%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP377-1 : 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 12:33:33 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.45s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 74
% Syntax : Number of formulae : 386 ( 13 unt; 33 def)
% Number of atoms : 1642 ( 455 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 2388 (1132 ~;1223 |; 0 &)
% ( 33 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 35 ( 33 usr; 34 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 82 ( 82 !; 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,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( inverse(sk_c3) = sk_c9
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c10
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c10
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( inverse(sk_c6) = sk_c5
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( inverse(sk_c5) = sk_c7
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( inverse(sk_c3) = sk_c9
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( inverse(sk_c6) = sk_c5
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( inverse(sk_c5) = sk_c7
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( inverse(sk_c3) = sk_c9
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( inverse(sk_c6) = sk_c5
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
( inverse(sk_c5) = sk_c7
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| multiply(sk_c8,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c8,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| multiply(sk_c8,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
( inverse(sk_c3) = sk_c9
| multiply(sk_c8,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c10
| multiply(sk_c8,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c8,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c10
| multiply(sk_c8,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
( inverse(sk_c6) = sk_c5
| multiply(sk_c8,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
( inverse(sk_c5) = sk_c7
| multiply(sk_c8,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c8,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
! [X2,X1,X3,X4,X5,X6,X7] :
( multiply(X6,X5) != X7
| inverse(X7) != X5
| inverse(X6) != X7
| multiply(X5,sk_c9) != sk_c10
| inverse(X4) != X5
| multiply(X4,X5) != sk_c10
| inverse(X3) != sk_c9
| multiply(X3,sk_c9) != sk_c8
| inverse(X1) != sk_c10
| multiply(X1,sk_c10) != sk_c9
| multiply(sk_c8,sk_c9) != sk_c10
| inverse(X2) != sk_c10
| multiply(X2,sk_c10) != sk_c9
| inverse(sk_c10) != sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,plain,
! [X0] : multiply(identity,X0) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f46,plain,
! [X0] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f47,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f48,plain,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f49,plain,
( inverse(sk_c2) = sk_c10
| inverse(sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f50,plain,
( multiply(sk_c3,sk_c9) = sk_c8
| inverse(sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f51,plain,
( inverse(sk_c3) = sk_c9
| inverse(sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f52,plain,
( multiply(sk_c4,sk_c7) = sk_c10
| inverse(sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f53,plain,
( inverse(sk_c4) = sk_c7
| inverse(sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f54,plain,
( multiply(sk_c7,sk_c9) = sk_c10
| inverse(sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f55,plain,
( inverse(sk_c6) = sk_c5
| inverse(sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f56,plain,
( inverse(sk_c5) = sk_c7
| inverse(sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f58,plain,
( multiply(sk_c2,sk_c10) = sk_c9
| multiply(sk_c1,sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f59,plain,
( inverse(sk_c2) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f60,plain,
( multiply(sk_c3,sk_c9) = sk_c8
| multiply(sk_c1,sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f61,plain,
( inverse(sk_c3) = sk_c9
| multiply(sk_c1,sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f62,plain,
( multiply(sk_c4,sk_c7) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f63,plain,
( inverse(sk_c4) = sk_c7
| multiply(sk_c1,sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f64,plain,
( multiply(sk_c7,sk_c9) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f65,plain,
( inverse(sk_c6) = sk_c5
| multiply(sk_c1,sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f66,plain,
( inverse(sk_c5) = sk_c7
| multiply(sk_c1,sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f68,plain,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f69,plain,
( inverse(sk_c2) = sk_c10
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f70,plain,
( multiply(sk_c3,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f71,plain,
( inverse(sk_c3) = sk_c9
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f72,plain,
( multiply(sk_c4,sk_c7) = sk_c10
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f73,plain,
( inverse(sk_c4) = sk_c7
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f74,plain,
( multiply(sk_c7,sk_c9) = sk_c10
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f75,plain,
( inverse(sk_c6) = sk_c5
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f76,plain,
( inverse(sk_c5) = sk_c7
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f78,plain,
( multiply(sk_c2,sk_c10) = sk_c9
| multiply(sk_c8,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f79,plain,
( inverse(sk_c2) = sk_c10
| multiply(sk_c8,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f80,plain,
( multiply(sk_c3,sk_c9) = sk_c8
| multiply(sk_c8,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f81,plain,
( inverse(sk_c3) = sk_c9
| multiply(sk_c8,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f82,plain,
( multiply(sk_c4,sk_c7) = sk_c10
| multiply(sk_c8,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f83,plain,
( inverse(sk_c4) = sk_c7
| multiply(sk_c8,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f84,plain,
( multiply(sk_c7,sk_c9) = sk_c10
| multiply(sk_c8,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f85,plain,
( inverse(sk_c6) = sk_c5
| multiply(sk_c8,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f86,plain,
( inverse(sk_c5) = sk_c7
| multiply(sk_c8,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f87,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c8,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f88,plain,
! [X5,X6,X7] :
( multiply(X6,X5) != X7
| inverse(X7) != X5
| inverse(X6) != X7
| multiply(X5,sk_c9) != sk_c10
| ! [X4] :
( inverse(X4) != X5
| multiply(X4,X5) != sk_c10
| ! [X3] :
( inverse(X3) != sk_c9
| multiply(X3,sk_c9) != sk_c8
| ! [X1] :
( inverse(X1) != sk_c10
| multiply(X1,sk_c10) != sk_c9
| multiply(sk_c8,sk_c9) != sk_c10
| ! [X2] :
( inverse(X2) != sk_c10
| multiply(X2,sk_c10) != sk_c9
| inverse(sk_c10) != sk_c9 ) ) ) ) ),
inference(miniscoping,[status(thm)],[f44]) ).
