1)) = multiply(multiply(X0,X3),X1),
inference(forward_demodulation,[status(thm)],[f40,f302]) ).
fof(f328,plain,
$false,
inference(resolution,[status(thm)],[f327,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP519-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n006.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:15:30 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.38 % Refutation found
% 0.10/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.41 % Elapsed time: 0.041531 seconds
% 0.10/0.41 % CPU time: 0.086807 seconds
% 0.10/0.41 % Total memory used: 4.136 MB
% 0.10/0.41 % Net memory used: 4.005 MB
%------------------------------------------------------------------------------