%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP195-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 12:33:04 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.36s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 17 unt; 0 def)
% Number of atoms : 17 ( 16 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 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 : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,hypothesis,
! [X,Y] : multiply(X,multiply(Y,Y)) = multiply(Y,multiply(Y,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))) != multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,multiply(X1,X1)) = multiply(X1,multiply(X1,X0)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f6,plain,
multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))) != multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f27,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(X2,multiply(X1,X2)))) = multiply(multiply(X1,X2),multiply(multiply(X1,X2),X0)),
inference(paramodulation,[status(thm)],[f4,f5]) ).
fof(f34,plain,
! [X0,X1,X2] : multiply(multiply(X0,multiply(X0,X1)),X2) = multiply(X1,multiply(multiply(X0,X0),X2)),
inference(paramodulation,[status(thm)],[f5,f4]) ).
fof(f37,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(X2,multiply(X1,X2)))) = multiply(X1,multiply(X2,multiply(multiply(X1,X2),X0))),
inference(forward_demodulation,[status(thm)],[f4,f27]) ).
fof(f38,plain,
multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,b))))))) != multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))),
inference(backward_demodulation,[status(thm)],[f39,f6]) ).
fof(f39,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(X2,multiply(X1,X2)))) = multiply(X1,multiply(X2,multiply(X1,multiply(X2,X0)))),
inference(forward_demodulation,[status(thm)],[f4,f37]) ).
fof(f47,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(X0,X1),X2)) = multiply(X1,multiply(multiply(X0,X0),X2)),
inference(forward_demodulation,[status(thm)],[f4,f34]) ).
fof(f48,plain,
! [X0,X1,X2] : multiply(X0,multiply(X0,multiply(X1,X2))) = multiply(X1,multiply(multiply(X0,X0),X2)),
inference(forward_demodulation,[status(thm)],[f4,f47]) ).
fof(f49,plain,
! [X0,X1,X2] : multiply(X0,multiply(X0,multiply(X1,X2))) = multiply(X1,multiply(X0,multiply(X0,X2))),
inference(forward_demodulation,[status(thm)],[f4,f48]) ).
fof(f55,plain,
multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b))))))) != multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))),
inference(forward_demodulation,[status(thm)],[f49,f38]) ).
fof(f56,plain,
multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))) != multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))),
inference(forward_demodulation,[status(thm)],[f49,f55]) ).
fof(f57,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP195-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n001.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 20:10:57 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.36 % Refutation found
% 0.08/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.39 % Elapsed time: 0.028336 seconds
% 0.12/0.39 % CPU time: 0.036953 seconds
% 0.12/0.39 % Total memory used: 1.236 MB
% 0.12/0.39 % Net memory used: 1.186 MB
%------------------------------------------------------------------------------