%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP208-1 : TPTP v9.3.1. Released v2.5.0.
% 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 12:33:06 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.41s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 91
% Syntax : Number of formulae : 414 ( 11 unt; 33 def)
% Number of atoms : 1463 ( 505 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 1935 ( 886 ~;1016 |; 0 &)
% ( 33 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 35 ( 33 usr; 34 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 84 ( 84 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : multiply(identity,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : multiply(inverse(X),X) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c12
| multiply(sk_c1,sk_c2) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c1,sk_c2) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( multiply(sk_c6,sk_c11) = sk_c12
| multiply(sk_c1,sk_c2) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( inverse(sk_c7) = sk_c12
| multiply(sk_c1,sk_c2) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( multiply(sk_c7,sk_c11) = sk_c12
| multiply(sk_c1,sk_c2) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c11
| multiply(sk_c1,sk_c2) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( inverse(sk_c8) = sk_c9
| multiply(sk_c1,sk_c2) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( multiply(sk_c9,sk_c12) = sk_c11
| multiply(sk_c1,sk_c2) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( inverse(sk_c10) = sk_c11
| multiply(sk_c1,sk_c2) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( multiply(sk_c10,sk_c12) = sk_c11
| multiply(sk_c1,sk_c2) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c12
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( multiply(sk_c6,sk_c11) = sk_c12
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( inverse(sk_c7) = sk_c12
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( multiply(sk_c7,sk_c11) = sk_c12
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c11
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( inverse(sk_c8) = sk_c9
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( multiply(sk_c9,sk_c12) = sk_c11
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( inverse(sk_c10) = sk_c11
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
( multiply(sk_c10,sk_c12) = sk_c11
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c12
| multiply(sk_c2,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c2,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
( multiply(sk_c6,sk_c11) = sk_c12
| multiply(sk_c2,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( inverse(sk_c7) = sk_c12
| multiply(sk_c2,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( multiply(sk_c7,sk_c11) = sk_c12
| multiply(sk_c2,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c11
| multiply(sk_c2,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
( inverse(sk_c8) = sk_c9
| multiply(sk_c2,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( multiply(sk_c9,sk_c12) = sk_c11
| multiply(sk_c2,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
( inverse(sk_c10) = sk_c11
| multiply(sk_c2,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
( multiply(sk_c10,sk_c12) = sk_c11
| multiply(sk_c2,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c12
| multiply(sk_c12,sk_c4) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c12,sk_c4) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
( multiply(sk_c6,sk_c11) = sk_c12
| multiply(sk_c12,sk_c4) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
( inverse(sk_c7) = sk_c12
| multiply(sk_c12,sk_c4) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
( multiply(sk_c7,sk_c11) = sk_c12
| multiply(sk_c12,sk_c4) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c11
| multiply(sk_c12,sk_c4) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
( inverse(sk_c8) = sk_c9
| multiply(sk_c12,sk_c4) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
( multiply(sk_c9,sk_c12) = sk_c11
| multiply(sk_c12,sk_c4) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
( inverse(sk_c10) = sk_c11
| multiply(sk_c12,sk_c4) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
( multiply(sk_c10,sk_c12) = sk_c11
| multiply(sk_c12,sk_c4) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c12
| multiply(sk_c3,sk_c12) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c3,sk_c12) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
( multiply(sk_c6,sk_c11) = sk_c12
| multiply(sk_c3,sk_c12) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
( inverse(sk_c7) = sk_c12
| multiply(sk_c3,sk_c12) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
( multiply(sk_c7,sk_c11) = sk_c12
| multiply(sk_c3,sk_c12) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
( inverse(sk_c10) = sk_c11
| multiply(sk_c3,sk_c12) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,negated_conjecture,
( multiply(sk_c10,sk_c12) = sk_c11
| multiply(sk_c3,sk_c12) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c12
| inverse(sk_c3) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c3) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,negated_conjecture,
( multiply(sk_c6,sk_c11) = sk_c12
| inverse(sk_c3) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,negated_conjecture,
( inverse(sk_c7) = sk_c12
| inverse(sk_c3) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
( multiply(sk_c7,sk_c11) = sk_c12
| inverse(sk_c3) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f62,negated_conjecture,
( inverse(sk_c10) = sk_c11
| inverse(sk_c3) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f63,negated_conjecture,
( multiply(sk_c10,sk_c12) = sk_c11
| inverse(sk_c3) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f64,negated_conjecture,
! [X5,X6,X7,X8,X2,X1,X3,X9,X4,X10] :
( multiply(X10,sk_c12) != sk_c11
| inverse(X10) != sk_c11
| multiply(X4,sk_c12) != sk_c11
| inverse(X9) != X4
| multiply(X9,X4) != sk_c11
| multiply(X3,sk_c11) != sk_c12
| inverse(X3) != sk_c12
| multiply(X1,sk_c11) != sk_c12
| inverse(X2) != X1
| multiply(X2,X1) != sk_c12
| inverse(X8) != sk_c12
| multiply(X8,sk_c12) != X7
| multiply(sk_c12,X7) != sk_c11
| multiply(X6,sk_c11) != sk_c12
| inverse(X5) != X6
| multiply(X5,X6) != sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f65,plain,
! [X0] : multiply(identity,X0) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f66,plain,
! [X0] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f67,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f68,plain,
( multiply(sk_c5,sk_c6) = sk_c12
| multiply(sk_c1,sk_c2) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f69,plain,
( inverse(sk_c5) = sk_c6
| multiply(sk_c1,sk_c2) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f70,plain,
( multiply(sk_c6,sk_c11) = sk_c12
| multiply(sk_c1,sk_c2) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f71,plain,
( inverse(sk_c7) = sk_c12
| multiply(sk_c1,sk_c2) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f72,plain,
