%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP366-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 12:33:32 PM UTC 2026
% Result : Unsatisfiable 0.12s 15.42s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 94
% Syntax : Number of formulae : 489 ( 13 unt; 43 def)
% Number of atoms : 1841 ( 553 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 2554 (1202 ~;1309 |; 0 &)
% ( 43 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 45 ( 43 usr; 44 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 112 ( 112 !; 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_c9,sk_c10) = sk_c8
| multiply(sk_c8,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( inverse(sk_c9) = sk_c8
| multiply(sk_c8,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c8,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( inverse(sk_c5) = sk_c9
| multiply(sk_c8,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| multiply(sk_c8,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c10,sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c10,sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( inverse(sk_c9) = sk_c8
| multiply(sk_c10,sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c10,sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( inverse(sk_c5) = sk_c9
| multiply(sk_c10,sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| multiply(sk_c10,sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c10,sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( inverse(sk_c6) = sk_c10
| multiply(sk_c10,sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c6
| multiply(sk_c10,sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c1,sk_c10) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( inverse(sk_c9) = sk_c8
| multiply(sk_c1,sk_c10) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( inverse(sk_c5) = sk_c9
| multiply(sk_c1,sk_c10) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| multiply(sk_c1,sk_c10) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c1,sk_c10) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
( inverse(sk_c6) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c6
| multiply(sk_c1,sk_c10) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
( inverse(sk_c9) = sk_c8
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
( inverse(sk_c5) = sk_c9
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
( inverse(sk_c6) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c6
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c8
| multiply(sk_c3,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c3,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c3,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
( inverse(sk_c9) = sk_c8
| multiply(sk_c3,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c3,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
( inverse(sk_c5) = sk_c9
| multiply(sk_c3,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| multiply(sk_c3,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,negated_conjecture,
( inverse(sk_c9) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f59,negated_conjecture,
( inverse(sk_c5) = sk_c9
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f60,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f61,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f62,negated_conjecture,
( inverse(sk_c6) = sk_c10
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f63,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c6
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f64,negated_conjecture,
! [X4,X5,X6,X1,X2,X3,X7] :
( multiply(X3,sk_c10) != X7
| inverse(X7) != sk_c10
| inverse(X3) != X7
| multiply(X2,sk_c8) != sk_c9
| inverse(X2) != sk_c9
| multiply(sk_c10,sk_c8) != sk_c9
| inverse(sk_c9) != sk_c8
| inverse(X1) != sk_c10
| multiply(X1,sk_c10) != sk_c9
| multiply(sk_c9,sk_c10) != sk_c8
| inverse(X6) != sk_c8
| multiply(X6,sk_c8) != sk_c10
| inverse(X5) != sk_c10
| multiply(X5,sk_c10) != X4
| multiply(sk_c10,X4) != sk_c9
| multiply(sk_c8,sk_c10) != sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f65,plain,
! [X0] : multiply(identity,X0) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f66,plain,
! [X0] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f67,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f68,plain,
( multiply(sk_c9,sk_c10) = sk_c8
| multiply(sk_c8,sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f71,plain,
( inverse(sk_c9) = sk_c8
| multiply(sk_c8,sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f72,plain,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c8,sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f73,plain,
( inverse(sk_c5) = sk_c9
| multiply(sk_c8,sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f74,plain,
( multiply(sk_c5,sk_c8) = sk_c9
| multiply(sk_c8,sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f79,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c10,sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f80,plain,
( inverse(sk_c4) = sk_c10
| multiply(sk_c10,sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f81,plain,
( inverse(sk_c9) = sk_c8
| multiply(sk_c10,sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f82,plain,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c10,sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f83,plain,
( inverse(sk_c5) = sk_c9
| multiply(sk_c10,sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f84,plain,
( multiply(sk_c5,sk_c8) = sk_c9
| multiply(sk_c10,sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f85,plain,
( inverse(sk_c7) = sk_c6
| multiply(sk_c10,sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f86,plain,
( inverse(sk_c6) = sk_c10
| multiply(sk_c10,sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f87,plain,
( multiply(sk_c7,sk_c10) = sk_c6
| multiply(sk_c10,sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f89,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c1,sk_c10) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f90,plain,
( inverse(sk_c4) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f91,plain,
( inverse(sk_c9) = sk_c8
| multiply(sk_c1,sk_c10) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f93,plain,
( inverse(sk_c5) = sk_c9
| multiply(sk_c1,sk_c10) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f94,plain,
( multiply(sk_c5,sk_c8) = sk_c9
| multiply(sk_c1,sk_c10) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f95,plain,
( inverse(sk_c7) = sk_c6
| multiply(sk_c1,sk_c10) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f96,plain,
( inverse(sk_c6) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f97,plain,
( multiply(sk_c7,sk_c10) = sk_c6
| multiply(sk_c1,sk_c10) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f99,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f100,plain,
( inverse(sk_c4) = sk_c10
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f101,plain,
( inverse(sk_c9) = sk_c8
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f103,plain,
( inverse(sk_c5) = sk_c9
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f104,plain,
( multiply(sk_c5,sk_c8) = sk_c9
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f105,plain,
( inverse(sk_c7) = sk_c6
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f106,plain,
( inverse(sk_c6) = sk_c10
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f107,plain,
( multiply(sk_c7,sk_c10) = sk_c6
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f108,plain,
( multiply(sk_c9,sk_c10) = sk_c8
| multiply(sk_c3,sk_c8) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f109,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c3,sk_c8) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f110,plain,
( inverse(sk_c4) = sk_c10
| multiply(sk_c3,sk_c8) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f111,plain,
( inverse(sk_c9) = sk_c8
| multiply(sk_c3,sk_c8) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f112,plain,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c3,sk_c8) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f113,plain,
( inverse(sk_c5) = sk_c9
| multiply(sk_c3,sk_c8) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f114,plain,
( multiply(sk_c5,sk_c8) = sk_c9
| multiply(sk_c3,sk_c8) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f118,plain,
( multiply(sk_c9,sk_c10) = sk_c8
| inverse(sk_c3) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f119,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c3) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f120,plain,
( inverse(sk_c4) = sk_c10
| inverse(sk_c3) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f121,plain,
( inverse(sk_c9) = sk_c8
| inverse(sk_c3) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f122,plain,
( multiply(sk_c10,sk_c8) = sk_c9
| inverse(sk_c3) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f123,plain,
( inverse(sk_c5) = sk_c9
| inverse(sk_c3) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f124,plain,
( multiply(sk_c5,sk_c8) = sk_c9
| inverse(sk_c3) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f125,plain,
( inverse(sk_c7) = sk_c6
| inverse(sk_c3) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f126,plain,
( inverse(sk_c6) = sk_c10
| inverse(sk_c3) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f127,plain,
( multiply(sk_c7,sk_c10) = sk_c6
| inverse(sk_c3) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f128,plain,
! [X3,X7] :
( multiply(X3,sk_c10) != X7
| inverse(X7) != sk_c10
| inverse(X3) != X7
| ! [X2] :
( multiply(X2,sk_c8) != sk_c9
| inverse(X2) != sk_c9
| multiply(sk_c10,sk_c8) != sk_c9
| inverse(sk_c9) != sk_c8
| ! [X1] :
( inverse(X1) != sk_c10
| multiply(X1,sk_c10) != sk_c9
| multiply(sk_c9,sk_c10) != sk_c8
| ! [X6] :
( inverse(X6) != sk_c8
| multiply(X6,sk_c8) != sk_c10
| ! [X5] :
( inverse(X5) != sk_c10
| ! [X4] :
( multiply(X5,sk_c10) != X4
| multiply(sk_c10,X4) != sk_c9
| multiply(sk_c8,sk_c10) != sk_c9 ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f64]) ).
