%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP282-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 12:33:18 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.44s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 90
% Syntax : Number of formulae : 503 ( 14 unt; 39 def)
% Number of atoms : 2170 ( 562 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 3185 (1518 ~;1628 |; 0 &)
% ( 39 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 41 ( 39 usr; 40 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 77 ( 77 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : multiply(identity,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : multiply(inverse(X),X) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( inverse(sk_c9) = sk_c7
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( inverse(sk_c4) = sk_c9
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c9
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( inverse(sk_c9) = sk_c7
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( inverse(sk_c4) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( inverse(sk_c9) = sk_c7
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c9,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c9
| multiply(sk_c9,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
( inverse(sk_c9) = sk_c7
| multiply(sk_c9,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( inverse(sk_c4) = sk_c9
| multiply(sk_c9,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c9
| multiply(sk_c9,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c9,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c9,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| multiply(sk_c9,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
( inverse(sk_c9) = sk_c7
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
( inverse(sk_c4) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
( inverse(sk_c9) = sk_c7
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
! [X4,X5,X6,X1,X3,X2] :
( multiply(X2,sk_c9) != sk_c7
| inverse(X3) != X2
| multiply(X3,X2) != sk_c7
| multiply(X1,sk_c7) != sk_c9
| inverse(X1) != sk_c9
| inverse(sk_c9) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c9
| multiply(sk_c8,sk_c9) != sk_c7
| inverse(X6) != sk_c9
| multiply(X6,sk_c9) != X5
| multiply(sk_c9,X5) != sk_c8
| inverse(X4) != sk_c9
| multiply(X4,sk_c9) != sk_c8
| multiply(sk_c9,sk_c8) != sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,plain,
! [X0] : multiply(identity,X0) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f54,plain,
! [X0] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f55,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f56,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c9,sk_c8) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f58,plain,
( inverse(sk_c9) = sk_c7
| multiply(sk_c9,sk_c8) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f59,plain,
( inverse(sk_c4) = sk_c9
| multiply(sk_c9,sk_c8) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f60,plain,
( multiply(sk_c4,sk_c7) = sk_c9
| multiply(sk_c9,sk_c8) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f61,plain,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c9,sk_c8) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f62,plain,
( inverse(sk_c5) = sk_c6
| multiply(sk_c9,sk_c8) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f63,plain,
( multiply(sk_c6,sk_c9) = sk_c7
| multiply(sk_c9,sk_c8) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f64,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f65,plain,
( multiply(sk_c8,sk_c7) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f66,plain,
( inverse(sk_c9) = sk_c7
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f67,plain,
( inverse(sk_c4) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f68,plain,
( multiply(sk_c4,sk_c7) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f69,plain,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f70,plain,
( inverse(sk_c5) = sk_c6
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f71,plain,
( multiply(sk_c6,sk_c9) = sk_c7
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f72,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| inverse(sk_c1) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f73,plain,
( multiply(sk_c8,sk_c7) = sk_c9
| inverse(sk_c1) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f74,plain,
( inverse(sk_c9) = sk_c7
| inverse(sk_c1) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f75,plain,
( inverse(sk_c4) = sk_c9
| inverse(sk_c1) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f76,plain,
( multiply(sk_c4,sk_c7) = sk_c9
| inverse(sk_c1) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f77,plain,
( multiply(sk_c5,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f78,plain,
( inverse(sk_c5) = sk_c6
| inverse(sk_c1) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f79,plain,
( multiply(sk_c6,sk_c9) = sk_c7
| inverse(sk_c1) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f80,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f81,plain,
( multiply(sk_c8,sk_c7) = sk_c9
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f82,plain,
( inverse(sk_c9) = sk_c7
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f83,plain,
( inverse(sk_c4) = sk_c9
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f84,plain,
( multiply(sk_c4,sk_c7) = sk_c9
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f85,plain,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f86,plain,
( inverse(sk_c5) = sk_c6
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f87,plain,
( multiply(sk_c6,sk_c9) = sk_c7
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f88,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c2,sk_c9) = sk_c3 ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f89,plain,
( multiply(sk_c8,sk_c7) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c3 ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f90,plain,
( inverse(sk_c9) = sk_c7
| multiply(sk_c2,sk_c9) = sk_c3 ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f91,plain,
( inverse(sk_c4) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c3 ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f92,plain,
( multiply(sk_c4,sk_c7) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c3 ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f93,plain,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c2,sk_c9) = sk_c3 ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f94,plain,
( inverse(sk_c5) = sk_c6
| multiply(sk_c2,sk_c9) = sk_c3 ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f95,plain,
( multiply(sk_c6,sk_c9) = sk_c7
| multiply(sk_c2,sk_c9) = sk_c3 ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f96,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| inverse(sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f97,plain,
( multiply(sk_c8,sk_c7) = sk_c9
| inverse(sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f98,plain,
( inverse(sk_c9) = sk_c7
| inverse(sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f99,plain,
( inverse(sk_c4) = sk_c9
| inverse(sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f100,plain,
( multiply(sk_c4,sk_c7) = sk_c9
| inverse(sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f101,plain,
( multiply(sk_c5,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f102,plain,
( inverse(sk_c5) = sk_c6
| inverse(sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f103,plain,
( multiply(sk_c6,sk_c9) = sk_c7
| inverse(sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f104,plain,
! [X2] :
( multiply(X2,sk_c9) != sk_c7
| ! [X3] :
( inverse(X3) != X2
| multiply(X3,X2) != sk_c7
| ! [X1] :
( multiply(X1,sk_c7) != sk_c9
| inverse(X1) != sk_c9
| inverse(sk_c9) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c9
| multiply(sk_c8,sk_c9) != sk_c7
| ! [X6] :
( inverse(X6) != sk_c9
| ! [X5] :
( multiply(X6,sk_c9) != X5
| multiply(sk_c9,X5) != sk_c8
| ! [X4] :
( inverse(X4) != sk_c9
| multiply(X4,sk_c9) != sk_c8
| multiply(sk_c9,sk_c8) != sk_c7 ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f52]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4,X5] :
( multiply(X5,sk_c9) != sk_c7
| inverse(X4) != X5
| multiply(X4,X5) != sk_c7
| multiply(X3,sk_c7) != sk_c9
| inverse(X3) != sk_c9
| inverse(sk_c9) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c9
| multiply(sk_c8,sk_c9) != sk_c7
| inverse(X2) != sk_c9
| multiply(X2,sk_c9) != X1
| multiply(sk_c9,X1) != sk_c8
| inverse(X0) != sk_c9
| multiply(X0,sk_c9) != sk_c8
| multiply(sk_c9,sk_c8) != sk_c7 ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f106,definition,
( sQ0_spl
<=> multiply(sk_c9,sk_c8) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f107,plain,
( ~ sQ0_spl
| multiply(sk_c9,sk_c8) = sk_c7 ),
inference(component_clause,[status(thm)],[f106]) ).
fof(f108,plain,
( sQ0_spl
| multiply(sk_c9,sk_c8) != sk_c7 ),
inference(component_clause,[status(thm)],[f106]) ).
fof(f109,definition,
( sQ1_spl
<=> multiply(sk_c8,sk_c9) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f110,plain,
( ~ sQ1_spl
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(component_clause,[status(thm)],[f109]) ).
