%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP220-1 : 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 12:33:08 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.47s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 94
% Syntax : Number of formulae : 504 ( 13 unt; 36 def)
% Number of atoms : 2015 ( 599 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 2841 (1330 ~;1475 |; 0 &)
% ( 36 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 38 ( 36 usr; 37 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 129 ( 129 !; 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,
( inverse(sk_c12) = sk_c11
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( inverse(sk_c6) = sk_c12
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( multiply(sk_c6,sk_c11) = sk_c12
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c12
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( inverse(sk_c7) = sk_c10
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c12
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( inverse(sk_c9) = sk_c8
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( inverse(sk_c8) = sk_c10
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c8
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( inverse(sk_c6) = sk_c12
| multiply(sk_c1,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( multiply(sk_c6,sk_c11) = sk_c12
| multiply(sk_c1,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c12
| multiply(sk_c1,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( inverse(sk_c7) = sk_c10
| multiply(sk_c1,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c12
| multiply(sk_c1,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( inverse(sk_c9) = sk_c8
| multiply(sk_c1,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( inverse(sk_c8) = sk_c10
| multiply(sk_c1,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c8
| multiply(sk_c1,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( inverse(sk_c12) = sk_c11
| multiply(sk_c2,sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
( inverse(sk_c6) = sk_c12
| multiply(sk_c2,sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( multiply(sk_c6,sk_c11) = sk_c12
| multiply(sk_c2,sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c12
| multiply(sk_c2,sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
( inverse(sk_c7) = sk_c10
| multiply(sk_c2,sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c12
| multiply(sk_c2,sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( inverse(sk_c9) = sk_c8
| multiply(sk_c2,sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( inverse(sk_c8) = sk_c10
| multiply(sk_c2,sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c8
| multiply(sk_c2,sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( inverse(sk_c12) = sk_c11
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
( inverse(sk_c12) = sk_c11
| multiply(sk_c3,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
( inverse(sk_c12) = sk_c11
| multiply(sk_c12,sk_c5) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
( inverse(sk_c6) = sk_c12
| multiply(sk_c12,sk_c5) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
( multiply(sk_c6,sk_c11) = sk_c12
| multiply(sk_c12,sk_c5) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c12
| multiply(sk_c12,sk_c5) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,negated_conjecture,
( inverse(sk_c7) = sk_c10
| multiply(sk_c12,sk_c5) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c12
| multiply(sk_c12,sk_c5) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55,negated_conjecture,
( inverse(sk_c9) = sk_c8
| multiply(sk_c12,sk_c5) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,negated_conjecture,
( inverse(sk_c8) = sk_c10
| multiply(sk_c12,sk_c5) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c8
| multiply(sk_c12,sk_c5) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
( inverse(sk_c12) = sk_c11
| multiply(sk_c4,sk_c12) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f59,negated_conjecture,
( inverse(sk_c6) = sk_c12
| multiply(sk_c4,sk_c12) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f60,negated_conjecture,
( multiply(sk_c6,sk_c11) = sk_c12
| multiply(sk_c4,sk_c12) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f61,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c12
| multiply(sk_c4,sk_c12) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f62,negated_conjecture,
( inverse(sk_c7) = sk_c10
| multiply(sk_c4,sk_c12) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f63,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c12
| multiply(sk_c4,sk_c12) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f64,negated_conjecture,
( inverse(sk_c9) = sk_c8
| multiply(sk_c4,sk_c12) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f65,negated_conjecture,
( inverse(sk_c8) = sk_c10
| multiply(sk_c4,sk_c12) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f66,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c8
| multiply(sk_c4,sk_c12) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f67,negated_conjecture,
( inverse(sk_c12) = sk_c11
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f68,negated_conjecture,
( inverse(sk_c6) = sk_c12
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f69,negated_conjecture,
( multiply(sk_c6,sk_c11) = sk_c12
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f70,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c12
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f71,negated_conjecture,
( inverse(sk_c7) = sk_c10
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f72,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c12
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f73,negated_conjecture,
( inverse(sk_c9) = sk_c8
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f74,negated_conjecture,
( inverse(sk_c8) = sk_c10
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f76,negated_conjecture,
! [X6,X7,X8,X9,X10,X1,X3,X2,X4,X5] :
( multiply(X4,X2) != X5
| inverse(X5) != X2
| inverse(X4) != X5
| multiply(X2,sk_c11) != sk_c12
| inverse(X3) != X2
| multiply(X3,X2) != sk_c12
| multiply(X1,sk_c11) != sk_c12
| inverse(X1) != sk_c12
| inverse(sk_c12) != sk_c11
| inverse(X10) != sk_c12
| multiply(X10,sk_c12) != X9
| multiply(sk_c12,X9) != sk_c11
| multiply(X8,sk_c12) != sk_c11
| inverse(X7) != X8
| multiply(X7,X8) != sk_c11
| multiply(X6,sk_c11) != sk_c12
| inverse(X6) != sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f77,plain,
! [X0] : multiply(identity,X0) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f78,plain,
! [X0] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f79,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f80,plain,
( inverse(sk_c12) = sk_c11
| inverse(sk_c1) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f81,plain,
( inverse(sk_c6) = sk_c12
| inverse(sk_c1) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f82,plain,
( multiply(sk_c6,sk_c11) = sk_c12
| inverse(sk_c1) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f83,plain,
( multiply(sk_c7,sk_c10) = sk_c12
| inverse(sk_c1) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f84,plain,
( inverse(sk_c7) = sk_c10
| inverse(sk_c1) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f85,plain,
( multiply(sk_c10,sk_c11) = sk_c12
| inverse(sk_c1) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f86,plain,
( inverse(sk_c9) = sk_c8
| inverse(sk_c1) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f87,plain,
( inverse(sk_c8) = sk_c10
| inverse(sk_c1) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f88,plain,
( multiply(sk_c9,sk_c10) = sk_c8
| inverse(sk_c1) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f90,plain,
( inverse(sk_c6) = sk_c12
| multiply(sk_c1,sk_c11) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f91,plain,
( multiply(sk_c6,sk_c11) = sk_c12
| multiply(sk_c1,sk_c11) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f92,plain,
( multiply(sk_c7,sk_c10) = sk_c12
| multiply(sk_c1,sk_c11) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f93,plain,
( inverse(sk_c7) = sk_c10
| multiply(sk_c1,sk_c11) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f94,plain,
( multiply(sk_c10,sk_c11) = sk_c12
| multiply(sk_c1,sk_c11) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f95,plain,
( inverse(sk_c9) = sk_c8
| multiply(sk_c1,sk_c11) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f96,plain,
( inverse(sk_c8) = sk_c10
| multiply(sk_c1,sk_c11) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f97,plain,
( multiply(sk_c9,sk_c10) = sk_c8
| multiply(sk_c1,sk_c11) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f98,plain,
( inverse(sk_c12) = sk_c11
| multiply(sk_c2,sk_c3) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f99,plain,
( inverse(sk_c6) = sk_c12
| multiply(sk_c2,sk_c3) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f100,plain,
( multiply(sk_c6,sk_c11) = sk_c12
| multiply(sk_c2,sk_c3) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f101,plain,
( multiply(sk_c7,sk_c10) = sk_c12
| multiply(sk_c2,sk_c3) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f102,plain,
( inverse(sk_c7) = sk_c10
| multiply(sk_c2,sk_c3) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f103,plain,
( multiply(sk_c10,sk_c11) = sk_c12
| multiply(sk_c2,sk_c3) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f104,plain,
( inverse(sk_c9) = sk_c8
| multiply(sk_c2,sk_c3) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f105,plain,
( inverse(sk_c8) = sk_c10
| multiply(sk_c2,sk_c3) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f106,plain,
( multiply(sk_c9,sk_c10) = sk_c8
| multiply(sk_c2,sk_c3) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f107,plain,
( inverse(sk_c12) = sk_c11
| inverse(sk_c2) = sk_c3 ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f116,plain,
( inverse(sk_c12) = sk_c11
| multiply(sk_c3,sk_c12) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f125,plain,
( inverse(sk_c12) = sk_c11
| multiply(sk_c12,sk_c5) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f126,plain,
( inverse(sk_c6) = sk_c12
