%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP338-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : 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 12:33:27 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.43s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 109
% Syntax : Number of formulae : 578 ( 13 unt; 55 def)
% Number of atoms : 2636 ( 654 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 3936 (1878 ~;2003 |; 0 &)
% ( 55 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 57 ( 55 usr; 56 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 97 ( 97 !; 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_c3,sk_c11) = sk_c10
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( inverse(sk_c6) = sk_c8
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( inverse(sk_c6) = sk_c8
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
( inverse(sk_c6) = sk_c8
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c2,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c2,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c2,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c2,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c2,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c2,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| multiply(sk_c2,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c2,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
( inverse(sk_c6) = sk_c8
| multiply(sk_c2,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c2,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
( inverse(sk_c6) = sk_c8
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
! [X3,X4,X1,X2,X5,X6,X7,X8] :
( multiply(X7,X6) != X8
| inverse(X8) != X6
| inverse(X7) != X8
| multiply(X6,sk_c10) != sk_c11
| inverse(X5) != X6
| multiply(X5,X6) != sk_c11
| inverse(X2) != sk_c10
| multiply(X2,sk_c10) != sk_c9
| inverse(X1) != sk_c11
| multiply(X1,sk_c11) != sk_c10
| inverse(X4) != sk_c10
| multiply(X4,sk_c10) != sk_c11
| multiply(X3,sk_c10) != sk_c11
| inverse(X3) != sk_c11
| multiply(sk_c10,sk_c11) != sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55,plain,
! [X0] : multiply(identity,X0) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f56,plain,
! [X0] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f57,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f58,plain,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f59,plain,
( inverse(sk_c3) = sk_c11
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f60,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f61,plain,
( inverse(sk_c4) = sk_c10
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f62,plain,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f63,plain,
( inverse(sk_c5) = sk_c8
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f64,plain,
( multiply(sk_c8,sk_c10) = sk_c11
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f65,plain,
( inverse(sk_c7) = sk_c6
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f66,plain,
( inverse(sk_c6) = sk_c8
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f67,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f68,plain,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c1) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f69,plain,
( inverse(sk_c3) = sk_c11
| inverse(sk_c1) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f70,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c1) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f71,plain,
( inverse(sk_c4) = sk_c10
| inverse(sk_c1) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f72,plain,
( multiply(sk_c5,sk_c8) = sk_c11
| inverse(sk_c1) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f73,plain,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f74,plain,
( multiply(sk_c8,sk_c10) = sk_c11
| inverse(sk_c1) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f75,plain,
( inverse(sk_c7) = sk_c6
| inverse(sk_c1) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f76,plain,
( inverse(sk_c6) = sk_c8
| inverse(sk_c1) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f77,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f78,plain,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f79,plain,
( inverse(sk_c3) = sk_c11
| multiply(sk_c1,sk_c10) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f80,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c1,sk_c10) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f81,plain,
( inverse(sk_c4) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f82,plain,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c1,sk_c10) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f83,plain,
( inverse(sk_c5) = sk_c8
| multiply(sk_c1,sk_c10) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f84,plain,
( multiply(sk_c8,sk_c10) = sk_c11
| multiply(sk_c1,sk_c10) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f85,plain,
( inverse(sk_c7) = sk_c6
| multiply(sk_c1,sk_c10) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f86,plain,
( inverse(sk_c6) = sk_c8
| multiply(sk_c1,sk_c10) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f87,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c1,sk_c10) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f88,plain,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c2,sk_c10) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f89,plain,
( inverse(sk_c3) = sk_c11
| multiply(sk_c2,sk_c10) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f90,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c2,sk_c10) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f91,plain,
( inverse(sk_c4) = sk_c10
| multiply(sk_c2,sk_c10) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f92,plain,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c2,sk_c10) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f93,plain,
( inverse(sk_c5) = sk_c8
| multiply(sk_c2,sk_c10) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f94,plain,
( multiply(sk_c8,sk_c10) = sk_c11
| multiply(sk_c2,sk_c10) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f95,plain,
( inverse(sk_c7) = sk_c6
| multiply(sk_c2,sk_c10) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f96,plain,
( inverse(sk_c6) = sk_c8
| multiply(sk_c2,sk_c10) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f97,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c2,sk_c10) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f98,plain,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c2) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f99,plain,
( inverse(sk_c3) = sk_c11
| inverse(sk_c2) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f100,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c2) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f101,plain,
( inverse(sk_c4) = sk_c10
| inverse(sk_c2) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f102,plain,
( multiply(sk_c5,sk_c8) = sk_c11
| inverse(sk_c2) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f103,plain,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f104,plain,
( multiply(sk_c8,sk_c10) = sk_c11
| inverse(sk_c2) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f105,plain,
( inverse(sk_c7) = sk_c6
| inverse(sk_c2) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f106,plain,
( inverse(sk_c6) = sk_c8
| inverse(sk_c2) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f107,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f108,plain,
! [X6,X7,X8] :
( multiply(X7,X6) != X8
| inverse(X8) != X6
| inverse(X7) != X8
| multiply(X6,sk_c10) != sk_c11
| ! [X5] :
( inverse(X5) != X6
| multiply(X5,X6) != sk_c11
| ! [X2] :
( inverse(X2) != sk_c10
| multiply(X2,sk_c10) != sk_c9
| ! [X1] :
( inverse(X1) != sk_c11
| multiply(X1,sk_c11) != sk_c10
| ! [X4] :
( inverse(X4) != sk_c10
| multiply(X4,sk_c10) != sk_c11
| ! [X3] :
( multiply(X3,sk_c10) != sk_c11
| inverse(X3) != sk_c11
| multiply(sk_c10,sk_c11) != sk_c9 ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f54]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( multiply(X6,X5) != X7
| inverse(X7) != X5
| inverse(X6) != X7
| multiply(X5,sk_c10) != sk_c11
| inverse(X4) != X5
| multiply(X4,X5) != sk_c11
| inverse(X3) != sk_c10
| multiply(X3,sk_c10) != sk_c9
| inverse(X2) != sk_c11
| multiply(X2,sk_c11) != sk_c10
| inverse(X1) != sk_c10
| multiply(X1,sk_c10) != sk_c11
| multiply(X0,sk_c10) != sk_c11
| inverse(X0) != sk_c11
| multiply(sk_c10,sk_c11) != sk_c9 ),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f110,definition,
( sQ0_spl
<=> multiply(sk_c10,sk_c11) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f111,plain,
( ~ sQ0_spl
| multiply(sk_c10,sk_c11) = sk_c9 ),
inference(component_clause,[status(thm)],[f110]) ).
fof(f112,plain,
( sQ0_spl
| multiply(sk_c10,sk_c11) != sk_c9 ),
inference(component_clause,[status(thm)],[f110]) ).
fof(f113,definition,
( sQ1_spl
<=> multiply(sk_c3,sk_c11) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f114,plain,
( ~ sQ1_spl
| multiply(sk_c3,sk_c11) = sk_c10 ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f116,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f58,f110,f113]) ).
fof(f117,definition,
( sQ2_spl
<=> inverse(sk_c3) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f118,plain,
( ~ sQ2_spl
| inverse(sk_c3) = sk_c11 ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f120,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f59,f110,f117]) ).
fof(f121,definition,
( sQ3_spl
<=> multiply(sk_c4,sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f122,plain,
( ~ sQ3_spl
| multiply(sk_c4,sk_c10) = sk_c9 ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f124,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f60,f110,f121]) ).
fof(f125,definition,
( sQ4_spl
<=> inverse(sk_c4) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f126,plain,
( ~ sQ4_spl
| inverse(sk_c4) = sk_c10 ),
inference(component_clause,[status(thm)],[f125]) ).
fof(f128,plain,
( sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f61,f110,f125]) ).
fof(f129,definition,
( sQ5_spl
<=> multiply(sk_c5,sk_c8) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f130,plain,
( ~ sQ5_spl
| multiply(sk_c5,sk_c8) = sk_c11 ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f132,plain,
( sQ5_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f62,f110,f129]) ).
