%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP379-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 12:33:34 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.63s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 109
% Syntax : Number of formulae : 541 ( 16 unt; 57 def)
% Number of atoms : 1937 ( 609 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 2618 (1222 ~;1339 |; 0 &)
% ( 57 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 59 ( 57 usr; 58 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 112 ( 112 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : multiply(identity,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : multiply(inverse(X),X) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( inverse(sk_c6) = sk_c8
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c10,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c10,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c10,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c10,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c10,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c10,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c10,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( inverse(sk_c6) = sk_c8
| multiply(sk_c10,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c1,sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c1,sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c1,sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c1,sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c1,sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c1,sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| multiply(sk_c1,sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c1,sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
( inverse(sk_c6) = sk_c8
| multiply(sk_c1,sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c1,sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
( inverse(sk_c6) = sk_c8
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
( inverse(sk_c6) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/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
| multiply(X4,sk_c9) != sk_c11
| inverse(X3) != X4
| multiply(X3,X4) != sk_c11
| multiply(sk_c10,sk_c9) != sk_c11
| inverse(sk_c11) != sk_c10 ),
file('/export/starexec/sandbox2/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
| inverse(sk_c11) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f59,plain,
( inverse(sk_c3) = sk_c11
| inverse(sk_c11) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f60,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c11) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f61,plain,
( inverse(sk_c4) = sk_c10
| inverse(sk_c11) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f62,plain,
( multiply(sk_c5,sk_c8) = sk_c11
| inverse(sk_c11) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f63,plain,
( inverse(sk_c5) = sk_c8
| inverse(sk_c11) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f64,plain,
( multiply(sk_c8,sk_c10) = sk_c11
| inverse(sk_c11) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f65,plain,
( inverse(sk_c7) = sk_c6
| inverse(sk_c11) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f66,plain,
( inverse(sk_c6) = sk_c8
| inverse(sk_c11) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f67,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c11) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f68,plain,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c10,sk_c9) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f69,plain,
( inverse(sk_c3) = sk_c11
| multiply(sk_c10,sk_c9) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f70,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c10,sk_c9) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f71,plain,
( inverse(sk_c4) = sk_c10
| multiply(sk_c10,sk_c9) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f72,plain,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c10,sk_c9) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f73,plain,
( inverse(sk_c5) = sk_c8
| multiply(sk_c10,sk_c9) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f75,plain,
( inverse(sk_c7) = sk_c6
| multiply(sk_c10,sk_c9) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f76,plain,
( inverse(sk_c6) = sk_c8
| multiply(sk_c10,sk_c9) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f78,plain,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c1,sk_c2) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f79,plain,
( inverse(sk_c3) = sk_c11
| multiply(sk_c1,sk_c2) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f80,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c1,sk_c2) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f81,plain,
( inverse(sk_c4) = sk_c10
| multiply(sk_c1,sk_c2) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f82,plain,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c1,sk_c2) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f83,plain,
( inverse(sk_c5) = sk_c8
| multiply(sk_c1,sk_c2) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f84,plain,
( multiply(sk_c8,sk_c10) = sk_c11
| multiply(sk_c1,sk_c2) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f85,plain,
( inverse(sk_c7) = sk_c6
| multiply(sk_c1,sk_c2) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f86,plain,
( inverse(sk_c6) = sk_c8
| multiply(sk_c1,sk_c2) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f87,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c1,sk_c2) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f88,plain,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c1) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f89,plain,
( inverse(sk_c3) = sk_c11
| inverse(sk_c1) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f90,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c1) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f91,plain,
( inverse(sk_c4) = sk_c10
| inverse(sk_c1) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f92,plain,
( multiply(sk_c5,sk_c8) = sk_c11
| inverse(sk_c1) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f93,plain,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f94,plain,
( multiply(sk_c8,sk_c10) = sk_c11
| inverse(sk_c1) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f95,plain,
( inverse(sk_c7) = sk_c6
| inverse(sk_c1) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f96,plain,
( inverse(sk_c6) = sk_c8
| inverse(sk_c1) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f97,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f98,plain,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c2,sk_c9) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f99,plain,
( inverse(sk_c3) = sk_c11
| multiply(sk_c2,sk_c9) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f100,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f101,plain,
( inverse(sk_c4) = sk_c10
| multiply(sk_c2,sk_c9) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f102,plain,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c2,sk_c9) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f103,plain,
( inverse(sk_c5) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f104,plain,
( multiply(sk_c8,sk_c10) = sk_c11
| multiply(sk_c2,sk_c9) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f105,plain,
( inverse(sk_c7) = sk_c6
| multiply(sk_c2,sk_c9) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f106,plain,
( inverse(sk_c6) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f107,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c2,sk_c9) = sk_c11 ),
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] :
( multiply(X4,sk_c9) != sk_c11
| ! [X3] :
( inverse(X3) != X4
| multiply(X3,X4) != sk_c11
| multiply(sk_c10,sk_c9) != sk_c11
| inverse(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
| multiply(X1,sk_c9) != sk_c11
| inverse(X0) != X1
| multiply(X0,X1) != sk_c11
| multiply(sk_c10,sk_c9) != sk_c11
| inverse(sk_c11) != sk_c10 ),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f110,definition,
( sQ0_spl
<=> inverse(sk_c11) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f111,plain,
( ~ sQ0_spl
| inverse(sk_c11) = sk_c10 ),
inference(component_clause,[status(thm)],[f110]) ).
fof(f112,plain,
( sQ0_spl
| inverse(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(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
<=> multiply(sk_c10,sk_c9) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f154,plain,
( ~ sQ11_spl
| multiply(sk_c10,sk_c9) = sk_c11 ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f155,plain,
( sQ11_spl
| multiply(sk_c10,sk_c9) != 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(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(f166,definition,
( sQ12_spl
<=> multiply(sk_c1,sk_c2) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f167,plain,
( ~ sQ12_spl
| multiply(sk_c1,sk_c2) = 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
<=> inverse(sk_c1) = sk_c2 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f180,plain,
( ~ sQ13_spl
| inverse(sk_c1) = sk_c2 ),
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
<=> multiply(sk_c2,sk_c9) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f193,plain,
( ~ sQ14_spl
| multiply(sk_c2,sk_c9) = sk_c11 ),
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,X1] :
( sQ15_spl
<=> ( multiply(X1,sk_c9) != sk_c11
| inverse(X0) != X1
| multiply(X0,X1) != sk_c11 ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f206,plain,
! [X0,X1] :
( ~ sQ15_spl
| multiply(X1,sk_c9) != sk_c11
| inverse(X0) != X1
| multiply(X0,X1) != sk_c11 ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f208,definition,
! [X2] :
( sQ16_spl
<=> ( inverse(X2) != sk_c11
| multiply(X2,sk_c11) != sk_c10 ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f209,plain,
! [X0] :
( ~ sQ16_spl
| inverse(X0) != sk_c11
| multiply(X0,sk_c11) != sk_c10 ),
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
| sQ15_spl
| ~ sQ11_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f109,f110,f153,f205,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(f220,plain,
! [X0] :
( ~ sQ14_spl
| multiply(sk_c11,X0) = multiply(sk_c2,multiply(sk_c9,X0)) ),
inference(paramodulation,[status(thm)],[f193,f57]) ).
