%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP249-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 12:33:12 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 71
% Syntax : Number of formulae : 326 ( 14 unt; 34 def)
% Number of atoms : 1094 ( 370 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1432 ( 664 ~; 734 |; 0 &)
% ( 34 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 36 ( 34 usr; 35 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 64 ( 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : multiply(identity,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : multiply(inverse(X),X) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
( inverse(sk_c8) = sk_c7
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( inverse(sk_c4) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c8
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c8
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c8
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( inverse(sk_c8) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c9
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c9
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c9
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c8
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c8
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
( inverse(sk_c4) = sk_c9
| multiply(sk_c3,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c9
| multiply(sk_c3,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c3,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
! [X4,X5,X6,X1,X3,X2] :
( multiply(X2,sk_c7) != sk_c8
| inverse(X3) != X2
| multiply(X3,X2) != sk_c8
| multiply(X1,sk_c8) != sk_c9
| inverse(X1) != sk_c9
| inverse(sk_c8) != sk_c7
| multiply(X6,sk_c7) != sk_c9
| inverse(X6) != sk_c9
| inverse(X5) != sk_c8
| multiply(X5,sk_c8) != sk_c7
| inverse(X4) != sk_c9
| multiply(X4,sk_c9) != sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,plain,
! [X0] : multiply(identity,X0) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f42,plain,
! [X0] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f43,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f44,plain,
( inverse(sk_c8) = sk_c7
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f45,plain,
( inverse(sk_c4) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f46,plain,
( multiply(sk_c4,sk_c8) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f47,plain,
( multiply(sk_c5,sk_c6) = sk_c8
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f48,plain,
( inverse(sk_c5) = sk_c6
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f49,plain,
( multiply(sk_c6,sk_c7) = sk_c8
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f50,plain,
( inverse(sk_c8) = sk_c7
| inverse(sk_c1) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f51,plain,
( inverse(sk_c4) = sk_c9
| inverse(sk_c1) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f52,plain,
( multiply(sk_c4,sk_c8) = sk_c9
| inverse(sk_c1) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f53,plain,
( multiply(sk_c5,sk_c6) = sk_c8
| inverse(sk_c1) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f54,plain,
( inverse(sk_c5) = sk_c6
| inverse(sk_c1) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f55,plain,
( multiply(sk_c6,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f56,plain,
( inverse(sk_c8) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f58,plain,
( multiply(sk_c4,sk_c8) = sk_c9
| multiply(sk_c2,sk_c8) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f59,plain,
( multiply(sk_c5,sk_c6) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f60,plain,
( inverse(sk_c5) = sk_c6
| multiply(sk_c2,sk_c8) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f61,plain,
( multiply(sk_c6,sk_c7) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f62,plain,
( inverse(sk_c8) = sk_c7
| inverse(sk_c2) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f63,plain,
( inverse(sk_c4) = sk_c9
| inverse(sk_c2) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f64,plain,
( multiply(sk_c4,sk_c8) = sk_c9
| inverse(sk_c2) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f65,plain,
( multiply(sk_c5,sk_c6) = sk_c8
| inverse(sk_c2) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f66,plain,
( inverse(sk_c5) = sk_c6
| inverse(sk_c2) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f67,plain,
( multiply(sk_c6,sk_c7) = sk_c8
| inverse(sk_c2) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f69,plain,
( inverse(sk_c4) = sk_c9
| inverse(sk_c3) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f70,plain,
( multiply(sk_c4,sk_c8) = sk_c9
| inverse(sk_c3) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f71,plain,
( multiply(sk_c5,sk_c6) = sk_c8
| inverse(sk_c3) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f72,plain,
( inverse(sk_c5) = sk_c6
| inverse(sk_c3) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f73,plain,
( multiply(sk_c6,sk_c7) = sk_c8
| inverse(sk_c3) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f75,plain,
( inverse(sk_c4) = sk_c9
| multiply(sk_c3,sk_c7) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f76,plain,
( multiply(sk_c4,sk_c8) = sk_c9
| multiply(sk_c3,sk_c7) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f77,plain,
( multiply(sk_c5,sk_c6) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f78,plain,
( inverse(sk_c5) = sk_c6
| multiply(sk_c3,sk_c7) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f79,plain,
( multiply(sk_c6,sk_c7) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f80,plain,
! [X2] :
( multiply(X2,sk_c7) != sk_c8
| ! [X3] :
( inverse(X3) != X2
| multiply(X3,X2) != sk_c8
| ! [X1] :
( multiply(X1,sk_c8) != sk_c9
| inverse(X1) != sk_c9
| inverse(sk_c8) != sk_c7
| ! [X6] :
( multiply(X6,sk_c7) != sk_c9
| inverse(X6) != sk_c9
| ! [X5] :
( inverse(X5) != sk_c8
| multiply(X5,sk_c8) != sk_c7
| ! [X4] :
( inverse(X4) != sk_c9
| multiply(X4,sk_c9) != sk_c8 ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f40]) ).
