%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP273-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 12:33:16 PM UTC 2026
% Result : Unsatisfiable 0.22s 20.42s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 90
% Syntax : Number of formulae : 532 ( 10 unt; 36 def)
% Number of atoms : 2533 ( 609 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 3834 (1833 ~;1965 |; 0 &)
% ( 36 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 38 ( 36 usr; 37 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 95 ( 95 !; 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_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( inverse(sk_c6) = sk_c8
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c1,sk_c11) = sk_c10 ),
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_c11,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c11,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c11,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c11,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c11,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c11,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| multiply(sk_c11,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c11,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
( inverse(sk_c6) = sk_c8
| multiply(sk_c11,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c11,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
( inverse(sk_c6) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
( inverse(sk_c6) = sk_c8
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c9 ),
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_c9
| multiply(X4,sk_c9) != sk_c11
| multiply(sk_c11,sk_c9) != sk_c10
| inverse(X3) != sk_c11
| multiply(X3,sk_c11) != sk_c10 ),
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_c1,sk_c11) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f59,plain,
( inverse(sk_c3) = sk_c11
| multiply(sk_c1,sk_c11) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f60,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c1,sk_c11) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f61,plain,
( inverse(sk_c4) = sk_c10
| multiply(sk_c1,sk_c11) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f62,plain,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c1,sk_c11) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f63,plain,
( inverse(sk_c5) = sk_c8
| multiply(sk_c1,sk_c11) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f64,plain,
( multiply(sk_c8,sk_c10) = sk_c11
| multiply(sk_c1,sk_c11) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f65,plain,
( inverse(sk_c7) = sk_c6
| multiply(sk_c1,sk_c11) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f66,plain,
( inverse(sk_c6) = sk_c8
| multiply(sk_c1,sk_c11) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f67,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c1,sk_c11) = sk_c10 ),
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_c11,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f79,plain,
( inverse(sk_c3) = sk_c11
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f80,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f81,plain,
( inverse(sk_c4) = sk_c10
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f82,plain,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f83,plain,
( inverse(sk_c5) = sk_c8
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f84,plain,
( multiply(sk_c8,sk_c10) = sk_c11
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f85,plain,
( inverse(sk_c7) = sk_c6
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f86,plain,
( inverse(sk_c6) = sk_c8
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f87,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f88,plain,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c2,sk_c9) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f89,plain,
( inverse(sk_c3) = sk_c11
| multiply(sk_c2,sk_c9) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f90,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f91,plain,
( inverse(sk_c4) = sk_c10
| multiply(sk_c2,sk_c9) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f92,plain,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c2,sk_c9) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f93,plain,
( inverse(sk_c5) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f94,plain,
( multiply(sk_c8,sk_c10) = sk_c11
| multiply(sk_c2,sk_c9) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f95,plain,
( inverse(sk_c7) = sk_c6
| multiply(sk_c2,sk_c9) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f96,plain,
( inverse(sk_c6) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f97,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c2,sk_c9) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f98,plain,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f99,plain,
( inverse(sk_c3) = sk_c11
| inverse(sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f100,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f101,plain,
( inverse(sk_c4) = sk_c10
| inverse(sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f102,plain,
( multiply(sk_c5,sk_c8) = sk_c11
| inverse(sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f103,plain,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f104,plain,
( multiply(sk_c8,sk_c10) = sk_c11
| inverse(sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f105,plain,
( inverse(sk_c7) = sk_c6
| inverse(sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f106,plain,
( inverse(sk_c6) = sk_c8
| inverse(sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f107,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c9 ),
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_c9
| multiply(X4,sk_c9) != sk_c11
| multiply(sk_c11,sk_c9) != sk_c10
| ! [X3] :
( inverse(X3) != sk_c11
| multiply(X3,sk_c11) != sk_c10 ) ) ) ) ) ),
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_c9
| multiply(X1,sk_c9) != sk_c11
| multiply(sk_c11,sk_c9) != sk_c10
| inverse(X0) != sk_c11
| multiply(X0,sk_c11) != sk_c10 ),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f110,definition,
( sQ0_spl
<=> multiply(sk_c1,sk_c11) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f111,plain,
( ~ sQ0_spl
| multiply(sk_c1,sk_c11) = sk_c10 ),
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(f119,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(f127,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_c11,sk_c9) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f167,plain,
( ~ sQ12_spl
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f168,plain,
( sQ12_spl
| multiply(sk_c11,sk_c9) != sk_c10 ),
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_c9) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f180,plain,
( ~ sQ13_spl
| multiply(sk_c2,sk_c9) = 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_c9 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f193,plain,
( ~ sQ14_spl
| inverse(sk_c2) = sk_c9 ),
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
<=> ( inverse(X0) != sk_c11
| multiply(X0,sk_c11) != sk_c10 ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f206,plain,
! [X0] :
( ~ sQ15_spl
| inverse(X0) != sk_c11
| multiply(X0,sk_c11) != sk_c10 ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f208,definition,
! [X1] :
( sQ16_spl
<=> ( inverse(X1) != sk_c9
| multiply(X1,sk_c9) != sk_c11 ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f209,plain,
! [X0] :
( ~ sQ16_spl
| inverse(X0) != sk_c9
| multiply(X0,sk_c9) != sk_c11 ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f211,definition,
! [X3] :
( sQ17_spl
<=> ( inverse(X3) != sk_c10
| multiply(X3,sk_c10) != sk_c9 ) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f212,plain,
! [X0] :
( ~ sQ17_spl
| inverse(X0) != sk_c10
| multiply(X0,sk_c10) != sk_c9 ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f214,definition,
! [X4,X5,X6,X7] :
( sQ18_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,[sQ18_spl])],[split_symbol_definition]) ).
fof(f215,plain,
! [X0,X1,X2,X3] :
( ~ sQ18_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)],[f214]) ).
fof(f217,plain,
( sQ18_spl
| sQ17_spl
| sQ16_spl
| ~ sQ12_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f109,f205,f166,f208,f211,f214]) ).
fof(f218,plain,
! [X0,X1] :
( ~ sQ18_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)],[f215]) ).
fof(f222,plain,
! [X0] :
( ~ sQ3_spl
| multiply(sk_c9,X0) = multiply(sk_c4,multiply(sk_c10,X0)) ),
inference(paramodulation,[status(thm)],[f122,f57]) ).
