%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP362-1 : 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 12:33:31 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 74
% Syntax : Number of formulae : 325 ( 9 unt; 29 def)
% Number of atoms : 1115 ( 388 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 1443 ( 653 ~; 761 |; 0 &)
% ( 29 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 31 ( 29 usr; 30 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 51 ( 51 !; 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_c10) = sk_c9
| multiply(sk_c9,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( multiply(sk_c10,sk_c4) = sk_c9
| multiply(sk_c9,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c4
| multiply(sk_c9,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( inverse(sk_c3) = sk_c10
| multiply(sk_c9,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c8
| multiply(sk_c9,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c9,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( inverse(sk_c7) = sk_c10
| multiply(sk_c9,sk_c8) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( inverse(sk_c10) = sk_c9
| inverse(sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( multiply(sk_c10,sk_c4) = sk_c9
| inverse(sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c4
| inverse(sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( inverse(sk_c3) = sk_c10
| inverse(sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( inverse(sk_c10) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
( multiply(sk_c10,sk_c4) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c4
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( inverse(sk_c3) = sk_c10
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( inverse(sk_c10) = sk_c9
| multiply(sk_c10,sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
( multiply(sk_c10,sk_c4) = sk_c9
| multiply(sk_c10,sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c4
| multiply(sk_c10,sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
( inverse(sk_c3) = sk_c10
| multiply(sk_c10,sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c8
| multiply(sk_c10,sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c10,sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
( inverse(sk_c7) = sk_c10
| multiply(sk_c10,sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c10
| multiply(sk_c10,sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
( inverse(sk_c10) = sk_c9
| multiply(sk_c1,sk_c10) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
( multiply(sk_c10,sk_c4) = sk_c9
| multiply(sk_c1,sk_c10) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c4
| multiply(sk_c1,sk_c10) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
( inverse(sk_c3) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c8
| multiply(sk_c1,sk_c10) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c1,sk_c10) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c8
| multiply(sk_c1,sk_c10) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
( inverse(sk_c7) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
( inverse(sk_c10) = sk_c9
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
( multiply(sk_c10,sk_c4) = sk_c9
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c4
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
( inverse(sk_c3) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c8
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,negated_conjecture,
( inverse(sk_c7) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
! [X3,X4,X1,X2,X5,X6,X7] :
( multiply(X7,sk_c8) != sk_c10
| inverse(X7) != sk_c10
| multiply(X6,sk_c9) != sk_c8
| inverse(X5) != X6
| multiply(X5,X6) != sk_c8
| inverse(X2) != sk_c10
| multiply(X2,sk_c10) != X1
| multiply(sk_c10,X1) != sk_c9
| inverse(sk_c10) != sk_c9
| inverse(X4) != sk_c10
| multiply(X4,sk_c10) != X3
| multiply(sk_c10,X3) != sk_c9
| multiply(sk_c10,sk_c8) != sk_c9
| inverse(sk_c9) != sk_c10
| multiply(sk_c9,sk_c8) != sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f59,plain,
! [X0] : multiply(identity,X0) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f60,plain,
! [X0] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f61,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f62,plain,
( inverse(sk_c10) = sk_c9
| multiply(sk_c9,sk_c8) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f63,plain,
( multiply(sk_c10,sk_c4) = sk_c9
| multiply(sk_c9,sk_c8) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f64,plain,
( multiply(sk_c3,sk_c10) = sk_c4
| multiply(sk_c9,sk_c8) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f65,plain,
( inverse(sk_c3) = sk_c10
| multiply(sk_c9,sk_c8) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f66,plain,
( multiply(sk_c5,sk_c6) = sk_c8
| multiply(sk_c9,sk_c8) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f67,plain,
( inverse(sk_c5) = sk_c6
| multiply(sk_c9,sk_c8) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f69,plain,
( inverse(sk_c7) = sk_c10
| multiply(sk_c9,sk_c8) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f71,plain,
( inverse(sk_c10) = sk_c9
| inverse(sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f72,plain,
( multiply(sk_c10,sk_c4) = sk_c9
