%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP373-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 0.09s 0.56s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 72
% Syntax : Number of formulae : 323 ( 11 unt; 38 def)
% Number of atoms : 1087 ( 383 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 1420 ( 656 ~; 726 |; 0 &)
% ( 38 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 40 ( 38 usr; 39 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 64 ( 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : multiply(identity,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : multiply(inverse(X),X) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c11,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c11,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c11,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c11,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c11,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c11,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c2,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c2,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c2,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c2,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f59,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f64,negated_conjecture,
! [X3,X4,X1,X2,X5,X6,X7,X8] :
( multiply(X7,X6) != X8
| inverse(X8) != X6
| inverse(X7) != X8
| multiply(X6,sk_c10) != sk_c11
| inverse(X5) != X6
| multiply(X5,X6) != sk_c11
| inverse(X2) != sk_c10
| multiply(X2,sk_c10) != sk_c9
| inverse(X1) != sk_c11
| multiply(X1,sk_c11) != sk_c10
| inverse(X4) != sk_c9
| multiply(X4,sk_c9) != sk_c10
| multiply(sk_c11,sk_c9) != sk_c10
| inverse(X3) != sk_c11
| multiply(X3,sk_c11) != sk_c10
| inverse(sk_c11) != sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f65,plain,
! [X0] : multiply(identity,X0) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f66,plain,
! [X0] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f67,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f68,plain,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c11) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f69,plain,
( inverse(sk_c3) = sk_c11
| inverse(sk_c11) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f70,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c11) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f71,plain,
( inverse(sk_c4) = sk_c10
| inverse(sk_c11) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f72,plain,
( multiply(sk_c5,sk_c8) = sk_c11
| inverse(sk_c11) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f73,plain,
( inverse(sk_c5) = sk_c8
| inverse(sk_c11) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f78,plain,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c1,sk_c11) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f79,plain,
( inverse(sk_c3) = sk_c11
| multiply(sk_c1,sk_c11) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f88,plain,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c1) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f89,plain,
( inverse(sk_c3) = sk_c11
| inverse(sk_c1) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f90,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c1) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f91,plain,
( inverse(sk_c4) = sk_c10
| inverse(sk_c1) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f98,plain,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f99,plain,
( inverse(sk_c3) = sk_c11
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f100,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f101,plain,
( inverse(sk_c4) = sk_c10
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f102,plain,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f103,plain,
( inverse(sk_c5) = sk_c8
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f108,plain,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c2,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f109,plain,
( inverse(sk_c3) = sk_c11
| multiply(sk_c2,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f110,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f111,plain,
( inverse(sk_c4) = sk_c10
| multiply(sk_c2,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f112,plain,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c2,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f113,plain,
( inverse(sk_c5) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f118,plain,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f119,plain,
( inverse(sk_c3) = sk_c11
| inverse(sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f120,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f121,plain,
( inverse(sk_c4) = sk_c10
| inverse(sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f122,plain,
( multiply(sk_c5,sk_c8) = sk_c11
| inverse(sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f123,plain,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f128,plain,
! [X6,X7,X8] :
( multiply(X7,X6) != X8
| inverse(X8) != X6
| inverse(X7) != X8
| multiply(X6,sk_c10) != sk_c11
| ! [X5] :
( inverse(X5) != X6
| multiply(X5,X6) != sk_c11
| ! [X2] :
( inverse(X2) != sk_c10
| multiply(X2,sk_c10) != sk_c9
| ! [X1] :
( inverse(X1) != sk_c11
| multiply(X1,sk_c11) != sk_c10
| ! [X4] :
( inverse(X4) != sk_c9
| multiply(X4,sk_c9) != sk_c10
| multiply(sk_c11,sk_c9) != sk_c10
| ! [X3] :
( inverse(X3) != sk_c11
| multiply(X3,sk_c11) != sk_c10
| inverse(sk_c11) != sk_c10 ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f64]) ).
fof(f129,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( multiply(X6,X5) != X7
| inverse(X7) != X5
| inverse(X6) != X7
| multiply(X5,sk_c10) != sk_c11
| inverse(X4) != X5
| multiply(X4,X5) != sk_c11
| inverse(X3) != sk_c10
| multiply(X3,sk_c10) != sk_c9
| inverse(X2) != sk_c11
| multiply(X2,sk_c11) != sk_c10
| inverse(X1) != sk_c9
| multiply(X1,sk_c9) != sk_c10
| multiply(sk_c11,sk_c9) != sk_c10
| inverse(X0) != sk_c11
| multiply(X0,sk_c11) != sk_c10
| inverse(sk_c11) != sk_c10 ),
inference(cnf_transformation,[status(thm)],[f128]) ).