| multiply(sk_c12,sk_c5) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f127,plain,
( multiply(sk_c6,sk_c11) = sk_c12
| multiply(sk_c12,sk_c5) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f128,plain,
( multiply(sk_c7,sk_c10) = sk_c12
| multiply(sk_c12,sk_c5) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f129,plain,
( inverse(sk_c7) = sk_c10
| multiply(sk_c12,sk_c5) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f130,plain,
( multiply(sk_c10,sk_c11) = sk_c12
| multiply(sk_c12,sk_c5) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f131,plain,
( inverse(sk_c9) = sk_c8
| multiply(sk_c12,sk_c5) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f132,plain,
( inverse(sk_c8) = sk_c10
| multiply(sk_c12,sk_c5) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f133,plain,
( multiply(sk_c9,sk_c10) = sk_c8
| multiply(sk_c12,sk_c5) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f134,plain,
( inverse(sk_c12) = sk_c11
| multiply(sk_c4,sk_c12) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f135,plain,
( inverse(sk_c6) = sk_c12
| multiply(sk_c4,sk_c12) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f136,plain,
( multiply(sk_c6,sk_c11) = sk_c12
| multiply(sk_c4,sk_c12) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f137,plain,
( multiply(sk_c7,sk_c10) = sk_c12
| multiply(sk_c4,sk_c12) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f138,plain,
( inverse(sk_c7) = sk_c10
| multiply(sk_c4,sk_c12) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f139,plain,
( multiply(sk_c10,sk_c11) = sk_c12
| multiply(sk_c4,sk_c12) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f140,plain,
( inverse(sk_c9) = sk_c8
| multiply(sk_c4,sk_c12) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f141,plain,
( inverse(sk_c8) = sk_c10
| multiply(sk_c4,sk_c12) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f142,plain,
( multiply(sk_c9,sk_c10) = sk_c8
| multiply(sk_c4,sk_c12) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f143,plain,
( inverse(sk_c12) = sk_c11
| inverse(sk_c4) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f144,plain,
( inverse(sk_c6) = sk_c12
| inverse(sk_c4) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f145,plain,
( multiply(sk_c6,sk_c11) = sk_c12
| inverse(sk_c4) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f146,plain,
( multiply(sk_c7,sk_c10) = sk_c12
| inverse(sk_c4) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f147,plain,
( inverse(sk_c7) = sk_c10
| inverse(sk_c4) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f148,plain,
( multiply(sk_c10,sk_c11) = sk_c12
| inverse(sk_c4) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f149,plain,
( inverse(sk_c9) = sk_c8
| inverse(sk_c4) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f150,plain,
( inverse(sk_c8) = sk_c10
| inverse(sk_c4) = sk_c12 ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f152,plain,
! [X2,X4,X5] :
( multiply(X4,X2) != X5
| inverse(X5) != X2
| inverse(X4) != X5
| multiply(X2,sk_c11) != sk_c12
| ! [X3] :
( inverse(X3) != X2
| multiply(X3,X2) != sk_c12
| ! [X1] :
( multiply(X1,sk_c11) != sk_c12
| inverse(X1) != sk_c12
| inverse(sk_c12) != sk_c11
| ! [X10] :
( inverse(X10) != sk_c12
| ! [X9] :
( multiply(X10,sk_c12) != X9
| multiply(sk_c12,X9) != sk_c11
| ! [X8] :
( multiply(X8,sk_c12) != sk_c11
| ! [X7] :
( inverse(X7) != X8
| multiply(X7,X8) != sk_c11
| ! [X6] :
( multiply(X6,sk_c11) != sk_c12
| inverse(X6) != sk_c12 ) ) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f76]) ).
fof(f153,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( multiply(X8,X7) != X9
| inverse(X9) != X7
| inverse(X8) != X9
| multiply(X7,sk_c11) != sk_c12
| inverse(X6) != X7
| multiply(X6,X7) != sk_c12
| multiply(X5,sk_c11) != sk_c12
| inverse(X5) != sk_c12
| inverse(sk_c12) != sk_c11
| inverse(X4) != sk_c12
| multiply(X4,sk_c12) != X3
| multiply(sk_c12,X3) != sk_c11
| multiply(X2,sk_c12) != sk_c11
| inverse(X1) != X2
| multiply(X1,X2) != sk_c11
| multiply(X0,sk_c11) != sk_c12
| inverse(X0) != sk_c12 ),
inference(cnf_transformation,[status(thm)],[f152]) ).
fof(f154,definition,
( sQ0_spl
<=> inverse(sk_c1) = sk_c12 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f155,plain,
( ~ sQ0_spl
| inverse(sk_c1) = sk_c12 ),
inference(component_clause,[status(thm)],[f154]) ).
fof(f157,definition,
( sQ1_spl
<=> inverse(sk_c12) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f158,plain,
( ~ sQ1_spl
| inverse(sk_c12) = sk_c11 ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f159,plain,
( sQ1_spl
| inverse(sk_c12) != sk_c11 ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f160,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f80,f154,f157]) ).
fof(f161,definition,
( sQ2_spl
<=> inverse(sk_c6) = sk_c12 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f162,plain,
( ~ sQ2_spl
| inverse(sk_c6) = sk_c12 ),
inference(component_clause,[status(thm)],[f161]) ).
fof(f164,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f81,f154,f161]) ).
fof(f165,definition,
( sQ3_spl
<=> multiply(sk_c6,sk_c11) = sk_c12 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f166,plain,
( ~ sQ3_spl
| multiply(sk_c6,sk_c11) = sk_c12 ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f168,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f82,f154,f165]) ).
fof(f169,definition,
( sQ4_spl
<=> multiply(sk_c7,sk_c10) = sk_c12 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f170,plain,
( ~ sQ4_spl
| multiply(sk_c7,sk_c10) = sk_c12 ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f172,plain,
( sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f83,f154,f169]) ).
fof(f173,definition,
( sQ5_spl
<=> inverse(sk_c7) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f174,plain,
( ~ sQ5_spl
| inverse(sk_c7) = sk_c10 ),
inference(component_clause,[status(thm)],[f173]) ).
fof(f176,plain,
( sQ5_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f84,f154,f173]) ).
fof(f177,definition,
( sQ6_spl
<=> multiply(sk_c10,sk_c11) = sk_c12 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f178,plain,
( ~ sQ6_spl
| multiply(sk_c10,sk_c11) = sk_c12 ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f180,plain,
( sQ6_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f85,f154,f177]) ).
fof(f181,definition,
( sQ7_spl
<=> inverse(sk_c9) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f182,plain,
( ~ sQ7_spl
| inverse(sk_c9) = sk_c8 ),
inference(component_clause,[status(thm)],[f181]) ).
fof(f184,plain,
( sQ7_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f86,f154,f181]) ).
fof(f185,definition,
( sQ8_spl
<=> inverse(sk_c8) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f186,plain,
( ~ sQ8_spl
| inverse(sk_c8) = sk_c10 ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f188,plain,
( sQ8_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f87,f154,f185]) ).
fof(f189,definition,
( sQ9_spl
<=> multiply(sk_c9,sk_c10) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f190,plain,
( ~ sQ9_spl
| multiply(sk_c9,sk_c10) = sk_c8 ),
inference(component_clause,[status(thm)],[f189]) ).
fof(f192,plain,
( sQ9_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f88,f154,f189]) ).
fof(f193,definition,
( sQ10_spl
<=> multiply(sk_c1,sk_c11) = sk_c12 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f194,plain,
( ~ sQ10_spl
| multiply(sk_c1,sk_c11) = sk_c12 ),
inference(component_clause,[status(thm)],[f193]) ).
fof(f197,plain,
( sQ2_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f90,f193,f161]) ).
fof(f198,plain,
( sQ3_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f91,f193,f165]) ).
fof(f199,plain,
( sQ4_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f92,f193,f169]) ).
fof(f200,plain,
( sQ5_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f93,f193,f173]) ).
fof(f201,plain,
( sQ6_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f94,f193,f177]) ).
fof(f202,plain,
( sQ7_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f95,f193,f181]) ).
fof(f203,plain,
( sQ8_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f96,f193,f185]) ).
fof(f204,plain,
( sQ9_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f97,f193,f189]) ).
fof(f205,definition,
( sQ11_spl
<=> multiply(sk_c2,sk_c3) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f206,plain,
( ~ sQ11_spl
| multiply(sk_c2,sk_c3) = sk_c11 ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f208,plain,
( sQ1_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f98,f205,f157]) ).
fof(f209,plain,
( sQ2_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f99,f205,f161]) ).
fof(f210,plain,
( sQ3_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f100,f205,f165]) ).
fof(f211,plain,
( sQ4_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f101,f205,f169]) ).
fof(f212,plain,
( sQ5_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f102,f205,f173]) ).
fof(f213,plain,
( sQ6_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f103,f205,f177]) ).
fof(f214,plain,
( sQ7_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f104,f205,f181]) ).
fof(f215,plain,
( sQ8_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f105,f205,f185]) ).
fof(f216,plain,
( sQ9_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f106,f205,f189]) ).
fof(f217,definition,
( sQ12_spl
<=> inverse(sk_c2) = sk_c3 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f218,plain,
( ~ sQ12_spl
| inverse(sk_c2) = sk_c3 ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f220,plain,
( sQ1_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f107,f217,f157]) ).
fof(f229,definition,
( sQ13_spl
<=> multiply(sk_c3,sk_c12) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f230,plain,
( ~ sQ13_spl
| multiply(sk_c3,sk_c12) = sk_c11 ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f232,plain,
( sQ1_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f116,f229,f157]) ).
fof(f241,definition,
( sQ14_spl
<=> multiply(sk_c12,sk_c5) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f242,plain,
( ~ sQ14_spl
| multiply(sk_c12,sk_c5) = sk_c11 ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,plain,
( sQ1_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f125,f241,f157]) ).
