%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP375-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 12:33:33 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.45s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 73
% Syntax : Number of formulae : 389 ( 12 unt; 35 def)
% Number of atoms : 1742 ( 459 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 2587 (1234 ~;1318 |; 0 &)
% ( 35 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 37 ( 35 usr; 36 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 84 ( 84 !; 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(f6,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( inverse(sk_c3) = sk_c9
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c10
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c10
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( inverse(sk_c6) = sk_c5
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( inverse(sk_c5) = sk_c7
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( inverse(sk_c3) = sk_c9
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( inverse(sk_c6) = sk_c5
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( inverse(sk_c5) = sk_c7
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( inverse(sk_c3) = sk_c9
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( inverse(sk_c6) = sk_c5
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
( inverse(sk_c5) = sk_c7
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| multiply(sk_c8,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c8,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| multiply(sk_c8,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
( inverse(sk_c3) = sk_c9
| multiply(sk_c8,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c10
| multiply(sk_c8,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c8,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
! [X2,X1,X3,X4,X5,X6,X7] :
( multiply(X6,X5) != X7
| inverse(X7) != X5
| inverse(X6) != X7
| multiply(X5,sk_c9) != sk_c10
| inverse(X4) != X5
| multiply(X4,X5) != sk_c10
| inverse(X3) != sk_c9
| multiply(X3,sk_c9) != sk_c8
| inverse(X1) != sk_c10
| multiply(X1,sk_c10) != sk_c9
| multiply(sk_c8,sk_c10) != sk_c9
| inverse(X2) != sk_c10
| multiply(X2,sk_c10) != sk_c9
| inverse(sk_c10) != sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,plain,
! [X0] : multiply(identity,X0) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f46,plain,
! [X0] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f47,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f50,plain,
( multiply(sk_c3,sk_c9) = sk_c8
| inverse(sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f51,plain,
( inverse(sk_c3) = sk_c9
| inverse(sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f52,plain,
( multiply(sk_c4,sk_c7) = sk_c10
| inverse(sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f53,plain,
( inverse(sk_c4) = sk_c7
| inverse(sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f54,plain,
( multiply(sk_c7,sk_c9) = sk_c10
| inverse(sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f55,plain,
( inverse(sk_c6) = sk_c5
| inverse(sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f56,plain,
( inverse(sk_c5) = sk_c7
| inverse(sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f57,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f58,plain,
( multiply(sk_c2,sk_c10) = sk_c9
| multiply(sk_c1,sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f59,plain,
( inverse(sk_c2) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f60,plain,
( multiply(sk_c3,sk_c9) = sk_c8
| multiply(sk_c1,sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f61,plain,
( inverse(sk_c3) = sk_c9
| multiply(sk_c1,sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f62,plain,
( multiply(sk_c4,sk_c7) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f63,plain,
( inverse(sk_c4) = sk_c7
| multiply(sk_c1,sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f64,plain,
( multiply(sk_c7,sk_c9) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f65,plain,
( inverse(sk_c6) = sk_c5
| multiply(sk_c1,sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f66,plain,
( inverse(sk_c5) = sk_c7
| multiply(sk_c1,sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f67,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c1,sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f68,plain,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f69,plain,
( inverse(sk_c2) = sk_c10
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f70,plain,
( multiply(sk_c3,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f71,plain,
( inverse(sk_c3) = sk_c9
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f72,plain,
( multiply(sk_c4,sk_c7) = sk_c10
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f73,plain,
( inverse(sk_c4) = sk_c7
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f74,plain,
( multiply(sk_c7,sk_c9) = sk_c10
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f75,plain,
( inverse(sk_c6) = sk_c5
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f76,plain,
( inverse(sk_c5) = sk_c7
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f77,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f78,plain,
( multiply(sk_c2,sk_c10) = sk_c9
| multiply(sk_c8,sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f79,plain,
( inverse(sk_c2) = sk_c10
| multiply(sk_c8,sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f80,plain,
( multiply(sk_c3,sk_c9) = sk_c8
| multiply(sk_c8,sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f81,plain,
( inverse(sk_c3) = sk_c9
| multiply(sk_c8,sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f82,plain,
( multiply(sk_c4,sk_c7) = sk_c10
| multiply(sk_c8,sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f83,plain,
( inverse(sk_c4) = sk_c7
| multiply(sk_c8,sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f88,plain,
! [X5,X6,X7] :
( multiply(X6,X5) != X7
| inverse(X7) != X5
| inverse(X6) != X7
| multiply(X5,sk_c9) != sk_c10
| ! [X4] :
( inverse(X4) != X5
| multiply(X4,X5) != sk_c10
| ! [X3] :
( inverse(X3) != sk_c9
| multiply(X3,sk_c9) != sk_c8
| ! [X1] :
( inverse(X1) != sk_c10
| multiply(X1,sk_c10) != sk_c9
| multiply(sk_c8,sk_c10) != sk_c9
| ! [X2] :
( inverse(X2) != sk_c10
| multiply(X2,sk_c10) != sk_c9
| inverse(sk_c10) != sk_c9 ) ) ) ) ),
inference(miniscoping,[status(thm)],[f44]) ).
fof(f89,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( multiply(X5,X4) != X6
| inverse(X6) != X4
| inverse(X5) != X6
| multiply(X4,sk_c9) != sk_c10
| inverse(X3) != X4
| multiply(X3,X4) != sk_c10
| inverse(X2) != sk_c9
| multiply(X2,sk_c9) != sk_c8
| inverse(X1) != sk_c10
| multiply(X1,sk_c10) != sk_c9
| multiply(sk_c8,sk_c10) != sk_c9
| inverse(X0) != sk_c10
| multiply(X0,sk_c10) != sk_c9
| inverse(sk_c10) != sk_c9 ),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f90,definition,
( sQ0_spl
<=> inverse(sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f91,plain,
( ~ sQ0_spl
| inverse(sk_c10) = sk_c9 ),
inference(component_clause,[status(thm)],[f90]) ).
