%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP293-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 12:33:20 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.41s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 62
% Syntax : Number of formulae : 315 ( 11 unt; 22 def)
% Number of atoms : 1316 ( 384 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 1906 ( 905 ~; 979 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 23 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 68 ( 68 !; 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_c7,sk_c8) = sk_c6
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c2,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| multiply(sk_c2,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
! [X3,X4,X1,X2,X5] :
( inverse(X5) != sk_c8
| multiply(X5,sk_c8) != X2
| multiply(sk_c8,X2) != sk_c7
| inverse(X1) != sk_c7
| multiply(X1,sk_c7) != sk_c8
| multiply(sk_c7,sk_c8) != sk_c6
| inverse(X4) != sk_c8
| multiply(X4,sk_c8) != sk_c6
| multiply(sk_c8,sk_c6) != sk_c7
| inverse(X3) != sk_c8
| multiply(X3,sk_c8) != sk_c7
| 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_c7,sk_c8) = sk_c6
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f45,plain,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f46,plain,
( inverse(sk_c3) = sk_c7
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f47,plain,
( multiply(sk_c8,sk_c5) = sk_c7
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f48,plain,
( multiply(sk_c4,sk_c8) = sk_c5
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f49,plain,
( inverse(sk_c4) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f50,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c1,sk_c8) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f51,plain,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f52,plain,
( inverse(sk_c3) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f53,plain,
( multiply(sk_c8,sk_c5) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f54,plain,
( multiply(sk_c4,sk_c8) = sk_c5
| multiply(sk_c1,sk_c8) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f55,plain,
( inverse(sk_c4) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f56,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f57,plain,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f58,plain,
( inverse(sk_c3) = sk_c7
| inverse(sk_c1) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f59,plain,
( multiply(sk_c8,sk_c5) = sk_c7
| inverse(sk_c1) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f60,plain,
( multiply(sk_c4,sk_c8) = sk_c5
| inverse(sk_c1) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f61,plain,
( inverse(sk_c4) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f62,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f63,plain,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f64,plain,
( inverse(sk_c3) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f65,plain,
( multiply(sk_c8,sk_c5) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f66,plain,
( multiply(sk_c4,sk_c8) = sk_c5
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f67,plain,
( inverse(sk_c4) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f68,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c2,sk_c8) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f69,plain,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f70,plain,
( inverse(sk_c3) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f71,plain,
( multiply(sk_c8,sk_c5) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f72,plain,
( multiply(sk_c4,sk_c8) = sk_c5
| multiply(sk_c2,sk_c8) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f73,plain,
( inverse(sk_c4) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f74,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f75,plain,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c2) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f76,plain,
( inverse(sk_c3) = sk_c7
| inverse(sk_c2) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f77,plain,
( multiply(sk_c8,sk_c5) = sk_c7
| inverse(sk_c2) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f78,plain,
( multiply(sk_c4,sk_c8) = sk_c5
| inverse(sk_c2) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f79,plain,
( inverse(sk_c4) = sk_c8
| inverse(sk_c2) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f80,plain,
! [X5] :
( inverse(X5) != sk_c8
| ! [X2] :
( multiply(X5,sk_c8) != X2
| multiply(sk_c8,X2) != sk_c7
| ! [X1] :
( inverse(X1) != sk_c7
| multiply(X1,sk_c7) != sk_c8
| multiply(sk_c7,sk_c8) != sk_c6
| ! [X4] :
( inverse(X4) != sk_c8
| multiply(X4,sk_c8) != sk_c6
| multiply(sk_c8,sk_c6) != sk_c7
| ! [X3] :
( inverse(X3) != sk_c8
| multiply(X3,sk_c8) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c6 ) ) ) ) ),
inference(miniscoping,[status(thm)],[f40]) ).
fof(f81,plain,
! [X0,X1,X2,X3,X4] :
( inverse(X4) != sk_c8
| multiply(X4,sk_c8) != X3
| multiply(sk_c8,X3) != sk_c7
| inverse(X2) != sk_c7
| multiply(X2,sk_c7) != sk_c8
| multiply(sk_c7,sk_c8) != sk_c6
| inverse(X1) != sk_c8
| multiply(X1,sk_c8) != sk_c6
| multiply(sk_c8,sk_c6) != sk_c7
| inverse(X0) != sk_c8
| multiply(X0,sk_c8) != sk_c7
| 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_c7,sk_c8) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f86,plain,
( ~ sQ1_spl
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(component_clause,[status(thm)],[f85]) ).