fof(f245,plain,
( sQ2_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f126,f241,f161]) ).
fof(f246,plain,
( sQ3_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f127,f241,f165]) ).
fof(f247,plain,
( sQ4_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f128,f241,f169]) ).
fof(f248,plain,
( sQ5_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f129,f241,f173]) ).
fof(f249,plain,
( sQ6_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f130,f241,f177]) ).
fof(f250,plain,
( sQ7_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f131,f241,f181]) ).
fof(f251,plain,
( sQ8_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f132,f241,f185]) ).
fof(f252,plain,
( sQ9_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f133,f241,f189]) ).
fof(f253,definition,
( sQ15_spl
<=> multiply(sk_c4,sk_c12) = sk_c5 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f254,plain,
( ~ sQ15_spl
| multiply(sk_c4,sk_c12) = sk_c5 ),
inference(component_clause,[status(thm)],[f253]) ).
fof(f256,plain,
( sQ1_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f134,f253,f157]) ).
fof(f257,plain,
( sQ2_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f135,f253,f161]) ).
fof(f258,plain,
( sQ3_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f136,f253,f165]) ).
fof(f259,plain,
( sQ4_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f137,f253,f169]) ).
fof(f260,plain,
( sQ5_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f138,f253,f173]) ).
fof(f261,plain,
( sQ6_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f139,f253,f177]) ).
fof(f262,plain,
( sQ7_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f140,f253,f181]) ).
fof(f263,plain,
( sQ8_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f141,f253,f185]) ).
fof(f264,plain,
( sQ9_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f142,f253,f189]) ).
fof(f265,definition,
( sQ16_spl
<=> inverse(sk_c4) = sk_c12 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f266,plain,
( ~ sQ16_spl
| inverse(sk_c4) = sk_c12 ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f267,plain,
( sQ16_spl
| inverse(sk_c4) != sk_c12 ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f268,plain,
( sQ1_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f143,f265,f157]) ).
fof(f269,plain,
( sQ2_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f144,f265,f161]) ).
fof(f270,plain,
( sQ3_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f145,f265,f165]) ).
fof(f271,plain,
( sQ4_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f146,f265,f169]) ).
fof(f272,plain,
( sQ5_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f147,f265,f173]) ).
fof(f273,plain,
( sQ6_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f148,f265,f177]) ).
fof(f274,plain,
( sQ7_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f149,f265,f181]) ).
fof(f275,plain,
( sQ8_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f150,f265,f185]) ).
fof(f277,definition,
! [X0] :
( sQ17_spl
<=> ( multiply(X0,sk_c11) != sk_c12
| inverse(X0) != sk_c12 ) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f278,plain,
! [X0] :
( ~ sQ17_spl
| multiply(X0,sk_c11) != sk_c12
| inverse(X0) != sk_c12 ),
inference(component_clause,[status(thm)],[f277]) ).
fof(f280,definition,
! [X1,X2] :
( sQ18_spl
<=> ( multiply(X2,sk_c12) != sk_c11
| inverse(X1) != X2
| multiply(X1,X2) != sk_c11 ) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f281,plain,
! [X0,X1] :
( ~ sQ18_spl
| multiply(X1,sk_c12) != sk_c11
| inverse(X0) != X1
| multiply(X0,X1) != sk_c11 ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f283,definition,
! [X3,X4] :
( sQ19_spl
<=> ( inverse(X4) != sk_c12
| multiply(X4,sk_c12) != X3
| multiply(sk_c12,X3) != sk_c11 ) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f284,plain,
! [X0,X1] :
( ~ sQ19_spl
| inverse(X1) != sk_c12
| multiply(X1,sk_c12) != X0
| multiply(sk_c12,X0) != sk_c11 ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f286,definition,
! [X6,X7,X8,X9] :
( sQ20_spl
<=> ( multiply(X8,X7) != X9
| inverse(X9) != X7
| inverse(X8) != X9
| multiply(X7,sk_c11) != sk_c12
| inverse(X6) != X7
| multiply(X6,X7) != sk_c12 ) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f287,plain,
! [X0,X1,X2,X3] :
( ~ sQ20_spl
| multiply(X2,X1) != X3
| inverse(X3) != X1
| inverse(X2) != X3
| multiply(X1,sk_c11) != sk_c12
| inverse(X0) != X1
| multiply(X0,X1) != sk_c12 ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f289,plain,
( sQ20_spl
| ~ sQ1_spl
| sQ19_spl
| sQ18_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f153,f277,f280,f283,f157,f286]) ).
fof(f290,plain,
! [X0,X1] :
( ~ sQ20_spl
| multiply(X1,inverse(X0)) != inverse(X1)
| inverse(inverse(X1)) != inverse(X0)
| multiply(inverse(X0),sk_c11) != sk_c12
| multiply(X0,inverse(X0)) != sk_c12 ),
inference(destructive_equality_resolution,[status(thm)],[f287]) ).
fof(f292,plain,
! [X0] :
( ~ sQ15_spl
| multiply(sk_c5,X0) = multiply(sk_c4,multiply(sk_c12,X0)) ),
inference(paramodulation,[status(thm)],[f254,f79]) ).
fof(f295,plain,
! [X0] :
( ~ sQ14_spl
| multiply(sk_c11,X0) = multiply(sk_c12,multiply(sk_c5,X0)) ),
inference(paramodulation,[status(thm)],[f242,f79]) ).
fof(f297,plain,
( ~ sQ7_spl
| multiply(sk_c8,sk_c9) = identity ),
inference(paramodulation,[status(thm)],[f182,f78]) ).
fof(f299,plain,
( ~ sQ0_spl
| multiply(sk_c12,sk_c1) = identity ),
inference(paramodulation,[status(thm)],[f155,f78]) ).
fof(f302,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f78,f79]) ).
fof(f303,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f77,f302]) ).
fof(f304,plain,
! [X0] :
( ~ sQ13_spl
| multiply(sk_c11,X0) = multiply(sk_c3,multiply(sk_c12,X0)) ),
inference(paramodulation,[status(thm)],[f230,f79]) ).
fof(f305,plain,
! [X0] :
( ~ sQ11_spl
| multiply(sk_c11,X0) = multiply(sk_c2,multiply(sk_c3,X0)) ),
inference(paramodulation,[status(thm)],[f206,f79]) ).
fof(f306,plain,
( ~ sQ5_spl
| multiply(sk_c10,sk_c7) = identity ),
inference(paramodulation,[status(thm)],[f174,f78]) ).
fof(f307,plain,
( ~ sQ2_spl
| multiply(sk_c12,sk_c6) = identity ),
inference(paramodulation,[status(thm)],[f162,f78]) ).
fof(f308,plain,
! [X0] :
( ~ sQ10_spl
| multiply(sk_c12,X0) = multiply(sk_c1,multiply(sk_c11,X0)) ),
inference(paramodulation,[status(thm)],[f194,f79]) ).
fof(f309,plain,
! [X0] :
( ~ sQ9_spl
| multiply(sk_c8,X0) = multiply(sk_c9,multiply(sk_c10,X0)) ),
inference(paramodulation,[status(thm)],[f190,f79]) ).
fof(f310,plain,
! [X0] :
( ~ sQ6_spl
| multiply(sk_c12,X0) = multiply(sk_c10,multiply(sk_c11,X0)) ),
inference(paramodulation,[status(thm)],[f178,f79]) ).
fof(f311,plain,
! [X0] :
( ~ sQ4_spl
| multiply(sk_c12,X0) = multiply(sk_c7,multiply(sk_c10,X0)) ),
inference(paramodulation,[status(thm)],[f170,f79]) ).
fof(f312,plain,
! [X0] :
( ~ sQ3_spl
| multiply(sk_c12,X0) = multiply(sk_c6,multiply(sk_c11,X0)) ),
inference(paramodulation,[status(thm)],[f166,f79]) ).
fof(f313,plain,
( ~ sQ20_spl
| inverse(inverse(identity)) != inverse(identity)
| multiply(inverse(identity),sk_c11) != sk_c12
| multiply(identity,inverse(identity)) != sk_c12 ),
inference(resolution,[status(thm)],[f290,f77]) ).
fof(f314,plain,
! [X0] :
( ~ sQ20_spl
| multiply(X0,inverse(identity)) != inverse(X0)
| inverse(inverse(X0)) != inverse(identity)
| multiply(inverse(identity),sk_c11) != sk_c12
| inverse(identity) != sk_c12 ),
inference(paramodulation,[status(thm)],[f77,f290]) ).
fof(f317,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ20_spl
| multiply(X0,inverse(sk_c7)) != inverse(X0)
| inverse(inverse(X0)) != inverse(sk_c7)
| multiply(inverse(sk_c7),sk_c11) != sk_c12
| multiply(sk_c7,sk_c10) != sk_c12 ),
inference(paramodulation,[status(thm)],[f174,f290]) ).