fof(f129,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( multiply(X5,sk_c10) != X6
| inverse(X6) != sk_c10
| inverse(X5) != X6
| multiply(X4,sk_c8) != sk_c9
| inverse(X4) != sk_c9
| multiply(sk_c10,sk_c8) != sk_c9
| inverse(sk_c9) != sk_c8
| inverse(X3) != sk_c10
| multiply(X3,sk_c10) != sk_c9
| multiply(sk_c9,sk_c10) != sk_c8
| inverse(X2) != sk_c8
| multiply(X2,sk_c8) != sk_c10
| inverse(X1) != sk_c10
| multiply(X1,sk_c10) != X0
| multiply(sk_c10,X0) != sk_c9
| multiply(sk_c8,sk_c10) != sk_c9 ),
inference(cnf_transformation,[status(thm)],[f128]) ).
fof(f130,definition,
( sQ0_spl
<=> multiply(sk_c8,sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f131,plain,
( ~ sQ0_spl
| multiply(sk_c8,sk_c10) = sk_c9 ),
inference(component_clause,[status(thm)],[f130]) ).
fof(f132,plain,
( sQ0_spl
| multiply(sk_c8,sk_c10) != sk_c9 ),
inference(component_clause,[status(thm)],[f130]) ).
fof(f133,definition,
( sQ1_spl
<=> multiply(sk_c9,sk_c10) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f134,plain,
( ~ sQ1_spl
| multiply(sk_c9,sk_c10) = sk_c8 ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f135,plain,
( sQ1_spl
| multiply(sk_c9,sk_c10) != sk_c8 ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f136,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f68,f130,f133]) ).
fof(f137,definition,
( sQ2_spl
<=> multiply(sk_c4,sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f138,plain,
( ~ sQ2_spl
| multiply(sk_c4,sk_c10) = sk_c9 ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f141,definition,
( sQ3_spl
<=> inverse(sk_c4) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f142,plain,
( ~ sQ3_spl
| inverse(sk_c4) = sk_c10 ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f145,definition,
( sQ4_spl
<=> inverse(sk_c9) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f146,plain,
( ~ sQ4_spl
| inverse(sk_c9) = sk_c8 ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f147,plain,
( sQ4_spl
| inverse(sk_c9) != sk_c8 ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f148,plain,
( sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f71,f130,f145]) ).
fof(f149,definition,
( sQ5_spl
<=> multiply(sk_c10,sk_c8) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f150,plain,
( ~ sQ5_spl
| multiply(sk_c10,sk_c8) = sk_c9 ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f151,plain,
( sQ5_spl
| multiply(sk_c10,sk_c8) != sk_c9 ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f152,plain,
( sQ5_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f72,f130,f149]) ).
fof(f153,definition,
( sQ6_spl
<=> inverse(sk_c5) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f154,plain,
( ~ sQ6_spl
| inverse(sk_c5) = sk_c9 ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f156,plain,
( sQ6_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f73,f130,f153]) ).
fof(f157,definition,
( sQ7_spl
<=> multiply(sk_c5,sk_c8) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f158,plain,
( ~ sQ7_spl
| multiply(sk_c5,sk_c8) = sk_c9 ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f160,plain,
( sQ7_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f74,f130,f157]) ).
fof(f161,definition,
( sQ8_spl
<=> inverse(sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f162,plain,
( ~ sQ8_spl
| inverse(sk_c7) = sk_c6 ),
inference(component_clause,[status(thm)],[f161]) ).
fof(f165,definition,
( sQ9_spl
<=> inverse(sk_c6) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f166,plain,
( ~ sQ9_spl
| inverse(sk_c6) = sk_c10 ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f169,definition,
( sQ10_spl
<=> multiply(sk_c7,sk_c10) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f170,plain,
( ~ sQ10_spl
| multiply(sk_c7,sk_c10) = sk_c6 ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f173,definition,
( sQ11_spl
<=> multiply(sk_c10,sk_c2) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f174,plain,
( ~ sQ11_spl
| multiply(sk_c10,sk_c2) = sk_c9 ),
inference(component_clause,[status(thm)],[f173]) ).
fof(f177,plain,
( sQ2_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f79,f173,f137]) ).
fof(f178,plain,
( sQ3_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f80,f173,f141]) ).
fof(f179,plain,
( sQ4_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f81,f173,f145]) ).
fof(f180,plain,
( sQ5_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f82,f173,f149]) ).
fof(f181,plain,
( sQ6_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f83,f173,f153]) ).
fof(f182,plain,
( sQ7_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f84,f173,f157]) ).
fof(f183,plain,
( sQ8_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f85,f173,f161]) ).
fof(f184,plain,
( sQ9_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f86,f173,f165]) ).
fof(f185,plain,
( sQ10_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f87,f173,f169]) ).
fof(f186,definition,
( sQ12_spl
<=> multiply(sk_c1,sk_c10) = sk_c2 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f187,plain,
( ~ sQ12_spl
| multiply(sk_c1,sk_c10) = sk_c2 ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f190,plain,
( sQ2_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f89,f186,f137]) ).
fof(f191,plain,
( sQ3_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f90,f186,f141]) ).
fof(f192,plain,
( sQ4_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f91,f186,f145]) ).
fof(f194,plain,
( sQ6_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f93,f186,f153]) ).
fof(f195,plain,
( sQ7_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f94,f186,f157]) ).
fof(f196,plain,
( sQ8_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f95,f186,f161]) ).
fof(f197,plain,
( sQ9_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f96,f186,f165]) ).
fof(f198,plain,
( sQ10_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f97,f186,f169]) ).
fof(f199,definition,
( sQ13_spl
<=> inverse(sk_c1) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f200,plain,
( ~ sQ13_spl
| inverse(sk_c1) = sk_c10 ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f203,plain,
( sQ2_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f99,f199,f137]) ).
fof(f204,plain,
( sQ3_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f100,f199,f141]) ).
fof(f205,plain,
( sQ4_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f101,f199,f145]) ).
fof(f207,plain,
( sQ6_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f103,f199,f153]) ).
fof(f208,plain,
( sQ7_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f104,f199,f157]) ).
fof(f209,plain,
( sQ8_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f105,f199,f161]) ).
fof(f210,plain,
( sQ9_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f106,f199,f165]) ).
fof(f211,plain,
( sQ10_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f107,f199,f169]) ).
fof(f212,definition,
( sQ14_spl
<=> multiply(sk_c3,sk_c8) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f213,plain,
( ~ sQ14_spl
| multiply(sk_c3,sk_c8) = sk_c10 ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f214,plain,
( sQ14_spl
| multiply(sk_c3,sk_c8) != sk_c10 ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,plain,
( sQ1_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f108,f212,f133]) ).
fof(f216,plain,
( sQ2_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f109,f212,f137]) ).
fof(f217,plain,
( sQ3_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f110,f212,f141]) ).
fof(f218,plain,
( sQ4_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f111,f212,f145]) ).
fof(f219,plain,
( sQ5_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f112,f212,f149]) ).
fof(f220,plain,
( sQ6_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f113,f212,f153]) ).
fof(f221,plain,
( sQ7_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f114,f212,f157]) ).
fof(f225,definition,
( sQ15_spl
<=> inverse(sk_c3) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f226,plain,
( ~ sQ15_spl
| inverse(sk_c3) = sk_c8 ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f228,plain,
( sQ1_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f118,f225,f133]) ).
fof(f229,plain,
( sQ2_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f119,f225,f137]) ).
fof(f230,plain,
( sQ3_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f120,f225,f141]) ).
fof(f231,plain,
( sQ4_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f121,f225,f145]) ).
fof(f232,plain,
( sQ5_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f122,f225,f149]) ).
fof(f233,plain,
( sQ6_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f123,f225,f153]) ).
fof(f234,plain,
( sQ7_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f124,f225,f157]) ).
fof(f235,plain,
( sQ8_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f125,f225,f161]) ).
fof(f236,plain,
( sQ9_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f126,f225,f165]) ).
fof(f237,plain,
( sQ10_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f127,f225,f169]) ).
