%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP349-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 12:33:29 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 78
% Syntax : Number of formulae : 355 ( 13 unt; 27 def)
% Number of atoms : 1076 ( 423 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 1295 ( 574 ~; 694 |; 0 &)
% ( 27 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 28 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 68 ( 68 !; 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_c4,sk_c10) = sk_c9
| multiply(sk_c9,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c9,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c9,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( inverse(sk_c5) = sk_c10
| multiply(sk_c9,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( multiply(sk_c5,sk_c9) = sk_c10
| multiply(sk_c9,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c9,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c9,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( inverse(sk_c5) = sk_c10
| multiply(sk_c9,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( multiply(sk_c5,sk_c9) = sk_c10
| multiply(sk_c9,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c10) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c10) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
( inverse(sk_c5) = sk_c10
| inverse(sk_c10) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( multiply(sk_c5,sk_c9) = sk_c10
| inverse(sk_c10) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c1,sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c1,sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c1,sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( inverse(sk_c5) = sk_c10
| multiply(sk_c1,sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
( multiply(sk_c5,sk_c9) = sk_c10
| multiply(sk_c1,sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c9
| multiply(sk_c1,sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
( inverse(sk_c6) = sk_c7
| multiply(sk_c1,sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c9
| multiply(sk_c1,sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
( inverse(sk_c5) = sk_c10
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
( multiply(sk_c5,sk_c9) = sk_c10
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c9
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
( inverse(sk_c6) = sk_c7
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c9
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c2,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
( inverse(sk_c5) = sk_c10
| multiply(sk_c2,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
( multiply(sk_c5,sk_c9) = sk_c10
| multiply(sk_c2,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c9
| multiply(sk_c2,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c9
| multiply(sk_c2,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55,negated_conjecture,
( inverse(sk_c5) = sk_c10
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,negated_conjecture,
( multiply(sk_c5,sk_c9) = sk_c10
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f60,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f61,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f62,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f63,negated_conjecture,
( inverse(sk_c5) = sk_c10
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f64,negated_conjecture,
( multiply(sk_c5,sk_c9) = sk_c10
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f65,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c9
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f66,negated_conjecture,
( inverse(sk_c6) = sk_c7
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f67,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c9
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f68,negated_conjecture,
! [X4,X5,X6,X1,X2,X7,X3] :
( multiply(X3,sk_c8) != sk_c9
| inverse(X7) != X3
| multiply(X7,X3) != sk_c9
| multiply(X2,sk_c9) != sk_c10
| inverse(X2) != sk_c10
| multiply(sk_c10,sk_c8) != sk_c9
| inverse(X1) != sk_c10
| multiply(X1,sk_c10) != sk_c9
| multiply(X6,sk_c9) != sk_c8
| inverse(X6) != sk_c8
| multiply(X5,sk_c8) != sk_c9
| inverse(X4) != X5
| multiply(X4,X5) != sk_c9
| inverse(sk_c10) != sk_c8
| multiply(sk_c9,sk_c8) != sk_c10
| multiply(sk_c9,sk_c10) != sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f69,plain,
! [X0] : multiply(identity,X0) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f70,plain,
! [X0] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f71,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f72,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c9,sk_c10) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f73,plain,
( inverse(sk_c4) = sk_c10
| multiply(sk_c9,sk_c10) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f74,plain,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c9,sk_c10) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f75,plain,
( inverse(sk_c5) = sk_c10
| multiply(sk_c9,sk_c10) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f76,plain,
( multiply(sk_c5,sk_c9) = sk_c10
| multiply(sk_c9,sk_c10) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f80,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c9,sk_c8) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f81,plain,
( inverse(sk_c4) = sk_c10
| multiply(sk_c9,sk_c8) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f83,plain,
( inverse(sk_c5) = sk_c10
| multiply(sk_c9,sk_c8) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f84,plain,
( multiply(sk_c5,sk_c9) = sk_c10
| multiply(sk_c9,sk_c8) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f88,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c10) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f89,plain,
( inverse(sk_c4) = sk_c10
| inverse(sk_c10) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f91,plain,
( inverse(sk_c5) = sk_c10
| inverse(sk_c10) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f92,plain,
( multiply(sk_c5,sk_c9) = sk_c10