fof(f130,definition,
( sQ0_spl
<=> inverse(sk_c11) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f131,plain,
( ~ sQ0_spl
| inverse(sk_c11) = sk_c10 ),
inference(component_clause,[status(thm)],[f130]) ).
fof(f132,plain,
( sQ0_spl
| inverse(sk_c11) != sk_c10 ),
inference(component_clause,[status(thm)],[f130]) ).
fof(f133,definition,
( sQ1_spl
<=> multiply(sk_c3,sk_c11) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f134,plain,
( ~ sQ1_spl
| multiply(sk_c3,sk_c11) = sk_c10 ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f136,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f68,f130,f133]) ).
fof(f137,definition,
( sQ2_spl
<=> inverse(sk_c3) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f138,plain,
( ~ sQ2_spl
| inverse(sk_c3) = sk_c11 ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f140,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f69,f130,f137]) ).
fof(f141,definition,
( sQ3_spl
<=> multiply(sk_c4,sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f142,plain,
( ~ sQ3_spl
| multiply(sk_c4,sk_c10) = sk_c9 ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f144,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f70,f130,f141]) ).
fof(f145,definition,
( sQ4_spl
<=> inverse(sk_c4) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f146,plain,
( ~ sQ4_spl
| inverse(sk_c4) = sk_c10 ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f148,plain,
( sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f71,f130,f145]) ).
fof(f149,definition,
( sQ5_spl
<=> multiply(sk_c5,sk_c8) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f150,plain,
( ~ sQ5_spl
| multiply(sk_c5,sk_c8) = sk_c11 ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f152,plain,
( sQ5_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f72,f130,f149]) ).
fof(f153,definition,
( sQ6_spl
<=> inverse(sk_c5) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f154,plain,
( ~ sQ6_spl
| inverse(sk_c5) = sk_c8 ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f156,plain,
( sQ6_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f73,f130,f153]) ).
fof(f173,definition,
( sQ11_spl
<=> multiply(sk_c1,sk_c11) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f174,plain,
( ~ sQ11_spl
| multiply(sk_c1,sk_c11) = sk_c10 ),
inference(component_clause,[status(thm)],[f173]) ).
fof(f176,plain,
( sQ1_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f78,f173,f133]) ).
fof(f177,plain,
( sQ2_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f79,f173,f137]) ).
fof(f186,definition,
( sQ12_spl
<=> inverse(sk_c1) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f187,plain,
( ~ sQ12_spl
| inverse(sk_c1) = sk_c11 ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f189,plain,
( sQ1_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f88,f186,f133]) ).
fof(f190,plain,
( sQ2_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f89,f186,f137]) ).
fof(f191,plain,
( sQ3_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f90,f186,f141]) ).
fof(f192,plain,
( sQ4_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f91,f186,f145]) ).
fof(f199,definition,
( sQ13_spl
<=> multiply(sk_c11,sk_c9) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f200,plain,
( ~ sQ13_spl
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f201,plain,
( sQ13_spl
| multiply(sk_c11,sk_c9) != sk_c10 ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f202,plain,
( sQ1_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f98,f199,f133]) ).
fof(f203,plain,
( sQ2_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f99,f199,f137]) ).
fof(f204,plain,
( sQ3_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f100,f199,f141]) ).
fof(f205,plain,
( sQ4_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f101,f199,f145]) ).
fof(f206,plain,
( sQ5_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f102,f199,f149]) ).
fof(f207,plain,
( sQ6_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f103,f199,f153]) ).
fof(f212,definition,
( sQ14_spl
<=> multiply(sk_c2,sk_c9) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f213,plain,
( ~ sQ14_spl
| multiply(sk_c2,sk_c9) = sk_c10 ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,plain,
( sQ1_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f108,f212,f133]) ).
fof(f216,plain,
( sQ2_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f109,f212,f137]) ).
fof(f217,plain,
( sQ3_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f110,f212,f141]) ).
fof(f218,plain,
( sQ4_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f111,f212,f145]) ).
fof(f219,plain,
( sQ5_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f112,f212,f149]) ).
fof(f220,plain,
( sQ6_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f113,f212,f153]) ).
fof(f225,definition,
( sQ15_spl
<=> inverse(sk_c2) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f226,plain,
( ~ sQ15_spl
| inverse(sk_c2) = sk_c9 ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f228,plain,
( sQ1_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f118,f225,f133]) ).
fof(f229,plain,
( sQ2_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f119,f225,f137]) ).
fof(f230,plain,
( sQ3_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f120,f225,f141]) ).
fof(f231,plain,
( sQ4_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f121,f225,f145]) ).