fof(f238,definition,
! [X0,X1] :
( sQ16_spl
<=> ( inverse(X1) != sk_c10
| multiply(X1,sk_c10) != X0
| multiply(sk_c10,X0) != sk_c9 ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f239,plain,
! [X0,X1] :
( ~ sQ16_spl
| inverse(X1) != sk_c10
| multiply(X1,sk_c10) != X0
| multiply(sk_c10,X0) != sk_c9 ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f241,definition,
! [X2] :
( sQ17_spl
<=> ( inverse(X2) != sk_c8
| multiply(X2,sk_c8) != sk_c10 ) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f242,plain,
! [X0] :
( ~ sQ17_spl
| inverse(X0) != sk_c8
| multiply(X0,sk_c8) != sk_c10 ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,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(f245,plain,
! [X0] :
( ~ sQ18_spl
| inverse(X0) != sk_c10
| multiply(X0,sk_c10) != sk_c9 ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,definition,
! [X4] :
( sQ19_spl
<=> ( multiply(X4,sk_c8) != sk_c9
| inverse(X4) != sk_c9 ) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f248,plain,
! [X0] :
( ~ sQ19_spl
| multiply(X0,sk_c8) != sk_c9
| inverse(X0) != sk_c9 ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f250,definition,
! [X5,X6] :
( sQ20_spl
<=> ( multiply(X5,sk_c10) != X6
| inverse(X6) != sk_c10
| inverse(X5) != X6 ) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f251,plain,
! [X0,X1] :
( ~ sQ20_spl
| multiply(X0,sk_c10) != X1
| inverse(X1) != sk_c10
| inverse(X0) != X1 ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f253,plain,
( sQ20_spl
| sQ19_spl
| ~ sQ5_spl
| ~ sQ4_spl
| sQ18_spl
| ~ sQ1_spl
| sQ17_spl
| sQ16_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f129,f130,f238,f241,f133,f244,f145,f149,f247,f250]) ).
fof(f254,plain,
! [X0] :
( ~ sQ20_spl
| multiply(X0,sk_c10) != inverse(X0)
| inverse(inverse(X0)) != sk_c10 ),
inference(destructive_equality_resolution,[status(thm)],[f251]) ).
fof(f256,plain,
! [X0] :
( ~ sQ14_spl
| multiply(sk_c10,X0) = multiply(sk_c3,multiply(sk_c8,X0)) ),
inference(paramodulation,[status(thm)],[f213,f67]) ).
fof(f259,plain,
! [X0] :
( ~ sQ12_spl
| multiply(sk_c2,X0) = multiply(sk_c1,multiply(sk_c10,X0)) ),
inference(paramodulation,[status(thm)],[f187,f67]) ).
fof(f261,plain,
( ~ sQ6_spl
| multiply(sk_c9,sk_c5) = identity ),
inference(paramodulation,[status(thm)],[f154,f66]) ).
fof(f262,plain,
( ~ sQ8_spl
| multiply(sk_c6,sk_c7) = identity ),
inference(paramodulation,[status(thm)],[f162,f66]) ).
fof(f264,plain,
( ~ sQ13_spl
| multiply(sk_c10,sk_c1) = identity ),
inference(paramodulation,[status(thm)],[f200,f66]) ).
fof(f265,plain,
( ~ sQ15_spl
| multiply(sk_c8,sk_c3) = identity ),
inference(paramodulation,[status(thm)],[f226,f66]) ).
fof(f266,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f66,f67]) ).
fof(f267,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f65,f266]) ).
fof(f268,plain,
! [X0] :
( ~ sQ11_spl
| multiply(sk_c9,X0) = multiply(sk_c10,multiply(sk_c2,X0)) ),
inference(paramodulation,[status(thm)],[f174,f67]) ).
fof(f270,plain,
( ~ sQ3_spl
| multiply(sk_c10,sk_c4) = identity ),
inference(paramodulation,[status(thm)],[f142,f66]) ).
fof(f271,plain,
! [X0] :
( ~ sQ7_spl
| multiply(sk_c9,X0) = multiply(sk_c5,multiply(sk_c8,X0)) ),
inference(paramodulation,[status(thm)],[f158,f67]) ).
fof(f272,plain,
! [X0] :
( ~ sQ2_spl
| multiply(sk_c9,X0) = multiply(sk_c4,multiply(sk_c10,X0)) ),
inference(paramodulation,[status(thm)],[f138,f67]) ).
fof(f273,plain,
! [X0] :
( ~ sQ0_spl
| multiply(sk_c9,X0) = multiply(sk_c8,multiply(sk_c10,X0)) ),
inference(paramodulation,[status(thm)],[f131,f67]) ).
fof(f274,plain,
( ~ sQ3_spl
| ~ sQ20_spl
| multiply(sk_c4,sk_c10) != inverse(sk_c4)
| inverse(sk_c10) != sk_c10 ),
inference(paramodulation,[status(thm)],[f142,f254]) ).
fof(f276,plain,
( ~ sQ8_spl
| ~ sQ20_spl
| multiply(sk_c7,sk_c10) != inverse(sk_c7)
| inverse(sk_c6) != sk_c10 ),
inference(paramodulation,[status(thm)],[f162,f254]) ).
fof(f277,plain,
( ~ sQ9_spl
| ~ sQ20_spl
| multiply(sk_c6,sk_c10) != inverse(sk_c6)
| inverse(sk_c10) != sk_c10 ),
inference(paramodulation,[status(thm)],[f166,f254]) ).
fof(f278,plain,
( ~ sQ13_spl
| ~ sQ20_spl
| multiply(sk_c1,sk_c10) != inverse(sk_c1)
| inverse(sk_c10) != sk_c10 ),
inference(paramodulation,[status(thm)],[f200,f254]) ).
fof(f279,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| multiply(sk_c3,sk_c10) != inverse(sk_c3)
| inverse(sk_c8) != sk_c10 ),
inference(paramodulation,[status(thm)],[f226,f254]) ).
fof(f280,definition,
( sQ21_spl
<=> inverse(sk_c10) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f282,plain,
( sQ21_spl
| inverse(sk_c10) != sk_c10 ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f283,definition,
( sQ22_spl
<=> multiply(sk_c4,sk_c10) = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f286,plain,
( ~ sQ3_spl
| ~ sQ20_spl
| ~ sQ22_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f274,f280,f283,f250,f141]) ).
fof(f294,definition,
( sQ25_spl
<=> multiply(sk_c7,sk_c10) = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f296,plain,
( sQ25_spl
| multiply(sk_c7,sk_c10) != inverse(sk_c7) ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f297,plain,
( ~ sQ8_spl
| ~ sQ20_spl
| ~ sQ25_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f276,f165,f294,f250,f161]) ).
fof(f298,definition,
( sQ26_spl
<=> multiply(sk_c6,sk_c10) = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f301,plain,
( ~ sQ9_spl
| ~ sQ20_spl
| ~ sQ26_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f277,f280,f298,f250,f165]) ).
fof(f302,definition,
( sQ27_spl
<=> multiply(sk_c1,sk_c10) = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f304,plain,
( sQ27_spl
| multiply(sk_c1,sk_c10) != inverse(sk_c1) ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f305,plain,
( ~ sQ13_spl
| ~ sQ20_spl
| ~ sQ27_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f278,f280,f302,f250,f199]) ).
fof(f306,definition,
( sQ28_spl
<=> inverse(sk_c8) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f308,plain,
( sQ28_spl
| inverse(sk_c8) != sk_c10 ),
inference(component_clause,[status(thm)],[f306]) ).
fof(f309,definition,
( sQ29_spl
<=> multiply(sk_c3,sk_c10) = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f311,plain,
( sQ29_spl
| multiply(sk_c3,sk_c10) != inverse(sk_c3) ),
inference(component_clause,[status(thm)],[f309]) ).
fof(f312,plain,
( ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ29_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f279,f306,f309,f250,f225]) ).
fof(f313,plain,
( sQ29_spl
| ~ sQ15_spl
| multiply(sk_c3,sk_c10) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f226,f311]) ).
fof(f314,plain,
( sQ27_spl
| ~ sQ12_spl
| sk_c2 != inverse(sk_c1) ),
inference(forward_demodulation,[status(thm)],[f187,f304]) ).
fof(f315,plain,
( sQ27_spl
| ~ sQ12_spl
| ~ sQ13_spl
| sk_c2 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f200,f314]) ).
fof(f316,plain,
( sQ25_spl
| ~ sQ10_spl
| sk_c6 != inverse(sk_c7) ),
inference(forward_demodulation,[status(thm)],[f170,f296]) ).
