%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP070-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 12:32:26 PM UTC 2026
% Result : Unsatisfiable 0.02s 0.34s
% Output : CNFRefutation 0.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 3
% Syntax : Number of formulae : 38 ( 33 unt; 0 def)
% Number of atoms : 46 ( 45 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 15 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 100 ( 100 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z,U] : divide(divide(X,X),divide(Y,divide(divide(Z,divide(U,Y)),inverse(U)))) = Z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : multiply(X,Y) = divide(X,inverse(Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2,X3] : divide(divide(X0,X0),divide(X1,divide(divide(X2,divide(X3,X1)),inverse(X3)))) = X2,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f6,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f7,plain,
! [X0,X1,X2,X3] : divide(divide(X0,X0),divide(X1,multiply(divide(X2,divide(X3,X1)),X3))) = X2,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X0,X1,X2,X3] : divide(multiply(inverse(X0),X0),divide(X1,multiply(divide(X2,divide(X3,X1)),X3))) = X2,
inference(paramodulation,[status(thm)],[f5,f7]) ).
fof(f9,plain,
! [X0,X1,X2,X3,X4] : divide(divide(X0,X0),divide(multiply(divide(X1,divide(X2,X3)),X2),multiply(X1,X3))) = divide(X4,X4),
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f11,plain,
! [X0,X1,X2,X3] : divide(divide(X0,X0),divide(inverse(X1),multiply(divide(X2,multiply(X3,X1)),X3))) = X2,
inference(paramodulation,[status(thm)],[f5,f7]) ).
fof(f16,plain,
! [X0,X1,X2,X3] : divide(multiply(inverse(X0),X0),divide(inverse(X1),multiply(divide(X2,multiply(X3,X1)),X3))) = X2,
inference(paramodulation,[status(thm)],[f5,f8]) ).
fof(f28,plain,
! [X0,X1] : divide(X0,X0) = divide(X1,X1),
inference(paramodulation,[status(thm)],[f9,f9]) ).
fof(f61,plain,
! [X0,X1] : multiply(inverse(X0),X0) = divide(X1,X1),
inference(paramodulation,[status(thm)],[f5,f28]) ).
fof(f70,plain,
! [X0,X1,X2,X3] : divide(multiply(inverse(X0),X0),divide(X1,multiply(divide(X2,X2),X3))) = divide(X3,X1),
inference(paramodulation,[status(thm)],[f28,f8]) ).
fof(f71,plain,
! [X0,X1,X2,X3] : divide(divide(X0,X0),divide(X1,multiply(divide(X2,X2),X3))) = divide(X3,X1),
inference(paramodulation,[status(thm)],[f28,f7]) ).
fof(f104,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f5,f61]) ).
fof(f109,plain,
! [X0] :
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(divide(X0,X0),a2) != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(paramodulation,[status(thm)],[f61,f6]) ).
fof(f131,plain,
! [X0] :
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(divide(X0,X0),a2) != a2 ),
inference(forward_subsumption_resolution,[status(thm)],[f109,f104]) ).
fof(f158,plain,
! [X0,X1,X2] : divide(X0,X0) = divide(X1,multiply(divide(X2,X2),X1)),
inference(paramodulation,[status(thm)],[f28,f71]) ).
fof(f180,plain,
! [X0,X1,X2,X3,X4,X5] : divide(divide(X0,X0),divide(multiply(divide(X1,X2),X2),multiply(divide(X3,X3),multiply(divide(X4,X4),X1)))) = divide(X5,X5),
inference(paramodulation,[status(thm)],[f71,f9]) ).
fof(f193,plain,
! [X0,X1,X2,X3] : divide(multiply(divide(X0,X0),X1),multiply(divide(X1,X2),X2)) = divide(X3,X3),
inference(forward_demodulation,[status(thm)],[f71,f180]) ).
fof(f234,plain,
! [X0,X1,X2,X3] : divide(multiply(inverse(X0),X0),divide(inverse(X1),multiply(divide(X2,X2),divide(X3,X3)))) = X1,
inference(paramodulation,[status(thm)],[f158,f16]) ).
fof(f242,plain,
! [X0,X1] : divide(divide(X0,X0),inverse(X1)) = X1,
inference(forward_demodulation,[status(thm)],[f70,f234]) ).
fof(f244,plain,
! [X0,X1,X2] : divide(divide(X0,X0),divide(X1,X2)) = divide(X2,X1),
inference(backward_demodulation,[status(thm)],[f272,f71]) ).
fof(f245,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != a2 ),
inference(backward_demodulation,[status(thm)],[f272,f131]) ).
fof(f261,plain,
! [X0,X1,X2] : divide(X0,multiply(divide(X0,X1),X1)) = divide(X2,X2),
inference(backward_demodulation,[status(thm)],[f272,f193]) ).
fof(f272,plain,
! [X0,X1] : multiply(divide(X0,X0),X1) = X1,
inference(forward_demodulation,[status(thm)],[f5,f242]) ).
fof(f279,plain,
! [X0,X1,X2] : divide(multiply(divide(X0,multiply(X1,X2)),X1),inverse(X2)) = X0,
inference(backward_demodulation,[status(thm)],[f244,f11]) ).
fof(f280,plain,
! [X0,X1,X2] : divide(multiply(divide(X0,divide(X1,X2)),X1),X2) = X0,
inference(backward_demodulation,[status(thm)],[f244,f7]) ).
fof(f316,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(trivial_equality_resolution,[status(thm)],[f245]) ).
fof(f349,plain,
! [X0,X1,X2] : multiply(multiply(divide(X0,multiply(X1,X2)),X1),X2) = X0,
inference(forward_demodulation,[status(thm)],[f5,f279]) ).
fof(f475,plain,
! [X0,X1,X2] : multiply(multiply(divide(X0,X0),divide(X1,X2)),X2) = X1,
inference(paramodulation,[status(thm)],[f261,f349]) ).
fof(f502,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f272,f475]) ).
fof(f529,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),X2) = multiply(divide(X0,divide(X3,multiply(X1,X2))),X3),
inference(paramodulation,[status(thm)],[f280,f349]) ).
fof(f531,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(divide(X0,divide(X2,X1)),X2),
inference(paramodulation,[status(thm)],[f280,f502]) ).
fof(f539,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(backward_demodulation,[status(thm)],[f531,f529]) ).
fof(f568,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f539,f316]) ).
fof(f620,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f568]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP070-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Sun Sep 20 19:56:22 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.30 % Drodi V4.1.1
% 0.02/0.34 % Refutation found
% 0.02/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.02/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.06/0.35 % Elapsed time: 0.053332 seconds
% 0.06/0.35 % CPU time: 0.223752 seconds
% 0.06/0.35 % Total memory used: 71.934 MB
% 0.06/0.35 % Net memory used: 71.165 MB
%------------------------------------------------------------------------------