fof(f111,plain,
( sQ1_spl
| multiply(sk_c8,sk_c9) != sk_c7 ),
inference(component_clause,[status(thm)],[f109]) ).
fof(f112,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f56,f106,f109]) ).
fof(f113,definition,
( sQ2_spl
<=> multiply(sk_c8,sk_c7) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f114,plain,
( ~ sQ2_spl
| multiply(sk_c8,sk_c7) = sk_c9 ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f115,plain,
( sQ2_spl
| multiply(sk_c8,sk_c7) != sk_c9 ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f117,definition,
( sQ3_spl
<=> inverse(sk_c9) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f118,plain,
( ~ sQ3_spl
| inverse(sk_c9) = sk_c7 ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f119,plain,
( sQ3_spl
| inverse(sk_c9) != sk_c7 ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f120,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f58,f106,f117]) ).
fof(f121,definition,
( sQ4_spl
<=> inverse(sk_c4) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f122,plain,
( ~ sQ4_spl
| inverse(sk_c4) = sk_c9 ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f124,plain,
( sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f59,f106,f121]) ).
fof(f125,definition,
( sQ5_spl
<=> multiply(sk_c4,sk_c7) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f126,plain,
( ~ sQ5_spl
| multiply(sk_c4,sk_c7) = sk_c9 ),
inference(component_clause,[status(thm)],[f125]) ).
fof(f128,plain,
( sQ5_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f60,f106,f125]) ).
fof(f129,definition,
( sQ6_spl
<=> multiply(sk_c5,sk_c6) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f130,plain,
( ~ sQ6_spl
| multiply(sk_c5,sk_c6) = sk_c7 ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f132,plain,
( sQ6_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f61,f106,f129]) ).
fof(f133,definition,
( sQ7_spl
<=> inverse(sk_c5) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f134,plain,
( ~ sQ7_spl
| inverse(sk_c5) = sk_c6 ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f136,plain,
( sQ7_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f62,f106,f133]) ).
fof(f137,definition,
( sQ8_spl
<=> multiply(sk_c6,sk_c9) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f138,plain,
( ~ sQ8_spl
| multiply(sk_c6,sk_c9) = sk_c7 ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f140,plain,
( sQ8_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f63,f106,f137]) ).
fof(f141,definition,
( sQ9_spl
<=> multiply(sk_c1,sk_c9) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f142,plain,
( ~ sQ9_spl
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f144,plain,
( sQ1_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f64,f141,f109]) ).
fof(f145,plain,
( sQ2_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f65,f141,f113]) ).
fof(f146,plain,
( sQ3_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f66,f141,f117]) ).
fof(f147,plain,
( sQ4_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f67,f141,f121]) ).
fof(f148,plain,
( sQ5_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f68,f141,f125]) ).
fof(f149,plain,
( sQ6_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f69,f141,f129]) ).
fof(f150,plain,
( sQ7_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f70,f141,f133]) ).
fof(f151,plain,
( sQ8_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f71,f141,f137]) ).
fof(f152,definition,
( sQ10_spl
<=> inverse(sk_c1) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f153,plain,
( ~ sQ10_spl
| inverse(sk_c1) = sk_c9 ),
inference(component_clause,[status(thm)],[f152]) ).
fof(f155,plain,
( sQ1_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f72,f152,f109]) ).
fof(f156,plain,
( sQ2_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f73,f152,f113]) ).
fof(f157,plain,
( sQ3_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f74,f152,f117]) ).
fof(f158,plain,
( sQ4_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f75,f152,f121]) ).
fof(f159,plain,
( sQ5_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f76,f152,f125]) ).
fof(f160,plain,
( sQ6_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f77,f152,f129]) ).
fof(f161,plain,
( sQ7_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f78,f152,f133]) ).
fof(f162,plain,
( sQ8_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f79,f152,f137]) ).
fof(f163,definition,
( sQ11_spl
<=> multiply(sk_c9,sk_c3) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f164,plain,
( ~ sQ11_spl
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f166,plain,
( sQ1_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f80,f163,f109]) ).
fof(f167,plain,
( sQ2_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f81,f163,f113]) ).
fof(f168,plain,
( sQ3_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f82,f163,f117]) ).
fof(f169,plain,
( sQ4_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f83,f163,f121]) ).
fof(f170,plain,
( sQ5_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f84,f163,f125]) ).
fof(f171,plain,
( sQ6_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f85,f163,f129]) ).
fof(f172,plain,
( sQ7_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f86,f163,f133]) ).
fof(f173,plain,
( sQ8_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f87,f163,f137]) ).
fof(f174,definition,
( sQ12_spl
<=> multiply(sk_c2,sk_c9) = sk_c3 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f175,plain,
( ~ sQ12_spl
| multiply(sk_c2,sk_c9) = sk_c3 ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f177,plain,
( sQ1_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f88,f174,f109]) ).
fof(f178,plain,
( sQ2_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f89,f174,f113]) ).
fof(f179,plain,
( sQ3_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f90,f174,f117]) ).
fof(f180,plain,
( sQ4_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f91,f174,f121]) ).
fof(f181,plain,
( sQ5_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f92,f174,f125]) ).
fof(f182,plain,
( sQ6_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f93,f174,f129]) ).
fof(f183,plain,
( sQ7_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f94,f174,f133]) ).
fof(f184,plain,
( sQ8_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f95,f174,f137]) ).
fof(f185,definition,
( sQ13_spl
<=> inverse(sk_c2) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f186,plain,
( ~ sQ13_spl
| inverse(sk_c2) = sk_c9 ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f188,plain,
( sQ1_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f96,f185,f109]) ).
fof(f189,plain,
( sQ2_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f97,f185,f113]) ).
fof(f190,plain,
( sQ3_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f98,f185,f117]) ).
fof(f191,plain,
( sQ4_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f99,f185,f121]) ).
fof(f192,plain,
( sQ5_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f100,f185,f125]) ).
fof(f193,plain,
( sQ6_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f101,f185,f129]) ).
fof(f194,plain,
( sQ7_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f102,f185,f133]) ).
fof(f195,plain,
( sQ8_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f103,f185,f137]) ).
fof(f196,definition,
! [X0] :
( sQ14_spl
<=> ( inverse(X0) != sk_c9
| multiply(X0,sk_c9) != sk_c8 ) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f197,plain,
! [X0] :
( ~ sQ14_spl
| inverse(X0) != sk_c9
| multiply(X0,sk_c9) != sk_c8 ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f199,definition,
! [X1,X2] :
( sQ15_spl
<=> ( inverse(X2) != sk_c9
| multiply(X2,sk_c9) != X1
| multiply(sk_c9,X1) != sk_c8 ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f200,plain,
! [X0,X1] :
( ~ sQ15_spl
| inverse(X1) != sk_c9
| multiply(X1,sk_c9) != X0
| multiply(sk_c9,X0) != sk_c8 ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f202,definition,
! [X3] :
( sQ16_spl
<=> ( multiply(X3,sk_c7) != sk_c9
| inverse(X3) != sk_c9 ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f203,plain,
! [X0] :
( ~ sQ16_spl
| multiply(X0,sk_c7) != sk_c9
| inverse(X0) != sk_c9 ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f205,definition,
! [X4,X5] :
( sQ17_spl
<=> ( multiply(X5,sk_c9) != sk_c7
| inverse(X4) != X5
| multiply(X4,X5) != sk_c7 ) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f206,plain,
! [X0,X1] :
( ~ sQ17_spl
| multiply(X1,sk_c9) != sk_c7
| inverse(X0) != X1
| multiply(X0,X1) != sk_c7 ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f208,plain,
( sQ17_spl
| sQ16_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ15_spl
| sQ14_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f105,f106,f196,f199,f109,f113,f117,f202,f205]) ).