fof(f223,plain,
! [X0] :
( ~ sQ12_spl
| multiply(sk_c11,X0) = multiply(sk_c1,multiply(sk_c2,X0)) ),
inference(paramodulation,[status(thm)],[f167,f57]) ).
fof(f226,plain,
( ~ sQ6_spl
| multiply(sk_c8,sk_c5) = identity ),
inference(paramodulation,[status(thm)],[f134,f56]) ).
fof(f227,plain,
( ~ sQ8_spl
| multiply(sk_c6,sk_c7) = identity ),
inference(paramodulation,[status(thm)],[f142,f56]) ).
fof(f228,plain,
( ~ sQ9_spl
| multiply(sk_c8,sk_c6) = identity ),
inference(paramodulation,[status(thm)],[f146,f56]) ).
fof(f229,plain,
( ~ sQ13_spl
| multiply(sk_c2,sk_c1) = identity ),
inference(paramodulation,[status(thm)],[f180,f56]) ).
fof(f230,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f56,f57]) ).
fof(f231,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f55,f230]) ).
fof(f233,plain,
! [X0] :
( ~ sQ7_spl
| multiply(sk_c11,X0) = multiply(sk_c8,multiply(sk_c10,X0)) ),
inference(paramodulation,[status(thm)],[f138,f57]) ).
fof(f234,plain,
( ~ sQ2_spl
| multiply(sk_c11,sk_c3) = identity ),
inference(paramodulation,[status(thm)],[f118,f56]) ).
fof(f235,plain,
( ~ sQ0_spl
| multiply(sk_c10,sk_c11) = identity ),
inference(paramodulation,[status(thm)],[f111,f56]) ).
fof(f236,plain,
! [X0] :
( ~ sQ5_spl
| multiply(sk_c11,X0) = multiply(sk_c5,multiply(sk_c8,X0)) ),
inference(paramodulation,[status(thm)],[f130,f57]) ).
fof(f238,plain,
! [X0] :
( ~ sQ1_spl
| multiply(sk_c10,X0) = multiply(sk_c3,multiply(sk_c11,X0)) ),
inference(paramodulation,[status(thm)],[f114,f57]) ).
fof(f239,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(f240,plain,
! [X0] :
( ~ sQ18_spl
| multiply(X0,inverse(identity)) != inverse(X0)
| inverse(inverse(X0)) != inverse(identity)
| multiply(inverse(identity),sk_c10) != sk_c11
| inverse(identity) != sk_c11 ),
inference(paramodulation,[status(thm)],[f55,f218]) ).
fof(f242,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ18_spl
| multiply(X0,inverse(sk_c11)) != inverse(X0)
| inverse(inverse(X0)) != inverse(sk_c11)
| multiply(inverse(sk_c11),sk_c10) != sk_c11
| multiply(sk_c11,sk_c10) != sk_c11 ),
inference(paramodulation,[status(thm)],[f111,f218]) ).
fof(f243,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ18_spl
| multiply(X0,inverse(sk_c3)) != inverse(X0)
| inverse(inverse(X0)) != inverse(sk_c3)
| multiply(inverse(sk_c3),sk_c10) != sk_c11
| multiply(sk_c3,sk_c11) != sk_c11 ),
inference(paramodulation,[status(thm)],[f118,f218]) ).
fof(f248,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ18_spl
| multiply(X0,inverse(sk_c1)) != inverse(X0)
| inverse(inverse(X0)) != inverse(sk_c1)
| multiply(inverse(sk_c1),sk_c10) != sk_c11
| multiply(sk_c1,sk_c2) != sk_c11 ),
inference(paramodulation,[status(thm)],[f180,f218]) ).
fof(f249,definition,
( sQ19_spl
<=> multiply(identity,inverse(identity)) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f251,plain,
( sQ19_spl
| multiply(identity,inverse(identity)) != sk_c11 ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,definition,
( sQ20_spl
<=> multiply(inverse(identity),sk_c10) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f254,plain,
( sQ20_spl
| multiply(inverse(identity),sk_c10) != sk_c11 ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,definition,
( sQ21_spl
<=> inverse(inverse(identity)) = inverse(identity) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f257,plain,
( sQ21_spl
| inverse(inverse(identity)) != inverse(identity) ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,plain,
( ~ sQ18_spl
| ~ sQ21_spl
| ~ sQ20_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f239,f249,f252,f255,f214]) ).
fof(f259,definition,
( sQ22_spl
<=> inverse(identity) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f261,plain,
( sQ22_spl
| inverse(identity) != sk_c11 ),
inference(component_clause,[status(thm)],[f259]) ).
fof(f262,definition,
! [X0] :
( sQ23_spl
<=> ( multiply(X0,inverse(identity)) != inverse(X0)
| inverse(inverse(X0)) != inverse(identity) ) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f263,plain,
! [X0] :
( ~ sQ23_spl
| multiply(X0,inverse(identity)) != inverse(X0)
| inverse(inverse(X0)) != inverse(identity) ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f265,plain,
( ~ sQ18_spl
| sQ23_spl
| ~ sQ20_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f240,f259,f252,f262,f214]) ).
fof(f266,definition,
( sQ24_spl
<=> multiply(sk_c11,sk_c10) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f268,plain,
( sQ24_spl
| multiply(sk_c11,sk_c10) != sk_c11 ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f269,definition,
( sQ25_spl
<=> multiply(inverse(sk_c11),sk_c10) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f271,plain,
( sQ25_spl
| multiply(inverse(sk_c11),sk_c10) != sk_c11 ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f272,definition,
! [X0] :
( sQ26_spl
<=> ( multiply(X0,inverse(sk_c11)) != inverse(X0)
| inverse(inverse(X0)) != inverse(sk_c11) ) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f273,plain,
! [X0] :
( ~ sQ26_spl
| multiply(X0,inverse(sk_c11)) != inverse(X0)
| inverse(inverse(X0)) != inverse(sk_c11) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,plain,
( ~ sQ0_spl
| ~ sQ18_spl
| sQ26_spl
| ~ sQ25_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f242,f266,f269,f272,f214,f110]) ).
fof(f276,definition,
( sQ27_spl
<=> multiply(sk_c3,sk_c11) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f277,plain,
( ~ sQ27_spl
| multiply(sk_c3,sk_c11) = sk_c11 ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f278,plain,
( sQ27_spl
| multiply(sk_c3,sk_c11) != sk_c11 ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,definition,
( sQ28_spl
<=> multiply(inverse(sk_c3),sk_c10) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f281,plain,
( sQ28_spl
| multiply(inverse(sk_c3),sk_c10) != sk_c11 ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f282,definition,
! [X0] :
( sQ29_spl
<=> ( multiply(X0,inverse(sk_c3)) != inverse(X0)
| inverse(inverse(X0)) != inverse(sk_c3) ) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f285,plain,
( ~ sQ2_spl
| ~ sQ18_spl
| sQ29_spl
| ~ sQ28_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f243,f276,f279,f282,f214,f117]) ).