| inverse(sk_c10) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f96,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c1,sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f97,plain,
( inverse(sk_c4) = sk_c10
| multiply(sk_c1,sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f98,plain,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c1,sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f99,plain,
( inverse(sk_c5) = sk_c10
| multiply(sk_c1,sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f100,plain,
( multiply(sk_c5,sk_c9) = sk_c10
| multiply(sk_c1,sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f101,plain,
( multiply(sk_c6,sk_c7) = sk_c9
| multiply(sk_c1,sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f102,plain,
( inverse(sk_c6) = sk_c7
| multiply(sk_c1,sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f103,plain,
( multiply(sk_c7,sk_c8) = sk_c9
| multiply(sk_c1,sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f104,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c1) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f105,plain,
( inverse(sk_c4) = sk_c10
| inverse(sk_c1) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f106,plain,
( multiply(sk_c10,sk_c8) = sk_c9
| inverse(sk_c1) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f107,plain,
( inverse(sk_c5) = sk_c10
| inverse(sk_c1) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f108,plain,
( multiply(sk_c5,sk_c9) = sk_c10
| inverse(sk_c1) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f109,plain,
( multiply(sk_c6,sk_c7) = sk_c9
| inverse(sk_c1) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f110,plain,
( inverse(sk_c6) = sk_c7
| inverse(sk_c1) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f111,plain,
( multiply(sk_c7,sk_c8) = sk_c9
| inverse(sk_c1) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f112,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c2,sk_c8) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f115,plain,
( inverse(sk_c5) = sk_c10
| multiply(sk_c2,sk_c8) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f116,plain,
( multiply(sk_c5,sk_c9) = sk_c10
| multiply(sk_c2,sk_c8) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f117,plain,
( multiply(sk_c6,sk_c7) = sk_c9
| multiply(sk_c2,sk_c8) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f119,plain,
( multiply(sk_c7,sk_c8) = sk_c9
| multiply(sk_c2,sk_c8) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f120,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c3) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f121,plain,
( inverse(sk_c4) = sk_c10
| inverse(sk_c3) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f122,plain,
( multiply(sk_c10,sk_c8) = sk_c9
| inverse(sk_c3) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f123,plain,
( inverse(sk_c5) = sk_c10
| inverse(sk_c3) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f124,plain,
( multiply(sk_c5,sk_c9) = sk_c10
| inverse(sk_c3) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f128,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c3,sk_c9) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f129,plain,
( inverse(sk_c4) = sk_c10
| multiply(sk_c3,sk_c9) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f130,plain,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c3,sk_c9) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f131,plain,
( inverse(sk_c5) = sk_c10
| multiply(sk_c3,sk_c9) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f132,plain,
( multiply(sk_c5,sk_c9) = sk_c10
| multiply(sk_c3,sk_c9) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f133,plain,
( multiply(sk_c6,sk_c7) = sk_c9
| multiply(sk_c3,sk_c9) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f134,plain,
( inverse(sk_c6) = sk_c7
| multiply(sk_c3,sk_c9) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f135,plain,
( multiply(sk_c7,sk_c8) = sk_c9
| multiply(sk_c3,sk_c9) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f136,plain,
! [X3] :
( multiply(X3,sk_c8) != sk_c9
| ! [X7] :
( inverse(X7) != X3
| multiply(X7,X3) != sk_c9
| ! [X2] :
( multiply(X2,sk_c9) != sk_c10
| inverse(X2) != sk_c10
| multiply(sk_c10,sk_c8) != sk_c9
| ! [X1] :
( inverse(X1) != sk_c10
| multiply(X1,sk_c10) != sk_c9
| ! [X6] :
( multiply(X6,sk_c9) != sk_c8
| inverse(X6) != sk_c8
| ! [X5] :
( multiply(X5,sk_c8) != sk_c9
| ! [X4] :
( inverse(X4) != X5
| multiply(X4,X5) != sk_c9
| inverse(sk_c10) != sk_c8
| multiply(sk_c9,sk_c8) != sk_c10
| multiply(sk_c9,sk_c10) != sk_c8 ) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f68]) ).
fof(f137,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( multiply(X6,sk_c8) != sk_c9
| inverse(X5) != X6
| multiply(X5,X6) != sk_c9
| multiply(X4,sk_c9) != sk_c10
| inverse(X4) != sk_c10
| multiply(sk_c10,sk_c8) != sk_c9
| inverse(X3) != sk_c10
| multiply(X3,sk_c10) != sk_c9
| multiply(X2,sk_c9) != sk_c8
| inverse(X2) != sk_c8
| multiply(X1,sk_c8) != sk_c9
| inverse(X0) != X1
| multiply(X0,X1) != sk_c9
| inverse(sk_c10) != sk_c8
| multiply(sk_c9,sk_c8) != sk_c10
| multiply(sk_c9,sk_c10) != sk_c8 ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f138,definition,
( sQ0_spl
<=> multiply(sk_c9,sk_c10) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f139,plain,
( ~ sQ0_spl
| multiply(sk_c9,sk_c10) = sk_c8 ),
inference(component_clause,[status(thm)],[f138]) ).
fof(f140,plain,
( sQ0_spl
| multiply(sk_c9,sk_c10) != sk_c8 ),
inference(component_clause,[status(thm)],[f138]) ).
fof(f141,definition,
( sQ1_spl
<=> multiply(sk_c4,sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f142,plain,
( ~ sQ1_spl
| multiply(sk_c4,sk_c10) = sk_c9 ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f144,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f72,f138,f141]) ).
fof(f145,definition,
( sQ2_spl
<=> inverse(sk_c4) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f146,plain,
( ~ sQ2_spl
| inverse(sk_c4) = sk_c10 ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f147,plain,
( sQ2_spl
| inverse(sk_c4) != sk_c10 ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f148,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f73,f138,f145]) ).