| inverse(sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f73,plain,
( multiply(sk_c3,sk_c10) = sk_c4
| inverse(sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f74,plain,
( inverse(sk_c3) = sk_c10
| inverse(sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f80,plain,
( inverse(sk_c10) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f81,plain,
( multiply(sk_c10,sk_c4) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f82,plain,
( multiply(sk_c3,sk_c10) = sk_c4
| multiply(sk_c10,sk_c8) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f83,plain,
( inverse(sk_c3) = sk_c10
| multiply(sk_c10,sk_c8) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f89,plain,
( inverse(sk_c10) = sk_c9
| multiply(sk_c10,sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f90,plain,
( multiply(sk_c10,sk_c4) = sk_c9
| multiply(sk_c10,sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f91,plain,
( multiply(sk_c3,sk_c10) = sk_c4
| multiply(sk_c10,sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f92,plain,
( inverse(sk_c3) = sk_c10
| multiply(sk_c10,sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f93,plain,
( multiply(sk_c5,sk_c6) = sk_c8
| multiply(sk_c10,sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f94,plain,
( inverse(sk_c5) = sk_c6
| multiply(sk_c10,sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f96,plain,
( inverse(sk_c7) = sk_c10
| multiply(sk_c10,sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f97,plain,
( multiply(sk_c7,sk_c8) = sk_c10
| multiply(sk_c10,sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f98,plain,
( inverse(sk_c10) = sk_c9
| multiply(sk_c1,sk_c10) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f99,plain,
( multiply(sk_c10,sk_c4) = sk_c9
| multiply(sk_c1,sk_c10) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f100,plain,
( multiply(sk_c3,sk_c10) = sk_c4
| multiply(sk_c1,sk_c10) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f101,plain,
( inverse(sk_c3) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f102,plain,
( multiply(sk_c5,sk_c6) = sk_c8
| multiply(sk_c1,sk_c10) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f103,plain,
( inverse(sk_c5) = sk_c6
| multiply(sk_c1,sk_c10) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f104,plain,
( multiply(sk_c6,sk_c9) = sk_c8
| multiply(sk_c1,sk_c10) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f105,plain,
( inverse(sk_c7) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f106,plain,
( multiply(sk_c7,sk_c8) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f107,plain,
( inverse(sk_c10) = sk_c9
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f108,plain,
( multiply(sk_c10,sk_c4) = sk_c9
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f109,plain,
( multiply(sk_c3,sk_c10) = sk_c4
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f110,plain,
( inverse(sk_c3) = sk_c10
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f111,plain,
( multiply(sk_c5,sk_c6) = sk_c8
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f112,plain,
( inverse(sk_c5) = sk_c6
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f113,plain,
( multiply(sk_c6,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f114,plain,
( inverse(sk_c7) = sk_c10
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f115,plain,
( multiply(sk_c7,sk_c8) = sk_c10
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f116,plain,
! [X7] :
( multiply(X7,sk_c8) != sk_c10
| inverse(X7) != sk_c10
| ! [X6] :
( multiply(X6,sk_c9) != sk_c8
| ! [X5] :
( inverse(X5) != X6
| multiply(X5,X6) != sk_c8
| ! [X2] :
( inverse(X2) != sk_c10
| ! [X1] :
( multiply(X2,sk_c10) != X1
| multiply(sk_c10,X1) != sk_c9
| inverse(sk_c10) != sk_c9
| ! [X4] :
( inverse(X4) != sk_c10
| ! [X3] :
( multiply(X4,sk_c10) != X3
| multiply(sk_c10,X3) != sk_c9
| multiply(sk_c10,sk_c8) != sk_c9
| inverse(sk_c9) != sk_c10
| multiply(sk_c9,sk_c8) != sk_c10 ) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f58]) ).
fof(f117,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( multiply(X6,sk_c8) != sk_c10
| inverse(X6) != sk_c10
| multiply(X5,sk_c9) != sk_c8
| inverse(X4) != X5
| multiply(X4,X5) != sk_c8
| inverse(X3) != sk_c10
| multiply(X3,sk_c10) != X2
| multiply(sk_c10,X2) != sk_c9
| inverse(sk_c10) != sk_c9
| inverse(X1) != sk_c10
| multiply(X1,sk_c10) != X0
| multiply(sk_c10,X0) != sk_c9
| multiply(sk_c10,sk_c8) != sk_c9
| inverse(sk_c9) != sk_c10
| multiply(sk_c9,sk_c8) != sk_c10 ),
inference(cnf_transformation,[status(thm)],[f116]) ).
fof(f118,definition,
( sQ0_spl
<=> multiply(sk_c9,sk_c8) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f119,plain,
( ~ sQ0_spl
| multiply(sk_c9,sk_c8) = sk_c10 ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f120,plain,
( sQ0_spl
| multiply(sk_c9,sk_c8) != sk_c10 ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f121,definition,
( sQ1_spl
<=> inverse(sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f122,plain,
( ~ sQ1_spl
| inverse(sk_c10) = sk_c9 ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f123,plain,
( sQ1_spl
| inverse(sk_c10) != sk_c9 ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f124,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f62,f118,f121]) ).