fof(f81,plain,
! [X0,X1,X2,X3,X4,X5] :
( multiply(X5,sk_c7) != sk_c8
| inverse(X4) != X5
| multiply(X4,X5) != sk_c8
| multiply(X3,sk_c8) != sk_c9
| inverse(X3) != sk_c9
| inverse(sk_c8) != sk_c7
| multiply(X2,sk_c7) != sk_c9
| inverse(X2) != sk_c9
| inverse(X1) != sk_c8
| multiply(X1,sk_c8) != sk_c7
| inverse(X0) != sk_c9
| multiply(X0,sk_c9) != sk_c8 ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f82,definition,
( sQ0_spl
<=> multiply(sk_c1,sk_c9) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f83,plain,
( ~ sQ0_spl
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(component_clause,[status(thm)],[f82]) ).
fof(f85,definition,
( sQ1_spl
<=> inverse(sk_c8) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f86,plain,
( ~ sQ1_spl
| inverse(sk_c8) = sk_c7 ),
inference(component_clause,[status(thm)],[f85]) ).
fof(f87,plain,
( sQ1_spl
| inverse(sk_c8) != sk_c7 ),
inference(component_clause,[status(thm)],[f85]) ).
fof(f88,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f44,f82,f85]) ).
fof(f89,definition,
( sQ2_spl
<=> inverse(sk_c4) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f90,plain,
( ~ sQ2_spl
| inverse(sk_c4) = sk_c9 ),
inference(component_clause,[status(thm)],[f89]) ).
fof(f92,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f45,f82,f89]) ).
fof(f93,definition,
( sQ3_spl
<=> multiply(sk_c4,sk_c8) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f94,plain,
( ~ sQ3_spl
| multiply(sk_c4,sk_c8) = sk_c9 ),
inference(component_clause,[status(thm)],[f93]) ).
fof(f96,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f46,f82,f93]) ).
fof(f97,definition,
( sQ4_spl
<=> multiply(sk_c5,sk_c6) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f98,plain,
( ~ sQ4_spl
| multiply(sk_c5,sk_c6) = sk_c8 ),
inference(component_clause,[status(thm)],[f97]) ).
fof(f100,plain,
( sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f47,f82,f97]) ).
fof(f101,definition,
( sQ5_spl
<=> inverse(sk_c5) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f102,plain,
( ~ sQ5_spl
| inverse(sk_c5) = sk_c6 ),
inference(component_clause,[status(thm)],[f101]) ).
fof(f104,plain,
( sQ5_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f48,f82,f101]) ).
fof(f105,definition,
( sQ6_spl
<=> multiply(sk_c6,sk_c7) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f106,plain,
( ~ sQ6_spl
| multiply(sk_c6,sk_c7) = sk_c8 ),
inference(component_clause,[status(thm)],[f105]) ).
fof(f108,plain,
( sQ6_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f49,f82,f105]) ).
fof(f109,definition,
( sQ7_spl
<=> inverse(sk_c1) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f110,plain,
( ~ sQ7_spl
| inverse(sk_c1) = sk_c9 ),
inference(component_clause,[status(thm)],[f109]) ).
fof(f112,plain,
( sQ1_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f50,f109,f85]) ).
fof(f113,plain,
( sQ2_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f51,f109,f89]) ).
fof(f114,plain,
( sQ3_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f52,f109,f93]) ).
fof(f115,plain,
( sQ4_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f53,f109,f97]) ).
fof(f116,plain,
( sQ5_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f54,f109,f101]) ).
fof(f117,plain,
( sQ6_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f55,f109,f105]) ).
fof(f118,definition,
( sQ8_spl
<=> multiply(sk_c2,sk_c8) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f119,plain,
( ~ sQ8_spl
| multiply(sk_c2,sk_c8) = sk_c7 ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f121,plain,
( sQ1_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f56,f118,f85]) ).
fof(f123,plain,
( sQ3_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f58,f118,f93]) ).
fof(f124,plain,
( sQ4_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f59,f118,f97]) ).
fof(f125,plain,
( sQ5_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f60,f118,f101]) ).
fof(f126,plain,
( sQ6_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f61,f118,f105]) ).
fof(f127,definition,
( sQ9_spl
<=> inverse(sk_c2) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f128,plain,
( ~ sQ9_spl
| inverse(sk_c2) = sk_c8 ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f130,plain,
( sQ1_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f62,f127,f85]) ).
