%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP308-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 12:33:22 PM UTC 2026
% Result : Unsatisfiable 0.15s 5.42s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 70
% Syntax : Number of formulae : 325 ( 12 unt; 30 def)
% Number of atoms : 1126 ( 373 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1497 ( 696 ~; 771 |; 0 &)
% ( 30 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 32 ( 30 usr; 31 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : multiply(identity,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : multiply(inverse(X),X) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c6
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c6
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c8,sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c8,sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c6
| multiply(sk_c8,sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c8,sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c8,sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c8,sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c6
| multiply(sk_c1,sk_c8) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c1,sk_c8) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c1,sk_c8) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
! [X3,X4,X1,X2,X5] :
( multiply(X5,sk_c8) != sk_c6
| inverse(X5) != sk_c6
| inverse(X2) != sk_c7
| multiply(X2,sk_c7) != sk_c6
| inverse(X1) != sk_c8
| multiply(X1,sk_c8) != sk_c7
| inverse(X4) != sk_c8
| multiply(X4,sk_c8) != X3
| multiply(sk_c8,X3) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c8
| inverse(sk_c8) != sk_c6
| multiply(sk_c8,sk_c7) != sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,plain,
! [X0] : multiply(identity,X0) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f42,plain,
! [X0] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f43,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f44,plain,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f45,plain,
( inverse(sk_c3) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f46,plain,
( multiply(sk_c4,sk_c7) = sk_c6
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f47,plain,
( inverse(sk_c4) = sk_c7
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f48,plain,
( inverse(sk_c5) = sk_c6
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f49,plain,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f50,plain,
( multiply(sk_c3,sk_c8) = sk_c7
| inverse(sk_c8) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f51,plain,
( inverse(sk_c3) = sk_c8
| inverse(sk_c8) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f52,plain,
( multiply(sk_c4,sk_c7) = sk_c6
| inverse(sk_c8) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f53,plain,
( inverse(sk_c4) = sk_c7
| inverse(sk_c8) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f54,plain,
( inverse(sk_c5) = sk_c6
| inverse(sk_c8) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f55,plain,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c8) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f56,plain,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f57,plain,
( inverse(sk_c3) = sk_c8
| multiply(sk_c6,sk_c7) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f58,plain,
( multiply(sk_c4,sk_c7) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f59,plain,
( inverse(sk_c4) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f60,plain,
( inverse(sk_c5) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f61,plain,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f62,plain,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c8,sk_c2) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f63,plain,
( inverse(sk_c3) = sk_c8
| multiply(sk_c8,sk_c2) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f64,plain,
( multiply(sk_c4,sk_c7) = sk_c6
| multiply(sk_c8,sk_c2) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f65,plain,
( inverse(sk_c4) = sk_c7
| multiply(sk_c8,sk_c2) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f66,plain,
( inverse(sk_c5) = sk_c6
| multiply(sk_c8,sk_c2) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f67,plain,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c8,sk_c2) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f68,plain,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f69,plain,
( inverse(sk_c3) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f70,plain,
( multiply(sk_c4,sk_c7) = sk_c6
| multiply(sk_c1,sk_c8) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f71,plain,
( inverse(sk_c4) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f72,plain,
( inverse(sk_c5) = sk_c6
| multiply(sk_c1,sk_c8) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f73,plain,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c1,sk_c8) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f74,plain,
( multiply(sk_c3,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f75,plain,
( inverse(sk_c3) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f76,plain,
( multiply(sk_c4,sk_c7) = sk_c6
| inverse(sk_c1) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f77,plain,
( inverse(sk_c4) = sk_c7
| inverse(sk_c1) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f78,plain,
( inverse(sk_c5) = sk_c6
| inverse(sk_c1) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f79,plain,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f80,plain,
! [X5] :
( multiply(X5,sk_c8) != sk_c6
| inverse(X5) != sk_c6
| ! [X2] :
( inverse(X2) != sk_c7
| multiply(X2,sk_c7) != sk_c6
| ! [X1] :
( inverse(X1) != sk_c8
| multiply(X1,sk_c8) != sk_c7
| ! [X4] :
( inverse(X4) != sk_c8
| ! [X3] :
( multiply(X4,sk_c8) != X3
| multiply(sk_c8,X3) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c8
| inverse(sk_c8) != sk_c6
| multiply(sk_c8,sk_c7) != sk_c6 ) ) ) ) ),
inference(miniscoping,[status(thm)],[f40]) ).