fof(f87,plain,
( sQ1_spl
| multiply(sk_c7,sk_c8) != sk_c6 ),
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
<=> multiply(sk_c3,sk_c7) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f90,plain,
( ~ sQ2_spl
| multiply(sk_c3,sk_c7) = 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
<=> inverse(sk_c3) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f94,plain,
( ~ sQ3_spl
| inverse(sk_c3) = sk_c7 ),
inference(component_clause,[status(thm)],[f93]) ).
fof(f95,plain,
( sQ3_spl
| inverse(sk_c3) != sk_c7 ),
inference(component_clause,[status(thm)],[f93]) ).
fof(f96,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f46,f82,f93]) ).
fof(f97,definition,
( sQ4_spl
<=> multiply(sk_c8,sk_c5) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f98,plain,
( ~ sQ4_spl
| multiply(sk_c8,sk_c5) = 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
<=> multiply(sk_c4,sk_c8) = sk_c5 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f102,plain,
( ~ sQ5_spl
| multiply(sk_c4,sk_c8) = sk_c5 ),
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
<=> inverse(sk_c4) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f106,plain,
( ~ sQ6_spl
| inverse(sk_c4) = sk_c8 ),
inference(component_clause,[status(thm)],[f105]) ).
fof(f108,plain,
( sQ6_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f49,f82,f105]) ).
fof(f109,definition,
( sQ7_spl
<=> multiply(sk_c1,sk_c8) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f110,plain,
( ~ sQ7_spl
| multiply(sk_c1,sk_c8) = sk_c7 ),
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
<=> inverse(sk_c1) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f119,plain,
( ~ sQ8_spl
| inverse(sk_c1) = 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_c6) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f128,plain,
( ~ sQ9_spl
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f129,plain,
( sQ9_spl
| multiply(sk_c8,sk_c6) != 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_c2,sk_c8) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f137,plain,
( ~ sQ10_spl
| multiply(sk_c2,sk_c8) = sk_c6 ),
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_c2) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f146,plain,
( ~ sQ11_spl
| inverse(sk_c2) = 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] :
( sQ12_spl
<=> ( inverse(X0) != sk_c8
| multiply(X0,sk_c8) != sk_c7 ) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f155,plain,
! [X0] :
( ~ sQ12_spl
| inverse(X0) != sk_c8
| multiply(X0,sk_c8) != sk_c7 ),
inference(component_clause,[status(thm)],[f154]) ).
fof(f157,definition,
! [X1] :
( sQ13_spl
<=> ( inverse(X1) != sk_c8
| multiply(X1,sk_c8) != sk_c6 ) ),
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_c6 ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f160,definition,
! [X2] :
( sQ14_spl
<=> ( inverse(X2) != sk_c7
| multiply(X2,sk_c7) != sk_c8 ) ),
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_c8 ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f163,definition,
! [X3,X4] :
( sQ15_spl
<=> ( inverse(X4) != sk_c8
| multiply(X4,sk_c8) != X3
| multiply(sk_c8,X3) != sk_c7 ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f164,plain,
! [X0,X1] :
( ~ sQ15_spl
| inverse(X1) != sk_c8
| multiply(X1,sk_c8) != X0
| multiply(sk_c8,X0) != sk_c7 ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f166,plain,
( sQ15_spl
| sQ14_spl
| ~ sQ1_spl
| sQ13_spl
| ~ sQ9_spl
| sQ12_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f81,f82,f154,f127,f157,f85,f160,f163]) ).
fof(f167,plain,
! [X0] :
( ~ sQ15_spl
| inverse(X0) != sk_c8
| multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 ),
inference(destructive_equality_resolution,[status(thm)],[f164]) ).
fof(f186,plain,
( ~ sQ5_spl
| ~ sQ15_spl
| inverse(sk_c4) != sk_c8
| multiply(sk_c8,sk_c5) != sk_c7 ),
inference(paramodulation,[status(thm)],[f102,f167]) ).
fof(f187,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| inverse(sk_c2) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c7 ),
inference(paramodulation,[status(thm)],[f137,f167]) ).