fof(f133,definition,
( sQ6_spl
<=> inverse(sk_c5) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f134,plain,
( ~ sQ6_spl
| inverse(sk_c5) = sk_c8 ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f136,plain,
( sQ6_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f63,f110,f133]) ).
fof(f137,definition,
( sQ7_spl
<=> multiply(sk_c8,sk_c10) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f138,plain,
( ~ sQ7_spl
| multiply(sk_c8,sk_c10) = sk_c11 ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f140,plain,
( sQ7_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f64,f110,f137]) ).
fof(f141,definition,
( sQ8_spl
<=> inverse(sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f142,plain,
( ~ sQ8_spl
| inverse(sk_c7) = sk_c6 ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f144,plain,
( sQ8_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f65,f110,f141]) ).
fof(f145,definition,
( sQ9_spl
<=> inverse(sk_c6) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f146,plain,
( ~ sQ9_spl
| inverse(sk_c6) = sk_c8 ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f148,plain,
( sQ9_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f66,f110,f145]) ).
fof(f149,definition,
( sQ10_spl
<=> multiply(sk_c7,sk_c8) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f150,plain,
( ~ sQ10_spl
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f152,plain,
( sQ10_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f67,f110,f149]) ).
fof(f153,definition,
( sQ11_spl
<=> inverse(sk_c1) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f154,plain,
( ~ sQ11_spl
| inverse(sk_c1) = sk_c11 ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f156,plain,
( sQ1_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f68,f153,f113]) ).
fof(f157,plain,
( sQ2_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f69,f153,f117]) ).
fof(f158,plain,
( sQ3_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f70,f153,f121]) ).
fof(f159,plain,
( sQ4_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f71,f153,f125]) ).
fof(f160,plain,
( sQ5_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f72,f153,f129]) ).
fof(f161,plain,
( sQ6_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f73,f153,f133]) ).
fof(f162,plain,
( sQ7_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f74,f153,f137]) ).
fof(f163,plain,
( sQ8_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f75,f153,f141]) ).
fof(f164,plain,
( sQ9_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f76,f153,f145]) ).
fof(f165,plain,
( sQ10_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f77,f153,f149]) ).
fof(f166,definition,
( sQ12_spl
<=> multiply(sk_c1,sk_c10) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f167,plain,
( ~ sQ12_spl
| multiply(sk_c1,sk_c10) = sk_c11 ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f169,plain,
( sQ1_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f78,f166,f113]) ).
fof(f170,plain,
( sQ2_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f79,f166,f117]) ).
fof(f171,plain,
( sQ3_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f80,f166,f121]) ).
fof(f172,plain,
( sQ4_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f81,f166,f125]) ).
fof(f173,plain,
( sQ5_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f82,f166,f129]) ).
fof(f174,plain,
( sQ6_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f83,f166,f133]) ).
fof(f175,plain,
( sQ7_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f84,f166,f137]) ).
fof(f176,plain,
( sQ8_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f85,f166,f141]) ).
fof(f177,plain,
( sQ9_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f86,f166,f145]) ).
fof(f178,plain,
( sQ10_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f87,f166,f149]) ).
fof(f179,definition,
( sQ13_spl
<=> multiply(sk_c2,sk_c10) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f180,plain,
( ~ sQ13_spl
| multiply(sk_c2,sk_c10) = sk_c11 ),
inference(component_clause,[status(thm)],[f179]) ).
fof(f181,plain,
( sQ13_spl
| multiply(sk_c2,sk_c10) != sk_c11 ),
inference(component_clause,[status(thm)],[f179]) ).
fof(f182,plain,
( sQ1_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f88,f179,f113]) ).
fof(f183,plain,
( sQ2_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f89,f179,f117]) ).
fof(f184,plain,
( sQ3_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f90,f179,f121]) ).
fof(f185,plain,
( sQ4_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f91,f179,f125]) ).
fof(f186,plain,
( sQ5_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f92,f179,f129]) ).
fof(f187,plain,
( sQ6_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f93,f179,f133]) ).
fof(f188,plain,
( sQ7_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f94,f179,f137]) ).
fof(f189,plain,
( sQ8_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f95,f179,f141]) ).
fof(f190,plain,
( sQ9_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f96,f179,f145]) ).
fof(f191,plain,
( sQ10_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f97,f179,f149]) ).
fof(f192,definition,
( sQ14_spl
<=> inverse(sk_c2) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f193,plain,
( ~ sQ14_spl
| inverse(sk_c2) = sk_c10 ),
inference(component_clause,[status(thm)],[f192]) ).
fof(f195,plain,
( sQ1_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f98,f192,f113]) ).
fof(f196,plain,
( sQ2_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f99,f192,f117]) ).
fof(f197,plain,
( sQ3_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f100,f192,f121]) ).
fof(f198,plain,
( sQ4_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f101,f192,f125]) ).
fof(f199,plain,
( sQ5_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f102,f192,f129]) ).
fof(f200,plain,
( sQ6_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f103,f192,f133]) ).
fof(f201,plain,
( sQ7_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f104,f192,f137]) ).
fof(f202,plain,
( sQ8_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f105,f192,f141]) ).
fof(f203,plain,
( sQ9_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f106,f192,f145]) ).
fof(f204,plain,
( sQ10_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f107,f192,f149]) ).
fof(f205,definition,
! [X0] :
( sQ15_spl
<=> ( multiply(X0,sk_c10) != sk_c11
| inverse(X0) != sk_c11 ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f206,plain,
! [X0] :
( ~ sQ15_spl
| multiply(X0,sk_c10) != sk_c11
| inverse(X0) != sk_c11 ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f208,definition,
! [X1] :
( sQ16_spl
<=> ( inverse(X1) != sk_c10
| multiply(X1,sk_c10) != sk_c11 ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f209,plain,
! [X0] :
( ~ sQ16_spl
| inverse(X0) != sk_c10
| multiply(X0,sk_c10) != sk_c11 ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f211,definition,
! [X2] :
( sQ17_spl
<=> ( inverse(X2) != sk_c11
| multiply(X2,sk_c11) != sk_c10 ) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f212,plain,
! [X0] :
( ~ sQ17_spl
| inverse(X0) != sk_c11
| multiply(X0,sk_c11) != sk_c10 ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f214,definition,
! [X3] :
( sQ18_spl
<=> ( inverse(X3) != sk_c10
| multiply(X3,sk_c10) != sk_c9 ) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f215,plain,
! [X0] :
( ~ sQ18_spl
| inverse(X0) != sk_c10
| multiply(X0,sk_c10) != sk_c9 ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f217,definition,
! [X4,X5,X6,X7] :
( sQ19_spl
<=> ( multiply(X6,X5) != X7
| inverse(X7) != X5
| inverse(X6) != X7
| multiply(X5,sk_c10) != sk_c11
| inverse(X4) != X5
| multiply(X4,X5) != sk_c11 ) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f218,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| multiply(X2,X1) != X3
| inverse(X3) != X1
| inverse(X2) != X3
| multiply(X1,sk_c10) != sk_c11
| inverse(X0) != X1
| multiply(X0,X1) != sk_c11 ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f220,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f109,f110,f205,f208,f211,f214,f217]) ).
fof(f221,plain,
! [X0,X1] :
( ~ sQ19_spl
| multiply(X1,inverse(X0)) != inverse(X1)
| inverse(inverse(X1)) != inverse(X0)
| multiply(inverse(X0),sk_c10) != sk_c11
| multiply(X0,inverse(X0)) != sk_c11 ),
inference(destructive_equality_resolution,[status(thm)],[f218]) ).
fof(f226,plain,
! [X0] :
( ~ sQ5_spl
| multiply(sk_c11,X0) = multiply(sk_c5,multiply(sk_c8,X0)) ),
inference(paramodulation,[status(thm)],[f130,f57]) ).
fof(f236,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ19_spl
| multiply(X0,sk_c8) != inverse(X0)
| inverse(inverse(X0)) != inverse(sk_c5)
| multiply(inverse(sk_c5),sk_c10) != sk_c11
| multiply(sk_c5,inverse(sk_c5)) != sk_c11 ),
inference(paramodulation,[status(thm)],[f134,f221]) ).