fof(f89,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( multiply(X5,X4) != X6
| inverse(X6) != X4
| inverse(X5) != X6
| multiply(X4,sk_c9) != sk_c10
| inverse(X3) != X4
| multiply(X3,X4) != sk_c10
| inverse(X2) != sk_c9
| multiply(X2,sk_c9) != sk_c8
| inverse(X1) != sk_c10
| multiply(X1,sk_c10) != sk_c9
| multiply(sk_c8,sk_c9) != sk_c10
| inverse(X0) != sk_c10
| multiply(X0,sk_c10) != sk_c9
| inverse(sk_c10) != sk_c9 ),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f90,definition,
( sQ0_spl
<=> inverse(sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f91,plain,
( ~ sQ0_spl
| inverse(sk_c10) = sk_c9 ),
inference(component_clause,[status(thm)],[f90]) ).
fof(f92,plain,
( sQ0_spl
| inverse(sk_c10) != sk_c9 ),
inference(component_clause,[status(thm)],[f90]) ).
fof(f93,definition,
( sQ1_spl
<=> multiply(sk_c2,sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f94,plain,
( ~ sQ1_spl
| multiply(sk_c2,sk_c10) = sk_c9 ),
inference(component_clause,[status(thm)],[f93]) ).
fof(f96,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f48,f90,f93]) ).
fof(f97,definition,
( sQ2_spl
<=> inverse(sk_c2) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f98,plain,
( ~ sQ2_spl
| inverse(sk_c2) = sk_c10 ),
inference(component_clause,[status(thm)],[f97]) ).
fof(f100,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f49,f90,f97]) ).
fof(f101,definition,
( sQ3_spl
<=> multiply(sk_c3,sk_c9) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f102,plain,
( ~ sQ3_spl
| multiply(sk_c3,sk_c9) = sk_c8 ),
inference(component_clause,[status(thm)],[f101]) ).
fof(f104,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f50,f90,f101]) ).
fof(f105,definition,
( sQ4_spl
<=> inverse(sk_c3) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f106,plain,
( ~ sQ4_spl
| inverse(sk_c3) = sk_c9 ),
inference(component_clause,[status(thm)],[f105]) ).
fof(f108,plain,
( sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f51,f90,f105]) ).
fof(f109,definition,
( sQ5_spl
<=> multiply(sk_c4,sk_c7) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f110,plain,
( ~ sQ5_spl
| multiply(sk_c4,sk_c7) = sk_c10 ),
inference(component_clause,[status(thm)],[f109]) ).
fof(f112,plain,
( sQ5_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f52,f90,f109]) ).
fof(f113,definition,
( sQ6_spl
<=> inverse(sk_c4) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f114,plain,
( ~ sQ6_spl
| inverse(sk_c4) = sk_c7 ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f116,plain,
( sQ6_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f53,f90,f113]) ).
fof(f117,definition,
( sQ7_spl
<=> multiply(sk_c7,sk_c9) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f118,plain,
( ~ sQ7_spl
| multiply(sk_c7,sk_c9) = sk_c10 ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f120,plain,
( sQ7_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f54,f90,f117]) ).
fof(f121,definition,
( sQ8_spl
<=> inverse(sk_c6) = sk_c5 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f122,plain,
( ~ sQ8_spl
| inverse(sk_c6) = sk_c5 ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f124,plain,
( sQ8_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f55,f90,f121]) ).
fof(f125,definition,
( sQ9_spl
<=> inverse(sk_c5) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f126,plain,
( ~ sQ9_spl
| inverse(sk_c5) = sk_c7 ),
inference(component_clause,[status(thm)],[f125]) ).
fof(f128,plain,
( sQ9_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f56,f90,f125]) ).
fof(f129,definition,
( sQ10_spl
<=> multiply(sk_c6,sk_c7) = sk_c5 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f130,plain,
( ~ sQ10_spl
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f133,definition,
( sQ11_spl
<=> multiply(sk_c1,sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f134,plain,
( ~ sQ11_spl
| multiply(sk_c1,sk_c10) = sk_c9 ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f136,plain,
( sQ1_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f58,f133,f93]) ).
fof(f137,plain,
( sQ2_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f59,f133,f97]) ).
fof(f138,plain,
( sQ3_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f60,f133,f101]) ).
fof(f139,plain,
( sQ4_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f61,f133,f105]) ).
fof(f140,plain,
( sQ5_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f62,f133,f109]) ).
fof(f141,plain,
( sQ6_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f63,f133,f113]) ).
fof(f142,plain,
( sQ7_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f64,f133,f117]) ).
fof(f143,plain,
( sQ8_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f65,f133,f121]) ).
fof(f144,plain,
( sQ9_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f66,f133,f125]) ).
fof(f146,definition,
( sQ12_spl
<=> inverse(sk_c1) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f147,plain,
( ~ sQ12_spl
| inverse(sk_c1) = sk_c10 ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f149,plain,
( sQ1_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f68,f146,f93]) ).
fof(f150,plain,
( sQ2_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f69,f146,f97]) ).
fof(f151,plain,
( sQ3_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f70,f146,f101]) ).