fof(f92,plain,
( sQ0_spl
| inverse(sk_c10) != sk_c9 ),
inference(component_clause,[status(thm)],[f90]) ).
fof(f93,definition,
( sQ1_spl
<=> multiply(sk_c2,sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f94,plain,
( ~ sQ1_spl
| multiply(sk_c2,sk_c10) = sk_c9 ),
inference(component_clause,[status(thm)],[f93]) ).
fof(f97,definition,
( sQ2_spl
<=> inverse(sk_c2) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f98,plain,
( ~ sQ2_spl
| inverse(sk_c2) = sk_c10 ),
inference(component_clause,[status(thm)],[f97]) ).
fof(f101,definition,
( sQ3_spl
<=> multiply(sk_c3,sk_c9) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f102,plain,
( ~ sQ3_spl
| multiply(sk_c3,sk_c9) = sk_c8 ),
inference(component_clause,[status(thm)],[f101]) ).
fof(f104,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f50,f90,f101]) ).
fof(f105,definition,
( sQ4_spl
<=> inverse(sk_c3) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f106,plain,
( ~ sQ4_spl
| inverse(sk_c3) = sk_c9 ),
inference(component_clause,[status(thm)],[f105]) ).
fof(f108,plain,
( sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f51,f90,f105]) ).
fof(f109,definition,
( sQ5_spl
<=> multiply(sk_c4,sk_c7) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f110,plain,
( ~ sQ5_spl
| multiply(sk_c4,sk_c7) = sk_c10 ),
inference(component_clause,[status(thm)],[f109]) ).
fof(f112,plain,
( sQ5_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f52,f90,f109]) ).
fof(f113,definition,
( sQ6_spl
<=> inverse(sk_c4) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f114,plain,
( ~ sQ6_spl
| inverse(sk_c4) = sk_c7 ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f116,plain,
( sQ6_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f53,f90,f113]) ).
fof(f117,definition,
( sQ7_spl
<=> multiply(sk_c7,sk_c9) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f118,plain,
( ~ sQ7_spl
| multiply(sk_c7,sk_c9) = sk_c10 ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f120,plain,
( sQ7_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f54,f90,f117]) ).
fof(f121,definition,
( sQ8_spl
<=> inverse(sk_c6) = sk_c5 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f122,plain,
( ~ sQ8_spl
| inverse(sk_c6) = sk_c5 ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f124,plain,
( sQ8_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f55,f90,f121]) ).
fof(f125,definition,
( sQ9_spl
<=> inverse(sk_c5) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f126,plain,
( ~ sQ9_spl
| inverse(sk_c5) = sk_c7 ),
inference(component_clause,[status(thm)],[f125]) ).
fof(f128,plain,
( sQ9_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f56,f90,f125]) ).
fof(f129,definition,
( sQ10_spl
<=> multiply(sk_c6,sk_c7) = sk_c5 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f130,plain,
( ~ sQ10_spl
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f132,plain,
( sQ10_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f57,f90,f129]) ).
fof(f133,definition,
( sQ11_spl
<=> multiply(sk_c1,sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f134,plain,
( ~ sQ11_spl
| multiply(sk_c1,sk_c10) = sk_c9 ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f135,plain,
( sQ11_spl
| multiply(sk_c1,sk_c10) != sk_c9 ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f136,plain,
( sQ1_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f58,f133,f93]) ).
fof(f137,plain,
( sQ2_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f59,f133,f97]) ).
fof(f138,plain,
( sQ3_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f60,f133,f101]) ).
fof(f139,plain,
( sQ4_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f61,f133,f105]) ).
fof(f140,plain,
( sQ5_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f62,f133,f109]) ).
fof(f141,plain,
( sQ6_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f63,f133,f113]) ).
fof(f142,plain,
( sQ7_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f64,f133,f117]) ).
fof(f143,plain,
( sQ8_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f65,f133,f121]) ).
fof(f144,plain,
( sQ9_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f66,f133,f125]) ).
fof(f145,plain,
( sQ10_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f67,f133,f129]) ).
fof(f146,definition,
( sQ12_spl
<=> inverse(sk_c1) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f147,plain,
( ~ sQ12_spl
| inverse(sk_c1) = sk_c10 ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f149,plain,
( sQ1_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f68,f146,f93]) ).
fof(f150,plain,
( sQ2_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f69,f146,f97]) ).
fof(f151,plain,
( sQ3_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f70,f146,f101]) ).
fof(f152,plain,
( sQ4_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f71,f146,f105]) ).
fof(f153,plain,
( sQ5_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f72,f146,f109]) ).
fof(f154,plain,
( sQ6_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f73,f146,f113]) ).
fof(f155,plain,
( sQ7_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f74,f146,f117]) ).
fof(f156,plain,
( sQ8_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f75,f146,f121]) ).
fof(f157,plain,
( sQ9_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f76,f146,f125]) ).
fof(f158,plain,
( sQ10_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f77,f146,f129]) ).
fof(f159,definition,
( sQ13_spl
<=> multiply(sk_c8,sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f160,plain,
( ~ sQ13_spl
| multiply(sk_c8,sk_c10) = sk_c9 ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f161,plain,
( sQ13_spl
| multiply(sk_c8,sk_c10) != sk_c9 ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f162,plain,
( sQ1_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f78,f159,f93]) ).
fof(f163,plain,
( sQ2_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f79,f159,f97]) ).