fof(f286,definition,
( sQ30_spl
<=> multiply(sk_c4,sk_c10) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f288,plain,
( sQ30_spl
| multiply(sk_c4,sk_c10) != sk_c11 ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f323,definition,
( sQ41_spl
<=> multiply(inverse(sk_c1),sk_c10) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f325,plain,
( sQ41_spl
| multiply(inverse(sk_c1),sk_c10) != sk_c11 ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f326,definition,
! [X0] :
( sQ42_spl
<=> ( multiply(X0,inverse(sk_c1)) != inverse(X0)
| inverse(inverse(X0)) != inverse(sk_c1) ) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f327,plain,
! [X0] :
( ~ sQ42_spl
| multiply(X0,inverse(sk_c1)) != inverse(X0)
| inverse(inverse(X0)) != inverse(sk_c1) ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f329,plain,
( ~ sQ13_spl
| ~ sQ18_spl
| sQ42_spl
| ~ sQ41_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f248,f166,f323,f326,f214,f179]) ).
fof(f332,plain,
( sQ41_spl
| ~ sQ13_spl
| multiply(sk_c2,sk_c10) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f180,f325]) ).
fof(f334,plain,
( sQ27_spl
| ~ sQ1_spl
| sk_c10 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f114,f278]) ).
fof(f337,plain,
( sQ25_spl
| ~ sQ0_spl
| multiply(sk_c10,sk_c10) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f111,f271]) ).
fof(f338,plain,
( sQ19_spl
| inverse(identity) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f55,f251]) ).
fof(f339,plain,
! [X0] :
( ~ sQ11_spl
| multiply(sk_c11,X0) = multiply(sk_c10,multiply(sk_c9,X0)) ),
inference(paramodulation,[status(thm)],[f154,f57]) ).
fof(f341,plain,
( ~ sQ3_spl
| ~ sQ17_spl
| inverse(sk_c4) != sk_c10
| sk_c9 != sk_c9 ),
inference(paramodulation,[status(thm)],[f122,f212]) ).
fof(f343,plain,
( ~ sQ17_spl
| inverse(inverse(sk_c10)) != sk_c10
| identity != sk_c9 ),
inference(paramodulation,[status(thm)],[f56,f212]) ).
fof(f344,plain,
( ~ sQ17_spl
| inverse(identity) != sk_c10
| sk_c10 != sk_c9 ),
inference(paramodulation,[status(thm)],[f55,f212]) ).
fof(f346,definition,
( sQ43_spl
<=> sk_c9 = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f348,plain,
( sQ43_spl
| sk_c9 != sk_c9 ),
inference(component_clause,[status(thm)],[f346]) ).
fof(f349,plain,
( ~ sQ3_spl
| ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f341,f346,f125,f211,f121]) ).
fof(f350,definition,
( sQ44_spl
<=> sk_c11 = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f352,plain,
( sQ44_spl
| sk_c11 != sk_c9 ),
inference(component_clause,[status(thm)],[f350]) ).
fof(f357,definition,
( sQ46_spl
<=> identity = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f360,definition,
( sQ47_spl
<=> inverse(inverse(sk_c10)) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f362,plain,
( sQ47_spl
| inverse(inverse(sk_c10)) != sk_c10 ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f363,plain,
( ~ sQ17_spl
| ~ sQ47_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f343,f357,f360,f211]) ).
fof(f364,definition,
( sQ48_spl
<=> sk_c10 = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f366,plain,
( sQ48_spl
| sk_c10 != sk_c9 ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f367,definition,
( sQ49_spl
<=> inverse(identity) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f369,plain,
( sQ49_spl
| inverse(identity) != sk_c10 ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f370,plain,
( ~ sQ17_spl
| ~ sQ49_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f344,f364,f367,f211]) ).
fof(f371,plain,
( sQ43_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f348]) ).
fof(f372,plain,
sQ43_spl,
inference(contradiction_clause,[status(thm)],[f371]) ).
fof(f373,plain,
! [X0] :
( ~ sQ15_spl
| multiply(inverse(X0),sk_c9) != sk_c11
| multiply(X0,inverse(X0)) != sk_c11 ),
inference(destructive_equality_resolution,[status(thm)],[f206]) ).
fof(f376,plain,
( ~ sQ1_spl
| ~ sQ16_spl
| inverse(sk_c3) != sk_c11
| sk_c10 != sk_c10 ),
inference(paramodulation,[status(thm)],[f114,f209]) ).
fof(f377,plain,
( ~ sQ16_spl
| inverse(inverse(sk_c11)) != sk_c11
| identity != sk_c10 ),
inference(paramodulation,[status(thm)],[f56,f209]) ).
fof(f378,plain,
( ~ sQ16_spl
| inverse(identity) != sk_c11
| sk_c11 != sk_c10 ),
inference(paramodulation,[status(thm)],[f55,f209]) ).
fof(f380,definition,
( sQ50_spl
<=> sk_c10 = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f382,plain,
( sQ50_spl
| sk_c10 != sk_c10 ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,plain,
( ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ2_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f376,f380,f117,f208,f113]) ).
fof(f384,definition,
( sQ51_spl
<=> identity = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f387,definition,
( sQ52_spl
<=> inverse(inverse(sk_c11)) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f389,plain,
( sQ52_spl
| inverse(inverse(sk_c11)) != sk_c11 ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f390,plain,
( ~ sQ16_spl
| ~ sQ52_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f377,f384,f387,f208]) ).
fof(f391,definition,
( sQ53_spl
<=> sk_c11 = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f393,plain,
( sQ53_spl
| sk_c11 != sk_c10 ),
inference(component_clause,[status(thm)],[f391]) ).
fof(f394,plain,
( ~ sQ16_spl
| ~ sQ22_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f378,f391,f259,f208]) ).
fof(f396,plain,
( sQ50_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f382]) ).
fof(f397,plain,
sQ50_spl,
inference(contradiction_clause,[status(thm)],[f396]) ).
fof(f400,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| multiply(inverse(sk_c11),sk_c9) != sk_c11
| multiply(sk_c11,sk_c10) != sk_c11 ),
inference(paramodulation,[status(thm)],[f111,f373]) ).
fof(f402,definition,
( sQ54_spl
<=> multiply(inverse(identity),sk_c9) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f404,plain,
( sQ54_spl
| multiply(inverse(identity),sk_c9) != sk_c11 ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f406,definition,
( sQ55_spl
<=> multiply(inverse(sk_c11),sk_c9) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f408,plain,
( sQ55_spl
| multiply(inverse(sk_c11),sk_c9) != sk_c11 ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f409,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| ~ sQ55_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f400,f266,f406,f205,f110]) ).
fof(f452,plain,
! [X0] :
( ~ sQ8_spl
| multiply(identity,X0) = multiply(sk_c6,multiply(sk_c7,X0)) ),
inference(paramodulation,[status(thm)],[f227,f57]) ).
fof(f453,plain,
! [X0] :
( ~ sQ8_spl
| X0 = multiply(sk_c6,multiply(sk_c7,X0)) ),
inference(forward_demodulation,[status(thm)],[f55,f452]) ).
fof(f466,plain,
( ~ sQ23_spl
| identity != inverse(inverse(inverse(identity)))
| inverse(inverse(inverse(inverse(identity)))) != inverse(identity) ),
inference(paramodulation,[status(thm)],[f56,f263]) ).
