%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP319-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 12:33:24 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 65
% Syntax : Number of formulae : 373 ( 11 unt; 25 def)
% Number of atoms : 1769 ( 445 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 2708 (1312 ~;1371 |; 0 &)
% ( 25 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 26 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 95 ( 95 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : multiply(identity,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : multiply(inverse(X),X) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( inverse(sk_c4) = sk_c9
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( inverse(sk_c6) = sk_c7
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( inverse(sk_c4) = sk_c9
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( inverse(sk_c6) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( inverse(sk_c6) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| multiply(sk_c9,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
( inverse(sk_c4) = sk_c9
| multiply(sk_c9,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c9,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c9,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
( inverse(sk_c6) = sk_c7
| multiply(sk_c9,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| multiply(sk_c9,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( inverse(sk_c4) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
( inverse(sk_c6) = sk_c7
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
( inverse(sk_c6) = sk_c7
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
! [X4,X5,X6,X1,X2,X3] :
( multiply(X3,sk_c9) != sk_c7
| inverse(X3) != sk_c7
| inverse(X2) != sk_c8
| multiply(X2,sk_c8) != sk_c7
| inverse(X1) != sk_c9
| multiply(X1,sk_c9) != sk_c8
| inverse(X6) != sk_c9
| multiply(X6,sk_c9) != X5
| multiply(sk_c9,X5) != sk_c8
| inverse(X4) != sk_c8
| multiply(X4,sk_c8) != sk_c9
| multiply(sk_c8,sk_c9) != sk_c7 ),
file('/export/starexec/sandbox/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_c4,sk_c9) = sk_c8
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f45,plain,
( inverse(sk_c4) = sk_c9
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f46,plain,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f47,plain,
( inverse(sk_c5) = sk_c8
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f48,plain,
( inverse(sk_c6) = sk_c7
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f49,plain,
( multiply(sk_c6,sk_c9) = sk_c7
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f50,plain,
( multiply(sk_c4,sk_c9) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f51,plain,
( inverse(sk_c4) = sk_c9
| multiply(sk_c1,sk_c8) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f52,plain,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f53,plain,
( inverse(sk_c5) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f54,plain,
( inverse(sk_c6) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f55,plain,
( multiply(sk_c6,sk_c9) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f56,plain,
( multiply(sk_c4,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f57,plain,
( inverse(sk_c4) = sk_c9
| inverse(sk_c1) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f58,plain,
( multiply(sk_c5,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f59,plain,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f60,plain,
( inverse(sk_c6) = sk_c7
| inverse(sk_c1) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f61,plain,
( multiply(sk_c6,sk_c9) = sk_c7
| inverse(sk_c1) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f62,plain,
( multiply(sk_c4,sk_c9) = sk_c8
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f63,plain,
( inverse(sk_c4) = sk_c9
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f64,plain,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f65,plain,
( inverse(sk_c5) = sk_c8
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f66,plain,
( inverse(sk_c6) = sk_c7
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f67,plain,
( multiply(sk_c6,sk_c9) = sk_c7
| multiply(sk_c9,sk_c3) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f68,plain,
( multiply(sk_c4,sk_c9) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c3 ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f69,plain,
( inverse(sk_c4) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c3 ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f70,plain,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c2,sk_c9) = sk_c3 ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f71,plain,
( inverse(sk_c5) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c3 ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f72,plain,
( inverse(sk_c6) = sk_c7
| multiply(sk_c2,sk_c9) = sk_c3 ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f73,plain,
( multiply(sk_c6,sk_c9) = sk_c7
| multiply(sk_c2,sk_c9) = sk_c3 ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f74,plain,
( multiply(sk_c4,sk_c9) = sk_c8
| inverse(sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f75,plain,
( inverse(sk_c4) = sk_c9
| inverse(sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f76,plain,
( multiply(sk_c5,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f77,plain,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f78,plain,
( inverse(sk_c6) = sk_c7
| inverse(sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f79,plain,
( multiply(sk_c6,sk_c9) = sk_c7
| inverse(sk_c2) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f80,plain,
! [X3] :
( multiply(X3,sk_c9) != sk_c7
| inverse(X3) != sk_c7
| ! [X2] :
( inverse(X2) != sk_c8
| multiply(X2,sk_c8) != sk_c7
| ! [X1] :
( inverse(X1) != sk_c9
| multiply(X1,sk_c9) != sk_c8
| ! [X6] :
( inverse(X6) != sk_c9
| ! [X5] :
( multiply(X6,sk_c9) != X5
| multiply(sk_c9,X5) != sk_c8
| ! [X4] :
( inverse(X4) != sk_c8
| multiply(X4,sk_c8) != sk_c9
| multiply(sk_c8,sk_c9) != sk_c7 ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f40]) ).