fof(f319,plain,
( ~ sQ7_spl
| ~ sQ19_spl
| sk_c9 != sk_c9
| inverse(sk_c5) != sk_c9 ),
inference(paramodulation,[status(thm)],[f158,f248]) ).
fof(f320,plain,
( ~ sQ19_spl
| identity != sk_c9
| inverse(inverse(sk_c8)) != sk_c9 ),
inference(paramodulation,[status(thm)],[f66,f248]) ).
fof(f321,plain,
( ~ sQ19_spl
| sk_c8 != sk_c9
| inverse(identity) != sk_c9 ),
inference(paramodulation,[status(thm)],[f65,f248]) ).
fof(f323,plain,
( ~ sQ14_spl
| ~ sQ19_spl
| sk_c10 != sk_c9
| inverse(sk_c3) != sk_c9 ),
inference(paramodulation,[status(thm)],[f213,f248]) ).
fof(f324,definition,
( sQ30_spl
<=> sk_c9 = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f326,plain,
( sQ30_spl
| sk_c9 != sk_c9 ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f327,plain,
( ~ sQ7_spl
| ~ sQ19_spl
| ~ sQ30_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f319,f153,f324,f247,f157]) ).
fof(f328,definition,
( sQ31_spl
<=> inverse(inverse(sk_c8)) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f330,plain,
( sQ31_spl
| inverse(inverse(sk_c8)) != sk_c9 ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f331,definition,
( sQ32_spl
<=> identity = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f333,plain,
( sQ32_spl
| identity != sk_c9 ),
inference(component_clause,[status(thm)],[f331]) ).
fof(f334,plain,
( ~ sQ19_spl
| ~ sQ32_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f320,f328,f331,f247]) ).
fof(f335,definition,
( sQ33_spl
<=> inverse(identity) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f338,definition,
( sQ34_spl
<=> sk_c8 = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f340,plain,
( sQ34_spl
| sk_c8 != sk_c9 ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f341,plain,
( ~ sQ19_spl
| ~ sQ34_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f321,f335,f338,f247]) ).
fof(f342,definition,
( sQ35_spl
<=> inverse(sk_c3) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f344,plain,
( sQ35_spl
| inverse(sk_c3) != sk_c9 ),
inference(component_clause,[status(thm)],[f342]) ).
fof(f345,definition,
( sQ36_spl
<=> sk_c10 = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f348,plain,
( ~ sQ14_spl
| ~ sQ19_spl
| ~ sQ36_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f323,f342,f345,f247,f212]) ).
fof(f349,plain,
( sQ35_spl
| ~ sQ15_spl
| sk_c8 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f226,f344]) ).
fof(f350,plain,
( sQ30_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f326]) ).
fof(f351,plain,
sQ30_spl,
inference(contradiction_clause,[status(thm)],[f350]) ).
fof(f352,plain,
! [X0] :
( ~ sQ16_spl
| inverse(X0) != sk_c10
| multiply(sk_c10,multiply(X0,sk_c10)) != sk_c9 ),
inference(destructive_equality_resolution,[status(thm)],[f239]) ).
fof(f355,plain,
( ~ sQ0_spl
| ~ sQ18_spl
| inverse(sk_c8) != sk_c10
| sk_c9 != sk_c9 ),
inference(paramodulation,[status(thm)],[f131,f245]) ).
fof(f356,plain,
( ~ sQ2_spl
| ~ sQ18_spl
| inverse(sk_c4) != sk_c10
| sk_c9 != sk_c9 ),
inference(paramodulation,[status(thm)],[f138,f245]) ).
fof(f360,plain,
( ~ sQ12_spl
| ~ sQ18_spl
| inverse(sk_c1) != sk_c10
| sk_c2 != sk_c9 ),
inference(paramodulation,[status(thm)],[f187,f245]) ).
fof(f362,plain,
( ~ sQ0_spl
| ~ sQ18_spl
| ~ sQ28_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f355,f324,f306,f244,f130]) ).
fof(f363,plain,
( ~ sQ2_spl
| ~ sQ18_spl
| ~ sQ3_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f356,f324,f141,f244,f137]) ).
fof(f367,definition,
( sQ38_spl
<=> inverse(sk_c7) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f369,plain,
( sQ38_spl
| inverse(sk_c7) != sk_c10 ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f371,definition,
( sQ39_spl
<=> inverse(inverse(sk_c10)) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f373,plain,
( sQ39_spl
| inverse(inverse(sk_c10)) != sk_c10 ),
inference(component_clause,[status(thm)],[f371]) ).
fof(f375,definition,
( sQ40_spl
<=> inverse(identity) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f379,definition,
( sQ41_spl
<=> sk_c2 = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f380,plain,
( ~ sQ41_spl
| sk_c2 = sk_c9 ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f381,plain,
( sQ41_spl
| sk_c2 != sk_c9 ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,plain,
( ~ sQ12_spl
| ~ sQ18_spl
| ~ sQ13_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f360,f379,f199,f244,f186]) ).
fof(f383,plain,
( ~ sQ14_spl
| ~ sQ17_spl
| inverse(sk_c3) != sk_c8 ),
inference(resolution,[status(thm)],[f242,f213]) ).
fof(f388,plain,
( ~ sQ14_spl
| ~ sQ17_spl
| ~ sQ15_spl
| sk_c8 != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f226,f383]) ).
fof(f389,plain,
( ~ sQ14_spl
| ~ sQ17_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f388]) ).
fof(f390,plain,
( ~ sQ14_spl
| ~ sQ17_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f389]) ).
fof(f392,plain,
( ~ sQ8_spl
| sQ25_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f162,f316]) ).
fof(f393,plain,
( ~ sQ8_spl
| sQ25_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f392]) ).
fof(f397,plain,
( sQ38_spl
| ~ sQ8_spl
| sk_c6 != sk_c10 ),
inference(backward_demodulation,[status(thm)],[f162,f369]) ).
fof(f399,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| inverse(sk_c4) != sk_c10
| multiply(sk_c10,sk_c9) != sk_c9 ),
inference(paramodulation,[status(thm)],[f138,f352]) ).
fof(f400,plain,
( ~ sQ10_spl
| ~ sQ16_spl
| inverse(sk_c7) != sk_c10
| multiply(sk_c10,sk_c6) != sk_c9 ),
inference(paramodulation,[status(thm)],[f170,f352]) ).
fof(f401,plain,
( ~ sQ16_spl
| inverse(inverse(sk_c10)) != sk_c10
| multiply(sk_c10,identity) != sk_c9 ),
inference(paramodulation,[status(thm)],[f66,f352]) ).
fof(f402,plain,
( ~ sQ16_spl
| inverse(identity) != sk_c10
| multiply(sk_c10,sk_c10) != sk_c9 ),
inference(paramodulation,[status(thm)],[f65,f352]) ).
fof(f404,definition,
( sQ42_spl
<=> multiply(sk_c10,sk_c9) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f406,plain,
( sQ42_spl
| multiply(sk_c10,sk_c9) != sk_c9 ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f407,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| ~ sQ3_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f399,f404,f141,f238,f137]) ).
fof(f408,definition,
( sQ43_spl
<=> multiply(sk_c10,sk_c6) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f410,plain,
( sQ43_spl
| multiply(sk_c10,sk_c6) != sk_c9 ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,plain,
( ~ sQ10_spl
| ~ sQ16_spl
| ~ sQ38_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f400,f408,f367,f238,f169]) ).
fof(f412,definition,
( sQ44_spl
<=> multiply(sk_c10,identity) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f414,plain,
( sQ44_spl
| multiply(sk_c10,identity) != sk_c9 ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f415,plain,
( ~ sQ16_spl
| ~ sQ39_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f401,f412,f371,f238]) ).
fof(f416,definition,
( sQ45_spl
<=> multiply(sk_c10,sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f419,plain,
( ~ sQ16_spl
| ~ sQ40_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f402,f416,f375,f238]) ).
fof(f421,plain,
! [X0] :
( ~ sQ1_spl
| multiply(sk_c8,X0) = multiply(sk_c9,multiply(sk_c10,X0)) ),
inference(paramodulation,[status(thm)],[f134,f67]) ).