fof(f223,plain,
! [X0] :
( ~ sQ5_spl
| multiply(sk_c11,X0) = multiply(sk_c5,multiply(sk_c8,X0)) ),
inference(paramodulation,[status(thm)],[f130,f57]) ).
fof(f233,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ18_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,f218]) ).
fof(f235,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ18_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,f218]) ).
fof(f258,definition,
( sQ25_spl
<=> multiply(sk_c5,inverse(sk_c5)) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f260,plain,
( sQ25_spl
| multiply(sk_c5,inverse(sk_c5)) != sk_c11 ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,definition,
( sQ26_spl
<=> multiply(inverse(sk_c5),sk_c10) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f262,plain,
( ~ sQ26_spl
| multiply(inverse(sk_c5),sk_c10) = sk_c11 ),
inference(component_clause,[status(thm)],[f261]) ).
fof(f263,plain,
( sQ26_spl
| multiply(inverse(sk_c5),sk_c10) != sk_c11 ),
inference(component_clause,[status(thm)],[f261]) ).
fof(f264,definition,
! [X0] :
( sQ27_spl
<=> ( multiply(X0,sk_c8) != inverse(X0)
| inverse(inverse(X0)) != inverse(sk_c5) ) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f267,plain,
( ~ sQ6_spl
| ~ sQ18_spl
| sQ27_spl
| ~ sQ26_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f233,f258,f261,f264,f214,f133]) ).
fof(f278,definition,
( sQ31_spl
<=> multiply(sk_c6,inverse(sk_c6)) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f280,plain,
( sQ31_spl
| multiply(sk_c6,inverse(sk_c6)) != sk_c11 ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f281,definition,
( sQ32_spl
<=> multiply(inverse(sk_c6),sk_c10) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( sQ32_spl
| multiply(inverse(sk_c6),sk_c10) != sk_c11 ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f284,definition,
! [X0] :
( sQ33_spl
<=> ( multiply(X0,sk_c8) != inverse(X0)
| inverse(inverse(X0)) != inverse(sk_c6) ) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f287,plain,
( ~ sQ9_spl
| ~ sQ18_spl
| sQ33_spl
| ~ sQ32_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f235,f278,f281,f284,f214,f145]) ).
fof(f316,plain,
( ~ sQ3_spl
| ~ sQ17_spl
| inverse(sk_c4) != sk_c10
| sk_c9 != sk_c9 ),
inference(paramodulation,[status(thm)],[f122,f212]) ).
fof(f318,definition,
( sQ40_spl
<=> sk_c9 = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f320,plain,
( sQ40_spl
| sk_c9 != sk_c9 ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f321,plain,
( ~ sQ3_spl
| ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f316,f318,f125,f211,f121]) ).
fof(f322,definition,
( sQ41_spl
<=> sk_c11 = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f324,plain,
( sQ41_spl
| sk_c11 != sk_c9 ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f329,plain,
( sQ40_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f320]) ).
fof(f330,plain,
sQ40_spl,
inference(contradiction_clause,[status(thm)],[f329]) ).
fof(f332,plain,
( ~ sQ9_spl
| multiply(sk_c8,sk_c6) = identity ),
inference(paramodulation,[status(thm)],[f146,f56]) ).
fof(f333,plain,
( ~ sQ8_spl
| multiply(sk_c6,sk_c7) = identity ),
inference(paramodulation,[status(thm)],[f142,f56]) ).
fof(f334,plain,
( ~ sQ6_spl
| multiply(sk_c8,sk_c5) = identity ),
inference(paramodulation,[status(thm)],[f134,f56]) ).
fof(f337,plain,
( ~ sQ14_spl
| multiply(sk_c9,sk_c2) = identity ),
inference(paramodulation,[status(thm)],[f193,f56]) ).
fof(f338,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f56,f57]) ).
fof(f339,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f55,f338]) ).
fof(f348,plain,
( ~ sQ16_spl
| inverse(inverse(sk_c9)) != sk_c9
| identity != sk_c11 ),
inference(paramodulation,[status(thm)],[f56,f209]) ).
fof(f349,plain,
( ~ sQ16_spl
| inverse(identity) != sk_c9
| sk_c9 != sk_c11 ),
inference(paramodulation,[status(thm)],[f55,f209]) ).
fof(f351,definition,
( sQ43_spl
<=> identity = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f352,plain,
( ~ sQ43_spl
| identity = sk_c11 ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f353,plain,
( sQ43_spl
| identity != sk_c11 ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f354,definition,
( sQ44_spl
<=> inverse(inverse(sk_c9)) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f356,plain,
( sQ44_spl
| inverse(inverse(sk_c9)) != sk_c9 ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f357,plain,
( ~ sQ16_spl
| ~ sQ44_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f348,f351,f354,f208]) ).
fof(f358,definition,
( sQ45_spl
<=> inverse(identity) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f360,plain,
( sQ45_spl
| inverse(identity) != sk_c9 ),
inference(component_clause,[status(thm)],[f358]) ).
fof(f361,plain,
( ~ sQ16_spl
| ~ sQ45_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f349,f322,f358,f208]) ).
fof(f362,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| inverse(sk_c3) != sk_c11 ),
inference(resolution,[status(thm)],[f206,f114]) ).
fof(f363,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| inverse(sk_c1) != sk_c11 ),
inference(resolution,[status(thm)],[f206,f111]) ).
fof(f369,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| ~ sQ2_spl
| sk_c11 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f118,f362]) ).
fof(f370,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| ~ sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f369]) ).
fof(f371,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f370]) ).
fof(f377,plain,
( ~ sQ18_spl
| inverse(inverse(identity)) != inverse(identity)
| multiply(inverse(identity),sk_c10) != sk_c11
| multiply(identity,inverse(identity)) != sk_c11 ),
inference(resolution,[status(thm)],[f218,f55]) ).
fof(f387,definition,
( sQ46_spl
<=> multiply(identity,inverse(identity)) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f389,plain,
( sQ46_spl
| multiply(identity,inverse(identity)) != sk_c11 ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f390,definition,
( sQ47_spl
<=> multiply(inverse(identity),sk_c10) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f392,plain,
( sQ47_spl
| multiply(inverse(identity),sk_c10) != sk_c11 ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f393,definition,
( sQ48_spl
<=> inverse(inverse(identity)) = inverse(identity) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f395,plain,
( sQ48_spl
| inverse(inverse(identity)) != inverse(identity) ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f396,plain,
( ~ sQ18_spl
| ~ sQ48_spl
| ~ sQ47_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f377,f387,f390,f393,f214]) ).