fof(f81,plain,
! [X0,X1,X2,X3,X4,X5] :
( multiply(X5,sk_c9) != sk_c7
| inverse(X5) != sk_c7
| inverse(X4) != sk_c8
| multiply(X4,sk_c8) != sk_c7
| inverse(X3) != sk_c9
| multiply(X3,sk_c9) != sk_c8
| inverse(X2) != sk_c9
| multiply(X2,sk_c9) != X1
| multiply(sk_c9,X1) != sk_c8
| inverse(X0) != sk_c8
| multiply(X0,sk_c8) != sk_c9
| multiply(sk_c8,sk_c9) != sk_c7 ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f82,definition,
( sQ0_spl
<=> multiply(sk_c8,sk_c9) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f83,plain,
( ~ sQ0_spl
| multiply(sk_c8,sk_c9) = sk_c7 ),
inference(component_clause,[status(thm)],[f82]) ).
fof(f84,plain,
( sQ0_spl
| multiply(sk_c8,sk_c9) != sk_c7 ),
inference(component_clause,[status(thm)],[f82]) ).
fof(f85,definition,
( sQ1_spl
<=> multiply(sk_c4,sk_c9) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f86,plain,
( ~ sQ1_spl
| multiply(sk_c4,sk_c9) = sk_c8 ),
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_c4) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f90,plain,
( ~ sQ2_spl
| inverse(sk_c4) = sk_c9 ),
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_c5,sk_c8) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f94,plain,
( ~ sQ3_spl
| multiply(sk_c5,sk_c8) = 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
<=> inverse(sk_c5) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f98,plain,
( ~ sQ4_spl
| inverse(sk_c5) = sk_c8 ),
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_c6) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f102,plain,
( ~ sQ5_spl
| inverse(sk_c6) = sk_c7 ),
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_c6,sk_c9) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f106,plain,
( ~ sQ6_spl
| multiply(sk_c6,sk_c9) = sk_c7 ),
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_c9 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f110,plain,
( ~ sQ7_spl
| multiply(sk_c1,sk_c8) = sk_c9 ),
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(f120,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_c9,sk_c3) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f128,plain,
( ~ sQ9_spl
| multiply(sk_c9,sk_c3) = sk_c8 ),
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_c9) = sk_c3 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f137,plain,
( ~ sQ10_spl
| multiply(sk_c2,sk_c9) = sk_c3 ),
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_c9 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f146,plain,
( ~ sQ11_spl
| inverse(sk_c2) = sk_c9 ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f147,plain,
( sQ11_spl
| inverse(sk_c2) != sk_c9 ),
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_c9 ) ),
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_c9 ),
inference(component_clause,[status(thm)],[f154]) ).
fof(f157,definition,
! [X1,X2] :
( sQ13_spl
<=> ( inverse(X2) != sk_c9
| multiply(X2,sk_c9) != X1
| multiply(sk_c9,X1) != sk_c8 ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f158,plain,
! [X0,X1] :
( ~ sQ13_spl
| inverse(X1) != sk_c9
| multiply(X1,sk_c9) != X0
| multiply(sk_c9,X0) != sk_c8 ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f160,definition,
! [X3] :
( sQ14_spl
<=> ( inverse(X3) != sk_c9
| multiply(X3,sk_c9) != sk_c8 ) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f161,plain,
! [X0] :
( ~ sQ14_spl
| inverse(X0) != sk_c9
| multiply(X0,sk_c9) != sk_c8 ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f163,definition,
! [X4] :
( sQ15_spl
<=> ( inverse(X4) != sk_c8
| multiply(X4,sk_c8) != sk_c7 ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f164,plain,
! [X0] :
( ~ sQ15_spl
| inverse(X0) != sk_c8
| multiply(X0,sk_c8) != sk_c7 ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f166,definition,
! [X5] :
( sQ16_spl
<=> ( multiply(X5,sk_c9) != sk_c7
| inverse(X5) != sk_c7 ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f167,plain,
! [X0] :
( ~ sQ16_spl
| multiply(X0,sk_c9) != sk_c7
| inverse(X0) != sk_c7 ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f169,plain,
( sQ16_spl
| sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f81,f82,f154,f157,f160,f163,f166]) ).
fof(f170,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| inverse(sk_c6) != sk_c7 ),
inference(resolution,[status(thm)],[f167,f106]) ).