fof(f209,plain,
! [X0] :
( ~ sQ17_spl
| multiply(inverse(X0),sk_c9) != sk_c7
| multiply(X0,inverse(X0)) != sk_c7 ),
inference(destructive_equality_resolution,[status(thm)],[f206]) ).
fof(f212,plain,
! [X0] :
( ~ sQ6_spl
| multiply(sk_c7,X0) = multiply(sk_c5,multiply(sk_c6,X0)) ),
inference(paramodulation,[status(thm)],[f130,f55]) ).
fof(f215,plain,
! [X0] :
( ~ sQ0_spl
| multiply(sk_c7,X0) = multiply(sk_c9,multiply(sk_c8,X0)) ),
inference(paramodulation,[status(thm)],[f107,f55]) ).
fof(f224,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| multiply(sk_c6,sk_c9) != sk_c7
| multiply(sk_c5,inverse(sk_c5)) != sk_c7 ),
inference(paramodulation,[status(thm)],[f134,f209]) ).
fof(f225,plain,
( ~ sQ10_spl
| ~ sQ17_spl
| multiply(sk_c9,sk_c9) != sk_c7
| multiply(sk_c1,inverse(sk_c1)) != sk_c7 ),
inference(paramodulation,[status(thm)],[f153,f209]) ).
fof(f230,definition,
( sQ19_spl
<=> multiply(sk_c9,sk_c9) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f232,plain,
( sQ19_spl
| multiply(sk_c9,sk_c9) != sk_c7 ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f234,definition,
( sQ20_spl
<=> multiply(sk_c5,inverse(sk_c5)) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f236,plain,
( sQ20_spl
| multiply(sk_c5,inverse(sk_c5)) != sk_c7 ),
inference(component_clause,[status(thm)],[f234]) ).
fof(f237,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| ~ sQ8_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f224,f234,f137,f205,f133]) ).
fof(f238,definition,
( sQ21_spl
<=> multiply(sk_c1,inverse(sk_c1)) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f240,plain,
( sQ21_spl
| multiply(sk_c1,inverse(sk_c1)) != sk_c7 ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f241,plain,
( ~ sQ10_spl
| ~ sQ17_spl
| ~ sQ19_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f225,f238,f230,f205,f152]) ).
fof(f248,plain,
( sQ21_spl
| ~ sQ10_spl
| multiply(sk_c1,sk_c9) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f153,f240]) ).
fof(f249,plain,
( sQ21_spl
| ~ sQ10_spl
| ~ sQ9_spl
| sk_c8 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f142,f248]) ).
fof(f252,plain,
( ~ sQ10_spl
| ~ sQ16_spl
| multiply(sk_c1,sk_c7) != sk_c9
| sk_c9 != sk_c9 ),
inference(paramodulation,[status(thm)],[f153,f203]) ).
fof(f254,definition,
( sQ23_spl
<=> sk_c9 = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f256,plain,
( sQ23_spl
| sk_c9 != sk_c9 ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f257,definition,
( sQ24_spl
<=> multiply(sk_c1,sk_c7) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f259,plain,
( sQ24_spl
| multiply(sk_c1,sk_c7) != sk_c9 ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f260,plain,
( ~ sQ10_spl
| ~ sQ16_spl
| ~ sQ24_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f252,f254,f257,f202,f152]) ).
fof(f265,plain,
( sQ23_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f256]) ).
fof(f266,plain,
sQ23_spl,
inference(contradiction_clause,[status(thm)],[f265]) ).
fof(f267,plain,
! [X0] :
( ~ sQ15_spl
| inverse(X0) != sk_c9
| multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8 ),
inference(destructive_equality_resolution,[status(thm)],[f200]) ).
fof(f271,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f54,f55]) ).
fof(f272,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f53,f271]) ).
fof(f281,plain,
! [X0] : X0 = multiply(inverse(identity),X0),
inference(paramodulation,[status(thm)],[f53,f272]) ).
fof(f285,plain,
( ~ sQ6_spl
| sk_c6 = multiply(inverse(sk_c5),sk_c7) ),
inference(paramodulation,[status(thm)],[f130,f272]) ).
fof(f286,plain,
( ~ sQ9_spl
| sk_c9 = multiply(inverse(sk_c1),sk_c8) ),
inference(paramodulation,[status(thm)],[f142,f272]) ).
fof(f291,plain,
( ~ sQ12_spl
| sk_c9 = multiply(inverse(sk_c2),sk_c3) ),
inference(paramodulation,[status(thm)],[f175,f272]) ).
fof(f293,plain,
( ~ sQ9_spl
| ~ sQ10_spl
| sk_c9 = multiply(sk_c9,sk_c8) ),
inference(forward_demodulation,[status(thm)],[f153,f286]) ).
fof(f294,plain,
( ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| sk_c9 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f107,f293]) ).
fof(f295,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| sk_c9 = multiply(sk_c9,sk_c3) ),
inference(forward_demodulation,[status(thm)],[f186,f291]) ).
fof(f296,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| sk_c9 = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f164,f295]) ).
fof(f298,plain,
( ~ sQ15_spl
| inverse(inverse(sk_c9)) != sk_c9
| multiply(sk_c9,identity) != sk_c8 ),
inference(paramodulation,[status(thm)],[f54,f267]) ).
fof(f299,plain,
( ~ sQ15_spl
| inverse(identity) != sk_c9
| multiply(sk_c9,sk_c9) != sk_c8 ),
inference(paramodulation,[status(thm)],[f53,f267]) ).
fof(f301,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| inverse(sk_c1) != sk_c9
| multiply(sk_c9,sk_c8) != sk_c8 ),
inference(paramodulation,[status(thm)],[f142,f267]) ).
fof(f302,plain,
( ~ sQ12_spl
| ~ sQ15_spl
| inverse(sk_c2) != sk_c9
| multiply(sk_c9,sk_c3) != sk_c8 ),
inference(paramodulation,[status(thm)],[f175,f267]) ).
fof(f303,definition,
( sQ26_spl
<=> multiply(sk_c9,identity) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f306,definition,
( sQ27_spl
<=> inverse(inverse(sk_c9)) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f308,plain,
( sQ27_spl
| inverse(inverse(sk_c9)) != sk_c9 ),
inference(component_clause,[status(thm)],[f306]) ).
fof(f309,plain,
( ~ sQ15_spl
| ~ sQ27_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f298,f303,f306,f199]) ).
fof(f310,definition,
( sQ28_spl
<=> multiply(sk_c9,sk_c9) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f312,plain,
( sQ28_spl
| multiply(sk_c9,sk_c9) != sk_c8 ),
inference(component_clause,[status(thm)],[f310]) ).
fof(f313,definition,
( sQ29_spl
<=> inverse(identity) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f315,plain,
( sQ29_spl
| inverse(identity) != sk_c9 ),
inference(component_clause,[status(thm)],[f313]) ).