fof(f188,definition,
( sQ16_spl
<=> multiply(sk_c8,sk_c7) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f189,plain,
( ~ sQ16_spl
| multiply(sk_c8,sk_c7) = sk_c7 ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f190,plain,
( sQ16_spl
| multiply(sk_c8,sk_c7) != sk_c7 ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f192,plain,
( ~ sQ5_spl
| ~ sQ15_spl
| ~ sQ6_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f186,f97,f105,f163,f101]) ).
fof(f193,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| ~ sQ11_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f187,f127,f145,f163,f136]) ).
fof(f199,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f42,f43]) ).
fof(f200,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f41,f199]) ).
fof(f216,plain,
( ~ sQ2_spl
| sk_c7 = multiply(inverse(sk_c3),sk_c8) ),
inference(paramodulation,[status(thm)],[f90,f200]) ).
fof(f220,plain,
( ~ sQ5_spl
| sk_c8 = multiply(inverse(sk_c4),sk_c5) ),
inference(paramodulation,[status(thm)],[f102,f200]) ).
fof(f221,plain,
( ~ sQ10_spl
| sk_c8 = multiply(inverse(sk_c2),sk_c6) ),
inference(paramodulation,[status(thm)],[f137,f200]) ).
fof(f223,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| sk_c7 = multiply(sk_c7,sk_c8) ),
inference(forward_demodulation,[status(thm)],[f94,f216]) ).
fof(f224,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sk_c7 = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f86,f223]) ).
fof(f225,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| sk_c8 = multiply(sk_c8,sk_c5) ),
inference(forward_demodulation,[status(thm)],[f106,f220]) ).
fof(f226,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| sk_c8 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f98,f225]) ).
fof(f227,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| sk_c8 = multiply(sk_c8,sk_c6) ),
inference(forward_demodulation,[status(thm)],[f146,f221]) ).
fof(f230,plain,
( sQ9_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| multiply(sk_c8,sk_c6) != sk_c6 ),
inference(backward_demodulation,[status(thm)],[f224,f129]) ).
fof(f231,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| multiply(sk_c6,sk_c8) = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f224,f86]) ).
fof(f241,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sk_c8 = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f224,f226]) ).
fof(f248,plain,
( sQ9_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| multiply(sk_c6,sk_c6) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f241,f230]) ).
fof(f249,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| multiply(sk_c6,sk_c6) = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f241,f231]) ).
fof(f250,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f249,f248]) ).
fof(f251,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f250]) ).
fof(f252,plain,
( ~ sQ8_spl
| ~ sQ14_spl
| sk_c8 != sk_c7
| multiply(sk_c1,sk_c7) != sk_c8 ),
inference(paramodulation,[status(thm)],[f119,f161]) ).
fof(f254,plain,
( ~ sQ8_spl
| multiply(sk_c8,sk_c1) = identity ),
inference(paramodulation,[status(thm)],[f119,f42]) ).
fof(f255,definition,
( sQ17_spl
<=> multiply(sk_c1,sk_c7) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f257,plain,
( sQ17_spl
| multiply(sk_c1,sk_c7) != sk_c8 ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,definition,
( sQ18_spl
<=> sk_c8 = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f259,plain,
( ~ sQ18_spl
| sk_c8 = sk_c7 ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f260,plain,
( sQ18_spl
| sk_c8 != sk_c7 ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,plain,
( ~ sQ8_spl
| ~ sQ14_spl
| ~ sQ18_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f252,f255,f258,f160,f118]) ).
fof(f263,plain,
( ~ sQ11_spl
| multiply(sk_c8,sk_c2) = identity ),
inference(paramodulation,[status(thm)],[f146,f42]) ).
fof(f264,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| sk_c6 = multiply(inverse(sk_c8),sk_c8) ),
inference(paramodulation,[status(thm)],[f227,f200]) ).
fof(f266,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| sk_c6 = identity ),
inference(forward_demodulation,[status(thm)],[f42,f264]) ).
fof(f267,plain,
( ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| sk_c8 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f227,f128]) ).
fof(f268,plain,
( ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f267,f260]) ).
fof(f269,plain,
( ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f268]) ).
fof(f270,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ11_spl
| multiply(inverse(X0),X0) = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f266,f42]) ).
fof(f271,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ11_spl
| multiply(sk_c6,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f266,f41]) ).
fof(f273,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| inverse(sk_c2) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f267,f146]) ).
fof(f274,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| inverse(sk_c1) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f267,f119]) ).