fof(f467,plain,
( ~ sQ23_spl
| inverse(identity) != inverse(identity)
| inverse(inverse(identity)) != inverse(identity) ),
inference(paramodulation,[status(thm)],[f55,f263]) ).
fof(f469,definition,
( sQ57_spl
<=> inverse(inverse(inverse(inverse(identity)))) = inverse(identity) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f472,definition,
( sQ58_spl
<=> identity = inverse(inverse(inverse(identity))) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f474,plain,
( sQ58_spl
| identity != inverse(inverse(inverse(identity))) ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f475,plain,
( ~ sQ23_spl
| ~ sQ58_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f466,f469,f472,f262]) ).
fof(f476,definition,
( sQ59_spl
<=> inverse(identity) = inverse(identity) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f478,plain,
( sQ59_spl
| inverse(identity) != inverse(identity) ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,plain,
( ~ sQ23_spl
| ~ sQ59_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f467,f255,f476,f262]) ).
fof(f480,plain,
( sQ59_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f478]) ).
fof(f481,plain,
sQ59_spl,
inference(contradiction_clause,[status(thm)],[f480]) ).
fof(f486,plain,
( ~ sQ42_spl
| inverse(sk_c1) != inverse(identity)
| inverse(inverse(identity)) != inverse(sk_c1) ),
inference(paramodulation,[status(thm)],[f55,f327]) ).
fof(f495,definition,
( sQ62_spl
<=> inverse(inverse(identity)) = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f497,plain,
( sQ62_spl
| inverse(inverse(identity)) != inverse(sk_c1) ),
inference(component_clause,[status(thm)],[f495]) ).
fof(f498,definition,
( sQ63_spl
<=> inverse(sk_c1) = inverse(identity) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f500,plain,
( sQ63_spl
| inverse(sk_c1) != inverse(identity) ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f501,plain,
( ~ sQ42_spl
| ~ sQ63_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f486,f495,f498,f326]) ).
fof(f508,plain,
( ~ sQ26_spl
| identity != inverse(inverse(inverse(sk_c11)))
| inverse(inverse(inverse(inverse(sk_c11)))) != inverse(sk_c11) ),
inference(paramodulation,[status(thm)],[f56,f273]) ).
fof(f509,plain,
( ~ sQ26_spl
| inverse(sk_c11) != inverse(identity)
| inverse(inverse(identity)) != inverse(sk_c11) ),
inference(paramodulation,[status(thm)],[f55,f273]) ).
fof(f511,definition,
( sQ64_spl
<=> inverse(inverse(inverse(inverse(sk_c11)))) = inverse(sk_c11) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f513,plain,
( sQ64_spl
| inverse(inverse(inverse(inverse(sk_c11)))) != inverse(sk_c11) ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f514,definition,
( sQ65_spl
<=> identity = inverse(inverse(inverse(sk_c11))) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f516,plain,
( sQ65_spl
| identity != inverse(inverse(inverse(sk_c11))) ),
inference(component_clause,[status(thm)],[f514]) ).
fof(f517,plain,
( ~ sQ26_spl
| ~ sQ65_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f508,f511,f514,f272]) ).
fof(f518,definition,
( sQ66_spl
<=> inverse(inverse(identity)) = inverse(sk_c11) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f520,plain,
( sQ66_spl
| inverse(inverse(identity)) != inverse(sk_c11) ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f521,definition,
( sQ67_spl
<=> inverse(sk_c11) = inverse(identity) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f523,plain,
( sQ67_spl
| inverse(sk_c11) != inverse(identity) ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f524,plain,
( ~ sQ26_spl
| ~ sQ67_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f509,f518,f521,f272]) ).
fof(f535,plain,
( ~ sQ2_spl
| sk_c3 = multiply(inverse(sk_c11),identity) ),
inference(paramodulation,[status(thm)],[f234,f231]) ).
fof(f536,plain,
( ~ sQ8_spl
| sk_c7 = multiply(inverse(sk_c6),identity) ),
inference(paramodulation,[status(thm)],[f227,f231]) ).
fof(f537,plain,
( ~ sQ9_spl
| sk_c6 = multiply(inverse(sk_c8),identity) ),
inference(paramodulation,[status(thm)],[f228,f231]) ).
fof(f538,plain,
( ~ sQ6_spl
| sk_c5 = multiply(inverse(sk_c8),identity) ),
inference(paramodulation,[status(thm)],[f226,f231]) ).
fof(f539,plain,
( ~ sQ7_spl
| sk_c10 = multiply(inverse(sk_c8),sk_c11) ),
inference(paramodulation,[status(thm)],[f138,f231]) ).
fof(f541,plain,
( ~ sQ3_spl
| sk_c10 = multiply(inverse(sk_c4),sk_c9) ),
inference(paramodulation,[status(thm)],[f122,f231]) ).
fof(f543,plain,
! [X0] :
( ~ sQ11_spl
| multiply(sk_c9,X0) = multiply(inverse(sk_c10),multiply(sk_c11,X0)) ),
inference(paramodulation,[status(thm)],[f339,f231]) ).
fof(f544,plain,
( ~ sQ11_spl
| sk_c9 = multiply(inverse(sk_c10),sk_c11) ),
inference(paramodulation,[status(thm)],[f154,f231]) ).
fof(f546,plain,
( ~ sQ1_spl
| sk_c11 = multiply(inverse(sk_c3),sk_c10) ),
inference(paramodulation,[status(thm)],[f114,f231]) ).
fof(f549,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(paramodulation,[status(thm)],[f231,f231]) ).
fof(f550,plain,
! [X0] : X0 = multiply(inverse(inverse(X0)),identity),
inference(paramodulation,[status(thm)],[f56,f231]) ).
fof(f551,plain,
! [X0] : X0 = multiply(inverse(identity),X0),
inference(paramodulation,[status(thm)],[f55,f231]) ).
fof(f553,plain,
! [X0] :
( ~ sQ14_spl
| multiply(sk_c9,X0) = multiply(inverse(sk_c2),multiply(sk_c11,X0)) ),
inference(paramodulation,[status(thm)],[f220,f231]) ).
fof(f556,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| sk_c7 = multiply(sk_c8,identity) ),
inference(forward_demodulation,[status(thm)],[f146,f536]) ).
fof(f559,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ9_spl
| multiply(sk_c6,sk_c8) = sk_c11 ),
inference(backward_demodulation,[status(thm)],[f563,f130]) ).
fof(f562,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ9_spl
| multiply(sk_c11,X0) = multiply(sk_c6,multiply(sk_c8,X0)) ),
inference(backward_demodulation,[status(thm)],[f563,f236]) ).
fof(f563,plain,
( ~ sQ6_spl
| ~ sQ9_spl
| sk_c5 = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f537,f538]) ).
fof(f565,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| sk_c10 = multiply(sk_c10,sk_c9) ),
inference(forward_demodulation,[status(thm)],[f126,f541]) ).
fof(f566,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ11_spl
| sk_c10 = sk_c11 ),
inference(forward_demodulation,[status(thm)],[f154,f565]) ).