fof(f125,definition,
( sQ2_spl
<=> multiply(sk_c10,sk_c4) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f126,plain,
( ~ sQ2_spl
| multiply(sk_c10,sk_c4) = sk_c9 ),
inference(component_clause,[status(thm)],[f125]) ).
fof(f128,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f63,f118,f125]) ).
fof(f129,definition,
( sQ3_spl
<=> multiply(sk_c3,sk_c10) = sk_c4 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f130,plain,
( ~ sQ3_spl
| multiply(sk_c3,sk_c10) = sk_c4 ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f132,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f64,f118,f129]) ).
fof(f133,definition,
( sQ4_spl
<=> inverse(sk_c3) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f134,plain,
( ~ sQ4_spl
| inverse(sk_c3) = sk_c10 ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f136,plain,
( sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f65,f118,f133]) ).
fof(f137,definition,
( sQ5_spl
<=> multiply(sk_c5,sk_c6) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f138,plain,
( ~ sQ5_spl
| multiply(sk_c5,sk_c6) = sk_c8 ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f140,plain,
( sQ5_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f66,f118,f137]) ).
fof(f141,definition,
( sQ6_spl
<=> inverse(sk_c5) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f142,plain,
( ~ sQ6_spl
| inverse(sk_c5) = sk_c6 ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f144,plain,
( sQ6_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f67,f118,f141]) ).
fof(f145,definition,
( sQ7_spl
<=> multiply(sk_c6,sk_c9) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f146,plain,
( ~ sQ7_spl
| multiply(sk_c6,sk_c9) = sk_c8 ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f149,definition,
( sQ8_spl
<=> inverse(sk_c7) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f150,plain,
( ~ sQ8_spl
| inverse(sk_c7) = sk_c10 ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f152,plain,
( sQ8_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f69,f118,f149]) ).
fof(f153,definition,
( sQ9_spl
<=> multiply(sk_c7,sk_c8) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f154,plain,
( ~ sQ9_spl
| multiply(sk_c7,sk_c8) = sk_c10 ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f157,definition,
( sQ10_spl
<=> inverse(sk_c9) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f158,plain,
( ~ sQ10_spl
| inverse(sk_c9) = sk_c10 ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f159,plain,
( sQ10_spl
| inverse(sk_c9) != sk_c10 ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f160,plain,
( sQ1_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f71,f157,f121]) ).
fof(f161,plain,
( sQ2_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f72,f157,f125]) ).
fof(f162,plain,
( sQ3_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f73,f157,f129]) ).
fof(f163,plain,
( sQ4_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f74,f157,f133]) ).
fof(f169,definition,
( sQ11_spl
<=> multiply(sk_c10,sk_c8) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f170,plain,
( ~ sQ11_spl
| multiply(sk_c10,sk_c8) = sk_c9 ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f171,plain,
( sQ11_spl
| multiply(sk_c10,sk_c8) != sk_c9 ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f172,plain,
( sQ1_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f80,f169,f121]) ).
fof(f173,plain,
( sQ2_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f81,f169,f125]) ).
fof(f174,plain,
( sQ3_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f82,f169,f129]) ).
fof(f175,plain,
( sQ4_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f83,f169,f133]) ).
fof(f181,definition,
( sQ12_spl
<=> multiply(sk_c10,sk_c2) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f182,plain,
( ~ sQ12_spl
| multiply(sk_c10,sk_c2) = sk_c9 ),
inference(component_clause,[status(thm)],[f181]) ).
fof(f183,plain,
( sQ12_spl
| multiply(sk_c10,sk_c2) != sk_c9 ),
inference(component_clause,[status(thm)],[f181]) ).
fof(f184,plain,
( sQ1_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f89,f181,f121]) ).
fof(f185,plain,
( sQ2_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f90,f181,f125]) ).
fof(f186,plain,
( sQ3_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f91,f181,f129]) ).
fof(f187,plain,
( sQ4_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f92,f181,f133]) ).
fof(f188,plain,
( sQ5_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f93,f181,f137]) ).
fof(f189,plain,
( sQ6_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f94,f181,f141]) ).
fof(f191,plain,
( sQ8_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f96,f181,f149]) ).
fof(f192,plain,
( sQ9_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f97,f181,f153]) ).
fof(f193,definition,
( sQ13_spl
<=> multiply(sk_c1,sk_c10) = sk_c2 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f194,plain,
( ~ sQ13_spl
| multiply(sk_c1,sk_c10) = sk_c2 ),
inference(component_clause,[status(thm)],[f193]) ).
fof(f196,plain,
( sQ1_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f98,f193,f121]) ).
fof(f197,plain,
( sQ2_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f99,f193,f125]) ).
fof(f198,plain,
( sQ3_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f100,f193,f129]) ).