( multiply(sk_c7,sk_c11) = sk_c12
| multiply(sk_c1,sk_c2) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f73,plain,
( multiply(sk_c8,sk_c9) = sk_c11
| multiply(sk_c1,sk_c2) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f74,plain,
( inverse(sk_c8) = sk_c9
| multiply(sk_c1,sk_c2) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f75,plain,
( multiply(sk_c9,sk_c12) = sk_c11
| multiply(sk_c1,sk_c2) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f76,plain,
( inverse(sk_c10) = sk_c11
| multiply(sk_c1,sk_c2) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f77,plain,
( multiply(sk_c10,sk_c12) = sk_c11
| multiply(sk_c1,sk_c2) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f78,plain,
( multiply(sk_c5,sk_c6) = sk_c12
| inverse(sk_c1) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f79,plain,
( inverse(sk_c5) = sk_c6
| inverse(sk_c1) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f80,plain,
( multiply(sk_c6,sk_c11) = sk_c12
| inverse(sk_c1) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f81,plain,
( inverse(sk_c7) = sk_c12
| inverse(sk_c1) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f82,plain,
( multiply(sk_c7,sk_c11) = sk_c12
| inverse(sk_c1) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f83,plain,
( multiply(sk_c8,sk_c9) = sk_c11
| inverse(sk_c1) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f84,plain,
( inverse(sk_c8) = sk_c9
| inverse(sk_c1) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f85,plain,
( multiply(sk_c9,sk_c12) = sk_c11
| inverse(sk_c1) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f86,plain,
( inverse(sk_c10) = sk_c11
| inverse(sk_c1) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f87,plain,
( multiply(sk_c10,sk_c12) = sk_c11
| inverse(sk_c1) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f88,plain,
( multiply(sk_c5,sk_c6) = sk_c12
| multiply(sk_c2,sk_c11) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f89,plain,
( inverse(sk_c5) = sk_c6
| multiply(sk_c2,sk_c11) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f90,plain,
( multiply(sk_c6,sk_c11) = sk_c12
| multiply(sk_c2,sk_c11) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f91,plain,
( inverse(sk_c7) = sk_c12
| multiply(sk_c2,sk_c11) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f92,plain,
( multiply(sk_c7,sk_c11) = sk_c12
| multiply(sk_c2,sk_c11) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f93,plain,
( multiply(sk_c8,sk_c9) = sk_c11
| multiply(sk_c2,sk_c11) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f94,plain,
( inverse(sk_c8) = sk_c9
| multiply(sk_c2,sk_c11) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f95,plain,
( multiply(sk_c9,sk_c12) = sk_c11
| multiply(sk_c2,sk_c11) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f96,plain,
( inverse(sk_c10) = sk_c11
| multiply(sk_c2,sk_c11) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f97,plain,
( multiply(sk_c10,sk_c12) = sk_c11
| multiply(sk_c2,sk_c11) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f98,plain,
( multiply(sk_c5,sk_c6) = sk_c12
| multiply(sk_c12,sk_c4) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f99,plain,
( inverse(sk_c5) = sk_c6
| multiply(sk_c12,sk_c4) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f100,plain,
( multiply(sk_c6,sk_c11) = sk_c12
| multiply(sk_c12,sk_c4) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f101,plain,
( inverse(sk_c7) = sk_c12
| multiply(sk_c12,sk_c4) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f102,plain,
( multiply(sk_c7,sk_c11) = sk_c12
| multiply(sk_c12,sk_c4) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f103,plain,
( multiply(sk_c8,sk_c9) = sk_c11
| multiply(sk_c12,sk_c4) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f104,plain,
( inverse(sk_c8) = sk_c9
| multiply(sk_c12,sk_c4) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f105,plain,
( multiply(sk_c9,sk_c12) = sk_c11
| multiply(sk_c12,sk_c4) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f106,plain,
( inverse(sk_c10) = sk_c11
| multiply(sk_c12,sk_c4) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f107,plain,
( multiply(sk_c10,sk_c12) = sk_c11
| multiply(sk_c12,sk_c4) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f108,plain,
( multiply(sk_c5,sk_c6) = sk_c12
| multiply(sk_c3,sk_c12) = sk_c4 ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f109,plain,
( inverse(sk_c5) = sk_c6
| multiply(sk_c3,sk_c12) = sk_c4 ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f110,plain,
( multiply(sk_c6,sk_c11) = sk_c12
| multiply(sk_c3,sk_c12) = sk_c4 ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f111,plain,
( inverse(sk_c7) = sk_c12
| multiply(sk_c3,sk_c12) = sk_c4 ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f112,plain,
( multiply(sk_c7,sk_c11) = sk_c12
| multiply(sk_c3,sk_c12) = sk_c4 ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f116,plain,
( inverse(sk_c10) = sk_c11
| multiply(sk_c3,sk_c12) = sk_c4 ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f117,plain,
( multiply(sk_c10,sk_c12) = sk_c11
| multiply(sk_c3,sk_c12) = sk_c4 ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f118,plain,
( multiply(sk_c5,sk_c6) = sk_c12
| inverse(sk_c3) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f119,plain,
( inverse(sk_c5) = sk_c6
| inverse(sk_c3) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f120,plain,
( multiply(sk_c6,sk_c11) = sk_c12
| inverse(sk_c3) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f121,plain,
( inverse(sk_c7) = sk_c12
| inverse(sk_c3) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f122,plain,
( multiply(sk_c7,sk_c11) = sk_c12
| inverse(sk_c3) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f126,plain,
( inverse(sk_c10) = sk_c11
| inverse(sk_c3) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f127,plain,
( multiply(sk_c10,sk_c12) = sk_c11
| inverse(sk_c3) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f128,plain,
! [X10] :
( multiply(X10,sk_c12) != sk_c11
| inverse(X10) != sk_c11
| ! [X4] :
( multiply(X4,sk_c12) != sk_c11
| ! [X9] :
( inverse(X9) != X4
| multiply(X9,X4) != sk_c11
| ! [X3] :
( multiply(X3,sk_c11) != sk_c12
| inverse(X3) != sk_c12
| ! [X1] :
( multiply(X1,sk_c11) != sk_c12
| ! [X2] :
( inverse(X2) != X1
| multiply(X2,X1) != sk_c12
| ! [X8] :
( inverse(X8) != sk_c12
| ! [X7] :
( multiply(X8,sk_c12) != X7
| multiply(sk_c12,X7) != sk_c11
| ! [X6] :
( multiply(X6,sk_c11) != sk_c12
| ! [X5] :
( inverse(X5) != X6
| multiply(X5,X6) != sk_c12 ) ) ) ) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f64]) ).
fof(f129,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( multiply(X9,sk_c12) != sk_c11
| inverse(X9) != sk_c11
| multiply(X8,sk_c12) != sk_c11
| inverse(X7) != X8
| multiply(X7,X8) != sk_c11
| multiply(X6,sk_c11) != sk_c12
| inverse(X6) != sk_c12
| multiply(X5,sk_c11) != sk_c12
| inverse(X4) != X5
| multiply(X4,X5) != sk_c12
| inverse(X3) != sk_c12
| multiply(X3,sk_c12) != X2
| multiply(sk_c12,X2) != sk_c11
| multiply(X1,sk_c11) != sk_c12
| inverse(X0) != X1
| multiply(X0,X1) != sk_c12 ),
inference(cnf_transformation,[status(thm)],[f128]) ).
