%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP097-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 12:32:30 PM UTC 2026
% Result : Unsatisfiable 0.17s 5.57s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 3
% Syntax : Number of formulae : 64 ( 57 unt; 0 def)
% Number of atoms : 77 ( 76 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 36 ( 23 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 138 ( 138 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : divide(X,inverse(divide(divide(Y,Z),divide(X,Z)))) = Y,
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(a4,b4) != multiply(b4,a4)
| 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] : divide(X0,inverse(divide(divide(X1,X2),divide(X0,X2)))) = X1,
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(a4,b4) != multiply(b4,a4)
| 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] : multiply(X0,divide(divide(X1,X2),divide(X0,X2))) = X1,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X0,X1,X2] : multiply(X0,divide(multiply(X1,X2),divide(X0,inverse(X2)))) = X1,
inference(paramodulation,[status(thm)],[f5,f7]) ).
fof(f10,plain,
! [X0,X1,X2] : multiply(X0,divide(multiply(X1,X2),multiply(X0,X2))) = X1,
inference(forward_demodulation,[status(thm)],[f5,f8]) ).
fof(f12,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(X1,multiply(X0,divide(multiply(X1,X2),multiply(X3,X2))))) = X3,
inference(paramodulation,[status(thm)],[f10,f10]) ).
fof(f14,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(multiply(X1,divide(multiply(X2,X3),multiply(X0,X3))),X2)) = X1,
inference(paramodulation,[status(thm)],[f10,f10]) ).
fof(f15,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(multiply(X1,divide(divide(X2,X3),divide(X0,X3))),X2)) = X1,
inference(paramodulation,[status(thm)],[f7,f10]) ).
fof(f16,plain,
! [X0,X1] : multiply(X0,divide(X1,X1)) = X0,
inference(paramodulation,[status(thm)],[f10,f12]) ).
fof(f28,plain,
! [X0,X1] : multiply(X0,divide(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f16,f12]) ).
fof(f40,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f5,f28]) ).
fof(f58,plain,
! [X0,X1] : multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(paramodulation,[status(thm)],[f40,f40]) ).
fof(f60,plain,
! [X0,X1,X2] : multiply(inverse(divide(multiply(X0,X1),multiply(X2,X1))),X0) = X2,
inference(paramodulation,[status(thm)],[f10,f40]) ).
fof(f64,plain,
! [X0,X1] : multiply(inverse(divide(X0,X0)),X1) = X1,
inference(paramodulation,[status(thm)],[f16,f40]) ).
fof(f102,plain,
! [X0,X1,X2] : multiply(inverse(X0),X1) = inverse(divide(multiply(X0,X2),multiply(X1,X2))),
inference(paramodulation,[status(thm)],[f10,f58]) ).
fof(f106,plain,
! [X0,X1] : multiply(inverse(X0),X1) = inverse(divide(X0,X1)),
inference(paramodulation,[status(thm)],[f28,f58]) ).
fof(f107,plain,
! [X0,X1] : multiply(inverse(X0),X0) = inverse(divide(X1,X1)),
inference(paramodulation,[status(thm)],[f16,f58]) ).
fof(f119,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(backward_demodulation,[status(thm)],[f102,f60]) ).
fof(f124,plain,
! [X0,X1,X2] : multiply(inverse(X0),X1) = multiply(inverse(multiply(X0,X2)),multiply(X1,X2)),
inference(backward_demodulation,[status(thm)],[f106,f102]) ).
fof(f128,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(backward_demodulation,[status(thm)],[f106,f64]) ).
fof(f131,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2 ),
inference(backward_subsumption_resolution,[status(thm)],[f6,f132]) ).
fof(f132,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(forward_demodulation,[status(thm)],[f106,f107]) ).
fof(f144,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != a2 ),
inference(forward_demodulation,[status(thm)],[f128,f131]) ).
fof(f145,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(trivial_equality_resolution,[status(thm)],[f144]) ).
fof(f158,plain,
! [X0,X1] : multiply(inverse(X0),X0) = divide(X1,X1),
inference(paramodulation,[status(thm)],[f16,f119]) ).
fof(f247,plain,
! [X0,X1] : multiply(divide(X0,X0),X1) = X1,
inference(paramodulation,[status(thm)],[f158,f128]) ).
fof(f292,plain,
! [X0,X1,X2] : X0 = divide(divide(X0,X1),divide(divide(X2,X2),X1)),
inference(paramodulation,[status(thm)],[f7,f247]) ).
fof(f333,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(X1,X2)) = multiply(inverse(divide(multiply(X2,X3),multiply(X0,X3))),X1),
inference(paramodulation,[status(thm)],[f119,f14]) ).
fof(f374,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(X1,X2)) = multiply(multiply(inverse(multiply(X2,X3)),multiply(X0,X3)),X1),
inference(forward_demodulation,[status(thm)],[f106,f333]) ).
fof(f383,plain,
! [X0,X1,X2] : multiply(X0,divide(X1,X2)) = multiply(multiply(inverse(X2),X0),X1),
inference(forward_demodulation,[status(thm)],[f124,f374]) ).