fof(f238,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ19_spl
| multiply(X0,sk_c8) != inverse(X0)
| inverse(inverse(X0)) != inverse(sk_c6)
| multiply(inverse(sk_c6),sk_c10) != sk_c11
| multiply(sk_c6,inverse(sk_c6)) != sk_c11 ),
inference(paramodulation,[status(thm)],[f146,f221]) ).
fof(f240,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ19_spl
| multiply(X0,sk_c10) != inverse(X0)
| inverse(inverse(X0)) != inverse(sk_c2)
| multiply(inverse(sk_c2),sk_c10) != sk_c11
| multiply(sk_c2,inverse(sk_c2)) != sk_c11 ),
inference(paramodulation,[status(thm)],[f193,f221]) ).
fof(f261,definition,
( sQ26_spl
<=> multiply(sk_c5,inverse(sk_c5)) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f263,plain,
( sQ26_spl
| multiply(sk_c5,inverse(sk_c5)) != sk_c11 ),
inference(component_clause,[status(thm)],[f261]) ).
fof(f264,definition,
( sQ27_spl
<=> multiply(inverse(sk_c5),sk_c10) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f266,plain,
( sQ27_spl
| multiply(inverse(sk_c5),sk_c10) != sk_c11 ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f267,definition,
! [X0] :
( sQ28_spl
<=> ( multiply(X0,sk_c8) != inverse(X0)
| inverse(inverse(X0)) != inverse(sk_c5) ) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f270,plain,
( ~ sQ6_spl
| ~ sQ19_spl
| sQ28_spl
| ~ sQ27_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f236,f261,f264,f267,f217,f133]) ).
fof(f281,definition,
( sQ32_spl
<=> multiply(sk_c6,inverse(sk_c6)) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f284,definition,
( sQ33_spl
<=> multiply(inverse(sk_c6),sk_c10) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f286,plain,
( sQ33_spl
| multiply(inverse(sk_c6),sk_c10) != sk_c11 ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f287,definition,
! [X0] :
( sQ34_spl
<=> ( multiply(X0,sk_c8) != inverse(X0)
| inverse(inverse(X0)) != inverse(sk_c6) ) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f290,plain,
( ~ sQ9_spl
| ~ sQ19_spl
| sQ34_spl
| ~ sQ33_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f238,f281,f284,f287,f217,f145]) ).
fof(f301,definition,
( sQ38_spl
<=> multiply(sk_c2,inverse(sk_c2)) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f303,plain,
( sQ38_spl
| multiply(sk_c2,inverse(sk_c2)) != sk_c11 ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f304,definition,
( sQ39_spl
<=> multiply(inverse(sk_c2),sk_c10) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f307,definition,
! [X0] :
( sQ40_spl
<=> ( multiply(X0,sk_c10) != inverse(X0)
| inverse(inverse(X0)) != inverse(sk_c2) ) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f310,plain,
( ~ sQ14_spl
| ~ sQ19_spl
| sQ40_spl
| ~ sQ39_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f240,f301,f304,f307,f217,f192]) ).
fof(f313,plain,
( sQ38_spl
| ~ sQ14_spl
| multiply(sk_c2,sk_c10) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f193,f303]) ).
fof(f314,plain,
( sQ38_spl
| ~ sQ14_spl
| ~ sQ13_spl
| sk_c11 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f180,f313]) ).
fof(f315,plain,
( sQ38_spl
| ~ sQ14_spl
| ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f314]) ).
fof(f316,plain,
( sQ38_spl
| ~ sQ14_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f315]) ).
fof(f319,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| inverse(sk_c4) != sk_c10
| sk_c9 != sk_c9 ),
inference(paramodulation,[status(thm)],[f122,f215]) ).
fof(f321,plain,
( ~ sQ12_spl
| ~ sQ18_spl
| inverse(sk_c1) != sk_c10
| sk_c11 != sk_c9 ),
inference(paramodulation,[status(thm)],[f167,f215]) ).
fof(f322,definition,
( sQ41_spl
<=> sk_c9 = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f324,plain,
( sQ41_spl
| sk_c9 != sk_c9 ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f325,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| ~ sQ4_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f319,f322,f125,f214,f121]) ).
fof(f326,definition,
( sQ42_spl
<=> sk_c11 = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f327,plain,
( ~ sQ42_spl
| sk_c11 = sk_c9 ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f328,plain,
( sQ42_spl
| sk_c11 != sk_c9 ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f333,definition,
( sQ44_spl
<=> inverse(sk_c1) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f335,plain,
( sQ44_spl
| inverse(sk_c1) != sk_c10 ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f336,plain,
( ~ sQ12_spl
| ~ sQ18_spl
| ~ sQ44_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f321,f326,f333,f214,f166]) ).
fof(f337,plain,
( sQ41_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f324]) ).
fof(f338,plain,
sQ41_spl,
inference(contradiction_clause,[status(thm)],[f337]) ).
fof(f340,plain,
( ~ sQ9_spl
| multiply(sk_c8,sk_c6) = identity ),
inference(paramodulation,[status(thm)],[f146,f56]) ).
fof(f341,plain,
( ~ sQ8_spl
| multiply(sk_c6,sk_c7) = identity ),
inference(paramodulation,[status(thm)],[f142,f56]) ).
fof(f345,plain,
( ~ sQ14_spl
| multiply(sk_c10,sk_c2) = identity ),
inference(paramodulation,[status(thm)],[f193,f56]) ).
fof(f346,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f56,f57]) ).
fof(f347,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f55,f346]) ).
fof(f354,plain,
( ~ sQ1_spl
| ~ sQ17_spl
| inverse(sk_c3) != sk_c11 ),
inference(resolution,[status(thm)],[f212,f114]) ).
fof(f356,plain,
( ~ sQ17_spl
| inverse(identity) != sk_c11
| sk_c11 != sk_c10 ),
inference(paramodulation,[status(thm)],[f55,f212]) ).
fof(f359,plain,
( ~ sQ1_spl
| ~ sQ17_spl
| ~ sQ2_spl
| sk_c11 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f118,f354]) ).
fof(f360,plain,
( ~ sQ1_spl
| ~ sQ17_spl
| ~ sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f359]) ).
fof(f361,plain,
( ~ sQ1_spl
| ~ sQ17_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f360]) ).
fof(f363,plain,
( ~ sQ16_spl
| inverse(inverse(sk_c10)) != sk_c10
| identity != sk_c11 ),
inference(paramodulation,[status(thm)],[f56,f209]) ).
fof(f364,plain,
( ~ sQ16_spl
| inverse(identity) != sk_c10
| sk_c10 != sk_c11 ),
inference(paramodulation,[status(thm)],[f55,f209]) ).
fof(f366,plain,
( ~ sQ3_spl
| ~ sQ16_spl
| inverse(sk_c4) != sk_c10
| sk_c9 != sk_c11 ),
inference(paramodulation,[status(thm)],[f122,f209]) ).
fof(f368,definition,
( sQ45_spl
<=> identity = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f370,plain,
( sQ45_spl
| identity != sk_c11 ),
inference(component_clause,[status(thm)],[f368]) ).
fof(f371,definition,
( sQ46_spl
<=> inverse(inverse(sk_c10)) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f373,plain,
( sQ46_spl
| inverse(inverse(sk_c10)) != sk_c10 ),
inference(component_clause,[status(thm)],[f371]) ).
fof(f374,plain,
( ~ sQ16_spl
| ~ sQ46_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f363,f368,f371,f208]) ).
fof(f375,definition,
( sQ47_spl
<=> sk_c10 = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f377,plain,
( sQ47_spl
| sk_c10 != sk_c11 ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f378,definition,
( sQ48_spl
<=> inverse(identity) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f380,plain,
( sQ48_spl
| inverse(identity) != sk_c10 ),
inference(component_clause,[status(thm)],[f378]) ).
fof(f381,plain,
( ~ sQ16_spl
| ~ sQ48_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f364,f375,f378,f208]) ).
fof(f382,plain,
( ~ sQ3_spl
| ~ sQ16_spl
| ~ sQ4_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f366,f326,f125,f208,f121]) ).