fof(f131,plain,
( sQ2_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f63,f127,f89]) ).
fof(f132,plain,
( sQ3_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f64,f127,f93]) ).
fof(f133,plain,
( sQ4_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f65,f127,f97]) ).
fof(f134,plain,
( sQ5_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f66,f127,f101]) ).
fof(f135,plain,
( sQ6_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f67,f127,f105]) ).
fof(f136,definition,
( sQ10_spl
<=> inverse(sk_c3) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f137,plain,
( ~ sQ10_spl
| inverse(sk_c3) = sk_c9 ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f140,plain,
( sQ2_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f69,f136,f89]) ).
fof(f141,plain,
( sQ3_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f70,f136,f93]) ).
fof(f142,plain,
( sQ4_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f71,f136,f97]) ).
fof(f143,plain,
( sQ5_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f72,f136,f101]) ).
fof(f144,plain,
( sQ6_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f73,f136,f105]) ).
fof(f145,definition,
( sQ11_spl
<=> multiply(sk_c3,sk_c7) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f146,plain,
( ~ sQ11_spl
| multiply(sk_c3,sk_c7) = sk_c9 ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f149,plain,
( sQ2_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f75,f145,f89]) ).
fof(f150,plain,
( sQ3_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f76,f145,f93]) ).
fof(f151,plain,
( sQ4_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f77,f145,f97]) ).
fof(f152,plain,
( sQ5_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f78,f145,f101]) ).
fof(f153,plain,
( sQ6_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f79,f145,f105]) ).
fof(f154,definition,
! [X0] :
( sQ12_spl
<=> ( inverse(X0) != sk_c9
| multiply(X0,sk_c9) != sk_c8 ) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f155,plain,
! [X0] :
( ~ sQ12_spl
| inverse(X0) != sk_c9
| multiply(X0,sk_c9) != sk_c8 ),
inference(component_clause,[status(thm)],[f154]) ).
fof(f157,definition,
! [X1] :
( sQ13_spl
<=> ( inverse(X1) != sk_c8
| multiply(X1,sk_c8) != sk_c7 ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f158,plain,
! [X0] :
( ~ sQ13_spl
| inverse(X0) != sk_c8
| multiply(X0,sk_c8) != sk_c7 ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f160,definition,
! [X2] :
( sQ14_spl
<=> ( multiply(X2,sk_c7) != sk_c9
| inverse(X2) != sk_c9 ) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f161,plain,
! [X0] :
( ~ sQ14_spl
| multiply(X0,sk_c7) != sk_c9
| inverse(X0) != sk_c9 ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f163,definition,
! [X3] :
( sQ15_spl
<=> ( multiply(X3,sk_c8) != sk_c9
| inverse(X3) != sk_c9 ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f164,plain,
! [X0] :
( ~ sQ15_spl
| multiply(X0,sk_c8) != sk_c9
| inverse(X0) != sk_c9 ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f166,definition,
! [X4,X5] :
( sQ16_spl
<=> ( multiply(X5,sk_c7) != sk_c8
| inverse(X4) != X5
| multiply(X4,X5) != sk_c8 ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f167,plain,
! [X0,X1] :
( ~ sQ16_spl
| multiply(X1,sk_c7) != sk_c8
| inverse(X0) != X1
| multiply(X0,X1) != sk_c8 ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f169,plain,
( sQ16_spl
| sQ15_spl
| ~ sQ1_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f81,f154,f157,f160,f85,f163,f166]) ).
fof(f170,plain,
! [X0] :
( ~ sQ16_spl
| multiply(inverse(X0),sk_c7) != sk_c8
| multiply(X0,inverse(X0)) != sk_c8 ),
inference(destructive_equality_resolution,[status(thm)],[f167]) ).
fof(f172,plain,
! [X0] :
( ~ sQ3_spl
| multiply(sk_c9,X0) = multiply(sk_c4,multiply(sk_c8,X0)) ),
inference(paramodulation,[status(thm)],[f94,f43]) ).
fof(f175,plain,
! [X0] :
( ~ sQ0_spl
| multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c9,X0)) ),
inference(paramodulation,[status(thm)],[f83,f43]) ).
fof(f184,plain,
( ~ sQ5_spl
| ~ sQ16_spl
| multiply(sk_c6,sk_c7) != sk_c8
| multiply(sk_c5,inverse(sk_c5)) != sk_c8 ),
inference(paramodulation,[status(thm)],[f102,f170]) ).
fof(f185,plain,
( ~ sQ7_spl
| ~ sQ16_spl
| multiply(sk_c9,sk_c7) != sk_c8
| multiply(sk_c1,inverse(sk_c1)) != sk_c8 ),
inference(paramodulation,[status(thm)],[f110,f170]) ).