fof(f232,plain,
( sQ5_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f122,f225,f149]) ).
fof(f233,plain,
( sQ6_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f123,f225,f153]) ).
fof(f238,definition,
! [X0] :
( sQ16_spl
<=> ( inverse(X0) != sk_c11
| multiply(X0,sk_c11) != sk_c10 ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f239,plain,
! [X0] :
( ~ sQ16_spl
| inverse(X0) != sk_c11
| multiply(X0,sk_c11) != sk_c10 ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f241,definition,
! [X1] :
( sQ17_spl
<=> ( inverse(X1) != sk_c9
| multiply(X1,sk_c9) != sk_c10 ) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f242,plain,
! [X0] :
( ~ sQ17_spl
| inverse(X0) != sk_c9
| multiply(X0,sk_c9) != sk_c10 ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,definition,
! [X3] :
( sQ18_spl
<=> ( inverse(X3) != sk_c10
| multiply(X3,sk_c10) != sk_c9 ) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f245,plain,
! [X0] :
( ~ sQ18_spl
| inverse(X0) != sk_c10
| multiply(X0,sk_c10) != sk_c9 ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,definition,
! [X4,X5,X6,X7] :
( sQ19_spl
<=> ( multiply(X6,X5) != X7
| inverse(X7) != X5
| inverse(X6) != X7
| multiply(X5,sk_c10) != sk_c11
| inverse(X4) != X5
| multiply(X4,X5) != sk_c11 ) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f248,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| multiply(X2,X1) != X3
| inverse(X3) != X1
| inverse(X2) != X3
| multiply(X1,sk_c10) != sk_c11
| inverse(X0) != X1
| multiply(X0,X1) != sk_c11 ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f250,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| ~ sQ13_spl
| sQ16_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f129,f130,f238,f199,f241,f244,f247]) ).
fof(f251,plain,
! [X0,X1] :
( ~ sQ19_spl
| multiply(X1,inverse(X0)) != inverse(X1)
| inverse(inverse(X1)) != inverse(X0)
| multiply(inverse(X0),sk_c10) != sk_c11
| multiply(X0,inverse(X0)) != sk_c11 ),
inference(destructive_equality_resolution,[status(thm)],[f248]) ).
fof(f271,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ19_spl
| multiply(X0,sk_c9) != inverse(X0)
| inverse(inverse(X0)) != inverse(sk_c2)
| multiply(inverse(sk_c2),sk_c10) != sk_c11
| multiply(sk_c2,inverse(sk_c2)) != sk_c11 ),
inference(paramodulation,[status(thm)],[f226,f251]) ).
fof(f275,definition,
( sQ21_spl
<=> multiply(inverse(sk_c11),sk_c10) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f277,plain,
( sQ21_spl
| multiply(inverse(sk_c11),sk_c10) != sk_c11 ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f292,definition,
( sQ26_spl
<=> multiply(sk_c4,inverse(sk_c4)) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f294,plain,
( sQ26_spl
| multiply(sk_c4,inverse(sk_c4)) != sk_c11 ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f342,definition,
( sQ41_spl
<=> multiply(sk_c2,inverse(sk_c2)) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f344,plain,
( sQ41_spl
| multiply(sk_c2,inverse(sk_c2)) != sk_c11 ),
inference(component_clause,[status(thm)],[f342]) ).
fof(f345,definition,
( sQ42_spl
<=> multiply(inverse(sk_c2),sk_c10) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f347,plain,
( sQ42_spl
| multiply(inverse(sk_c2),sk_c10) != sk_c11 ),
inference(component_clause,[status(thm)],[f345]) ).
fof(f348,definition,
! [X0] :
( sQ43_spl
<=> ( multiply(X0,sk_c9) != inverse(X0)
| inverse(inverse(X0)) != inverse(sk_c2) ) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f349,plain,
! [X0] :
( ~ sQ43_spl
| multiply(X0,sk_c9) != inverse(X0)
| inverse(inverse(X0)) != inverse(sk_c2) ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f351,plain,
( ~ sQ15_spl
| ~ sQ19_spl
| sQ43_spl
| ~ sQ42_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f271,f342,f345,f348,f247,f225]) ).
fof(f352,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ15_spl
| multiply(X0,sk_c9) != inverse(X0)
| inverse(inverse(X0)) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f226,f349]) ).
fof(f353,plain,
( sQ42_spl
| ~ sQ15_spl
| multiply(sk_c9,sk_c10) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f226,f347]) ).
fof(f354,plain,
( sQ41_spl
| ~ sQ15_spl
| multiply(sk_c2,sk_c9) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f226,f344]) ).