fof(f567,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ11_spl
| sQ27_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f566,f334]) ).
fof(f568,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ11_spl
| sQ27_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f567]) ).
fof(f570,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| sk_c11 = multiply(sk_c11,sk_c10) ),
inference(forward_demodulation,[status(thm)],[f118,f546]) ).
fof(f571,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f570,f268]) ).
fof(f572,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f571]) ).
fof(f576,plain,
( ~ sQ9_spl
| sk_c6 = inverse(sk_c8) ),
inference(backward_demodulation,[status(thm)],[f580,f537]) ).
fof(f577,plain,
( ~ sQ2_spl
| sk_c3 = inverse(sk_c11) ),
inference(backward_demodulation,[status(thm)],[f580,f535]) ).
fof(f579,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| sk_c7 = sk_c8 ),
inference(backward_demodulation,[status(thm)],[f580,f556]) ).
fof(f580,plain,
! [X0] : X0 = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f549,f550]) ).
fof(f581,plain,
( sQ20_spl
| sk_c10 != sk_c11 ),
inference(backward_demodulation,[status(thm)],[f551,f254]) ).
fof(f583,plain,
( sQ11_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c10 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f565,f155]) ).
fof(f584,plain,
( ~ sQ7_spl
| ~ sQ9_spl
| sk_c10 = multiply(sk_c6,sk_c11) ),
inference(backward_demodulation,[status(thm)],[f576,f539]) ).
fof(f586,plain,
( sQ64_spl
| ~ sQ2_spl
| inverse(inverse(inverse(inverse(sk_c11)))) != sk_c3 ),
inference(backward_demodulation,[status(thm)],[f577,f513]) ).
fof(f587,plain,
( sQ65_spl
| ~ sQ2_spl
| identity != inverse(inverse(sk_c3)) ),
inference(backward_demodulation,[status(thm)],[f577,f516]) ).
fof(f588,plain,
( sQ66_spl
| ~ sQ2_spl
| inverse(inverse(identity)) != sk_c3 ),
inference(backward_demodulation,[status(thm)],[f577,f520]) ).
fof(f589,plain,
( sQ67_spl
| ~ sQ2_spl
| sk_c3 != inverse(identity) ),
inference(backward_demodulation,[status(thm)],[f577,f523]) ).
fof(f591,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| multiply(sk_c6,sk_c8) = identity ),
inference(backward_demodulation,[status(thm)],[f579,f227]) ).
fof(f593,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| multiply(sk_c8,sk_c8) = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f579,f150]) ).
fof(f595,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ9_spl
| X0 = multiply(sk_c6,multiply(sk_c8,X0)) ),
inference(backward_demodulation,[status(thm)],[f579,f453]) ).
fof(f596,plain,
( sQ64_spl
| ~ sQ2_spl
| inverse(inverse(inverse(sk_c3))) != sk_c3 ),
inference(forward_demodulation,[status(thm)],[f577,f586]) ).
fof(f597,plain,
( sQ64_spl
| ~ sQ2_spl
| inverse(inverse(sk_c11)) != sk_c3 ),
inference(forward_demodulation,[status(thm)],[f118,f596]) ).
fof(f598,plain,
( sQ64_spl
| ~ sQ2_spl
| inverse(sk_c3) != sk_c3 ),
inference(forward_demodulation,[status(thm)],[f577,f597]) ).
fof(f599,plain,
( sQ64_spl
| ~ sQ2_spl
| sk_c11 != sk_c3 ),
inference(forward_demodulation,[status(thm)],[f118,f598]) ).
fof(f600,plain,
( sQ65_spl
| ~ sQ2_spl
| identity != inverse(sk_c11) ),
inference(forward_demodulation,[status(thm)],[f118,f587]) ).
fof(f601,plain,
( sQ65_spl
| ~ sQ2_spl
| identity != sk_c3 ),
inference(forward_demodulation,[status(thm)],[f577,f600]) ).
fof(f605,plain,
( sQ21_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| inverse(inverse(identity)) != inverse(sk_c11) ),
inference(backward_demodulation,[status(thm)],[f619,f257]) ).
fof(f606,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| inverse(sk_c11) != sk_c11 ),
inference(backward_demodulation,[status(thm)],[f619,f261]) ).
fof(f609,plain,
( sQ67_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c3 != inverse(sk_c11) ),
inference(backward_demodulation,[status(thm)],[f619,f589]) ).
fof(f610,plain,
( sQ66_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| inverse(inverse(sk_c11)) != sk_c3 ),
inference(backward_demodulation,[status(thm)],[f619,f588]) ).
fof(f611,plain,
( sQ65_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c11 != sk_c3 ),
inference(backward_demodulation,[status(thm)],[f619,f601]) ).
fof(f613,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| X0 = multiply(inverse(sk_c11),X0) ),
inference(backward_demodulation,[status(thm)],[f619,f551]) ).
fof(f614,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| X0 = multiply(X0,sk_c11) ),
inference(backward_demodulation,[status(thm)],[f619,f580]) ).
fof(f618,plain,
( sQ58_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| identity != inverse(inverse(inverse(sk_c11))) ),
inference(backward_demodulation,[status(thm)],[f619,f474]) ).
fof(f619,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c11 = identity ),
inference(forward_demodulation,[status(thm)],[f559,f591]) ).
fof(f621,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| multiply(sk_c10,X0) = multiply(sk_c3,X0) ),
inference(backward_demodulation,[status(thm)],[f629,f238]) ).
fof(f623,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c11 = sk_c10 ),
inference(backward_demodulation,[status(thm)],[f629,f570]) ).
fof(f628,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| X0 = multiply(sk_c8,multiply(sk_c10,X0)) ),
inference(backward_demodulation,[status(thm)],[f629,f233]) ).
fof(f629,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| X0 = multiply(sk_c11,X0) ),
inference(forward_demodulation,[status(thm)],[f562,f595]) ).
fof(f633,plain,
( sQ21_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| inverse(inverse(sk_c11)) != inverse(sk_c11) ),
inference(forward_demodulation,[status(thm)],[f619,f605]) ).
fof(f634,plain,
( sQ21_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ2_spl
| inverse(sk_c3) != inverse(sk_c11) ),
inference(forward_demodulation,[status(thm)],[f577,f633]) ).
fof(f635,plain,
( sQ21_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ2_spl
| sk_c11 != inverse(sk_c11) ),
inference(forward_demodulation,[status(thm)],[f118,f634]) ).
fof(f636,plain,
( sQ21_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ2_spl
| sk_c11 != sk_c3 ),
inference(forward_demodulation,[status(thm)],[f577,f635]) ).
fof(f637,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ2_spl
| sk_c3 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f577,f606]) ).
fof(f639,plain,
( sQ67_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c3 != sk_c3 ),
inference(forward_demodulation,[status(thm)],[f577,f609]) ).
fof(f640,plain,
( sQ67_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f639]) ).
fof(f641,plain,
( sQ67_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f640]) ).
fof(f642,plain,
( sQ66_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| inverse(sk_c3) != sk_c3 ),
inference(forward_demodulation,[status(thm)],[f577,f610]) ).