fof(f383,definition,
( sQ49_spl
<=> sk_c11 = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f385,plain,
( sQ49_spl
| sk_c11 != sk_c11 ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f387,plain,
( sQ49_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f385]) ).
fof(f388,plain,
sQ49_spl,
inference(contradiction_clause,[status(thm)],[f387]) ).
fof(f390,plain,
( ~ sQ15_spl
| identity != sk_c11
| inverse(inverse(sk_c10)) != sk_c11 ),
inference(paramodulation,[status(thm)],[f56,f206]) ).
fof(f391,plain,
( ~ sQ15_spl
| sk_c10 != sk_c11
| inverse(identity) != sk_c11 ),
inference(paramodulation,[status(thm)],[f55,f206]) ).
fof(f393,plain,
( ~ sQ3_spl
| ~ sQ15_spl
| sk_c9 != sk_c11
| inverse(sk_c4) != sk_c11 ),
inference(paramodulation,[status(thm)],[f122,f206]) ).
fof(f394,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| sk_c11 != sk_c11
| inverse(sk_c8) != sk_c11 ),
inference(paramodulation,[status(thm)],[f138,f206]) ).
fof(f395,definition,
( sQ50_spl
<=> inverse(inverse(sk_c10)) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f397,plain,
( sQ50_spl
| inverse(inverse(sk_c10)) != sk_c11 ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,plain,
( ~ sQ15_spl
| ~ sQ45_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f390,f395,f368,f205]) ).
fof(f399,definition,
( sQ51_spl
<=> inverse(identity) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f401,plain,
( sQ51_spl
| inverse(identity) != sk_c11 ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f402,plain,
( ~ sQ15_spl
| ~ sQ47_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f391,f399,f375,f205]) ).
fof(f403,definition,
( sQ52_spl
<=> inverse(sk_c4) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f405,plain,
( sQ52_spl
| inverse(sk_c4) != sk_c11 ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f406,plain,
( ~ sQ3_spl
| ~ sQ15_spl
| ~ sQ42_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f393,f403,f326,f205,f121]) ).
fof(f407,definition,
( sQ53_spl
<=> inverse(sk_c8) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f409,plain,
( sQ53_spl
| inverse(sk_c8) != sk_c11 ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f410,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ49_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f394,f407,f383,f205,f137]) ).
fof(f411,plain,
( sQ52_spl
| ~ sQ4_spl
| sk_c10 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f126,f405]) ).
fof(f418,plain,
( sQ33_spl
| ~ sQ9_spl
| multiply(sk_c8,sk_c10) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f146,f286]) ).
fof(f419,plain,
( sQ33_spl
| ~ sQ9_spl
| ~ sQ7_spl
| sk_c11 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f138,f418]) ).
fof(f420,plain,
( sQ33_spl
| ~ sQ9_spl
| ~ sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f419]) ).
fof(f421,plain,
( sQ33_spl
| ~ sQ9_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f420]) ).
fof(f435,plain,
( sQ27_spl
| ~ sQ6_spl
| multiply(sk_c8,sk_c10) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f134,f266]) ).
fof(f436,plain,
( sQ27_spl
| ~ sQ6_spl
| ~ sQ7_spl
| sk_c11 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f138,f435]) ).
fof(f437,plain,
( sQ27_spl
| ~ sQ6_spl
| ~ sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f436]) ).
fof(f438,plain,
( sQ27_spl
| ~ sQ6_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f437]) ).
fof(f440,plain,
( sQ26_spl
| ~ sQ6_spl
| multiply(sk_c5,sk_c8) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f134,f263]) ).
fof(f441,plain,
( sQ26_spl
| ~ sQ6_spl
| ~ sQ5_spl
| sk_c11 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f130,f440]) ).
fof(f442,plain,
( sQ26_spl
| ~ sQ6_spl
| ~ sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f441]) ).
fof(f443,plain,
( sQ26_spl
| ~ sQ6_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f442]) ).
fof(f454,plain,
( ~ sQ8_spl
| sk_c7 = multiply(inverse(sk_c6),identity) ),
inference(paramodulation,[status(thm)],[f341,f347]) ).
fof(f460,plain,
( ~ sQ1_spl
| sk_c11 = multiply(inverse(sk_c3),sk_c10) ),
inference(paramodulation,[status(thm)],[f114,f347]) ).
fof(f462,plain,
( ~ sQ3_spl
| sk_c10 = multiply(inverse(sk_c4),sk_c9) ),
inference(paramodulation,[status(thm)],[f122,f347]) ).
fof(f463,plain,
( ~ sQ5_spl
| sk_c8 = multiply(inverse(sk_c5),sk_c11) ),
inference(paramodulation,[status(thm)],[f130,f347]) ).
fof(f467,plain,
( ~ sQ10_spl
| sk_c8 = multiply(inverse(sk_c7),sk_c6) ),
inference(paramodulation,[status(thm)],[f150,f347]) ).
fof(f469,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| sk_c7 = multiply(sk_c8,identity) ),
inference(forward_demodulation,[status(thm)],[f146,f454]) ).
fof(f471,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| sk_c11 = multiply(sk_c11,sk_c10) ),
inference(forward_demodulation,[status(thm)],[f118,f460]) ).
fof(f473,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| sk_c10 = multiply(sk_c10,sk_c9) ),
inference(forward_demodulation,[status(thm)],[f126,f462]) ).
fof(f474,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| sk_c8 = multiply(sk_c8,sk_c11) ),
inference(forward_demodulation,[status(thm)],[f134,f463]) ).
fof(f475,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| sk_c8 = multiply(sk_c6,sk_c6) ),
inference(forward_demodulation,[status(thm)],[f142,f467]) ).
fof(f487,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| sk_c10 = multiply(inverse(sk_c11),sk_c11) ),
inference(paramodulation,[status(thm)],[f471,f347]) ).
fof(f490,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| sk_c10 = identity ),
inference(forward_demodulation,[status(thm)],[f56,f487]) ).
fof(f492,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c7 = multiply(sk_c8,sk_c10) ),
inference(backward_demodulation,[status(thm)],[f490,f469]) ).
fof(f493,plain,
( ~ sQ14_spl
| ~ sQ1_spl
| ~ sQ2_spl
| multiply(sk_c10,sk_c2) = sk_c10 ),
inference(backward_demodulation,[status(thm)],[f490,f345]) ).
fof(f498,plain,
( ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| multiply(sk_c8,sk_c6) = sk_c10 ),
inference(backward_demodulation,[status(thm)],[f490,f340]) ).
fof(f499,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| multiply(inverse(X0),X0) = sk_c10 ),
inference(backward_demodulation,[status(thm)],[f490,f56]) ).
fof(f500,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| multiply(sk_c10,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f490,f55]) ).
fof(f501,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| sk_c7 = sk_c11 ),
inference(forward_demodulation,[status(thm)],[f138,f492]) ).
fof(f502,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| sk_c11 = multiply(sk_c7,sk_c10) ),
inference(backward_demodulation,[status(thm)],[f501,f471]) ).
fof(f504,plain,
( sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| multiply(sk_c10,sk_c7) != sk_c9 ),
inference(backward_demodulation,[status(thm)],[f501,f112]) ).
fof(f505,plain,
( sQ13_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| multiply(sk_c2,sk_c10) != sk_c7 ),
inference(backward_demodulation,[status(thm)],[f501,f181]) ).
fof(f508,plain,
( ~ sQ5_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| multiply(sk_c5,sk_c8) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f501,f130]) ).
fof(f509,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| multiply(sk_c8,sk_c10) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f501,f138]) ).
fof(f510,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| sk_c7 = multiply(sk_c7,sk_c10) ),
inference(forward_demodulation,[status(thm)],[f501,f502]) ).
fof(f515,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c9,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f520,f500]) ).
fof(f516,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c9 = identity ),
inference(backward_demodulation,[status(thm)],[f520,f490]) ).
fof(f517,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| inverse(sk_c4) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f520,f126]) ).
fof(f520,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c10 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f500,f473]) ).
fof(f523,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(inverse(X0),X0) = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f520,f499]) ).