fof(f152,plain,
( sQ4_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f71,f146,f105]) ).
fof(f153,plain,
( sQ5_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f72,f146,f109]) ).
fof(f154,plain,
( sQ6_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f73,f146,f113]) ).
fof(f155,plain,
( sQ7_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f74,f146,f117]) ).
fof(f156,plain,
( sQ8_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f75,f146,f121]) ).
fof(f157,plain,
( sQ9_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f76,f146,f125]) ).
fof(f159,definition,
( sQ13_spl
<=> multiply(sk_c8,sk_c9) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f160,plain,
( ~ sQ13_spl
| multiply(sk_c8,sk_c9) = sk_c10 ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f161,plain,
( sQ13_spl
| multiply(sk_c8,sk_c9) != sk_c10 ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f162,plain,
( sQ1_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f78,f159,f93]) ).
fof(f163,plain,
( sQ2_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f79,f159,f97]) ).
fof(f164,plain,
( sQ3_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f80,f159,f101]) ).
fof(f165,plain,
( sQ4_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f81,f159,f105]) ).
fof(f166,plain,
( sQ5_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f82,f159,f109]) ).
fof(f167,plain,
( sQ6_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f83,f159,f113]) ).
fof(f168,plain,
( sQ7_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f84,f159,f117]) ).
fof(f169,plain,
( sQ8_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f85,f159,f121]) ).
fof(f170,plain,
( sQ9_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f86,f159,f125]) ).
fof(f171,plain,
( sQ10_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f87,f159,f129]) ).
fof(f172,definition,
! [X0] :
( sQ14_spl
<=> ( inverse(X0) != sk_c10
| multiply(X0,sk_c10) != sk_c9 ) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f173,plain,
! [X0] :
( ~ sQ14_spl
| inverse(X0) != sk_c10
| multiply(X0,sk_c10) != sk_c9 ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f175,definition,
! [X2] :
( sQ15_spl
<=> ( inverse(X2) != sk_c9
| multiply(X2,sk_c9) != sk_c8 ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f176,plain,
! [X0] :
( ~ sQ15_spl
| inverse(X0) != sk_c9
| multiply(X0,sk_c9) != sk_c8 ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f178,definition,
! [X3,X4,X5,X6] :
( sQ16_spl
<=> ( multiply(X5,X4) != X6
| inverse(X6) != X4
| inverse(X5) != X6
| multiply(X4,sk_c9) != sk_c10
| inverse(X3) != X4
| multiply(X3,X4) != sk_c10 ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f179,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| multiply(X2,X1) != X3
| inverse(X3) != X1
| inverse(X2) != X3
| multiply(X1,sk_c9) != sk_c10
| inverse(X0) != X1
| multiply(X0,X1) != sk_c10 ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f181,plain,
( sQ16_spl
| sQ15_spl
| ~ sQ13_spl
| sQ14_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f89,f90,f172,f159,f175,f178]) ).
fof(f182,plain,
! [X0,X1] :
( ~ sQ16_spl
| multiply(X1,inverse(X0)) != inverse(X1)
| inverse(inverse(X1)) != inverse(X0)
| multiply(inverse(X0),sk_c9) != sk_c10
| multiply(X0,inverse(X0)) != sk_c10 ),
inference(destructive_equality_resolution,[status(thm)],[f179]) ).
fof(f186,plain,
! [X0] :
( ~ sQ5_spl
| multiply(sk_c10,X0) = multiply(sk_c4,multiply(sk_c7,X0)) ),
inference(paramodulation,[status(thm)],[f110,f47]) ).
fof(f195,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ16_spl
| multiply(X0,inverse(sk_c4)) != inverse(X0)
| inverse(inverse(X0)) != inverse(sk_c4)
| multiply(sk_c7,sk_c9) != sk_c10
| multiply(sk_c4,inverse(sk_c4)) != sk_c10 ),
inference(paramodulation,[status(thm)],[f114,f182]) ).
fof(f198,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ16_spl
| multiply(X0,inverse(sk_c1)) != inverse(X0)
| inverse(inverse(X0)) != inverse(sk_c1)
| multiply(sk_c10,sk_c9) != sk_c10
| multiply(sk_c1,inverse(sk_c1)) != sk_c10 ),
inference(paramodulation,[status(thm)],[f147,f182]) ).
fof(f212,definition,
( sQ21_spl
<=> multiply(sk_c10,sk_c9) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f214,plain,
( sQ21_spl
| multiply(sk_c10,sk_c9) != sk_c10 ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f226,definition,
( sQ25_spl
<=> multiply(sk_c4,inverse(sk_c4)) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f228,plain,
( sQ25_spl
| multiply(sk_c4,inverse(sk_c4)) != sk_c10 ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f229,definition,
! [X0] :
( sQ26_spl
<=> ( multiply(X0,inverse(sk_c4)) != inverse(X0)
| inverse(inverse(X0)) != inverse(sk_c4) ) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f230,plain,
! [X0] :
( ~ sQ26_spl
| multiply(X0,inverse(sk_c4)) != inverse(X0)
| inverse(inverse(X0)) != inverse(sk_c4) ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f232,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| sQ26_spl
| ~ sQ7_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f195,f226,f117,f229,f178,f113]) ).