fof(f643,plain,
( sQ66_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c11 != sk_c3 ),
inference(forward_demodulation,[status(thm)],[f118,f642]) ).
fof(f650,plain,
( ~ sQ1_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ2_spl
| sk_c11 = sk_c10 ),
inference(backward_demodulation,[status(thm)],[f652,f114]) ).
fof(f652,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ2_spl
| X0 = multiply(sk_c3,X0) ),
inference(forward_demodulation,[status(thm)],[f577,f613]) ).
fof(f654,plain,
( ~ sQ7_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c10 = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f614,f584]) ).
fof(f659,plain,
( sQ58_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c11 != inverse(inverse(inverse(sk_c11))) ),
inference(forward_demodulation,[status(thm)],[f619,f618]) ).
fof(f660,plain,
( sQ58_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ2_spl
| sk_c11 != inverse(inverse(sk_c3)) ),
inference(forward_demodulation,[status(thm)],[f577,f659]) ).
fof(f661,plain,
( sQ58_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ2_spl
| sk_c11 != inverse(sk_c11) ),
inference(forward_demodulation,[status(thm)],[f118,f660]) ).
fof(f662,plain,
( sQ58_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ2_spl
| sk_c11 != sk_c3 ),
inference(forward_demodulation,[status(thm)],[f577,f661]) ).
fof(f663,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ2_spl
| sk_c10 = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f667,f565]) ).
fof(f667,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ2_spl
| multiply(sk_c10,X0) = X0 ),
inference(forward_demodulation,[status(thm)],[f652,f621]) ).
fof(f668,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sQ11_spl
| ~ sQ3_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f623,f583]) ).
fof(f669,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sQ11_spl
| ~ sQ3_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f668]) ).
fof(f672,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c8 = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f677,f593]) ).
fof(f677,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ1_spl
| ~ sQ2_spl
| X0 = multiply(sk_c8,X0) ),
inference(forward_demodulation,[status(thm)],[f667,f628]) ).
fof(f686,plain,
( ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ1_spl
| ~ sQ2_spl
| inverse(sk_c11) = sk_c8 ),
inference(backward_demodulation,[status(thm)],[f691,f146]) ).
fof(f687,plain,
( ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c11 = inverse(sk_c8) ),
inference(backward_demodulation,[status(thm)],[f691,f576]) ).
fof(f691,plain,
( ~ sQ7_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c11 = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f650,f654]) ).
fof(f695,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ2_spl
| sk_c11 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f650,f663]) ).
fof(f710,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ2_spl
| sk_c11 = multiply(inverse(sk_c10),sk_c11) ),
inference(forward_demodulation,[status(thm)],[f695,f544]) ).
fof(f711,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ2_spl
| sk_c11 = inverse(sk_c10) ),
inference(forward_demodulation,[status(thm)],[f614,f710]) ).
fof(f712,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ2_spl
| sk_c11 = inverse(sk_c11) ),
inference(forward_demodulation,[status(thm)],[f650,f711]) ).
fof(f713,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ2_spl
| sk_c11 = sk_c3 ),
inference(forward_demodulation,[status(thm)],[f577,f712]) ).
fof(f714,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ2_spl
| sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f713,f599]) ).
fof(f715,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ2_spl
| sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f714]) ).
fof(f716,plain,
( sQ0_spl
| ~ sQ2_spl
| sk_c3 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f577,f112]) ).
fof(f717,plain,
( sQ0_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c3 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f650,f716]) ).
fof(f720,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c8 = sk_c11 ),
inference(forward_demodulation,[status(thm)],[f691,f672]) ).
fof(f734,plain,
( ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c3 = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f577,f686]) ).
fof(f735,plain,
( ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| sk_c3 = sk_c11 ),
inference(forward_demodulation,[status(thm)],[f720,f734]) ).
fof(f736,plain,
( ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f735,f717]) ).
fof(f737,plain,
( ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f736]) ).
fof(f738,plain,
( ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| sk_c11 = inverse(sk_c11) ),
inference(forward_demodulation,[status(thm)],[f720,f687]) ).
fof(f744,plain,
( ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| sk_c11 = sk_c3 ),
inference(forward_demodulation,[status(thm)],[f577,f738]) ).
fof(f757,plain,
( sQ58_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ1_spl
| ~ sQ10_spl
| sk_c11 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f744,f662]) ).
fof(f758,plain,
( sQ58_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ1_spl
| ~ sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f757]) ).
fof(f759,plain,
( sQ58_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ1_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f758]) ).
fof(f760,plain,
( sQ65_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ1_spl
| ~ sQ10_spl
| sk_c11 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f744,f611]) ).
fof(f761,plain,
( sQ65_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ1_spl
| ~ sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f760]) ).
fof(f762,plain,
( sQ65_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ1_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f761]) ).
fof(f763,plain,
( sQ66_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ1_spl
| ~ sQ10_spl
| sk_c11 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f744,f643]) ).
fof(f764,plain,
( sQ66_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ1_spl
| ~ sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f763]) ).
fof(f765,plain,
( sQ66_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ1_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f764]) ).
fof(f766,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ1_spl
| ~ sQ10_spl
| sk_c11 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f744,f637]) ).
fof(f767,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ1_spl
| ~ sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f766]) ).
fof(f768,plain,
( sQ22_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ1_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f767]) ).
fof(f769,plain,
( sQ21_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ1_spl
| ~ sQ10_spl
| sk_c11 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f744,f636]) ).
fof(f770,plain,
( sQ21_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ1_spl
| ~ sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f769]) ).
fof(f771,plain,
( sQ21_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ1_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f770]) ).
fof(f773,plain,
( sQ52_spl
| ~ sQ0_spl
| inverse(sk_c10) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f111,f389]) ).
fof(f774,plain,
( sQ55_spl
| ~ sQ0_spl
| multiply(sk_c10,sk_c9) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f111,f408]) ).
fof(f775,plain,
( sQ55_spl
| ~ sQ0_spl
| ~ sQ11_spl
| sk_c11 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f154,f774]) ).
fof(f776,plain,
( sQ55_spl
| ~ sQ0_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f775]) ).
fof(f777,plain,
( sQ55_spl
| ~ sQ0_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f776]) ).
fof(f780,plain,
( sQ54_spl
| sk_c9 != sk_c11 ),
inference(backward_demodulation,[status(thm)],[f551,f404]) ).
fof(f782,plain,
( sQ62_spl
| ~ sQ13_spl
| inverse(inverse(identity)) != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f180,f497]) ).
fof(f783,plain,
( sQ63_spl
| ~ sQ13_spl
| sk_c2 != inverse(identity) ),
inference(forward_demodulation,[status(thm)],[f180,f500]) ).
fof(f796,plain,
( ~ sQ0_spl
| sk_c11 = multiply(inverse(sk_c10),identity) ),
inference(paramodulation,[status(thm)],[f235,f231]) ).
fof(f798,plain,
( ~ sQ0_spl
| sk_c11 = inverse(sk_c10) ),
inference(forward_demodulation,[status(thm)],[f580,f796]) ).
fof(f799,plain,
( ~ sQ0_spl
| sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f798,f773]) ).
fof(f800,plain,
( ~ sQ0_spl
| sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f799]) ).