fof(f164,plain,
( sQ3_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f80,f159,f101]) ).
fof(f165,plain,
( sQ4_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f81,f159,f105]) ).
fof(f166,plain,
( sQ5_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f82,f159,f109]) ).
fof(f167,plain,
( sQ6_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f83,f159,f113]) ).
fof(f172,definition,
! [X0] :
( sQ14_spl
<=> ( inverse(X0) != sk_c10
| multiply(X0,sk_c10) != sk_c9 ) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f173,plain,
! [X0] :
( ~ sQ14_spl
| inverse(X0) != sk_c10
| multiply(X0,sk_c10) != sk_c9 ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f175,definition,
! [X2] :
( sQ15_spl
<=> ( inverse(X2) != sk_c9
| multiply(X2,sk_c9) != sk_c8 ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f176,plain,
! [X0] :
( ~ sQ15_spl
| inverse(X0) != sk_c9
| multiply(X0,sk_c9) != sk_c8 ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f178,definition,
! [X3,X4,X5,X6] :
( sQ16_spl
<=> ( multiply(X5,X4) != X6
| inverse(X6) != X4
| inverse(X5) != X6
| multiply(X4,sk_c9) != sk_c10
| inverse(X3) != X4
| multiply(X3,X4) != sk_c10 ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f179,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| multiply(X2,X1) != X3
| inverse(X3) != X1
| inverse(X2) != X3
| multiply(X1,sk_c9) != sk_c10
| inverse(X0) != X1
| multiply(X0,X1) != sk_c10 ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f181,plain,
( sQ16_spl
| sQ15_spl
| ~ sQ13_spl
| sQ14_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f89,f90,f172,f159,f175,f178]) ).
fof(f182,plain,
! [X0,X1] :
( ~ sQ16_spl
| multiply(X1,inverse(X0)) != inverse(X1)
| inverse(inverse(X1)) != inverse(X0)
| multiply(inverse(X0),sk_c9) != sk_c10
| multiply(X0,inverse(X0)) != sk_c10 ),
inference(destructive_equality_resolution,[status(thm)],[f179]) ).
fof(f184,plain,
! [X0] :
( ~ sQ13_spl
| multiply(sk_c9,X0) = multiply(sk_c8,multiply(sk_c10,X0)) ),
inference(paramodulation,[status(thm)],[f160,f47]) ).
fof(f189,plain,
! [X0] :
( ~ sQ10_spl
| multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c7,X0)) ),
inference(paramodulation,[status(thm)],[f130,f47]) ).
fof(f190,plain,
! [X0] :
( ~ sQ11_spl
| multiply(sk_c9,X0) = multiply(sk_c1,multiply(sk_c10,X0)) ),
inference(paramodulation,[status(thm)],[f134,f47]) ).
fof(f203,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ16_spl
| multiply(X0,sk_c10) != inverse(X0)
| inverse(inverse(X0)) != inverse(sk_c1)
| multiply(inverse(sk_c1),sk_c9) != sk_c10
| multiply(sk_c1,inverse(sk_c1)) != sk_c10 ),
inference(paramodulation,[status(thm)],[f147,f182]) ).
fof(f264,definition,
( sQ35_spl
<=> multiply(sk_c1,inverse(sk_c1)) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f266,plain,
( sQ35_spl
| multiply(sk_c1,inverse(sk_c1)) != sk_c10 ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f267,definition,
( sQ36_spl
<=> multiply(inverse(sk_c1),sk_c9) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f269,plain,
( sQ36_spl
| multiply(inverse(sk_c1),sk_c9) != sk_c10 ),
inference(component_clause,[status(thm)],[f267]) ).
fof(f270,definition,
! [X0] :
( sQ37_spl
<=> ( multiply(X0,sk_c10) != inverse(X0)
| inverse(inverse(X0)) != inverse(sk_c1) ) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f271,plain,
! [X0] :
( ~ sQ37_spl
| multiply(X0,sk_c10) != inverse(X0)
| inverse(inverse(X0)) != inverse(sk_c1) ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f273,plain,
( ~ sQ12_spl
| ~ sQ16_spl
| sQ37_spl
| ~ sQ36_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f203,f264,f267,f270,f178,f146]) ).
fof(f274,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ12_spl
| multiply(X0,sk_c10) != inverse(X0)
| inverse(inverse(X0)) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f147,f271]) ).
fof(f275,plain,
( sQ36_spl
| ~ sQ12_spl
| multiply(sk_c10,sk_c9) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f147,f269]) ).
fof(f276,plain,
( sQ35_spl
| ~ sQ12_spl
| multiply(sk_c1,sk_c10) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f147,f266]) ).
fof(f277,plain,
( sQ35_spl
| ~ sQ12_spl
| ~ sQ11_spl
| sk_c9 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f134,f276]) ).
fof(f283,plain,
( ~ sQ3_spl
| ~ sQ15_spl
| inverse(sk_c3) != sk_c9
| sk_c8 != sk_c8 ),
inference(paramodulation,[status(thm)],[f102,f176]) ).
fof(f285,definition,
( sQ38_spl
<=> sk_c8 = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f287,plain,
( sQ38_spl
| sk_c8 != sk_c8 ),
inference(component_clause,[status(thm)],[f285]) ).
fof(f288,plain,
( ~ sQ3_spl
| ~ sQ15_spl
| ~ sQ4_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f283,f285,f105,f175,f101]) ).
fof(f296,plain,
( sQ38_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f287]) ).
fof(f297,plain,
sQ38_spl,
inference(contradiction_clause,[status(thm)],[f296]) ).
fof(f299,plain,
( ~ sQ0_spl
| multiply(sk_c9,sk_c10) = identity ),
inference(paramodulation,[status(thm)],[f91,f46]) ).