fof(f403,plain,
( sQ46_spl
| inverse(identity) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f55,f389]) ).
fof(f404,plain,
( sQ32_spl
| ~ sQ9_spl
| multiply(sk_c8,sk_c10) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f146,f283]) ).
fof(f405,plain,
( sQ32_spl
| ~ sQ9_spl
| ~ sQ7_spl
| sk_c11 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f138,f404]) ).
fof(f406,plain,
( sQ32_spl
| ~ sQ9_spl
| ~ sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f405]) ).
fof(f407,plain,
( sQ32_spl
| ~ sQ9_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f406]) ).
fof(f409,plain,
( sQ31_spl
| ~ sQ9_spl
| multiply(sk_c6,sk_c8) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f146,f280]) ).
fof(f412,plain,
( sQ26_spl
| ~ sQ6_spl
| multiply(sk_c8,sk_c10) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f134,f263]) ).
fof(f413,plain,
( sQ26_spl
| ~ sQ6_spl
| ~ sQ7_spl
| sk_c11 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f138,f412]) ).
fof(f414,plain,
( sQ26_spl
| ~ sQ6_spl
| ~ sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f413]) ).
fof(f415,plain,
( sQ26_spl
| ~ sQ6_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f414]) ).
fof(f416,plain,
( ~ sQ26_spl
| ~ sQ6_spl
| multiply(sk_c8,sk_c10) = sk_c11 ),
inference(forward_demodulation,[status(thm)],[f134,f262]) ).
fof(f417,plain,
( sQ25_spl
| ~ sQ6_spl
| multiply(sk_c5,sk_c8) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f134,f260]) ).
fof(f418,plain,
( sQ25_spl
| ~ sQ6_spl
| ~ sQ5_spl
| sk_c11 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f130,f417]) ).
fof(f419,plain,
( sQ25_spl
| ~ sQ6_spl
| ~ sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f418]) ).
fof(f420,plain,
( sQ25_spl
| ~ sQ6_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f419]) ).
fof(f439,plain,
( ~ sQ8_spl
| sk_c7 = multiply(inverse(sk_c6),identity) ),
inference(paramodulation,[status(thm)],[f333,f339]) ).
fof(f445,plain,
( ~ sQ1_spl
| sk_c11 = multiply(inverse(sk_c3),sk_c10) ),
inference(paramodulation,[status(thm)],[f114,f339]) ).
fof(f446,plain,
! [X0] :
( ~ sQ3_spl
| multiply(sk_c10,X0) = multiply(inverse(sk_c4),multiply(sk_c9,X0)) ),
inference(paramodulation,[status(thm)],[f222,f339]) ).
fof(f447,plain,
( ~ sQ3_spl
| sk_c10 = multiply(inverse(sk_c4),sk_c9) ),
inference(paramodulation,[status(thm)],[f122,f339]) ).
fof(f448,plain,
( ~ sQ5_spl
| sk_c8 = multiply(inverse(sk_c5),sk_c11) ),
inference(paramodulation,[status(thm)],[f130,f339]) ).
fof(f452,plain,
( ~ sQ10_spl
| sk_c8 = multiply(inverse(sk_c7),sk_c6) ),
inference(paramodulation,[status(thm)],[f150,f339]) ).
fof(f455,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| sk_c7 = multiply(sk_c8,identity) ),
inference(forward_demodulation,[status(thm)],[f146,f439]) ).
fof(f457,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| sk_c11 = multiply(sk_c11,sk_c10) ),
inference(forward_demodulation,[status(thm)],[f118,f445]) ).
fof(f459,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| sk_c10 = multiply(sk_c10,sk_c9) ),
inference(forward_demodulation,[status(thm)],[f126,f447]) ).
fof(f460,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| sk_c8 = multiply(sk_c8,sk_c11) ),
inference(forward_demodulation,[status(thm)],[f134,f448]) ).
fof(f461,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| sk_c8 = multiply(sk_c6,sk_c6) ),
inference(forward_demodulation,[status(thm)],[f142,f452]) ).
fof(f473,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| sk_c10 = multiply(inverse(sk_c11),sk_c11) ),
inference(paramodulation,[status(thm)],[f457,f339]) ).
fof(f476,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| sk_c10 = identity ),
inference(forward_demodulation,[status(thm)],[f56,f473]) ).
fof(f478,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c7 = multiply(sk_c8,sk_c10) ),
inference(backward_demodulation,[status(thm)],[f476,f455]) ).
fof(f479,plain,
( sQ46_spl
| ~ sQ1_spl
| ~ sQ2_spl
| inverse(sk_c10) != sk_c11 ),
inference(backward_demodulation,[status(thm)],[f476,f403]) ).
fof(f482,plain,
( sQ45_spl
| ~ sQ1_spl
| ~ sQ2_spl
| inverse(sk_c10) != sk_c9 ),
inference(backward_demodulation,[status(thm)],[f476,f360]) ).
fof(f484,plain,
( ~ sQ6_spl
| ~ sQ1_spl
| ~ sQ2_spl
| multiply(sk_c8,sk_c5) = sk_c10 ),
inference(backward_demodulation,[status(thm)],[f476,f334]) ).
fof(f485,plain,
( ~ sQ8_spl
| ~ sQ1_spl
| ~ sQ2_spl
| multiply(sk_c6,sk_c7) = sk_c10 ),
inference(backward_demodulation,[status(thm)],[f476,f333]) ).
fof(f486,plain,
( ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| multiply(sk_c8,sk_c6) = sk_c10 ),
inference(backward_demodulation,[status(thm)],[f476,f332]) ).
fof(f487,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| multiply(inverse(X0),X0) = sk_c10 ),
inference(backward_demodulation,[status(thm)],[f476,f56]) ).
fof(f488,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| multiply(sk_c10,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f476,f55]) ).
fof(f489,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| sk_c7 = sk_c11 ),
inference(forward_demodulation,[status(thm)],[f138,f478]) ).