fof(f316,plain,
( ~ sQ15_spl
| ~ sQ29_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f299,f310,f313,f199]) ).
fof(f317,definition,
( sQ30_spl
<=> multiply(sk_c9,sk_c8) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f320,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ10_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f301,f317,f152,f199,f141]) ).
fof(f321,plain,
( ~ sQ12_spl
| ~ sQ15_spl
| ~ sQ13_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f302,f163,f185,f199,f174]) ).
fof(f323,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| sk_c9 != sk_c9
| multiply(sk_c2,sk_c9) != sk_c8 ),
inference(paramodulation,[status(thm)],[f186,f197]) ).
fof(f325,definition,
( sQ31_spl
<=> multiply(sk_c2,sk_c9) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f327,plain,
( sQ31_spl
| multiply(sk_c2,sk_c9) != sk_c8 ),
inference(component_clause,[status(thm)],[f325]) ).
fof(f328,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ23_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f323,f325,f254,f196,f185]) ).
fof(f329,plain,
( sQ31_spl
| ~ sQ12_spl
| sk_c3 != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f175,f327]) ).
fof(f332,plain,
( ~ sQ1_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| multiply(sk_c8,sk_c7) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f294,f110]) ).
fof(f344,plain,
( ~ sQ3_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| inverse(sk_c7) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f294,f118]) ).
fof(f351,plain,
( sQ20_spl
| ~ sQ7_spl
| multiply(sk_c5,sk_c6) != sk_c7 ),
inference(backward_demodulation,[status(thm)],[f134,f236]) ).
fof(f354,plain,
( sQ20_spl
| ~ sQ7_spl
| ~ sQ6_spl
| sk_c7 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f130,f351]) ).
fof(f355,plain,
( sQ20_spl
| ~ sQ7_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f354]) ).
fof(f356,plain,
( sQ20_spl
| ~ sQ7_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f355]) ).
fof(f357,plain,
( ~ sQ13_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| inverse(sk_c2) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f294,f186]) ).
fof(f365,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| sk_c7 = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f294,f296]) ).
fof(f366,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f365,f249]) ).
fof(f367,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f366]) ).
fof(f370,plain,
( sQ31_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| sk_c3 != sk_c7 ),
inference(backward_demodulation,[status(thm)],[f365,f329]) ).
fof(f379,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| multiply(sk_c7,sk_c3) = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f294,f164]) ).
fof(f380,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| multiply(sk_c7,sk_c3) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f365,f379]) ).
fof(f381,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| sk_c3 = multiply(inverse(sk_c7),sk_c7) ),
inference(paramodulation,[status(thm)],[f380,f272]) ).
fof(f383,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| sk_c3 = identity ),
inference(forward_demodulation,[status(thm)],[f54,f381]) ).
fof(f385,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| multiply(inverse(X0),X0) = sk_c3 ),
inference(backward_demodulation,[status(thm)],[f383,f54]) ).
fof(f397,plain,
( sQ28_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| multiply(sk_c7,sk_c9) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f294,f312]) ).
fof(f398,plain,
( sQ28_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| multiply(sk_c7,sk_c7) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f294,f397]) ).
fof(f400,plain,
( sQ27_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| inverse(inverse(sk_c7)) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f294,f308]) ).
fof(f401,plain,
( sQ27_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ3_spl
| inverse(sk_c7) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f344,f400]) ).
fof(f402,plain,
( sQ27_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ3_spl
| sk_c7 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f344,f401]) ).
fof(f403,plain,
( sQ27_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ3_spl
| sk_c7 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f294,f402]) ).
fof(f404,plain,
( sQ27_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f403]) ).
fof(f405,plain,
( sQ27_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f404]) ).
fof(f413,plain,
( ~ sQ0_spl
| sk_c8 = multiply(inverse(sk_c9),sk_c7) ),
inference(paramodulation,[status(thm)],[f107,f272]) ).
fof(f415,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| sk_c8 = multiply(sk_c7,sk_c7) ),
inference(forward_demodulation,[status(thm)],[f118,f413]) ).
fof(f416,plain,
( ~ sQ16_spl
| sk_c7 != sk_c9
| inverse(identity) != sk_c9 ),
inference(paramodulation,[status(thm)],[f53,f203]) ).
fof(f418,definition,
( sQ32_spl
<=> sk_c7 = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f419,plain,
( ~ sQ32_spl
| sk_c7 = sk_c9 ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f420,plain,
( sQ32_spl
| sk_c7 != sk_c9 ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,plain,
( ~ sQ16_spl
| ~ sQ32_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f416,f313,f418,f202]) ).
fof(f431,plain,
( ~ sQ16_spl
| sk_c7 != sk_c9
| inverse(inverse(identity)) != sk_c9 ),
inference(paramodulation,[status(thm)],[f281,f203]) ).
fof(f434,definition,
( sQ33_spl
<=> inverse(inverse(identity)) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f437,plain,
( ~ sQ16_spl
| ~ sQ32_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f431,f434,f418,f202]) ).
fof(f442,plain,
( ~ sQ1_spl
| sk_c9 = multiply(inverse(sk_c8),sk_c7) ),
inference(paramodulation,[status(thm)],[f110,f272]) ).
fof(f444,plain,
( ~ sQ5_spl
| sk_c7 = multiply(inverse(sk_c4),sk_c9) ),
inference(paramodulation,[status(thm)],[f126,f272]) ).
fof(f446,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| sk_c7 = multiply(sk_c9,sk_c9) ),
inference(forward_demodulation,[status(thm)],[f122,f444]) ).
fof(f450,plain,
( ~ sQ3_spl
| multiply(sk_c7,sk_c9) = identity ),
inference(paramodulation,[status(thm)],[f118,f54]) ).
fof(f451,plain,
( ~ sQ4_spl
| multiply(sk_c9,sk_c4) = identity ),
inference(paramodulation,[status(thm)],[f122,f54]) ).
fof(f466,plain,
( ~ sQ4_spl
| sk_c4 = multiply(inverse(sk_c9),identity) ),
inference(paramodulation,[status(thm)],[f451,f272]) ).
fof(f468,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| sk_c4 = multiply(sk_c7,identity) ),
inference(forward_demodulation,[status(thm)],[f118,f466]) ).
fof(f471,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| sk_c9 = multiply(inverse(sk_c9),sk_c7) ),
inference(paramodulation,[status(thm)],[f446,f272]) ).
fof(f473,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sk_c9 = multiply(sk_c7,sk_c7) ),
inference(forward_demodulation,[status(thm)],[f118,f471]) ).
fof(f474,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| sk_c9 = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f415,f473]) ).
fof(f477,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| inverse(sk_c8) != sk_c9
| multiply(sk_c9,sk_c7) != sk_c8 ),
inference(paramodulation,[status(thm)],[f110,f267]) ).
fof(f478,plain,
( ~ sQ8_spl
| ~ sQ15_spl
| inverse(sk_c6) != sk_c9
| multiply(sk_c9,sk_c7) != sk_c8 ),
inference(paramodulation,[status(thm)],[f138,f267]) ).
fof(f479,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ15_spl
| inverse(sk_c9) != sk_c9
| multiply(sk_c9,sk_c7) != sk_c8 ),
inference(paramodulation,[status(thm)],[f446,f267]) ).