fof(f802,plain,
( sQ30_spl
| ~ sQ3_spl
| sk_c9 != sk_c11 ),
inference(backward_demodulation,[status(thm)],[f122,f288]) ).
fof(f803,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ0_spl
| multiply(sk_c9,X0) = multiply(sk_c11,multiply(sk_c11,X0)) ),
inference(backward_demodulation,[status(thm)],[f798,f543]) ).
fof(f804,plain,
( ~ sQ11_spl
| ~ sQ0_spl
| sk_c9 = multiply(sk_c11,sk_c11) ),
inference(backward_demodulation,[status(thm)],[f798,f544]) ).
fof(f805,plain,
( sQ47_spl
| ~ sQ0_spl
| inverse(sk_c11) != sk_c10 ),
inference(backward_demodulation,[status(thm)],[f798,f362]) ).
fof(f807,plain,
( sQ47_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f805,f110,f360]) ).
fof(f814,plain,
( ~ sQ1_spl
| sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f546,f281]) ).
fof(f815,plain,
( ~ sQ1_spl
| sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f814]) ).
fof(f818,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ18_spl
| multiply(X0,inverse(sk_c10)) != inverse(X0)
| inverse(inverse(X0)) != inverse(sk_c10)
| multiply(inverse(sk_c10),sk_c10) != sk_c11
| multiply(sk_c10,sk_c11) != sk_c11 ),
inference(paramodulation,[status(thm)],[f798,f218]) ).
fof(f819,plain,
! [X0] :
( ~ sQ0_spl
| X0 = multiply(sk_c11,multiply(sk_c10,X0)) ),
inference(paramodulation,[status(thm)],[f798,f231]) ).
fof(f820,definition,
( sQ68_spl
<=> multiply(sk_c10,sk_c11) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f822,plain,
( sQ68_spl
| multiply(sk_c10,sk_c11) != sk_c11 ),
inference(component_clause,[status(thm)],[f820]) ).
fof(f823,definition,
( sQ69_spl
<=> multiply(inverse(sk_c10),sk_c10) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f825,plain,
( sQ69_spl
| multiply(inverse(sk_c10),sk_c10) != sk_c11 ),
inference(component_clause,[status(thm)],[f823]) ).
fof(f826,definition,
! [X0] :
( sQ70_spl
<=> ( multiply(X0,inverse(sk_c10)) != inverse(X0)
| inverse(inverse(X0)) != inverse(sk_c10) ) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f829,plain,
( ~ sQ0_spl
| ~ sQ18_spl
| sQ70_spl
| ~ sQ69_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f818,f820,f823,f826,f214,f110]) ).
fof(f832,plain,
( sQ69_spl
| identity != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f56,f825]) ).
fof(f833,plain,
( sQ68_spl
| ~ sQ0_spl
| identity != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f235,f822]) ).
fof(f834,plain,
( ~ sQ27_spl
| ~ sQ1_spl
| sk_c10 = sk_c11 ),
inference(forward_demodulation,[status(thm)],[f114,f277]) ).
fof(f835,plain,
( ~ sQ27_spl
| ~ sQ1_spl
| sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f834,f393]) ).
fof(f836,plain,
( ~ sQ27_spl
| ~ sQ1_spl
| sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f835]) ).
fof(f838,plain,
( ~ sQ13_spl
| sk_c1 = multiply(inverse(sk_c2),identity) ),
inference(paramodulation,[status(thm)],[f229,f231]) ).
fof(f841,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ13_spl
| multiply(sk_c9,X0) = multiply(sk_c1,multiply(sk_c11,X0)) ),
inference(backward_demodulation,[status(thm)],[f844,f553]) ).
fof(f844,plain,
( ~ sQ13_spl
| sk_c1 = inverse(sk_c2) ),
inference(forward_demodulation,[status(thm)],[f580,f838]) ).
fof(f850,plain,
! [X0] :
( ~ sQ13_spl
| X0 = multiply(sk_c1,multiply(sk_c2,X0)) ),
inference(paramodulation,[status(thm)],[f844,f231]) ).
fof(f861,plain,
( ~ sQ11_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ12_spl
| sk_c9 = sk_c11 ),
inference(backward_demodulation,[status(thm)],[f872,f804]) ).
fof(f862,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ12_spl
| X0 = multiply(sk_c10,X0) ),
inference(backward_demodulation,[status(thm)],[f872,f819]) ).
fof(f863,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ12_spl
| multiply(sk_c9,X0) = multiply(sk_c11,X0) ),
inference(backward_demodulation,[status(thm)],[f872,f803]) ).
fof(f864,plain,
( sQ24_spl
| ~ sQ13_spl
| ~ sQ12_spl
| sk_c10 != sk_c11 ),
inference(backward_demodulation,[status(thm)],[f872,f268]) ).
fof(f865,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ12_spl
| multiply(sk_c9,X0) = multiply(sk_c1,X0) ),
inference(backward_demodulation,[status(thm)],[f872,f841]) ).
fof(f866,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ12_spl
| multiply(sk_c10,X0) = multiply(sk_c3,X0) ),
inference(backward_demodulation,[status(thm)],[f872,f238]) ).
fof(f869,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ12_spl
| X0 = multiply(sk_c2,multiply(sk_c9,X0)) ),
inference(backward_demodulation,[status(thm)],[f872,f220]) ).
fof(f872,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ12_spl
| X0 = multiply(sk_c11,X0) ),
inference(forward_demodulation,[status(thm)],[f223,f850]) ).
fof(f873,plain,
( ~ sQ11_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ12_spl
| sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f861,f352]) ).
fof(f874,plain,
( ~ sQ11_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ12_spl
| sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f873]) ).
fof(f875,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ12_spl
| sk_c11 = identity ),
inference(backward_demodulation,[status(thm)],[f862,f235]) ).
fof(f876,plain,
( sQ25_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ12_spl
| sk_c10 != sk_c11 ),
inference(backward_demodulation,[status(thm)],[f862,f337]) ).
fof(f878,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ12_spl
| multiply(sk_c9,X0) = X0 ),
inference(forward_demodulation,[status(thm)],[f872,f863]) ).
fof(f879,plain,
( ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ0_spl
| sk_c2 = sk_c11 ),
inference(backward_demodulation,[status(thm)],[f882,f167]) ).
fof(f882,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ0_spl
| X0 = multiply(sk_c1,X0) ),
inference(forward_demodulation,[status(thm)],[f878,f865]) ).
fof(f883,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ0_spl
| sk_c11 = sk_c10 ),
inference(backward_demodulation,[status(thm)],[f884,f114]) ).
fof(f884,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ0_spl
| X0 = multiply(sk_c3,X0) ),
inference(forward_demodulation,[status(thm)],[f862,f866]) ).
fof(f887,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ0_spl
| sk_c1 = identity ),
inference(backward_demodulation,[status(thm)],[f891,f229]) ).
fof(f888,plain,
( sQ41_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ0_spl
| sk_c10 != sk_c11 ),
inference(backward_demodulation,[status(thm)],[f891,f332]) ).
fof(f891,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ0_spl
| X0 = multiply(sk_c2,X0) ),
inference(forward_demodulation,[status(thm)],[f878,f869]) ).