fof(f149,definition,
( sQ3_spl
<=> multiply(sk_c10,sk_c8) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f150,plain,
( ~ sQ3_spl
| multiply(sk_c10,sk_c8) = sk_c9 ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f151,plain,
( sQ3_spl
| multiply(sk_c10,sk_c8) != sk_c9 ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f152,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f74,f138,f149]) ).
fof(f153,definition,
( sQ4_spl
<=> inverse(sk_c5) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f154,plain,
( ~ sQ4_spl
| inverse(sk_c5) = sk_c10 ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f156,plain,
( sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f75,f138,f153]) ).
fof(f157,definition,
( sQ5_spl
<=> multiply(sk_c5,sk_c9) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f158,plain,
( ~ sQ5_spl
| multiply(sk_c5,sk_c9) = sk_c10 ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f160,plain,
( sQ5_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f76,f138,f157]) ).
fof(f161,definition,
( sQ6_spl
<=> multiply(sk_c6,sk_c7) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f162,plain,
( ~ sQ6_spl
| multiply(sk_c6,sk_c7) = sk_c9 ),
inference(component_clause,[status(thm)],[f161]) ).
fof(f165,definition,
( sQ7_spl
<=> inverse(sk_c6) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f166,plain,
( ~ sQ7_spl
| inverse(sk_c6) = sk_c7 ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f169,definition,
( sQ8_spl
<=> multiply(sk_c7,sk_c8) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f170,plain,
( ~ sQ8_spl
| multiply(sk_c7,sk_c8) = sk_c9 ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f173,definition,
( sQ9_spl
<=> multiply(sk_c9,sk_c8) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f174,plain,
( ~ sQ9_spl
| multiply(sk_c9,sk_c8) = sk_c10 ),
inference(component_clause,[status(thm)],[f173]) ).
fof(f175,plain,
( sQ9_spl
| multiply(sk_c9,sk_c8) != sk_c10 ),
inference(component_clause,[status(thm)],[f173]) ).
fof(f176,plain,
( sQ1_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f80,f173,f141]) ).
fof(f177,plain,
( sQ2_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f81,f173,f145]) ).
fof(f179,plain,
( sQ4_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f83,f173,f153]) ).
fof(f180,plain,
( sQ5_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f84,f173,f157]) ).
fof(f184,definition,
( sQ10_spl
<=> inverse(sk_c10) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f185,plain,
( ~ sQ10_spl
| inverse(sk_c10) = sk_c8 ),
inference(component_clause,[status(thm)],[f184]) ).
fof(f186,plain,
( sQ10_spl
| inverse(sk_c10) != sk_c8 ),
inference(component_clause,[status(thm)],[f184]) ).
fof(f187,plain,
( sQ1_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f88,f184,f141]) ).
fof(f188,plain,
( sQ2_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f89,f184,f145]) ).
fof(f190,plain,
( sQ4_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f91,f184,f153]) ).
fof(f191,plain,
( sQ5_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f92,f184,f157]) ).
fof(f195,definition,
( sQ11_spl
<=> multiply(sk_c1,sk_c2) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f196,plain,
( ~ sQ11_spl
| multiply(sk_c1,sk_c2) = sk_c9 ),
inference(component_clause,[status(thm)],[f195]) ).
fof(f198,plain,
( sQ1_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f96,f195,f141]) ).
fof(f199,plain,
( sQ2_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f97,f195,f145]) ).
fof(f200,plain,
( sQ3_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f98,f195,f149]) ).
fof(f201,plain,
( sQ4_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f99,f195,f153]) ).
fof(f202,plain,
( sQ5_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f100,f195,f157]) ).
fof(f203,plain,
( sQ6_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f101,f195,f161]) ).
fof(f204,plain,
( sQ7_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f102,f195,f165]) ).
fof(f205,plain,
( sQ8_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f103,f195,f169]) ).
fof(f206,definition,
( sQ12_spl
<=> inverse(sk_c1) = sk_c2 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f207,plain,
( ~ sQ12_spl
| inverse(sk_c1) = sk_c2 ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,plain,
( sQ1_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f104,f206,f141]) ).
fof(f210,plain,
( sQ2_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f105,f206,f145]) ).
fof(f211,plain,
( sQ3_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f106,f206,f149]) ).
fof(f212,plain,
( sQ4_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f107,f206,f153]) ).
fof(f213,plain,
( sQ5_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f108,f206,f157]) ).
fof(f214,plain,
( sQ6_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f109,f206,f161]) ).
fof(f215,plain,
( sQ7_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f110,f206,f165]) ).
fof(f216,plain,
( sQ8_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f111,f206,f169]) ).
fof(f217,definition,
( sQ13_spl
<=> multiply(sk_c2,sk_c8) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f218,plain,
( ~ sQ13_spl
| multiply(sk_c2,sk_c8) = sk_c9 ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f220,plain,
( sQ1_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f112,f217,f141]) ).
fof(f223,plain,
( sQ4_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f115,f217,f153]) ).
fof(f224,plain,
( sQ5_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f116,f217,f157]) ).
fof(f225,plain,
( sQ6_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f117,f217,f161]) ).
fof(f227,plain,
( sQ8_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f119,f217,f169]) ).