fof(f81,plain,
! [X0,X1,X2,X3,X4] :
( multiply(X4,sk_c8) != sk_c6
| inverse(X4) != sk_c6
| inverse(X3) != sk_c7
| multiply(X3,sk_c7) != sk_c6
| inverse(X2) != sk_c8
| multiply(X2,sk_c8) != sk_c7
| inverse(X1) != sk_c8
| multiply(X1,sk_c8) != X0
| multiply(sk_c8,X0) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c8
| inverse(sk_c8) != sk_c6
| multiply(sk_c8,sk_c7) != sk_c6 ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f82,definition,
( sQ0_spl
<=> multiply(sk_c8,sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f83,plain,
( ~ sQ0_spl
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(component_clause,[status(thm)],[f82]) ).
fof(f84,plain,
( sQ0_spl
| multiply(sk_c8,sk_c7) != sk_c6 ),
inference(component_clause,[status(thm)],[f82]) ).
fof(f85,definition,
( sQ1_spl
<=> multiply(sk_c3,sk_c8) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f86,plain,
( ~ sQ1_spl
| multiply(sk_c3,sk_c8) = sk_c7 ),
inference(component_clause,[status(thm)],[f85]) ).
fof(f88,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f44,f82,f85]) ).
fof(f89,definition,
( sQ2_spl
<=> inverse(sk_c3) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f90,plain,
( ~ sQ2_spl
| inverse(sk_c3) = sk_c8 ),
inference(component_clause,[status(thm)],[f89]) ).
fof(f92,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f45,f82,f89]) ).
fof(f93,definition,
( sQ3_spl
<=> multiply(sk_c4,sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f94,plain,
( ~ sQ3_spl
| multiply(sk_c4,sk_c7) = sk_c6 ),
inference(component_clause,[status(thm)],[f93]) ).
fof(f96,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f46,f82,f93]) ).
fof(f97,definition,
( sQ4_spl
<=> inverse(sk_c4) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f98,plain,
( ~ sQ4_spl
| inverse(sk_c4) = sk_c7 ),
inference(component_clause,[status(thm)],[f97]) ).
fof(f100,plain,
( sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f47,f82,f97]) ).
fof(f101,definition,
( sQ5_spl
<=> inverse(sk_c5) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f102,plain,
( ~ sQ5_spl
| inverse(sk_c5) = sk_c6 ),
inference(component_clause,[status(thm)],[f101]) ).
fof(f104,plain,
( sQ5_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f48,f82,f101]) ).
fof(f105,definition,
( sQ6_spl
<=> multiply(sk_c5,sk_c8) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f106,plain,
( ~ sQ6_spl
| multiply(sk_c5,sk_c8) = sk_c6 ),
inference(component_clause,[status(thm)],[f105]) ).
fof(f108,plain,
( sQ6_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f49,f82,f105]) ).
fof(f109,definition,
( sQ7_spl
<=> inverse(sk_c8) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f110,plain,
( ~ sQ7_spl
| inverse(sk_c8) = sk_c6 ),
inference(component_clause,[status(thm)],[f109]) ).
fof(f111,plain,
( sQ7_spl
| inverse(sk_c8) != sk_c6 ),
inference(component_clause,[status(thm)],[f109]) ).
fof(f112,plain,
( sQ1_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f50,f109,f85]) ).
fof(f113,plain,
( sQ2_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f51,f109,f89]) ).
fof(f114,plain,
( sQ3_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f52,f109,f93]) ).
fof(f115,plain,
( sQ4_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f53,f109,f97]) ).
fof(f116,plain,
( sQ5_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f54,f109,f101]) ).
fof(f117,plain,
( sQ6_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f55,f109,f105]) ).
fof(f118,definition,
( sQ8_spl
<=> multiply(sk_c6,sk_c7) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f119,plain,
( ~ sQ8_spl
| multiply(sk_c6,sk_c7) = sk_c8 ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f120,plain,
( sQ8_spl
| multiply(sk_c6,sk_c7) != sk_c8 ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f121,plain,
( sQ1_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f56,f118,f85]) ).
fof(f122,plain,
( sQ2_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f57,f118,f89]) ).
