%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP480-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 12:34:29 PM UTC 2026
% Result : Unsatisfiable 28.64s 4.05s
% Output : CNFRefutation 28.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 3
% Syntax : Number of formulae : 64 ( 64 unt; 0 def)
% Number of atoms : 64 ( 63 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 231 ( 231 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C,D] : divide(inverse(divide(divide(divide(A,A),B),divide(C,divide(B,D)))),D) = C,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = divide(A,inverse(B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,X3)))),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)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f12,plain,
! [X0,X1,X2,X3] : multiply(inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,inverse(X3))))),X3) = X2,
inference(paramodulation,[status(thm)],[f5,f4]) ).
fof(f13,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(multiply(divide(X0,X0),X1),divide(X2,divide(inverse(X1),X3)))),X3) = X2,
inference(paramodulation,[status(thm)],[f5,f4]) ).
fof(f15,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(divide(divide(X0,X0),X1),X2)),X3) = inverse(divide(divide(divide(X4,X4),X5),divide(X2,divide(X5,divide(X1,X3))))),
inference(paramodulation,[status(thm)],[f4,f4]) ).
fof(f16,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(divide(divide(X0,X0),inverse(divide(divide(divide(X1,X1),X2),divide(X3,divide(X2,X4))))),divide(X5,X3))),X4) = X5,
inference(paramodulation,[status(thm)],[f4,f4]) ).
fof(f19,plain,
! [X0,X1,X2,X3] : multiply(inverse(divide(divide(divide(X0,X0),X1),divide(X2,multiply(X1,X3)))),X3) = X2,
inference(forward_demodulation,[status(thm)],[f5,f12]) ).
fof(f20,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(multiply(divide(X0,X0),divide(divide(divide(X1,X1),X2),divide(X3,divide(X2,X4)))),divide(X5,X3))),X4) = X5,
inference(forward_demodulation,[status(thm)],[f5,f16]) ).
fof(f31,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(multiply(divide(X0,X0),X1),X2)),X3) = inverse(divide(divide(divide(X4,X4),X5),divide(X2,divide(X5,divide(inverse(X1),X3))))),
inference(paramodulation,[status(thm)],[f4,f13]) ).
fof(f206,plain,
! [X0,X1,X2,X3] : divide(divide(inverse(divide(divide(divide(X0,X0),X1),X2)),X3),divide(X1,X3)) = X2,
inference(paramodulation,[status(thm)],[f15,f4]) ).
fof(f334,plain,
! [X0,X1,X2,X3] : divide(multiply(inverse(divide(divide(divide(X0,X0),X1),X2)),X3),divide(X1,inverse(X3))) = X2,
inference(paramodulation,[status(thm)],[f5,f206]) ).
fof(f368,plain,
! [X0,X1,X2,X3] : divide(multiply(inverse(divide(divide(divide(X0,X0),X1),X2)),X3),multiply(X1,X3)) = X2,
inference(forward_demodulation,[status(thm)],[f5,f334]) ).
fof(f390,plain,
! [X0,X1,X2,X3] : divide(multiply(inverse(multiply(divide(divide(X0,X0),X1),X2)),X3),multiply(X1,X3)) = inverse(X2),
inference(paramodulation,[status(thm)],[f5,f368]) ).
fof(f391,plain,
! [X0,X1,X2,X3,X4] : divide(multiply(inverse(divide(X0,X1)),X2),multiply(divide(X3,inverse(divide(divide(divide(X4,X4),X3),X0))),X2)) = X1,
inference(paramodulation,[status(thm)],[f206,f368]) ).
fof(f392,plain,
! [X0,X1,X2,X3] : divide(multiply(inverse(divide(multiply(divide(X0,X0),X1),X2)),X3),multiply(inverse(X1),X3)) = X2,
inference(paramodulation,[status(thm)],[f5,f368]) ).
fof(f414,plain,
! [X0,X1,X2,X3,X4] : divide(multiply(inverse(divide(X0,X1)),X2),multiply(multiply(X3,divide(divide(divide(X4,X4),X3),X0)),X2)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f391]) ).
fof(f424,plain,
! [X0,X1,X2,X3] : divide(multiply(inverse(multiply(multiply(divide(X0,X0),X1),X2)),X3),multiply(inverse(X1),X3)) = inverse(X2),
inference(paramodulation,[status(thm)],[f5,f390]) ).
fof(f471,plain,
! [X0,X1,X2,X3] : divide(multiply(inverse(divide(multiply(multiply(inverse(X0),X0),X1),X2)),X3),multiply(inverse(X1),X3)) = X2,
inference(paramodulation,[status(thm)],[f5,f392]) ).
fof(f888,plain,
! [X0,X1,X2,X3] : divide(multiply(inverse(multiply(multiply(multiply(inverse(X0),X0),X1),X2)),X3),multiply(inverse(X1),X3)) = inverse(X2),
inference(paramodulation,[status(thm)],[f5,f424]) ).