fof(f482,plain,
( ~ sQ15_spl
| inverse(inverse(identity)) != sk_c9
| multiply(sk_c9,sk_c9) != sk_c8 ),
inference(paramodulation,[status(thm)],[f281,f267]) ).
fof(f485,definition,
( sQ34_spl
<=> inverse(sk_c7) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f487,plain,
( sQ34_spl
| inverse(sk_c7) != sk_c9 ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f490,definition,
( sQ35_spl
<=> multiply(sk_c9,sk_c7) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f491,plain,
( ~ sQ35_spl
| multiply(sk_c9,sk_c7) = sk_c8 ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f492,plain,
( sQ35_spl
| multiply(sk_c9,sk_c7) != sk_c8 ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f493,definition,
( sQ36_spl
<=> inverse(sk_c8) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f495,plain,
( sQ36_spl
| inverse(sk_c8) != sk_c9 ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f496,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| ~ sQ36_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f477,f490,f493,f199,f109]) ).
fof(f497,definition,
( sQ37_spl
<=> inverse(sk_c6) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f500,plain,
( ~ sQ8_spl
| ~ sQ15_spl
| ~ sQ37_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f478,f490,f497,f199,f137]) ).
fof(f501,definition,
( sQ38_spl
<=> inverse(sk_c9) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f503,plain,
( sQ38_spl
| inverse(sk_c9) != sk_c9 ),
inference(component_clause,[status(thm)],[f501]) ).
fof(f504,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ15_spl
| ~ sQ38_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f479,f490,f501,f199,f121,f125]) ).
fof(f507,plain,
( ~ sQ15_spl
| ~ sQ33_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f482,f310,f434,f199]) ).
fof(f509,plain,
( ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| sk_c9 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f107,f293]) ).
fof(f510,plain,
( ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f509,f420]) ).
fof(f511,plain,
( ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f510]) ).
fof(f520,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| multiply(sk_c4,sk_c7) = sk_c8 ),
inference(backward_demodulation,[status(thm)],[f474,f126]) ).
fof(f522,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| multiply(sk_c8,sk_c7) = sk_c8 ),
inference(backward_demodulation,[status(thm)],[f474,f114]) ).
fof(f527,plain,
( sQ38_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| inverse(sk_c8) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f474,f503]) ).
fof(f528,plain,
( sQ38_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| inverse(sk_c8) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f474,f527]) ).
fof(f531,plain,
( sQ38_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| sk_c7 != sk_c8 ),
inference(backward_demodulation,[status(thm)],[f532,f528]) ).
fof(f532,plain,
( ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ0_spl
| inverse(sk_c8) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f474,f118]) ).
fof(f536,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ0_spl
| inverse(sk_c4) = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f474,f122]) ).
fof(f537,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ0_spl
| multiply(sk_c8,sk_c4) = identity ),
inference(paramodulation,[status(thm)],[f536,f54]) ).
fof(f540,plain,
( sQ35_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| multiply(sk_c8,sk_c7) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f474,f492]) ).
fof(f547,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| multiply(X0,sk_c7) != sk_c9
| inverse(X0) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f474,f203]) ).
fof(f548,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f474,f547]) ).
fof(f553,definition,
( sQ39_spl
<=> inverse(identity) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f554,plain,
( ~ sQ39_spl
| inverse(identity) = sk_c8 ),
inference(component_clause,[status(thm)],[f553]) ).
fof(f555,plain,
( sQ39_spl
| inverse(identity) != sk_c8 ),
inference(component_clause,[status(thm)],[f553]) ).
fof(f556,definition,
( sQ40_spl
<=> sk_c7 = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f558,plain,
( sQ40_spl
| sk_c7 != sk_c8 ),
inference(component_clause,[status(thm)],[f556]) ).
fof(f580,definition,
( sQ45_spl
<=> sk_c8 = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f582,plain,
( sQ45_spl
| sk_c8 != sk_c8 ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f584,plain,
( sQ45_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f582]) ).
fof(f585,plain,
sQ45_spl,
inference(contradiction_clause,[status(thm)],[f584]) ).
fof(f637,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f522,f540]) ).
fof(f638,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f637]) ).
fof(f652,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ16_spl
| inverse(sk_c4) != sk_c8 ),
inference(resolution,[status(thm)],[f548,f520]) ).
fof(f657,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ16_spl
| sk_c8 != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f536,f652]) ).
fof(f658,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f657]) ).
fof(f659,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f658]) ).
fof(f660,plain,
( sQ28_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ3_spl
| sk_c8 != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f415,f398]) ).
fof(f661,plain,
( sQ28_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f660]) ).
fof(f662,plain,
( sQ28_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f661]) ).
fof(f675,plain,
( ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ0_spl
| inverse(sk_c8) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f474,f118]) ).
fof(f677,plain,
( sQ36_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ0_spl
| sk_c7 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f675,f495]) ).
fof(f678,plain,
( sQ36_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ0_spl
| sk_c7 != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f474,f677]) ).
fof(f707,plain,
( ~ sQ32_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| sk_c7 = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f474,f419]) ).
fof(f708,plain,
( ~ sQ32_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f707,f558]) ).
fof(f709,plain,
( ~ sQ32_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f708]) ).
fof(f710,plain,
( sQ36_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ0_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f678,f556,f106,f121,f125,f117,f493]) ).
fof(f711,plain,
( sQ38_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f531,f556,f106,f117,f121,f125,f501]) ).
fof(f716,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| inverse(X0) != sk_c9
| multiply(X0,sk_c8) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f474,f197]) ).
fof(f717,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| inverse(X0) != sk_c8
| multiply(X0,sk_c8) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f474,f716]) ).
fof(f719,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ32_spl
| sk_c9 = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f707,f474]) ).
fof(f725,plain,
( ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ0_spl
| ~ sQ32_spl
| inverse(sk_c7) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f707,f532]) ).
fof(f727,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ32_spl
| inverse(sk_c4) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f707,f536]) ).
fof(f751,plain,
( ~ sQ35_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ32_spl
| multiply(sk_c7,sk_c7) = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f719,f491]) ).
fof(f752,plain,
( ~ sQ35_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ32_spl
| multiply(sk_c7,sk_c7) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f707,f751]) ).
fof(f763,plain,
( ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ0_spl
| ~ sQ32_spl
| multiply(sk_c7,sk_c7) = identity ),
inference(forward_demodulation,[status(thm)],[f719,f450]) ).
fof(f765,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ0_spl
| ~ sQ32_spl
| ~ sQ35_spl
| X0 = multiply(inverse(sk_c7),X0) ),
inference(backward_demodulation,[status(thm)],[f767,f281]) ).
fof(f767,plain,
( ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ0_spl
| ~ sQ32_spl
| ~ sQ35_spl
| sk_c7 = identity ),
inference(forward_demodulation,[status(thm)],[f752,f763]) ).
fof(f768,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ0_spl
| ~ sQ32_spl
| ~ sQ35_spl
| X0 = multiply(sk_c7,X0) ),
inference(forward_demodulation,[status(thm)],[f725,f765]) ).
fof(f774,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ32_spl
| multiply(sk_c4,sk_c7) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f707,f520]) ).
fof(f776,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ32_spl
| multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c7,X0)) ),
inference(paramodulation,[status(thm)],[f774,f55]) ).