fof(f323,definition,
( sQ21_spl
<=> multiply(identity,inverse(identity)) = sk_c12 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f325,plain,
( sQ21_spl
| multiply(identity,inverse(identity)) != sk_c12 ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f326,definition,
( sQ22_spl
<=> multiply(inverse(identity),sk_c11) = sk_c12 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f327,plain,
( ~ sQ22_spl
| multiply(inverse(identity),sk_c11) = sk_c12 ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f328,plain,
( sQ22_spl
| multiply(inverse(identity),sk_c11) != sk_c12 ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f329,definition,
( sQ23_spl
<=> inverse(inverse(identity)) = inverse(identity) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f331,plain,
( sQ23_spl
| inverse(inverse(identity)) != inverse(identity) ),
inference(component_clause,[status(thm)],[f329]) ).
fof(f332,plain,
( ~ sQ20_spl
| ~ sQ23_spl
| ~ sQ22_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f313,f323,f326,f329,f286]) ).
fof(f333,definition,
( sQ24_spl
<=> inverse(identity) = sk_c12 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f335,plain,
( sQ24_spl
| inverse(identity) != sk_c12 ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f336,definition,
! [X0] :
( sQ25_spl
<=> ( multiply(X0,inverse(identity)) != inverse(X0)
| inverse(inverse(X0)) != inverse(identity) ) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f339,plain,
( ~ sQ20_spl
| sQ25_spl
| ~ sQ22_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f314,f333,f326,f336,f286]) ).
fof(f350,definition,
( sQ29_spl
<=> multiply(inverse(sk_c7),sk_c11) = sk_c12 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f352,plain,
( sQ29_spl
| multiply(inverse(sk_c7),sk_c11) != sk_c12 ),
inference(component_clause,[status(thm)],[f350]) ).
fof(f353,definition,
! [X0] :
( sQ30_spl
<=> ( multiply(X0,inverse(sk_c7)) != inverse(X0)
| inverse(inverse(X0)) != inverse(sk_c7) ) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f356,plain,
( ~ sQ5_spl
| ~ sQ20_spl
| sQ30_spl
| ~ sQ29_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f317,f169,f350,f353,f286,f173]) ).
fof(f370,definition,
( sQ35_spl
<=> multiply(inverse(sk_c8),sk_c11) = sk_c12 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f372,plain,
( sQ35_spl
| multiply(inverse(sk_c8),sk_c11) != sk_c12 ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f418,plain,
( sQ21_spl
| inverse(identity) != sk_c12 ),
inference(forward_demodulation,[status(thm)],[f77,f325]) ).
fof(f419,plain,
! [X0] :
( ~ sQ19_spl
| inverse(X0) != sk_c12
| multiply(sk_c12,multiply(X0,sk_c12)) != sk_c11 ),
inference(destructive_equality_resolution,[status(thm)],[f284]) ).
fof(f427,plain,
( ~ sQ19_spl
| inverse(inverse(sk_c12)) != sk_c12
| multiply(sk_c12,identity) != sk_c11 ),
inference(paramodulation,[status(thm)],[f78,f419]) ).
fof(f428,plain,
( ~ sQ19_spl
| inverse(identity) != sk_c12
| multiply(sk_c12,sk_c12) != sk_c11 ),
inference(paramodulation,[status(thm)],[f77,f419]) ).
fof(f430,plain,
( ~ sQ15_spl
| ~ sQ19_spl
| inverse(sk_c4) != sk_c12
| multiply(sk_c12,sk_c5) != sk_c11 ),
inference(paramodulation,[status(thm)],[f254,f419]) ).
fof(f438,definition,
( sQ48_spl
<=> multiply(sk_c12,identity) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f440,plain,
( sQ48_spl
| multiply(sk_c12,identity) != sk_c11 ),
inference(component_clause,[status(thm)],[f438]) ).
fof(f441,definition,
( sQ49_spl
<=> inverse(inverse(sk_c12)) = sk_c12 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f443,plain,
( sQ49_spl
| inverse(inverse(sk_c12)) != sk_c12 ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f444,plain,
( ~ sQ19_spl
| ~ sQ49_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f427,f438,f441,f283]) ).
fof(f445,definition,
( sQ50_spl
<=> multiply(sk_c12,sk_c12) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f448,plain,
( ~ sQ19_spl
| ~ sQ24_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f428,f445,f333,f283]) ).
fof(f449,plain,
( ~ sQ15_spl
| ~ sQ19_spl
| ~ sQ16_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f430,f241,f265,f283,f253]) ).
fof(f450,plain,
! [X0] :
( ~ sQ18_spl
| multiply(inverse(X0),sk_c12) != sk_c11
| multiply(X0,inverse(X0)) != sk_c11 ),
inference(destructive_equality_resolution,[status(thm)],[f281]) ).
fof(f451,plain,
( sQ49_spl
| ~ sQ1_spl
| inverse(sk_c11) != sk_c12 ),
inference(backward_demodulation,[status(thm)],[f158,f443]) ).
fof(f454,plain,
( sQ29_spl
| ~ sQ5_spl
| multiply(sk_c10,sk_c11) != sk_c12 ),
inference(backward_demodulation,[status(thm)],[f174,f352]) ).
fof(f458,plain,
( sQ35_spl
| ~ sQ8_spl
| multiply(sk_c10,sk_c11) != sk_c12 ),
inference(backward_demodulation,[status(thm)],[f186,f372]) ).
fof(f461,plain,
( sQ29_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c12 != sk_c12 ),
inference(forward_demodulation,[status(thm)],[f178,f454]) ).
fof(f462,plain,
( sQ29_spl
| ~ sQ5_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f461]) ).
fof(f463,plain,
( sQ29_spl
| ~ sQ5_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f462]) ).
fof(f466,plain,
( sQ35_spl
| ~ sQ8_spl
| ~ sQ6_spl
| sk_c12 != sk_c12 ),
inference(forward_demodulation,[status(thm)],[f178,f458]) ).
fof(f467,plain,
( sQ35_spl
| ~ sQ8_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f466]) ).
fof(f468,plain,
( sQ35_spl
| ~ sQ8_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f467]) ).
fof(f472,plain,
( ~ sQ18_spl
| multiply(inverse(identity),sk_c12) != sk_c11
| inverse(identity) != sk_c11 ),
inference(paramodulation,[status(thm)],[f77,f450]) ).
fof(f474,plain,
( ~ sQ16_spl
| ~ sQ18_spl
| multiply(inverse(sk_c4),sk_c12) != sk_c11
| multiply(sk_c4,sk_c12) != sk_c11 ),
inference(paramodulation,[status(thm)],[f266,f450]) ).
fof(f475,definition,
( sQ51_spl
<=> inverse(identity) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f477,plain,
( sQ51_spl
| inverse(identity) != sk_c11 ),
inference(component_clause,[status(thm)],[f475]) ).
fof(f478,definition,
( sQ52_spl
<=> multiply(inverse(identity),sk_c12) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f480,plain,
( sQ52_spl
| multiply(inverse(identity),sk_c12) != sk_c11 ),
inference(component_clause,[status(thm)],[f478]) ).
fof(f481,plain,
( ~ sQ18_spl
| ~ sQ52_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f472,f475,f478,f280]) ).
fof(f482,definition,
( sQ53_spl
<=> multiply(sk_c4,sk_c12) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f484,plain,
( sQ53_spl
| multiply(sk_c4,sk_c12) != sk_c11 ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f485,definition,
( sQ54_spl
<=> multiply(inverse(sk_c4),sk_c12) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f487,plain,
( sQ54_spl
| multiply(inverse(sk_c4),sk_c12) != sk_c11 ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f488,plain,
( ~ sQ16_spl
| ~ sQ18_spl
| ~ sQ54_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f474,f482,f485,f280,f265]) ).
fof(f489,plain,
( sQ54_spl
| ~ sQ16_spl
| multiply(sk_c12,sk_c12) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f266,f487]) ).
fof(f490,plain,
( sQ53_spl
| ~ sQ15_spl
| sk_c5 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f254,f484]) ).
fof(f491,plain,
( ~ sQ1_spl
| multiply(sk_c11,sk_c12) = identity ),
inference(paramodulation,[status(thm)],[f158,f78]) ).
fof(f497,plain,
( ~ sQ3_spl
| ~ sQ17_spl
| inverse(sk_c6) != sk_c12 ),
inference(resolution,[status(thm)],[f278,f166]) ).
fof(f506,plain,
( ~ sQ3_spl
| ~ sQ17_spl
| ~ sQ2_spl
| sk_c12 != sk_c12 ),
inference(forward_demodulation,[status(thm)],[f162,f497]) ).
fof(f507,plain,
( ~ sQ3_spl
| ~ sQ17_spl
| ~ sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f506]) ).
fof(f508,plain,
( ~ sQ3_spl
| ~ sQ17_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f507]) ).
fof(f534,plain,
( ~ sQ6_spl
| ~ sQ9_spl
| multiply(sk_c8,sk_c11) = multiply(sk_c9,sk_c12) ),
inference(paramodulation,[status(thm)],[f178,f309]) ).