fof(f250,definition,
( sQ32_spl
<=> multiply(sk_c1,inverse(sk_c1)) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f252,plain,
( sQ32_spl
| multiply(sk_c1,inverse(sk_c1)) != sk_c10 ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f253,definition,
! [X0] :
( sQ33_spl
<=> ( multiply(X0,inverse(sk_c1)) != inverse(X0)
| inverse(inverse(X0)) != inverse(sk_c1) ) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f254,plain,
! [X0] :
( ~ sQ33_spl
| multiply(X0,inverse(sk_c1)) != inverse(X0)
| inverse(inverse(X0)) != inverse(sk_c1) ),
inference(component_clause,[status(thm)],[f253]) ).
fof(f256,plain,
( ~ sQ12_spl
| ~ sQ16_spl
| sQ33_spl
| ~ sQ21_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f198,f250,f212,f253,f178,f146]) ).
fof(f257,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ12_spl
| multiply(X0,inverse(sk_c1)) != inverse(X0)
| inverse(inverse(X0)) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f147,f254]) ).
fof(f258,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ12_spl
| multiply(X0,sk_c10) != inverse(X0)
| inverse(inverse(X0)) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f147,f257]) ).
fof(f259,plain,
( sQ32_spl
| ~ sQ12_spl
| multiply(sk_c1,sk_c10) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f147,f252]) ).
fof(f260,plain,
( sQ32_spl
| ~ sQ12_spl
| ~ sQ11_spl
| sk_c9 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f134,f259]) ).
fof(f266,plain,
( ~ sQ12_spl
| multiply(sk_c10,sk_c1) = identity ),
inference(paramodulation,[status(thm)],[f147,f46]) ).
fof(f267,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f46,f47]) ).
fof(f268,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f45,f267]) ).
fof(f272,plain,
! [X0] :
( ~ sQ12_spl
| multiply(identity,X0) = multiply(sk_c10,multiply(sk_c1,X0)) ),
inference(paramodulation,[status(thm)],[f266,f47]) ).
fof(f273,plain,
! [X0] :
( ~ sQ12_spl
| X0 = multiply(sk_c10,multiply(sk_c1,X0)) ),
inference(forward_demodulation,[status(thm)],[f45,f272]) ).
fof(f275,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| sk_c9 != sk_c9
| multiply(sk_c10,sk_c9) != sk_c8 ),
inference(paramodulation,[status(thm)],[f91,f176]) ).
fof(f277,definition,
( sQ34_spl
<=> multiply(sk_c10,sk_c9) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f280,definition,
( sQ35_spl
<=> sk_c9 = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f282,plain,
( sQ35_spl
| sk_c9 != sk_c9 ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f283,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| ~ sQ35_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f275,f277,f280,f175,f90]) ).
fof(f287,definition,
( sQ37_spl
<=> sk_c10 = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f289,plain,
( sQ37_spl
| sk_c10 != sk_c9 ),
inference(component_clause,[status(thm)],[f287]) ).
fof(f291,plain,
( sQ35_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f282]) ).
fof(f292,plain,
sQ35_spl,
inference(contradiction_clause,[status(thm)],[f291]) ).
fof(f293,plain,
( ~ sQ12_spl
| ~ sQ14_spl
| multiply(sk_c1,sk_c10) != sk_c9 ),
inference(resolution,[status(thm)],[f173,f147]) ).
fof(f294,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| sk_c9 != sk_c10
| multiply(sk_c10,sk_c10) != sk_c9 ),
inference(paramodulation,[status(thm)],[f91,f173]) ).
fof(f296,plain,
( ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ11_spl
| sk_c9 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f134,f293]) ).
fof(f297,plain,
( ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f296]) ).
fof(f298,plain,
( ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f297]) ).
fof(f303,plain,
( ~ sQ8_spl
| multiply(sk_c5,sk_c6) = identity ),
inference(paramodulation,[status(thm)],[f122,f46]) ).
fof(f311,plain,
( ~ sQ3_spl
| ~ sQ15_spl
| inverse(sk_c3) != sk_c9 ),
inference(resolution,[status(thm)],[f176,f102]) ).
fof(f318,plain,
( ~ sQ3_spl
| ~ sQ15_spl
| ~ sQ4_spl
| sk_c9 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f106,f311]) ).
fof(f319,plain,
( ~ sQ3_spl
| ~ sQ15_spl
| ~ sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f318]) ).
fof(f320,plain,
( ~ sQ3_spl
| ~ sQ15_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f319]) ).
fof(f352,plain,
( sQ25_spl
| ~ sQ6_spl
| multiply(sk_c4,sk_c7) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f114,f228]) ).
fof(f353,plain,
( sQ25_spl
| ~ sQ6_spl
| ~ sQ5_spl
| sk_c10 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f110,f352]) ).
fof(f354,plain,
( sQ25_spl
| ~ sQ6_spl
| ~ sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f353]) ).
fof(f355,plain,
( sQ25_spl
| ~ sQ6_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f354]) ).
fof(f363,plain,
( ~ sQ8_spl
| sk_c6 = multiply(inverse(sk_c5),identity) ),
inference(paramodulation,[status(thm)],[f303,f268]) ).
fof(f373,plain,
! [X0] : X0 = multiply(inverse(identity),X0),
inference(paramodulation,[status(thm)],[f45,f268]) ).
fof(f375,plain,
( ~ sQ1_spl
| sk_c10 = multiply(inverse(sk_c2),sk_c9) ),
inference(paramodulation,[status(thm)],[f94,f268]) ).
fof(f376,plain,
( ~ sQ3_spl
| sk_c9 = multiply(inverse(sk_c3),sk_c8) ),
inference(paramodulation,[status(thm)],[f102,f268]) ).