fof(f361,plain,
( sQ21_spl
| ~ sQ0_spl
| multiply(sk_c10,sk_c10) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f131,f277]) ).
fof(f367,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f66,f67]) ).
fof(f368,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f65,f367]) ).
fof(f376,plain,
( ~ sQ18_spl
| inverse(inverse(sk_c10)) != sk_c10
| identity != sk_c9 ),
inference(paramodulation,[status(thm)],[f66,f245]) ).
fof(f377,plain,
( ~ sQ18_spl
| inverse(identity) != sk_c10
| sk_c10 != sk_c9 ),
inference(paramodulation,[status(thm)],[f65,f245]) ).
fof(f379,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| inverse(sk_c4) != sk_c10
| sk_c9 != sk_c9 ),
inference(paramodulation,[status(thm)],[f142,f245]) ).
fof(f381,definition,
( sQ44_spl
<=> identity = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( sQ44_spl
| identity != sk_c9 ),
inference(component_clause,[status(thm)],[f381]) ).
fof(f384,definition,
( sQ45_spl
<=> inverse(inverse(sk_c10)) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f387,plain,
( ~ sQ18_spl
| ~ sQ45_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f376,f381,f384,f244]) ).
fof(f388,definition,
( sQ46_spl
<=> sk_c10 = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f389,plain,
( ~ sQ46_spl
| sk_c10 = sk_c9 ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f390,plain,
( sQ46_spl
| sk_c10 != sk_c9 ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f391,definition,
( sQ47_spl
<=> inverse(identity) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f393,plain,
( sQ47_spl
| inverse(identity) != sk_c10 ),
inference(component_clause,[status(thm)],[f391]) ).
fof(f394,plain,
( ~ sQ18_spl
| ~ sQ47_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f377,f388,f391,f244]) ).
fof(f395,definition,
( sQ48_spl
<=> sk_c9 = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f397,plain,
( sQ48_spl
| sk_c9 != sk_c9 ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| ~ sQ4_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f379,f395,f145,f244,f141]) ).
fof(f399,definition,
( sQ49_spl
<=> sk_c11 = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f401,plain,
( sQ49_spl
| sk_c11 != sk_c9 ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f406,plain,
( sQ48_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f397]) ).
fof(f407,plain,
sQ48_spl,
inference(contradiction_clause,[status(thm)],[f406]) ).
fof(f408,plain,
( ~ sQ13_spl
| ~ sQ17_spl
| inverse(sk_c11) != sk_c9 ),
inference(resolution,[status(thm)],[f242,f200]) ).
fof(f415,plain,
( ~ sQ13_spl
| ~ sQ17_spl
| ~ sQ0_spl
| sk_c10 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f131,f408]) ).
fof(f421,plain,
( ~ sQ16_spl
| inverse(inverse(sk_c11)) != sk_c11
| identity != sk_c10 ),
inference(paramodulation,[status(thm)],[f66,f239]) ).
fof(f422,plain,
( ~ sQ16_spl
| inverse(identity) != sk_c11
| sk_c11 != sk_c10 ),
inference(paramodulation,[status(thm)],[f65,f239]) ).
fof(f424,plain,
( ~ sQ1_spl
| ~ sQ16_spl
| inverse(sk_c3) != sk_c11
| sk_c10 != sk_c10 ),
inference(paramodulation,[status(thm)],[f134,f239]) ).
fof(f425,plain,
( ~ sQ11_spl
| ~ sQ16_spl
| inverse(sk_c1) != sk_c11
| sk_c10 != sk_c10 ),
inference(paramodulation,[status(thm)],[f174,f239]) ).
fof(f426,definition,
( sQ51_spl
<=> identity = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f428,plain,
( sQ51_spl
| identity != sk_c10 ),
inference(component_clause,[status(thm)],[f426]) ).
fof(f429,definition,
( sQ52_spl
<=> inverse(inverse(sk_c11)) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f432,plain,
( ~ sQ16_spl
| ~ sQ52_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f421,f426,f429,f238]) ).
fof(f433,definition,
( sQ53_spl
<=> sk_c11 = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f435,plain,
( sQ53_spl
| sk_c11 != sk_c10 ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f436,definition,
( sQ54_spl
<=> inverse(identity) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f439,plain,
( ~ sQ16_spl
| ~ sQ54_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f422,f433,f436,f238]) ).
fof(f440,definition,
( sQ55_spl
<=> sk_c10 = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f442,plain,
( sQ55_spl
| sk_c10 != sk_c10 ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,plain,
( ~ sQ1_spl
| ~ sQ16_spl
| ~ sQ2_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f424,f440,f137,f238,f133]) ).