fof(f492,plain,
( sQ12_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| multiply(sk_c7,sk_c9) != sk_c10 ),
inference(backward_demodulation,[status(thm)],[f489,f168]) ).
fof(f495,plain,
( sQ41_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| sk_c7 != sk_c9 ),
inference(backward_demodulation,[status(thm)],[f489,f324]) ).
fof(f501,plain,
( sQ46_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| inverse(sk_c10) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f489,f479]) ).
fof(f506,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c9,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f512,f488]) ).
fof(f507,plain,
( sQ45_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| inverse(sk_c9) != sk_c9 ),
inference(backward_demodulation,[status(thm)],[f512,f482]) ).
fof(f508,plain,
( sQ46_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| inverse(sk_c9) != sk_c7 ),
inference(backward_demodulation,[status(thm)],[f512,f501]) ).
fof(f509,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c9 = identity ),
inference(backward_demodulation,[status(thm)],[f512,f476]) ).
fof(f512,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c10 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f488,f459]) ).
fof(f515,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(inverse(X0),X0) = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f512,f487]) ).
fof(f518,plain,
( ~ sQ8_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c6,sk_c7) = sk_c9 ),
inference(paramodulation,[status(thm)],[f142,f515]) ).
fof(f519,plain,
( ~ sQ6_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c8,sk_c5) = sk_c9 ),
inference(paramodulation,[status(thm)],[f134,f515]) ).
fof(f520,plain,
( ~ sQ14_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c9,sk_c2) = sk_c9 ),
inference(paramodulation,[status(thm)],[f193,f515]) ).
fof(f523,plain,
( ~ sQ14_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c2 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f506,f520]) ).
fof(f525,plain,
( sQ12_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c7,sk_c9) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f512,f492]) ).
fof(f529,plain,
( sQ45_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| inverse(sk_c9) != sk_c2 ),
inference(backward_demodulation,[status(thm)],[f523,f507]) ).
fof(f530,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| multiply(sk_c2,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f523,f506]) ).
fof(f531,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| sk_c2 = identity ),
inference(backward_demodulation,[status(thm)],[f523,f509]) ).
fof(f532,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ14_spl
| sk_c10 = sk_c2 ),
inference(backward_demodulation,[status(thm)],[f523,f512]) ).
fof(f534,plain,
( sQ44_spl
| ~ sQ14_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| inverse(inverse(sk_c9)) != sk_c2 ),
inference(backward_demodulation,[status(thm)],[f523,f356]) ).
fof(f535,plain,
( ~ sQ14_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| inverse(sk_c2) = sk_c2 ),
inference(backward_demodulation,[status(thm)],[f523,f193]) ).
fof(f537,plain,
( sQ45_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| inverse(sk_c2) != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f523,f529]) ).
fof(f538,plain,
( sQ44_spl
| ~ sQ14_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| inverse(inverse(sk_c2)) != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f523,f534]) ).
fof(f539,plain,
( sQ46_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| inverse(sk_c2) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f523,f508]) ).
fof(f548,plain,
( ~ sQ14_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f535,f537]) ).
fof(f549,plain,
( ~ sQ14_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f548]) ).
fof(f552,plain,
( sQ46_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| sk_c2 != sk_c7 ),
inference(backward_demodulation,[status(thm)],[f535,f539]) ).
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)],[f489,f460]) ).
fof(f556,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| sk_c7 = multiply(inverse(sk_c8),sk_c8) ),
inference(paramodulation,[status(thm)],[f555,f339]) ).
fof(f558,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| sk_c6 = multiply(inverse(sk_c6),sk_c8) ),
inference(paramodulation,[status(thm)],[f461,f339]) ).
fof(f560,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| sk_c6 = multiply(sk_c8,sk_c8) ),
inference(forward_demodulation,[status(thm)],[f146,f558]) ).
fof(f587,plain,
( ~ sQ8_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| multiply(sk_c6,sk_c7) = sk_c2 ),
inference(forward_demodulation,[status(thm)],[f532,f485]) ).
fof(f592,plain,
( ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| multiply(sk_c8,sk_c6) = sk_c2 ),
inference(forward_demodulation,[status(thm)],[f532,f486]) ).
fof(f623,plain,
( sQ44_spl
| ~ sQ14_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| inverse(sk_c2) != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f535,f538]) ).
fof(f624,plain,
( sQ44_spl
| ~ sQ14_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c2 != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f535,f623]) ).
fof(f625,plain,
( sQ44_spl
| ~ sQ14_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f624]) ).
fof(f626,plain,
( sQ44_spl
| ~ sQ14_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f625]) ).
fof(f627,plain,
( sQ43_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| sk_c2 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f531,f353]) ).
fof(f628,plain,
( sQ43_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| sk_c2 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f489,f627]) ).
fof(f639,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)],[f489,f223]) ).
fof(f640,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,f639]) ).
fof(f647,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,f640]) ).
fof(f658,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)],[f647,f339]) ).
fof(f660,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,f658]) ).
fof(f661,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| sk_c6 = sk_c2 ),
inference(forward_demodulation,[status(thm)],[f592,f660]) ).
fof(f666,plain,
( ~ sQ8_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| multiply(sk_c2,sk_c7) = sk_c2 ),
inference(backward_demodulation,[status(thm)],[f661,f587]) ).
fof(f676,plain,
( ~ sQ8_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| sk_c7 = sk_c2 ),
inference(forward_demodulation,[status(thm)],[f530,f666]) ).
fof(f715,plain,
( sQ43_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c2 != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f676,f628]) ).
fof(f716,plain,
( sQ43_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ5_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f715]) ).
fof(f717,plain,
( sQ43_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ5_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f716]) ).
fof(f718,plain,
( sQ48_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| inverse(inverse(sk_c2)) != inverse(identity) ),
inference(forward_demodulation,[status(thm)],[f531,f395]) ).
fof(f719,plain,
( sQ48_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| inverse(sk_c2) != inverse(identity) ),
inference(forward_demodulation,[status(thm)],[f535,f718]) ).
fof(f720,plain,
( sQ48_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| sk_c2 != inverse(identity) ),
inference(forward_demodulation,[status(thm)],[f535,f719]) ).
