%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP515-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 12:34:34 PM UTC 2026
% Result : Unsatisfiable 0.09s 5.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 2
% Syntax : Number of formulae : 27 ( 27 unt; 0 def)
% Number of atoms : 27 ( 26 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 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 : 60 ( 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : multiply(A,multiply(multiply(B,C),inverse(multiply(A,C)))) = B,
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(X1,X2),inverse(multiply(X0,X2)))) = X1,
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(f10,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,inverse(multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X3,X2))))))) = X3,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f11,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(X1,multiply(multiply(X2,X3),inverse(multiply(X0,X3)))),inverse(X2))) = X1,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f12,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(paramodulation,[status(thm)],[f3,f10]) ).
fof(f20,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X0))) = X1,
inference(paramodulation,[status(thm)],[f12,f10]) ).
fof(f31,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X2,X1)))) = X0,
inference(paramodulation,[status(thm)],[f20,f10]) ).
fof(f39,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(X1,X2),inverse(X1))) = multiply(X0,X2),
inference(paramodulation,[status(thm)],[f20,f11]) ).
fof(f62,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,inverse(X2))) = multiply(X0,multiply(multiply(X1,X3),inverse(multiply(X2,X3)))),
inference(paramodulation,[status(thm)],[f3,f39]) ).
fof(f124,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,multiply(X1,inverse(multiply(X1,X2)))),multiply(multiply(X3,X2),inverse(X3))) = X0,
inference(paramodulation,[status(thm)],[f31,f31]) ).
fof(f132,plain,
! [X0,X1,X2] : multiply(multiply(X0,multiply(X1,inverse(multiply(X1,X2)))),X2) = X0,
inference(forward_demodulation,[status(thm)],[f39,f124]) ).
fof(f145,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(X0,multiply(X2,inverse(multiply(X2,inverse(X1))))),
inference(paramodulation,[status(thm)],[f132,f39]) ).
fof(f146,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(X1,multiply(X2,inverse(multiply(X2,inverse(X0))))),
inference(paramodulation,[status(thm)],[f132,f20]) ).
fof(f158,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f163,f4]) ).
fof(f163,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f145,f146]) ).
fof(f177,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(paramodulation,[status(thm)],[f163,f20]) ).
fof(f188,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f12,f177]) ).
fof(f205,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f188,f20]) ).
fof(f300,plain,
! [X0,X1,X2] : multiply(inverse(inverse(multiply(X0,X1))),multiply(X2,inverse(X0))) = multiply(X2,X1),
inference(paramodulation,[status(thm)],[f205,f62]) ).
fof(f338,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(X2,inverse(X0))) = multiply(X2,X1),
inference(forward_demodulation,[status(thm)],[f188,f300]) ).
fof(f782,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,inverse(inverse(X2)))) = multiply(X1,multiply(X0,X2)),
inference(paramodulation,[status(thm)],[f205,f338]) ).
fof(f825,plain,
multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f833,f158]) ).
fof(f833,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X0,X2)),
inference(forward_demodulation,[status(thm)],[f188,f782]) ).
fof(f872,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(forward_demodulation,[status(thm)],[f163,f825]) ).
fof(f873,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f872]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP515-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.36 % Computer : n019.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Sun Sep 20 20:15:43 UTC 2026
% 0.09/5.36 % CPUTime :
% 0.09/5.37 % Drodi V4.1.1
% 0.09/5.39 % Refutation found
% 0.09/5.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/5.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/5.41 % Elapsed time: 0.043945 seconds
% 0.13/5.41 % CPU time: 0.200038 seconds
% 0.13/5.41 % Total memory used: 8.256 MB
% 0.13/5.41 % Net memory used: 8.098 MB
%------------------------------------------------------------------------------