fof(f444,plain,
( ~ sQ11_spl
| ~ sQ16_spl
| ~ sQ12_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f425,f440,f186,f238,f173]) ).
fof(f445,plain,
( sQ55_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f442]) ).
fof(f446,plain,
sQ55_spl,
inference(contradiction_clause,[status(thm)],[f445]) ).
fof(f476,plain,
( ~ sQ19_spl
| inverse(inverse(identity)) != inverse(identity)
| multiply(inverse(identity),sk_c10) != sk_c11
| multiply(identity,inverse(identity)) != sk_c11 ),
inference(resolution,[status(thm)],[f251,f65]) ).
fof(f488,definition,
( sQ56_spl
<=> multiply(identity,inverse(identity)) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f490,plain,
( sQ56_spl
| multiply(identity,inverse(identity)) != sk_c11 ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f491,definition,
( sQ57_spl
<=> multiply(inverse(identity),sk_c10) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f493,plain,
( sQ57_spl
| multiply(inverse(identity),sk_c10) != sk_c11 ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f494,definition,
( sQ58_spl
<=> inverse(inverse(identity)) = inverse(identity) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f496,plain,
( sQ58_spl
| inverse(inverse(identity)) != inverse(identity) ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f497,plain,
( ~ sQ19_spl
| ~ sQ58_spl
| ~ sQ57_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f476,f488,f491,f494,f247]) ).
fof(f506,plain,
( sQ56_spl
| inverse(identity) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f65,f490]) ).
fof(f533,plain,
( sQ26_spl
| ~ sQ4_spl
| multiply(sk_c4,sk_c10) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f146,f294]) ).
fof(f534,plain,
( sQ26_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sk_c9 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f142,f533]) ).
fof(f548,plain,
( ~ sQ3_spl
| sk_c10 = multiply(inverse(sk_c4),sk_c9) ),
inference(paramodulation,[status(thm)],[f142,f368]) ).
fof(f558,plain,
( ~ sQ1_spl
| sk_c11 = multiply(inverse(sk_c3),sk_c10) ),
inference(paramodulation,[status(thm)],[f134,f368]) ).
fof(f560,plain,
( ~ sQ5_spl
| sk_c8 = multiply(inverse(sk_c5),sk_c11) ),
inference(paramodulation,[status(thm)],[f150,f368]) ).
fof(f565,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| sk_c10 = multiply(sk_c10,sk_c9) ),
inference(forward_demodulation,[status(thm)],[f146,f548]) ).
fof(f567,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| sk_c11 = multiply(sk_c11,sk_c10) ),
inference(forward_demodulation,[status(thm)],[f138,f558]) ).
fof(f571,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| sk_c8 = multiply(sk_c8,sk_c11) ),
inference(forward_demodulation,[status(thm)],[f154,f560]) ).
fof(f579,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| sk_c9 = multiply(inverse(sk_c10),sk_c10) ),
inference(paramodulation,[status(thm)],[f565,f368]) ).
fof(f581,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| sk_c9 = identity ),
inference(forward_demodulation,[status(thm)],[f66,f579]) ).
fof(f582,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f581,f383]) ).
fof(f583,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f582]) ).
fof(f594,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ4_spl
| multiply(inverse(X0),X0) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f581,f66]) ).
fof(f595,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c9,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f581,f65]) ).
fof(f616,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| sk_c11 = multiply(inverse(sk_c8),sk_c8) ),
inference(paramodulation,[status(thm)],[f571,f368]) ).
fof(f619,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c11 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f594,f616]) ).
fof(f620,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f619,f401]) ).
fof(f621,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f620]) ).
fof(f622,plain,
( sQ26_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f534,f399,f141,f145,f292]) ).
fof(f632,plain,
( sQ0_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| inverse(sk_c9) != sk_c10 ),
inference(backward_demodulation,[status(thm)],[f619,f132]) ).
fof(f635,plain,
( ~ sQ13_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c9,sk_c9) = sk_c10 ),
inference(backward_demodulation,[status(thm)],[f619,f200]) ).
fof(f637,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| inverse(sk_c3) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f619,f138]) ).
fof(f640,plain,
( ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c3,sk_c9) = sk_c10 ),
inference(backward_demodulation,[status(thm)],[f619,f134]) ).
fof(f646,plain,
( ~ sQ13_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c9 = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f595,f635]) ).
fof(f647,plain,
( ~ sQ13_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f646,f390]) ).
fof(f648,plain,
( ~ sQ13_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f647]) ).
fof(f649,plain,
( sQ13_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c9,sk_c9) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f619,f201]) ).