fof(f300,plain,
( ~ sQ12_spl
| multiply(sk_c10,sk_c1) = identity ),
inference(paramodulation,[status(thm)],[f147,f46]) ).
fof(f301,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f46,f47]) ).
fof(f302,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f45,f301]) ).
fof(f308,plain,
! [X0] :
( ~ sQ12_spl
| multiply(identity,X0) = multiply(sk_c10,multiply(sk_c1,X0)) ),
inference(paramodulation,[status(thm)],[f300,f47]) ).
fof(f309,plain,
! [X0] :
( ~ sQ12_spl
| X0 = multiply(sk_c10,multiply(sk_c1,X0)) ),
inference(forward_demodulation,[status(thm)],[f45,f308]) ).
fof(f311,plain,
( ~ sQ1_spl
| ~ sQ14_spl
| inverse(sk_c2) != sk_c10 ),
inference(resolution,[status(thm)],[f173,f94]) ).
fof(f312,plain,
( ~ sQ11_spl
| ~ sQ14_spl
| inverse(sk_c1) != sk_c10 ),
inference(resolution,[status(thm)],[f173,f134]) ).
fof(f317,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| inverse(sk_c8) != sk_c10
| sk_c9 != sk_c9 ),
inference(paramodulation,[status(thm)],[f160,f173]) ).
fof(f320,plain,
( ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ12_spl
| sk_c10 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f147,f312]) ).
fof(f321,plain,
( ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f320]) ).
fof(f322,plain,
( ~ sQ11_spl
| ~ sQ14_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f321]) ).
fof(f329,definition,
( sQ41_spl
<=> multiply(identity,inverse(identity)) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f330,plain,
( ~ sQ41_spl
| multiply(identity,inverse(identity)) = sk_c10 ),
inference(component_clause,[status(thm)],[f329]) ).
fof(f331,plain,
( sQ41_spl
| multiply(identity,inverse(identity)) != sk_c10 ),
inference(component_clause,[status(thm)],[f329]) ).
fof(f341,plain,
( sQ41_spl
| inverse(identity) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f45,f331]) ).
fof(f349,plain,
( ~ sQ8_spl
| multiply(sk_c5,sk_c6) = identity ),
inference(paramodulation,[status(thm)],[f122,f46]) ).
fof(f409,plain,
( ~ sQ8_spl
| sk_c6 = multiply(inverse(sk_c5),identity) ),
inference(paramodulation,[status(thm)],[f349,f302]) ).
fof(f413,plain,
( ~ sQ3_spl
| sk_c9 = multiply(inverse(sk_c3),sk_c8) ),
inference(paramodulation,[status(thm)],[f102,f302]) ).
fof(f419,plain,
! [X0] : X0 = multiply(inverse(identity),X0),
inference(paramodulation,[status(thm)],[f45,f302]) ).
fof(f426,plain,
( ~ sQ5_spl
| sk_c7 = multiply(inverse(sk_c4),sk_c10) ),
inference(paramodulation,[status(thm)],[f110,f302]) ).
fof(f430,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| sk_c6 = multiply(sk_c7,identity) ),
inference(forward_demodulation,[status(thm)],[f126,f409]) ).
fof(f431,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| sk_c9 = multiply(sk_c9,sk_c8) ),
inference(forward_demodulation,[status(thm)],[f106,f413]) ).
fof(f435,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| sk_c7 = multiply(sk_c7,sk_c10) ),
inference(forward_demodulation,[status(thm)],[f114,f426]) ).
fof(f444,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| sk_c8 = multiply(inverse(sk_c9),sk_c9) ),
inference(paramodulation,[status(thm)],[f431,f302]) ).
fof(f446,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| sk_c8 = identity ),
inference(forward_demodulation,[status(thm)],[f46,f444]) ).
fof(f447,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(backward_demodulation,[status(thm)],[f446,f430]) ).
fof(f450,plain,
( ~ sQ8_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c5,sk_c6) = sk_c8 ),
inference(backward_demodulation,[status(thm)],[f446,f349]) ).
fof(f454,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ4_spl
| multiply(inverse(X0),X0) = sk_c8 ),
inference(backward_demodulation,[status(thm)],[f446,f46]) ).
fof(f455,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c8,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f446,f45]) ).
fof(f457,plain,
( ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c10 = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f455,f160]) ).
fof(f460,plain,
( sQ0_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| inverse(sk_c9) != sk_c9 ),
inference(backward_demodulation,[status(thm)],[f457,f92]) ).
fof(f464,plain,
( sQ11_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c1,sk_c9) != sk_c9 ),
inference(backward_demodulation,[status(thm)],[f457,f135]) ).
fof(f465,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c7,sk_c9) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f457,f118]) ).
fof(f468,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| inverse(sk_c1) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f457,f147]) ).
fof(f471,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ4_spl
| X0 = multiply(inverse(sk_c8),X0) ),
inference(forward_demodulation,[status(thm)],[f446,f419]) ).
fof(f480,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c7 = multiply(sk_c7,sk_c9) ),
inference(forward_demodulation,[status(thm)],[f457,f435]) ).
fof(f481,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ10_spl
| multiply(sk_c5,sk_c9) = multiply(sk_c6,sk_c7) ),
inference(paramodulation,[status(thm)],[f480,f189]) ).
fof(f484,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ10_spl
| multiply(sk_c5,sk_c9) = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f130,f481]) ).
fof(f486,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c9,sk_c1) = sk_c8 ),
inference(paramodulation,[status(thm)],[f468,f454]) ).
fof(f496,plain,
( sQ11_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| multiply(sk_c1,sk_c9) != sk_c7 ),
inference(backward_demodulation,[status(thm)],[f506,f464]) ).