fof(f422,plain,
( ~ sQ4_spl
| multiply(sk_c8,sk_c9) = identity ),
inference(paramodulation,[status(thm)],[f146,f66]) ).
fof(f423,plain,
! [X0] :
( ~ sQ5_spl
| multiply(sk_c9,X0) = multiply(sk_c10,multiply(sk_c8,X0)) ),
inference(paramodulation,[status(thm)],[f150,f67]) ).
fof(f428,plain,
! [X0] :
( ~ sQ15_spl
| multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0)) ),
inference(paramodulation,[status(thm)],[f265,f67]) ).
fof(f429,plain,
! [X0] :
( ~ sQ15_spl
| X0 = multiply(sk_c8,multiply(sk_c3,X0)) ),
inference(forward_demodulation,[status(thm)],[f65,f428]) ).
fof(f430,plain,
! [X0] :
( ~ sQ8_spl
| multiply(identity,X0) = multiply(sk_c6,multiply(sk_c7,X0)) ),
inference(paramodulation,[status(thm)],[f262,f67]) ).
fof(f431,plain,
! [X0] :
( ~ sQ8_spl
| X0 = multiply(sk_c6,multiply(sk_c7,X0)) ),
inference(forward_demodulation,[status(thm)],[f65,f430]) ).
fof(f434,plain,
! [X0] :
( ~ sQ6_spl
| multiply(identity,X0) = multiply(sk_c9,multiply(sk_c5,X0)) ),
inference(paramodulation,[status(thm)],[f261,f67]) ).
fof(f435,plain,
! [X0] :
( ~ sQ6_spl
| X0 = multiply(sk_c9,multiply(sk_c5,X0)) ),
inference(forward_demodulation,[status(thm)],[f65,f434]) ).
fof(f438,plain,
! [X0] :
( ~ sQ4_spl
| multiply(identity,X0) = multiply(sk_c8,multiply(sk_c9,X0)) ),
inference(paramodulation,[status(thm)],[f422,f67]) ).
fof(f439,plain,
! [X0] :
( ~ sQ4_spl
| X0 = multiply(sk_c8,multiply(sk_c9,X0)) ),
inference(forward_demodulation,[status(thm)],[f65,f438]) ).
fof(f462,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ7_spl
| multiply(sk_c9,multiply(sk_c3,X0)) = multiply(sk_c5,X0) ),
inference(paramodulation,[status(thm)],[f429,f271]) ).
fof(f470,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| multiply(sk_c8,sk_c4) = multiply(sk_c9,identity) ),
inference(paramodulation,[status(thm)],[f270,f421]) ).
fof(f471,plain,
( ~ sQ5_spl
| ~ sQ1_spl
| multiply(sk_c8,sk_c8) = multiply(sk_c9,sk_c9) ),
inference(paramodulation,[status(thm)],[f150,f421]) ).
fof(f475,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ5_spl
| multiply(sk_c9,multiply(sk_c3,X0)) = multiply(sk_c10,X0) ),
inference(paramodulation,[status(thm)],[f429,f423]) ).
fof(f476,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| multiply(sk_c9,sk_c9) = multiply(sk_c10,identity) ),
inference(paramodulation,[status(thm)],[f422,f423]) ).
fof(f477,plain,
( ~ sQ15_spl
| ~ sQ5_spl
| multiply(sk_c9,sk_c3) = multiply(sk_c10,identity) ),
inference(paramodulation,[status(thm)],[f265,f423]) ).
fof(f486,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ15_spl
| ~ sQ5_spl
| ~ sQ7_spl
| X0 = multiply(sk_c9,multiply(sk_c10,X0)) ),
inference(backward_demodulation,[status(thm)],[f487,f435]) ).
fof(f487,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ5_spl
| ~ sQ7_spl
| multiply(sk_c5,X0) = multiply(sk_c10,X0) ),
inference(forward_demodulation,[status(thm)],[f462,f475]) ).
fof(f494,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ1_spl
| X0 = multiply(sk_c3,X0) ),
inference(backward_demodulation,[status(thm)],[f506,f429]) ).
fof(f498,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ15_spl
| ~ sQ7_spl
| ~ sQ1_spl
| multiply(sk_c9,X0) = multiply(sk_c10,X0) ),
inference(backward_demodulation,[status(thm)],[f506,f423]) ).
fof(f503,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ6_spl
| ~ sQ15_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ1_spl
| X0 = multiply(sk_c9,X0) ),
inference(backward_demodulation,[status(thm)],[f506,f439]) ).
fof(f506,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ15_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ1_spl
| X0 = multiply(sk_c8,X0) ),
inference(forward_demodulation,[status(thm)],[f421,f486]) ).
fof(f509,plain,
( sQ14_spl
| ~ sQ15_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ1_spl
| sk_c8 != sk_c10 ),
inference(backward_demodulation,[status(thm)],[f494,f214]) ).
fof(f522,plain,
( ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ15_spl
| ~ sQ7_spl
| multiply(sk_c10,sk_c10) = sk_c8 ),
inference(backward_demodulation,[status(thm)],[f498,f134]) ).
fof(f547,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ6_spl
| ~ sQ15_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ1_spl
| X0 = multiply(sk_c10,X0) ),
inference(forward_demodulation,[status(thm)],[f498,f503]) ).
fof(f584,plain,
( ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ15_spl
| ~ sQ7_spl
| ~ sQ4_spl
| sk_c10 = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f547,f522]) ).
fof(f585,plain,
( ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ15_spl
| ~ sQ7_spl
| ~ sQ4_spl
| sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f584,f509]) ).
fof(f586,plain,
( ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ15_spl
| ~ sQ7_spl
| ~ sQ4_spl
| sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f585]) ).
fof(f592,plain,
( ~ sQ0_spl
| ~ sQ16_spl
| inverse(sk_c8) != sk_c10
| multiply(sk_c10,sk_c9) != sk_c9 ),
inference(paramodulation,[status(thm)],[f131,f352]) ).
fof(f594,plain,
( ~ sQ0_spl
| ~ sQ16_spl
| ~ sQ28_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f592,f404,f306,f238,f130]) ).
fof(f618,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ14_spl
| multiply(sk_c10,multiply(sk_c10,X0)) = multiply(sk_c3,multiply(sk_c9,X0)) ),
inference(paramodulation,[status(thm)],[f273,f256]) ).
fof(f628,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| multiply(sk_c2,sk_c1) = multiply(sk_c1,identity) ),
inference(paramodulation,[status(thm)],[f264,f259]) ).
fof(f629,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| multiply(sk_c9,sk_c1) = multiply(sk_c8,identity) ),
inference(paramodulation,[status(thm)],[f264,f273]) ).
fof(f630,plain,
! [X0] :
( ~ sQ13_spl
| multiply(identity,X0) = multiply(sk_c10,multiply(sk_c1,X0)) ),
inference(paramodulation,[status(thm)],[f264,f67]) ).
fof(f631,plain,
! [X0] :
( ~ sQ13_spl
| X0 = multiply(sk_c10,multiply(sk_c1,X0)) ),
inference(forward_demodulation,[status(thm)],[f65,f630]) ).
fof(f645,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ15_spl
| multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c10,X0)) ),
inference(paramodulation,[status(thm)],[f256,f429]) ).
fof(f646,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| sk_c8 = multiply(sk_c8,sk_c10) ),
inference(paramodulation,[status(thm)],[f213,f429]) ).
fof(f649,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ0_spl
| multiply(sk_c9,sk_c3) = identity ),
inference(backward_demodulation,[status(thm)],[f659,f265]) ).
fof(f653,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| ~ sQ15_spl
| multiply(sk_c9,sk_c10) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f659,f131]) ).
fof(f654,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ0_spl
| multiply(sk_c10,X0) = multiply(sk_c3,multiply(sk_c9,X0)) ),
inference(backward_demodulation,[status(thm)],[f659,f256]) ).
fof(f655,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ14_spl
| ~ sQ15_spl
| multiply(sk_c9,sk_c1) = multiply(sk_c9,identity) ),
inference(backward_demodulation,[status(thm)],[f659,f629]) ).