fof(f721,plain,
( sQ48_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| sk_c2 != inverse(sk_c2) ),
inference(forward_demodulation,[status(thm)],[f531,f720]) ).
fof(f722,plain,
( sQ48_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| sk_c2 != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f535,f721]) ).
fof(f723,plain,
( sQ48_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f722]) ).
fof(f724,plain,
( sQ48_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f723]) ).
fof(f729,plain,
( sQ46_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| ~ sQ10_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c2 != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f676,f552]) ).
fof(f730,plain,
( sQ46_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| ~ sQ10_spl
| ~ sQ5_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f729]) ).
fof(f731,plain,
( sQ46_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ14_spl
| ~ sQ10_spl
| ~ sQ5_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f730]) ).
fof(f738,plain,
( ~ sQ13_spl
| sk_c9 = multiply(inverse(sk_c2),sk_c11) ),
inference(paramodulation,[status(thm)],[f180,f339]) ).
fof(f740,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| sk_c9 = multiply(sk_c9,sk_c11) ),
inference(forward_demodulation,[status(thm)],[f193,f738]) ).
fof(f745,plain,
( ~ sQ0_spl
| sk_c11 = multiply(inverse(sk_c1),sk_c10) ),
inference(paramodulation,[status(thm)],[f111,f339]) ).
fof(f747,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| sk_c11 = multiply(sk_c11,sk_c10) ),
inference(forward_demodulation,[status(thm)],[f154,f745]) ).
fof(f757,plain,
( ~ sQ11_spl
| multiply(sk_c11,sk_c1) = identity ),
inference(paramodulation,[status(thm)],[f154,f56]) ).
fof(f762,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| sk_c11 = multiply(inverse(sk_c9),sk_c9) ),
inference(paramodulation,[status(thm)],[f740,f339]) ).
fof(f764,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| sk_c11 = identity ),
inference(forward_demodulation,[status(thm)],[f56,f762]) ).
fof(f765,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f764,f353]) ).
fof(f766,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f765]) ).
fof(f767,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| sk_c7 = identity ),
inference(forward_demodulation,[status(thm)],[f56,f556]) ).
fof(f768,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| identity = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f56,f487]) ).
fof(f769,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| identity = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f56,f515]) ).
fof(f780,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| sk_c7 = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f767,f768]) ).
fof(f784,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| sk_c7 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f767,f769]) ).
fof(f785,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f784,f495]) ).
fof(f786,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f785]) ).
fof(f788,plain,
( sQ31_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| multiply(sk_c6,sk_c8) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f489,f409]) ).
fof(f829,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| sk_c9 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f767,f509]) ).
fof(f832,plain,
( ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| sk_c8 = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f833,f150]) ).
fof(f833,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| multiply(sk_c7,X0) = X0 ),
inference(forward_demodulation,[status(thm)],[f780,f488]) ).
fof(f849,plain,
( ~ sQ6_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| inverse(sk_c5) = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f832,f134]) ).
fof(f856,plain,
! [X0] :
( ~ sQ8_spl
| X0 = multiply(sk_c6,multiply(sk_c7,X0)) ),
inference(paramodulation,[status(thm)],[f142,f339]) ).
fof(f857,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ9_spl
| ~ sQ7_spl
| X0 = multiply(sk_c6,X0) ),
inference(forward_demodulation,[status(thm)],[f833,f856]) ).
fof(f945,plain,
( ~ sQ6_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ5_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| multiply(sk_c6,sk_c5) = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f832,f484]) ).
fof(f946,plain,
( ~ sQ6_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ5_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| sk_c5 = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f857,f945]) ).
fof(f1007,plain,
( ~ sQ26_spl
| ~ sQ6_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| multiply(sk_c6,sk_c10) = sk_c11 ),
inference(forward_demodulation,[status(thm)],[f832,f416]) ).
fof(f1008,plain,
( ~ sQ26_spl
| ~ sQ6_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| sk_c10 = sk_c11 ),
inference(forward_demodulation,[status(thm)],[f857,f1007]) ).
fof(f1015,plain,
( ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ7_spl
| multiply(sk_c6,sk_c6) = identity ),
inference(forward_demodulation,[status(thm)],[f832,f332]) ).
fof(f1016,plain,
( ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ7_spl
| sk_c6 = identity ),
inference(forward_demodulation,[status(thm)],[f857,f1015]) ).
fof(f1020,plain,
( ~ sQ6_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ5_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| multiply(sk_c6,sk_c5) = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f832,f519]) ).
fof(f1021,plain,
( ~ sQ6_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ5_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| sk_c5 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f857,f1020]) ).
fof(f1023,plain,
( ~ sQ8_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ9_spl
| ~ sQ7_spl
| sk_c7 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f857,f518]) ).
fof(f1048,definition,
( sQ52_spl
<=> multiply(sk_c6,inverse(sk_c6)) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f1050,plain,
( sQ52_spl
| multiply(sk_c6,inverse(sk_c6)) != sk_c6 ),
inference(component_clause,[status(thm)],[f1048]) ).
fof(f1051,definition,
( sQ53_spl
<=> multiply(inverse(sk_c6),sk_c6) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f1053,plain,
( sQ53_spl
| multiply(inverse(sk_c6),sk_c6) != sk_c6 ),
inference(component_clause,[status(thm)],[f1051]) ).
fof(f1054,definition,
( sQ54_spl
<=> inverse(inverse(sk_c6)) = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f1056,plain,
( sQ54_spl
| inverse(inverse(sk_c6)) != inverse(sk_c6) ),
inference(component_clause,[status(thm)],[f1054]) ).
fof(f1067,plain,
! [X0] :
( ~ sQ43_spl
| multiply(sk_c11,X0) = X0 ),
inference(forward_demodulation,[status(thm)],[f352,f55]) ).
fof(f1076,plain,
( ~ sQ11_spl
| ~ sQ43_spl
| sk_c1 = identity ),
inference(forward_demodulation,[status(thm)],[f1067,f757]) ).
fof(f1077,plain,
( ~ sQ11_spl
| ~ sQ43_spl
| inverse(sk_c11) = sk_c11 ),
inference(backward_demodulation,[status(thm)],[f1078,f154]) ).
fof(f1078,plain,
( ~ sQ11_spl
| ~ sQ43_spl
| sk_c1 = sk_c11 ),
inference(forward_demodulation,[status(thm)],[f352,f1076]) ).