fof(f650,plain,
( sQ13_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c9 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f595,f649]) ).
fof(f651,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c9,sk_c3) = sk_c9 ),
inference(paramodulation,[status(thm)],[f637,f594]) ).
fof(f653,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c3 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f595,f651]) ).
fof(f655,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| inverse(sk_c9) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f653,f637]) ).
fof(f664,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c9 = multiply(sk_c11,sk_c10) ),
inference(forward_demodulation,[status(thm)],[f619,f567]) ).
fof(f665,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c9 = multiply(sk_c9,sk_c10) ),
inference(forward_demodulation,[status(thm)],[f619,f664]) ).
fof(f666,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c9 = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f595,f665]) ).
fof(f667,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f666,f650]) ).
fof(f668,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f667]) ).
fof(f680,plain,
( sQ0_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| sk_c9 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f655,f632]) ).
fof(f684,plain,
( ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| multiply(sk_c9,sk_c9) = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f653,f640]) ).
fof(f690,plain,
( ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| sk_c9 = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f595,f684]) ).
fof(f696,plain,
( sQ0_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sk_c9 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f690,f680]) ).
fof(f697,plain,
( sQ0_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f696]) ).
fof(f698,plain,
( sQ0_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f697]) ).
fof(f713,plain,
( ~ sQ13_spl
| ~ sQ17_spl
| ~ sQ0_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f415,f388,f130,f241,f199]) ).
fof(f724,definition,
( sQ61_spl
<=> inverse(sk_c11) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f726,plain,
( sQ61_spl
| inverse(sk_c11) != sk_c9 ),
inference(component_clause,[status(thm)],[f724]) ).
fof(f755,plain,
( sQ58_spl
| ~ sQ3_spl
| ~ sQ4_spl
| inverse(inverse(sk_c9)) != inverse(identity) ),
inference(forward_demodulation,[status(thm)],[f581,f496]) ).
fof(f756,plain,
( sQ58_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| inverse(sk_c9) != inverse(identity) ),
inference(forward_demodulation,[status(thm)],[f655,f755]) ).
fof(f757,plain,
( sQ58_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c9 != inverse(identity) ),
inference(forward_demodulation,[status(thm)],[f655,f756]) ).
fof(f758,plain,
( sQ58_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c9 != inverse(sk_c9) ),
inference(forward_demodulation,[status(thm)],[f581,f757]) ).
fof(f759,plain,
( sQ58_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c9 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f655,f758]) ).
fof(f760,plain,
( sQ58_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f759]) ).
fof(f761,plain,
( sQ58_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f760]) ).
fof(f762,plain,
( sQ57_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(inverse(sk_c9),sk_c10) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f581,f493]) ).
fof(f763,plain,
( sQ57_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| multiply(sk_c9,sk_c10) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f655,f762]) ).
fof(f764,plain,
( sQ57_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c10 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f595,f763]) ).
fof(f765,plain,
( sQ57_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ1_spl
| sk_c9 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f690,f764]) ).
fof(f766,plain,
( sQ57_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ1_spl
| sk_c9 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f619,f765]) ).
fof(f767,plain,
( sQ57_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f766]) ).
fof(f768,plain,
( sQ57_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f767]) ).
fof(f769,plain,
( sQ56_spl
| ~ sQ3_spl
| ~ sQ4_spl
| inverse(sk_c9) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f581,f506]) ).
fof(f770,plain,
( sQ56_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c9 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f655,f769]) ).
fof(f771,plain,
( sQ56_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c9 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f619,f770]) ).
fof(f772,plain,
( sQ56_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f771]) ).
fof(f773,plain,
( sQ56_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f772]) ).
fof(f806,plain,
( ~ sQ13_spl
| sk_c9 = multiply(inverse(sk_c11),sk_c10) ),
inference(paramodulation,[status(thm)],[f200,f368]) ).
fof(f808,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| sk_c9 = multiply(sk_c10,sk_c10) ),
inference(forward_demodulation,[status(thm)],[f131,f806]) ).
fof(f817,plain,
( sQ61_spl
| ~ sQ0_spl
| sk_c10 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f131,f726]) ).
fof(f848,plain,
( ~ sQ14_spl
| sk_c9 = multiply(inverse(sk_c2),sk_c10) ),
inference(paramodulation,[status(thm)],[f213,f368]) ).
fof(f850,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| sk_c9 = multiply(sk_c9,sk_c10) ),
inference(forward_demodulation,[status(thm)],[f226,f848]) ).
fof(f852,plain,
( sQ41_spl
| ~ sQ15_spl
| ~ sQ14_spl
| sk_c10 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f213,f354]) ).