fof(f228,definition,
( sQ14_spl
<=> inverse(sk_c3) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f229,plain,
( ~ sQ14_spl
| inverse(sk_c3) = sk_c8 ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f230,plain,
( sQ14_spl
| inverse(sk_c3) != sk_c8 ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f231,plain,
( sQ1_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f120,f228,f141]) ).
fof(f232,plain,
( sQ2_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f121,f228,f145]) ).
fof(f233,plain,
( sQ3_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f122,f228,f149]) ).
fof(f234,plain,
( sQ4_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f123,f228,f153]) ).
fof(f235,plain,
( sQ5_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f124,f228,f157]) ).
fof(f239,definition,
( sQ15_spl
<=> multiply(sk_c3,sk_c9) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f240,plain,
( ~ sQ15_spl
| multiply(sk_c3,sk_c9) = sk_c8 ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f242,plain,
( sQ1_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f128,f239,f141]) ).
fof(f243,plain,
( sQ2_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f129,f239,f145]) ).
fof(f244,plain,
( sQ3_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f130,f239,f149]) ).
fof(f245,plain,
( sQ4_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f131,f239,f153]) ).
fof(f246,plain,
( sQ5_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f132,f239,f157]) ).
fof(f247,plain,
( sQ6_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f133,f239,f161]) ).
fof(f248,plain,
( sQ7_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f134,f239,f165]) ).
fof(f249,plain,
( sQ8_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f135,f239,f169]) ).
fof(f250,definition,
! [X0,X1] :
( sQ16_spl
<=> ( multiply(X1,sk_c8) != sk_c9
| inverse(X0) != X1
| multiply(X0,X1) != sk_c9 ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f251,plain,
! [X0,X1] :
( ~ sQ16_spl
| multiply(X1,sk_c8) != sk_c9
| inverse(X0) != X1
| multiply(X0,X1) != sk_c9 ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f253,definition,
! [X2] :
( sQ17_spl
<=> ( multiply(X2,sk_c9) != sk_c8
| inverse(X2) != sk_c8 ) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f254,plain,
! [X0] :
( ~ sQ17_spl
| multiply(X0,sk_c9) != sk_c8
| inverse(X0) != sk_c8 ),
inference(component_clause,[status(thm)],[f253]) ).
fof(f256,definition,
! [X3] :
( sQ18_spl
<=> ( inverse(X3) != sk_c10
| multiply(X3,sk_c10) != sk_c9 ) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f257,plain,
! [X0] :
( ~ sQ18_spl
| inverse(X0) != sk_c10
| multiply(X0,sk_c10) != sk_c9 ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f259,definition,
! [X4] :
( sQ19_spl
<=> ( multiply(X4,sk_c9) != sk_c10
| inverse(X4) != sk_c10 ) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f260,plain,
! [X0] :
( ~ sQ19_spl
| multiply(X0,sk_c9) != sk_c10
| inverse(X0) != sk_c10 ),
inference(component_clause,[status(thm)],[f259]) ).
fof(f262,plain,
( sQ19_spl
| ~ sQ3_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f137,f138,f173,f184,f250,f253,f256,f149,f259]) ).
fof(f269,plain,
( ~ sQ2_spl
| multiply(sk_c10,sk_c4) = identity ),
inference(paramodulation,[status(thm)],[f146,f70]) ).
fof(f270,plain,
( ~ sQ4_spl
| multiply(sk_c10,sk_c5) = identity ),
inference(paramodulation,[status(thm)],[f154,f70]) ).
fof(f272,plain,
( ~ sQ12_spl
| multiply(sk_c2,sk_c1) = identity ),
inference(paramodulation,[status(thm)],[f207,f70]) ).
fof(f274,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f70,f71]) ).
fof(f275,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f69,f274]) ).
fof(f276,plain,
! [X0] :
( ~ sQ11_spl
| multiply(sk_c9,X0) = multiply(sk_c1,multiply(sk_c2,X0)) ),
inference(paramodulation,[status(thm)],[f196,f71]) ).
fof(f278,plain,
( ~ sQ10_spl
| multiply(sk_c8,sk_c10) = identity ),
inference(paramodulation,[status(thm)],[f185,f70]) ).
fof(f281,plain,
! [X0] :
( ~ sQ1_spl
| multiply(sk_c9,X0) = multiply(sk_c4,multiply(sk_c10,X0)) ),
inference(paramodulation,[status(thm)],[f142,f71]) ).
fof(f282,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| inverse(sk_c5) != sk_c10 ),
inference(resolution,[status(thm)],[f260,f158]) ).
fof(f288,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| ~ sQ4_spl
| sk_c10 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f154,f282]) ).
fof(f289,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| ~ sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f288]) ).
fof(f290,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f289]) ).
fof(f291,plain,
! [X0] :
( ~ sQ16_spl
| multiply(inverse(X0),sk_c8) != sk_c9
| multiply(X0,inverse(X0)) != sk_c9 ),
inference(destructive_equality_resolution,[status(thm)],[f251]) ).
fof(f294,plain,
( ~ sQ1_spl
| ~ sQ18_spl
| inverse(sk_c4) != sk_c10 ),
inference(resolution,[status(thm)],[f257,f142]) ).