fof(f659,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ0_spl
| multiply(sk_c8,X0) = multiply(sk_c9,X0) ),
inference(forward_demodulation,[status(thm)],[f273,f645]) ).
fof(f660,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ0_spl
| sk_c8 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f131,f646]) ).
fof(f661,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ0_spl
| sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f660,f349]) ).
fof(f662,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ0_spl
| sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f661]) ).
fof(f678,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ1_spl
| sk_c8 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f134,f653]) ).
fof(f679,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ14_spl
| ~ sQ15_spl
| multiply(sk_c10,X0) = multiply(sk_c3,multiply(sk_c9,X0)) ),
inference(backward_demodulation,[status(thm)],[f680,f618]) ).
fof(f680,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ0_spl
| multiply(sk_c10,X0) = multiply(sk_c10,multiply(sk_c10,X0)) ),
inference(forward_demodulation,[status(thm)],[f618,f654]) ).
fof(f684,plain,
( sQ44_spl
| ~ sQ15_spl
| ~ sQ5_spl
| ~ sQ14_spl
| ~ sQ0_spl
| identity != sk_c9 ),
inference(backward_demodulation,[status(thm)],[f685,f414]) ).
fof(f685,plain,
( ~ sQ15_spl
| ~ sQ5_spl
| ~ sQ14_spl
| ~ sQ0_spl
| identity = multiply(sk_c10,identity) ),
inference(forward_demodulation,[status(thm)],[f649,f477]) ).
fof(f692,plain,
( ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ1_spl
| multiply(sk_c10,sk_c9) = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f678,f150]) ).
fof(f693,plain,
( ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ1_spl
| sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f692,f406]) ).
fof(f694,plain,
( ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ1_spl
| sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f693]) ).
fof(f695,plain,
( sQ34_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ0_spl
| sk_c9 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f660,f340]) ).
fof(f696,plain,
( sQ34_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f695]) ).
fof(f697,plain,
( sQ34_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f696]) ).
fof(f699,plain,
( ~ sQ4_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ0_spl
| inverse(sk_c9) = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f660,f146]) ).
fof(f709,plain,
( sQ29_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ0_spl
| multiply(sk_c3,sk_c10) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f660,f313]) ).
fof(f710,plain,
( sQ31_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ0_spl
| inverse(inverse(sk_c9)) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f660,f330]) ).
fof(f711,plain,
( sQ31_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ0_spl
| ~ sQ4_spl
| inverse(sk_c9) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f699,f710]) ).
fof(f712,plain,
( sQ31_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ0_spl
| ~ sQ4_spl
| sk_c9 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f699,f711]) ).
fof(f713,plain,
( sQ31_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ0_spl
| ~ sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f712]) ).
fof(f714,plain,
( sQ31_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ0_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f713]) ).
fof(f715,plain,
( sQ28_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ0_spl
| inverse(sk_c9) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f660,f308]) ).
fof(f728,plain,
( sQ5_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ0_spl
| multiply(sk_c10,sk_c9) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f660,f151]) ).
fof(f740,plain,
( ~ sQ13_spl
| ~ sQ2_spl
| multiply(sk_c9,sk_c1) = multiply(sk_c4,identity) ),
inference(paramodulation,[status(thm)],[f264,f272]) ).
fof(f757,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ0_spl
| multiply(sk_c10,sk_c1) = multiply(sk_c10,identity) ),
inference(paramodulation,[status(thm)],[f264,f680]) ).
fof(f760,plain,
( ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ0_spl
| multiply(sk_c10,sk_c2) = multiply(sk_c10,sk_c9) ),
inference(paramodulation,[status(thm)],[f174,f680]) ).
fof(f763,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ0_spl
| ~ sQ12_spl
| multiply(sk_c2,multiply(sk_c10,X0)) = multiply(sk_c1,multiply(sk_c10,X0)) ),
inference(paramodulation,[status(thm)],[f680,f259]) ).
fof(f766,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ0_spl
| identity = multiply(sk_c10,identity) ),
inference(forward_demodulation,[status(thm)],[f264,f757]) ).
fof(f768,plain,
( ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ0_spl
| sk_c9 = multiply(sk_c10,sk_c9) ),
inference(forward_demodulation,[status(thm)],[f174,f760]) ).
fof(f769,plain,
( ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ0_spl
| sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f768,f728]) ).
fof(f770,plain,
( ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ0_spl
| sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f769]) ).
fof(f772,plain,
( ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ4_spl
| multiply(sk_c8,sk_c8) = multiply(sk_c10,identity) ),
inference(forward_demodulation,[status(thm)],[f476,f471]) ).
fof(f795,plain,
( ~ sQ1_spl
| sk_c10 = multiply(inverse(sk_c9),sk_c8) ),
inference(paramodulation,[status(thm)],[f134,f267]) ).
fof(f796,plain,
( ~ sQ7_spl
| sk_c8 = multiply(inverse(sk_c5),sk_c9) ),
inference(paramodulation,[status(thm)],[f158,f267]) ).
fof(f800,plain,
! [X0] :
( ~ sQ8_spl
| multiply(sk_c7,X0) = multiply(inverse(sk_c6),X0) ),
inference(paramodulation,[status(thm)],[f431,f267]) ).
fof(f801,plain,
( ~ sQ8_spl
| sk_c7 = multiply(inverse(sk_c6),identity) ),
inference(paramodulation,[status(thm)],[f262,f267]) ).
fof(f803,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(paramodulation,[status(thm)],[f267,f267]) ).
fof(f804,plain,
! [X0] : X0 = multiply(inverse(inverse(X0)),identity),
inference(paramodulation,[status(thm)],[f66,f267]) ).
fof(f805,plain,
! [X0] :
( ~ sQ2_spl
| multiply(sk_c10,X0) = multiply(inverse(sk_c4),multiply(sk_c9,X0)) ),
inference(paramodulation,[status(thm)],[f272,f267]) ).
fof(f806,plain,
( ~ sQ2_spl
| sk_c10 = multiply(inverse(sk_c4),sk_c9) ),
inference(paramodulation,[status(thm)],[f138,f267]) ).
fof(f810,plain,
( ~ sQ1_spl
| ~ sQ4_spl
| sk_c10 = multiply(sk_c8,sk_c8) ),
inference(forward_demodulation,[status(thm)],[f146,f795]) ).
fof(f814,plain,
( ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| sk_c10 = multiply(sk_c10,identity) ),
inference(forward_demodulation,[status(thm)],[f772,f810]) ).
fof(f815,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| sk_c8 = multiply(sk_c9,sk_c9) ),
inference(forward_demodulation,[status(thm)],[f154,f796]) ).
fof(f816,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ5_spl
| sk_c8 = multiply(sk_c10,identity) ),
inference(forward_demodulation,[status(thm)],[f476,f815]) ).
fof(f818,plain,
( sQ0_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| multiply(sk_c10,sk_c10) != sk_c9 ),
inference(backward_demodulation,[status(thm)],[f837,f132]) ).
fof(f823,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ1_spl
| multiply(sk_c10,sk_c10) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f837,f150]) ).
fof(f824,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ5_spl
| multiply(sk_c10,sk_c4) = multiply(sk_c9,identity) ),
inference(backward_demodulation,[status(thm)],[f837,f470]) ).
fof(f827,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ1_spl
| X0 = multiply(sk_c10,multiply(sk_c9,X0)) ),
inference(backward_demodulation,[status(thm)],[f837,f439]) ).
fof(f829,plain,
( ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ1_spl
| multiply(sk_c10,sk_c9) = identity ),
inference(backward_demodulation,[status(thm)],[f837,f422]) ).
fof(f837,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sk_c8 = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f814,f816]) ).
fof(f840,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| multiply(sk_c10,sk_c10) = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f844,f170]) ).
fof(f844,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ9_spl
| multiply(sk_c7,X0) = multiply(sk_c10,X0) ),
inference(forward_demodulation,[status(thm)],[f166,f800]) ).
fof(f845,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| sk_c7 = multiply(sk_c10,identity) ),
inference(forward_demodulation,[status(thm)],[f166,f801]) ).
fof(f847,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| inverse(sk_c10) = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f849,f162]) ).
fof(f849,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| sk_c7 = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f814,f845]) ).