fof(f123,plain,
( sQ3_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f58,f118,f93]) ).
fof(f124,plain,
( sQ4_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f59,f118,f97]) ).
fof(f125,plain,
( sQ5_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f60,f118,f101]) ).
fof(f126,plain,
( sQ6_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f61,f118,f105]) ).
fof(f127,definition,
( sQ9_spl
<=> multiply(sk_c8,sk_c2) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f128,plain,
( ~ sQ9_spl
| multiply(sk_c8,sk_c2) = sk_c7 ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f129,plain,
( sQ9_spl
| multiply(sk_c8,sk_c2) != sk_c7 ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f130,plain,
( sQ1_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f62,f127,f85]) ).
fof(f131,plain,
( sQ2_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f63,f127,f89]) ).
fof(f132,plain,
( sQ3_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f64,f127,f93]) ).
fof(f133,plain,
( sQ4_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f65,f127,f97]) ).
fof(f134,plain,
( sQ5_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f66,f127,f101]) ).
fof(f135,plain,
( sQ6_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f67,f127,f105]) ).
fof(f136,definition,
( sQ10_spl
<=> multiply(sk_c1,sk_c8) = sk_c2 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f137,plain,
( ~ sQ10_spl
| multiply(sk_c1,sk_c8) = sk_c2 ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f139,plain,
( sQ1_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f68,f136,f85]) ).
fof(f140,plain,
( sQ2_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f69,f136,f89]) ).
fof(f141,plain,
( sQ3_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f70,f136,f93]) ).
fof(f142,plain,
( sQ4_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f71,f136,f97]) ).
fof(f143,plain,
( sQ5_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f72,f136,f101]) ).
fof(f144,plain,
( sQ6_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f73,f136,f105]) ).
fof(f145,definition,
( sQ11_spl
<=> inverse(sk_c1) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f146,plain,
( ~ sQ11_spl
| inverse(sk_c1) = sk_c8 ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f148,plain,
( sQ1_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f74,f145,f85]) ).
fof(f149,plain,
( sQ2_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f75,f145,f89]) ).
fof(f150,plain,
( sQ3_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f76,f145,f93]) ).
fof(f151,plain,
( sQ4_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f77,f145,f97]) ).
fof(f152,plain,
( sQ5_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f78,f145,f101]) ).
fof(f153,plain,
( sQ6_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f79,f145,f105]) ).
fof(f154,definition,
! [X0,X1] :
( sQ12_spl
<=> ( inverse(X1) != sk_c8
| multiply(X1,sk_c8) != X0
| multiply(sk_c8,X0) != sk_c7 ) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f155,plain,
! [X0,X1] :
( ~ sQ12_spl
| inverse(X1) != sk_c8
| multiply(X1,sk_c8) != X0
| multiply(sk_c8,X0) != sk_c7 ),
inference(component_clause,[status(thm)],[f154]) ).
fof(f157,definition,
! [X2] :
( sQ13_spl
<=> ( inverse(X2) != sk_c8
| multiply(X2,sk_c8) != sk_c7 ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f158,plain,
! [X0] :
( ~ sQ13_spl
| inverse(X0) != sk_c8
| multiply(X0,sk_c8) != sk_c7 ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f160,definition,
! [X3] :
( sQ14_spl
<=> ( inverse(X3) != sk_c7
| multiply(X3,sk_c7) != sk_c6 ) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f161,plain,
! [X0] :
( ~ sQ14_spl
| inverse(X0) != sk_c7
| multiply(X0,sk_c7) != sk_c6 ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f163,definition,
! [X4] :
( sQ15_spl
<=> ( multiply(X4,sk_c8) != sk_c6
| inverse(X4) != sk_c6 ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f164,plain,
! [X0] :
( ~ sQ15_spl
| multiply(X0,sk_c8) != sk_c6
| inverse(X0) != sk_c6 ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f166,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f81,f82,f109,f118,f154,f157,f160,f163]) ).
fof(f175,plain,
( ~ sQ5_spl
| multiply(sk_c6,sk_c5) = identity ),
inference(paramodulation,[status(thm)],[f102,f42]) ).
fof(f176,plain,
( ~ sQ11_spl
| multiply(sk_c8,sk_c1) = identity ),
inference(paramodulation,[status(thm)],[f146,f42]) ).
fof(f177,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f42,f43]) ).