fof(f199,plain,
( sQ4_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f101,f193,f133]) ).
fof(f200,plain,
( sQ5_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f102,f193,f137]) ).
fof(f201,plain,
( sQ6_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f103,f193,f141]) ).
fof(f202,plain,
( sQ7_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f104,f193,f145]) ).
fof(f203,plain,
( sQ8_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f105,f193,f149]) ).
fof(f204,plain,
( sQ9_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f106,f193,f153]) ).
fof(f205,definition,
( sQ14_spl
<=> inverse(sk_c1) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f206,plain,
( ~ sQ14_spl
| inverse(sk_c1) = sk_c10 ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f208,plain,
( sQ1_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f107,f205,f121]) ).
fof(f209,plain,
( sQ2_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f108,f205,f125]) ).
fof(f210,plain,
( sQ3_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f109,f205,f129]) ).
fof(f211,plain,
( sQ4_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f110,f205,f133]) ).
fof(f212,plain,
( sQ5_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f111,f205,f137]) ).
fof(f213,plain,
( sQ6_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f112,f205,f141]) ).
fof(f214,plain,
( sQ7_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f113,f205,f145]) ).
fof(f215,plain,
( sQ8_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f114,f205,f149]) ).
fof(f216,plain,
( sQ9_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f115,f205,f153]) ).
fof(f217,definition,
! [X0,X1] :
( sQ15_spl
<=> ( inverse(X1) != sk_c10
| multiply(X1,sk_c10) != X0
| multiply(sk_c10,X0) != sk_c9 ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f218,plain,
! [X0,X1] :
( ~ sQ15_spl
| inverse(X1) != sk_c10
| multiply(X1,sk_c10) != X0
| multiply(sk_c10,X0) != sk_c9 ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f220,definition,
! [X4,X5] :
( sQ16_spl
<=> ( multiply(X5,sk_c9) != sk_c8
| inverse(X4) != X5
| multiply(X4,X5) != sk_c8 ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f221,plain,
! [X0,X1] :
( ~ sQ16_spl
| multiply(X1,sk_c9) != sk_c8
| inverse(X0) != X1
| multiply(X0,X1) != sk_c8 ),
inference(component_clause,[status(thm)],[f220]) ).
fof(f223,definition,
! [X6] :
( sQ17_spl
<=> ( multiply(X6,sk_c8) != sk_c10
| inverse(X6) != sk_c10 ) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f224,plain,
! [X0] :
( ~ sQ17_spl
| multiply(X0,sk_c8) != sk_c10
| inverse(X0) != sk_c10 ),
inference(component_clause,[status(thm)],[f223]) ).
fof(f226,plain,
( sQ17_spl
| sQ16_spl
| ~ sQ1_spl
| sQ15_spl
| ~ sQ11_spl
| ~ sQ10_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f117,f118,f157,f169,f217,f121,f220,f223]) ).
fof(f238,plain,
( ~ sQ9_spl
| ~ sQ17_spl
| inverse(sk_c7) != sk_c10 ),
inference(resolution,[status(thm)],[f224,f154]) ).
fof(f241,plain,
( ~ sQ11_spl
| ~ sQ17_spl
| sk_c9 != sk_c10
| inverse(sk_c10) != sk_c10 ),
inference(paramodulation,[status(thm)],[f170,f224]) ).
fof(f242,plain,
( ~ sQ9_spl
| ~ sQ17_spl
| ~ sQ8_spl
| sk_c10 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f150,f238]) ).
fof(f243,plain,
( ~ sQ9_spl
| ~ sQ17_spl
| ~ sQ8_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f242]) ).
fof(f244,plain,
( ~ sQ9_spl
| ~ sQ17_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f243]) ).
fof(f245,plain,
! [X0] :
( ~ sQ16_spl
| multiply(inverse(X0),sk_c9) != sk_c8
| multiply(X0,inverse(X0)) != sk_c8 ),
inference(destructive_equality_resolution,[status(thm)],[f221]) ).
fof(f246,plain,
! [X0] :
( ~ sQ15_spl
| inverse(X0) != sk_c10
| multiply(sk_c10,multiply(X0,sk_c10)) != sk_c9 ),
inference(destructive_equality_resolution,[status(thm)],[f218]) ).
fof(f248,plain,
( ~ sQ10_spl
| multiply(sk_c10,sk_c9) = identity ),
inference(paramodulation,[status(thm)],[f158,f60]) ).
fof(f251,plain,
( ~ sQ14_spl
| multiply(sk_c10,sk_c1) = identity ),
inference(paramodulation,[status(thm)],[f206,f60]) ).
fof(f252,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f60,f61]) ).
fof(f253,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f59,f252]) ).