fof(f186,plain,
( ~ sQ9_spl
| ~ sQ16_spl
| multiply(sk_c8,sk_c7) != sk_c8
| multiply(sk_c2,inverse(sk_c2)) != sk_c8 ),
inference(paramodulation,[status(thm)],[f128,f170]) ).
fof(f191,definition,
( sQ18_spl
<=> multiply(sk_c9,sk_c7) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f195,definition,
( sQ19_spl
<=> multiply(sk_c5,inverse(sk_c5)) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f197,plain,
( sQ19_spl
| multiply(sk_c5,inverse(sk_c5)) != sk_c8 ),
inference(component_clause,[status(thm)],[f195]) ).
fof(f198,plain,
( ~ sQ5_spl
| ~ sQ16_spl
| ~ sQ6_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f184,f195,f105,f166,f101]) ).
fof(f199,definition,
( sQ20_spl
<=> multiply(sk_c1,inverse(sk_c1)) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f201,plain,
( sQ20_spl
| multiply(sk_c1,inverse(sk_c1)) != sk_c8 ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f202,plain,
( ~ sQ7_spl
| ~ sQ16_spl
| ~ sQ18_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f185,f199,f191,f166,f109]) ).
fof(f203,definition,
( sQ21_spl
<=> multiply(sk_c2,inverse(sk_c2)) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f205,plain,
( sQ21_spl
| multiply(sk_c2,inverse(sk_c2)) != sk_c8 ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f206,definition,
( sQ22_spl
<=> multiply(sk_c8,sk_c7) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f208,plain,
( sQ22_spl
| multiply(sk_c8,sk_c7) != sk_c8 ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,plain,
( ~ sQ9_spl
| ~ sQ16_spl
| ~ sQ22_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f186,f203,f206,f166,f127]) ).
fof(f217,plain,
( sQ20_spl
| ~ sQ7_spl
| multiply(sk_c1,sk_c9) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f110,f201]) ).
fof(f218,plain,
( sQ20_spl
| ~ sQ7_spl
| ~ sQ0_spl
| sk_c8 != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f83,f217]) ).
fof(f219,plain,
( sQ20_spl
| ~ sQ7_spl
| ~ sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f218]) ).
fof(f220,plain,
( sQ20_spl
| ~ sQ7_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f219]) ).
fof(f221,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| multiply(sk_c3,sk_c8) != sk_c9 ),
inference(resolution,[status(thm)],[f164,f137]) ).
fof(f222,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| multiply(sk_c2,sk_c8) != sk_c9
| sk_c8 != sk_c9 ),
inference(paramodulation,[status(thm)],[f128,f164]) ).
fof(f224,definition,
( sQ24_spl
<=> sk_c8 = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f227,definition,
( sQ25_spl
<=> multiply(sk_c2,sk_c8) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f230,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ25_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f222,f224,f227,f163,f127]) ).
fof(f231,definition,
( sQ26_spl
<=> sk_c9 = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f233,plain,
( sQ26_spl
| sk_c9 != sk_c9 ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f238,plain,
( sQ26_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f233]) ).
fof(f239,plain,
sQ26_spl,
inference(contradiction_clause,[status(thm)],[f238]) ).
fof(f245,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f42,f43]) ).
fof(f246,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f41,f245]) ).
fof(f250,plain,
( ~ sQ2_spl
| ~ sQ14_spl
| multiply(sk_c4,sk_c7) != sk_c9
| sk_c9 != sk_c9 ),
inference(paramodulation,[status(thm)],[f90,f161]) ).
fof(f259,definition,
( sQ30_spl
<=> multiply(sk_c4,sk_c7) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f261,plain,
( sQ30_spl
| multiply(sk_c4,sk_c7) != sk_c9 ),
inference(component_clause,[status(thm)],[f259]) ).
fof(f262,plain,
( ~ sQ2_spl
| ~ sQ14_spl
| ~ sQ30_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f250,f231,f259,f160,f89]) ).
fof(f270,plain,
( ~ sQ5_spl
| ~ sQ13_spl
| sk_c6 != sk_c8
| multiply(sk_c5,sk_c8) != sk_c7 ),
inference(paramodulation,[status(thm)],[f102,f158]) ).
fof(f273,definition,
( sQ33_spl
<=> multiply(sk_c5,sk_c8) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f275,plain,
( sQ33_spl
| multiply(sk_c5,sk_c8) != sk_c7 ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f276,definition,
( sQ34_spl
<=> sk_c6 = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f278,plain,
( sQ34_spl
| sk_c6 != sk_c8 ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,plain,
( ~ sQ5_spl
| ~ sQ13_spl
| ~ sQ34_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f270,f273,f276,f157,f101]) ).