fof(f1423,plain,
! [X0,X1,X2,X3,X4,X5,X6] : X0 = inverse(divide(divide(divide(X1,X1),X2),divide(divide(X0,X3),divide(X2,divide(inverse(divide(divide(divide(X4,X4),X5),divide(X3,divide(X5,X6)))),X6))))),
inference(paramodulation,[status(thm)],[f20,f31]) ).
fof(f1579,plain,
! [X0,X1,X2,X3] : X0 = inverse(divide(divide(divide(X1,X1),X2),divide(divide(X0,X3),divide(X2,X3)))),
inference(forward_demodulation,[status(thm)],[f4,f1423]) ).
fof(f1710,plain,
! [X0,X1,X2,X3] : X0 = inverse(divide(divide(multiply(inverse(X1),X1),X2),divide(divide(X0,X3),divide(X2,X3)))),
inference(paramodulation,[status(thm)],[f5,f1579]) ).
fof(f1732,plain,
! [X0,X1,X2,X3] : X0 = inverse(divide(divide(divide(X1,X1),X2),divide(multiply(X0,X3),divide(X2,inverse(X3))))),
inference(paramodulation,[status(thm)],[f5,f1579]) ).
fof(f1759,plain,
! [X0,X1,X2,X3] : divide(multiply(X0,X1),multiply(X2,X1)) = divide(divide(X0,X3),divide(X2,X3)),
inference(paramodulation,[status(thm)],[f1579,f368]) ).
fof(f1789,plain,
! [X0,X1,X2,X3] : X0 = inverse(divide(divide(divide(X1,X1),X2),divide(multiply(X0,X3),multiply(X2,X3)))),
inference(forward_demodulation,[status(thm)],[f5,f1732]) ).
fof(f1811,plain,
! [X0,X1,X2,X3] : X0 = inverse(divide(multiply(divide(X1,X1),X2),divide(multiply(X0,X3),multiply(inverse(X2),X3)))),
inference(paramodulation,[status(thm)],[f5,f1789]) ).
fof(f1860,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,divide(divide(divide(X1,X1),X2),divide(multiply(X3,X4),multiply(X2,X4)))) = divide(X0,X3),
inference(paramodulation,[status(thm)],[f1789,f5]) ).
fof(f2369,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,divide(divide(multiply(inverse(X1),X1),X2),divide(divide(X3,X4),divide(X2,X4)))) = divide(X0,X3),
inference(paramodulation,[status(thm)],[f1710,f5]) ).
fof(f2756,plain,
! [X0,X1,X2,X3,X4] : divide(multiply(inverse(divide(multiply(divide(X0,X0),X1),multiply(X2,X1))),X3),multiply(X4,X3)) = divide(X2,X4),
inference(paramodulation,[status(thm)],[f1759,f368]) ).
fof(f18455,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,X1) = divide(X0,multiply(X2,divide(divide(divide(X3,X3),X2),multiply(divide(X4,X4),X1)))),
inference(paramodulation,[status(thm)],[f414,f2756]) ).
fof(f18957,plain,
! [X0,X1,X2,X3,X4,X5,X6] : divide(multiply(inverse(multiply(multiply(multiply(inverse(X0),X0),X1),X2)),X3),multiply(inverse(X1),X3)) = multiply(X4,divide(divide(divide(X5,X5),X4),multiply(divide(X6,X6),X2))),
inference(paramodulation,[status(thm)],[f18455,f471]) ).
fof(f19341,plain,
! [X0,X1,X2,X3] : inverse(X0) = multiply(X1,divide(divide(divide(X2,X2),X1),multiply(divide(X3,X3),X0))),
inference(forward_demodulation,[status(thm)],[f888,f18957]) ).
fof(f19507,plain,
! [X0,X1,X2,X3,X4,X5,X6] : inverse(divide(divide(multiply(inverse(X0),X0),X1),divide(divide(X2,X3),divide(X1,X3)))) = multiply(X4,divide(divide(divide(X5,X5),X4),divide(divide(X6,X6),X2))),
inference(paramodulation,[status(thm)],[f2369,f19341]) ).
fof(f19679,plain,
! [X0,X1,X2,X3] : X0 = multiply(X1,divide(divide(divide(X2,X2),X1),divide(divide(X3,X3),X0))),
inference(forward_demodulation,[status(thm)],[f1710,f19507]) ).
fof(f19761,plain,
! [X0,X1,X2,X3] : X0 = multiply(X0,divide(multiply(divide(X1,X1),X2),multiply(divide(X3,X3),X2))),
inference(paramodulation,[status(thm)],[f1759,f19679]) ).
fof(f20037,plain,
! [X0,X1,X2,X3,X4,X5] : X0 = multiply(X0,divide(divide(X1,X1),multiply(divide(X2,X2),divide(multiply(divide(X3,X3),X4),multiply(divide(X5,X5),X4))))),
inference(paramodulation,[status(thm)],[f19761,f19761]) ).