fof(f377,plain,
( ~ sQ5_spl
| sk_c7 = multiply(inverse(sk_c4),sk_c10) ),
inference(paramodulation,[status(thm)],[f110,f268]) ).
fof(f380,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| sk_c6 = multiply(sk_c7,identity) ),
inference(forward_demodulation,[status(thm)],[f126,f363]) ).
fof(f381,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| sk_c10 = multiply(sk_c10,sk_c9) ),
inference(forward_demodulation,[status(thm)],[f98,f375]) ).
fof(f382,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| sk_c9 = multiply(sk_c9,sk_c8) ),
inference(forward_demodulation,[status(thm)],[f106,f376]) ).
fof(f383,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| sk_c7 = multiply(sk_c7,sk_c10) ),
inference(forward_demodulation,[status(thm)],[f114,f377]) ).
fof(f395,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| sk_c9 = multiply(inverse(sk_c10),sk_c10) ),
inference(paramodulation,[status(thm)],[f381,f268]) ).
fof(f397,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| sk_c9 = identity ),
inference(forward_demodulation,[status(thm)],[f46,f395]) ).
fof(f416,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| multiply(sk_c10,sk_c9) = multiply(sk_c4,sk_c10) ),
inference(paramodulation,[status(thm)],[f118,f186]) ).
fof(f419,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c10 = multiply(sk_c4,sk_c10) ),
inference(forward_demodulation,[status(thm)],[f381,f416]) ).
fof(f424,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c6 = multiply(sk_c7,sk_c9) ),
inference(backward_demodulation,[status(thm)],[f397,f380]) ).
fof(f431,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| multiply(inverse(X0),X0) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f397,f46]) ).
fof(f432,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| multiply(sk_c9,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f397,f45]) ).
fof(f433,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| sk_c6 = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f118,f424]) ).
fof(f437,plain,
( sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| inverse(sk_c6) != sk_c9 ),
inference(backward_demodulation,[status(thm)],[f433,f92]) ).
fof(f441,plain,
( ~ sQ13_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| multiply(sk_c8,sk_c9) = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f433,f160]) ).
fof(f446,plain,
( sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| sk_c5 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f122,f437]) ).
fof(f453,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| multiply(sk_c9,sk_c3) = sk_c9 ),
inference(paramodulation,[status(thm)],[f106,f431]) ).
fof(f456,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c3 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f432,f453]) ).
fof(f459,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| multiply(sk_c3,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f456,f432]) ).
fof(f460,plain,
( sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| sk_c5 != sk_c3 ),
inference(backward_demodulation,[status(thm)],[f456,f446]) ).
fof(f461,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| sk_c3 = identity ),
inference(backward_demodulation,[status(thm)],[f456,f397]) ).
fof(f462,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| inverse(sk_c3) = sk_c3 ),
inference(backward_demodulation,[status(thm)],[f456,f106]) ).
fof(f470,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c3 = multiply(sk_c9,sk_c8) ),
inference(forward_demodulation,[status(thm)],[f456,f382]) ).
fof(f471,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c3 = multiply(sk_c3,sk_c8) ),
inference(forward_demodulation,[status(thm)],[f456,f470]) ).
fof(f472,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| inverse(sk_c3) = sk_c8 ),
inference(backward_demodulation,[status(thm)],[f477,f462]) ).
fof(f473,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| multiply(sk_c8,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f477,f459]) ).
fof(f474,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sk_c8 = identity ),
inference(backward_demodulation,[status(thm)],[f477,f461]) ).
fof(f475,plain,
( sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sk_c5 != sk_c8 ),
inference(backward_demodulation,[status(thm)],[f477,f460]) ).
fof(f476,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| sk_c8 = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f477,f456]) ).
fof(f477,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c3 = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f459,f471]) ).
fof(f478,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| inverse(sk_c8) = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f477,f472]) ).
fof(f487,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| sk_c7 = multiply(sk_c7,sk_c6) ),
inference(forward_demodulation,[status(thm)],[f433,f383]) ).
fof(f494,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| sk_c6 = multiply(sk_c4,sk_c10) ),
inference(forward_demodulation,[status(thm)],[f433,f419]) ).
fof(f495,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| sk_c6 = multiply(sk_c4,sk_c6) ),
inference(forward_demodulation,[status(thm)],[f433,f494]) ).
fof(f496,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| sk_c6 = multiply(inverse(sk_c4),sk_c6) ),
inference(paramodulation,[status(thm)],[f495,f268]) ).
fof(f498,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ6_spl
| sk_c6 = multiply(sk_c7,sk_c6) ),
inference(forward_demodulation,[status(thm)],[f114,f496]) ).
fof(f499,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ6_spl
| sk_c6 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f487,f498]) ).
fof(f501,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| sk_c7 = multiply(sk_c6,sk_c6) ),
inference(backward_demodulation,[status(thm)],[f499,f487]) ).
fof(f502,plain,
( ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ6_spl
| inverse(sk_c5) = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f499,f126]) ).
fof(f503,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| inverse(sk_c4) = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f499,f114]) ).
fof(f505,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| sk_c6 = multiply(sk_c6,sk_c6) ),
inference(forward_demodulation,[status(thm)],[f499,f501]) ).
fof(f508,plain,
( ~ sQ13_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sk_c9 = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f473,f441]) ).
fof(f510,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ13_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| inverse(sk_c8) = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f515,f478]) ).