fof(f297,plain,
( ~ sQ18_spl
| inverse(inverse(sk_c10)) != sk_c10
| identity != sk_c9 ),
inference(paramodulation,[status(thm)],[f70,f257]) ).
fof(f300,plain,
( ~ sQ1_spl
| ~ sQ18_spl
| ~ sQ2_spl
| sk_c10 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f146,f294]) ).
fof(f301,plain,
( ~ sQ1_spl
| ~ sQ18_spl
| ~ sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f300]) ).
fof(f302,plain,
( ~ sQ1_spl
| ~ sQ18_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f301]) ).
fof(f315,plain,
( ~ sQ15_spl
| ~ sQ17_spl
| inverse(sk_c3) != sk_c8 ),
inference(resolution,[status(thm)],[f254,f240]) ).
fof(f322,plain,
( ~ sQ15_spl
| ~ sQ17_spl
| ~ sQ14_spl
| sk_c8 != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f229,f315]) ).
fof(f323,plain,
( ~ sQ15_spl
| ~ sQ17_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f322]) ).
fof(f324,plain,
( ~ sQ15_spl
| ~ sQ17_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f323]) ).
fof(f325,plain,
( ~ sQ16_spl
| multiply(inverse(identity),sk_c8) != sk_c9
| inverse(identity) != sk_c9 ),
inference(paramodulation,[status(thm)],[f69,f291]) ).
fof(f327,plain,
( ~ sQ7_spl
| ~ sQ16_spl
| multiply(inverse(sk_c6),sk_c8) != sk_c9
| multiply(sk_c6,sk_c7) != sk_c9 ),
inference(paramodulation,[status(thm)],[f166,f291]) ).
fof(f328,plain,
( ~ sQ12_spl
| ~ sQ16_spl
| multiply(inverse(sk_c1),sk_c8) != sk_c9
| multiply(sk_c1,sk_c2) != sk_c9 ),
inference(paramodulation,[status(thm)],[f207,f291]) ).
fof(f329,definition,
( sQ20_spl
<=> inverse(identity) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f332,definition,
( sQ21_spl
<=> multiply(inverse(identity),sk_c8) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f335,plain,
( ~ sQ16_spl
| ~ sQ21_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f325,f329,f332,f250]) ).
fof(f336,definition,
( sQ22_spl
<=> multiply(inverse(sk_c6),sk_c8) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f338,plain,
( sQ22_spl
| multiply(inverse(sk_c6),sk_c8) != sk_c9 ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f339,plain,
( ~ sQ7_spl
| ~ sQ16_spl
| ~ sQ22_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f327,f161,f336,f250,f165]) ).
fof(f340,definition,
( sQ23_spl
<=> multiply(inverse(sk_c1),sk_c8) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f342,plain,
( sQ23_spl
| multiply(inverse(sk_c1),sk_c8) != sk_c9 ),
inference(component_clause,[status(thm)],[f340]) ).
fof(f343,plain,
( ~ sQ12_spl
| ~ sQ16_spl
| ~ sQ23_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f328,f195,f340,f250,f206]) ).
fof(f344,plain,
( sQ23_spl
| ~ sQ12_spl
| multiply(sk_c2,sk_c8) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f207,f342]) ).
fof(f345,plain,
( sQ23_spl
| ~ sQ12_spl
| ~ sQ13_spl
| sk_c9 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f218,f344]) ).
fof(f346,plain,
( sQ23_spl
| ~ sQ12_spl
| ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f345]) ).
fof(f347,plain,
( sQ23_spl
| ~ sQ12_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f346]) ).
fof(f348,plain,
( sQ22_spl
| ~ sQ7_spl
| multiply(sk_c7,sk_c8) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f166,f338]) ).
fof(f349,plain,
( sQ22_spl
| ~ sQ7_spl
| ~ sQ8_spl
| sk_c9 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f170,f348]) ).
fof(f350,plain,
( sQ22_spl
| ~ sQ7_spl
| ~ sQ8_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f349]) ).
fof(f351,plain,
( sQ22_spl
| ~ sQ7_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f350]) ).
fof(f354,plain,
! [X0] :
( ~ sQ3_spl
| multiply(sk_c9,X0) = multiply(sk_c10,multiply(sk_c8,X0)) ),
inference(paramodulation,[status(thm)],[f150,f71]) ).
fof(f358,plain,
! [X0] :
( ~ sQ2_spl
| multiply(identity,X0) = multiply(sk_c10,multiply(sk_c4,X0)) ),
inference(paramodulation,[status(thm)],[f269,f71]) ).
fof(f359,plain,
! [X0] :
( ~ sQ2_spl
| X0 = multiply(sk_c10,multiply(sk_c4,X0)) ),
inference(forward_demodulation,[status(thm)],[f69,f358]) ).
fof(f360,plain,
! [X0] :
( ~ sQ4_spl
| multiply(identity,X0) = multiply(sk_c10,multiply(sk_c5,X0)) ),
inference(paramodulation,[status(thm)],[f270,f71]) ).