fof(f531,plain,
( sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c9,sk_c7) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f520,f504]) ).
fof(f532,plain,
( sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c7 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f515,f531]) ).
fof(f533,plain,
( sQ13_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c2,sk_c9) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f520,f505]) ).
fof(f534,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| multiply(sk_c9,sk_c4) = sk_c9 ),
inference(paramodulation,[status(thm)],[f517,f523]) ).
fof(f535,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| X0 = multiply(sk_c9,multiply(sk_c4,X0)) ),
inference(paramodulation,[status(thm)],[f517,f347]) ).
fof(f536,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c4 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f515,f534]) ).
fof(f537,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| X0 = multiply(sk_c4,X0) ),
inference(forward_demodulation,[status(thm)],[f515,f535]) ).
fof(f538,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| inverse(sk_c4) = sk_c4 ),
inference(backward_demodulation,[status(thm)],[f536,f517]) ).
fof(f539,plain,
( sQ13_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c2,sk_c4) != sk_c7 ),
inference(backward_demodulation,[status(thm)],[f536,f533]) ).
fof(f540,plain,
( sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c7 != sk_c4 ),
inference(backward_demodulation,[status(thm)],[f536,f532]) ).
fof(f541,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(inverse(X0),X0) = sk_c4 ),
inference(backward_demodulation,[status(thm)],[f536,f523]) ).
fof(f543,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c4 = identity ),
inference(backward_demodulation,[status(thm)],[f536,f516]) ).
fof(f544,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c10 = sk_c4 ),
inference(backward_demodulation,[status(thm)],[f536,f520]) ).
fof(f555,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| sk_c8 = multiply(sk_c8,sk_c7) ),
inference(forward_demodulation,[status(thm)],[f501,f474]) ).
fof(f558,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| sk_c6 = multiply(inverse(sk_c6),sk_c8) ),
inference(paramodulation,[status(thm)],[f475,f347]) ).
fof(f560,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| sk_c6 = multiply(sk_c8,sk_c8) ),
inference(forward_demodulation,[status(thm)],[f146,f558]) ).
fof(f564,plain,
( ~ sQ14_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c4,sk_c2) = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f544,f493]) ).
fof(f565,plain,
( ~ sQ14_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c2 = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f537,f564]) ).
fof(f566,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ14_spl
| inverse(sk_c4) = sk_c2 ),
inference(backward_demodulation,[status(thm)],[f574,f538]) ).
fof(f567,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ14_spl
| X0 = multiply(sk_c2,X0) ),
inference(backward_demodulation,[status(thm)],[f574,f537]) ).
fof(f570,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ14_spl
| sk_c10 = sk_c2 ),
inference(backward_demodulation,[status(thm)],[f574,f544]) ).
fof(f571,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| sk_c2 = identity ),
inference(backward_demodulation,[status(thm)],[f574,f543]) ).
fof(f572,plain,
( sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| sk_c7 != sk_c2 ),
inference(backward_demodulation,[status(thm)],[f574,f540]) ).
fof(f574,plain,
( ~ sQ14_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c2 = sk_c4 ),
inference(forward_demodulation,[status(thm)],[f544,f565]) ).
fof(f575,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ14_spl
| inverse(sk_c2) = sk_c2 ),
inference(forward_demodulation,[status(thm)],[f574,f566]) ).
fof(f579,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| multiply(sk_c8,sk_c2) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f570,f509]) ).
fof(f608,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| sk_c7 = multiply(sk_c7,sk_c2) ),
inference(forward_demodulation,[status(thm)],[f570,f510]) ).
fof(f617,plain,
( sQ13_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| sk_c4 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f567,f539]) ).
fof(f618,plain,
( sQ13_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| sk_c2 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f574,f617]) ).
fof(f619,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| multiply(inverse(X0),X0) = sk_c2 ),
inference(forward_demodulation,[status(thm)],[f574,f541]) ).
fof(f637,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| multiply(sk_c7,X0) = multiply(sk_c5,multiply(sk_c8,X0)) ),
inference(forward_demodulation,[status(thm)],[f501,f226]) ).
fof(f640,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| ~ sQ5_spl
| multiply(sk_c7,sk_c2) = multiply(sk_c5,sk_c7) ),
inference(paramodulation,[status(thm)],[f579,f637]) ).
fof(f641,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| multiply(sk_c7,sk_c7) = multiply(sk_c5,sk_c8) ),
inference(paramodulation,[status(thm)],[f555,f637]) ).
fof(f644,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| ~ sQ5_spl
| sk_c7 = multiply(sk_c5,sk_c7) ),
inference(forward_demodulation,[status(thm)],[f608,f640]) ).
fof(f645,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| multiply(sk_c7,sk_c7) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f508,f641]) ).
fof(f651,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| multiply(sk_c7,sk_c8) = multiply(sk_c5,sk_c6) ),
inference(paramodulation,[status(thm)],[f560,f637]) ).
fof(f654,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| sk_c6 = multiply(sk_c5,sk_c6) ),
inference(forward_demodulation,[status(thm)],[f150,f651]) ).
fof(f659,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| ~ sQ5_spl
| sk_c7 = multiply(inverse(sk_c5),sk_c7) ),
inference(paramodulation,[status(thm)],[f644,f347]) ).
fof(f661,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c7 = multiply(sk_c8,sk_c7) ),
inference(forward_demodulation,[status(thm)],[f134,f659]) ).
fof(f662,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c7 = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f555,f661]) ).
fof(f673,plain,
( ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| ~ sQ5_spl
| ~ sQ6_spl
| multiply(sk_c7,sk_c7) = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f662,f150]) ).
fof(f680,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| sk_c7 = multiply(inverse(sk_c7),sk_c7) ),
inference(paramodulation,[status(thm)],[f645,f347]) ).
fof(f682,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| sk_c7 = sk_c2 ),
inference(forward_demodulation,[status(thm)],[f619,f680]) ).
fof(f683,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f682,f572]) ).
fof(f684,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f683]) ).
fof(f691,plain,
( sQ53_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| ~ sQ5_spl
| ~ sQ6_spl
| inverse(sk_c7) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f662,f409]) ).
fof(f692,plain,
( sQ53_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c6 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f142,f691]) ).
fof(f693,plain,
( sQ53_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c6 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f501,f692]) ).
fof(f703,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| multiply(X0,sk_c10) != sk_c11
| inverse(X0) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f501,f206]) ).
fof(f725,plain,
( ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c7 = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f645,f673]) ).
fof(f731,plain,
( sQ13_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| ~ sQ10_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c2 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f725,f618]) ).
fof(f733,plain,
( sQ53_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ10_spl
| sk_c6 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f725,f693]) ).
fof(f734,plain,
( sQ53_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f733]) ).
fof(f735,plain,
( sQ53_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f734]) ).
fof(f743,plain,
( sQ48_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| inverse(sk_c2) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f571,f380]) ).
fof(f744,plain,
( sQ48_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| sk_c2 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f575,f743]) ).
fof(f745,plain,
( sQ48_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| sk_c2 != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f570,f744]) ).
fof(f746,plain,
( sQ48_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f745]) ).
fof(f747,plain,
( sQ48_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f746]) ).
fof(f748,plain,
( sQ46_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ14_spl
| inverse(inverse(sk_c2)) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f570,f373]) ).
fof(f749,plain,
( sQ46_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ14_spl
| inverse(sk_c2) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f575,f748]) ).
fof(f750,plain,
( sQ46_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ14_spl
| sk_c2 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f575,f749]) ).
fof(f751,plain,
( sQ46_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ14_spl
| sk_c2 != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f570,f750]) ).
fof(f752,plain,
( sQ46_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f751]) ).
fof(f753,plain,
( sQ46_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f752]) ).
fof(f783,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| ~ sQ10_spl
| sk_c6 = sk_c2 ),
inference(forward_demodulation,[status(thm)],[f725,f682]) ).
fof(f784,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| ~ sQ10_spl
| sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f783,f731]) ).
fof(f785,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| ~ sQ10_spl
| sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f784]) ).
fof(f787,plain,
( sQ44_spl
| ~ sQ11_spl
| sk_c11 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f154,f335]) ).