fof(f538,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ9_spl
| multiply(sk_c8,multiply(sk_c11,X0)) = multiply(sk_c9,multiply(sk_c12,X0)) ),
inference(paramodulation,[status(thm)],[f310,f309]) ).
fof(f542,plain,
( ~ sQ2_spl
| ~ sQ15_spl
| multiply(sk_c5,sk_c6) = multiply(sk_c4,identity) ),
inference(paramodulation,[status(thm)],[f307,f292]) ).
fof(f543,plain,
! [X0] :
( ~ sQ2_spl
| multiply(identity,X0) = multiply(sk_c12,multiply(sk_c6,X0)) ),
inference(paramodulation,[status(thm)],[f307,f79]) ).
fof(f544,plain,
! [X0] :
( ~ sQ2_spl
| X0 = multiply(sk_c12,multiply(sk_c6,X0)) ),
inference(forward_demodulation,[status(thm)],[f77,f543]) ).
fof(f548,plain,
( ~ sQ5_spl
| ~ sQ9_spl
| multiply(sk_c8,sk_c7) = multiply(sk_c9,identity) ),
inference(paramodulation,[status(thm)],[f306,f309]) ).
fof(f551,plain,
! [X0] :
( ~ sQ7_spl
| multiply(identity,X0) = multiply(sk_c8,multiply(sk_c9,X0)) ),
inference(paramodulation,[status(thm)],[f297,f79]) ).
fof(f552,plain,
! [X0] :
( ~ sQ7_spl
| X0 = multiply(sk_c8,multiply(sk_c9,X0)) ),
inference(forward_demodulation,[status(thm)],[f77,f551]) ).
fof(f560,plain,
( ~ sQ7_spl
| sk_c9 = multiply(inverse(sk_c8),identity) ),
inference(paramodulation,[status(thm)],[f297,f303]) ).
fof(f561,plain,
( ~ sQ2_spl
| sk_c6 = multiply(inverse(sk_c12),identity) ),
inference(paramodulation,[status(thm)],[f307,f303]) ).
fof(f562,plain,
( ~ sQ14_spl
| sk_c5 = multiply(inverse(sk_c12),sk_c11) ),
inference(paramodulation,[status(thm)],[f242,f303]) ).
fof(f563,plain,
( ~ sQ13_spl
| sk_c12 = multiply(inverse(sk_c3),sk_c11) ),
inference(paramodulation,[status(thm)],[f230,f303]) ).
fof(f564,plain,
( ~ sQ4_spl
| sk_c10 = multiply(inverse(sk_c7),sk_c12) ),
inference(paramodulation,[status(thm)],[f170,f303]) ).
fof(f565,plain,
! [X0] :
( ~ sQ3_spl
| multiply(sk_c11,X0) = multiply(inverse(sk_c6),multiply(sk_c12,X0)) ),
inference(paramodulation,[status(thm)],[f312,f303]) ).
fof(f566,plain,
( ~ sQ3_spl
| sk_c11 = multiply(inverse(sk_c6),sk_c12) ),
inference(paramodulation,[status(thm)],[f166,f303]) ).
fof(f567,plain,
( ~ sQ5_spl
| sk_c7 = multiply(inverse(sk_c10),identity) ),
inference(paramodulation,[status(thm)],[f306,f303]) ).
fof(f568,plain,
! [X0] :
( ~ sQ6_spl
| multiply(sk_c11,X0) = multiply(inverse(sk_c10),multiply(sk_c12,X0)) ),
inference(paramodulation,[status(thm)],[f310,f303]) ).
fof(f569,plain,
( ~ sQ6_spl
| sk_c11 = multiply(inverse(sk_c10),sk_c12) ),
inference(paramodulation,[status(thm)],[f178,f303]) ).
fof(f573,plain,
( ~ sQ10_spl
| sk_c11 = multiply(inverse(sk_c1),sk_c12) ),
inference(paramodulation,[status(thm)],[f194,f303]) ).
fof(f574,plain,
! [X0] :
( ~ sQ11_spl
| multiply(sk_c3,X0) = multiply(inverse(sk_c2),multiply(sk_c11,X0)) ),
inference(paramodulation,[status(thm)],[f305,f303]) ).
fof(f575,plain,
( ~ sQ11_spl
| sk_c3 = multiply(inverse(sk_c2),sk_c11) ),
inference(paramodulation,[status(thm)],[f206,f303]) ).
fof(f576,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(paramodulation,[status(thm)],[f303,f303]) ).
fof(f577,plain,
! [X0] : X0 = multiply(inverse(inverse(X0)),identity),
inference(paramodulation,[status(thm)],[f78,f303]) ).
fof(f578,plain,
! [X0] : X0 = multiply(inverse(identity),X0),
inference(paramodulation,[status(thm)],[f77,f303]) ).
fof(f580,plain,
! [X0] :
( ~ sQ15_spl
| multiply(sk_c12,X0) = multiply(inverse(sk_c4),multiply(sk_c5,X0)) ),
inference(paramodulation,[status(thm)],[f292,f303]) ).
fof(f581,plain,
( ~ sQ15_spl
| sk_c12 = multiply(inverse(sk_c4),sk_c5) ),
inference(paramodulation,[status(thm)],[f254,f303]) ).
fof(f583,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| sk_c9 = multiply(sk_c10,identity) ),
inference(forward_demodulation,[status(thm)],[f186,f560]) ).
fof(f584,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| sk_c6 = multiply(sk_c11,identity) ),
inference(forward_demodulation,[status(thm)],[f158,f561]) ).
fof(f585,plain,
( ~ sQ14_spl
| ~ sQ1_spl
| sk_c5 = multiply(sk_c11,sk_c11) ),
inference(forward_demodulation,[status(thm)],[f158,f562]) ).
fof(f586,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| sk_c10 = multiply(sk_c10,sk_c12) ),
inference(forward_demodulation,[status(thm)],[f174,f564]) ).
fof(f587,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ2_spl
| multiply(sk_c11,X0) = multiply(sk_c12,multiply(sk_c12,X0)) ),
inference(forward_demodulation,[status(thm)],[f162,f565]) ).
fof(f588,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| sk_c11 = multiply(sk_c12,sk_c12) ),
inference(forward_demodulation,[status(thm)],[f162,f566]) ).
fof(f592,plain,
( ~ sQ10_spl
| ~ sQ0_spl
| sk_c11 = multiply(sk_c12,sk_c12) ),
inference(forward_demodulation,[status(thm)],[f155,f573]) ).
fof(f593,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ12_spl
| multiply(sk_c3,X0) = multiply(sk_c3,multiply(sk_c11,X0)) ),
inference(forward_demodulation,[status(thm)],[f218,f574]) ).
fof(f594,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| sk_c3 = multiply(sk_c3,sk_c11) ),
inference(forward_demodulation,[status(thm)],[f218,f575]) ).
fof(f595,plain,
( sQ48_spl
| sk_c12 != sk_c11 ),
inference(backward_demodulation,[status(thm)],[f601,f440]) ).
fof(f596,plain,
( ~ sQ5_spl
| ~ sQ9_spl
| multiply(sk_c8,sk_c7) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f601,f548]) ).
fof(f597,plain,
( ~ sQ2_spl
| ~ sQ15_spl
| multiply(sk_c5,sk_c6) = sk_c4 ),
inference(backward_demodulation,[status(thm)],[f601,f542]) ).
fof(f598,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| sk_c6 = sk_c11 ),
inference(backward_demodulation,[status(thm)],[f601,f584]) ).
fof(f599,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| sk_c9 = sk_c10 ),
inference(backward_demodulation,[status(thm)],[f601,f583]) ).
fof(f600,plain,
( ~ sQ5_spl
| sk_c7 = inverse(sk_c10) ),
inference(backward_demodulation,[status(thm)],[f601,f567]) ).
fof(f601,plain,
! [X0] : X0 = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f576,f577]) ).
fof(f602,plain,
( sQ52_spl
| sk_c12 != sk_c11 ),
inference(backward_demodulation,[status(thm)],[f578,f480]) ).
fof(f603,plain,
( sQ22_spl
| sk_c11 != sk_c12 ),
inference(backward_demodulation,[status(thm)],[f578,f328]) ).
fof(f606,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| multiply(sk_c12,sk_c11) = identity ),
inference(backward_demodulation,[status(thm)],[f598,f307]) ).
fof(f607,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| inverse(sk_c11) = sk_c12 ),
inference(backward_demodulation,[status(thm)],[f598,f162]) ).
fof(f608,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| multiply(sk_c11,sk_c11) = sk_c12 ),
inference(backward_demodulation,[status(thm)],[f598,f166]) ).
fof(f609,plain,
( ~ sQ2_spl
| ~ sQ15_spl
| ~ sQ1_spl
| multiply(sk_c5,sk_c11) = sk_c4 ),
inference(backward_demodulation,[status(thm)],[f598,f597]) ).
fof(f610,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ1_spl
| X0 = multiply(sk_c12,multiply(sk_c11,X0)) ),
inference(backward_demodulation,[status(thm)],[f598,f544]) ).