fof(f778,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ32_spl
| ~ sQ35_spl
| X0 = multiply(sk_c4,multiply(sk_c7,X0)) ),
inference(forward_demodulation,[status(thm)],[f768,f776]) ).
fof(f779,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ32_spl
| ~ sQ35_spl
| X0 = multiply(sk_c4,X0) ),
inference(forward_demodulation,[status(thm)],[f768,f778]) ).
fof(f801,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ32_spl
| multiply(sk_c7,sk_c4) = identity ),
inference(forward_demodulation,[status(thm)],[f707,f537]) ).
fof(f802,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ32_spl
| ~ sQ35_spl
| sk_c4 = identity ),
inference(forward_demodulation,[status(thm)],[f768,f801]) ).
fof(f810,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ32_spl
| ~ sQ35_spl
| inverse(sk_c4) = sk_c4 ),
inference(backward_demodulation,[status(thm)],[f814,f727]) ).
fof(f813,plain,
( ~ sQ32_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ35_spl
| sk_c4 = sk_c8 ),
inference(backward_demodulation,[status(thm)],[f814,f707]) ).
fof(f814,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ32_spl
| ~ sQ35_spl
| sk_c4 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f767,f802]) ).
fof(f850,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ32_spl
| ~ sQ35_spl
| inverse(X0) != sk_c8
| multiply(X0,sk_c4) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f813,f717]) ).
fof(f851,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ32_spl
| ~ sQ35_spl
| inverse(X0) != sk_c8
| multiply(X0,sk_c4) != sk_c4 ),
inference(forward_demodulation,[status(thm)],[f813,f850]) ).
fof(f852,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ32_spl
| ~ sQ35_spl
| inverse(X0) != sk_c4
| multiply(X0,sk_c4) != sk_c4 ),
inference(forward_demodulation,[status(thm)],[f813,f851]) ).
fof(f853,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ32_spl
| ~ sQ35_spl
| ~ sQ14_spl
| multiply(sk_c4,sk_c4) != sk_c4 ),
inference(resolution,[status(thm)],[f852,f810]) ).
fof(f856,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ32_spl
| ~ sQ35_spl
| ~ sQ14_spl
| sk_c4 != sk_c4 ),
inference(forward_demodulation,[status(thm)],[f779,f853]) ).
fof(f857,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ32_spl
| ~ sQ35_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f856]) ).
fof(f858,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ32_spl
| ~ sQ35_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f857]) ).
fof(f860,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f54,f55]) ).
fof(f861,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[status(thm)],[f272,f860]) ).
fof(f866,plain,
( ~ sQ9_spl
| ~ sQ32_spl
| multiply(sk_c1,sk_c7) = sk_c8 ),
inference(backward_demodulation,[status(thm)],[f419,f142]) ).
fof(f881,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| multiply(inverse(X0),X0) = sk_c3 ),
inference(backward_demodulation,[status(thm)],[f383,f54]) ).
fof(f883,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ32_spl
| sk_c7 = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f419,f296]) ).
fof(f884,plain,
( sQ29_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| inverse(sk_c3) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f383,f315]) ).
fof(f885,plain,
( sQ29_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ32_spl
| inverse(sk_c3) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f419,f884]) ).
fof(f886,plain,
( ~ sQ0_spl
| ~ sQ32_spl
| multiply(sk_c7,sk_c8) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f419,f107]) ).
fof(f887,plain,
( ~ sQ0_spl
| ~ sQ32_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| multiply(sk_c7,sk_c7) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f883,f886]) ).
fof(f894,plain,
( sQ39_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| inverse(sk_c3) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f383,f555]) ).
fof(f895,plain,
( sQ39_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ32_spl
| inverse(sk_c3) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f883,f894]) ).
fof(f896,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| multiply(sk_c3,X0) = X0 ),
inference(forward_demodulation,[status(thm)],[f383,f53]) ).
fof(f900,plain,
( ~ sQ3_spl
| ~ sQ32_spl
| inverse(sk_c7) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f419,f118]) ).
fof(f904,plain,
( sQ34_spl
| ~ sQ32_spl
| inverse(sk_c7) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f419,f487]) ).
fof(f915,plain,
( ~ sQ3_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| sQ34_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f344,f904]) ).
fof(f916,plain,
( ~ sQ3_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| sQ34_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f915]) ).
fof(f933,plain,
( ~ sQ3_spl
| ~ sQ32_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| multiply(sk_c7,sk_c7) = sk_c3 ),
inference(paramodulation,[status(thm)],[f900,f385]) ).
fof(f939,plain,
( ~ sQ3_spl
| ~ sQ32_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| sk_c7 = sk_c3 ),
inference(forward_demodulation,[status(thm)],[f887,f933]) ).
fof(f940,plain,
( ~ sQ3_spl
| ~ sQ32_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f939,f370]) ).
fof(f941,plain,
( ~ sQ3_spl
| ~ sQ32_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f940]) ).
fof(f951,plain,
( ~ sQ13_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ32_spl
| ~ sQ11_spl
| ~ sQ12_spl
| inverse(sk_c2) = sk_c3 ),
inference(backward_demodulation,[status(thm)],[f939,f357]) ).
fof(f954,plain,
( sQ29_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ32_spl
| ~ sQ3_spl
| inverse(sk_c3) != sk_c3 ),
inference(backward_demodulation,[status(thm)],[f939,f885]) ).
fof(f980,plain,
( ~ sQ13_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ32_spl
| ~ sQ11_spl
| ~ sQ12_spl
| multiply(sk_c3,sk_c2) = sk_c3 ),
inference(paramodulation,[status(thm)],[f951,f385]) ).
fof(f982,plain,
( ~ sQ13_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ32_spl
| ~ sQ11_spl
| ~ sQ12_spl
| sk_c2 = sk_c3 ),
inference(forward_demodulation,[status(thm)],[f896,f980]) ).
fof(f984,plain,
( ~ sQ13_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ32_spl
| ~ sQ11_spl
| ~ sQ12_spl
| inverse(sk_c2) = sk_c2 ),
inference(backward_demodulation,[status(thm)],[f982,f951]) ).
fof(f1013,plain,
( sQ29_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ32_spl
| ~ sQ3_spl
| inverse(sk_c2) != sk_c3 ),
inference(forward_demodulation,[status(thm)],[f982,f954]) ).
fof(f1014,plain,
( sQ29_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ32_spl
| ~ sQ3_spl
| inverse(sk_c2) != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f982,f1013]) ).
fof(f1020,plain,
( ~ sQ13_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ32_spl
| ~ sQ11_spl
| ~ sQ12_spl
| sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f984,f1014]) ).
fof(f1021,plain,
( ~ sQ13_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ32_spl
| ~ sQ11_spl
| ~ sQ12_spl
| sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f1020]) ).
fof(f1027,plain,
( ~ sQ9_spl
| ~ sQ32_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| multiply(sk_c1,sk_c7) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f883,f866]) ).
fof(f1034,plain,
( sQ3_spl
| ~ sQ32_spl
| inverse(sk_c7) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f419,f119]) ).
fof(f1036,plain,
( sQ24_spl
| ~ sQ32_spl
| multiply(sk_c1,sk_c7) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f419,f259]) ).