fof(f499,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| inverse(sk_c1) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f506,f468]) ).
fof(f501,plain,
( sQ0_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| inverse(sk_c9) != sk_c7 ),
inference(backward_demodulation,[status(thm)],[f506,f460]) ).
fof(f502,plain,
( ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c10 = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f506,f457]) ).
fof(f504,plain,
( ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ6_spl
| inverse(sk_c3) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f506,f106]) ).
fof(f505,plain,
( ~ sQ3_spl
| ~ sQ7_spl
| ~ sQ13_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| multiply(sk_c3,sk_c7) = sk_c8 ),
inference(backward_demodulation,[status(thm)],[f506,f102]) ).
fof(f506,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c7 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f480,f465]) ).
fof(f507,plain,
( sQ11_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| multiply(sk_c1,sk_c7) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f506,f496]) ).
fof(f510,plain,
( sQ0_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| inverse(sk_c7) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f506,f501]) ).
fof(f562,plain,
( ~ sQ3_spl
| ~ sQ7_spl
| ~ sQ13_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c7 = multiply(inverse(sk_c3),sk_c8) ),
inference(paramodulation,[status(thm)],[f505,f302]) ).
fof(f564,plain,
( ~ sQ3_spl
| ~ sQ7_spl
| ~ sQ13_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c7 = multiply(sk_c7,sk_c8) ),
inference(forward_demodulation,[status(thm)],[f504,f562]) ).
fof(f565,plain,
( ~ sQ3_spl
| ~ sQ7_spl
| ~ sQ13_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| sk_c7 = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f447,f564]) ).
fof(f568,plain,
( sQ11_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| multiply(sk_c1,sk_c7) != sk_c6 ),
inference(backward_demodulation,[status(thm)],[f565,f507]) ).
fof(f579,plain,
( sQ0_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| inverse(sk_c7) != sk_c6 ),
inference(backward_demodulation,[status(thm)],[f565,f510]) ).
fof(f581,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| inverse(sk_c1) = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f565,f499]) ).
fof(f582,plain,
( ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| sk_c10 = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f565,f502]) ).
fof(f583,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| sk_c6 = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f565,f506]) ).
fof(f585,plain,
( ~ sQ9_spl
| ~ sQ3_spl
| ~ sQ7_spl
| ~ sQ13_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| inverse(sk_c5) = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f565,f126]) ).
fof(f588,plain,
( sQ11_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| multiply(sk_c1,sk_c6) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f565,f568]) ).
fof(f591,plain,
( sQ0_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| inverse(sk_c6) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f565,f579]) ).
fof(f592,plain,
( sQ0_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| sk_c5 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f122,f591]) ).
fof(f603,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| multiply(sk_c5,sk_c6) = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f583,f484]) ).
fof(f604,plain,
( ~ sQ8_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ13_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ9_spl
| multiply(sk_c5,sk_c6) = sk_c5 ),
inference(backward_demodulation,[status(thm)],[f609,f450]) ).
fof(f606,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ13_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| X0 = multiply(inverse(sk_c5),X0) ),
inference(backward_demodulation,[status(thm)],[f609,f471]) ).
fof(f607,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ13_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| multiply(sk_c5,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f609,f455]) ).
fof(f608,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ13_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| sk_c5 = identity ),
inference(backward_demodulation,[status(thm)],[f609,f446]) ).
fof(f609,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| sk_c8 = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f450,f603]) ).
fof(f610,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ13_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| X0 = multiply(sk_c6,X0) ),
inference(forward_demodulation,[status(thm)],[f585,f606]) ).
fof(f617,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| multiply(sk_c6,sk_c1) = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f583,f486]) ).
fof(f618,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| sk_c1 = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f610,f617]) ).
fof(f620,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ13_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ12_spl
| sk_c1 = identity ),
inference(backward_demodulation,[status(thm)],[f625,f608]) ).
fof(f625,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| sk_c1 = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f609,f618]) ).
fof(f656,plain,
( sQ41_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ13_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ12_spl
| inverse(sk_c1) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f620,f341]) ).
fof(f657,plain,
( sQ41_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ13_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ12_spl
| sk_c6 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f581,f656]) ).
fof(f658,plain,
( sQ41_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ13_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ12_spl
| sk_c6 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f582,f657]) ).
fof(f659,plain,
( sQ41_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ13_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f658]) ).
fof(f660,plain,
( sQ41_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ13_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f659]) ).
fof(f661,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| inverse(sk_c6) = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f582,f91]) ).
fof(f662,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| inverse(sk_c6) = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f583,f661]) ).
fof(f663,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| multiply(sk_c6,sk_c10) = identity ),
inference(forward_demodulation,[status(thm)],[f583,f299]) ).
fof(f664,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| sk_c10 = identity ),
inference(forward_demodulation,[status(thm)],[f610,f663]) ).
fof(f665,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| sk_c6 = identity ),
inference(forward_demodulation,[status(thm)],[f582,f664]) ).
fof(f674,plain,
( ~ sQ41_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ13_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ12_spl
| multiply(sk_c1,inverse(identity)) = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f620,f330]) ).
fof(f675,plain,
( ~ sQ41_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ13_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ12_spl
| multiply(sk_c1,inverse(sk_c1)) = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f620,f674]) ).
fof(f676,plain,
( ~ sQ41_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ13_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ12_spl
| multiply(sk_c1,sk_c6) = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f581,f675]) ).
fof(f677,plain,
( ~ sQ41_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ13_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ12_spl
| multiply(sk_c1,sk_c6) = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f582,f676]) ).
fof(f678,plain,
( ~ sQ41_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ13_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ12_spl
| sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f677,f588]) ).