fof(f267,plain,
( ~ sQ0_spl
| sk_c8 = multiply(inverse(sk_c9),sk_c10) ),
inference(paramodulation,[status(thm)],[f119,f253]) ).
fof(f272,plain,
( ~ sQ3_spl
| sk_c10 = multiply(inverse(sk_c3),sk_c4) ),
inference(paramodulation,[status(thm)],[f130,f253]) ).
fof(f273,plain,
( ~ sQ5_spl
| sk_c6 = multiply(inverse(sk_c5),sk_c8) ),
inference(paramodulation,[status(thm)],[f138,f253]) ).
fof(f283,plain,
( ~ sQ13_spl
| sk_c10 = multiply(inverse(sk_c1),sk_c2) ),
inference(paramodulation,[status(thm)],[f194,f253]) ).
fof(f285,plain,
( ~ sQ0_spl
| ~ sQ10_spl
| sk_c8 = multiply(sk_c10,sk_c10) ),
inference(forward_demodulation,[status(thm)],[f158,f267]) ).
fof(f286,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| sk_c10 = multiply(sk_c10,sk_c4) ),
inference(forward_demodulation,[status(thm)],[f134,f272]) ).
fof(f287,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| sk_c10 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f126,f286]) ).
fof(f288,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| sk_c6 = multiply(sk_c6,sk_c8) ),
inference(forward_demodulation,[status(thm)],[f142,f273]) ).
fof(f289,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| sk_c10 = multiply(sk_c10,sk_c2) ),
inference(forward_demodulation,[status(thm)],[f206,f283]) ).
fof(f290,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| sk_c10 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f182,f289]) ).
fof(f295,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c10,sk_c4) = sk_c10 ),
inference(backward_demodulation,[status(thm)],[f287,f126]) ).
fof(f296,plain,
( ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| multiply(sk_c6,sk_c10) = sk_c8 ),
inference(backward_demodulation,[status(thm)],[f287,f146]) ).
fof(f301,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| multiply(inverse(X0),sk_c10) != sk_c8
| multiply(X0,inverse(X0)) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f287,f245]) ).
fof(f302,plain,
( ~ sQ16_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| identity != sk_c8
| multiply(sk_c10,inverse(sk_c10)) != sk_c8 ),
inference(paramodulation,[status(thm)],[f60,f301]) ).
fof(f304,plain,
( ~ sQ4_spl
| ~ sQ16_spl
| ~ sQ3_spl
| ~ sQ2_spl
| multiply(sk_c10,sk_c10) != sk_c8
| multiply(sk_c3,inverse(sk_c3)) != sk_c8 ),
inference(paramodulation,[status(thm)],[f134,f301]) ).
fof(f305,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| multiply(sk_c6,sk_c10) != sk_c8
| multiply(sk_c5,inverse(sk_c5)) != sk_c8 ),
inference(paramodulation,[status(thm)],[f142,f301]) ).
fof(f306,plain,
( ~ sQ14_spl
| ~ sQ16_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| multiply(sk_c10,sk_c10) != sk_c8
| multiply(sk_c1,inverse(sk_c1)) != sk_c8 ),
inference(paramodulation,[status(thm)],[f206,f301]) ).
fof(f307,definition,
( sQ18_spl
<=> multiply(sk_c10,inverse(sk_c10)) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f310,definition,
( sQ19_spl
<=> identity = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f312,plain,
( sQ19_spl
| identity != sk_c8 ),
inference(component_clause,[status(thm)],[f310]) ).
fof(f313,plain,
( ~ sQ16_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ19_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f302,f307,f310,f125,f133,f129,f220]) ).
fof(f314,definition,
( sQ20_spl
<=> multiply(sk_c10,sk_c10) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f316,plain,
( sQ20_spl
| multiply(sk_c10,sk_c10) != sk_c8 ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f318,definition,
( sQ21_spl
<=> multiply(sk_c3,inverse(sk_c3)) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f321,plain,
( ~ sQ4_spl
| ~ sQ16_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ20_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f304,f318,f314,f125,f129,f220,f133]) ).
fof(f322,definition,
( sQ22_spl
<=> multiply(sk_c5,inverse(sk_c5)) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f324,plain,
( sQ22_spl
| multiply(sk_c5,inverse(sk_c5)) != sk_c8 ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f325,definition,
( sQ23_spl
<=> multiply(sk_c6,sk_c10) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f327,plain,
( sQ23_spl
| multiply(sk_c6,sk_c10) != sk_c8 ),
inference(component_clause,[status(thm)],[f325]) ).
fof(f328,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ23_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f305,f322,f325,f125,f133,f129,f220,f141]) ).