fof(f361,plain,
! [X0] :
( ~ sQ4_spl
| X0 = multiply(sk_c10,multiply(sk_c5,X0)) ),
inference(forward_demodulation,[status(thm)],[f69,f360]) ).
fof(f362,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| sk_c10 = multiply(sk_c10,sk_c9) ),
inference(paramodulation,[status(thm)],[f142,f359]) ).
fof(f366,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| sk_c9 = multiply(sk_c10,sk_c10) ),
inference(paramodulation,[status(thm)],[f158,f361]) ).
fof(f410,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ1_spl
| multiply(sk_c9,sk_c10) = multiply(sk_c4,sk_c9) ),
inference(paramodulation,[status(thm)],[f366,f281]) ).
fof(f414,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| multiply(sk_c9,sk_c5) = multiply(sk_c4,identity) ),
inference(paramodulation,[status(thm)],[f270,f281]) ).
fof(f416,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| multiply(sk_c9,sk_c8) = multiply(sk_c4,sk_c9) ),
inference(paramodulation,[status(thm)],[f150,f281]) ).
fof(f423,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ9_spl
| sk_c10 = multiply(sk_c4,sk_c9) ),
inference(forward_demodulation,[status(thm)],[f174,f416]) ).
fof(f555,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| sk_c10 = multiply(inverse(sk_c10),sk_c9) ),
inference(paramodulation,[status(thm)],[f366,f275]) ).
fof(f556,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| sk_c9 = multiply(inverse(sk_c10),sk_c10) ),
inference(paramodulation,[status(thm)],[f362,f275]) ).
fof(f557,plain,
( ~ sQ4_spl
| sk_c5 = multiply(inverse(sk_c10),identity) ),
inference(paramodulation,[status(thm)],[f270,f275]) ).
fof(f558,plain,
( ~ sQ2_spl
| sk_c4 = multiply(inverse(sk_c10),identity) ),
inference(paramodulation,[status(thm)],[f269,f275]) ).
fof(f559,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(paramodulation,[status(thm)],[f275,f275]) ).
fof(f560,plain,
! [X0] : X0 = multiply(inverse(inverse(X0)),identity),
inference(paramodulation,[status(thm)],[f70,f275]) ).
fof(f578,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| multiply(sk_c9,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f580,f69]) ).
fof(f580,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| sk_c9 = identity ),
inference(forward_demodulation,[status(thm)],[f70,f556]) ).
fof(f591,plain,
! [X0] : X0 = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f559,f560]) ).
fof(f593,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| X0 = multiply(X0,sk_c9) ),
inference(forward_demodulation,[status(thm)],[f580,f591]) ).
fof(f612,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c10 = inverse(sk_c10) ),
inference(forward_demodulation,[status(thm)],[f593,f555]) ).
fof(f618,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| sk_c10 = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f185,f612]) ).
fof(f674,plain,
( sQ14_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| inverse(sk_c3) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f618,f230]) ).
fof(f688,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c10 = multiply(sk_c4,sk_c9) ),
inference(forward_demodulation,[status(thm)],[f578,f410]) ).
fof(f689,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c10 = sk_c4 ),
inference(forward_demodulation,[status(thm)],[f593,f688]) ).
fof(f691,plain,
( sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c10 != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f578,f140]) ).
fof(f692,plain,
( sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ10_spl
| sk_c10 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f618,f691]) ).
fof(f693,plain,
( sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f692]) ).
fof(f694,plain,
( sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f693]) ).
fof(f696,plain,
( ~ sQ15_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c3 = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f593,f240]) ).
fof(f711,plain,
( sQ10_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c10 != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f612,f186]) ).
fof(f712,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c10 = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f578,f139]) ).
fof(f713,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sQ10_spl
| ~ sQ5_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f712,f711]) ).
fof(f714,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sQ10_spl
| ~ sQ5_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f713]) ).
fof(f715,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c8 = multiply(sk_c4,sk_c9) ),
inference(forward_demodulation,[status(thm)],[f578,f416]) ).
fof(f716,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c8 = sk_c4 ),
inference(forward_demodulation,[status(thm)],[f593,f715]) ).
fof(f717,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ4_spl
| sk_c8 = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f689,f716]) ).
fof(f718,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ4_spl
| sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f717,f711]) ).
fof(f719,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ4_spl
| sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f718]) ).
fof(f750,plain,
( sQ14_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ15_spl
| inverse(sk_c8) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f696,f674]) ).
fof(f751,plain,
( sQ14_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ15_spl
| ~ sQ3_spl
| inverse(sk_c10) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f717,f750]) ).
fof(f752,plain,
( sQ14_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ15_spl
| ~ sQ3_spl
| sk_c10 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f612,f751]) ).
fof(f753,plain,
( sQ14_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ15_spl
| ~ sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f752]) ).
fof(f754,plain,
( sQ14_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ15_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f753]) ).
fof(f758,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ9_spl
| sk_c10 = multiply(sk_c9,sk_c8) ),
inference(forward_demodulation,[status(thm)],[f416,f423]) ).
fof(f767,plain,
( ~ sQ4_spl
| sk_c5 = inverse(sk_c10) ),
inference(forward_demodulation,[status(thm)],[f591,f557]) ).