fof(f679,plain,
( ~ sQ41_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ13_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ12_spl
| sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f678]) ).
fof(f703,plain,
( ~ sQ16_spl
| inverse(inverse(inverse(identity))) != inverse(inverse(identity))
| multiply(inverse(inverse(identity)),sk_c9) != sk_c10
| multiply(inverse(identity),inverse(inverse(identity))) != sk_c10 ),
inference(resolution,[status(thm)],[f419,f182]) ).
fof(f709,definition,
( sQ44_spl
<=> multiply(inverse(identity),inverse(inverse(identity))) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f711,plain,
( sQ44_spl
| multiply(inverse(identity),inverse(inverse(identity))) != sk_c10 ),
inference(component_clause,[status(thm)],[f709]) ).
fof(f712,definition,
( sQ45_spl
<=> multiply(inverse(inverse(identity)),sk_c9) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f715,definition,
( sQ46_spl
<=> inverse(inverse(inverse(identity))) = inverse(inverse(identity)) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f718,plain,
( ~ sQ16_spl
| ~ sQ46_spl
| ~ sQ45_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f703,f709,f712,f715,f178]) ).
fof(f719,plain,
( sQ44_spl
| inverse(inverse(identity)) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f419,f711]) ).
fof(f739,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| sk_c10 = multiply(sk_c10,sk_c9) ),
inference(paramodulation,[status(thm)],[f134,f309]) ).
fof(f751,plain,
( ~ sQ11_spl
| ~ sQ37_spl
| ~ sQ12_spl
| sk_c9 != inverse(sk_c1)
| inverse(inverse(sk_c1)) != sk_c10 ),
inference(paramodulation,[status(thm)],[f134,f274]) ).
fof(f776,definition,
( sQ53_spl
<=> inverse(inverse(identity)) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f778,plain,
( sQ53_spl
| inverse(inverse(identity)) != sk_c10 ),
inference(component_clause,[status(thm)],[f776]) ).
fof(f783,definition,
( sQ55_spl
<=> inverse(inverse(sk_c1)) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f785,plain,
( sQ55_spl
| inverse(inverse(sk_c1)) != sk_c10 ),
inference(component_clause,[status(thm)],[f783]) ).
fof(f786,definition,
( sQ56_spl
<=> sk_c9 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f788,plain,
( sQ56_spl
| sk_c9 != inverse(sk_c1) ),
inference(component_clause,[status(thm)],[f786]) ).
fof(f789,plain,
( ~ sQ11_spl
| ~ sQ37_spl
| ~ sQ12_spl
| ~ sQ56_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f751,f783,f786,f146,f270,f133]) ).
fof(f821,definition,
( sQ64_spl
<=> sk_c9 = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f823,plain,
( sQ64_spl
| sk_c9 != sk_c9 ),
inference(component_clause,[status(thm)],[f821]) ).
fof(f824,definition,
( sQ65_spl
<=> inverse(sk_c8) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f827,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ65_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f317,f821,f824,f172,f159]) ).
fof(f829,plain,
( ~ sQ1_spl
| ~ sQ14_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f311,f97,f172,f93]) ).
fof(f831,plain,
( sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f823]) ).
fof(f832,plain,
sQ64_spl,
inference(contradiction_clause,[status(thm)],[f831]) ).
fof(f846,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ13_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ0_spl
| sk_c5 = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f665,f608]) ).
fof(f858,plain,
( ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| sk_c10 = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f846,f582]) ).
fof(f861,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| sk_c5 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f846,f583]) ).
fof(f898,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| inverse(sk_c5) = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f846,f662]) ).
fof(f899,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| inverse(sk_c5) = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f846,f898]) ).
fof(f1064,plain,
( ~ sQ8_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ13_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ9_spl
| sk_c6 = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f607,f604]) ).
fof(f1116,plain,
! [X0,X1] :
( ~ sQ16_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| multiply(X1,inverse(X0)) != inverse(X1)
| inverse(inverse(X1)) != inverse(X0)
| multiply(inverse(X0),sk_c9) != sk_c10
| multiply(X0,inverse(X0)) != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f858,f182]) ).
fof(f1117,plain,
! [X0,X1] :
( ~ sQ16_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| multiply(X1,inverse(X0)) != inverse(X1)
| inverse(inverse(X1)) != inverse(X0)
| multiply(inverse(X0),sk_c5) != sk_c10
| multiply(X0,inverse(X0)) != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f861,f1116]) ).
fof(f1118,plain,
! [X0,X1] :
( ~ sQ16_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ0_spl
| multiply(X1,inverse(X0)) != inverse(X1)
| inverse(inverse(X1)) != inverse(X0)
| multiply(inverse(X0),sk_c5) != sk_c5
| multiply(X0,inverse(X0)) != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f858,f1117]) ).
fof(f1119,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ13_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ16_spl
| ~ sQ0_spl
| inverse(inverse(sk_c5)) != inverse(sk_c5)
| multiply(inverse(sk_c5),sk_c5) != sk_c5
| multiply(sk_c5,inverse(sk_c5)) != sk_c5 ),
inference(resolution,[status(thm)],[f1118,f607]) ).
fof(f1123,definition,
( sQ66_spl
<=> multiply(sk_c5,inverse(sk_c5)) = sk_c5 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f1125,plain,
( sQ66_spl
| multiply(sk_c5,inverse(sk_c5)) != sk_c5 ),
inference(component_clause,[status(thm)],[f1123]) ).
fof(f1126,definition,
( sQ67_spl
<=> multiply(inverse(sk_c5),sk_c5) = sk_c5 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f1128,plain,
( sQ67_spl
| multiply(inverse(sk_c5),sk_c5) != sk_c5 ),
inference(component_clause,[status(thm)],[f1126]) ).