fof(f130,definition,
( sQ0_spl
<=> multiply(sk_c1,sk_c2) = sk_c12 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f131,plain,
( ~ sQ0_spl
| multiply(sk_c1,sk_c2) = sk_c12 ),
inference(component_clause,[status(thm)],[f130]) ).
fof(f133,definition,
( sQ1_spl
<=> multiply(sk_c5,sk_c6) = sk_c12 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f134,plain,
( ~ sQ1_spl
| multiply(sk_c5,sk_c6) = sk_c12 ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f136,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f68,f130,f133]) ).
fof(f137,definition,
( sQ2_spl
<=> inverse(sk_c5) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f138,plain,
( ~ sQ2_spl
| inverse(sk_c5) = sk_c6 ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f140,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f69,f130,f137]) ).
fof(f141,definition,
( sQ3_spl
<=> multiply(sk_c6,sk_c11) = sk_c12 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f144,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f70,f130,f141]) ).
fof(f145,definition,
( sQ4_spl
<=> inverse(sk_c7) = sk_c12 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f146,plain,
( ~ sQ4_spl
| inverse(sk_c7) = sk_c12 ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f148,plain,
( sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f71,f130,f145]) ).
fof(f149,definition,
( sQ5_spl
<=> multiply(sk_c7,sk_c11) = sk_c12 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f150,plain,
( ~ sQ5_spl
| multiply(sk_c7,sk_c11) = sk_c12 ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f152,plain,
( sQ5_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f72,f130,f149]) ).
fof(f153,definition,
( sQ6_spl
<=> multiply(sk_c8,sk_c9) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f154,plain,
( ~ sQ6_spl
| multiply(sk_c8,sk_c9) = sk_c11 ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f156,plain,
( sQ6_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f73,f130,f153]) ).
fof(f157,definition,
( sQ7_spl
<=> inverse(sk_c8) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f158,plain,
( ~ sQ7_spl
| inverse(sk_c8) = sk_c9 ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f160,plain,
( sQ7_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f74,f130,f157]) ).
fof(f161,definition,
( sQ8_spl
<=> multiply(sk_c9,sk_c12) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f162,plain,
( ~ sQ8_spl
| multiply(sk_c9,sk_c12) = sk_c11 ),
inference(component_clause,[status(thm)],[f161]) ).
fof(f164,plain,
( sQ8_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f75,f130,f161]) ).
fof(f165,definition,
( sQ9_spl
<=> inverse(sk_c10) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f166,plain,
( ~ sQ9_spl
| inverse(sk_c10) = sk_c11 ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f168,plain,
( sQ9_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f76,f130,f165]) ).
fof(f169,definition,
( sQ10_spl
<=> multiply(sk_c10,sk_c12) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f170,plain,
( ~ sQ10_spl
| multiply(sk_c10,sk_c12) = sk_c11 ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f172,plain,
( sQ10_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f77,f130,f169]) ).
fof(f173,definition,
( sQ11_spl
<=> inverse(sk_c1) = sk_c2 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f174,plain,
( ~ sQ11_spl
| inverse(sk_c1) = sk_c2 ),
inference(component_clause,[status(thm)],[f173]) ).
fof(f176,plain,
( sQ1_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f78,f173,f133]) ).
fof(f177,plain,
( sQ2_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f79,f173,f137]) ).
fof(f178,plain,
( sQ3_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f80,f173,f141]) ).
fof(f179,plain,
( sQ4_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f81,f173,f145]) ).
fof(f180,plain,
( sQ5_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f82,f173,f149]) ).
fof(f181,plain,
( sQ6_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f83,f173,f153]) ).
fof(f182,plain,
( sQ7_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f84,f173,f157]) ).
fof(f183,plain,
( sQ8_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f85,f173,f161]) ).
fof(f184,plain,
( sQ9_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f86,f173,f165]) ).
fof(f185,plain,
( sQ10_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f87,f173,f169]) ).
fof(f186,definition,
( sQ12_spl
<=> multiply(sk_c2,sk_c11) = sk_c12 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f189,plain,
( sQ1_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f88,f186,f133]) ).
fof(f190,plain,
( sQ2_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f89,f186,f137]) ).
fof(f191,plain,
( sQ3_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f90,f186,f141]) ).
fof(f192,plain,
( sQ4_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f91,f186,f145]) ).
fof(f193,plain,
( sQ5_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f92,f186,f149]) ).
fof(f194,plain,
( sQ6_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f93,f186,f153]) ).
fof(f195,plain,
( sQ7_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f94,f186,f157]) ).
fof(f196,plain,
( sQ8_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f95,f186,f161]) ).
fof(f197,plain,
( sQ9_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f96,f186,f165]) ).
fof(f198,plain,
( sQ10_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f97,f186,f169]) ).
fof(f199,definition,
( sQ13_spl
<=> multiply(sk_c12,sk_c4) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f200,plain,
( ~ sQ13_spl
| multiply(sk_c12,sk_c4) = sk_c11 ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f202,plain,
( sQ1_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f98,f199,f133]) ).
fof(f203,plain,
( sQ2_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f99,f199,f137]) ).
fof(f204,plain,
( sQ3_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f100,f199,f141]) ).
fof(f205,plain,
( sQ4_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f101,f199,f145]) ).
fof(f206,plain,
( sQ5_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f102,f199,f149]) ).
fof(f207,plain,
( sQ6_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f103,f199,f153]) ).
fof(f208,plain,
( sQ7_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f104,f199,f157]) ).
fof(f209,plain,
( sQ8_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f105,f199,f161]) ).
fof(f210,plain,
( sQ9_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f106,f199,f165]) ).
fof(f211,plain,
( sQ10_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f107,f199,f169]) ).
fof(f212,definition,
( sQ14_spl
<=> multiply(sk_c3,sk_c12) = sk_c4 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f213,plain,
( ~ sQ14_spl
| multiply(sk_c3,sk_c12) = sk_c4 ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,plain,
( sQ1_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f108,f212,f133]) ).
fof(f216,plain,
( sQ2_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f109,f212,f137]) ).
fof(f217,plain,
( sQ3_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f110,f212,f141]) ).
fof(f218,plain,
( sQ4_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f111,f212,f145]) ).