fof(f285,plain,
( sQ16_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| multiply(sk_c7,sk_c7) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f267,f190]) ).
fof(f286,plain,
( sQ16_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ0_spl
| sk_c6 != sk_c7 ),
inference(backward_demodulation,[status(thm)],[f287,f285]) ).
fof(f287,plain,
( ~ sQ0_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| multiply(sk_c7,sk_c7) = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f267,f83]) ).
fof(f291,plain,
( ~ sQ7_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| multiply(sk_c1,sk_c7) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f267,f110]) ).
fof(f292,plain,
( ~ sQ7_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| sk_c7 = multiply(inverse(sk_c1),sk_c7) ),
inference(paramodulation,[status(thm)],[f291,f200]) ).
fof(f294,plain,
( ~ sQ7_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ8_spl
| sk_c7 = multiply(sk_c7,sk_c7) ),
inference(forward_demodulation,[status(thm)],[f274,f292]) ).
fof(f295,plain,
( ~ sQ7_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ0_spl
| sk_c7 = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f287,f294]) ).
fof(f296,plain,
( ~ sQ7_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ0_spl
| sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f295,f286]) ).
fof(f297,plain,
( ~ sQ7_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ0_spl
| sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f296]) ).
fof(f326,plain,
( ~ sQ16_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| multiply(sk_c7,sk_c7) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f267,f189]) ).
fof(f327,plain,
( ~ sQ16_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ0_spl
| sk_c6 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f287,f326]) ).
fof(f363,definition,
( sQ20_spl
<=> sk_c3 = sk_c3 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f365,plain,
( sQ20_spl
| sk_c3 != sk_c3 ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f367,plain,
( sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f365]) ).
fof(f368,plain,
sQ20_spl,
inference(contradiction_clause,[status(thm)],[f367]) ).
fof(f477,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| inverse(sk_c3) = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f224,f94]) ).
fof(f498,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| inverse(X0) != sk_c8
| multiply(X0,sk_c6) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f241,f155]) ).
fof(f499,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| inverse(X0) != sk_c8
| multiply(X0,sk_c6) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f224,f498]) ).
fof(f500,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| inverse(X0) != sk_c6
| multiply(X0,sk_c6) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f241,f499]) ).
fof(f505,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ12_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| sk_c6 != sk_c6
| multiply(sk_c3,sk_c6) != sk_c6 ),
inference(paramodulation,[status(thm)],[f477,f500]) ).
fof(f511,definition,
( sQ22_spl
<=> sk_c6 = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f513,plain,
( sQ22_spl
| sk_c6 != sk_c6 ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f515,definition,
( sQ23_spl
<=> multiply(sk_c3,sk_c6) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f517,plain,
( sQ23_spl
| multiply(sk_c3,sk_c6) != sk_c6 ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ12_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ22_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f505,f515,f511,f97,f105,f101,f154,f85,f89,f93]) ).
fof(f523,plain,
( sQ22_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f513]) ).
fof(f524,plain,
sQ22_spl,
inference(contradiction_clause,[status(thm)],[f523]) ).
fof(f525,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| inverse(X0) != sk_c8
| multiply(X0,sk_c6) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f241,f158]) ).
fof(f526,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| inverse(X0) != sk_c6
| multiply(X0,sk_c6) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f241,f525]) ).
fof(f540,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| multiply(sk_c3,sk_c6) = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f224,f90]) ).
fof(f541,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| multiply(sk_c3,sk_c6) = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f241,f540]) ).
fof(f562,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| multiply(sk_c3,sk_c6) != sk_c6 ),
inference(resolution,[status(thm)],[f526,f477]) ).
fof(f574,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| inverse(X0) != sk_c7
| multiply(X0,sk_c6) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f224,f161]) ).
fof(f575,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| inverse(X0) != sk_c7
| multiply(X0,sk_c6) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f241,f574]) ).
fof(f576,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| inverse(X0) != sk_c6
| multiply(X0,sk_c6) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f224,f575]) ).
fof(f590,plain,
( sQ23_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| sk_c6 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f541,f517]) ).
fof(f591,plain,
( sQ23_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f590]) ).
fof(f592,plain,
( sQ23_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f591]) ).
fof(f594,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f562,f515,f97,f105,f101,f157,f85,f89,f93]) ).
fof(f601,plain,
( sQ0_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| multiply(sk_c6,sk_c7) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f241,f84]) ).