fof(f512,plain,
( sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ13_spl
| sk_c5 != sk_c6 ),
inference(backward_demodulation,[status(thm)],[f515,f475]) ).
fof(f515,plain,
( ~ sQ13_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sk_c8 = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f476,f508]) ).
fof(f516,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ13_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| inverse(sk_c6) = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f515,f510]) ).
fof(f517,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ13_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| sk_c5 = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f122,f516]) ).
fof(f534,plain,
( sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ13_spl
| sk_c5 != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f517,f512]) ).
fof(f535,plain,
( sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f534]) ).
fof(f536,plain,
( sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f535]) ).
fof(f611,plain,
! [X0] : multiply(identity,X0) = X0,
inference(paramodulation,[status(thm)],[f268,f373]) ).
fof(f651,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| sk_c10 = multiply(sk_c10,sk_c9) ),
inference(paramodulation,[status(thm)],[f134,f273]) ).
fof(f660,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| sk_c9 = multiply(inverse(sk_c10),sk_c10) ),
inference(paramodulation,[status(thm)],[f651,f268]) ).
fof(f662,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| sk_c9 = identity ),
inference(forward_demodulation,[status(thm)],[f46,f660]) ).
fof(f664,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ12_spl
| multiply(inverse(X0),X0) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f662,f46]) ).
fof(f666,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ12_spl
| multiply(sk_c9,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f662,f611]) ).
fof(f673,plain,
( sQ21_spl
| ~ sQ11_spl
| ~ sQ12_spl
| sk_c10 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f651,f214]) ).
fof(f674,plain,
( sQ21_spl
| ~ sQ11_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f673]) ).
fof(f675,plain,
( sQ21_spl
| ~ sQ11_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f674]) ).
fof(f677,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| multiply(sk_c9,sk_c10) = sk_c9 ),
inference(paramodulation,[status(thm)],[f91,f664]) ).
fof(f681,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| sk_c10 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f666,f677]) ).
fof(f682,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f681,f260]) ).
fof(f683,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f682]) ).
fof(f699,definition,
( sQ47_spl
<=> sk_c9 = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f701,plain,
( sQ47_spl
| sk_c9 != sk_c8 ),
inference(component_clause,[status(thm)],[f699]) ).
fof(f718,plain,
( ~ sQ0_spl
| ~ sQ26_spl
| multiply(sk_c10,inverse(sk_c4)) != inverse(sk_c10)
| inverse(sk_c9) != inverse(sk_c4) ),
inference(paramodulation,[status(thm)],[f91,f230]) ).
fof(f726,definition,
( sQ51_spl
<=> inverse(sk_c9) = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f728,plain,
( sQ51_spl
| inverse(sk_c9) != inverse(sk_c4) ),
inference(component_clause,[status(thm)],[f726]) ).
fof(f729,definition,
( sQ52_spl
<=> multiply(sk_c10,inverse(sk_c4)) = inverse(sk_c10) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f731,plain,
( sQ52_spl
| multiply(sk_c10,inverse(sk_c4)) != inverse(sk_c10) ),
inference(component_clause,[status(thm)],[f729]) ).
fof(f732,plain,
( ~ sQ0_spl
| ~ sQ26_spl
| ~ sQ52_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f718,f726,f729,f229,f90]) ).
fof(f733,plain,
( sQ52_spl
| ~ sQ0_spl
| multiply(sk_c10,inverse(sk_c4)) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f91,f731]) ).
fof(f738,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| X0 = multiply(sk_c9,multiply(sk_c1,X0)) ),
inference(backward_demodulation,[status(thm)],[f681,f273]) ).
fof(f740,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| multiply(sk_c8,sk_c9) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f681,f160]) ).
fof(f742,plain,
( ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| inverse(sk_c1) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f681,f147]) ).
fof(f744,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| inverse(sk_c9) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f681,f91]) ).
fof(f746,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| X0 = multiply(sk_c1,X0) ),
inference(forward_demodulation,[status(thm)],[f666,f738]) ).
fof(f759,plain,
( ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| multiply(sk_c9,sk_c1) = sk_c9 ),
inference(paramodulation,[status(thm)],[f742,f664]) ).
fof(f763,plain,
( ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| sk_c1 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f666,f759]) ).
fof(f771,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| sk_c10 = sk_c1 ),
inference(backward_demodulation,[status(thm)],[f763,f681]) ).
fof(f772,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| inverse(X0) != sk_c1
| multiply(X0,sk_c9) != sk_c8 ),
inference(backward_demodulation,[status(thm)],[f763,f176]) ).
fof(f773,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ0_spl
| multiply(inverse(X0),X0) = sk_c1 ),
inference(backward_demodulation,[status(thm)],[f763,f664]) ).
fof(f778,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| inverse(X0) != sk_c1
| multiply(X0,sk_c1) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f763,f772]) ).
fof(f779,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| multiply(sk_c8,sk_c1) = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f763,f740]) ).
fof(f780,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| multiply(sk_c8,sk_c1) = sk_c1 ),
inference(forward_demodulation,[status(thm)],[f763,f779]) ).
fof(f782,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| multiply(sk_c1,X0) = multiply(sk_c8,multiply(sk_c1,X0)) ),
inference(paramodulation,[status(thm)],[f780,f47]) ).
fof(f783,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| X0 = multiply(sk_c8,multiply(sk_c1,X0)) ),
inference(forward_demodulation,[status(thm)],[f746,f782]) ).