fof(f174,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| ~ sQ5_spl
| sk_c7 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f102,f170]) ).
fof(f175,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| ~ sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f174]) ).
fof(f176,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f175]) ).
fof(f177,plain,
! [X0] :
( ~ sQ13_spl
| inverse(X0) != sk_c9
| multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8 ),
inference(destructive_equality_resolution,[status(thm)],[f158]) ).
fof(f187,plain,
( ~ sQ3_spl
| ~ sQ15_spl
| inverse(sk_c5) != sk_c8 ),
inference(resolution,[status(thm)],[f164,f94]) ).
fof(f190,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| inverse(sk_c1) != sk_c8
| sk_c9 != sk_c7 ),
inference(paramodulation,[status(thm)],[f110,f164]) ).
fof(f191,plain,
( ~ sQ3_spl
| ~ sQ15_spl
| ~ sQ4_spl
| sk_c8 != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f98,f187]) ).
fof(f192,plain,
( ~ sQ3_spl
| ~ sQ15_spl
| ~ sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f191]) ).
fof(f193,plain,
( ~ sQ3_spl
| ~ sQ15_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f192]) ).
fof(f198,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f42,f43]) ).
fof(f199,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f41,f198]) ).
fof(f216,plain,
( ~ sQ1_spl
| sk_c9 = multiply(inverse(sk_c4),sk_c8) ),
inference(paramodulation,[status(thm)],[f86,f199]) ).
fof(f219,plain,
( ~ sQ7_spl
| sk_c8 = multiply(inverse(sk_c1),sk_c9) ),
inference(paramodulation,[status(thm)],[f110,f199]) ).
fof(f223,plain,
( ~ sQ10_spl
| sk_c9 = multiply(inverse(sk_c2),sk_c3) ),
inference(paramodulation,[status(thm)],[f137,f199]) ).
fof(f225,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| sk_c9 = multiply(sk_c9,sk_c8) ),
inference(forward_demodulation,[status(thm)],[f90,f216]) ).
fof(f226,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| sk_c8 = multiply(sk_c8,sk_c9) ),
inference(forward_demodulation,[status(thm)],[f119,f219]) ).
fof(f227,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| sk_c8 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f83,f226]) ).
fof(f228,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| sk_c9 = multiply(sk_c9,sk_c3) ),
inference(forward_demodulation,[status(thm)],[f146,f223]) ).
fof(f229,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl
| sk_c9 = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f128,f228]) ).
fof(f232,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ8_spl
| multiply(sk_c7,sk_c9) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f227,f83]) ).
fof(f236,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| multiply(sk_c1,sk_c7) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f227,f110]) ).
fof(f237,plain,
( ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| multiply(sk_c9,sk_c3) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f227,f128]) ).
fof(f238,plain,
( ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ0_spl
| inverse(sk_c1) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f227,f119]) ).
fof(f245,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| sk_c9 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f227,f229]) ).
fof(f248,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| inverse(X0) != sk_c9
| multiply(X0,sk_c7) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f245,f161]) ).
fof(f249,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| inverse(X0) != sk_c9
| multiply(X0,sk_c7) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f227,f248]) ).
fof(f250,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| inverse(X0) != sk_c7
| multiply(X0,sk_c7) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f245,f249]) ).
fof(f252,plain,
( ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ14_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl
| sk_c7 != sk_c7
| multiply(sk_c1,sk_c7) != sk_c7 ),
inference(paramodulation,[status(thm)],[f238,f250]) ).
fof(f253,definition,
( sQ17_spl
<=> multiply(sk_c1,sk_c7) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f255,plain,
( sQ17_spl
| multiply(sk_c1,sk_c7) != sk_c7 ),
inference(component_clause,[status(thm)],[f253]) ).
fof(f256,definition,
( sQ18_spl
<=> sk_c7 = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f258,plain,
( sQ18_spl
| sk_c7 != sk_c7 ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f259,plain,
( ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ14_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ18_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f252,f253,f256,f127,f145,f136,f160,f82,f109,f118]) ).
fof(f260,plain,
( sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f258]) ).
fof(f261,plain,
sQ18_spl,
inference(contradiction_clause,[status(thm)],[f260]) ).
fof(f276,definition,
( sQ21_spl
<=> multiply(sk_c7,sk_c7) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f283,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| inverse(X0) != sk_c8
| multiply(X0,sk_c7) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f227,f155]) ).
fof(f293,definition,
( sQ23_spl
<=> multiply(sk_c4,sk_c7) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f294,plain,
( ~ sQ23_spl
| multiply(sk_c4,sk_c7) = sk_c7 ),
inference(component_clause,[status(thm)],[f293]) ).