fof(f602,plain,
( sQ0_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| multiply(sk_c6,sk_c6) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f224,f601]) ).
fof(f603,plain,
( sQ0_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| sk_c6 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f249,f602]) ).
fof(f604,plain,
( sQ0_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f603]) ).
fof(f605,plain,
( sQ0_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f604]) ).
fof(f629,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ14_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| multiply(sk_c3,sk_c6) != sk_c6 ),
inference(resolution,[status(thm)],[f576,f477]) ).
fof(f633,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ14_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f629,f515,f97,f105,f101,f160,f85,f89,f93]) ).
fof(f637,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| identity = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f42,f270]) ).
fof(f642,plain,
( ~ sQ0_spl
| ~ sQ18_spl
| multiply(sk_c7,sk_c7) = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f259,f83]) ).
fof(f645,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ11_spl
| multiply(inverse(X0),X0) = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f637,f42]) ).
fof(f653,plain,
( ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ16_spl
| ~ sQ0_spl
| sk_c8 = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f327,f267]) ).
fof(f654,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ16_spl
| ~ sQ0_spl
| inverse(sk_c1) = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f653,f119]) ).
fof(f659,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ16_spl
| ~ sQ0_spl
| inverse(sk_c2) = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f327,f273]) ).
fof(f660,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ16_spl
| ~ sQ0_spl
| X0 = multiply(sk_c6,multiply(sk_c2,X0)) ),
inference(paramodulation,[status(thm)],[f659,f200]) ).
fof(f661,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ16_spl
| ~ sQ0_spl
| X0 = multiply(sk_c2,X0) ),
inference(forward_demodulation,[status(thm)],[f271,f660]) ).
fof(f662,plain,
( sQ3_spl
| ~ sQ16_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ0_spl
| inverse(sk_c3) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f327,f95]) ).
fof(f663,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ0_spl
| multiply(sk_c3,sk_c6) = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f327,f90]) ).
fof(f664,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ0_spl
| multiply(sk_c3,sk_c6) = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f653,f663]) ).
fof(f666,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ16_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ0_spl
| multiply(sk_c6,X0) = multiply(sk_c3,multiply(sk_c6,X0)) ),
inference(paramodulation,[status(thm)],[f664,f43]) ).
fof(f667,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ16_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ0_spl
| X0 = multiply(sk_c3,multiply(sk_c6,X0)) ),
inference(forward_demodulation,[status(thm)],[f271,f666]) ).
fof(f668,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ16_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ0_spl
| X0 = multiply(sk_c3,X0) ),
inference(forward_demodulation,[status(thm)],[f271,f667]) ).
fof(f676,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ16_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ0_spl
| X0 = multiply(inverse(sk_c3),X0) ),
inference(paramodulation,[status(thm)],[f668,f200]) ).
fof(f679,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ16_spl
| ~ sQ0_spl
| multiply(sk_c6,sk_c1) = identity ),
inference(forward_demodulation,[status(thm)],[f653,f254]) ).
fof(f680,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ16_spl
| ~ sQ0_spl
| sk_c1 = identity ),
inference(forward_demodulation,[status(thm)],[f271,f679]) ).
fof(f681,plain,
( sQ3_spl
| ~ sQ16_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ0_spl
| ~ sQ8_spl
| inverse(sk_c3) != sk_c1 ),
inference(backward_demodulation,[status(thm)],[f688,f662]) ).
fof(f682,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ16_spl
| ~ sQ0_spl
| ~ sQ8_spl
| inverse(sk_c2) = sk_c1 ),
inference(backward_demodulation,[status(thm)],[f688,f659]) ).
fof(f683,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ16_spl
| ~ sQ0_spl
| multiply(sk_c1,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f688,f271]) ).
fof(f684,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ16_spl
| ~ sQ0_spl
| inverse(sk_c1) = sk_c1 ),
inference(backward_demodulation,[status(thm)],[f688,f654]) ).
fof(f685,plain,
( ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ16_spl
| ~ sQ0_spl
| ~ sQ8_spl
| sk_c8 = sk_c1 ),
inference(backward_demodulation,[status(thm)],[f688,f653]) ).
fof(f686,plain,
( ~ sQ16_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ0_spl
| ~ sQ8_spl
| sk_c1 = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f688,f327]) ).
fof(f687,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ16_spl
| ~ sQ0_spl
| identity = sk_c1 ),
inference(backward_demodulation,[status(thm)],[f688,f637]) ).