fof(f219,plain,
( sQ5_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f112,f212,f149]) ).
fof(f223,plain,
( sQ9_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f116,f212,f165]) ).
fof(f224,plain,
( sQ10_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f117,f212,f169]) ).
fof(f225,definition,
( sQ15_spl
<=> inverse(sk_c3) = sk_c12 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f226,plain,
( ~ sQ15_spl
| inverse(sk_c3) = sk_c12 ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f228,plain,
( sQ1_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f118,f225,f133]) ).
fof(f229,plain,
( sQ2_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f119,f225,f137]) ).
fof(f230,plain,
( sQ3_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f120,f225,f141]) ).
fof(f231,plain,
( sQ4_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f121,f225,f145]) ).
fof(f232,plain,
( sQ5_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f122,f225,f149]) ).
fof(f236,plain,
( sQ9_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f126,f225,f165]) ).
fof(f237,plain,
( sQ10_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f127,f225,f169]) ).
fof(f238,definition,
! [X0,X1] :
( sQ16_spl
<=> ( multiply(X1,sk_c11) != sk_c12
| inverse(X0) != X1
| multiply(X0,X1) != sk_c12 ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f239,plain,
! [X0,X1] :
( ~ sQ16_spl
| multiply(X1,sk_c11) != sk_c12
| inverse(X0) != X1
| multiply(X0,X1) != sk_c12 ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f241,definition,
! [X2,X3] :
( sQ17_spl
<=> ( inverse(X3) != sk_c12
| multiply(X3,sk_c12) != X2
| multiply(sk_c12,X2) != sk_c11 ) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f242,plain,
! [X0,X1] :
( ~ sQ17_spl
| inverse(X1) != sk_c12
| multiply(X1,sk_c12) != X0
| multiply(sk_c12,X0) != sk_c11 ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,definition,
! [X6] :
( sQ18_spl
<=> ( multiply(X6,sk_c11) != sk_c12
| inverse(X6) != sk_c12 ) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f245,plain,
! [X0] :
( ~ sQ18_spl
| multiply(X0,sk_c11) != sk_c12
| inverse(X0) != sk_c12 ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,definition,
! [X7,X8] :
( sQ19_spl
<=> ( multiply(X8,sk_c12) != sk_c11
| inverse(X7) != X8
| multiply(X7,X8) != sk_c11 ) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f248,plain,
! [X0,X1] :
( ~ sQ19_spl
| multiply(X1,sk_c12) != sk_c11
| inverse(X0) != X1
| multiply(X0,X1) != sk_c11 ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f250,definition,
! [X9] :
( sQ20_spl
<=> ( multiply(X9,sk_c12) != sk_c11
| inverse(X9) != sk_c11 ) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f251,plain,
! [X0] :
( ~ sQ20_spl
| multiply(X0,sk_c12) != sk_c11
| inverse(X0) != sk_c11 ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f253,plain,
( sQ20_spl
| sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f129,f238,f241,f244,f247,f250]) ).
fof(f258,plain,
! [X0] :
( ~ sQ6_spl
| multiply(sk_c11,X0) = multiply(sk_c8,multiply(sk_c9,X0)) ),
inference(paramodulation,[status(thm)],[f154,f67]) ).
fof(f268,plain,
( ~ sQ10_spl
| ~ sQ20_spl
| inverse(sk_c10) != sk_c11 ),
inference(resolution,[status(thm)],[f251,f170]) ).
fof(f272,plain,
( ~ sQ14_spl
| ~ sQ20_spl
| sk_c4 != sk_c11
| inverse(sk_c3) != sk_c11 ),
inference(paramodulation,[status(thm)],[f213,f251]) ).
fof(f273,plain,
( ~ sQ10_spl
| ~ sQ20_spl
| ~ sQ9_spl
| sk_c11 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f166,f268]) ).
fof(f274,plain,
( ~ sQ10_spl
| ~ sQ20_spl
| ~ sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f273]) ).
fof(f275,plain,
( ~ sQ10_spl
| ~ sQ20_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f274]) ).
fof(f276,plain,
! [X0] :
( ~ sQ19_spl
| multiply(inverse(X0),sk_c12) != sk_c11
| multiply(X0,inverse(X0)) != sk_c11 ),
inference(destructive_equality_resolution,[status(thm)],[f248]) ).
fof(f277,plain,
! [X0] :
( ~ sQ17_spl
| inverse(X0) != sk_c12
| multiply(sk_c12,multiply(X0,sk_c12)) != sk_c11 ),
inference(destructive_equality_resolution,[status(thm)],[f242]) ).
fof(f278,plain,
! [X0] :
( ~ sQ16_spl
| multiply(inverse(X0),sk_c11) != sk_c12
| multiply(X0,inverse(X0)) != sk_c12 ),
inference(destructive_equality_resolution,[status(thm)],[f239]) ).
fof(f281,plain,
( ~ sQ4_spl
| multiply(sk_c12,sk_c7) = identity ),
inference(paramodulation,[status(thm)],[f146,f66]) ).
fof(f285,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f66,f67]) ).
fof(f286,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f65,f285]) ).
fof(f309,plain,
( ~ sQ5_spl
| sk_c11 = multiply(inverse(sk_c7),sk_c12) ),
inference(paramodulation,[status(thm)],[f150,f286]) ).
fof(f310,plain,
( ~ sQ6_spl
| sk_c9 = multiply(inverse(sk_c8),sk_c11) ),
inference(paramodulation,[status(thm)],[f154,f286]) ).
fof(f314,plain,
( ~ sQ0_spl
| sk_c2 = multiply(inverse(sk_c1),sk_c12) ),
inference(paramodulation,[status(thm)],[f131,f286]) ).
fof(f320,plain,
( ~ sQ14_spl
| sk_c12 = multiply(inverse(sk_c3),sk_c4) ),
inference(paramodulation,[status(thm)],[f213,f286]) ).
fof(f323,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| sk_c11 = multiply(sk_c12,sk_c12) ),
inference(forward_demodulation,[status(thm)],[f146,f309]) ).
fof(f324,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| sk_c9 = multiply(sk_c9,sk_c11) ),
inference(forward_demodulation,[status(thm)],[f158,f310]) ).
fof(f325,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| sk_c2 = multiply(sk_c2,sk_c12) ),
inference(forward_demodulation,[status(thm)],[f174,f314]) ).
fof(f326,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| sk_c12 = multiply(sk_c12,sk_c4) ),
inference(forward_demodulation,[status(thm)],[f226,f320]) ).