fof(f294,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| sk_c9 != sk_c9
| multiply(sk_c4,sk_c9) != sk_c8 ),
inference(paramodulation,[status(thm)],[f90,f155]) ).
fof(f300,definition,
( sQ39_spl
<=> multiply(sk_c4,sk_c9) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f302,plain,
( sQ39_spl
| multiply(sk_c4,sk_c9) != sk_c8 ),
inference(component_clause,[status(thm)],[f300]) ).
fof(f303,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| ~ sQ26_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f294,f300,f231,f154,f89]) ).
fof(f338,plain,
! [X0] : X0 = multiply(inverse(identity),X0),
inference(paramodulation,[status(thm)],[f41,f246]) ).
fof(f341,plain,
( ~ sQ3_spl
| sk_c8 = multiply(inverse(sk_c4),sk_c9) ),
inference(paramodulation,[status(thm)],[f94,f246]) ).
fof(f343,plain,
( ~ sQ4_spl
| sk_c6 = multiply(inverse(sk_c5),sk_c8) ),
inference(paramodulation,[status(thm)],[f98,f246]) ).
fof(f350,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| sk_c8 = multiply(sk_c9,sk_c9) ),
inference(forward_demodulation,[status(thm)],[f90,f341]) ).
fof(f352,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| sk_c6 = multiply(sk_c6,sk_c8) ),
inference(forward_demodulation,[status(thm)],[f102,f343]) ).
fof(f364,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| sk_c8 = multiply(inverse(sk_c6),sk_c6) ),
inference(paramodulation,[status(thm)],[f352,f246]) ).
fof(f367,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| sk_c8 = identity ),
inference(forward_demodulation,[status(thm)],[f42,f364]) ).
fof(f368,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ5_spl
| X0 = multiply(inverse(sk_c8),X0) ),
inference(backward_demodulation,[status(thm)],[f367,f338]) ).
fof(f372,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ5_spl
| multiply(inverse(X0),X0) = sk_c8 ),
inference(backward_demodulation,[status(thm)],[f367,f42]) ).
fof(f373,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ5_spl
| multiply(sk_c8,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f367,f41]) ).
fof(f374,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| X0 = multiply(sk_c7,X0) ),
inference(forward_demodulation,[status(thm)],[f86,f368]) ).
fof(f375,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| X0 = multiply(inverse(sk_c7),X0) ),
inference(paramodulation,[status(thm)],[f374,f246]) ).
fof(f380,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ4_spl
| ~ sQ5_spl
| X0 = multiply(sk_c1,multiply(sk_c9,X0)) ),
inference(backward_demodulation,[status(thm)],[f373,f175]) ).
fof(f382,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| multiply(sk_c9,X0) = multiply(sk_c4,X0) ),
inference(backward_demodulation,[status(thm)],[f373,f172]) ).
fof(f386,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| multiply(sk_c6,sk_c5) = sk_c8 ),
inference(paramodulation,[status(thm)],[f102,f372]) ).
fof(f416,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sk_c7 = sk_c8 ),
inference(paramodulation,[status(thm)],[f375,f372]) ).
fof(f424,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| multiply(inverse(X0),X0) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f416,f372]) ).
fof(f427,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sk_c6 = multiply(sk_c6,sk_c7) ),
inference(backward_demodulation,[status(thm)],[f416,f352]) ).
fof(f430,plain,
( sQ33_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| multiply(sk_c5,sk_c7) != sk_c7 ),
inference(backward_demodulation,[status(thm)],[f416,f275]) ).
fof(f431,plain,
( sQ34_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sk_c6 != sk_c7 ),
inference(backward_demodulation,[status(thm)],[f416,f278]) ).
fof(f433,plain,
( ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| multiply(sk_c6,sk_c7) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f416,f106]) ).
fof(f436,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| multiply(sk_c4,sk_c7) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f416,f94]) ).
fof(f437,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| multiply(sk_c5,sk_c6) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f416,f98]) ).
fof(f446,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| inverse(X0) != sk_c9
| multiply(X0,sk_c9) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f416,f155]) ).
fof(f457,definition,
( sQ43_spl
<=> inverse(sk_c9) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f459,plain,
( sQ43_spl
| inverse(sk_c9) != sk_c9 ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f461,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ1_spl
| multiply(sk_c6,sk_c5) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f416,f386]) ).
fof(f476,definition,
( sQ44_spl
<=> sk_c7 = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f478,plain,
( sQ44_spl
| sk_c7 != sk_c7 ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f485,plain,
( ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| multiply(sk_c9,sk_c4) = sk_c7 ),
inference(paramodulation,[status(thm)],[f90,f424]) ).