fof(f178,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f41,f177]) ).
fof(f184,plain,
( ~ sQ6_spl
| ~ sQ15_spl
| inverse(sk_c5) != sk_c6 ),
inference(resolution,[status(thm)],[f164,f106]) ).
fof(f185,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| sk_c7 != sk_c6
| inverse(sk_c3) != sk_c6 ),
inference(paramodulation,[status(thm)],[f86,f164]) ).
fof(f188,plain,
( ~ sQ15_spl
| sk_c8 != sk_c6
| inverse(identity) != sk_c6 ),
inference(paramodulation,[status(thm)],[f41,f164]) ).
fof(f189,plain,
! [X0,X1] :
( ~ sQ15_spl
| multiply(X0,multiply(X1,sk_c8)) != sk_c6
| inverse(multiply(X0,X1)) != sk_c6 ),
inference(paramodulation,[status(thm)],[f43,f164]) ).
fof(f191,plain,
( ~ sQ6_spl
| ~ sQ15_spl
| ~ sQ5_spl
| sk_c6 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f102,f184]) ).
fof(f192,plain,
( ~ sQ6_spl
| ~ sQ15_spl
| ~ sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f191]) ).
fof(f193,plain,
( ~ sQ6_spl
| ~ sQ15_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f192]) ).
fof(f195,plain,
( ~ sQ3_spl
| ~ sQ14_spl
| inverse(sk_c4) != sk_c7 ),
inference(resolution,[status(thm)],[f161,f94]) ).
fof(f198,plain,
( ~ sQ14_spl
| inverse(identity) != sk_c7
| sk_c7 != sk_c6 ),
inference(paramodulation,[status(thm)],[f41,f161]) ).
fof(f200,plain,
( ~ sQ3_spl
| ~ sQ14_spl
| ~ sQ4_spl
| sk_c7 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f98,f195]) ).
fof(f201,plain,
( ~ sQ3_spl
| ~ sQ14_spl
| ~ sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f200]) ).
fof(f202,plain,
( ~ sQ3_spl
| ~ sQ14_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f201]) ).
fof(f203,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| inverse(sk_c3) != sk_c8 ),
inference(resolution,[status(thm)],[f158,f86]) ).
fof(f207,plain,
( ~ sQ13_spl
| inverse(identity) != sk_c8
| sk_c8 != sk_c7 ),
inference(paramodulation,[status(thm)],[f41,f158]) ).
fof(f209,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| inverse(sk_c1) != sk_c8
| sk_c2 != sk_c7 ),
inference(paramodulation,[status(thm)],[f137,f158]) ).
fof(f210,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ2_spl
| sk_c8 != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f90,f203]) ).
fof(f211,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f210]) ).
fof(f212,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f211]) ).
fof(f225,definition,
( sQ18_spl
<=> sk_c7 = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f227,plain,
( sQ18_spl
| sk_c7 != sk_c7 ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f232,plain,
( sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f227]) ).
fof(f233,plain,
sQ18_spl,
inference(contradiction_clause,[status(thm)],[f232]) ).
fof(f235,definition,
( sQ20_spl
<=> sk_c6 = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f237,plain,
( sQ20_spl
| sk_c6 != sk_c7 ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f246,definition,
( sQ23_spl
<=> sk_c8 = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f248,plain,
( sQ23_spl
| sk_c8 != sk_c7 ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f249,definition,
( sQ24_spl
<=> inverse(identity) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f251,plain,
( sQ24_spl
| inverse(identity) != sk_c8 ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,plain,
( ~ sQ13_spl
| ~ sQ24_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f207,f246,f249,f157]) ).
fof(f253,definition,
( sQ25_spl
<=> sk_c2 = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f256,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f209,f253,f145,f157,f136]) ).
fof(f258,definition,
( sQ26_spl
<=> sk_c6 = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f260,plain,
( sQ26_spl
| sk_c6 != sk_c6 ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f269,definition,
( sQ29_spl
<=> inverse(identity) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f272,plain,
( ~ sQ14_spl
| ~ sQ29_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f198,f235,f269,f160]) ).
fof(f273,plain,
( sQ26_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f260]) ).
fof(f274,plain,
sQ26_spl,
inference(contradiction_clause,[status(thm)],[f273]) ).