fof(f1082,plain,
( ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ0_spl
| inverse(sk_c11) = sk_c10 ),
inference(backward_demodulation,[status(thm)],[f1087,f1077]) ).
fof(f1083,plain,
( ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ0_spl
| sk_c1 = sk_c10 ),
inference(backward_demodulation,[status(thm)],[f1087,f1078]) ).
fof(f1084,plain,
( sQ2_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ43_spl
| inverse(sk_c3) != sk_c10 ),
inference(backward_demodulation,[status(thm)],[f1087,f119]) ).
fof(f1085,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| multiply(sk_c10,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f1087,f1067]) ).
fof(f1086,plain,
( ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| identity = sk_c10 ),
inference(backward_demodulation,[status(thm)],[f1087,f352]) ).
fof(f1087,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ43_spl
| sk_c11 = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f1067,f747]) ).
fof(f1088,plain,
( ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ0_spl
| inverse(sk_c10) = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f1087,f1082]) ).
fof(f1095,plain,
( ~ sQ1_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ43_spl
| multiply(sk_c3,sk_c10) = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f1087,f114]) ).
fof(f1106,plain,
( ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ43_spl
| multiply(sk_c10,sk_c9) = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f1087,f167]) ).
fof(f1107,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| multiply(sk_c9,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f1116,f1085]) ).
fof(f1108,plain,
( sQ2_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ12_spl
| inverse(sk_c3) != sk_c9 ),
inference(backward_demodulation,[status(thm)],[f1116,f1084]) ).
fof(f1110,plain,
( ~ sQ1_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ12_spl
| multiply(sk_c3,sk_c10) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f1116,f1095]) ).
fof(f1111,plain,
( ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ12_spl
| inverse(sk_c10) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f1116,f1088]) ).
fof(f1112,plain,
( ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| identity = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f1116,f1086]) ).
fof(f1113,plain,
( ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ12_spl
| sk_c1 = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f1116,f1083]) ).
fof(f1114,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ12_spl
| sk_c11 = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f1116,f1087]) ).
fof(f1115,plain,
( sQ4_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ43_spl
| inverse(sk_c4) != sk_c9 ),
inference(backward_demodulation,[status(thm)],[f1116,f127]) ).
fof(f1116,plain,
( ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ43_spl
| sk_c9 = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f1085,f1106]) ).
fof(f1117,plain,
( ~ sQ1_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ12_spl
| multiply(sk_c3,sk_c9) = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1116,f1110]) ).
fof(f1118,plain,
( ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ12_spl
| inverse(sk_c9) = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1116,f1111]) ).
fof(f1127,plain,
( ~ sQ14_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| sk_c2 = identity ),
inference(forward_demodulation,[status(thm)],[f1107,f337]) ).
fof(f1128,plain,
( sQ4_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ14_spl
| inverse(sk_c4) != sk_c2 ),
inference(backward_demodulation,[status(thm)],[f1137,f1115]) ).
fof(f1129,plain,
( ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ14_spl
| inverse(sk_c9) = sk_c2 ),
inference(backward_demodulation,[status(thm)],[f1137,f1118]) ).
fof(f1130,plain,
( sQ2_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ14_spl
| inverse(sk_c3) != sk_c2 ),
inference(backward_demodulation,[status(thm)],[f1137,f1108]) ).
fof(f1131,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ14_spl
| multiply(sk_c2,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f1137,f1107]) ).
fof(f1132,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ14_spl
| sk_c11 = sk_c2 ),
inference(backward_demodulation,[status(thm)],[f1137,f1114]) ).
fof(f1133,plain,
( ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ14_spl
| sk_c1 = sk_c2 ),
inference(backward_demodulation,[status(thm)],[f1137,f1113]) ).
fof(f1134,plain,
( ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ14_spl
| identity = sk_c2 ),
inference(backward_demodulation,[status(thm)],[f1137,f1112]) ).
fof(f1135,plain,
( ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ14_spl
| sk_c2 = sk_c10 ),
inference(backward_demodulation,[status(thm)],[f1137,f1116]) ).
fof(f1137,plain,
( ~ sQ14_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| sk_c2 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1112,f1127]) ).
fof(f1138,plain,
( ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ14_spl
| inverse(sk_c2) = sk_c2 ),
inference(forward_demodulation,[status(thm)],[f1137,f1129]) ).
fof(f1139,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ14_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| inverse(X0) != sk_c10
| multiply(X0,sk_c10) != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f1137,f212]) ).
fof(f1145,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ14_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| inverse(X0) != sk_c2
| multiply(X0,sk_c10) != sk_c2 ),
inference(backward_demodulation,[status(thm)],[f1135,f1139]) ).
fof(f1146,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ14_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| inverse(X0) != sk_c2
| multiply(X0,sk_c2) != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f1135,f1145]) ).
fof(f1152,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ14_spl
| multiply(inverse(X0),X0) = sk_c2 ),
inference(forward_demodulation,[status(thm)],[f1134,f56]) ).
fof(f1174,plain,
( ~ sQ1_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ14_spl
| multiply(sk_c3,sk_c2) = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1137,f1117]) ).
fof(f1175,plain,
( ~ sQ1_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ14_spl
| multiply(sk_c3,sk_c2) = sk_c2 ),
inference(forward_demodulation,[status(thm)],[f1137,f1174]) ).
fof(f1177,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ14_spl
| multiply(sk_c2,X0) = multiply(sk_c3,multiply(sk_c2,X0)) ),
inference(paramodulation,[status(thm)],[f1175,f57]) ).
fof(f1178,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ14_spl
| X0 = multiply(sk_c3,multiply(sk_c2,X0)) ),
inference(forward_demodulation,[status(thm)],[f1131,f1177]) ).
fof(f1179,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ14_spl
| X0 = multiply(sk_c3,X0) ),
inference(forward_demodulation,[status(thm)],[f1131,f1178]) ).
fof(f1181,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ14_spl
| X0 = multiply(inverse(sk_c3),X0) ),
inference(paramodulation,[status(thm)],[f1179,f339]) ).
fof(f1187,plain,
( ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ17_spl
| inverse(inverse(sk_c2)) != sk_c2 ),
inference(resolution,[status(thm)],[f1146,f1152]) ).