fof(f771,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ10_spl
| X0 = multiply(sk_c10,multiply(sk_c8,X0)) ),
inference(backward_demodulation,[status(thm)],[f772,f361]) ).
fof(f772,plain,
( ~ sQ4_spl
| ~ sQ10_spl
| sk_c5 = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f185,f767]) ).
fof(f773,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ10_spl
| multiply(sk_c9,sk_c8) = multiply(sk_c4,identity) ),
inference(forward_demodulation,[status(thm)],[f772,f414]) ).
fof(f774,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ3_spl
| ~ sQ9_spl
| sk_c10 = multiply(sk_c4,identity) ),
inference(forward_demodulation,[status(thm)],[f758,f773]) ).
fof(f777,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ3_spl
| ~ sQ9_spl
| sk_c10 = sk_c4 ),
inference(forward_demodulation,[status(thm)],[f591,f774]) ).
fof(f778,plain,
( sQ2_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ3_spl
| ~ sQ9_spl
| inverse(sk_c10) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f777,f147]) ).
fof(f779,plain,
( sQ2_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ3_spl
| ~ sQ9_spl
| sk_c8 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f185,f778]) ).
fof(f789,definition,
( sQ26_spl
<=> sk_c9 = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f791,plain,
( sQ26_spl
| sk_c9 != sk_c9 ),
inference(component_clause,[status(thm)],[f789]) ).
fof(f793,definition,
( sQ27_spl
<=> identity = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f795,plain,
( sQ27_spl
| identity != sk_c9 ),
inference(component_clause,[status(thm)],[f793]) ).
fof(f796,definition,
( sQ28_spl
<=> inverse(inverse(sk_c10)) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f798,plain,
( sQ28_spl
| inverse(inverse(sk_c10)) != sk_c10 ),
inference(component_clause,[status(thm)],[f796]) ).
fof(f799,plain,
( ~ sQ18_spl
| ~ sQ28_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f297,f793,f796,f256]) ).
fof(f825,plain,
( ~ sQ0_spl
| ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ3_spl
| sk_c10 = sk_c8 ),
inference(backward_demodulation,[status(thm)],[f835,f139]) ).
fof(f835,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ3_spl
| X0 = multiply(sk_c9,X0) ),
inference(forward_demodulation,[status(thm)],[f354,f771]) ).
fof(f843,plain,
( ~ sQ0_spl
| ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ3_spl
| sQ2_spl
| ~ sQ1_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f825,f779]) ).
fof(f844,plain,
( ~ sQ0_spl
| ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ3_spl
| sQ2_spl
| ~ sQ1_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f843]) ).
fof(f845,plain,
( sQ28_spl
| ~ sQ10_spl
| inverse(sk_c8) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f185,f798]) ).
fof(f846,plain,
( sQ26_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f791]) ).
fof(f847,plain,
sQ26_spl,
inference(contradiction_clause,[status(thm)],[f846]) ).
fof(f850,plain,
( ~ sQ2_spl
| sk_c4 = inverse(sk_c10) ),
inference(forward_demodulation,[status(thm)],[f591,f558]) ).
fof(f853,plain,
( ~ sQ2_spl
| ~ sQ10_spl
| inverse(sk_c8) = sk_c10 ),
inference(backward_demodulation,[status(thm)],[f854,f146]) ).
fof(f854,plain,
( ~ sQ2_spl
| ~ sQ10_spl
| sk_c4 = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f185,f850]) ).
fof(f859,plain,
( ~ sQ2_spl
| ~ sQ10_spl
| sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f853,f845]) ).
fof(f860,plain,
( ~ sQ2_spl
| ~ sQ10_spl
| sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f859]) ).
fof(f863,plain,
( ~ sQ6_spl
| sk_c7 = multiply(inverse(sk_c6),sk_c9) ),
inference(paramodulation,[status(thm)],[f162,f275]) ).
fof(f866,plain,
( ~ sQ11_spl
| sk_c2 = multiply(inverse(sk_c1),sk_c9) ),
inference(paramodulation,[status(thm)],[f196,f275]) ).
fof(f868,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| sk_c2 = multiply(sk_c2,sk_c9) ),
inference(forward_demodulation,[status(thm)],[f207,f866]) ).
fof(f880,plain,
( ~ sQ12_spl
| sk_c1 = multiply(inverse(sk_c2),identity) ),
inference(paramodulation,[status(thm)],[f272,f275]) ).
fof(f883,plain,
( ~ sQ12_spl
| sk_c1 = inverse(sk_c2) ),
inference(forward_demodulation,[status(thm)],[f591,f880]) ).
fof(f885,plain,
! [X0] :
( ~ sQ12_spl
| X0 = multiply(sk_c1,multiply(sk_c2,X0)) ),
inference(paramodulation,[status(thm)],[f883,f275]) ).
fof(f886,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ11_spl
| sk_c10 = sk_c8 ),
inference(backward_demodulation,[status(thm)],[f896,f139]) ).
fof(f896,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ11_spl
| X0 = multiply(sk_c9,X0) ),
inference(forward_demodulation,[status(thm)],[f276,f885]) ).