fof(f495,plain,
( sQ44_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f478]) ).
fof(f496,plain,
sQ44_spl,
inference(contradiction_clause,[status(thm)],[f495]) ).
fof(f509,plain,
( sQ19_spl
| ~ sQ5_spl
| multiply(sk_c5,sk_c6) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f102,f197]) ).
fof(f510,plain,
( sQ19_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ1_spl
| multiply(sk_c5,sk_c6) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f416,f509]) ).
fof(f516,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sk_c7 = multiply(sk_c9,sk_c9) ),
inference(forward_demodulation,[status(thm)],[f416,f350]) ).
fof(f575,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f437,f510]) ).
fof(f576,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f575]) ).
fof(f579,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f436,f261]) ).
fof(f580,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f579]) ).
fof(f581,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ6_spl
| sk_c6 = multiply(sk_c9,sk_c9) ),
inference(backward_demodulation,[status(thm)],[f592,f516]) ).
fof(f582,plain,
( ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ6_spl
| multiply(sk_c9,sk_c4) = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f592,f485]) ).
fof(f587,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ6_spl
| X0 = multiply(sk_c6,X0) ),
inference(backward_demodulation,[status(thm)],[f592,f374]) ).
fof(f590,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ6_spl
| sk_c6 = sk_c8 ),
inference(backward_demodulation,[status(thm)],[f592,f416]) ).
fof(f592,plain,
( ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sk_c6 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f427,f433]) ).
fof(f606,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ6_spl
| sk_c5 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f587,f461]) ).
fof(f608,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ6_spl
| sk_c5 = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f592,f606]) ).
fof(f615,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ6_spl
| inverse(X0) != sk_c9
| multiply(X0,sk_c9) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f592,f446]) ).
fof(f621,definition,
( sQ47_spl
<=> sk_c6 = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f623,plain,
( sQ47_spl
| sk_c6 != sk_c6 ),
inference(component_clause,[status(thm)],[f621]) ).
fof(f625,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ6_spl
| multiply(sk_c4,sk_c6) = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f592,f436]) ).
fof(f632,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ12_spl
| inverse(sk_c9) != sk_c9
| sk_c6 != sk_c6 ),
inference(paramodulation,[status(thm)],[f581,f615]) ).
fof(f635,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ12_spl
| ~ sQ43_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f632,f621,f457,f154,f105,f85,f101,f97,f89,f93]) ).
fof(f637,plain,
( sQ47_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f623]) ).
fof(f638,plain,
sQ47_spl,
inference(contradiction_clause,[status(thm)],[f637]) ).
fof(f644,plain,
( sQ33_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ6_spl
| multiply(sk_c6,sk_c7) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f608,f430]) ).
fof(f645,plain,
( sQ33_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ6_spl
| sk_c7 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f587,f644]) ).
fof(f646,plain,
( sQ33_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ6_spl
| sk_c6 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f592,f645]) ).
fof(f647,plain,
( sQ33_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ6_spl
| sk_c6 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f592,f646]) ).
fof(f648,plain,
( sQ33_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f647]) ).
fof(f649,plain,
( sQ33_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f648]) ).
fof(f689,plain,
( ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ0_spl
| sk_c4 = multiply(sk_c1,sk_c6) ),
inference(paramodulation,[status(thm)],[f582,f380]) ).
fof(f690,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ0_spl
| sk_c9 = multiply(sk_c1,sk_c6) ),
inference(paramodulation,[status(thm)],[f581,f380]) ).
fof(f705,plain,
( sQ43_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ0_spl
| inverse(sk_c9) != sk_c4 ),
inference(backward_demodulation,[status(thm)],[f712,f459]) ).
fof(f711,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ0_spl
| inverse(sk_c4) = sk_c4 ),
inference(backward_demodulation,[status(thm)],[f712,f90]) ).
fof(f712,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ0_spl
| sk_c9 = sk_c4 ),
inference(forward_demodulation,[status(thm)],[f689,f690]) ).
fof(f714,plain,
( sQ43_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ0_spl
| inverse(sk_c4) != sk_c4 ),
inference(forward_demodulation,[status(thm)],[f712,f705]) ).
fof(f717,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ0_spl
| sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f711,f714]) ).
fof(f718,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ0_spl
| sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f717]) ).
fof(f749,plain,
( sQ34_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ6_spl
| sk_c6 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f592,f431]) ).
fof(f750,plain,
( sQ34_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f749]) ).
fof(f751,plain,
( sQ34_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f750]) ).
fof(f792,plain,
( ~ sQ0_spl
| sk_c9 = multiply(inverse(sk_c1),sk_c8) ),
inference(paramodulation,[status(thm)],[f83,f246]) ).