fof(f900,plain,
( sQ48_spl
| ~ sQ11_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ12_spl
| sk_c10 != sk_c11 ),
inference(backward_demodulation,[status(thm)],[f861,f366]) ).
fof(f903,plain,
( sQ54_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f780,f350,f402]) ).
fof(f904,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ12_spl
| sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f875,f832]) ).
fof(f905,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ12_spl
| sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f904]) ).
fof(f906,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ11_spl
| ~ sQ0_spl
| sk_c1 = inverse(sk_c11) ),
inference(backward_demodulation,[status(thm)],[f879,f844]) ).
fof(f909,plain,
( sQ63_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ11_spl
| ~ sQ0_spl
| sk_c11 != inverse(identity) ),
inference(backward_demodulation,[status(thm)],[f879,f783]) ).
fof(f910,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ11_spl
| ~ sQ0_spl
| inverse(sk_c1) = sk_c11 ),
inference(backward_demodulation,[status(thm)],[f879,f180]) ).
fof(f912,plain,
( sQ62_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ11_spl
| ~ sQ0_spl
| inverse(inverse(identity)) != sk_c11 ),
inference(backward_demodulation,[status(thm)],[f879,f782]) ).
fof(f913,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ0_spl
| sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f883,f334]) ).
fof(f914,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ0_spl
| sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f913]) ).
fof(f927,plain,
( sQ19_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ0_spl
| inverse(sk_c1) != sk_c11 ),
inference(backward_demodulation,[status(thm)],[f887,f338]) ).
fof(f928,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ0_spl
| X0 = multiply(X0,sk_c1) ),
inference(backward_demodulation,[status(thm)],[f887,f580]) ).
fof(f934,plain,
( sQ41_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ0_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f888,f391,f110,f153,f166,f192,f179,f323]) ).
fof(f936,plain,
( sQ48_spl
| ~ sQ11_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f900,f391,f166,f179,f110,f153,f364]) ).
fof(f938,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ11_spl
| sk_c11 = sk_c1 ),
inference(forward_demodulation,[status(thm)],[f887,f875]) ).
fof(f942,plain,
( sQ68_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| ~ sQ11_spl
| sk_c1 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f887,f833]) ).
fof(f947,plain,
( sQ63_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ11_spl
| ~ sQ0_spl
| sk_c11 != inverse(sk_c1) ),
inference(forward_demodulation,[status(thm)],[f887,f909]) ).
fof(f948,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ11_spl
| ~ sQ0_spl
| sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f910,f947]) ).
fof(f949,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ11_spl
| ~ sQ0_spl
| sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f948]) ).
fof(f950,plain,
( sQ62_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ11_spl
| ~ sQ0_spl
| inverse(inverse(sk_c1)) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f887,f912]) ).
fof(f959,plain,
( sQ30_spl
| ~ sQ3_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f802,f350,f121,f286]) ).
fof(f963,plain,
( sQ25_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f876,f391,f166,f179,f110,f269]) ).
fof(f965,plain,
( sQ24_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f864,f391,f166,f179,f266]) ).
fof(f966,plain,
( sQ20_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f581,f391,f252]) ).
fof(f981,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ0_spl
| X0 = multiply(X0,sk_c11) ),
inference(backward_demodulation,[status(thm)],[f938,f928]) ).
fof(f982,plain,
( sQ19_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ0_spl
| inverse(sk_c11) != sk_c11 ),
inference(backward_demodulation,[status(thm)],[f938,f927]) ).
fof(f983,plain,
( sQ62_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ11_spl
| ~ sQ0_spl
| inverse(inverse(sk_c11)) != sk_c11 ),
inference(backward_demodulation,[status(thm)],[f938,f950]) ).
fof(f984,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ11_spl
| ~ sQ0_spl
| sk_c11 = inverse(sk_c11) ),
inference(backward_demodulation,[status(thm)],[f938,f906]) ).
fof(f998,plain,
( sQ49_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ0_spl
| inverse(sk_c1) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f887,f369]) ).
fof(f999,plain,
( sQ49_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ0_spl
| inverse(sk_c11) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f938,f998]) ).
fof(f1000,plain,
( sQ49_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ0_spl
| sk_c1 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f906,f999]) ).
fof(f1001,plain,
( sQ49_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ0_spl
| sk_c11 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f938,f1000]) ).
fof(f1004,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ11_spl
| sk_c1 = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f906,f111]) ).
fof(f1005,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ11_spl
| sk_c11 = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f938,f1004]) ).
fof(f1006,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ11_spl
| sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1005,f1001]) ).
fof(f1007,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ11_spl
| sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1006]) ).
fof(f1014,plain,
( sQ68_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| ~ sQ11_spl
| sk_c11 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f938,f942]) ).
fof(f1015,plain,
( sQ68_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1014]) ).
fof(f1016,plain,
( sQ68_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f1015]) ).
fof(f1022,plain,
( sQ62_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ11_spl
| ~ sQ0_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f983,f387,f110,f153,f192,f166,f179,f495]) ).
fof(f1023,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ11_spl
| ~ sQ0_spl
| sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f984,f982]) ).
fof(f1024,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ11_spl
| ~ sQ0_spl
| sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f1023]) ).
fof(f1025,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ11_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f1005,f391,f153,f192,f166,f179,f110]) ).
fof(f1039,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ0_spl
| inverse(X0) != sk_c11
| X0 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f981,f209]) ).
fof(f1040,plain,
( ~ sQ16_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ0_spl
| inverse(sk_c10) != sk_c11 ),
inference(destructive_equality_resolution,[status(thm)],[f1039]) ).
fof(f1041,plain,
( ~ sQ16_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1040,f798]) ).
fof(f1042,plain,
( ~ sQ16_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1041]) ).
fof(f1043,plain,
$false,
inference(sat_refutation,[status(thm)],[f116,f120,f124,f128,f132,f136,f140,f144,f148,f152,f156,f157,f158,f159,f160,f161,f163,f164,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,f258,f265,f275,f285,f329,f349,f363,f370,f372,f383,f390,f394,f397,f409,f475,f479,f481,f501,f517,f524,f568,f572,f641,f669,f715,f737,f759,f762,f765,f768,f771,f777,f800,f807,f815,f829,f836,f874,f903,f905,f914,f934,f936,f949,f959,f963,f965,f966,f1007,f1016,f1022,f1024,f1025,f1042]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP379-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.59 % Computer : n003.cluster.edu
% 0.10/0.59 % Model : x86_64 x86_64
% 0.10/0.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.59 % Memory : 8046.5625MB
% 0.10/0.59 % OS : Linux 6.8.0-71-generic
% 0.10/0.59 % CPULimit : 300
% 0.10/0.59 % WCLimit : 300
% 0.10/0.59 % DateTime : Sun Sep 20 20:12:15 UTC 2026
% 0.10/0.59 % CPUTime :
% 0.10/0.60 % Drodi V4.1.1
% 0.16/0.63 % Refutation found
% 0.16/0.63 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.66 % Elapsed time: 0.067209 seconds
% 0.16/0.66 % CPU time: 0.284340 seconds
% 0.16/0.66 % Total memory used: 70.470 MB
% 0.16/0.66 % Net memory used: 70.214 MB
%------------------------------------------------------------------------------