fof(f327,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ13_spl
| sk_c12 = sk_c11 ),
inference(forward_demodulation,[status(thm)],[f200,f326]) ).
fof(f341,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| inverse(sk_c3) = sk_c11 ),
inference(backward_demodulation,[status(thm)],[f327,f226]) ).
fof(f362,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ13_spl
| multiply(inverse(X0),sk_c11) != sk_c11
| multiply(X0,inverse(X0)) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f327,f276]) ).
fof(f363,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ19_spl
| multiply(sk_c11,sk_c11) != sk_c11
| multiply(sk_c3,inverse(sk_c3)) != sk_c11 ),
inference(paramodulation,[status(thm)],[f341,f362]) ).
fof(f368,definition,
( sQ21_spl
<=> multiply(sk_c3,inverse(sk_c3)) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f370,plain,
( sQ21_spl
| multiply(sk_c3,inverse(sk_c3)) != sk_c11 ),
inference(component_clause,[status(thm)],[f368]) ).
fof(f371,definition,
( sQ22_spl
<=> multiply(sk_c11,sk_c11) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f373,plain,
( sQ22_spl
| multiply(sk_c11,sk_c11) != sk_c11 ),
inference(component_clause,[status(thm)],[f371]) ).
fof(f374,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ19_spl
| ~ sQ22_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f363,f368,f371,f247,f199,f212,f225]) ).
fof(f386,definition,
( sQ26_spl
<=> multiply(sk_c8,inverse(sk_c8)) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f388,plain,
( sQ26_spl
| multiply(sk_c8,inverse(sk_c8)) != sk_c11 ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f401,plain,
( sQ26_spl
| ~ sQ7_spl
| multiply(sk_c8,sk_c9) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f158,f388]) ).
fof(f402,plain,
( sQ26_spl
| ~ sQ7_spl
| ~ sQ6_spl
| sk_c11 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f154,f401]) ).
fof(f403,plain,
( sQ26_spl
| ~ sQ7_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f402]) ).
fof(f404,plain,
( sQ26_spl
| ~ sQ7_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f403]) ).
fof(f408,plain,
( sQ21_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| multiply(sk_c3,sk_c11) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f341,f370]) ).
fof(f434,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ13_spl
| multiply(inverse(X0),sk_c11) != sk_c12
| multiply(X0,inverse(X0)) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f327,f278]) ).
fof(f435,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ13_spl
| multiply(inverse(X0),sk_c11) != sk_c11
| multiply(X0,inverse(X0)) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f327,f434]) ).
fof(f436,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ16_spl
| multiply(sk_c11,sk_c11) != sk_c11
| multiply(sk_c3,inverse(sk_c3)) != sk_c11 ),
inference(paramodulation,[status(thm)],[f341,f435]) ).
fof(f439,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ22_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f436,f368,f371,f238,f199,f212,f225]) ).
fof(f555,definition,
( sQ34_spl
<=> inverse(sk_c3) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f557,plain,
( sQ34_spl
| inverse(sk_c3) != sk_c11 ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f560,plain,
( sQ34_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| sk_c11 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f341,f557]) ).
fof(f561,plain,
( sQ34_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f560]) ).
fof(f562,plain,
( sQ34_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f561]) ).
fof(f591,plain,
( ~ sQ17_spl
| inverse(identity) != sk_c12
| multiply(sk_c12,sk_c12) != sk_c11 ),
inference(paramodulation,[status(thm)],[f65,f277]) ).
fof(f593,plain,
( ~ sQ17_spl
| inverse(inverse(sk_c12)) != sk_c12
| multiply(sk_c12,identity) != sk_c11 ),
inference(paramodulation,[status(thm)],[f66,f277]) ).
fof(f595,definition,
( sQ35_spl
<=> multiply(sk_c12,sk_c12) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f596,plain,
( ~ sQ35_spl
| multiply(sk_c12,sk_c12) = sk_c11 ),
inference(component_clause,[status(thm)],[f595]) ).
fof(f598,definition,
( sQ36_spl
<=> inverse(identity) = sk_c12 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f600,plain,
( sQ36_spl
| inverse(identity) != sk_c12 ),
inference(component_clause,[status(thm)],[f598]) ).
fof(f601,plain,
( ~ sQ17_spl
| ~ sQ36_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f591,f595,f598,f241]) ).
fof(f606,definition,
( sQ38_spl
<=> multiply(sk_c12,identity) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f608,plain,
( sQ38_spl
| multiply(sk_c12,identity) != sk_c11 ),
inference(component_clause,[status(thm)],[f606]) ).
fof(f609,definition,
( sQ39_spl
<=> inverse(inverse(sk_c12)) = sk_c12 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f611,plain,
( sQ39_spl
| inverse(inverse(sk_c12)) != sk_c12 ),
inference(component_clause,[status(thm)],[f609]) ).
fof(f612,plain,
( ~ sQ17_spl
| ~ sQ39_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f593,f606,f609,f241]) ).
fof(f620,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| sk_c12 = multiply(inverse(sk_c2),sk_c2) ),
inference(paramodulation,[status(thm)],[f325,f286]) ).
fof(f622,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| sk_c12 = identity ),
inference(forward_demodulation,[status(thm)],[f66,f620]) ).
fof(f623,plain,
( sQ36_spl
| ~ sQ0_spl
| ~ sQ11_spl
| inverse(sk_c12) != sk_c12 ),
inference(backward_demodulation,[status(thm)],[f622,f600]) ).
fof(f625,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ11_spl
| multiply(inverse(X0),X0) = sk_c12 ),
inference(backward_demodulation,[status(thm)],[f622,f66]) ).
fof(f628,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ11_spl
| multiply(sk_c12,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f622,f65]) ).
fof(f629,plain,
( ~ sQ5_spl
| sk_c11 = multiply(inverse(sk_c7),sk_c12) ),
inference(paramodulation,[status(thm)],[f150,f286]) ).
fof(f631,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| sk_c11 = multiply(sk_c12,sk_c12) ),
inference(forward_demodulation,[status(thm)],[f146,f629]) ).
fof(f634,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ0_spl
| ~ sQ11_spl
| sk_c11 = sk_c12 ),
inference(forward_demodulation,[status(thm)],[f628,f323]) ).
fof(f639,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ5_spl
| ~ sQ4_spl
| multiply(sk_c11,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f634,f628]) ).
fof(f640,plain,
( sQ36_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ5_spl
| ~ sQ4_spl
| inverse(sk_c12) != sk_c11 ),
inference(backward_demodulation,[status(thm)],[f634,f623]) ).