fof(f794,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| sk_c9 = multiply(sk_c9,sk_c8) ),
inference(forward_demodulation,[status(thm)],[f110,f792]) ).
fof(f837,plain,
( ~ sQ14_spl
| ~ sQ11_spl
| inverse(sk_c3) != sk_c9 ),
inference(resolution,[status(thm)],[f146,f161]) ).
fof(f841,plain,
( ~ sQ14_spl
| ~ sQ11_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f837,f136,f145,f160]) ).
fof(f844,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| inverse(sk_c1) != sk_c9 ),
inference(resolution,[status(thm)],[f155,f83]) ).
fof(f850,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f844,f109,f154,f82]) ).
fof(f852,definition,
( sQ52_spl
<=> sk_c8 = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f854,plain,
( sQ52_spl
| sk_c8 != sk_c8 ),
inference(component_clause,[status(thm)],[f852]) ).
fof(f857,definition,
( sQ53_spl
<=> identity = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f859,plain,
( sQ53_spl
| identity != sk_c8 ),
inference(component_clause,[status(thm)],[f857]) ).
fof(f861,plain,
( sQ52_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f854]) ).
fof(f862,plain,
sQ52_spl,
inference(contradiction_clause,[status(thm)],[f861]) ).
fof(f865,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| sk_c8 = multiply(inverse(sk_c9),sk_c9) ),
inference(paramodulation,[status(thm)],[f794,f246]) ).
fof(f867,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| sk_c8 = identity ),
inference(forward_demodulation,[status(thm)],[f42,f865]) ).
fof(f868,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f867,f859]) ).
fof(f869,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f868]) ).
fof(f870,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ7_spl
| multiply(inverse(X0),X0) = sk_c8 ),
inference(backward_demodulation,[status(thm)],[f867,f42]) ).
fof(f873,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ7_spl
| multiply(sk_c8,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f867,f41]) ).
fof(f880,plain,
( ~ sQ8_spl
| ~ sQ13_spl
| inverse(sk_c2) != sk_c8 ),
inference(resolution,[status(thm)],[f158,f119]) ).
fof(f886,plain,
( ~ sQ8_spl
| ~ sQ13_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f880,f127,f157,f118]) ).
fof(f903,plain,
( ~ sQ9_spl
| ~ sQ0_spl
| ~ sQ7_spl
| multiply(sk_c8,sk_c2) = sk_c8 ),
inference(paramodulation,[status(thm)],[f128,f870]) ).
fof(f907,plain,
( ~ sQ9_spl
| ~ sQ0_spl
| ~ sQ7_spl
| sk_c2 = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f873,f903]) ).
fof(f910,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ9_spl
| multiply(sk_c2,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f907,f873]) ).
fof(f912,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ9_spl
| sk_c9 = multiply(sk_c9,sk_c2) ),
inference(backward_demodulation,[status(thm)],[f907,f794]) ).
fof(f913,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ0_spl
| ~ sQ7_spl
| multiply(sk_c2,sk_c2) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f907,f119]) ).
fof(f916,plain,
( ~ sQ1_spl
| ~ sQ9_spl
| ~ sQ0_spl
| ~ sQ7_spl
| inverse(sk_c2) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f907,f86]) ).
fof(f917,plain,
( ~ sQ9_spl
| ~ sQ0_spl
| ~ sQ7_spl
| inverse(sk_c2) = sk_c2 ),
inference(backward_demodulation,[status(thm)],[f907,f128]) ).
fof(f922,plain,
( ~ sQ1_spl
| ~ sQ9_spl
| ~ sQ0_spl
| ~ sQ7_spl
| inverse(sk_c2) = sk_c2 ),
inference(backward_demodulation,[status(thm)],[f925,f916]) ).
fof(f924,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ1_spl
| multiply(sk_c3,sk_c2) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f925,f146]) ).
fof(f925,plain,
( ~ sQ9_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ1_spl
| sk_c7 = sk_c2 ),
inference(forward_demodulation,[status(thm)],[f916,f917]) ).
fof(f943,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ9_spl
| ~ sQ0_spl
| ~ sQ7_spl
| multiply(X0,sk_c2) != sk_c9
| inverse(X0) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f907,f164]) ).
fof(f989,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ0_spl
| ~ sQ7_spl
| sk_c2 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f910,f913]) ).
fof(f1006,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| ~ sQ9_spl
| ~ sQ0_spl
| ~ sQ7_spl
| multiply(sk_c3,sk_c2) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f907,f221]) ).
fof(f1012,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ9_spl
| ~ sQ15_spl
| sk_c9 != sk_c9
| inverse(sk_c9) != sk_c9 ),
inference(paramodulation,[status(thm)],[f912,f943]) ).