fof(f890,plain,
( sQ21_spl
| ~ sQ0_spl
| ~ sQ13_spl
| sk_c9 != sk_c11 ),
inference(backward_demodulation,[status(thm)],[f808,f361]) ).
fof(f905,plain,
( ~ sQ14_spl
| ~ sQ43_spl
| ~ sQ15_spl
| sk_c10 != inverse(sk_c2)
| inverse(inverse(sk_c2)) != sk_c9 ),
inference(paramodulation,[status(thm)],[f213,f352]) ).
fof(f911,definition,
( sQ72_spl
<=> inverse(inverse(sk_c2)) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f913,plain,
( sQ72_spl
| inverse(inverse(sk_c2)) != sk_c9 ),
inference(component_clause,[status(thm)],[f911]) ).
fof(f914,definition,
( sQ73_spl
<=> sk_c10 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f916,plain,
( sQ73_spl
| sk_c10 != inverse(sk_c2) ),
inference(component_clause,[status(thm)],[f914]) ).
fof(f917,plain,
( ~ sQ14_spl
| ~ sQ43_spl
| ~ sQ15_spl
| ~ sQ73_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f905,f911,f914,f225,f348,f212]) ).
fof(f938,plain,
( sQ73_spl
| ~ sQ15_spl
| sk_c10 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f226,f916]) ).
fof(f939,plain,
( sQ72_spl
| ~ sQ15_spl
| inverse(sk_c9) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f226,f913]) ).
fof(f981,plain,
( sQ42_spl
| ~ sQ15_spl
| ~ sQ14_spl
| sk_c9 != sk_c11 ),
inference(backward_demodulation,[status(thm)],[f850,f353]) ).
fof(f982,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| sk_c10 = multiply(inverse(sk_c9),sk_c9) ),
inference(paramodulation,[status(thm)],[f850,f368]) ).
fof(f984,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| sk_c10 = identity ),
inference(forward_demodulation,[status(thm)],[f66,f982]) ).
fof(f985,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f984,f428]) ).
fof(f986,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f985]) ).
fof(f996,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ15_spl
| multiply(inverse(X0),X0) = sk_c10 ),
inference(backward_demodulation,[status(thm)],[f984,f66]) ).
fof(f998,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ15_spl
| multiply(sk_c10,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f984,f65]) ).
fof(f999,plain,
( sQ47_spl
| ~ sQ14_spl
| ~ sQ15_spl
| inverse(sk_c10) != sk_c10 ),
inference(backward_demodulation,[status(thm)],[f984,f393]) ).
fof(f1001,plain,
( sQ44_spl
| ~ sQ14_spl
| ~ sQ15_spl
| sk_c10 != sk_c9 ),
inference(backward_demodulation,[status(thm)],[f984,f383]) ).
fof(f1002,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ14_spl
| ~ sQ15_spl
| sk_c9 = sk_c10 ),
inference(backward_demodulation,[status(thm)],[f998,f808]) ).
fof(f1007,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ14_spl
| ~ sQ15_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f1002,f388,f225,f212,f130,f199]) ).
fof(f1019,plain,
( sQ44_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f1001,f388,f225,f212,f381]) ).
fof(f1020,plain,
( sQ73_spl
| ~ sQ15_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f938,f388,f225,f914]) ).
fof(f1021,plain,
( sQ61_spl
| ~ sQ0_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f817,f388,f130,f724]) ).
fof(f1028,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ46_spl
| multiply(sk_c9,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f389,f998]) ).
fof(f1042,plain,
( ~ sQ0_spl
| ~ sQ46_spl
| inverse(sk_c11) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f389,f131]) ).
fof(f1046,plain,
( sQ53_spl
| ~ sQ46_spl
| sk_c11 != sk_c9 ),
inference(backward_demodulation,[status(thm)],[f389,f435]) ).
fof(f1049,plain,
( sQ47_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ46_spl
| inverse(sk_c9) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f389,f999]) ).
fof(f1050,plain,
( sQ47_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ46_spl
| inverse(sk_c9) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f389,f1049]) ).
fof(f1051,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ46_spl
| multiply(inverse(X0),X0) = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f389,f996]) ).
fof(f1062,plain,
( ~ sQ0_spl
| ~ sQ46_spl
| ~ sQ14_spl
| ~ sQ15_spl
| multiply(sk_c9,sk_c11) = sk_c9 ),
inference(paramodulation,[status(thm)],[f1042,f1051]) ).
fof(f1064,plain,
( ~ sQ0_spl
| ~ sQ46_spl
| ~ sQ14_spl
| ~ sQ15_spl
| sk_c11 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1028,f1062]) ).
