%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP403-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 12:33:37 PM UTC 2026
% Result : Unsatisfiable 15.88s 2.55s
% Output : CNFRefutation 15.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 18 unt; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 58 ( 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),inverse(multiply(B,multiply(inverse(B),B)))))) = C,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(multiply(X1,multiply(inverse(X1),X1)))))) = X2,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f4,plain,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f10,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(X2,multiply(inverse(X2),X2)))))) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),X1)),inverse(multiply(X3,multiply(inverse(X3),X3))))),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f12,plain,
! [X0,X1,X2,X3] : X0 = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(multiply(X1,X2)),X0))),inverse(multiply(X3,multiply(inverse(X3),X3))))),
inference(paramodulation,[status(thm)],[f3,f10]) ).
fof(f34,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(X2),inverse(multiply(X1,multiply(inverse(X1),X1))))))) = X2,
inference(paramodulation,[status(thm)],[f10,f3]) ).
fof(f60,plain,
! [X0,X1,X2,X3,X4,X5] : X0 = inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),X5)),multiply(inverse(multiply(X3,X4)),X1))),inverse(multiply(X5,multiply(inverse(X5),X5))))),X0))),inverse(multiply(X2,multiply(inverse(X2),X2))))),
inference(paramodulation,[status(thm)],[f12,f12]) ).
fof(f92,plain,
! [X0,X1,X2] : X0 = inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X0))),inverse(multiply(X2,multiply(inverse(X2),X2))))),
inference(forward_demodulation,[status(thm)],[f12,f60]) ).
fof(f116,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,X1)),inverse(multiply(X2,inverse(multiply(multiply(X0,X2),multiply(inverse(multiply(X0,X2)),multiply(X0,X2))))))) = inverse(multiply(X1,multiply(inverse(X1),X1))),
inference(paramodulation,[status(thm)],[f92,f3]) ).
fof(f117,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(X3,X1)),multiply(X3,X2)),
inference(paramodulation,[status(thm)],[f92,f34]) ).
fof(f265,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X0))),X3)) = multiply(inverse(multiply(X4,inverse(multiply(X2,multiply(inverse(X2),X2))))),multiply(X4,X3)),
inference(paramodulation,[status(thm)],[f92,f117]) ).
fof(f308,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,inverse(multiply(inverse(X3),inverse(multiply(multiply(X1,X2),multiply(inverse(multiply(X4,X2)),multiply(X4,X2)))))))) = X3,
inference(paramodulation,[status(thm)],[f117,f34]) ).
fof(f1499,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X0))),X3)) = multiply(X4,multiply(inverse(multiply(inverse(multiply(X5,X2)),multiply(X5,X4))),X3)),
inference(paramodulation,[status(thm)],[f265,f265]) ).
fof(f2814,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(X2)))),inverse(multiply(X1,multiply(inverse(X1),X1)))) = X2,
inference(paramodulation,[status(thm)],[f116,f308]) ).
fof(f3054,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X0))),inverse(multiply(X2,multiply(inverse(X2),X2))))) = multiply(inverse(X3),X3),
inference(paramodulation,[status(thm)],[f2814,f1499]) ).
fof(f3177,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f3054,f3054]) ).
fof(f5997,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f4,f3177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP403-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n015.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 20:15:20 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 15.88/2.55 % Refutation found
% 15.88/2.55 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 15.88/2.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.06/2.63 % Elapsed time: 2.261694 seconds
% 4.06/2.63 % CPU time: 17.564875 seconds
% 4.06/2.63 % Total memory used: 437.703 MB
% 4.06/2.63 % Net memory used: 433.342 MB
%------------------------------------------------------------------------------