fof(f280,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ12_spl
| inverse(X0) != sk_c8
| multiply(X0,sk_c8) != sk_c7
| sk_c6 != sk_c7 ),
inference(paramodulation,[status(thm)],[f83,f155]) ).
fof(f283,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| sQ13_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f280,f235,f157,f154,f82]) ).
fof(f290,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| inverse(sk_c8) != sk_c7
| sk_c6 != sk_c6 ),
inference(paramodulation,[status(thm)],[f83,f161]) ).
fof(f293,definition,
( sQ30_spl
<=> sk_c8 = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f294,plain,
( ~ sQ30_spl
| sk_c8 = sk_c6 ),
inference(component_clause,[status(thm)],[f293]) ).
fof(f295,plain,
( sQ30_spl
| sk_c8 != sk_c6 ),
inference(component_clause,[status(thm)],[f293]) ).
fof(f302,definition,
( sQ32_spl
<=> inverse(sk_c8) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f305,plain,
( ~ sQ0_spl
| ~ sQ14_spl
| ~ sQ32_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f290,f258,f302,f160,f82]) ).
fof(f306,definition,
( sQ33_spl
<=> inverse(sk_c3) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f309,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f185,f306,f235,f163,f85]) ).
fof(f314,definition,
( sQ35_spl
<=> inverse(identity) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f317,plain,
( ~ sQ15_spl
| ~ sQ30_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f188,f314,f293,f163]) ).
fof(f318,definition,
( sQ36_spl
<=> inverse(sk_c1) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f320,plain,
( sQ36_spl
| inverse(sk_c1) != sk_c6 ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f352,plain,
( ~ sQ6_spl
| sk_c8 = multiply(inverse(sk_c5),sk_c6) ),
inference(paramodulation,[status(thm)],[f106,f178]) ).
fof(f355,plain,
( ~ sQ3_spl
| sk_c7 = multiply(inverse(sk_c4),sk_c6) ),
inference(paramodulation,[status(thm)],[f94,f178]) ).
fof(f356,plain,
( ~ sQ1_spl
| sk_c8 = multiply(inverse(sk_c3),sk_c7) ),
inference(paramodulation,[status(thm)],[f86,f178]) ).
fof(f359,plain,
! [X0] : X0 = multiply(inverse(identity),X0),
inference(paramodulation,[status(thm)],[f41,f178]) ).
fof(f367,plain,
( ~ sQ10_spl
| sk_c8 = multiply(inverse(sk_c1),sk_c2) ),
inference(paramodulation,[status(thm)],[f137,f178]) ).
fof(f369,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| sk_c8 = multiply(sk_c6,sk_c6) ),
inference(forward_demodulation,[status(thm)],[f102,f352]) ).
fof(f370,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| sk_c7 = multiply(sk_c7,sk_c6) ),
inference(forward_demodulation,[status(thm)],[f98,f355]) ).
fof(f371,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| sk_c8 = multiply(sk_c8,sk_c7) ),
inference(forward_demodulation,[status(thm)],[f90,f356]) ).
fof(f378,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| sk_c8 = multiply(sk_c8,sk_c2) ),
inference(forward_demodulation,[status(thm)],[f146,f367]) ).
fof(f411,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| sk_c6 = multiply(inverse(sk_c7),sk_c7) ),
inference(paramodulation,[status(thm)],[f370,f178]) ).
fof(f415,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| sk_c6 = identity ),
inference(forward_demodulation,[status(thm)],[f42,f411]) ).
fof(f429,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c8 = multiply(sk_c6,identity) ),
inference(backward_demodulation,[status(thm)],[f415,f369]) ).
fof(f432,plain,
( ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(identity,sk_c5) = identity ),
inference(backward_demodulation,[status(thm)],[f415,f175]) ).
fof(f434,plain,
( sQ8_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(identity,sk_c7) != sk_c8 ),
inference(backward_demodulation,[status(thm)],[f415,f120]) ).
fof(f436,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c4,sk_c7) = identity ),
inference(backward_demodulation,[status(thm)],[f415,f94]) ).
fof(f437,plain,
( ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ4_spl
| inverse(sk_c5) = identity ),
inference(backward_demodulation,[status(thm)],[f415,f102]) ).
fof(f438,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c8,sk_c7) = identity ),
inference(backward_demodulation,[status(thm)],[f415,f83]) ).