fof(f1065,plain,
( ~ sQ0_spl
| ~ sQ46_spl
| ~ sQ14_spl
| ~ sQ15_spl
| sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1064,f401]) ).
fof(f1066,plain,
( ~ sQ0_spl
| ~ sQ46_spl
| ~ sQ14_spl
| ~ sQ15_spl
| sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1065]) ).
fof(f1068,plain,
( sQ53_spl
| ~ sQ46_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f1046,f399,f388,f433]) ).
fof(f1069,plain,
( sQ42_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f981,f399,f212,f225,f345]) ).
fof(f1070,plain,
( sQ21_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f890,f399,f199,f130,f275]) ).
fof(f1077,plain,
( sQ41_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f852,f433,f212,f225,f342]) ).
fof(f1099,plain,
( ~ sQ0_spl
| ~ sQ46_spl
| ~ sQ14_spl
| ~ sQ15_spl
| inverse(sk_c9) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f1064,f1042]) ).
fof(f1101,plain,
( ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ46_spl
| ~ sQ14_spl
| ~ sQ15_spl
| inverse(sk_c1) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f1064,f187]) ).
fof(f1102,plain,
( ~ sQ0_spl
| ~ sQ46_spl
| ~ sQ14_spl
| ~ sQ15_spl
| sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1099,f939]) ).
fof(f1103,plain,
( ~ sQ0_spl
| ~ sQ46_spl
| ~ sQ14_spl
| ~ sQ15_spl
| sQ72_spl ),
inference(contradiction_clause,[status(thm)],[f1102]) ).
fof(f1114,plain,
( ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ46_spl
| ~ sQ14_spl
| ~ sQ15_spl
| multiply(sk_c9,sk_c1) = sk_c9 ),
inference(paramodulation,[status(thm)],[f1101,f1051]) ).
fof(f1116,plain,
( ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ46_spl
| ~ sQ14_spl
| ~ sQ15_spl
| sk_c1 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1028,f1114]) ).
fof(f1140,plain,
( ~ sQ0_spl
| ~ sQ46_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ12_spl
| inverse(sk_c1) = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1116,f1099]) ).
fof(f1141,plain,
( ~ sQ0_spl
| ~ sQ46_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ12_spl
| inverse(sk_c1) = sk_c1 ),
inference(forward_demodulation,[status(thm)],[f1116,f1140]) ).
fof(f1143,plain,
( sQ47_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ46_spl
| ~ sQ12_spl
| ~ sQ0_spl
| inverse(sk_c1) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1116,f1050]) ).
fof(f1144,plain,
( sQ47_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ46_spl
| ~ sQ12_spl
| ~ sQ0_spl
| sk_c1 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f1141,f1143]) ).
fof(f1145,plain,
( sQ47_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ46_spl
| ~ sQ12_spl
| ~ sQ0_spl
| sk_c1 != sk_c1 ),
inference(forward_demodulation,[status(thm)],[f1116,f1144]) ).
fof(f1146,plain,
( sQ47_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ46_spl
| ~ sQ12_spl
| ~ sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1145]) ).
fof(f1147,plain,
( sQ47_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ46_spl
| ~ sQ12_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1146]) ).
fof(f1148,plain,
$false,
inference(sat_refutation,[status(thm)],[f136,f140,f144,f148,f152,f156,f176,f177,f189,f190,f191,f192,f202,f203,f204,f205,f206,f207,f215,f216,f217,f218,f219,f220,f228,f229,f230,f231,f232,f233,f250,f351,f387,f394,f398,f407,f432,f439,f443,f444,f446,f497,f583,f621,f622,f648,f668,f698,f713,f761,f768,f773,f917,f986,f1007,f1019,f1020,f1021,f1066,f1068,f1069,f1070,f1077,f1103,f1147]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP373-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.51 % Computer : n007.cluster.edu
% 0.09/0.51 % Model : x86_64 x86_64
% 0.09/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.51 % Memory : 8046.5625MB
% 0.09/0.51 % OS : Linux 6.8.0-71-generic
% 0.09/0.51 % CPULimit : 300
% 0.09/0.51 % WCLimit : 300
% 0.09/0.52 % DateTime : Sun Sep 20 20:08:06 UTC 2026
% 0.09/0.52 % CPUTime :
% 0.09/0.53 % Drodi V4.1.1
% 0.09/0.56 % Refutation found
% 0.09/0.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.59 % Elapsed time: 0.065541 seconds
% 0.09/0.59 % CPU time: 0.233201 seconds
% 0.09/0.59 % Total memory used: 106.961 MB
% 0.09/0.59 % Net memory used: 106.843 MB
%------------------------------------------------------------------------------