fof(f688,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ16_spl
| ~ sQ0_spl
| sk_c1 = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f637,f680]) ).
fof(f693,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ16_spl
| ~ sQ0_spl
| ~ sQ8_spl
| inverse(X0) != sk_c8
| multiply(X0,sk_c1) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f685,f158]) ).
fof(f694,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ16_spl
| ~ sQ0_spl
| ~ sQ8_spl
| inverse(X0) != sk_c8
| multiply(X0,sk_c1) != sk_c1 ),
inference(forward_demodulation,[status(thm)],[f688,f693]) ).
fof(f695,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ16_spl
| ~ sQ0_spl
| ~ sQ8_spl
| inverse(X0) != sk_c1
| multiply(X0,sk_c1) != sk_c1 ),
inference(forward_demodulation,[status(thm)],[f685,f694]) ).
fof(f696,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ16_spl
| ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ13_spl
| multiply(sk_c2,sk_c1) != sk_c1 ),
inference(resolution,[status(thm)],[f695,f682]) ).
fof(f698,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ16_spl
| ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ13_spl
| sk_c1 != sk_c1 ),
inference(forward_demodulation,[status(thm)],[f661,f696]) ).
fof(f699,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ16_spl
| ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f698]) ).
fof(f700,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ16_spl
| ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f699]) ).
fof(f701,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ16_spl
| ~ sQ0_spl
| ~ sQ8_spl
| inverse(X0) != sk_c8
| multiply(X0,sk_c1) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f685,f155]) ).
fof(f702,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ16_spl
| ~ sQ0_spl
| ~ sQ8_spl
| inverse(X0) != sk_c8
| multiply(X0,sk_c1) != sk_c1 ),
inference(forward_demodulation,[status(thm)],[f686,f701]) ).
fof(f703,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ16_spl
| ~ sQ0_spl
| ~ sQ8_spl
| inverse(X0) != sk_c1
| multiply(X0,sk_c1) != sk_c1 ),
inference(forward_demodulation,[status(thm)],[f685,f702]) ).
fof(f723,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ16_spl
| ~ sQ0_spl
| ~ sQ8_spl
| multiply(sk_c1,sk_c2) = identity ),
inference(forward_demodulation,[status(thm)],[f685,f263]) ).
fof(f724,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ16_spl
| ~ sQ0_spl
| ~ sQ8_spl
| sk_c2 = identity ),
inference(forward_demodulation,[status(thm)],[f683,f723]) ).
fof(f725,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ16_spl
| ~ sQ0_spl
| inverse(sk_c1) = sk_c2 ),
inference(backward_demodulation,[status(thm)],[f733,f684]) ).
fof(f728,plain,
( sQ3_spl
| ~ sQ16_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ0_spl
| ~ sQ8_spl
| inverse(sk_c3) != sk_c2 ),
inference(backward_demodulation,[status(thm)],[f733,f681]) ).
fof(f730,plain,
( ~ sQ16_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ0_spl
| ~ sQ8_spl
| sk_c2 = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f733,f686]) ).
fof(f731,plain,
( ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ16_spl
| ~ sQ0_spl
| ~ sQ8_spl
| sk_c8 = sk_c2 ),
inference(backward_demodulation,[status(thm)],[f733,f685]) ).
fof(f733,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ16_spl
| ~ sQ0_spl
| ~ sQ8_spl
| sk_c2 = sk_c1 ),
inference(forward_demodulation,[status(thm)],[f687,f724]) ).
fof(f734,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ16_spl
| ~ sQ0_spl
| inverse(sk_c2) = sk_c2 ),
inference(forward_demodulation,[status(thm)],[f733,f725]) ).
fof(f735,plain,
( ~ sQ0_spl
| ~ sQ18_spl
| ~ sQ16_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ8_spl
| multiply(sk_c2,sk_c7) = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f730,f642]) ).
fof(f736,plain,
( ~ sQ0_spl
| ~ sQ18_spl
| ~ sQ16_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ8_spl
| sk_c7 = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f661,f735]) ).
fof(f737,plain,
( ~ sQ0_spl
| ~ sQ18_spl
| ~ sQ16_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ8_spl
| sk_c2 = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f730,f736]) ).
fof(f746,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ0_spl
| ~ sQ18_spl
| ~ sQ16_spl
| ~ sQ9_spl
| ~ sQ8_spl
| multiply(inverse(X0),X0) = sk_c2 ),
inference(forward_demodulation,[status(thm)],[f737,f645]) ).