fof(f854,plain,
! [X0] : X0 = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f803,f804]) ).
fof(f855,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ3_spl
| multiply(sk_c10,X0) = multiply(sk_c10,multiply(sk_c9,X0)) ),
inference(forward_demodulation,[status(thm)],[f142,f805]) ).
fof(f856,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| sk_c10 = multiply(sk_c10,sk_c9) ),
inference(forward_demodulation,[status(thm)],[f142,f806]) ).
fof(f863,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ1_spl
| sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f823,f818]) ).
fof(f864,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ1_spl
| sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f863]) ).
fof(f865,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ5_spl
| identity = multiply(sk_c9,identity) ),
inference(forward_demodulation,[status(thm)],[f270,f824]) ).
fof(f869,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ5_spl
| X0 = multiply(X0,sk_c9) ),
inference(backward_demodulation,[status(thm)],[f873,f854]) ).
fof(f873,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ5_spl
| identity = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f854,f865]) ).
fof(f882,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| X0 = multiply(sk_c10,X0) ),
inference(forward_demodulation,[status(thm)],[f855,f827]) ).
fof(f886,plain,
( ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| sk_c10 = identity ),
inference(forward_demodulation,[status(thm)],[f856,f829]) ).
fof(f894,plain,
( ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| sk_c10 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f873,f886]) ).
fof(f927,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| sk_c10 = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f882,f840]) ).
fof(f935,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ2_spl
| ~ sQ3_spl
| inverse(sk_c10) = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f927,f847]) ).
fof(f946,plain,
( sQ38_spl
| ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| sk_c10 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f927,f397]) ).
fof(f947,plain,
( sQ38_spl
| ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f946]) ).
fof(f948,plain,
( sQ38_spl
| ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f947]) ).
fof(f1037,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ2_spl
| X0 = multiply(X0,sk_c10) ),
inference(forward_demodulation,[status(thm)],[f894,f869]) ).
fof(f1080,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ0_spl
| inverse(sk_c3) = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f660,f226]) ).
fof(f1086,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ0_spl
| X0 = multiply(sk_c9,multiply(sk_c3,X0)) ),
inference(forward_demodulation,[status(thm)],[f660,f429]) ).
fof(f1098,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ0_spl
| ~ sQ12_spl
| multiply(sk_c2,X0) = multiply(sk_c1,multiply(sk_c10,X0)) ),
inference(backward_demodulation,[status(thm)],[f1099,f763]) ).
fof(f1099,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ0_spl
| multiply(sk_c2,X0) = multiply(sk_c2,multiply(sk_c10,X0)) ),
inference(forward_demodulation,[status(thm)],[f763,f259]) ).
fof(f1104,plain,
( ~ sQ13_spl
| ~ sQ2_spl
| multiply(sk_c9,sk_c1) = sk_c4 ),
inference(backward_demodulation,[status(thm)],[f854,f740]) ).
fof(f1105,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ14_spl
| ~ sQ15_spl
| multiply(sk_c9,sk_c1) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f854,f655]) ).
fof(f1106,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| multiply(sk_c2,sk_c1) = sk_c1 ),
inference(backward_demodulation,[status(thm)],[f854,f628]) ).
fof(f1108,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ0_spl
| identity = sk_c10 ),
inference(backward_demodulation,[status(thm)],[f854,f766]) ).
fof(f1118,plain,
( sQ4_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ0_spl
| inverse(sk_c9) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f660,f147]) ).
fof(f1119,plain,
( sQ1_spl
| ~ sQ0_spl
| ~ sQ14_spl
| ~ sQ15_spl
| sk_c9 != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f653,f135]) ).
fof(f1120,plain,
( sQ1_spl
| ~ sQ0_spl
| ~ sQ14_spl
| ~ sQ15_spl
| sk_c9 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f660,f1119]) ).
fof(f1121,plain,
( sQ1_spl
| ~ sQ0_spl
| ~ sQ14_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1120]) ).
fof(f1122,plain,
( sQ1_spl
| ~ sQ0_spl
| ~ sQ14_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f1121]) ).
fof(f1126,plain,
( ~ sQ11_spl
| ~ sQ15_spl
| ~ sQ5_spl
| ~ sQ14_spl
| ~ sQ0_spl
| sk_c2 = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f1140,f174]) ).
fof(f1127,plain,
( ~ sQ13_spl
| ~ sQ15_spl
| ~ sQ5_spl
| ~ sQ14_spl
| ~ sQ0_spl
| sk_c1 = identity ),
inference(backward_demodulation,[status(thm)],[f1140,f264]) ).
fof(f1129,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ15_spl
| ~ sQ5_spl
| ~ sQ14_spl
| ~ sQ0_spl
| multiply(sk_c9,X0) = multiply(sk_c2,X0) ),
inference(backward_demodulation,[status(thm)],[f1140,f268]) ).
fof(f1130,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ15_spl
| ~ sQ5_spl
| ~ sQ14_spl
| ~ sQ0_spl
| X0 = multiply(sk_c1,X0) ),
inference(backward_demodulation,[status(thm)],[f1140,f631]) ).
fof(f1139,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ5_spl
| X0 = multiply(sk_c3,multiply(sk_c9,X0)) ),
inference(backward_demodulation,[status(thm)],[f1140,f679]) ).
fof(f1140,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ5_spl
| ~ sQ14_spl
| ~ sQ0_spl
| X0 = multiply(sk_c10,X0) ),
inference(forward_demodulation,[status(thm)],[f1086,f475]) ).
fof(f1145,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ5_spl
| multiply(sk_c2,X0) = multiply(sk_c1,X0) ),
inference(forward_demodulation,[status(thm)],[f1140,f1098]) ).
fof(f1148,plain,
( ~ sQ2_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ14_spl
| ~ sQ15_spl
| multiply(sk_c9,sk_c10) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f1152,f138]) ).
fof(f1152,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ2_spl
| sk_c4 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1104,f1105]) ).
fof(f1155,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ0_spl
| X0 = multiply(X0,sk_c10) ),
inference(backward_demodulation,[status(thm)],[f1108,f854]) ).
fof(f1158,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ0_spl
| ~ sQ13_spl
| multiply(sk_c9,sk_c3) = sk_c10 ),
inference(backward_demodulation,[status(thm)],[f1108,f649]) ).
fof(f1160,plain,
( sQ32_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ0_spl
| sk_c10 != sk_c9 ),
inference(backward_demodulation,[status(thm)],[f1108,f333]) ).
fof(f1169,plain,
( ~ sQ11_spl
| ~ sQ15_spl
| ~ sQ5_spl
| ~ sQ14_spl
| ~ sQ0_spl
| sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1126,f381]) ).
fof(f1170,plain,
( ~ sQ11_spl
| ~ sQ15_spl
| ~ sQ5_spl
| ~ sQ14_spl
| ~ sQ0_spl
| sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f1169]) ).
fof(f1171,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ15_spl
| ~ sQ5_spl
| ~ sQ14_spl
| ~ sQ0_spl
| multiply(sk_c2,sk_c1) = sk_c10 ),
inference(backward_demodulation,[status(thm)],[f1174,f1106]) ).
fof(f1173,plain,
( ~ sQ13_spl
| ~ sQ15_spl
| ~ sQ5_spl
| ~ sQ14_spl
| ~ sQ0_spl
| inverse(sk_c10) = sk_c10 ),
inference(backward_demodulation,[status(thm)],[f1174,f200]) ).
fof(f1174,plain,
( ~ sQ13_spl
| ~ sQ15_spl
| ~ sQ5_spl
| ~ sQ14_spl
| ~ sQ0_spl
| sk_c1 = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f1108,f1127]) ).
fof(f1177,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ15_spl
| ~ sQ5_spl
| ~ sQ14_spl
| ~ sQ0_spl
| ~ sQ12_spl
| X0 = multiply(sk_c2,X0) ),
inference(forward_demodulation,[status(thm)],[f1145,f1130]) ).
fof(f1180,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ13_spl
| ~ sQ5_spl
| ~ sQ12_spl
| ~ sQ11_spl
| sk_c10 = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f1182,f653]) ).