fof(f898,plain,
( ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ11_spl
| multiply(sk_c10,sk_c10) = identity ),
inference(backward_demodulation,[status(thm)],[f886,f278]) ).
fof(f909,plain,
( sQ3_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ11_spl
| multiply(sk_c10,sk_c10) != sk_c9 ),
inference(backward_demodulation,[status(thm)],[f886,f151]) ).
fof(f931,plain,
( sQ3_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ10_spl
| identity != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f898,f909]) ).
fof(f962,plain,
( ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ11_spl
| sk_c10 = multiply(inverse(sk_c10),identity) ),
inference(paramodulation,[status(thm)],[f898,f275]) ).
fof(f964,plain,
( ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ11_spl
| sk_c10 = inverse(sk_c10) ),
inference(forward_demodulation,[status(thm)],[f591,f962]) ).
fof(f976,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| sk_c9 = multiply(inverse(sk_c2),sk_c2) ),
inference(paramodulation,[status(thm)],[f868,f275]) ).
fof(f978,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| sk_c9 = identity ),
inference(forward_demodulation,[status(thm)],[f70,f976]) ).
fof(f979,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| sQ3_spl
| ~ sQ0_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f978,f931]) ).
fof(f980,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| sQ3_spl
| ~ sQ0_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f979]) ).
fof(f988,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ12_spl
| X0 = multiply(X0,sk_c9) ),
inference(backward_demodulation,[status(thm)],[f978,f591]) ).
fof(f993,plain,
( sQ27_spl
| ~ sQ11_spl
| ~ sQ12_spl
| sk_c9 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f978,f795]) ).
fof(f994,plain,
( sQ27_spl
| ~ sQ11_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f993]) ).
fof(f995,plain,
( sQ27_spl
| ~ sQ11_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f994]) ).
fof(f999,plain,
( ~ sQ6_spl
| ~ sQ11_spl
| ~ sQ12_spl
| sk_c7 = inverse(sk_c6) ),
inference(backward_demodulation,[status(thm)],[f988,f863]) ).
fof(f1000,plain,
( sQ28_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ11_spl
| inverse(sk_c10) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f886,f845]) ).
fof(f1001,plain,
( sQ28_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ11_spl
| sk_c10 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f964,f1000]) ).
fof(f1002,plain,
( sQ28_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1001]) ).
fof(f1003,plain,
( sQ28_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f1002]) ).
fof(f1009,plain,
( ~ sQ6_spl
| ~ sQ11_spl
| ~ sQ12_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f999,f165,f206,f195,f161]) ).
fof(f1011,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ11_spl
| ~ sQ12_spl
| X0 != sk_c10
| inverse(X0) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f988,f260]) ).
fof(f1012,plain,
( ~ sQ19_spl
| ~ sQ11_spl
| ~ sQ12_spl
| inverse(sk_c10) != sk_c10 ),
inference(destructive_equality_resolution,[status(thm)],[f1011]) ).
fof(f1013,plain,
( ~ sQ19_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ10_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1012,f964]) ).
fof(f1014,plain,
( ~ sQ19_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ10_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1013]) ).
fof(f1032,plain,
( sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c8 != sk_c10 ),
inference(backward_demodulation,[status(thm)],[f578,f175]) ).
fof(f1036,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| sk_c10 = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f854,f689]) ).
fof(f1180,plain,
( sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ10_spl
| sk_c10 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f1036,f1032]) ).
fof(f1181,plain,
( sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1180]) ).
fof(f1182,plain,
( sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f1181]) ).
fof(f1233,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| multiply(X0,sk_c9) != sk_c8
| inverse(X0) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f1036,f254]) ).
fof(f1234,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| X0 != sk_c8
| inverse(X0) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f593,f1233]) ).
fof(f1235,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| X0 != sk_c10
| inverse(X0) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f1036,f1234]) ).
fof(f1236,plain,
( ~ sQ17_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| inverse(sk_c10) != sk_c10 ),
inference(destructive_equality_resolution,[status(thm)],[f1235]) ).
fof(f1237,plain,
( ~ sQ17_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1236,f612]) ).
fof(f1238,plain,
( ~ sQ17_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f1237]) ).
fof(f1239,plain,
$false,
inference(sat_refutation,[status(thm)],[f144,f148,f152,f156,f160,f176,f177,f179,f180,f187,f188,f190,f191,f198,f199,f200,f201,f202,f203,f204,f205,f209,f210,f211,f212,f213,f214,f215,f216,f220,f223,f224,f225,f227,f231,f232,f233,f234,f235,f242,f243,f244,f245,f246,f247,f248,f249,f262,f290,f302,f324,f335,f339,f343,f347,f351,f694,f714,f719,f754,f799,f844,f847,f860,f980,f995,f1003,f1009,f1014,f1182,f1238]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP349-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n009.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:09:59 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.43 % Elapsed time: 0.053656 seconds
% 0.13/0.43 % CPU time: 0.160105 seconds
% 0.13/0.43 % Total memory used: 34.595 MB
% 0.13/0.43 % Net memory used: 34.516 MB
%------------------------------------------------------------------------------