fof(f295,plain,
( sQ23_spl
| multiply(sk_c4,sk_c7) != sk_c7 ),
inference(component_clause,[status(thm)],[f293]) ).
fof(f305,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl
| multiply(sk_c7,sk_c7) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f245,f232]) ).
fof(f390,definition,
( sQ25_spl
<=> sk_c3 = sk_c3 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f392,plain,
( sQ25_spl
| sk_c3 != sk_c3 ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f394,plain,
( sQ25_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f392]) ).
fof(f395,plain,
sQ25_spl,
inference(contradiction_clause,[status(thm)],[f394]) ).
fof(f403,definition,
( sQ26_spl
<=> sk_c9 = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f405,plain,
( sQ26_spl
| sk_c9 != sk_c7 ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f406,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ8_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f190,f403,f118,f163,f109]) ).
fof(f436,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl
| multiply(sk_c1,sk_c7) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f245,f236]) ).
fof(f437,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl
| sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f436,f255]) ).
fof(f438,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl
| sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f437]) ).
fof(f440,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| inverse(X0) != sk_c7
| multiply(X0,sk_c7) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f227,f283]) ).
fof(f458,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| multiply(sk_c7,X0) = multiply(sk_c9,multiply(sk_c3,X0)) ),
inference(paramodulation,[status(thm)],[f237,f43]) ).
fof(f471,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| ~ sQ12_spl
| inverse(sk_c1) != sk_c7 ),
inference(resolution,[status(thm)],[f440,f236]) ).
fof(f479,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| ~ sQ12_spl
| sk_c7 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f238,f471]) ).
fof(f480,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f479]) ).
fof(f481,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f480]) ).
fof(f484,plain,
( ~ sQ4_spl
| multiply(sk_c8,sk_c5) = identity ),
inference(paramodulation,[status(thm)],[f98,f42]) ).
fof(f493,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| sk_c8 = multiply(inverse(sk_c9),sk_c9) ),
inference(paramodulation,[status(thm)],[f225,f199]) ).
fof(f495,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| sk_c8 = identity ),
inference(forward_demodulation,[status(thm)],[f42,f493]) ).
fof(f496,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| multiply(inverse(X0),X0) = sk_c8 ),
inference(backward_demodulation,[status(thm)],[f495,f42]) ).
fof(f500,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| multiply(sk_c8,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f495,f41]) ).
fof(f505,plain,
( ~ sQ6_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| multiply(sk_c6,sk_c7) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f508,f106]) ).
fof(f506,plain,
( sQ11_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| inverse(sk_c2) != sk_c7 ),
inference(backward_demodulation,[status(thm)],[f508,f147]) ).
fof(f507,plain,
( ~ sQ2_spl
| ~ sQ0_spl
| ~ sQ1_spl
| inverse(sk_c4) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f508,f90]) ).
fof(f508,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c9 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f500,f83]) ).
fof(f511,plain,
( sQ23_spl
| ~ sQ1_spl
| ~ sQ0_spl
| ~ sQ2_spl
| sk_c8 != sk_c7 ),
inference(backward_demodulation,[status(thm)],[f512,f295]) ).
fof(f512,plain,
( ~ sQ1_spl
| ~ sQ0_spl
| ~ sQ2_spl
| multiply(sk_c4,sk_c7) = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f508,f86]) ).
fof(f517,plain,
( ~ sQ3_spl
| sk_c8 = multiply(inverse(sk_c5),sk_c7) ),
inference(paramodulation,[status(thm)],[f94,f199]) ).
fof(f519,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| sk_c8 = multiply(sk_c8,sk_c7) ),
inference(forward_demodulation,[status(thm)],[f98,f517]) ).
fof(f520,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c8 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f500,f519]) ).
fof(f521,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sQ23_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f520,f511]) ).
fof(f522,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sQ23_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f521]) ).
fof(f524,plain,
( ~ sQ23_spl
| ~ sQ1_spl
| ~ sQ0_spl
| ~ sQ2_spl
| sk_c8 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f512,f294]) ).
fof(f525,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| multiply(sk_c1,sk_c8) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f508,f110]) ).
fof(f532,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c1,sk_c7) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f520,f525]) ).
fof(f534,plain,
( ~ sQ1_spl
| ~ sQ0_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c4,sk_c7) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f520,f512]) ).
fof(f535,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c7,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f520,f500]) ).
fof(f536,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c7 = identity ),
inference(backward_demodulation,[status(thm)],[f520,f495]) ).