fof(f642,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ5_spl
| ~ sQ4_spl
| sk_c11 = identity ),
inference(backward_demodulation,[status(thm)],[f634,f622]) ).
fof(f647,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ11_spl
| inverse(sk_c7) = sk_c11 ),
inference(backward_demodulation,[status(thm)],[f634,f146]) ).
fof(f648,plain,
( sQ36_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ5_spl
| ~ sQ4_spl
| inverse(sk_c11) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f634,f640]) ).
fof(f667,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ11_spl
| X0 = multiply(sk_c11,multiply(sk_c7,X0)) ),
inference(paramodulation,[status(thm)],[f647,f286]) ).
fof(f668,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ11_spl
| X0 = multiply(sk_c7,X0) ),
inference(forward_demodulation,[status(thm)],[f639,f667]) ).
fof(f679,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ11_spl
| multiply(sk_c11,sk_c7) = identity ),
inference(forward_demodulation,[status(thm)],[f634,f281]) ).
fof(f680,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ11_spl
| sk_c7 = identity ),
inference(forward_demodulation,[status(thm)],[f639,f679]) ).
fof(f682,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ11_spl
| inverse(sk_c7) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f695,f647]) ).
fof(f684,plain,
( sQ36_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ5_spl
| ~ sQ4_spl
| inverse(sk_c11) != sk_c7 ),
inference(backward_demodulation,[status(thm)],[f695,f648]) ).
fof(f688,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ0_spl
| ~ sQ11_spl
| sk_c7 = sk_c12 ),
inference(backward_demodulation,[status(thm)],[f695,f634]) ).
fof(f695,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ11_spl
| sk_c7 = sk_c11 ),
inference(forward_demodulation,[status(thm)],[f642,f680]) ).
fof(f696,plain,
( sQ36_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ5_spl
| ~ sQ4_spl
| inverse(sk_c7) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f695,f684]) ).
fof(f700,plain,
( sQ36_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ5_spl
| ~ sQ4_spl
| sk_c7 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f682,f696]) ).
fof(f701,plain,
( sQ36_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ5_spl
| ~ sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f700]) ).
fof(f702,plain,
( sQ36_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ5_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f701]) ).
fof(f718,plain,
( ~ sQ13_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ0_spl
| ~ sQ11_spl
| multiply(sk_c7,sk_c4) = sk_c11 ),
inference(forward_demodulation,[status(thm)],[f688,f200]) ).
fof(f719,plain,
( ~ sQ13_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ0_spl
| ~ sQ11_spl
| sk_c4 = sk_c11 ),
inference(forward_demodulation,[status(thm)],[f668,f718]) ).
fof(f720,plain,
( ~ sQ13_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ0_spl
| ~ sQ11_spl
| sk_c4 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f695,f719]) ).
fof(f731,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ13_spl
| inverse(sk_c7) = sk_c4 ),
inference(backward_demodulation,[status(thm)],[f720,f682]) ).
fof(f733,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ13_spl
| sk_c4 = sk_c12 ),
inference(backward_demodulation,[status(thm)],[f720,f688]) ).
fof(f735,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ13_spl
| sk_c4 = sk_c11 ),
inference(backward_demodulation,[status(thm)],[f720,f695]) ).
fof(f736,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ13_spl
| X0 = multiply(sk_c4,X0) ),
inference(backward_demodulation,[status(thm)],[f720,f668]) ).
fof(f738,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ13_spl
| inverse(sk_c4) = sk_c4 ),
inference(forward_demodulation,[status(thm)],[f720,f731]) ).
fof(f800,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ13_spl
| multiply(inverse(X0),sk_c12) != sk_c11
| multiply(X0,inverse(X0)) != sk_c4 ),
inference(forward_demodulation,[status(thm)],[f735,f276]) ).
fof(f801,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ13_spl
| multiply(inverse(X0),sk_c4) != sk_c11
| multiply(X0,inverse(X0)) != sk_c4 ),
inference(forward_demodulation,[status(thm)],[f733,f800]) ).
fof(f802,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ13_spl
| multiply(inverse(X0),sk_c4) != sk_c4
| multiply(X0,inverse(X0)) != sk_c4 ),
inference(forward_demodulation,[status(thm)],[f735,f801]) ).
fof(f803,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ13_spl
| multiply(inverse(X0),X0) = sk_c4 ),
inference(forward_demodulation,[status(thm)],[f733,f625]) ).
fof(f896,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ13_spl
| ~ sQ19_spl
| multiply(sk_c4,inverse(sk_c4)) != sk_c4 ),
inference(resolution,[status(thm)],[f802,f803]) ).
fof(f899,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ13_spl
| ~ sQ19_spl
| inverse(sk_c4) != sk_c4 ),
inference(forward_demodulation,[status(thm)],[f736,f896]) ).
fof(f900,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ13_spl
| ~ sQ19_spl
| sk_c4 != sk_c4 ),
inference(forward_demodulation,[status(thm)],[f738,f899]) ).
fof(f901,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ13_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f900]) ).
fof(f902,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ13_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f901]) ).
fof(f931,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ13_spl
| sk_c11 = identity ),
inference(backward_demodulation,[status(thm)],[f327,f622]) ).
fof(f933,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ13_spl
| multiply(sk_c11,X0) = X0 ),
inference(forward_demodulation,[status(thm)],[f327,f628]) ).
fof(f937,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| X0 = multiply(sk_c11,multiply(sk_c3,X0)) ),
inference(paramodulation,[status(thm)],[f341,f286]) ).
fof(f938,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| X0 = multiply(sk_c3,X0) ),
inference(forward_demodulation,[status(thm)],[f933,f937]) ).
fof(f942,plain,
( sQ21_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| sk_c11 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f938,f408]) ).
fof(f943,plain,
( sQ21_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f942]) ).
fof(f944,plain,
( sQ21_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f943]) ).
fof(f946,plain,
( sQ38_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ13_spl
| multiply(sk_c11,identity) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f327,f608]) ).
fof(f947,plain,
( sQ38_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| identity != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f933,f946]) ).
fof(f948,plain,
( sQ38_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| sk_c11 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f931,f947]) ).
fof(f949,plain,
( sQ38_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f948]) ).
fof(f950,plain,
( sQ38_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f949]) ).
fof(f953,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ13_spl
| multiply(X0,sk_c11) != sk_c12
| inverse(X0) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f327,f245]) ).
fof(f954,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ13_spl
| multiply(X0,sk_c11) != sk_c11
| inverse(X0) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f327,f953]) ).