fof(f329,definition,
( sQ24_spl
<=> multiply(sk_c1,inverse(sk_c1)) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f331,plain,
( sQ24_spl
| multiply(sk_c1,inverse(sk_c1)) != sk_c8 ),
inference(component_clause,[status(thm)],[f329]) ).
fof(f332,plain,
( ~ sQ14_spl
| ~ sQ16_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ20_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f306,f329,f314,f125,f133,f129,f220,f205]) ).
fof(f333,plain,
( sQ24_spl
| ~ sQ14_spl
| multiply(sk_c1,sk_c10) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f206,f331]) ).
fof(f334,plain,
( sQ24_spl
| ~ sQ14_spl
| ~ sQ13_spl
| sk_c2 != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f194,f333]) ).
fof(f335,plain,
( sQ22_spl
| ~ sQ6_spl
| multiply(sk_c5,sk_c6) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f142,f324]) ).
fof(f336,plain,
( sQ22_spl
| ~ sQ6_spl
| ~ sQ5_spl
| sk_c8 != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f138,f335]) ).
fof(f337,plain,
( sQ22_spl
| ~ sQ6_spl
| ~ sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f336]) ).
fof(f338,plain,
( sQ22_spl
| ~ sQ6_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f337]) ).
fof(f339,plain,
( ~ sQ15_spl
| inverse(inverse(sk_c10)) != sk_c10
| multiply(sk_c10,identity) != sk_c9 ),
inference(paramodulation,[status(thm)],[f60,f246]) ).
fof(f342,plain,
( ~ sQ13_spl
| ~ sQ15_spl
| inverse(sk_c1) != sk_c10
| multiply(sk_c10,sk_c2) != sk_c9 ),
inference(paramodulation,[status(thm)],[f194,f246]) ).
fof(f343,definition,
( sQ25_spl
<=> multiply(sk_c10,identity) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f345,plain,
( sQ25_spl
| multiply(sk_c10,identity) != sk_c9 ),
inference(component_clause,[status(thm)],[f343]) ).
fof(f346,definition,
( sQ26_spl
<=> inverse(inverse(sk_c10)) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f348,plain,
( sQ26_spl
| inverse(inverse(sk_c10)) != sk_c10 ),
inference(component_clause,[status(thm)],[f346]) ).
fof(f349,plain,
( ~ sQ15_spl
| ~ sQ26_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f339,f343,f346,f217]) ).
fof(f357,plain,
( ~ sQ13_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f342,f181,f205,f217,f193]) ).
fof(f361,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| multiply(sk_c10,sk_c8) = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f287,f170]) ).
fof(f362,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| sk_c8 = multiply(inverse(sk_c10),sk_c10) ),
inference(paramodulation,[status(thm)],[f361,f253]) ).
fof(f364,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| sk_c8 = identity ),
inference(forward_demodulation,[status(thm)],[f60,f362]) ).
fof(f365,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f364,f312]) ).
fof(f366,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f365]) ).
fof(f367,plain,
( sQ11_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| multiply(sk_c10,sk_c8) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f287,f171]) ).
fof(f368,plain,
( ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| inverse(sk_c10) = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f287,f122]) ).
fof(f370,plain,
( ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| multiply(sk_c10,sk_c10) = identity ),
inference(paramodulation,[status(thm)],[f368,f60]) ).
fof(f372,plain,
( ~ sQ8_spl
| multiply(sk_c10,sk_c7) = identity ),
inference(paramodulation,[status(thm)],[f150,f60]) ).
fof(f387,plain,
( sQ12_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| multiply(sk_c10,sk_c2) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f287,f183]) ).
fof(f388,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c4 = multiply(inverse(sk_c10),sk_c10) ),
inference(paramodulation,[status(thm)],[f295,f253]) ).
fof(f390,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c4 = identity ),
inference(forward_demodulation,[status(thm)],[f60,f388]) ).
fof(f394,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(inverse(X0),X0) = sk_c4 ),
inference(backward_demodulation,[status(thm)],[f390,f60]) ).
fof(f398,plain,
( sQ26_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| inverse(sk_c10) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f368,f348]) ).
fof(f399,plain,
( sQ26_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| sk_c10 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f368,f398]) ).
fof(f400,plain,
( sQ26_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f399]) ).
fof(f401,plain,
( sQ26_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f400]) ).
fof(f403,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| sQ12_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f289,f387]) ).
fof(f404,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| sQ12_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f403]) ).
fof(f414,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| multiply(inverse(X0),sk_c10) != sk_c8
| multiply(X0,inverse(X0)) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f290,f245]) ).