fof(f1015,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ26_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1012,f457,f231,f163,f127,f109,f82]) ).
fof(f1016,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f924,f1006]) ).
fof(f1017,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ1_spl
| ~ sQ10_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f1016]) ).
fof(f1029,plain,
( sQ21_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ9_spl
| inverse(sk_c2) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f910,f205]) ).
fof(f1030,plain,
( sQ21_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ9_spl
| ~ sQ1_spl
| sk_c2 != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f922,f1029]) ).
fof(f1031,plain,
( sQ21_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ9_spl
| ~ sQ1_spl
| sk_c2 != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f907,f1030]) ).
fof(f1032,plain,
( sQ21_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ9_spl
| ~ sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1031]) ).
fof(f1033,plain,
( sQ21_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ9_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f1032]) ).
fof(f1039,plain,
( sQ22_spl
| ~ sQ9_spl
| ~ sQ0_spl
| ~ sQ7_spl
| multiply(sk_c2,sk_c7) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f907,f208]) ).
fof(f1040,plain,
( sQ22_spl
| ~ sQ9_spl
| ~ sQ0_spl
| ~ sQ7_spl
| sk_c7 != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f910,f1039]) ).
fof(f1041,plain,
( sQ22_spl
| ~ sQ9_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ1_spl
| sk_c2 != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f925,f1040]) ).
fof(f1042,plain,
( sQ22_spl
| ~ sQ9_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ1_spl
| sk_c2 != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f907,f1041]) ).
fof(f1043,plain,
( sQ22_spl
| ~ sQ9_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1042]) ).
fof(f1044,plain,
( sQ22_spl
| ~ sQ9_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f1043]) ).
fof(f1082,plain,
( sQ39_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ6_spl
| multiply(sk_c4,sk_c9) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f590,f302]) ).
fof(f1099,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ6_spl
| sk_c6 = multiply(sk_c9,sk_c9) ),
inference(forward_demodulation,[status(thm)],[f592,f516]) ).
fof(f1142,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ6_spl
| sk_c6 = multiply(sk_c4,sk_c9) ),
inference(backward_demodulation,[status(thm)],[f382,f1099]) ).
fof(f1146,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ6_spl
| sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1142,f1082]) ).
fof(f1147,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ6_spl
| sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f1146]) ).
fof(f1149,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ6_spl
| multiply(X0,sk_c6) != sk_c9
| inverse(X0) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f590,f164]) ).
fof(f1151,plain,
( ~ sQ2_spl
| ~ sQ15_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ6_spl
| multiply(sk_c4,sk_c6) != sk_c9 ),
inference(resolution,[status(thm)],[f1149,f90]) ).
fof(f1154,plain,
( ~ sQ2_spl
| ~ sQ15_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ3_spl
| sk_c9 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f625,f1151]) ).
fof(f1155,plain,
( ~ sQ2_spl
| ~ sQ15_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1154]) ).
fof(f1156,plain,
( ~ sQ2_spl
| ~ sQ15_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ6_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f1155]) ).
fof(f1160,plain,
( sQ1_spl
| ~ sQ9_spl
| ~ sQ0_spl
| ~ sQ7_spl
| inverse(sk_c2) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f907,f87]) ).
fof(f1161,plain,
( sQ1_spl
| ~ sQ9_spl
| ~ sQ0_spl
| ~ sQ7_spl
| sk_c2 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f917,f1160]) ).
fof(f1162,plain,
( sQ1_spl
| ~ sQ9_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ8_spl
| sk_c2 != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f989,f1161]) ).
fof(f1163,plain,
( sQ1_spl
| ~ sQ9_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ8_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1162]) ).
fof(f1164,plain,
( sQ1_spl
| ~ sQ9_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f1163]) ).
fof(f1165,plain,
$false,
inference(sat_refutation,[status(thm)],[f88,f92,f96,f100,f104,f108,f112,f113,f114,f115,f116,f117,f121,f123,f124,f125,f126,f130,f131,f132,f133,f134,f135,f140,f141,f142,f143,f144,f149,f150,f151,f152,f153,f169,f198,f202,f209,f220,f230,f239,f262,f279,f303,f496,f576,f580,f635,f638,f649,f718,f751,f841,f850,f862,f869,f886,f1015,f1017,f1033,f1044,f1147,f1156,f1164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP249-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n002.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sun Sep 20 20:10:16 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.060272 seconds
% 0.13/0.41 % CPU time: 0.233291 seconds
% 0.13/0.41 % Total memory used: 102.564 MB
% 0.13/0.41 % Net memory used: 102.338 MB
%------------------------------------------------------------------------------