fof(f611,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| multiply(sk_c8,sk_c10) = identity ),
inference(backward_demodulation,[status(thm)],[f599,f297]) ).
fof(f613,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| inverse(sk_c10) = sk_c8 ),
inference(backward_demodulation,[status(thm)],[f599,f182]) ).
fof(f616,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ8_spl
| X0 = multiply(sk_c8,multiply(sk_c10,X0)) ),
inference(backward_demodulation,[status(thm)],[f599,f552]) ).
fof(f617,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| multiply(sk_c8,multiply(sk_c11,X0)) = multiply(sk_c10,multiply(sk_c12,X0)) ),
inference(backward_demodulation,[status(thm)],[f599,f538]) ).
fof(f618,plain,
( ~ sQ6_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| multiply(sk_c8,sk_c11) = multiply(sk_c10,sk_c12) ),
inference(backward_demodulation,[status(thm)],[f599,f534]) ).
fof(f619,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| sk_c11 = multiply(sk_c7,sk_c12) ),
inference(backward_demodulation,[status(thm)],[f600,f569]) ).
fof(f620,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ5_spl
| multiply(sk_c11,X0) = multiply(sk_c7,multiply(sk_c12,X0)) ),
inference(backward_demodulation,[status(thm)],[f600,f568]) ).
fof(f631,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ14_spl
| sk_c5 = sk_c12 ),
inference(forward_demodulation,[status(thm)],[f585,f608]) ).
fof(f632,plain,
( ~ sQ2_spl
| ~ sQ15_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ14_spl
| multiply(sk_c12,sk_c11) = sk_c4 ),
inference(forward_demodulation,[status(thm)],[f631,f609]) ).
fof(f638,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ15_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ14_spl
| X0 = multiply(inverse(sk_c4),X0) ),
inference(backward_demodulation,[status(thm)],[f645,f578]) ).
fof(f645,plain,
( ~ sQ2_spl
| ~ sQ15_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ14_spl
| identity = sk_c4 ),
inference(forward_demodulation,[status(thm)],[f606,f632]) ).
fof(f646,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ2_spl
| ~ sQ15_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ14_spl
| multiply(sk_c8,sk_c10) = sk_c4 ),
inference(forward_demodulation,[status(thm)],[f645,f611]) ).
fof(f648,plain,
( ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| multiply(sk_c8,sk_c10) = sk_c12 ),
inference(backward_demodulation,[status(thm)],[f652,f170]) ).
fof(f651,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| multiply(sk_c12,X0) = multiply(sk_c8,multiply(sk_c10,X0)) ),
inference(backward_demodulation,[status(thm)],[f652,f311]) ).
fof(f652,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| sk_c7 = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f600,f613]) ).
fof(f654,plain,
( ~ sQ6_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ4_spl
| ~ sQ5_spl
| multiply(sk_c8,sk_c11) = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f586,f618]) ).
fof(f655,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ8_spl
| sk_c11 = multiply(sk_c8,sk_c12) ),
inference(forward_demodulation,[status(thm)],[f652,f619]) ).
fof(f656,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ8_spl
| multiply(sk_c11,X0) = multiply(sk_c8,multiply(sk_c12,X0)) ),
inference(forward_demodulation,[status(thm)],[f652,f620]) ).
fof(f676,plain,
( sQ16_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ2_spl
| ~ sQ15_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ14_spl
| inverse(sk_c12) != sk_c12 ),
inference(backward_demodulation,[status(thm)],[f683,f267]) ).
fof(f678,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ15_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ14_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| X0 = multiply(inverse(sk_c12),X0) ),
inference(backward_demodulation,[status(thm)],[f683,f638]) ).
fof(f683,plain,
( ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ2_spl
| ~ sQ15_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ14_spl
| sk_c4 = sk_c12 ),
inference(forward_demodulation,[status(thm)],[f646,f648]) ).
fof(f687,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| X0 = multiply(sk_c1,multiply(sk_c11,X0)) ),
inference(backward_demodulation,[status(thm)],[f698,f308]) ).
fof(f688,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| sk_c11 = sk_c12 ),
inference(backward_demodulation,[status(thm)],[f698,f588]) ).
fof(f689,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| X0 = multiply(sk_c11,X0) ),
inference(backward_demodulation,[status(thm)],[f698,f610]) ).
fof(f690,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| multiply(sk_c11,X0) = multiply(sk_c12,X0) ),
inference(backward_demodulation,[status(thm)],[f698,f587]) ).
fof(f693,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ4_spl
| multiply(sk_c11,X0) = multiply(sk_c8,X0) ),
inference(backward_demodulation,[status(thm)],[f698,f656]) ).
fof(f694,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ4_spl
| ~ sQ5_spl
| multiply(sk_c8,multiply(sk_c11,X0)) = multiply(sk_c10,X0) ),
inference(backward_demodulation,[status(thm)],[f698,f617]) ).
fof(f698,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| multiply(sk_c12,X0) = X0 ),
inference(forward_demodulation,[status(thm)],[f616,f651]) ).
fof(f699,plain,
( sQ16_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ2_spl
| ~ sQ15_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ14_spl
| sk_c11 != sk_c12 ),
inference(forward_demodulation,[status(thm)],[f158,f676]) ).
fof(f705,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ15_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ14_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| X0 = multiply(sk_c11,X0) ),
inference(forward_demodulation,[status(thm)],[f158,f678]) ).
fof(f719,plain,
( ~ sQ10_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ2_spl
| ~ sQ15_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ14_spl
| sk_c11 = sk_c12 ),
inference(backward_demodulation,[status(thm)],[f720,f194]) ).
fof(f720,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ2_spl
| ~ sQ15_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ14_spl
| X0 = multiply(sk_c1,X0) ),
inference(forward_demodulation,[status(thm)],[f705,f687]) ).
fof(f721,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f688,f595]) ).
fof(f722,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f721]) ).
fof(f743,plain,
( sQ49_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c12 != sk_c12 ),
inference(forward_demodulation,[status(thm)],[f607,f451]) ).
fof(f744,plain,
( sQ49_spl
| ~ sQ1_spl
| ~ sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f743]) ).
fof(f745,plain,
( sQ49_spl
| ~ sQ1_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f744]) ).
fof(f811,plain,
( sQ16_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ2_spl
| ~ sQ15_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ14_spl
| ~ sQ10_spl
| sk_c12 != sk_c12 ),
inference(forward_demodulation,[status(thm)],[f719,f699]) ).
fof(f812,plain,
( sQ16_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ2_spl
| ~ sQ15_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ14_spl
| ~ sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f811]) ).
fof(f813,plain,
( sQ16_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ2_spl
| ~ sQ15_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ14_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f812]) ).
fof(f820,plain,
( ~ sQ15_spl
| ~ sQ16_spl
| sk_c12 = multiply(sk_c12,sk_c5) ),
inference(forward_demodulation,[status(thm)],[f266,f581]) ).
fof(f821,plain,
( ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ14_spl
| sk_c12 = sk_c11 ),
inference(forward_demodulation,[status(thm)],[f242,f820]) ).
fof(f822,plain,
( ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ14_spl
| sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f821,f603]) ).
fof(f823,plain,
( ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ14_spl
| sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f822]) ).
fof(f824,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ16_spl
| multiply(sk_c12,X0) = multiply(sk_c12,multiply(sk_c5,X0)) ),
inference(forward_demodulation,[status(thm)],[f266,f580]) ).
fof(f825,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| multiply(sk_c11,X0) = multiply(sk_c12,X0) ),
inference(forward_demodulation,[status(thm)],[f824,f295]) ).
fof(f827,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| multiply(sk_c12,X0) = multiply(sk_c2,multiply(sk_c3,X0)) ),
inference(forward_demodulation,[status(thm)],[f825,f305]) ).
fof(f828,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| multiply(sk_c3,X0) = multiply(sk_c3,multiply(sk_c12,X0)) ),
inference(forward_demodulation,[status(thm)],[f825,f593]) ).
fof(f829,plain,
( ~ sQ10_spl
| ~ sQ0_spl
| sQ54_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f592,f489]) ).
fof(f830,plain,
( ~ sQ10_spl
| ~ sQ0_spl
| sQ54_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f829]) ).
fof(f849,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ3_spl
| X0 = multiply(sk_c12,X0) ),
inference(forward_demodulation,[status(thm)],[f690,f689]) ).
fof(f850,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ3_spl
| sk_c6 = identity ),
inference(forward_demodulation,[status(thm)],[f849,f307]) ).
fof(f856,plain,
( sQ51_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ3_spl
| inverse(sk_c11) != sk_c11 ),
inference(backward_demodulation,[status(thm)],[f859,f477]) ).
fof(f857,plain,
( sQ23_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ3_spl
| inverse(inverse(identity)) != inverse(sk_c11) ),
inference(backward_demodulation,[status(thm)],[f859,f331]) ).
fof(f859,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ3_spl
| sk_c11 = identity ),
inference(forward_demodulation,[status(thm)],[f598,f850]) ).
fof(f883,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| multiply(sk_c11,sk_c11) = sk_c12 ),
inference(forward_demodulation,[status(thm)],[f598,f166]) ).