fof(f784,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| X0 = multiply(sk_c8,X0) ),
inference(forward_demodulation,[status(thm)],[f746,f783]) ).
fof(f785,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| inverse(sk_c1) = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f763,f744]) ).
fof(f786,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| inverse(sk_c1) = sk_c1 ),
inference(forward_demodulation,[status(thm)],[f763,f785]) ).
fof(f799,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| X0 = multiply(inverse(sk_c8),X0) ),
inference(paramodulation,[status(thm)],[f784,f268]) ).
fof(f819,definition,
( sQ54_spl
<=> sk_c1 = sk_c1 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f821,plain,
( sQ54_spl
| sk_c1 != sk_c1 ),
inference(component_clause,[status(thm)],[f819]) ).
fof(f844,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ15_spl
| sk_c1 != sk_c1
| multiply(sk_c1,sk_c1) != sk_c8 ),
inference(paramodulation,[status(thm)],[f786,f778]) ).
fof(f846,definition,
( sQ56_spl
<=> multiply(sk_c1,sk_c1) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f848,plain,
( sQ56_spl
| multiply(sk_c1,sk_c1) != sk_c8 ),
inference(component_clause,[status(thm)],[f846]) ).
fof(f849,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ15_spl
| ~ sQ54_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f844,f846,f819,f175,f146,f133,f90]) ).
fof(f850,plain,
( sQ56_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| sk_c1 != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f746,f848]) ).
fof(f851,plain,
( sQ54_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f821]) ).
fof(f852,plain,
sQ54_spl,
inference(contradiction_clause,[status(thm)],[f851]) ).
fof(f870,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| sk_c8 = sk_c1 ),
inference(paramodulation,[status(thm)],[f799,f773]) ).
fof(f888,plain,
( sQ56_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ13_spl
| sk_c1 != sk_c1 ),
inference(forward_demodulation,[status(thm)],[f870,f850]) ).
fof(f889,plain,
( sQ56_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f888]) ).
fof(f890,plain,
( sQ56_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f889]) ).
fof(f898,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| multiply(X0,sk_c10) != inverse(X0)
| inverse(inverse(X0)) != sk_c1 ),
inference(forward_demodulation,[status(thm)],[f771,f258]) ).
fof(f899,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| multiply(X0,sk_c1) != inverse(X0)
| inverse(inverse(X0)) != sk_c1 ),
inference(forward_demodulation,[status(thm)],[f771,f898]) ).
fof(f900,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ33_spl
| multiply(sk_c1,sk_c1) != inverse(sk_c1)
| inverse(sk_c1) != sk_c1 ),
inference(paramodulation,[status(thm)],[f786,f899]) ).
fof(f901,definition,
( sQ57_spl
<=> inverse(sk_c1) = sk_c1 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f903,plain,
( sQ57_spl
| inverse(sk_c1) != sk_c1 ),
inference(component_clause,[status(thm)],[f901]) ).
fof(f904,definition,
( sQ58_spl
<=> multiply(sk_c1,sk_c1) = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f906,plain,
( sQ58_spl
| multiply(sk_c1,sk_c1) != inverse(sk_c1) ),
inference(component_clause,[status(thm)],[f904]) ).
fof(f907,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ33_spl
| ~ sQ58_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f900,f901,f904,f253,f146,f133,f90]) ).
fof(f908,plain,
( sQ57_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| sk_c1 != sk_c1 ),
inference(forward_demodulation,[status(thm)],[f786,f903]) ).
fof(f909,plain,
( sQ57_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f908]) ).
fof(f910,plain,
( sQ57_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f909]) ).
fof(f911,plain,
( sQ58_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| sk_c1 != inverse(sk_c1) ),
inference(forward_demodulation,[status(thm)],[f746,f906]) ).
fof(f912,plain,
( sQ58_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| sk_c1 != sk_c1 ),
inference(forward_demodulation,[status(thm)],[f786,f911]) ).
fof(f913,plain,
( sQ58_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f912]) ).
fof(f914,plain,
( sQ58_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f913]) ).
fof(f957,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| multiply(sk_c8,X0) = X0 ),
inference(forward_demodulation,[status(thm)],[f474,f611]) ).
fof(f990,plain,
( ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| inverse(sk_c6) = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f433,f91]) ).
fof(f991,plain,
( ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| sk_c5 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f122,f990]) ).
fof(f993,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| inverse(sk_c8) = sk_c5 ),
inference(backward_demodulation,[status(thm)],[f999,f478]) ).
fof(f994,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| multiply(sk_c5,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f999,f957]) ).
fof(f996,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| sk_c5 = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f999,f476]) ).
fof(f999,plain,
( ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sk_c5 = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f476,f991]) ).
fof(f1000,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| inverse(sk_c5) = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f999,f993]) ).
fof(f1001,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c6 = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f502,f1000]) ).
fof(f1002,plain,
( ~ sQ8_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| inverse(sk_c5) = sk_c5 ),
inference(backward_demodulation,[status(thm)],[f1001,f122]) ).
fof(f1006,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| inverse(sk_c4) = sk_c5 ),
inference(backward_demodulation,[status(thm)],[f1001,f503]) ).
fof(f1009,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c5 = sk_c10 ),
inference(backward_demodulation,[status(thm)],[f1001,f433]) ).
fof(f1035,plain,
( sQ51_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| inverse(sk_c5) != inverse(sk_c4) ),
inference(forward_demodulation,[status(thm)],[f996,f728]) ).