fof(f956,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ18_spl
| inverse(sk_c3) != sk_c11 ),
inference(resolution,[status(thm)],[f954,f938]) ).
fof(f960,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ18_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f956,f555,f244,f173,f130,f199,f212,f225]) ).
fof(f961,definition,
( sQ49_spl
<=> sk_c11 = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f963,plain,
( sQ49_spl
| sk_c11 != sk_c11 ),
inference(component_clause,[status(thm)],[f961]) ).
fof(f966,plain,
( sQ49_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f963]) ).
fof(f967,plain,
sQ49_spl,
inference(contradiction_clause,[status(thm)],[f966]) ).
fof(f970,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ13_spl
| multiply(inverse(X0),X0) = sk_c11 ),
inference(forward_demodulation,[status(thm)],[f327,f625]) ).
fof(f971,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| multiply(sk_c11,sk_c3) = sk_c11 ),
inference(paramodulation,[status(thm)],[f341,f970]) ).
fof(f975,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| sk_c3 = sk_c11 ),
inference(forward_demodulation,[status(thm)],[f933,f971]) ).
fof(f977,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| sk_c12 = sk_c4 ),
inference(forward_demodulation,[status(thm)],[f938,f213]) ).
fof(f980,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| inverse(sk_c3) = sk_c4 ),
inference(backward_demodulation,[status(thm)],[f987,f341]) ).
fof(f985,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| sk_c12 = sk_c4 ),
inference(backward_demodulation,[status(thm)],[f987,f327]) ).
fof(f987,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| sk_c11 = sk_c4 ),
inference(forward_demodulation,[status(thm)],[f327,f977]) ).
fof(f988,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| sk_c11 = sk_c3 ),
inference(backward_demodulation,[status(thm)],[f989,f987]) ).
fof(f989,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| sk_c3 = sk_c4 ),
inference(forward_demodulation,[status(thm)],[f987,f975]) ).
fof(f991,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| sk_c12 = sk_c3 ),
inference(forward_demodulation,[status(thm)],[f989,f985]) ).
fof(f997,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| inverse(sk_c3) = sk_c3 ),
inference(forward_demodulation,[status(thm)],[f989,f980]) ).
fof(f1009,plain,
( sQ39_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| inverse(inverse(sk_c3)) != sk_c12 ),
inference(forward_demodulation,[status(thm)],[f991,f611]) ).
fof(f1010,plain,
( sQ39_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| inverse(sk_c3) != sk_c12 ),
inference(forward_demodulation,[status(thm)],[f997,f1009]) ).
fof(f1011,plain,
( sQ39_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| sk_c3 != sk_c12 ),
inference(forward_demodulation,[status(thm)],[f997,f1010]) ).
fof(f1012,plain,
( sQ39_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| sk_c3 != sk_c3 ),
inference(forward_demodulation,[status(thm)],[f991,f1011]) ).
fof(f1013,plain,
( sQ39_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1012]) ).
fof(f1014,plain,
( sQ39_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f1013]) ).
fof(f1075,plain,
( sQ22_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| multiply(sk_c3,sk_c11) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f988,f373]) ).
fof(f1076,plain,
( sQ22_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| sk_c11 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f938,f1075]) ).
fof(f1077,plain,
( sQ22_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| sk_c3 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f988,f1076]) ).
fof(f1078,plain,
( sQ22_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| sk_c3 != sk_c3 ),
inference(forward_demodulation,[status(thm)],[f988,f1077]) ).
fof(f1079,plain,
( sQ22_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1078]) ).
fof(f1080,plain,
( sQ22_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f1079]) ).
fof(f1110,definition,
( sQ50_spl
<=> sk_c4 = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f1112,plain,
( sQ50_spl
| sk_c4 != sk_c11 ),
inference(component_clause,[status(thm)],[f1110]) ).
fof(f1113,plain,
( ~ sQ14_spl
| ~ sQ20_spl
| ~ sQ50_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f272,f555,f1110,f250,f212]) ).
fof(f1114,plain,
( sQ50_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| sk_c3 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f989,f1112]) ).
fof(f1115,plain,
( sQ50_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| sk_c3 != sk_c3 ),
inference(forward_demodulation,[status(thm)],[f988,f1114]) ).
fof(f1116,plain,
( sQ50_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1115]) ).
fof(f1117,plain,
( sQ50_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f1116]) ).
fof(f1421,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f631,f595,f145,f149]) ).
fof(f1455,plain,
( ~ sQ10_spl
| sk_c12 = multiply(inverse(sk_c10),sk_c11) ),
inference(paramodulation,[status(thm)],[f170,f286]) ).
fof(f1457,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| sk_c12 = multiply(sk_c11,sk_c11) ),
inference(forward_demodulation,[status(thm)],[f166,f1455]) ).
fof(f1490,plain,
( ~ sQ7_spl
| ~ sQ19_spl
| multiply(sk_c9,sk_c12) != sk_c11
| multiply(sk_c8,inverse(sk_c8)) != sk_c11 ),
inference(paramodulation,[status(thm)],[f158,f276]) ).
fof(f1517,plain,
( ~ sQ7_spl
| ~ sQ19_spl
| ~ sQ8_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1490,f386,f161,f247,f157]) ).
fof(f1525,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| multiply(sk_c6,sk_c11) != sk_c12
| multiply(sk_c5,inverse(sk_c5)) != sk_c12 ),
inference(paramodulation,[status(thm)],[f138,f278]) ).
fof(f1552,definition,
( sQ65_spl
<=> multiply(sk_c5,inverse(sk_c5)) = sk_c12 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f1554,plain,
( sQ65_spl
| multiply(sk_c5,inverse(sk_c5)) != sk_c12 ),
inference(component_clause,[status(thm)],[f1552]) ).
fof(f1555,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| ~ sQ3_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f1525,f1552,f141,f238,f137]) ).
fof(f1563,plain,
( sQ65_spl
| ~ sQ2_spl
| multiply(sk_c5,sk_c6) != sk_c12 ),
inference(forward_demodulation,[status(thm)],[f138,f1554]) ).
fof(f1564,plain,
( sQ65_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sk_c12 != sk_c12 ),
inference(forward_demodulation,[status(thm)],[f134,f1563]) ).
fof(f1565,plain,
( sQ65_spl
| ~ sQ2_spl
| ~ sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1564]) ).
fof(f1566,plain,
( sQ65_spl
| ~ sQ2_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f1565]) ).