fof(f791,plain,
( ~ sQ13_spl
| sk_c10 = multiply(inverse(sk_c2),sk_c11) ),
inference(paramodulation,[status(thm)],[f180,f347]) ).
fof(f793,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| sk_c10 = multiply(sk_c10,sk_c11) ),
inference(forward_demodulation,[status(thm)],[f193,f791]) ).
fof(f794,plain,
( ~ sQ12_spl
| sk_c10 = multiply(inverse(sk_c1),sk_c11) ),
inference(paramodulation,[status(thm)],[f167,f347]) ).
fof(f796,plain,
( ~ sQ12_spl
| ~ sQ11_spl
| sk_c10 = multiply(sk_c11,sk_c11) ),
inference(forward_demodulation,[status(thm)],[f154,f794]) ).
fof(f816,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ14_spl
| multiply(sk_c9,sk_c11) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f823,f111]) ).
fof(f820,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| inverse(sk_c2) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f823,f193]) ).
fof(f822,plain,
( sQ47_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ0_spl
| sk_c9 != sk_c11 ),
inference(backward_demodulation,[status(thm)],[f823,f377]) ).
fof(f823,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ0_spl
| sk_c10 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f111,f793]) ).
fof(f826,plain,
( ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ0_spl
| sk_c9 = multiply(sk_c11,sk_c11) ),
inference(forward_demodulation,[status(thm)],[f823,f796]) ).
fof(f836,definition,
( sQ54_spl
<=> inverse(identity) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f838,plain,
( sQ54_spl
| inverse(identity) != sk_c9 ),
inference(component_clause,[status(thm)],[f836]) ).
fof(f840,definition,
( sQ55_spl
<=> inverse(inverse(identity)) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f842,plain,
( sQ55_spl
| inverse(inverse(identity)) != sk_c9 ),
inference(component_clause,[status(thm)],[f840]) ).
fof(f858,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ14_spl
| sk_c11 = multiply(inverse(sk_c9),sk_c9) ),
inference(paramodulation,[status(thm)],[f816,f347]) ).
fof(f860,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ14_spl
| sk_c11 = identity ),
inference(forward_demodulation,[status(thm)],[f56,f858]) ).
fof(f861,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ14_spl
| sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f860,f370]) ).
fof(f862,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ14_spl
| sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f861]) ).
fof(f873,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ14_spl
| multiply(sk_c11,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f860,f55]) ).
fof(f875,plain,
( ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ0_spl
| sk_c9 = sk_c11 ),
inference(backward_demodulation,[status(thm)],[f873,f826]) ).
fof(f878,plain,
( ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ0_spl
| sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f875,f328]) ).
fof(f879,plain,
( ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ0_spl
| sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f878]) ).
fof(f883,plain,
( sQ42_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| sk_c7 != sk_c9 ),
inference(backward_demodulation,[status(thm)],[f501,f328]) ).
fof(f894,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(X0,sk_c4) != sk_c11
| inverse(X0) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f544,f703]) ).
fof(f895,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(X0,sk_c4) != sk_c7
| inverse(X0) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f501,f894]) ).
fof(f903,definition,
( sQ56_spl
<=> inverse(sk_c4) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f904,plain,
( ~ sQ56_spl
| inverse(sk_c4) = sk_c7 ),
inference(component_clause,[status(thm)],[f903]) ).
fof(f905,plain,
( sQ56_spl
| inverse(sk_c4) != sk_c7 ),
inference(component_clause,[status(thm)],[f903]) ).
fof(f906,definition,
( sQ57_spl
<=> sk_c4 = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f908,plain,
( sQ57_spl
| sk_c4 != sk_c7 ),
inference(component_clause,[status(thm)],[f906]) ).
fof(f914,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c8,sk_c4) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f544,f509]) ).
fof(f916,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ15_spl
| sk_c7 != sk_c7
| inverse(sk_c8) != sk_c7 ),
inference(paramodulation,[status(thm)],[f914,f895]) ).
fof(f919,definition,
( sQ58_spl
<=> inverse(sk_c8) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f921,plain,
( sQ58_spl
| inverse(sk_c8) != sk_c7 ),
inference(component_clause,[status(thm)],[f919]) ).
fof(f922,definition,
( sQ59_spl
<=> sk_c7 = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f924,plain,
( sQ59_spl
| sk_c7 != sk_c7 ),
inference(component_clause,[status(thm)],[f922]) ).
fof(f925,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ15_spl
| ~ sQ59_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f916,f919,f922,f205,f125,f121,f117,f113,f145,f141,f137]) ).
fof(f965,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(inverse(X0),X0) = sk_c4 ),
inference(forward_demodulation,[status(thm)],[f544,f499]) ).
fof(f990,plain,
( sQ59_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f924]) ).
fof(f991,plain,
sQ59_spl,
inference(contradiction_clause,[status(thm)],[f990]) ).
fof(f1002,plain,
( sQ55_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| inverse(inverse(sk_c4)) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f543,f842]) ).
fof(f1003,plain,
( sQ55_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| inverse(sk_c4) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f538,f1002]) ).
fof(f1004,plain,
( sQ55_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c4 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f538,f1003]) ).
fof(f1005,plain,
( sQ55_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c4 != sk_c4 ),
inference(forward_demodulation,[status(thm)],[f536,f1004]) ).
fof(f1006,plain,
( sQ55_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1005]) ).
fof(f1007,plain,
( sQ55_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f1006]) ).
fof(f1008,plain,
( sQ54_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| inverse(sk_c4) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f543,f838]) ).
fof(f1009,plain,
( sQ54_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c4 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f538,f1008]) ).
fof(f1010,plain,
( sQ54_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c4 != sk_c4 ),
inference(forward_demodulation,[status(thm)],[f536,f1009]) ).
fof(f1011,plain,
( sQ54_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1010]) ).
fof(f1012,plain,
( sQ54_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f1011]) ).
fof(f1013,plain,
( sQ47_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ0_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f822,f326,f110,f192,f179,f375]) ).
fof(f1014,plain,
( sQ44_spl
| ~ sQ11_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f787,f375,f153,f333]) ).
fof(f1015,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ42_spl
| sk_c9 = identity ),
inference(forward_demodulation,[status(thm)],[f327,f860]) ).
fof(f1023,plain,
( sQ51_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ42_spl
| inverse(sk_c9) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f1015,f401]) ).
fof(f1024,plain,
( sQ51_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ42_spl
| inverse(sk_c9) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f327,f1023]) ).
fof(f1036,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ42_spl
| multiply(sk_c9,X0) = X0 ),
inference(forward_demodulation,[status(thm)],[f1015,f55]) ).
fof(f1043,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| X0 = multiply(sk_c9,multiply(sk_c2,X0)) ),
inference(paramodulation,[status(thm)],[f820,f347]) ).
fof(f1044,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ42_spl
| X0 = multiply(sk_c2,X0) ),
inference(forward_demodulation,[status(thm)],[f1036,f1043]) ).
fof(f1056,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ42_spl
| multiply(inverse(X0),X0) = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1015,f56]) ).
fof(f1057,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ42_spl
| multiply(sk_c9,sk_c2) = sk_c9 ),
inference(paramodulation,[status(thm)],[f820,f1056]) ).
fof(f1061,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ42_spl
| sk_c2 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1036,f1057]) ).
fof(f1066,plain,
! [X0,X1] :
( ~ sQ19_spl
| ~ sQ42_spl
| multiply(X1,inverse(X0)) != inverse(X1)
| inverse(inverse(X1)) != inverse(X0)
| multiply(inverse(X0),sk_c10) != sk_c11
| multiply(X0,inverse(X0)) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f327,f221]) ).
fof(f1067,plain,
! [X0,X1] :
( ~ sQ19_spl
| ~ sQ42_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ0_spl
| multiply(X1,inverse(X0)) != inverse(X1)
| inverse(inverse(X1)) != inverse(X0)
| multiply(inverse(X0),sk_c9) != sk_c11
| multiply(X0,inverse(X0)) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f823,f1066]) ).