fof(f1194,plain,
( ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ17_spl
| inverse(sk_c2) != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f1138,f1187]) ).
fof(f1195,plain,
( ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ17_spl
| sk_c2 != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f1138,f1194]) ).
fof(f1196,plain,
( ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ17_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1195]) ).
fof(f1197,plain,
( ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1196]) ).
fof(f1204,plain,
( sQ44_spl
| ~ sQ14_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| inverse(inverse(sk_c2)) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1137,f356]) ).
fof(f1205,plain,
( sQ44_spl
| ~ sQ14_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| inverse(sk_c2) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1138,f1204]) ).
fof(f1206,plain,
( sQ44_spl
| ~ sQ14_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| sk_c2 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1138,f1205]) ).
fof(f1207,plain,
( sQ44_spl
| ~ sQ14_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| sk_c2 != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f1137,f1206]) ).
fof(f1208,plain,
( sQ44_spl
| ~ sQ14_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1207]) ).
fof(f1209,plain,
( sQ44_spl
| ~ sQ14_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f1208]) ).
fof(f1280,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ14_spl
| inverse(sk_c2) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f1133,f363]) ).
fof(f1281,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ14_spl
| sk_c2 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f1138,f1280]) ).
fof(f1282,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ14_spl
| sk_c2 != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f1132,f1281]) ).
fof(f1283,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1282]) ).
fof(f1284,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f1283]) ).
fof(f1301,plain,
( ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ1_spl
| sk_c3 = sk_c2 ),
inference(paramodulation,[status(thm)],[f1152,f1181]) ).
fof(f1320,plain,
( sQ2_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ1_spl
| inverse(sk_c2) != sk_c2 ),
inference(backward_demodulation,[status(thm)],[f1301,f1130]) ).
fof(f1322,plain,
( sQ2_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ1_spl
| sk_c2 != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f1138,f1320]) ).
fof(f1323,plain,
( sQ2_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1322]) ).
fof(f1324,plain,
( sQ2_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f1323]) ).
fof(f1380,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ14_spl
| multiply(sk_c2,X0) = multiply(inverse(sk_c4),multiply(sk_c9,X0)) ),
inference(forward_demodulation,[status(thm)],[f1135,f446]) ).
fof(f1381,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ14_spl
| X0 = multiply(inverse(sk_c4),multiply(sk_c9,X0)) ),
inference(forward_demodulation,[status(thm)],[f1131,f1380]) ).
fof(f1382,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ14_spl
| X0 = multiply(inverse(sk_c4),multiply(sk_c2,X0)) ),
inference(forward_demodulation,[status(thm)],[f1137,f1381]) ).
fof(f1383,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ14_spl
| X0 = multiply(inverse(sk_c4),X0) ),
inference(forward_demodulation,[status(thm)],[f1131,f1382]) ).
fof(f1416,plain,
( ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ3_spl
| sk_c4 = sk_c2 ),
inference(paramodulation,[status(thm)],[f1152,f1383]) ).
fof(f1434,plain,
( sQ4_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ14_spl
| ~ sQ3_spl
| inverse(sk_c2) != sk_c2 ),
inference(backward_demodulation,[status(thm)],[f1416,f1128]) ).
fof(f1437,plain,
( sQ4_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ14_spl
| ~ sQ3_spl
| sk_c2 != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f1138,f1434]) ).
fof(f1438,plain,
( sQ4_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ14_spl
| ~ sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1437]) ).
fof(f1439,plain,
( sQ4_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ14_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f1438]) ).
fof(f1440,plain,
( ~ sQ6_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ5_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| sk_c5 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f1023,f1021]) ).
fof(f1450,plain,
( ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ7_spl
| sk_c6 = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f768,f1016]) ).
fof(f1451,plain,
( ~ sQ26_spl
| ~ sQ6_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| sk_c6 = sk_c11 ),
inference(forward_demodulation,[status(thm)],[f1450,f1008]) ).
fof(f1453,plain,
( ~ sQ6_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ5_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c7 = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f1440,f946]) ).
fof(f1455,plain,
( ~ sQ6_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ5_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| sk_c5 = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f1457,f1440]) ).
fof(f1457,plain,
( ~ sQ6_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ5_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c7 = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f1450,f1453]) ).
fof(f1460,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ10_spl
| sk_c9 = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f1457,f829]) ).
fof(f1462,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c6 = identity ),
inference(forward_demodulation,[status(thm)],[f1457,f767]) ).
fof(f1467,plain,
! [X0,X1] :
( ~ sQ18_spl
| ~ sQ26_spl
| ~ sQ6_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_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)],[f1451,f218]) ).
fof(f1468,plain,
! [X0,X1] :
( ~ sQ18_spl
| ~ sQ26_spl
| ~ sQ6_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_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)],[f1450,f1467]) ).
fof(f1469,plain,
! [X0,X1] :
( ~ sQ18_spl
| ~ sQ26_spl
| ~ sQ6_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_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)],[f1451,f1468]) ).
fof(f1485,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(inverse(X0),X0) = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f1462,f56]) ).
fof(f1517,plain,
( ~ sQ6_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| inverse(sk_c6) = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f1455,f849]) ).
fof(f1538,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c6,X0) = X0 ),
inference(forward_demodulation,[status(thm)],[f1462,f55]) ).
fof(f1539,plain,
( ~ sQ18_spl
| ~ sQ26_spl
| ~ sQ6_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_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)],[f1538,f1469]) ).
fof(f1543,plain,
( ~ sQ18_spl
| ~ sQ26_spl
| ~ sQ6_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ54_spl
| ~ sQ53_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f1539,f1048,f1051,f1054,f125,f121,f137,f145,f141,f129,f117,f113,f149,f133,f261,f214]) ).
fof(f1633,plain,
( sQ31_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ10_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c8 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f1538,f788]) ).
fof(f1634,plain,
( sQ31_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ10_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c6 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f832,f1633]) ).
fof(f1635,plain,
( sQ31_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ10_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c6 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f1457,f1634]) ).
fof(f1636,plain,
( sQ31_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ10_spl
| ~ sQ3_spl
| ~ sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1635]) ).
fof(f1637,plain,
( sQ31_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ10_spl
| ~ sQ3_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f1636]) ).
fof(f1638,plain,
( sQ12_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ6_spl
| ~ sQ10_spl
| ~ sQ5_spl
| multiply(sk_c6,sk_c9) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1457,f525]) ).