fof(f20264,plain,
! [X0,X1,X2] : X0 = multiply(X0,divide(divide(X1,X1),divide(X2,X2))),
inference(forward_demodulation,[status(thm)],[f19761,f20037]) ).
fof(f20401,plain,
! [X0,X1] : X0 = divide(X0,multiply(inverse(X1),X1)),
inference(paramodulation,[status(thm)],[f2369,f20264]) ).
fof(f20402,plain,
! [X0,X1] : X0 = divide(X0,divide(X1,X1)),
inference(paramodulation,[status(thm)],[f1860,f20264]) ).
fof(f20853,plain,
! [X0,X1] : inverse(X0) = inverse(multiply(divide(X1,X1),X0)),
inference(paramodulation,[status(thm)],[f20402,f1811]) ).
fof(f20906,plain,
! [X0,X1] : X0 = inverse(divide(divide(X1,X1),X0)),
inference(paramodulation,[status(thm)],[f20402,f1789]) ).
fof(f23578,plain,
! [X0,X1] : divide(X0,X0) = inverse(divide(X1,X1)),
inference(paramodulation,[status(thm)],[f20402,f20906]) ).
fof(f25541,plain,
! [X0,X1,X2,X3] : inverse(divide(divide(divide(X0,X0),divide(X1,X1)),divide(divide(X2,X2),X3))) = inverse(X3),
inference(paramodulation,[status(thm)],[f19679,f20853]) ).
fof(f25659,plain,
! [X0,X1,X2] : inverse(divide(divide(X0,X0),divide(divide(X1,X1),X2))) = inverse(X2),
inference(forward_demodulation,[status(thm)],[f20402,f25541]) ).
fof(f25660,plain,
! [X0,X1] : divide(divide(X0,X0),X1) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f20906,f25659]) ).
fof(f25690,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(backward_demodulation,[status(thm)],[f25660,f20906]) ).
fof(f25728,plain,
! [X0,X1,X2] : multiply(inverse(divide(inverse(X0),divide(X1,multiply(X0,X2)))),X2) = X1,
inference(backward_demodulation,[status(thm)],[f25660,f19]) ).
fof(f25729,plain,
! [X0,X1,X2] : divide(inverse(divide(inverse(X0),divide(X1,divide(X0,X2)))),X2) = X1,
inference(backward_demodulation,[status(thm)],[f25660,f4]) ).
fof(f26739,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(divide(X0,X0),divide(X1,divide(divide(X2,X2),X3)))),X3) = X1,
inference(paramodulation,[status(thm)],[f23578,f25729]) ).
fof(f26863,plain,
! [X0,X1,X2] : divide(inverse(inverse(divide(X0,divide(divide(X1,X1),X2)))),X2) = X0,
inference(forward_demodulation,[status(thm)],[f25660,f26739]) ).
fof(f26864,plain,
! [X0,X1,X2] : divide(divide(X0,divide(divide(X1,X1),X2)),X2) = X0,
inference(forward_demodulation,[status(thm)],[f25690,f26863]) ).
fof(f26865,plain,
! [X0,X1] : divide(divide(X0,inverse(X1)),X1) = X0,
inference(forward_demodulation,[status(thm)],[f25660,f26864]) ).
fof(f26866,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f5,f26865]) ).
fof(f28460,plain,
! [X0,X1] : multiply(inverse(divide(inverse(inverse(X0)),X1)),X0) = X1,
inference(paramodulation,[status(thm)],[f20401,f25728]) ).
fof(f28505,plain,
! [X0,X1] : multiply(inverse(divide(X0,X1)),X0) = X1,
inference(forward_demodulation,[status(thm)],[f25690,f28460]) ).
fof(f28918,plain,
! [X0,X1] : divide(X0,X1) = inverse(divide(X1,X0)),
inference(paramodulation,[status(thm)],[f28505,f26866]) ).
fof(f29212,plain,
! [X0,X1,X2] : multiply(divide(divide(X0,multiply(X1,X2)),inverse(X1)),X2) = X0,
inference(backward_demodulation,[status(thm)],[f28918,f25728]) ).
fof(f29257,plain,
! [X0,X1,X2] : multiply(multiply(divide(X0,multiply(X1,X2)),X1),X2) = X0,
inference(forward_demodulation,[status(thm)],[f5,f29212]) ).
fof(f29391,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(paramodulation,[status(thm)],[f26866,f29257]) ).
fof(f41425,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f6,f29391]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP480-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:13:53 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 28.64/4.05 % Refutation found
% 28.64/4.05 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 28.64/4.05 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 23.46/5.30 % Elapsed time: 4.716379 seconds
% 23.46/5.30 % CPU time: 23.993368 seconds
% 23.46/5.30 % Total memory used: 347.261 MB
% 23.46/5.30 % Net memory used: 339.214 MB
%------------------------------------------------------------------------------