fof(f1068,plain,
! [X0,X1] :
( ~ sQ19_spl
| ~ sQ42_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ0_spl
| multiply(X1,inverse(X0)) != inverse(X1)
| inverse(inverse(X1)) != inverse(X0)
| multiply(inverse(X0),sk_c9) != sk_c9
| multiply(X0,inverse(X0)) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f327,f1067]) ).
fof(f1070,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ42_spl
| ~ sQ19_spl
| inverse(inverse(sk_c2)) != inverse(sk_c2)
| multiply(inverse(sk_c2),sk_c9) != sk_c9
| multiply(sk_c2,inverse(sk_c2)) != sk_c9 ),
inference(resolution,[status(thm)],[f1068,f1044]) ).
fof(f1089,definition,
( sQ65_spl
<=> multiply(sk_c2,inverse(sk_c2)) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f1091,plain,
( sQ65_spl
| multiply(sk_c2,inverse(sk_c2)) != sk_c9 ),
inference(component_clause,[status(thm)],[f1089]) ).
fof(f1092,definition,
( sQ66_spl
<=> multiply(inverse(sk_c2),sk_c9) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f1094,plain,
( sQ66_spl
| multiply(inverse(sk_c2),sk_c9) != sk_c9 ),
inference(component_clause,[status(thm)],[f1092]) ).
fof(f1095,definition,
( sQ67_spl
<=> inverse(inverse(sk_c2)) = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f1097,plain,
( sQ67_spl
| inverse(inverse(sk_c2)) != inverse(sk_c2) ),
inference(component_clause,[status(thm)],[f1095]) ).
fof(f1098,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ42_spl
| ~ sQ19_spl
| ~ sQ67_spl
| ~ sQ66_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f1070,f1089,f1092,f1095,f217,f326,f110,f179,f192]) ).
fof(f1129,plain,
( sQ66_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| multiply(sk_c9,sk_c9) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f820,f1094]) ).
fof(f1130,plain,
( sQ66_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ42_spl
| sk_c9 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1036,f1129]) ).
fof(f1131,plain,
( sQ66_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ42_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1130]) ).
fof(f1132,plain,
( sQ66_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1131]) ).
fof(f1133,plain,
( sQ65_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ42_spl
| inverse(sk_c2) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1044,f1091]) ).
fof(f1134,plain,
( sQ65_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ42_spl
| sk_c9 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f820,f1133]) ).
fof(f1135,plain,
( sQ65_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ42_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1134]) ).
fof(f1136,plain,
( sQ65_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1135]) ).
fof(f1141,plain,
( sQ67_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| inverse(sk_c9) != inverse(sk_c2) ),
inference(forward_demodulation,[status(thm)],[f820,f1097]) ).
fof(f1142,plain,
( sQ67_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| inverse(sk_c9) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f820,f1141]) ).
fof(f1159,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ42_spl
| inverse(sk_c2) = sk_c2 ),
inference(backward_demodulation,[status(thm)],[f1061,f820]) ).
fof(f1164,plain,
( sQ51_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ42_spl
| inverse(sk_c9) != sk_c2 ),
inference(backward_demodulation,[status(thm)],[f1061,f1024]) ).
fof(f1168,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ0_spl
| ~ sQ42_spl
| sk_c10 = sk_c2 ),
inference(backward_demodulation,[status(thm)],[f1061,f823]) ).
fof(f1171,plain,
( sQ51_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ42_spl
| inverse(sk_c2) != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f1061,f1164]) ).
fof(f1180,plain,
( sQ51_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ42_spl
| sk_c2 != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f1159,f1171]) ).
fof(f1181,plain,
( sQ51_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ42_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1180]) ).
fof(f1182,plain,
( sQ51_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1181]) ).
fof(f1200,plain,
( sQ67_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ42_spl
| inverse(sk_c2) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1061,f1142]) ).
fof(f1201,plain,
( sQ67_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ42_spl
| sk_c2 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1159,f1200]) ).
fof(f1202,plain,
( sQ67_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ42_spl
| sk_c2 != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f1061,f1201]) ).
fof(f1203,plain,
( sQ67_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ42_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1202]) ).
fof(f1204,plain,
( sQ67_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1203]) ).
fof(f1212,plain,
( sQ46_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ0_spl
| ~ sQ42_spl
| inverse(inverse(sk_c2)) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f1168,f373]) ).
fof(f1213,plain,
( sQ46_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ0_spl
| ~ sQ42_spl
| inverse(sk_c2) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f1159,f1212]) ).
fof(f1214,plain,
( sQ46_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ0_spl
| ~ sQ42_spl
| sk_c2 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f1159,f1213]) ).
fof(f1215,plain,
( sQ46_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ0_spl
| ~ sQ42_spl
| sk_c2 != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f1168,f1214]) ).
fof(f1216,plain,
( sQ46_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ0_spl
| ~ sQ42_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1215]) ).
fof(f1217,plain,
( sQ46_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ0_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1216]) ).
fof(f1232,definition,
( sQ73_spl
<=> identity = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f1234,plain,
( sQ73_spl
| identity != sk_c10 ),
inference(component_clause,[status(thm)],[f1232]) ).
fof(f1239,plain,
( ~ sQ17_spl
| ~ sQ51_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f356,f375,f399,f211]) ).
fof(f1243,definition,
( sQ75_spl
<=> sk_c10 = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f1245,plain,
( sQ75_spl
| sk_c10 != sk_c10 ),
inference(component_clause,[status(thm)],[f1243]) ).
fof(f1248,plain,
( sQ75_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1245]) ).
fof(f1249,plain,
sQ75_spl,
inference(contradiction_clause,[status(thm)],[f1248]) ).
fof(f1251,plain,
( ~ sQ5_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| multiply(sk_c5,sk_c8) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f501,f130]) ).
fof(f1258,plain,
( sQ73_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| identity != sk_c4 ),
inference(backward_demodulation,[status(thm)],[f544,f1234]) ).
fof(f1259,plain,
( sQ42_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sk_c7 != sk_c4 ),
inference(backward_demodulation,[status(thm)],[f536,f883]) ).
fof(f1262,plain,
( sQ52_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c4 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f544,f411]) ).
fof(f1263,plain,
( sQ52_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| sk_c4 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f501,f1262]) ).
fof(f1264,plain,
( sQ47_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c4 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f544,f377]) ).
fof(f1265,plain,
( sQ47_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| sk_c4 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f501,f1264]) ).
fof(f1266,plain,
( sQ73_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c4 != sk_c4 ),
inference(forward_demodulation,[status(thm)],[f543,f1258]) ).
fof(f1267,plain,
( sQ73_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1266]) ).
fof(f1268,plain,
( sQ73_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f1267]) ).
fof(f1270,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c4,X0) = X0 ),
inference(forward_demodulation,[status(thm)],[f543,f55]) ).
fof(f1293,plain,
( sQ56_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c4 != sk_c7 ),
inference(backward_demodulation,[status(thm)],[f538,f905]) ).
fof(f1299,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| multiply(sk_c4,sk_c11) = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f544,f111]) ).
fof(f1300,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c11 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1270,f1299]) ).
fof(f1301,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| sk_c7 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f501,f1300]) ).
fof(f1302,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| sk_c7 = sk_c4 ),
inference(forward_demodulation,[status(thm)],[f536,f1301]) ).
fof(f1303,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1302,f908]) ).
fof(f1304,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f1303]) ).
fof(f1305,plain,
( sQ56_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1293,f906,f117,f113,f121,f125,f903]) ).
fof(f1306,plain,
( sQ47_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1265,f906,f137,f145,f141,f117,f113,f125,f121,f375]) ).
fof(f1307,plain,
( sQ52_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1263,f906,f137,f145,f141,f117,f113,f121,f125,f403]) ).
fof(f1309,plain,
( sQ42_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1259,f906,f121,f125,f137,f117,f113,f145,f141,f326]) ).
fof(f1344,plain,
( sQ50_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| inverse(inverse(sk_c4)) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f544,f397]) ).
fof(f1345,plain,
( sQ50_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| inverse(sk_c4) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f538,f1344]) ).
fof(f1346,plain,
( sQ50_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c4 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f538,f1345]) ).