fof(f1639,plain,
( sQ12_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ6_spl
| ~ sQ10_spl
| ~ sQ5_spl
| sk_c9 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1538,f1638]) ).
fof(f1640,plain,
( sQ12_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ6_spl
| ~ sQ10_spl
| ~ sQ5_spl
| sk_c6 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1460,f1639]) ).
fof(f1641,plain,
( sQ12_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ6_spl
| ~ sQ10_spl
| ~ sQ5_spl
| sk_c6 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f1460,f1640]) ).
fof(f1642,plain,
( sQ12_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ6_spl
| ~ sQ10_spl
| ~ sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1641]) ).
fof(f1643,plain,
( sQ12_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ6_spl
| ~ sQ10_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f1642]) ).
fof(f1646,plain,
( sQ53_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c6 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f1485,f1053]) ).
fof(f1647,plain,
( sQ53_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ3_spl
| ~ sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1646]) ).
fof(f1648,plain,
( sQ53_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ3_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f1647]) ).
fof(f1649,plain,
( sQ52_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ3_spl
| ~ sQ4_spl
| inverse(sk_c6) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f1538,f1050]) ).
fof(f1650,plain,
( sQ52_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c6 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f1517,f1649]) ).
fof(f1651,plain,
( sQ52_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ3_spl
| ~ sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1650]) ).
fof(f1652,plain,
( sQ52_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ3_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f1651]) ).
fof(f1695,plain,
( sQ45_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ10_spl
| inverse(sk_c6) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1460,f507]) ).
fof(f1696,plain,
( sQ45_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ10_spl
| sk_c6 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1517,f1695]) ).
fof(f1697,plain,
( sQ45_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ10_spl
| sk_c6 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f1460,f1696]) ).
fof(f1698,plain,
( sQ45_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1697]) ).
fof(f1699,plain,
( sQ45_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f1698]) ).
fof(f1710,plain,
( sQ54_spl
| ~ sQ6_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| inverse(sk_c6) != inverse(sk_c6) ),
inference(forward_demodulation,[status(thm)],[f1517,f1056]) ).
fof(f1711,plain,
( sQ54_spl
| ~ sQ6_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c6 != inverse(sk_c6) ),
inference(forward_demodulation,[status(thm)],[f1517,f1710]) ).
fof(f1712,plain,
( sQ54_spl
| ~ sQ6_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c6 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f1517,f1711]) ).
fof(f1713,plain,
( sQ54_spl
| ~ sQ6_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1712]) ).
fof(f1714,plain,
( sQ54_spl
| ~ sQ6_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f1713]) ).
fof(f1741,plain,
( sQ46_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ14_spl
| inverse(sk_c2) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f1134,f403]) ).
fof(f1742,plain,
( sQ46_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ14_spl
| inverse(sk_c2) != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f1132,f1741]) ).
fof(f1771,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ14_spl
| multiply(inverse(X0),X0) = sk_c2 ),
inference(forward_demodulation,[status(thm)],[f1134,f56]) ).
fof(f1809,plain,
( ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ14_spl
| inverse(sk_c2) = sk_c11 ),
inference(forward_demodulation,[status(thm)],[f1133,f154]) ).
fof(f1814,plain,
( ~ sQ11_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ14_spl
| inverse(sk_c2) = sk_c2 ),
inference(forward_demodulation,[status(thm)],[f1132,f1809]) ).
fof(f1835,plain,
( sQ47_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ14_spl
| multiply(inverse(sk_c2),sk_c10) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f1134,f392]) ).
fof(f1836,plain,
( sQ47_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ14_spl
| multiply(inverse(sk_c2),sk_c2) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f1135,f1835]) ).
fof(f1837,plain,
( sQ47_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ14_spl
| sk_c2 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f1771,f1836]) ).
fof(f1838,plain,
( sQ47_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ14_spl
| sk_c2 != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f1132,f1837]) ).
fof(f1839,plain,
( sQ47_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1838]) ).
fof(f1840,plain,
( sQ47_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f1839]) ).
fof(f1848,plain,
( sQ46_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ14_spl
| sk_c2 != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f1814,f1742]) ).
fof(f1849,plain,
( sQ46_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1848]) ).
fof(f1850,plain,
( sQ46_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f1849]) ).
fof(f1851,plain,
( sQ48_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ14_spl
| inverse(inverse(sk_c2)) != inverse(identity) ),
inference(forward_demodulation,[status(thm)],[f1134,f395]) ).
fof(f1852,plain,
( sQ48_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ14_spl
| inverse(sk_c2) != inverse(identity) ),
inference(forward_demodulation,[status(thm)],[f1814,f1851]) ).
fof(f1853,plain,
( sQ48_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ14_spl
| sk_c2 != inverse(identity) ),
inference(forward_demodulation,[status(thm)],[f1814,f1852]) ).
fof(f1854,plain,
( sQ48_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ14_spl
| sk_c2 != inverse(sk_c2) ),
inference(forward_demodulation,[status(thm)],[f1134,f1853]) ).
fof(f1855,plain,
( sQ48_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ14_spl
| sk_c2 != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f1814,f1854]) ).
fof(f1856,plain,
( sQ48_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1855]) ).
fof(f1857,plain,
( sQ48_spl
| ~ sQ43_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f1856]) ).
fof(f1858,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,f217,f267,f287,f321,f330,f357,f361,f371,f396,f407,f415,f420,f549,f626,f717,f724,f731,f766,f786,f1197,f1209,f1284,f1324,f1439,f1543,f1637,f1643,f1648,f1652,f1699,f1714,f1840,f1850,f1857]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP273-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.10/20.32 % CPULimit : 300
% 0.10/20.32 % WCLimit : 300
% 0.10/20.32 % DateTime : Sun Sep 20 20:08:18 UTC 2026
% 0.10/20.32 % CPUTime :
% 0.10/20.33 % Drodi V4.1.1
% 0.22/20.42 % Refutation found
% 0.22/20.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/20.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/20.45 % Elapsed time: 0.107413 seconds
% 0.22/20.45 % CPU time: 0.575430 seconds
% 0.22/20.45 % Total memory used: 115.772 MB
% 0.22/20.45 % Net memory used: 115.278 MB
%------------------------------------------------------------------------------