fof(f1129,definition,
( sQ68_spl
<=> inverse(inverse(sk_c5)) = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f1131,plain,
( sQ68_spl
| inverse(inverse(sk_c5)) != inverse(sk_c5) ),
inference(component_clause,[status(thm)],[f1129]) ).
fof(f1132,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ13_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ16_spl
| ~ sQ0_spl
| ~ sQ68_spl
| ~ sQ67_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f1119,f1123,f1126,f1129,f90,f178,f125,f121,f117,f129,f159,f113,f109,f105,f101]) ).
fof(f1141,plain,
( sQ67_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| multiply(sk_c5,sk_c5) != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f899,f1128]) ).
fof(f1142,plain,
( sQ67_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| sk_c5 != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f607,f1141]) ).
fof(f1143,plain,
( sQ67_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1142]) ).
fof(f1144,plain,
( sQ67_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f1143]) ).
fof(f1145,plain,
( sQ66_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ13_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| inverse(sk_c5) != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f607,f1125]) ).
fof(f1146,plain,
( sQ66_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ13_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ0_spl
| sk_c5 != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f899,f1145]) ).
fof(f1147,plain,
( sQ66_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ13_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1146]) ).
fof(f1148,plain,
( sQ66_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ13_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1147]) ).
fof(f1150,plain,
( sQ68_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| inverse(sk_c5) != inverse(sk_c5) ),
inference(forward_demodulation,[status(thm)],[f899,f1131]) ).
fof(f1151,plain,
( sQ68_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| sk_c5 != inverse(sk_c5) ),
inference(forward_demodulation,[status(thm)],[f899,f1150]) ).
fof(f1152,plain,
( sQ68_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| sk_c5 != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f899,f1151]) ).
fof(f1153,plain,
( sQ68_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1152]) ).
fof(f1154,plain,
( sQ68_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f1153]) ).
fof(f1161,plain,
( sQ56_spl
| ~ sQ12_spl
| sk_c9 != sk_c10 ),
inference(backward_demodulation,[status(thm)],[f147,f788]) ).
fof(f1165,plain,
( sQ55_spl
| ~ sQ12_spl
| inverse(sk_c10) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f147,f785]) ).
fof(f1166,plain,
( sQ55_spl
| ~ sQ12_spl
| ~ sQ0_spl
| sk_c9 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f91,f1165]) ).
fof(f1199,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| sk_c9 = multiply(inverse(sk_c10),sk_c10) ),
inference(paramodulation,[status(thm)],[f739,f302]) ).
fof(f1201,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| sk_c9 = identity ),
inference(forward_demodulation,[status(thm)],[f46,f1199]) ).
fof(f1206,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ12_spl
| multiply(inverse(X0),X0) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f1201,f46]) ).
fof(f1207,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ12_spl
| multiply(sk_c9,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f1201,f45]) ).
fof(f1208,plain,
( sQ53_spl
| ~ sQ11_spl
| ~ sQ12_spl
| inverse(inverse(sk_c9)) != sk_c10 ),
inference(backward_demodulation,[status(thm)],[f1201,f778]) ).
fof(f1226,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| multiply(sk_c9,sk_c10) = sk_c9 ),
inference(paramodulation,[status(thm)],[f91,f1206]) ).
fof(f1230,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| sk_c10 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1207,f1226]) ).
fof(f1231,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1230,f277]) ).
fof(f1232,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f1231]) ).
fof(f1237,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ12_spl
| X0 = multiply(sk_c1,multiply(sk_c10,X0)) ),
inference(forward_demodulation,[status(thm)],[f1207,f190]) ).
fof(f1242,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ12_spl
| X0 = multiply(sk_c8,multiply(sk_c10,X0)) ),
inference(forward_demodulation,[status(thm)],[f1207,f184]) ).
fof(f1247,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ0_spl
| X0 = multiply(sk_c8,multiply(sk_c9,X0)) ),
inference(backward_demodulation,[status(thm)],[f1230,f1242]) ).
fof(f1248,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ0_spl
| X0 = multiply(sk_c1,multiply(sk_c9,X0)) ),
inference(backward_demodulation,[status(thm)],[f1230,f1237]) ).
fof(f1258,plain,
( ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| inverse(sk_c1) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f1230,f147]) ).
fof(f1260,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| inverse(sk_c9) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f1230,f91]) ).
fof(f1262,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ0_spl
| X0 = multiply(sk_c8,X0) ),
inference(forward_demodulation,[status(thm)],[f1207,f1247]) ).
fof(f1263,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ0_spl
| X0 = multiply(sk_c1,X0) ),
inference(forward_demodulation,[status(thm)],[f1207,f1248]) ).
fof(f1271,plain,
( sQ55_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| sk_c9 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1230,f1166]) ).
fof(f1272,plain,
( sQ55_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1271]) ).
fof(f1273,plain,
( sQ55_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f1272]) ).
fof(f1275,plain,
( sQ36_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| multiply(sk_c9,sk_c9) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f1230,f275]) ).
fof(f1276,plain,
( sQ36_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| sk_c9 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f1207,f1275]) ).
fof(f1277,plain,
( sQ36_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| sk_c9 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1230,f1276]) ).
fof(f1278,plain,
( sQ36_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1277]) ).
fof(f1279,plain,
( sQ36_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f1278]) ).
fof(f1287,plain,
( sQ56_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| sk_c9 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1230,f1161]) ).
fof(f1288,plain,
( sQ56_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1287]) ).
fof(f1289,plain,
( sQ56_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f1288]) ).
fof(f1290,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ0_spl
| X0 = multiply(inverse(sk_c8),X0) ),
inference(paramodulation,[status(thm)],[f1262,f302]) ).