fof(f884,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| multiply(sk_c12,sk_c11) = sk_c12 ),
inference(forward_demodulation,[status(thm)],[f690,f883]) ).
fof(f885,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| sk_c11 = sk_c12 ),
inference(forward_demodulation,[status(thm)],[f849,f884]) ).
fof(f888,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sk_c11 = multiply(inverse(sk_c11),sk_c12) ),
inference(forward_demodulation,[status(thm)],[f598,f566]) ).
fof(f889,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sk_c11 = multiply(sk_c12,sk_c12) ),
inference(forward_demodulation,[status(thm)],[f607,f888]) ).
fof(f890,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ3_spl
| sk_c12 = identity ),
inference(backward_demodulation,[status(thm)],[f902,f859]) ).
fof(f892,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| inverse(sk_c12) = sk_c12 ),
inference(backward_demodulation,[status(thm)],[f902,f607]) ).
fof(f902,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| sk_c11 = sk_c12 ),
inference(forward_demodulation,[status(thm)],[f849,f889]) ).
fof(f911,plain,
( ~ sQ6_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| multiply(sk_c8,sk_c12) = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f902,f654]) ).
fof(f914,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| multiply(sk_c8,multiply(sk_c12,X0)) = multiply(sk_c10,X0) ),
inference(forward_demodulation,[status(thm)],[f902,f694]) ).
fof(f919,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| multiply(sk_c8,X0) = multiply(sk_c10,X0) ),
inference(forward_demodulation,[status(thm)],[f849,f914]) ).
fof(f920,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| multiply(sk_c12,X0) = multiply(sk_c8,X0) ),
inference(forward_demodulation,[status(thm)],[f902,f693]) ).
fof(f921,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| X0 = multiply(sk_c8,X0) ),
inference(forward_demodulation,[status(thm)],[f849,f920]) ).
fof(f923,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ9_spl
| X0 = multiply(sk_c10,X0) ),
inference(forward_demodulation,[status(thm)],[f919,f921]) ).
fof(f928,plain,
( ~ sQ5_spl
| ~ sQ9_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| multiply(sk_c10,sk_c7) = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f919,f596]) ).
fof(f929,plain,
( ~ sQ5_spl
| ~ sQ9_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sk_c7 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f923,f928]) ).
fof(f934,plain,
( ~ sQ5_spl
| ~ sQ9_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sk_c8 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f652,f929]) ).
fof(f947,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| sk_c12 = multiply(sk_c8,sk_c12) ),
inference(forward_demodulation,[status(thm)],[f902,f655]) ).
fof(f952,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ9_spl
| sk_c12 = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f911,f947]) ).
fof(f964,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ9_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sk_c8 = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f934,f599]) ).
fof(f968,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ9_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sk_c8 = sk_c12 ),
inference(forward_demodulation,[status(thm)],[f952,f964]) ).
fof(f975,plain,
( ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ9_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| inverse(sk_c12) = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f968,f186]) ).
fof(f976,plain,
( ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ9_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| inverse(sk_c12) = sk_c12 ),
inference(forward_demodulation,[status(thm)],[f952,f975]) ).
fof(f1081,plain,
( sQ51_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ3_spl
| inverse(sk_c12) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f902,f856]) ).
fof(f1082,plain,
( sQ51_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ9_spl
| ~ sQ6_spl
| sk_c12 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f976,f1081]) ).
fof(f1083,plain,
( sQ51_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ9_spl
| ~ sQ6_spl
| sk_c12 != sk_c12 ),
inference(forward_demodulation,[status(thm)],[f902,f1082]) ).
fof(f1084,plain,
( sQ51_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ9_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1083]) ).
fof(f1085,plain,
( sQ51_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ9_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f1084]) ).
fof(f1087,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| multiply(sk_c12,sk_c12) = identity ),
inference(backward_demodulation,[status(thm)],[f1093,f491]) ).
fof(f1093,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| multiply(sk_c12,X0) = multiply(sk_c11,X0) ),
inference(forward_demodulation,[status(thm)],[f305,f827]) ).
fof(f1100,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| multiply(sk_c12,X0) = multiply(sk_c3,multiply(sk_c12,X0)) ),
inference(forward_demodulation,[status(thm)],[f1093,f304]) ).
fof(f1104,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| sk_c3 = multiply(sk_c12,sk_c11) ),
inference(backward_demodulation,[status(thm)],[f1105,f594]) ).
fof(f1105,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ12_spl
| multiply(sk_c12,X0) = multiply(sk_c3,X0) ),
inference(forward_demodulation,[status(thm)],[f828,f1100]) ).
fof(f1106,plain,
( ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ12_spl
| multiply(sk_c12,sk_c12) = sk_c11 ),
inference(forward_demodulation,[status(thm)],[f1105,f230]) ).
fof(f1111,plain,
( ~ sQ13_spl
| ~ sQ22_spl
| sk_c12 = multiply(inverse(sk_c3),sk_c12) ),
inference(backward_demodulation,[status(thm)],[f1121,f563]) ).
fof(f1117,plain,
( ~ sQ1_spl
| ~ sQ22_spl
| inverse(sk_c12) = sk_c12 ),
inference(backward_demodulation,[status(thm)],[f1121,f158]) ).
fof(f1119,plain,
( sQ53_spl
| ~ sQ15_spl
| ~ sQ22_spl
| sk_c5 != sk_c12 ),
inference(backward_demodulation,[status(thm)],[f1121,f490]) ).
fof(f1121,plain,
( ~ sQ22_spl
| sk_c11 = sk_c12 ),
inference(forward_demodulation,[status(thm)],[f578,f327]) ).
fof(f1122,plain,
( ~ sQ14_spl
| ~ sQ1_spl
| sk_c5 = multiply(sk_c11,sk_c11) ),
inference(forward_demodulation,[status(thm)],[f158,f562]) ).
fof(f1123,plain,
( ~ sQ14_spl
| ~ sQ1_spl
| ~ sQ11_spl
| ~ sQ15_spl
| ~ sQ16_spl
| sk_c5 = multiply(sk_c12,sk_c11) ),
inference(forward_demodulation,[status(thm)],[f1093,f1122]) ).
fof(f1124,plain,
( ~ sQ14_spl
| ~ sQ1_spl
| ~ sQ11_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ22_spl
| sk_c5 = multiply(sk_c12,sk_c12) ),
inference(forward_demodulation,[status(thm)],[f1121,f1123]) ).
fof(f1125,plain,
( ~ sQ14_spl
| ~ sQ1_spl
| ~ sQ11_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ22_spl
| ~ sQ10_spl
| ~ sQ0_spl
| sk_c5 = sk_c11 ),
inference(forward_demodulation,[status(thm)],[f592,f1124]) ).
fof(f1128,plain,
( ~ sQ14_spl
| ~ sQ1_spl
| ~ sQ11_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ22_spl
| ~ sQ10_spl
| ~ sQ0_spl
| sk_c5 = sk_c12 ),
inference(forward_demodulation,[status(thm)],[f1121,f1125]) ).
fof(f1143,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ0_spl
| sk_c11 = identity ),
inference(forward_demodulation,[status(thm)],[f592,f1087]) ).
fof(f1146,plain,
( sQ23_spl
| ~ sQ1_spl
| ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ22_spl
| inverse(inverse(identity)) != inverse(sk_c12) ),
inference(backward_demodulation,[status(thm)],[f1153,f331]) ).
fof(f1150,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ22_spl
| X0 = multiply(X0,sk_c12) ),
inference(backward_demodulation,[status(thm)],[f1153,f601]) ).
fof(f1152,plain,
( sQ21_spl
| ~ sQ1_spl
| ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ22_spl
| inverse(sk_c12) != sk_c12 ),
inference(backward_demodulation,[status(thm)],[f1153,f418]) ).
fof(f1153,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ22_spl
| sk_c12 = identity ),
inference(forward_demodulation,[status(thm)],[f1121,f1143]) ).
fof(f1200,plain,
( sQ53_spl
| ~ sQ15_spl
| ~ sQ22_spl
| ~ sQ14_spl
| ~ sQ1_spl
| ~ sQ11_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ0_spl
| sk_c12 != sk_c12 ),
inference(forward_demodulation,[status(thm)],[f1128,f1119]) ).
fof(f1201,plain,
( sQ53_spl
| ~ sQ15_spl
| ~ sQ22_spl
| ~ sQ14_spl
| ~ sQ1_spl
| ~ sQ11_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1200]) ).
fof(f1202,plain,
( sQ53_spl
| ~ sQ15_spl
| ~ sQ22_spl
| ~ sQ14_spl
| ~ sQ1_spl
| ~ sQ11_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1201]) ).
fof(f1211,plain,
( sQ23_spl
| ~ sQ1_spl
| ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ22_spl
| inverse(inverse(sk_c12)) != inverse(sk_c12) ),
inference(forward_demodulation,[status(thm)],[f1153,f1146]) ).