fof(f505,plain,
! [X0,X1,X2] : multiply(X0,divide(X1,X2)) = divide(X0,multiply(inverse(X1),X2)),
inference(paramodulation,[status(thm)],[f106,f5]) ).
fof(f593,plain,
! [X0,X1,X2,X3] : divide(multiply(X0,divide(divide(X1,X2),divide(divide(X3,X3),X2))),X1) = X0,
inference(paramodulation,[status(thm)],[f247,f15]) ).
fof(f630,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f292,f593]) ).
fof(f681,plain,
! [X0,X1] : divide(inverse(X0),X1) = inverse(multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f58,f630]) ).
fof(f682,plain,
! [X0,X1] : divide(X0,multiply(X0,X1)) = inverse(X1),
inference(paramodulation,[status(thm)],[f40,f630]) ).
fof(f691,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(paramodulation,[status(thm)],[f28,f630]) ).
fof(f698,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f630,f28]) ).
fof(f735,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(backward_demodulation,[status(thm)],[f698,f145]) ).
fof(f801,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)) ),
inference(forward_demodulation,[status(thm)],[f698,f735]) ).
fof(f802,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(trivial_equality_resolution,[status(thm)],[f801]) ).
fof(f816,plain,
! [X0,X1] : multiply(inverse(X0),divide(X0,X1)) = inverse(X1),
inference(paramodulation,[status(thm)],[f691,f106]) ).
fof(f885,plain,
! [X0,X1] : divide(X0,X1) = inverse(divide(X1,X0)),
inference(paramodulation,[status(thm)],[f28,f682]) ).
fof(f887,plain,
! [X0,X1] : divide(X0,multiply(X1,X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f698,f682]) ).
fof(f894,plain,
! [X0,X1] : divide(divide(X0,X1),X0) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f906,f816]) ).
fof(f902,plain,
! [X0,X1,X2] : multiply(X0,divide(X1,X2)) = divide(X0,divide(X2,X1)),
inference(backward_demodulation,[status(thm)],[f906,f505]) ).
fof(f904,plain,
! [X0,X1,X2] : multiply(X0,divide(X1,X2)) = multiply(divide(X0,X2),X1),
inference(backward_demodulation,[status(thm)],[f906,f383]) ).
fof(f906,plain,
! [X0,X1] : divide(X0,X1) = multiply(inverse(X1),X0),
inference(forward_demodulation,[status(thm)],[f106,f885]) ).
fof(f964,plain,
! [X0,X1,X2] : divide(X0,divide(X1,X2)) = multiply(divide(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f902,f904]) ).
fof(f1187,plain,
! [X0,X1] : divide(inverse(X0),X1) = inverse(multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f887,f894]) ).
fof(f1189,plain,
! [X0,X1] : divide(X0,X1) = inverse(divide(X1,X0)),
inference(paramodulation,[status(thm)],[f691,f894]) ).
fof(f1202,plain,
! [X0,X1] : divide(inverse(X0),X1) = divide(inverse(X1),X0),
inference(forward_demodulation,[status(thm)],[f681,f1187]) ).
fof(f1238,plain,
! [X0,X1,X2] : divide(X0,divide(X1,X2)) = multiply(divide(X2,X1),X0),
inference(paramodulation,[status(thm)],[f1189,f906]) ).
fof(f1252,plain,
! [X0,X1,X2] : divide(X0,divide(X1,X2)) = divide(X2,divide(X1,X0)),
inference(forward_demodulation,[status(thm)],[f964,f1238]) ).
fof(f1476,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = divide(X0,divide(inverse(X2),X1)),
inference(paramodulation,[status(thm)],[f5,f902]) ).
fof(f1800,plain,
! [X0,X1,X2] : divide(X0,divide(inverse(X1),X2)) = divide(X1,divide(inverse(X2),X0)),
inference(paramodulation,[status(thm)],[f1202,f1252]) ).
fof(f1864,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = divide(X2,divide(inverse(X1),X0)),
inference(forward_demodulation,[status(thm)],[f1476,f1800]) ).
fof(f1865,plain,
multiply(b3,multiply(c3,a3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f1866,f802]) ).
fof(f1866,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X2,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f1476,f1864]) ).
fof(f1951,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(forward_demodulation,[status(thm)],[f1866,f1865]) ).
fof(f1952,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f1951]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP097-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/5.38 % Computer : n008.cluster.edu
% 0.12/5.38 % Model : x86_64 x86_64
% 0.12/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.38 % Memory : 8046.5625MB
% 0.12/5.38 % OS : Linux 6.8.0-71-generic
% 0.12/5.39 % CPULimit : 300
% 0.12/5.39 % WCLimit : 300
% 0.12/5.39 % DateTime : Sun Sep 20 19:58:15 UTC 2026
% 0.12/5.39 % CPUTime :
% 0.17/5.40 % Drodi V4.1.1
% 0.17/5.57 % Refutation found
% 0.17/5.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/5.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/5.60 % Elapsed time: 0.195903 seconds
% 0.17/5.60 % CPU time: 1.309539 seconds
% 0.17/5.60 % Total memory used: 86.178 MB
% 0.17/5.60 % Net memory used: 84.696 MB
%------------------------------------------------------------------------------