fof(f1347,plain,
( sQ50_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| sk_c4 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f501,f1346]) ).
fof(f1361,plain,
( ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c8,sk_c6) = sk_c4 ),
inference(forward_demodulation,[status(thm)],[f544,f498]) ).
fof(f1390,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| sk_c6 = multiply(inverse(sk_c5),sk_c6) ),
inference(paramodulation,[status(thm)],[f654,f347]) ).
fof(f1392,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ6_spl
| sk_c6 = multiply(sk_c8,sk_c6) ),
inference(forward_demodulation,[status(thm)],[f134,f1390]) ).
fof(f1393,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c6 = sk_c4 ),
inference(forward_demodulation,[status(thm)],[f1361,f1392]) ).
fof(f1401,plain,
( sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c7 != sk_c6 ),
inference(backward_demodulation,[status(thm)],[f1393,f540]) ).
fof(f1402,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| inverse(sk_c4) = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f1393,f538]) ).
fof(f1408,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| multiply(sk_c6,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f1393,f1270]) ).
fof(f1409,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| sk_c6 = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f1393,f536]) ).
fof(f1411,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| sk_c10 = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f1393,f544]) ).
fof(f1412,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| inverse(sk_c6) = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f1393,f1402]) ).
fof(f1413,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| sk_c8 = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f146,f1412]) ).
fof(f1417,plain,
( ~ sQ5_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ10_spl
| ~ sQ6_spl
| multiply(sk_c5,sk_c6) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f1413,f1251]) ).
fof(f1418,plain,
( sQ58_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| inverse(sk_c6) != sk_c7 ),
inference(backward_demodulation,[status(thm)],[f1413,f921]) ).
fof(f1420,plain,
( ~ sQ5_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ10_spl
| ~ sQ6_spl
| sk_c6 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f654,f1417]) ).
fof(f1430,plain,
( ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ10_spl
| ~ sQ6_spl
| inverse(sk_c6) = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f1420,f142]) ).
fof(f1432,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ10_spl
| ~ sQ6_spl
| sk_c6 = sk_c11 ),
inference(backward_demodulation,[status(thm)],[f1420,f501]) ).
fof(f1436,plain,
( sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c6 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f1420,f1401]) ).
fof(f1437,plain,
( sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ5_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1436]) ).
fof(f1438,plain,
( sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ5_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f1437]) ).
fof(f1440,plain,
! [X0,X1] :
( ~ sQ19_spl
| ~ sQ42_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| multiply(X1,inverse(X0)) != inverse(X1)
| inverse(inverse(X1)) != inverse(X0)
| multiply(inverse(X0),sk_c10) != sk_c11
| multiply(X0,inverse(X0)) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f1409,f1066]) ).
fof(f1441,plain,
! [X0,X1] :
( ~ sQ19_spl
| ~ sQ42_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| multiply(X1,inverse(X0)) != inverse(X1)
| inverse(inverse(X1)) != inverse(X0)
| multiply(inverse(X0),sk_c6) != sk_c11
| multiply(X0,inverse(X0)) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f1411,f1440]) ).
fof(f1451,plain,
( sQ50_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1347,f906,f137,f145,f141,f117,f113,f125,f121,f395]) ).
fof(f1461,plain,
( ~ sQ56_spl
| ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| inverse(sk_c6) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f1393,f904]) ).
fof(f1462,plain,
( ~ sQ56_spl
| ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| inverse(sk_c6) = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f1420,f1461]) ).
fof(f1485,plain,
( sQ58_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| inverse(sk_c6) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f1420,f1418]) ).
fof(f1486,plain,
( ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ10_spl
| ~ sQ6_spl
| sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1430,f1485]) ).
fof(f1487,plain,
( ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ10_spl
| ~ sQ6_spl
| sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f1486]) ).
fof(f1507,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| multiply(inverse(X0),X0) = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f1393,f965]) ).
fof(f1656,plain,
! [X0,X1] :
( ~ sQ19_spl
| ~ sQ42_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| multiply(X1,inverse(X0)) != inverse(X1)
| inverse(inverse(X1)) != inverse(X0)
| multiply(inverse(X0),sk_c6) != sk_c6
| multiply(X0,inverse(X0)) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f1432,f1441]) ).
fof(f1657,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ19_spl
| ~ sQ42_spl
| inverse(inverse(sk_c6)) != inverse(sk_c6)
| multiply(inverse(sk_c6),sk_c6) != sk_c6
| multiply(sk_c6,inverse(sk_c6)) != sk_c6 ),
inference(resolution,[status(thm)],[f1656,f1408]) ).
fof(f1662,definition,
( sQ76_spl
<=> multiply(sk_c6,inverse(sk_c6)) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f1664,plain,
( sQ76_spl
| multiply(sk_c6,inverse(sk_c6)) != sk_c6 ),
inference(component_clause,[status(thm)],[f1662]) ).
fof(f1665,definition,
( sQ77_spl
<=> multiply(inverse(sk_c6),sk_c6) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f1667,plain,
( sQ77_spl
| multiply(inverse(sk_c6),sk_c6) != sk_c6 ),
inference(component_clause,[status(thm)],[f1665]) ).
fof(f1668,definition,
( sQ78_spl
<=> inverse(inverse(sk_c6)) = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f1670,plain,
( sQ78_spl
| inverse(inverse(sk_c6)) != inverse(sk_c6) ),
inference(component_clause,[status(thm)],[f1668]) ).
fof(f1671,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ19_spl
| ~ sQ42_spl
| ~ sQ78_spl
| ~ sQ77_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f1657,f1662,f1665,f1668,f326,f217,f133,f137,f129,f145,f141,f149,f125,f121,f117,f113]) ).
fof(f1680,plain,
( sQ77_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| sk_c6 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f1507,f1667]) ).
fof(f1681,plain,
( sQ77_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1680]) ).
fof(f1682,plain,
( sQ77_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f1681]) ).
fof(f1683,plain,
( sQ76_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| inverse(sk_c6) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f1408,f1664]) ).
fof(f1684,plain,
( sQ76_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ56_spl
| sk_c6 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f1462,f1683]) ).
fof(f1685,plain,
( sQ76_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ56_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1684]) ).
fof(f1686,plain,
( sQ76_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1685]) ).
fof(f1688,plain,
( sQ78_spl
| ~ sQ56_spl
| ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| inverse(sk_c6) != inverse(sk_c6) ),
inference(forward_demodulation,[status(thm)],[f1462,f1670]) ).
fof(f1689,plain,
( sQ78_spl
| ~ sQ56_spl
| ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c6 != inverse(sk_c6) ),
inference(forward_demodulation,[status(thm)],[f1462,f1688]) ).
fof(f1690,plain,
( sQ78_spl
| ~ sQ56_spl
| ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c6 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f1462,f1689]) ).
fof(f1691,plain,
( sQ78_spl
| ~ sQ56_spl
| ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1690]) ).
fof(f1692,plain,
( sQ78_spl
| ~ sQ56_spl
| ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f1691]) ).
fof(f1693,plain,
$false,
inference(sat_refutation,[status(thm)],[f116,f120,f124,f128,f132,f136,f140,f144,f148,f152,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f182,f183,f184,f185,f186,f187,f188,f189,f190,f191,f195,f196,f197,f198,f199,f200,f201,f202,f203,f204,f220,f270,f290,f310,f316,f325,f336,f338,f361,f374,f381,f382,f388,f398,f402,f406,f410,f421,f438,f443,f684,f735,f747,f753,f785,f862,f879,f925,f991,f1007,f1012,f1013,f1014,f1098,f1132,f1136,f1182,f1204,f1217,f1239,f1249,f1268,f1304,f1305,f1306,f1307,f1309,f1438,f1451,f1487,f1671,f1682,f1686,f1692]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP338-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n013.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 20:08:51 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.08/0.43 % Refutation found
% 0.08/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.45 % Elapsed time: 0.080810 seconds
% 0.08/0.45 % CPU time: 0.389447 seconds
% 0.08/0.45 % Total memory used: 89.421 MB
% 0.08/0.45 % Net memory used: 89.172 MB
%------------------------------------------------------------------------------