fof(f417,plain,
( ~ sQ14_spl
| ~ sQ16_spl
| ~ sQ13_spl
| ~ sQ12_spl
| multiply(sk_c10,sk_c10) != sk_c8
| multiply(sk_c1,inverse(sk_c1)) != sk_c8 ),
inference(paramodulation,[status(thm)],[f206,f414]) ).
fof(f423,plain,
( ~ sQ14_spl
| ~ sQ16_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ20_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f417,f329,f314,f181,f193,f220,f205]) ).
fof(f428,plain,
( ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f296,f327]) ).
fof(f429,plain,
( ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f428]) ).
fof(f430,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| inverse(sk_c10) = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f290,f122]) ).
fof(f433,plain,
( ~ sQ11_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| multiply(sk_c10,sk_c8) = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f290,f170]) ).
fof(f434,plain,
( ~ sQ11_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| sk_c8 = multiply(inverse(sk_c10),sk_c10) ),
inference(paramodulation,[status(thm)],[f433,f253]) ).
fof(f436,plain,
( ~ sQ11_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| ~ sQ1_spl
| sk_c8 = multiply(sk_c10,sk_c10) ),
inference(forward_demodulation,[status(thm)],[f430,f434]) ).
fof(f437,plain,
( ~ sQ11_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| ~ sQ1_spl
| sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f436,f316]) ).
fof(f438,plain,
( ~ sQ11_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| ~ sQ1_spl
| sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f437]) ).
fof(f439,definition,
( sQ30_spl
<=> inverse(sk_c10) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f441,plain,
( sQ30_spl
| inverse(sk_c10) != sk_c10 ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f442,definition,
( sQ31_spl
<=> sk_c9 = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f444,plain,
( sQ31_spl
| sk_c9 != sk_c10 ),
inference(component_clause,[status(thm)],[f442]) ).
fof(f445,plain,
( ~ sQ11_spl
| ~ sQ17_spl
| ~ sQ31_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f241,f439,f442,f223,f169]) ).
fof(f446,plain,
( sQ30_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| sk_c10 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f430,f441]) ).
fof(f447,plain,
( sQ30_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f446]) ).
fof(f448,plain,
( sQ30_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f447]) ).
fof(f449,plain,
( sQ31_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| sk_c10 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f290,f444]) ).
fof(f450,plain,
( sQ31_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f449]) ).
fof(f451,plain,
( sQ31_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f450]) ).
fof(f457,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| multiply(sk_c10,sk_c10) = identity ),
inference(forward_demodulation,[status(thm)],[f290,f248]) ).
fof(f460,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| ~ sQ0_spl
| sk_c8 = identity ),
inference(forward_demodulation,[status(thm)],[f285,f457]) ).
fof(f468,plain,
( ~ sQ14_spl
| ~ sQ10_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ0_spl
| multiply(sk_c10,sk_c1) = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f460,f251]) ).
fof(f469,plain,
( ~ sQ14_spl
| ~ sQ10_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ0_spl
| sk_c1 = multiply(inverse(sk_c10),sk_c8) ),
inference(paramodulation,[status(thm)],[f468,f253]) ).
fof(f471,plain,
( ~ sQ14_spl
| ~ sQ10_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ1_spl
| sk_c1 = multiply(sk_c10,sk_c8) ),
inference(forward_demodulation,[status(thm)],[f430,f469]) ).
fof(f472,plain,
( ~ sQ14_spl
| ~ sQ10_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ11_spl
| sk_c1 = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f433,f471]) ).
fof(f481,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ11_spl
| sk_c1 = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f472,f290]) ).
fof(f486,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| ~ sQ0_spl
| multiply(inverse(X0),X0) = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f460,f60]) ).
fof(f492,plain,
( ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ10_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ11_spl
| multiply(sk_c1,sk_c2) = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f472,f182]) ).
fof(f493,plain,
( ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ10_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ11_spl
| multiply(sk_c1,sk_c2) = sk_c1 ),
inference(forward_demodulation,[status(thm)],[f481,f492]) ).
fof(f494,plain,
( ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ10_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ11_spl
| sk_c2 = multiply(inverse(sk_c1),sk_c1) ),
inference(paramodulation,[status(thm)],[f493,f253]) ).
fof(f496,plain,
( ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ10_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ11_spl
| sk_c2 = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f486,f494]) ).
fof(f497,plain,
( ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ10_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ11_spl
| sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f496,f334]) ).
fof(f498,plain,
( ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ10_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ11_spl
| sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f497]) ).
fof(f501,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c10,sk_c4) = sk_c10 ),
inference(backward_demodulation,[status(thm)],[f287,f126]) ).
fof(f529,plain,
( sQ25_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c10,sk_c4) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f390,f345]) ).
fof(f530,plain,
( sQ25_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c10,sk_c4) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f287,f529]) ).