fof(f1037,plain,
( ~ sQ1_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ32_spl
| multiply(sk_c7,sk_c7) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f883,f332]) ).
fof(f1038,plain,
( ~ sQ1_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ32_spl
| sk_c7 = multiply(inverse(sk_c7),sk_c7) ),
inference(paramodulation,[status(thm)],[f1037,f272]) ).
fof(f1040,plain,
( ~ sQ1_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ32_spl
| sk_c7 = sk_c3 ),
inference(forward_demodulation,[status(thm)],[f881,f1038]) ).
fof(f1052,plain,
( sQ39_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ32_spl
| ~ sQ1_spl
| inverse(sk_c3) != sk_c3 ),
inference(backward_demodulation,[status(thm)],[f1040,f895]) ).
fof(f1054,plain,
( sQ3_spl
| ~ sQ32_spl
| ~ sQ1_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| inverse(sk_c7) != sk_c3 ),
inference(backward_demodulation,[status(thm)],[f1040,f1034]) ).
fof(f1056,plain,
( ~ sQ13_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ32_spl
| inverse(sk_c2) = sk_c3 ),
inference(backward_demodulation,[status(thm)],[f1040,f357]) ).
fof(f1059,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ32_spl
| ~ sQ1_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| sk_c3 = sk_c8 ),
inference(backward_demodulation,[status(thm)],[f1040,f883]) ).
fof(f1064,plain,
( sQ3_spl
| ~ sQ32_spl
| ~ sQ1_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| inverse(sk_c3) != sk_c3 ),
inference(forward_demodulation,[status(thm)],[f1040,f1054]) ).
fof(f1070,plain,
( ~ sQ13_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ32_spl
| multiply(sk_c3,sk_c2) = sk_c3 ),
inference(paramodulation,[status(thm)],[f1056,f881]) ).
fof(f1072,plain,
( ~ sQ13_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ32_spl
| sk_c2 = sk_c3 ),
inference(forward_demodulation,[status(thm)],[f896,f1070]) ).
fof(f1074,plain,
( ~ sQ13_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ32_spl
| inverse(sk_c2) = sk_c2 ),
inference(backward_demodulation,[status(thm)],[f1072,f1056]) ).
fof(f1078,plain,
( sQ39_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ32_spl
| ~ sQ1_spl
| inverse(sk_c3) != sk_c2 ),
inference(backward_demodulation,[status(thm)],[f1072,f1052]) ).
fof(f1079,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ32_spl
| ~ sQ1_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| sk_c2 = sk_c8 ),
inference(backward_demodulation,[status(thm)],[f1072,f1059]) ).
fof(f1082,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ1_spl
| ~ sQ32_spl
| multiply(sk_c2,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f1072,f896]) ).
fof(f1086,plain,
( sQ39_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ32_spl
| ~ sQ1_spl
| inverse(sk_c2) != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f1072,f1078]) ).
fof(f1101,plain,
( sQ39_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ32_spl
| ~ sQ1_spl
| sk_c2 != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f1074,f1086]) ).
fof(f1102,plain,
( sQ39_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ32_spl
| ~ sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1101]) ).
fof(f1103,plain,
( sQ39_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ32_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f1102]) ).
fof(f1156,plain,
( sQ24_spl
| ~ sQ32_spl
| ~ sQ9_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| sk_c7 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f1027,f1036]) ).
fof(f1157,plain,
( sQ24_spl
| ~ sQ32_spl
| ~ sQ9_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1156]) ).
fof(f1158,plain,
( sQ24_spl
| ~ sQ32_spl
| ~ sQ9_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f1157]) ).
fof(f1160,plain,
( sQ1_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ32_spl
| multiply(sk_c7,sk_c9) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f883,f111]) ).
fof(f1161,plain,
( sQ1_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ32_spl
| multiply(sk_c7,sk_c7) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f419,f1160]) ).
fof(f1162,plain,
( sQ1_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ32_spl
| ~ sQ0_spl
| sk_c7 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f887,f1161]) ).
fof(f1163,plain,
( sQ1_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ32_spl
| ~ sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1162]) ).
fof(f1164,plain,
( sQ1_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ32_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1163]) ).
fof(f1172,plain,
( ~ sQ1_spl
| ~ sQ32_spl
| sk_c7 = multiply(inverse(sk_c8),sk_c7) ),
inference(forward_demodulation,[status(thm)],[f419,f442]) ).
fof(f1173,plain,
( ~ sQ1_spl
| ~ sQ32_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| sk_c7 = multiply(inverse(sk_c7),sk_c7) ),
inference(forward_demodulation,[status(thm)],[f883,f1172]) ).
fof(f1174,plain,
( ~ sQ1_spl
| ~ sQ32_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| sk_c7 = sk_c3 ),
inference(forward_demodulation,[status(thm)],[f385,f1173]) ).
fof(f1180,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ32_spl
| ~ sQ1_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| sk_c2 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f883,f1079]) ).
fof(f1187,plain,
( ~ sQ39_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| inverse(sk_c3) = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f383,f554]) ).
fof(f1188,plain,
( ~ sQ39_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ32_spl
| inverse(sk_c3) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f883,f1187]) ).
fof(f1206,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ32_spl
| ~ sQ1_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| sk_c3 = sk_c8 ),
inference(backward_demodulation,[status(thm)],[f1174,f883]) ).
fof(f1207,plain,
( ~ sQ32_spl
| ~ sQ1_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| sk_c3 = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f1174,f419]) ).
fof(f1229,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ32_spl
| ~ sQ1_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| sk_c2 = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f1072,f1206]) ).
fof(f1230,plain,
( ~ sQ32_spl
| ~ sQ1_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| sk_c2 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1072,f1207]) ).
fof(f1234,plain,
( sQ3_spl
| ~ sQ32_spl
| ~ sQ1_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| inverse(sk_c2) != sk_c3 ),
inference(forward_demodulation,[status(thm)],[f1072,f1064]) ).
fof(f1235,plain,
( sQ3_spl
| ~ sQ32_spl
| ~ sQ1_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| inverse(sk_c2) != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f1072,f1234]) ).
fof(f1237,plain,
( ~ sQ39_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ32_spl
| ~ sQ1_spl
| inverse(sk_c2) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f1072,f1188]) ).
fof(f1238,plain,
( ~ sQ39_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ32_spl
| ~ sQ1_spl
| inverse(sk_c2) = sk_c2 ),
inference(forward_demodulation,[status(thm)],[f1180,f1237]) ).
fof(f1239,plain,
( ~ sQ39_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ32_spl
| ~ sQ1_spl
| sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1238,f1235]) ).
fof(f1240,plain,
( ~ sQ39_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ32_spl
| ~ sQ1_spl
| sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f1239]) ).
fof(f1318,plain,
( sQ2_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ32_spl
| ~ sQ1_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| multiply(sk_c2,sk_c7) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1229,f115]) ).
fof(f1319,plain,
( sQ2_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ32_spl
| ~ sQ1_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| sk_c7 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1082,f1318]) ).
fof(f1320,plain,
( sQ2_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ32_spl
| ~ sQ1_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| sk_c2 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1180,f1319]) ).
fof(f1321,plain,
( sQ2_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ32_spl
| ~ sQ1_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| sk_c2 != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f1230,f1320]) ).
fof(f1322,plain,
( sQ2_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ32_spl
| ~ sQ1_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1321]) ).