fof(f1036,plain,
( sQ51_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c5 != inverse(sk_c4) ),
inference(forward_demodulation,[status(thm)],[f1002,f1035]) ).
fof(f1037,plain,
( sQ51_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c5 != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f1006,f1036]) ).
fof(f1038,plain,
( sQ51_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1037]) ).
fof(f1039,plain,
( sQ51_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f1038]) ).
fof(f1040,plain,
( sQ52_spl
| ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ6_spl
| multiply(sk_c5,inverse(sk_c4)) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1009,f733]) ).
fof(f1041,plain,
( sQ52_spl
| ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ6_spl
| inverse(sk_c4) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f994,f1040]) ).
fof(f1042,plain,
( sQ52_spl
| ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c5 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1006,f1041]) ).
fof(f1043,plain,
( sQ52_spl
| ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c5 != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f996,f1042]) ).
fof(f1044,plain,
( sQ52_spl
| ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1043]) ).
fof(f1045,plain,
( sQ52_spl
| ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f1044]) ).
fof(f1055,definition,
( sQ61_spl
<=> multiply(sk_c10,sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f1057,plain,
( sQ61_spl
| multiply(sk_c10,sk_c10) != sk_c9 ),
inference(component_clause,[status(thm)],[f1055]) ).
fof(f1058,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| ~ sQ37_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f294,f1055,f287,f172,f90]) ).
fof(f1059,plain,
( sQ37_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c5 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1009,f289]) ).
fof(f1060,plain,
( sQ37_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c5 != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f996,f1059]) ).
fof(f1061,plain,
( sQ37_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1060]) ).
fof(f1062,plain,
( sQ37_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f1061]) ).
fof(f1063,plain,
( sQ61_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ6_spl
| multiply(sk_c5,sk_c10) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1009,f1057]) ).
fof(f1064,plain,
( sQ61_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c10 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f994,f1063]) ).
fof(f1065,plain,
( sQ61_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c5 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1009,f1064]) ).
fof(f1066,plain,
( sQ61_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c5 != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f996,f1065]) ).
fof(f1067,plain,
( sQ61_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1066]) ).
fof(f1068,plain,
( sQ61_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f1067]) ).
fof(f1171,plain,
( sQ13_spl
| ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| multiply(sk_c5,sk_c9) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f999,f161]) ).
fof(f1172,plain,
( sQ13_spl
| ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sk_c9 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f994,f1171]) ).
fof(f1173,plain,
( sQ13_spl
| ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sk_c5 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f996,f1172]) ).
fof(f1174,plain,
( sQ13_spl
| ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c5 != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f1009,f1173]) ).
fof(f1175,plain,
( sQ13_spl
| ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1174]) ).
fof(f1176,plain,
( sQ13_spl
| ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f1175]) ).
fof(f1179,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f476,f701]) ).
fof(f1180,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f1179]) ).
fof(f1184,plain,
( ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ6_spl
| multiply(sk_c6,sk_c6) = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f499,f130]) ).
fof(f1219,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| multiply(inverse(X0),X0) = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f476,f431]) ).
fof(f1295,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| sk_c6 = multiply(sk_c7,sk_c10) ),
inference(forward_demodulation,[status(thm)],[f499,f383]) ).
fof(f1296,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| sk_c6 = multiply(sk_c6,sk_c10) ),
inference(forward_demodulation,[status(thm)],[f499,f1295]) ).
fof(f1297,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| sk_c6 = multiply(sk_c6,sk_c6) ),
inference(forward_demodulation,[status(thm)],[f433,f1296]) ).
fof(f1298,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| sk_c6 = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f1184,f1297]) ).
fof(f1334,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ10_spl
| sk_c5 = multiply(sk_c6,sk_c6) ),
inference(forward_demodulation,[status(thm)],[f1298,f505]) ).
fof(f1335,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ10_spl
| sk_c5 = multiply(sk_c5,sk_c6) ),
inference(forward_demodulation,[status(thm)],[f1298,f1334]) ).
fof(f1336,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ10_spl
| sk_c5 = multiply(sk_c5,sk_c5) ),
inference(forward_demodulation,[status(thm)],[f1298,f1335]) ).
fof(f1337,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ10_spl
| sk_c5 = multiply(inverse(sk_c5),sk_c5) ),
inference(paramodulation,[status(thm)],[f1336,f268]) ).
fof(f1339,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sk_c5 = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f1219,f1337]) ).
fof(f1340,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1339,f475]) ).
fof(f1341,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1340]) ).
fof(f1342,plain,
$false,
inference(sat_refutation,[status(thm)],[f96,f100,f104,f108,f112,f116,f120,f124,f128,f136,f137,f138,f139,f140,f141,f142,f143,f144,f149,f150,f151,f152,f153,f154,f155,f156,f157,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f181,f232,f256,f283,f292,f298,f320,f355,f536,f675,f683,f732,f849,f852,f890,f907,f910,f914,f1039,f1045,f1058,f1062,f1068,f1176,f1180,f1341]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP377-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n002.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 20:13:32 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.45 % Refutation found
% 0.10/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.47 % Elapsed time: 0.089966 seconds
% 0.10/0.47 % CPU time: 0.419756 seconds
% 0.10/0.47 % Total memory used: 110.935 MB
% 0.10/0.47 % Net memory used: 110.474 MB
%------------------------------------------------------------------------------