fof(f1182,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ15_spl
| ~ sQ5_spl
| ~ sQ14_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ11_spl
| X0 = multiply(sk_c9,X0) ),
inference(forward_demodulation,[status(thm)],[f1129,f1177]) ).
fof(f1187,plain,
( sQ29_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ11_spl
| sk_c10 != sk_c9 ),
inference(backward_demodulation,[status(thm)],[f1188,f709]) ).
fof(f1188,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ5_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ11_spl
| X0 = multiply(sk_c3,X0) ),
inference(forward_demodulation,[status(thm)],[f1182,f1139]) ).
fof(f1213,plain,
( ~ sQ2_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ5_spl
| ~ sQ12_spl
| ~ sQ11_spl
| sk_c10 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1182,f1148]) ).
fof(f1221,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ5_spl
| ~ sQ12_spl
| ~ sQ11_spl
| sk_c3 = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f1182,f1158]) ).
fof(f1223,plain,
( sQ32_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ0_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1160,f345,f130,f225,f212,f199,f331]) ).
fof(f1224,plain,
( ~ sQ11_spl
| ~ sQ15_spl
| ~ sQ5_spl
| ~ sQ14_spl
| ~ sQ0_spl
| ~ sQ2_spl
| ~ sQ13_spl
| ~ sQ12_spl
| sk_c2 = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f1213,f1126]) ).
fof(f1225,plain,
( ~ sQ11_spl
| ~ sQ15_spl
| ~ sQ5_spl
| ~ sQ14_spl
| ~ sQ0_spl
| ~ sQ2_spl
| ~ sQ13_spl
| ~ sQ12_spl
| sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1224,f315]) ).
fof(f1226,plain,
( ~ sQ11_spl
| ~ sQ15_spl
| ~ sQ5_spl
| ~ sQ14_spl
| ~ sQ0_spl
| ~ sQ2_spl
| ~ sQ13_spl
| ~ sQ12_spl
| sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f1225]) ).
fof(f1227,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ15_spl
| ~ sQ5_spl
| ~ sQ14_spl
| ~ sQ0_spl
| ~ sQ41_spl
| multiply(sk_c9,sk_c1) = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f380,f1171]) ).
fof(f1228,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ15_spl
| ~ sQ5_spl
| ~ sQ14_spl
| ~ sQ0_spl
| ~ sQ41_spl
| multiply(sk_c9,sk_c10) = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f1174,f1227]) ).
fof(f1230,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ15_spl
| ~ sQ5_spl
| ~ sQ14_spl
| ~ sQ0_spl
| ~ sQ41_spl
| sk_c9 = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f1155,f1228]) ).
fof(f1232,plain,
( ~ sQ13_spl
| ~ sQ15_spl
| ~ sQ5_spl
| ~ sQ14_spl
| ~ sQ0_spl
| sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1173,f282]) ).
fof(f1233,plain,
( ~ sQ13_spl
| ~ sQ15_spl
| ~ sQ5_spl
| ~ sQ14_spl
| ~ sQ0_spl
| sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1232]) ).
fof(f1240,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ13_spl
| ~ sQ5_spl
| ~ sQ12_spl
| ~ sQ11_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f1180,f345,f173,f186,f149,f199,f225,f212,f130]) ).
fof(f1243,plain,
( sQ29_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ41_spl
| sk_c10 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f1230,f1187]) ).
fof(f1244,plain,
( sQ29_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ41_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1243]) ).
fof(f1245,plain,
( sQ29_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f1244]) ).
fof(f1249,plain,
( sQ44_spl
| ~ sQ15_spl
| ~ sQ5_spl
| ~ sQ14_spl
| ~ sQ0_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f684,f331,f130,f212,f149,f225,f412]) ).
fof(f1253,plain,
( sQ4_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ5_spl
| ~ sQ41_spl
| inverse(sk_c10) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1230,f1118]) ).
fof(f1254,plain,
( sQ4_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ5_spl
| ~ sQ41_spl
| inverse(sk_c10) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f1230,f1253]) ).
fof(f1257,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ5_spl
| ~ sQ12_spl
| ~ sQ11_spl
| inverse(sk_c10) = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1221,f1080]) ).
fof(f1258,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ5_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ41_spl
| inverse(sk_c10) = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f1230,f1257]) ).
fof(f1259,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ5_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ41_spl
| sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1258,f1254]) ).
fof(f1260,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ5_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ41_spl
| sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f1259]) ).
fof(f1263,plain,
( sQ28_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ5_spl
| ~ sQ41_spl
| inverse(sk_c10) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f1230,f715]) ).
fof(f1270,plain,
( ~ sQ13_spl
| ~ sQ15_spl
| ~ sQ5_spl
| ~ sQ14_spl
| ~ sQ0_spl
| sQ28_spl
| ~ sQ12_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1173,f1263]) ).
fof(f1271,plain,
( ~ sQ13_spl
| ~ sQ15_spl
| ~ sQ5_spl
| ~ sQ14_spl
| ~ sQ0_spl
| sQ28_spl
| ~ sQ12_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f1270]) ).
fof(f1526,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| inverse(X0) != sk_c8
| multiply(X0,sk_c10) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f837,f242]) ).
fof(f1527,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ2_spl
| inverse(X0) != sk_c8
| X0 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f1037,f1526]) ).
fof(f1528,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ2_spl
| inverse(X0) != sk_c10
| X0 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f837,f1527]) ).
fof(f1529,plain,
( ~ sQ17_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ2_spl
| inverse(sk_c10) != sk_c10 ),
inference(destructive_equality_resolution,[status(thm)],[f1528]) ).
fof(f1530,plain,
( ~ sQ17_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1529,f935]) ).
fof(f1531,plain,
( ~ sQ17_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f1530]) ).
fof(f1619,plain,
( sQ39_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ2_spl
| ~ sQ3_spl
| inverse(sk_c10) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f935,f373]) ).
fof(f1620,plain,
( sQ39_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ2_spl
| ~ sQ3_spl
| sk_c10 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f935,f1619]) ).
fof(f1621,plain,
( sQ39_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ2_spl
| ~ sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1620]) ).
fof(f1622,plain,
( sQ39_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ2_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f1621]) ).
fof(f1627,plain,
( sQ43_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| sk_c6 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f882,f410]) ).
fof(f1628,plain,
( sQ43_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| sk_c10 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f927,f1627]) ).
fof(f1629,plain,
( sQ43_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| sk_c10 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f894,f1628]) ).
fof(f1630,plain,
( sQ43_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1629]) ).
fof(f1631,plain,
( sQ43_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f1630]) ).
fof(f1632,plain,
$false,
inference(sat_refutation,[status(thm)],[f136,f148,f152,f156,f160,f177,f178,f179,f180,f181,f182,f183,f184,f185,f190,f191,f192,f194,f195,f196,f197,f198,f203,f204,f205,f207,f208,f209,f210,f211,f215,f216,f217,f218,f219,f220,f221,f228,f229,f230,f231,f232,f233,f234,f235,f236,f237,f253,f286,f297,f301,f305,f312,f327,f334,f341,f348,f351,f362,f363,f382,f390,f393,f407,f411,f415,f419,f586,f594,f662,f694,f697,f714,f770,f864,f948,f1122,f1170,f1223,f1226,f1233,f1240,f1245,f1249,f1260,f1271,f1531,f1622,f1631]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP366-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/15.37 % Computer : n006.cluster.edu
% 0.09/15.37 % Model : x86_64 x86_64
% 0.09/15.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/15.37 % Memory : 8046.5625MB
% 0.09/15.37 % OS : Linux 6.8.0-71-generic
% 0.09/15.37 % CPULimit : 300
% 0.09/15.37 % WCLimit : 300
% 0.09/15.37 % DateTime : Sun Sep 20 20:10:15 UTC 2026
% 0.09/15.38 % CPUTime :
% 0.09/15.39 % Drodi V4.1.1
% 0.12/15.42 % Refutation found
% 0.12/15.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/15.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/15.45 % Elapsed time: 0.064946 seconds
% 0.12/15.45 % CPU time: 0.227975 seconds
% 0.12/15.45 % Total memory used: 106.790 MB
% 0.12/15.45 % Net memory used: 106.548 MB
%------------------------------------------------------------------------------