fof(f441,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c8 = multiply(identity,identity) ),
inference(forward_demodulation,[status(thm)],[f415,f429]) ).
fof(f442,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c8 = identity ),
inference(forward_demodulation,[status(thm)],[f41,f441]) ).
fof(f445,plain,
( ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c5 = identity ),
inference(forward_demodulation,[status(thm)],[f41,f432]) ).
fof(f446,plain,
( sQ8_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c7 != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f41,f434]) ).
fof(f458,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(identity,sk_c1) = identity ),
inference(backward_demodulation,[status(thm)],[f442,f176]) ).
fof(f466,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c1 = identity ),
inference(forward_demodulation,[status(thm)],[f41,f458]) ).
fof(f468,plain,
( sQ8_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ6_spl
| ~ sQ5_spl
| sk_c7 != identity ),
inference(forward_demodulation,[status(thm)],[f442,f446]) ).
fof(f473,plain,
( ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ4_spl
| inverse(identity) = identity ),
inference(forward_demodulation,[status(thm)],[f445,f437]) ).
fof(f477,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ6_spl
| ~ sQ5_spl
| multiply(identity,sk_c7) = identity ),
inference(forward_demodulation,[status(thm)],[f442,f438]) ).
fof(f478,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ6_spl
| ~ sQ5_spl
| sk_c7 = identity ),
inference(forward_demodulation,[status(thm)],[f41,f477]) ).
fof(f479,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ6_spl
| ~ sQ5_spl
| sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f478,f468]) ).
fof(f480,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ6_spl
| ~ sQ5_spl
| sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f479]) ).
fof(f481,plain,
( ~ sQ8_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(identity,sk_c7) = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f415,f119]) ).
fof(f482,plain,
( ~ sQ8_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c7 = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f41,f481]) ).
fof(f498,plain,
( sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ4_spl
| inverse(identity) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f442,f111]) ).
fof(f499,plain,
( sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ4_spl
| identity != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f473,f498]) ).
fof(f500,plain,
( sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ4_spl
| identity != identity ),
inference(forward_demodulation,[status(thm)],[f415,f499]) ).
fof(f501,plain,
( sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f500]) ).
fof(f502,plain,
( sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f501]) ).
fof(f517,plain,
( sQ36_spl
| ~ sQ11_spl
| sk_c8 != sk_c6 ),
inference(backward_demodulation,[status(thm)],[f146,f320]) ).
fof(f531,plain,
! [X0] :
( ~ sQ15_spl
| sk_c8 != sk_c6
| inverse(multiply(inverse(X0),X0)) != sk_c6 ),
inference(paramodulation,[status(thm)],[f178,f189]) ).
fof(f540,definition,
! [X0] :
( sQ38_spl
<=> inverse(multiply(inverse(X0),X0)) != sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f543,plain,
( ~ sQ15_spl
| ~ sQ30_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f531,f540,f293,f163]) ).
fof(f551,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c8 = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f371,f83]) ).
fof(f552,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| sk_c7 = multiply(inverse(sk_c8),sk_c8) ),
inference(paramodulation,[status(thm)],[f371,f178]) ).
fof(f554,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f551,f295]) ).
fof(f555,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f554]) ).
fof(f556,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| sk_c7 = identity ),
inference(forward_demodulation,[status(thm)],[f42,f552]) ).
fof(f557,plain,
( sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c8 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f371,f84]) ).
fof(f561,plain,
( sQ8_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl
| identity != identity ),
inference(forward_demodulation,[status(thm)],[f556,f468]) ).
fof(f562,plain,
( sQ8_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f561]) ).
fof(f563,plain,
( sQ8_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f562]) ).
fof(f576,plain,
( ~ sQ9_spl
| sk_c2 = multiply(inverse(sk_c8),sk_c7) ),
inference(paramodulation,[status(thm)],[f128,f178]) ).
fof(f578,plain,
( ~ sQ9_spl
| ~ sQ7_spl
| sk_c2 = multiply(sk_c6,sk_c7) ),
inference(forward_demodulation,[status(thm)],[f110,f576]) ).
fof(f579,plain,
( ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| sk_c2 = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f119,f578]) ).
fof(f583,plain,
( ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| multiply(sk_c8,sk_c8) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f579,f128]) ).