fof(f1212,plain,
( sQ23_spl
| ~ sQ1_spl
| ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ22_spl
| inverse(sk_c12) != inverse(sk_c12) ),
inference(forward_demodulation,[status(thm)],[f1117,f1211]) ).
fof(f1213,plain,
( sQ23_spl
| ~ sQ1_spl
| ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ22_spl
| sk_c12 != inverse(sk_c12) ),
inference(forward_demodulation,[status(thm)],[f1117,f1212]) ).
fof(f1214,plain,
( sQ23_spl
| ~ sQ1_spl
| ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ22_spl
| sk_c12 != sk_c12 ),
inference(forward_demodulation,[status(thm)],[f1117,f1213]) ).
fof(f1215,plain,
( sQ23_spl
| ~ sQ1_spl
| ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ22_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1214]) ).
fof(f1216,plain,
( sQ23_spl
| ~ sQ1_spl
| ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1215]) ).
fof(f1225,plain,
( sQ21_spl
| ~ sQ1_spl
| ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ22_spl
| sk_c12 != sk_c12 ),
inference(forward_demodulation,[status(thm)],[f1117,f1152]) ).
fof(f1226,plain,
( sQ21_spl
| ~ sQ1_spl
| ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ22_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1225]) ).
fof(f1227,plain,
( sQ21_spl
| ~ sQ1_spl
| ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1226]) ).
fof(f1250,plain,
( sQ24_spl
| ~ sQ1_spl
| ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ22_spl
| inverse(sk_c12) != sk_c12 ),
inference(forward_demodulation,[status(thm)],[f1153,f335]) ).
fof(f1251,plain,
( sQ24_spl
| ~ sQ1_spl
| ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ22_spl
| sk_c12 != sk_c12 ),
inference(forward_demodulation,[status(thm)],[f1117,f1250]) ).
fof(f1252,plain,
( sQ24_spl
| ~ sQ1_spl
| ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ22_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1251]) ).
fof(f1253,plain,
( sQ24_spl
| ~ sQ1_spl
| ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1252]) ).
fof(f1257,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ22_spl
| multiply(X0,sk_c12) != sk_c12
| inverse(X0) != sk_c12 ),
inference(forward_demodulation,[status(thm)],[f1121,f278]) ).
fof(f1258,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ0_spl
| X0 != sk_c12
| inverse(X0) != sk_c12 ),
inference(forward_demodulation,[status(thm)],[f1150,f1257]) ).
fof(f1259,plain,
( ~ sQ17_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ0_spl
| inverse(sk_c12) != sk_c12 ),
inference(destructive_equality_resolution,[status(thm)],[f1258]) ).
fof(f1260,plain,
( ~ sQ17_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1259,f1117]) ).
fof(f1261,plain,
( ~ sQ17_spl
| ~ sQ22_spl
| ~ sQ1_spl
| ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1260]) ).
fof(f1382,plain,
( sQ22_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| sk_c12 != sk_c12 ),
inference(forward_demodulation,[status(thm)],[f885,f603]) ).
fof(f1383,plain,
( sQ22_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1382]) ).
fof(f1384,plain,
( sQ22_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f1383]) ).
fof(f1619,plain,
( sQ24_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ3_spl
| inverse(sk_c12) != sk_c12 ),
inference(forward_demodulation,[status(thm)],[f890,f335]) ).
fof(f1620,plain,
( sQ24_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ3_spl
| sk_c12 != sk_c12 ),
inference(forward_demodulation,[status(thm)],[f892,f1619]) ).
fof(f1621,plain,
( sQ24_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1620]) ).
fof(f1622,plain,
( sQ24_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f1621]) ).
fof(f1623,plain,
( sQ21_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f418,f333,f323]) ).
fof(f1625,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ22_spl
| sk_c3 = multiply(sk_c12,sk_c12) ),
inference(forward_demodulation,[status(thm)],[f1121,f1104]) ).
fof(f1629,plain,
( ~ sQ14_spl
| ~ sQ22_spl
| sk_c5 = multiply(inverse(sk_c12),sk_c12) ),
inference(forward_demodulation,[status(thm)],[f1121,f562]) ).
fof(f1633,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ22_spl
| multiply(sk_c5,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f1637,f77]) ).
fof(f1637,plain,
( ~ sQ14_spl
| ~ sQ22_spl
| sk_c5 = identity ),
inference(forward_demodulation,[status(thm)],[f78,f1629]) ).
fof(f1641,plain,
( sQ1_spl
| ~ sQ22_spl
| inverse(sk_c12) != sk_c12 ),
inference(forward_demodulation,[status(thm)],[f1121,f159]) ).
fof(f1652,plain,
( ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ12_spl
| ~ sQ22_spl
| sk_c3 = sk_c11 ),
inference(forward_demodulation,[status(thm)],[f1625,f1106]) ).
fof(f1656,plain,
( ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ12_spl
| ~ sQ22_spl
| sk_c3 = sk_c12 ),
inference(forward_demodulation,[status(thm)],[f1121,f1652]) ).
fof(f1680,plain,
( ~ sQ13_spl
| ~ sQ22_spl
| ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ12_spl
| sk_c12 = multiply(inverse(sk_c12),sk_c12) ),
inference(forward_demodulation,[status(thm)],[f1656,f1111]) ).
fof(f1681,plain,
( ~ sQ13_spl
| ~ sQ22_spl
| ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ12_spl
| sk_c12 = identity ),
inference(forward_demodulation,[status(thm)],[f78,f1680]) ).
fof(f1689,plain,
( ~ sQ13_spl
| ~ sQ22_spl
| ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ12_spl
| sk_c12 = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f1637,f1681]) ).
fof(f1709,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| ~ sQ22_spl
| multiply(sk_c12,sk_c1) = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f1637,f299]) ).
fof(f1710,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| ~ sQ22_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ12_spl
| multiply(sk_c12,sk_c1) = sk_c12 ),
inference(forward_demodulation,[status(thm)],[f1689,f1709]) ).
fof(f1746,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| ~ sQ22_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ12_spl
| sk_c1 = sk_c12 ),
inference(backward_demodulation,[status(thm)],[f1753,f1710]) ).
fof(f1753,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ22_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ12_spl
| multiply(sk_c12,X0) = X0 ),
inference(forward_demodulation,[status(thm)],[f1689,f1633]) ).
fof(f1788,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| ~ sQ22_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ12_spl
| inverse(sk_c12) = sk_c12 ),
inference(backward_demodulation,[status(thm)],[f1746,f155]) ).
fof(f1795,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| ~ sQ22_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ12_spl
| sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1788,f1641]) ).
fof(f1796,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| ~ sQ22_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ12_spl
| sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f1795]) ).
fof(f1856,plain,
( sQ23_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ3_spl
| inverse(inverse(sk_c12)) != inverse(sk_c11) ),
inference(forward_demodulation,[status(thm)],[f890,f857]) ).
fof(f1857,plain,
( sQ23_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ3_spl
| inverse(sk_c12) != inverse(sk_c11) ),
inference(forward_demodulation,[status(thm)],[f892,f1856]) ).
fof(f1858,plain,
( sQ23_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ3_spl
| sk_c12 != inverse(sk_c11) ),
inference(forward_demodulation,[status(thm)],[f892,f1857]) ).
fof(f1859,plain,
( sQ23_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ22_spl
| sk_c12 != inverse(sk_c12) ),
inference(forward_demodulation,[status(thm)],[f1121,f1858]) ).
fof(f1860,plain,
( sQ23_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ22_spl
| sk_c12 != sk_c12 ),
inference(forward_demodulation,[status(thm)],[f892,f1859]) ).
fof(f1861,plain,
( sQ23_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ22_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1860]) ).
fof(f1862,plain,
( sQ23_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1861]) ).
fof(f2152,plain,
( sQ52_spl
| ~ sQ22_spl
| sk_c12 != sk_c12 ),
inference(forward_demodulation,[status(thm)],[f1121,f602]) ).
fof(f2153,plain,
( sQ52_spl
| ~ sQ22_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2152]) ).
fof(f2154,plain,
( sQ52_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f2153]) ).
fof(f2155,plain,
$false,
inference(sat_refutation,[status(thm)],[f160,f164,f168,f172,f176,f180,f184,f188,f192,f197,f198,f199,f200,f201,f202,f203,f204,f208,f209,f210,f211,f212,f213,f214,f215,f216,f220,f232,f244,f245,f246,f247,f248,f249,f250,f251,f252,f256,f257,f258,f259,f260,f261,f262,f263,f264,f268,f269,f270,f271,f272,f273,f274,f275,f289,f332,f339,f356,f444,f448,f449,f463,f468,f481,f488,f508,f722,f745,f813,f823,f830,f1085,f1202,f1216,f1227,f1253,f1261,f1384,f1622,f1623,f1796,f1862,f2154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP220-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n009.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 20:06:42 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.12/0.47 % Refutation found
% 0.12/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.48 % Elapsed time: 0.111861 seconds
% 0.12/0.48 % CPU time: 0.607916 seconds
% 0.12/0.48 % Total memory used: 117.270 MB
% 0.12/0.48 % Net memory used: 116.705 MB
%------------------------------------------------------------------------------