fof(f1294,plain,
( ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| multiply(sk_c9,sk_c1) = sk_c9 ),
inference(paramodulation,[status(thm)],[f1258,f1206]) ).
fof(f1296,plain,
( ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| sk_c1 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1207,f1294]) ).
fof(f1301,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| sk_c10 = sk_c1 ),
inference(backward_demodulation,[status(thm)],[f1296,f1230]) ).
fof(f1302,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ0_spl
| multiply(inverse(X0),X0) = sk_c1 ),
inference(backward_demodulation,[status(thm)],[f1296,f1206]) ).
fof(f1308,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| inverse(sk_c1) = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1296,f1260]) ).
fof(f1309,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| inverse(sk_c1) = sk_c1 ),
inference(forward_demodulation,[status(thm)],[f1296,f1308]) ).
fof(f1347,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| inverse(X0) != sk_c9
| multiply(X0,sk_c1) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f1296,f176]) ).
fof(f1348,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| inverse(X0) != sk_c1
| multiply(X0,sk_c1) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f1296,f1347]) ).
fof(f1349,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ15_spl
| inverse(sk_c1) != sk_c1
| sk_c1 != sk_c8 ),
inference(paramodulation,[status(thm)],[f1263,f1348]) ).
fof(f1352,definition,
( sQ73_spl
<=> sk_c1 = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f1354,plain,
( sQ73_spl
| sk_c1 != sk_c8 ),
inference(component_clause,[status(thm)],[f1352]) ).
fof(f1355,definition,
( sQ74_spl
<=> inverse(sk_c1) = sk_c1 ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f1357,plain,
( sQ74_spl
| inverse(sk_c1) != sk_c1 ),
inference(component_clause,[status(thm)],[f1355]) ).
fof(f1358,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ15_spl
| ~ sQ74_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f1349,f1352,f1355,f175,f90,f146,f133]) ).
fof(f1363,plain,
( sQ74_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| sk_c1 != sk_c1 ),
inference(forward_demodulation,[status(thm)],[f1309,f1357]) ).
fof(f1364,plain,
( sQ74_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1363]) ).
fof(f1365,plain,
( sQ74_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f1364]) ).
fof(f1386,plain,
( sQ53_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ0_spl
| inverse(inverse(sk_c1)) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f1296,f1208]) ).
fof(f1387,plain,
( sQ53_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ0_spl
| inverse(sk_c1) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f1309,f1386]) ).
fof(f1388,plain,
( sQ53_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ0_spl
| sk_c1 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f1309,f1387]) ).
fof(f1389,plain,
( sQ53_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ0_spl
| sk_c1 != sk_c1 ),
inference(forward_demodulation,[status(thm)],[f1301,f1388]) ).
fof(f1390,plain,
( sQ53_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1389]) ).
fof(f1391,plain,
( sQ53_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1390]) ).
fof(f1402,plain,
( sQ44_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f719,f776,f709]) ).
fof(f1414,plain,
( sQ0_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| sk_c5 != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f1064,f592]) ).
fof(f1415,plain,
( sQ0_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1414]) ).
fof(f1416,plain,
( sQ0_spl
| ~ sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f1415]) ).
fof(f1437,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ4_spl
| multiply(inverse(X0),X0) = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f446,f46]) ).
fof(f1456,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| sk_c10 = multiply(inverse(sk_c7),sk_c7) ),
inference(paramodulation,[status(thm)],[f435,f302]) ).
fof(f1458,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c10 = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f1437,f1456]) ).
fof(f1462,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| inverse(sk_c2) = sk_c8 ),
inference(backward_demodulation,[status(thm)],[f1458,f98]) ).
fof(f1465,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c8,sk_c2) = sk_c8 ),
inference(paramodulation,[status(thm)],[f1462,f1437]) ).
fof(f1467,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c2 = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f455,f1465]) ).
fof(f1478,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c8,sk_c10) = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1467,f94]) ).
fof(f1479,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c10 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f455,f1478]) ).
fof(f1482,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c8 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1458,f1479]) ).
fof(f1494,plain,
( sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c10 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f455,f161]) ).
fof(f1495,plain,
( sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c8 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1458,f1494]) ).
fof(f1496,plain,
( sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c8 != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f1482,f1495]) ).
fof(f1497,plain,
( sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ1_spl
| ~ sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1496]) ).
fof(f1498,plain,
( sQ13_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ1_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f1497]) ).
fof(f1533,plain,
( ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ0_spl
| sk_c8 = sk_c1 ),
inference(paramodulation,[status(thm)],[f1290,f1302]) ).
fof(f1539,plain,
( ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ0_spl
| sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1533,f1354]) ).
fof(f1540,plain,
( ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ0_spl
| sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f1539]) ).
fof(f1541,plain,
$false,
inference(sat_refutation,[status(thm)],[f104,f108,f112,f116,f120,f124,f128,f132,f136,f137,f138,f139,f140,f141,f142,f143,f144,f145,f149,f150,f151,f152,f153,f154,f155,f156,f157,f158,f162,f163,f164,f165,f166,f167,f181,f273,f288,f297,f322,f660,f679,f718,f789,f827,f829,f832,f1132,f1144,f1148,f1154,f1232,f1273,f1279,f1289,f1358,f1365,f1391,f1402,f1416,f1498,f1540]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP375-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n008.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 20:11:24 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.45 % Refutation found
% 0.13/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.48 % Elapsed time: 0.106206 seconds
% 0.13/0.48 % CPU time: 0.491969 seconds
% 0.13/0.48 % Total memory used: 112.069 MB
% 0.13/0.48 % Net memory used: 111.674 MB
%------------------------------------------------------------------------------