fof(f584,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| multiply(sk_c1,sk_c8) = sk_c8 ),
inference(backward_demodulation,[status(thm)],[f579,f137]) ).
fof(f585,plain,
( ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ15_spl
| sk_c7 != sk_c6
| inverse(sk_c8) != sk_c6 ),
inference(paramodulation,[status(thm)],[f583,f164]) ).
fof(f588,plain,
( ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ15_spl
| ~ sQ20_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f585,f109,f235,f163,f118,f127]) ).
fof(f590,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ15_spl
| sk_c8 != sk_c6
| inverse(sk_c1) != sk_c6 ),
inference(paramodulation,[status(thm)],[f584,f164]) ).
fof(f593,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ15_spl
| ~ sQ30_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f590,f318,f293,f163,f118,f109,f127,f136]) ).
fof(f599,plain,
( ~ sQ15_spl
| sk_c8 != sk_c6
| inverse(inverse(identity)) != sk_c6 ),
inference(paramodulation,[status(thm)],[f359,f164]) ).
fof(f602,definition,
( sQ40_spl
<=> inverse(inverse(identity)) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f605,plain,
( ~ sQ15_spl
| ~ sQ30_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f599,f602,f293,f163]) ).
fof(f606,plain,
( ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ11_spl
| sk_c8 = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f607,f583]) ).
fof(f607,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| sk_c8 = multiply(sk_c8,sk_c8) ),
inference(forward_demodulation,[status(thm)],[f579,f378]) ).
fof(f608,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ15_spl
| sk_c8 != sk_c6
| inverse(sk_c8) != sk_c6 ),
inference(paramodulation,[status(thm)],[f607,f164]) ).
fof(f609,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| sk_c8 = multiply(inverse(sk_c8),sk_c8) ),
inference(paramodulation,[status(thm)],[f607,f178]) ).
fof(f611,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ15_spl
| ~ sQ30_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f608,f109,f293,f163,f118,f127,f145,f136]) ).
fof(f612,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| sk_c8 = identity ),
inference(forward_demodulation,[status(thm)],[f42,f609]) ).
fof(f613,plain,
( ~ sQ0_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ11_spl
| multiply(sk_c8,sk_c8) = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f606,f83]) ).
fof(f614,plain,
( sQ20_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ11_spl
| sk_c6 != sk_c8 ),
inference(backward_demodulation,[status(thm)],[f606,f237]) ).
fof(f616,plain,
( ~ sQ0_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ11_spl
| sk_c8 = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f607,f613]) ).
fof(f617,plain,
( ~ sQ0_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ11_spl
| sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f616,f517]) ).
fof(f618,plain,
( ~ sQ0_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ11_spl
| sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f617]) ).
fof(f625,plain,
( sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f557,f293,f89,f85,f82]) ).
fof(f695,plain,
( ~ sQ0_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ11_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f616,f293,f145,f136,f118,f109,f127,f82]) ).
fof(f702,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ11_spl
| inverse(X0) != sk_c7
| multiply(X0,sk_c8) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f606,f161]) ).
fof(f703,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ11_spl
| inverse(X0) != sk_c8
| multiply(X0,sk_c8) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f606,f702]) ).
fof(f713,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ14_spl
| ~ sQ11_spl
| inverse(sk_c1) != sk_c8
| sk_c8 != sk_c6 ),
inference(paramodulation,[status(thm)],[f584,f703]) ).
fof(f723,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ14_spl
| ~ sQ11_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f713,f293,f145,f160,f118,f109,f127,f136]) ).
fof(f740,plain,
( ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ11_spl
| identity = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f612,f606]) ).
fof(f744,plain,
( ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ8_spl
| inverse(identity) = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f612,f110]) ).
fof(f774,plain,
( sQ20_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f614,f293,f145,f136,f118,f109,f127,f235]) ).
fof(f777,plain,
( ~ sQ30_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| identity = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f612,f294]) ).
fof(f826,plain,
( ~ sQ8_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ6_spl
| ~ sQ5_spl
| sk_c7 = identity ),
inference(forward_demodulation,[status(thm)],[f442,f482]) ).
fof(f829,plain,
( sQ30_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ4_spl
| identity != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f442,f295]) ).
fof(f832,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| inverse(sk_c4) = identity ),
inference(forward_demodulation,[status(thm)],[f556,f98]) ).
fof(f837,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| multiply(sk_c4,identity) = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f556,f94]) ).