fof(f546,plain,
( ~ sQ8_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c10,sk_c7) = sk_c4 ),
inference(forward_demodulation,[status(thm)],[f390,f372]) ).
fof(f551,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f295,f530]) ).
fof(f552,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f551]) ).
fof(f564,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| inverse(sk_c10) = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f290,f158]) ).
fof(f569,plain,
( sQ1_spl
| ~ sQ10_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| sk_c10 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f564,f123]) ).
fof(f570,plain,
( sQ1_spl
| ~ sQ10_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| sk_c10 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f290,f569]) ).
fof(f571,plain,
( sQ1_spl
| ~ sQ10_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f570]) ).
fof(f572,plain,
( sQ1_spl
| ~ sQ10_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f571]) ).
fof(f590,plain,
( ~ sQ0_spl
| ~ sQ10_spl
| sk_c10 = multiply(inverse(sk_c10),sk_c8) ),
inference(paramodulation,[status(thm)],[f285,f253]) ).
fof(f592,plain,
( ~ sQ0_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| sk_c10 = multiply(sk_c10,sk_c8) ),
inference(forward_demodulation,[status(thm)],[f368,f590]) ).
fof(f593,plain,
( ~ sQ0_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f592,f367]) ).
fof(f594,plain,
( ~ sQ0_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f593]) ).
fof(f595,plain,
( sQ10_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| inverse(sk_c10) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f287,f159]) ).
fof(f596,plain,
( sQ10_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sk_c10 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f368,f595]) ).
fof(f597,plain,
( sQ10_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f596]) ).
fof(f598,plain,
( sQ10_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f597]) ).
fof(f599,plain,
( sQ0_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| multiply(sk_c10,sk_c8) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f287,f120]) ).
fof(f618,plain,
( sQ20_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| sk_c4 != sk_c8 ),
inference(backward_demodulation,[status(thm)],[f619,f316]) ).
fof(f619,plain,
( ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| multiply(sk_c10,sk_c10) = sk_c4 ),
inference(forward_demodulation,[status(thm)],[f390,f370]) ).
fof(f637,plain,
( ~ sQ8_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c7 = multiply(inverse(sk_c10),sk_c4) ),
inference(paramodulation,[status(thm)],[f546,f253]) ).
fof(f639,plain,
( ~ sQ8_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| sk_c7 = multiply(sk_c10,sk_c4) ),
inference(forward_demodulation,[status(thm)],[f368,f637]) ).
fof(f640,plain,
( ~ sQ8_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| sk_c7 = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f501,f639]) ).
fof(f659,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ8_spl
| ~ sQ1_spl
| multiply(sk_c7,sk_c4) = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f640,f295]) ).
fof(f660,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ8_spl
| ~ sQ1_spl
| multiply(sk_c7,sk_c4) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f640,f659]) ).
fof(f700,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| sk_c8 = multiply(inverse(sk_c6),sk_c6) ),
inference(paramodulation,[status(thm)],[f288,f253]) ).
fof(f702,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c8 = sk_c4 ),
inference(forward_demodulation,[status(thm)],[f394,f700]) ).
fof(f703,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sQ20_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f702,f618]) ).
fof(f704,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sQ20_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f703]) ).
fof(f715,plain,
( sQ0_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ1_spl
| multiply(sk_c7,sk_c8) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f640,f599]) ).
fof(f716,plain,
( sQ0_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ6_spl
| multiply(sk_c7,sk_c4) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f702,f715]) ).
fof(f717,plain,
( sQ0_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c7 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f660,f716]) ).
fof(f718,plain,
( sQ0_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c7 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f640,f717]) ).
fof(f719,plain,
( sQ0_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f718]) ).
fof(f720,plain,
( sQ0_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f719]) ).
fof(f721,plain,
$false,
inference(sat_refutation,[status(thm)],[f124,f128,f132,f136,f140,f144,f152,f160,f161,f162,f163,f172,f173,f174,f175,f184,f185,f186,f187,f188,f189,f191,f192,f196,f197,f198,f199,f200,f201,f202,f203,f204,f208,f209,f210,f211,f212,f213,f214,f215,f216,f226,f244,f313,f321,f328,f332,f338,f349,f357,f366,f401,f404,f423,f429,f438,f445,f448,f451,f498,f552,f572,f594,f598,f704,f720]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP362-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n008.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:11:09 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.37 % 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: 0.055990 seconds
% 0.13/0.41 % CPU time: 0.163670 seconds
% 0.13/0.41 % Total memory used: 63.429 MB
% 0.13/0.41 % Net memory used: 63.331 MB
%------------------------------------------------------------------------------