fof(f1323,plain,
( sQ2_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ32_spl
| ~ sQ1_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1322]) ).
fof(f1357,plain,
( sQ19_spl
| ~ sQ32_spl
| ~ sQ1_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| multiply(sk_c2,sk_c9) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f1230,f232]) ).
fof(f1358,plain,
( sQ19_spl
| ~ sQ32_spl
| ~ sQ1_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| sk_c9 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f1082,f1357]) ).
fof(f1359,plain,
( sQ19_spl
| ~ sQ32_spl
| ~ sQ1_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| sk_c2 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f1230,f1358]) ).
fof(f1360,plain,
( sQ19_spl
| ~ sQ32_spl
| ~ sQ1_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| sk_c2 != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f1180,f1359]) ).
fof(f1361,plain,
( sQ19_spl
| ~ sQ32_spl
| ~ sQ1_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1360]) ).
fof(f1362,plain,
( sQ19_spl
| ~ sQ32_spl
| ~ sQ1_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1361]) ).
fof(f1363,plain,
( sQ32_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| sk_c7 != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f474,f420]) ).
fof(f1366,plain,
( ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| multiply(sk_c8,sk_c8) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f474,f110]) ).
fof(f1376,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| multiply(sk_c8,sk_c7) = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f474,f114]) ).
fof(f1488,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c8,X0)) ),
inference(forward_demodulation,[status(thm)],[f474,f215]) ).
fof(f1491,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| multiply(sk_c7,sk_c7) = multiply(sk_c8,sk_c8) ),
inference(paramodulation,[status(thm)],[f1376,f1488]) ).
fof(f1496,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| sk_c8 = multiply(sk_c8,sk_c8) ),
inference(forward_demodulation,[status(thm)],[f415,f1491]) ).
fof(f1497,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ1_spl
| sk_c8 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f1366,f1496]) ).
fof(f1498,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ1_spl
| sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1497,f1363]) ).
fof(f1499,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ1_spl
| sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f1498]) ).
fof(f1534,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| sk_c6 = multiply(sk_c6,sk_c7) ),
inference(forward_demodulation,[status(thm)],[f134,f285]) ).
fof(f1535,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| multiply(sk_c7,sk_c7) = multiply(sk_c5,sk_c6) ),
inference(paramodulation,[status(thm)],[f1534,f212]) ).
fof(f1536,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| sk_c7 = multiply(inverse(sk_c6),sk_c6) ),
inference(paramodulation,[status(thm)],[f1534,f272]) ).
fof(f1538,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sk_c9 = multiply(sk_c5,sk_c6) ),
inference(forward_demodulation,[status(thm)],[f473,f1535]) ).
fof(f1539,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sk_c9 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f130,f1538]) ).
fof(f1542,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| sk_c7 = identity ),
inference(forward_demodulation,[status(thm)],[f54,f1536]) ).
fof(f1550,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ6_spl
| ~ sQ7_spl
| sk_c4 = multiply(sk_c7,sk_c7) ),
inference(backward_demodulation,[status(thm)],[f1542,f468]) ).
fof(f1551,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ7_spl
| multiply(inverse(X0),X0) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f1542,f54]) ).
fof(f1554,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ7_spl
| multiply(sk_c7,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f1542,f861]) ).
fof(f1556,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ5_spl
| sk_c4 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f473,f1550]) ).
fof(f1559,plain,
( sQ0_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| multiply(sk_c7,sk_c8) != sk_c7 ),
inference(backward_demodulation,[status(thm)],[f1539,f108]) ).
fof(f1561,plain,
( ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| multiply(sk_c8,sk_c7) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f1539,f110]) ).
fof(f1564,plain,
( ~ sQ8_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| multiply(sk_c6,sk_c7) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f1539,f138]) ).
fof(f1571,plain,
( ~ sQ8_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sk_c6 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f1534,f1564]) ).
fof(f1581,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ5_spl
| sk_c4 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f1539,f1556]) ).
fof(f1582,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ8_spl
| sk_c6 = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f1583,f1581]) ).
fof(f1583,plain,
( ~ sQ8_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sk_c6 = sk_c4 ),
inference(forward_demodulation,[status(thm)],[f1581,f1571]) ).
fof(f1594,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ8_spl
| multiply(inverse(X0),X0) = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f1582,f1551]) ).
fof(f1598,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ8_spl
| multiply(sk_c6,X0) = X0 ),
inference(forward_demodulation,[status(thm)],[f1582,f1554]) ).
fof(f1601,plain,
( sQ0_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ8_spl
| multiply(sk_c6,sk_c8) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f1582,f1559]) ).
fof(f1602,plain,
( sQ0_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ8_spl
| sk_c8 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f1598,f1601]) ).
fof(f1603,plain,
( sQ0_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ8_spl
| sk_c8 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f1582,f1602]) ).
fof(f1617,plain,
( ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ8_spl
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f1582,f1561]) ).
fof(f1618,plain,
( ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ8_spl
| multiply(sk_c8,sk_c6) = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f1582,f1617]) ).
fof(f1620,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ8_spl
| multiply(sk_c6,X0) = multiply(sk_c8,multiply(sk_c6,X0)) ),
inference(paramodulation,[status(thm)],[f1618,f55]) ).
fof(f1621,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ8_spl
| X0 = multiply(sk_c8,multiply(sk_c6,X0)) ),
inference(forward_demodulation,[status(thm)],[f1598,f1620]) ).
fof(f1622,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ8_spl
| X0 = multiply(sk_c8,X0) ),
inference(forward_demodulation,[status(thm)],[f1598,f1621]) ).
fof(f1627,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ8_spl
| X0 = multiply(inverse(sk_c8),X0) ),
inference(paramodulation,[status(thm)],[f1622,f272]) ).
fof(f1689,plain,
( ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ8_spl
| sk_c8 = sk_c6 ),
inference(paramodulation,[status(thm)],[f1627,f1594]) ).
fof(f1731,plain,
( sQ0_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ8_spl
| ~ sQ1_spl
| sk_c6 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f1689,f1603]) ).
fof(f1732,plain,
( sQ0_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ8_spl
| ~ sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1731]) ).
fof(f1733,plain,
( sQ0_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ8_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f1732]) ).
fof(f1734,plain,
$false,
inference(sat_refutation,[status(thm)],[f112,f120,f124,f128,f132,f136,f140,f144,f145,f146,f147,f148,f149,f150,f151,f155,f156,f157,f158,f159,f160,f161,f162,f166,f167,f168,f169,f170,f171,f172,f173,f177,f178,f179,f180,f181,f182,f183,f184,f188,f189,f190,f191,f192,f193,f194,f195,f208,f237,f241,f260,f266,f309,f316,f320,f321,f328,f356,f367,f405,f421,f437,f496,f500,f504,f507,f511,f585,f638,f659,f662,f709,f710,f711,f858,f916,f941,f1021,f1103,f1158,f1164,f1240,f1323,f1362,f1499,f1733]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP282-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n001.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 20 20:14:12 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.44 % Refutation found
% 0.14/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.47 % Elapsed time: 0.110281 seconds
% 0.14/0.47 % CPU time: 0.529291 seconds
% 0.14/0.47 % Total memory used: 109.730 MB
% 0.14/0.47 % Net memory used: 109.358 MB
%------------------------------------------------------------------------------