fof(f838,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| identity = multiply(inverse(sk_c4),sk_c6) ),
inference(paramodulation,[status(thm)],[f837,f178]) ).
fof(f840,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| identity = multiply(identity,sk_c6) ),
inference(forward_demodulation,[status(thm)],[f832,f838]) ).
fof(f841,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| identity = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f41,f840]) ).
fof(f843,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| identity = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f844,f837]) ).
fof(f844,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| multiply(sk_c4,identity) = identity ),
inference(forward_demodulation,[status(thm)],[f556,f436]) ).
fof(f867,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(identity,sk_c8) = sk_c2 ),
inference(forward_demodulation,[status(thm)],[f466,f137]) ).
fof(f868,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c8 = sk_c2 ),
inference(forward_demodulation,[status(thm)],[f41,f867]) ).
fof(f869,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ4_spl
| identity = sk_c2 ),
inference(forward_demodulation,[status(thm)],[f442,f868]) ).
fof(f870,plain,
( sQ9_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(identity,sk_c2) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f442,f129]) ).
fof(f871,plain,
( sQ9_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c2 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f41,f870]) ).
fof(f872,plain,
( sQ9_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ11_spl
| identity != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f869,f871]) ).
fof(f873,plain,
( sQ9_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ1_spl
| ~ sQ2_spl
| identity != identity ),
inference(forward_demodulation,[status(thm)],[f556,f872]) ).
fof(f874,plain,
( sQ9_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ1_spl
| ~ sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f873]) ).
fof(f875,plain,
( sQ9_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ1_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f874]) ).
fof(f882,plain,
( sQ23_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ11_spl
| sk_c8 != identity ),
inference(backward_demodulation,[status(thm)],[f740,f248]) ).
fof(f889,plain,
( ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ30_spl
| inverse(identity) = identity ),
inference(forward_demodulation,[status(thm)],[f777,f744]) ).
fof(f906,plain,
( sQ23_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ11_spl
| identity != identity ),
inference(forward_demodulation,[status(thm)],[f612,f882]) ).
fof(f907,plain,
( sQ23_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f906]) ).
fof(f908,plain,
( sQ23_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f907]) ).
fof(f909,plain,
( sQ24_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ30_spl
| identity != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f889,f251]) ).
fof(f910,plain,
( sQ24_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ30_spl
| identity != identity ),
inference(forward_demodulation,[status(thm)],[f612,f909]) ).
fof(f911,plain,
( sQ24_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ30_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f910]) ).
fof(f912,plain,
( sQ24_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f911]) ).
fof(f924,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| sQ30_spl
| ~ sQ6_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f841,f829]) ).
fof(f925,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| sQ30_spl
| ~ sQ6_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f924]) ).
fof(f994,plain,
( sQ20_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| identity != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f843,f237]) ).
fof(f995,plain,
( sQ20_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ8_spl
| ~ sQ6_spl
| ~ sQ5_spl
| identity != identity ),
inference(forward_demodulation,[status(thm)],[f826,f994]) ).
fof(f996,plain,
( sQ20_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ8_spl
| ~ sQ6_spl
| ~ sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f995]) ).
fof(f997,plain,
( sQ20_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ8_spl
| ~ sQ6_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f996]) ).
fof(f998,plain,
$false,
inference(sat_refutation,[status(thm)],[f88,f92,f96,f100,f104,f108,f112,f113,f114,f115,f116,f117,f121,f122,f123,f124,f125,f126,f130,f131,f132,f133,f134,f135,f139,f140,f141,f142,f143,f144,f148,f149,f150,f151,f152,f153,f166,f193,f202,f212,f233,f252,f256,f272,f274,f283,f305,f309,f317,f480,f502,f543,f555,f563,f588,f593,f605,f611,f618,f625,f695,f723,f774,f875,f908,f912,f925,f997]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP308-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n018.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Sun Sep 20 20:11:03 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.39 % Drodi V4.1.1
% 0.15/5.42 % Refutation found
% 0.15/5.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/5.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/5.45 % Elapsed time: 0.064280 seconds
% 0.15/5.45 % CPU time: 0.256957 seconds
% 0.15/5.45 % Total memory used: 106.219 MB
% 0.15/5.45 % Net memory used: 105.980 MB
%------------------------------------------------------------------------------