fof(f757,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ0_spl
| ~ sQ18_spl
| ~ sQ16_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ2_spl
| sk_c3 = sk_c2 ),
inference(paramodulation,[status(thm)],[f746,f676]) ).
fof(f763,plain,
( sQ3_spl
| ~ sQ16_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ18_spl
| ~ sQ2_spl
| inverse(sk_c2) != sk_c2 ),
inference(backward_demodulation,[status(thm)],[f757,f728]) ).
fof(f766,plain,
( sQ3_spl
| ~ sQ16_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ18_spl
| ~ sQ2_spl
| sk_c2 != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f734,f763]) ).
fof(f767,plain,
( sQ3_spl
| ~ sQ16_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ18_spl
| ~ sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f766]) ).
fof(f768,plain,
( sQ3_spl
| ~ sQ16_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ18_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f767]) ).
fof(f771,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ16_spl
| ~ sQ0_spl
| ~ sQ8_spl
| inverse(X0) != sk_c1
| multiply(X0,sk_c2) != sk_c1 ),
inference(forward_demodulation,[status(thm)],[f733,f703]) ).
fof(f772,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ16_spl
| ~ sQ0_spl
| ~ sQ8_spl
| inverse(X0) != sk_c1
| multiply(X0,sk_c2) != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f733,f771]) ).
fof(f773,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ16_spl
| ~ sQ0_spl
| ~ sQ8_spl
| inverse(X0) != sk_c2
| multiply(X0,sk_c2) != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f733,f772]) ).
fof(f774,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ16_spl
| ~ sQ0_spl
| ~ sQ12_spl
| multiply(sk_c2,sk_c2) != sk_c2 ),
inference(resolution,[status(thm)],[f773,f734]) ).
fof(f776,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ16_spl
| ~ sQ0_spl
| ~ sQ12_spl
| sk_c2 != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f661,f774]) ).
fof(f777,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ16_spl
| ~ sQ0_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f776]) ).
fof(f778,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ16_spl
| ~ sQ0_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f777]) ).
fof(f782,plain,
( sQ17_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ16_spl
| ~ sQ0_spl
| ~ sQ8_spl
| multiply(sk_c2,sk_c7) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f733,f257]) ).
fof(f783,plain,
( sQ17_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ16_spl
| ~ sQ0_spl
| ~ sQ8_spl
| sk_c7 != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f661,f782]) ).
fof(f784,plain,
( sQ17_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ16_spl
| ~ sQ0_spl
| ~ sQ8_spl
| sk_c2 != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f730,f783]) ).
fof(f785,plain,
( sQ17_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ16_spl
| ~ sQ0_spl
| ~ sQ8_spl
| sk_c2 != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f731,f784]) ).
fof(f786,plain,
( sQ17_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ16_spl
| ~ sQ0_spl
| ~ sQ8_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f785]) ).
fof(f787,plain,
( sQ17_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ16_spl
| ~ sQ0_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f786]) ).
fof(f788,plain,
( sQ1_spl
| ~ sQ16_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ0_spl
| ~ sQ8_spl
| multiply(sk_c2,sk_c8) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f730,f87]) ).
fof(f789,plain,
( sQ1_spl
| ~ sQ16_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ0_spl
| ~ sQ8_spl
| sk_c8 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f661,f788]) ).
fof(f790,plain,
( sQ1_spl
| ~ sQ16_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ0_spl
| ~ sQ8_spl
| sk_c2 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f731,f789]) ).
fof(f791,plain,
( sQ1_spl
| ~ sQ16_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ18_spl
| sk_c2 != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f737,f790]) ).
fof(f792,plain,
( sQ1_spl
| ~ sQ16_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f791]) ).
fof(f793,plain,
( sQ1_spl
| ~ sQ16_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f792]) ).
fof(f794,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,f192,f193,f251,f261,f269,f297,f368,f518,f524,f592,f594,f605,f633,f700,f768,f778,f787,f793]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP293-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:08:21 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.15/0.41 % Refutation found
% 0.15/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.45 % Elapsed time: 0.065233 seconds
% 0.15/0.45 % CPU time: 0.212989 seconds
% 0.15/0.45 % Total memory used: 104.896 MB
% 0.15/0.45 % Net memory used: 104.705 MB
%------------------------------------------------------------------------------