fof(f1620,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| multiply(sk_c11,sk_c11) = multiply(sk_c8,sk_c9) ),
inference(paramodulation,[status(thm)],[f324,f258]) ).
fof(f1623,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ9_spl
| sk_c12 = multiply(sk_c8,sk_c9) ),
inference(forward_demodulation,[status(thm)],[f1457,f1620]) ).
fof(f1624,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ9_spl
| sk_c12 = sk_c11 ),
inference(forward_demodulation,[status(thm)],[f154,f1623]) ).
fof(f1636,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| inverse(sk_c7) != sk_c12 ),
inference(resolution,[status(thm)],[f245,f150]) ).
fof(f1646,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1636,f145,f244,f149]) ).
fof(f1650,definition,
( sQ75_spl
<=> sk_c12 = sk_c12 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f1652,plain,
( sQ75_spl
| sk_c12 != sk_c12 ),
inference(component_clause,[status(thm)],[f1650]) ).
fof(f1666,plain,
( sQ75_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1652]) ).
fof(f1667,plain,
sQ75_spl,
inference(contradiction_clause,[status(thm)],[f1666]) ).
fof(f1677,plain,
( ~ sQ35_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ9_spl
| multiply(sk_c12,sk_c11) = sk_c11 ),
inference(backward_demodulation,[status(thm)],[f1624,f596]) ).
fof(f1680,plain,
( ~ sQ8_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ9_spl
| multiply(sk_c9,sk_c11) = sk_c11 ),
inference(backward_demodulation,[status(thm)],[f1624,f162]) ).
fof(f1684,plain,
( ~ sQ4_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ9_spl
| multiply(sk_c11,sk_c7) = identity ),
inference(backward_demodulation,[status(thm)],[f1624,f281]) ).
fof(f1686,plain,
( ~ sQ4_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ9_spl
| inverse(sk_c7) = sk_c11 ),
inference(backward_demodulation,[status(thm)],[f1624,f146]) ).
fof(f1689,plain,
( ~ sQ35_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ9_spl
| multiply(sk_c11,sk_c11) = sk_c11 ),
inference(forward_demodulation,[status(thm)],[f1624,f1677]) ).
fof(f1690,plain,
( ~ sQ8_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ9_spl
| sk_c9 = sk_c11 ),
inference(forward_demodulation,[status(thm)],[f324,f1680]) ).
fof(f1699,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| sk_c12 = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f1690,f1624]) ).
fof(f1766,plain,
( ~ sQ4_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| inverse(sk_c7) = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1690,f1686]) ).
fof(f1812,plain,
( sQ38_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| multiply(sk_c9,identity) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f1699,f608]) ).
fof(f1813,plain,
( sQ38_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| multiply(sk_c9,identity) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1690,f1812]) ).
fof(f1825,plain,
( ~ sQ35_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| multiply(sk_c9,sk_c11) = sk_c11 ),
inference(forward_demodulation,[status(thm)],[f1690,f1689]) ).
fof(f1826,plain,
( ~ sQ35_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| multiply(sk_c9,sk_c9) = sk_c11 ),
inference(forward_demodulation,[status(thm)],[f1690,f1825]) ).
fof(f1827,plain,
( ~ sQ35_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| multiply(sk_c9,sk_c9) = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1690,f1826]) ).
fof(f1829,plain,
( ~ sQ35_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| sk_c9 = multiply(inverse(sk_c9),sk_c9) ),
inference(paramodulation,[status(thm)],[f1827,f286]) ).
fof(f1835,plain,
( ~ sQ35_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| sk_c9 = identity ),
inference(forward_demodulation,[status(thm)],[f66,f1829]) ).
fof(f1841,plain,
( sQ38_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ35_spl
| multiply(sk_c9,sk_c9) != sk_c9 ),
inference(backward_demodulation,[status(thm)],[f1835,f1813]) ).
fof(f1847,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| multiply(sk_c9,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f1835,f65]) ).
fof(f1849,plain,
( sQ38_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ35_spl
| sk_c9 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1827,f1841]) ).
fof(f1850,plain,
( sQ38_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ35_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1849]) ).
fof(f1851,plain,
( sQ38_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f1850]) ).
fof(f1855,plain,
( sQ39_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| inverse(inverse(sk_c9)) != sk_c12 ),
inference(forward_demodulation,[status(thm)],[f1699,f611]) ).
fof(f1856,plain,
( sQ39_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| inverse(inverse(sk_c9)) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1699,f1855]) ).
fof(f1862,plain,
( ~ sQ4_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| multiply(sk_c9,sk_c7) = identity ),
inference(forward_demodulation,[status(thm)],[f1690,f1684]) ).
fof(f1863,plain,
( ~ sQ4_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ35_spl
| sk_c7 = identity ),
inference(forward_demodulation,[status(thm)],[f1847,f1862]) ).
fof(f1864,plain,
( ~ sQ4_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ35_spl
| inverse(sk_c9) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f1865,f1766]) ).
fof(f1865,plain,
( ~ sQ4_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ35_spl
| sk_c7 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1835,f1863]) ).
fof(f1876,plain,
( sQ39_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ4_spl
| ~ sQ35_spl
| inverse(sk_c9) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1864,f1856]) ).
fof(f1877,plain,
( sQ39_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ4_spl
| ~ sQ35_spl
| sk_c9 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1864,f1876]) ).
fof(f1878,plain,
( sQ39_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ4_spl
| ~ sQ35_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1877]) ).
fof(f1879,plain,
( sQ39_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ4_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f1878]) ).
fof(f1880,plain,
$false,
inference(sat_refutation,[status(thm)],[f136,f140,f144,f148,f152,f156,f160,f164,f168,f172,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f189,f190,f191,f192,f193,f194,f195,f196,f197,f198,f202,f203,f204,f205,f206,f207,f208,f209,f210,f211,f215,f216,f217,f218,f219,f223,f224,f228,f229,f230,f231,f232,f236,f237,f253,f275,f374,f404,f439,f562,f601,f612,f702,f902,f944,f950,f960,f967,f1014,f1080,f1113,f1117,f1421,f1517,f1555,f1566,f1646,f1667,f1851,f1879]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP208-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n019.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 20:06:20 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.41 % Refutation found
% 0.09/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.44 % Elapsed time: 0.075168 seconds
% 0.09/0.44 % CPU time: 0.318776 seconds
% 0.09/0.44 % Total memory used: 109.869 MB
% 0.09/0.44 % Net memory used: 109.535 MB
%------------------------------------------------------------------------------