fof(f537,plain,
( sQ8_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| inverse(sk_c1) != sk_c7 ),
inference(backward_demodulation,[status(thm)],[f520,f120]) ).
fof(f538,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| inverse(sk_c5) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f520,f98]) ).
fof(f541,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| inverse(X0) != sk_c9
| multiply(sk_c7,multiply(X0,sk_c9)) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f508,f177]) ).
fof(f542,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| inverse(X0) != sk_c9
| multiply(X0,sk_c9) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f535,f541]) ).
fof(f543,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| inverse(X0) != sk_c9
| multiply(X0,sk_c7) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f508,f542]) ).
fof(f544,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| inverse(X0) != sk_c9
| multiply(X0,sk_c7) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f520,f543]) ).
fof(f545,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| inverse(X0) != sk_c7
| multiply(X0,sk_c7) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f508,f544]) ).
fof(f547,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ13_spl
| ~ sQ0_spl
| inverse(sk_c7) != sk_c7
| sk_c7 != sk_c7 ),
inference(paramodulation,[status(thm)],[f535,f545]) ).
fof(f549,definition,
( sQ27_spl
<=> inverse(sk_c7) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f551,plain,
( sQ27_spl
| inverse(sk_c7) != sk_c7 ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f552,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ27_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f547,f256,f549,f82,f157,f97,f93,f89,f85]) ).
fof(f553,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| inverse(X0) != sk_c8
| multiply(X0,sk_c7) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f520,f155]) ).
fof(f554,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ0_spl
| inverse(X0) != sk_c8
| multiply(X0,sk_c7) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f508,f553]) ).
fof(f555,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ0_spl
| inverse(X0) != sk_c7
| multiply(X0,sk_c7) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f520,f554]) ).
fof(f556,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| X0 = multiply(sk_c7,multiply(sk_c5,X0)) ),
inference(paramodulation,[status(thm)],[f538,f199]) ).
fof(f557,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| X0 = multiply(sk_c5,X0) ),
inference(forward_demodulation,[status(thm)],[f535,f556]) ).
fof(f561,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| multiply(sk_c7,sk_c5) = identity ),
inference(forward_demodulation,[status(thm)],[f520,f484]) ).
fof(f562,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c5 = identity ),
inference(forward_demodulation,[status(thm)],[f535,f561]) ).
fof(f564,plain,
( sQ8_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| inverse(sk_c1) != sk_c5 ),
inference(backward_demodulation,[status(thm)],[f571,f537]) ).
fof(f566,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c5 = identity ),
inference(backward_demodulation,[status(thm)],[f571,f536]) ).
fof(f567,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c8 = sk_c5 ),
inference(backward_demodulation,[status(thm)],[f571,f520]) ).
fof(f568,plain,
( ~ sQ2_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl
| inverse(sk_c4) = sk_c5 ),
inference(backward_demodulation,[status(thm)],[f571,f507]) ).
fof(f569,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sk_c9 = sk_c5 ),
inference(backward_demodulation,[status(thm)],[f571,f508]) ).
fof(f570,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| inverse(sk_c6) = sk_c5 ),
inference(backward_demodulation,[status(thm)],[f571,f102]) ).
fof(f571,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c5 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f536,f562]) ).
fof(f574,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(inverse(X0),X0) = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f567,f496]) ).
fof(f579,plain,
( ~ sQ6_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| multiply(sk_c6,sk_c5) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f571,f505]) ).
fof(f580,plain,
( ~ sQ6_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| multiply(sk_c6,sk_c5) = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f571,f579]) ).
fof(f582,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c5,X0)) ),
inference(paramodulation,[status(thm)],[f580,f43]) ).
fof(f583,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| X0 = multiply(sk_c6,multiply(sk_c5,X0)) ),
inference(forward_demodulation,[status(thm)],[f557,f582]) ).
fof(f584,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| X0 = multiply(sk_c6,X0) ),
inference(forward_demodulation,[status(thm)],[f557,f583]) ).
fof(f585,plain,
( ~ sQ2_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl
| multiply(sk_c5,sk_c4) = sk_c5 ),
inference(paramodulation,[status(thm)],[f568,f574]) ).
fof(f587,plain,
( ~ sQ2_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sk_c4 = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f557,f585]) ).
fof(f590,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| multiply(sk_c5,sk_c6) = sk_c5 ),
inference(paramodulation,[status(thm)],[f570,f574]) ).
fof(f592,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c6 = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f557,f590]) ).
fof(f594,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| inverse(sk_c6) = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f592,f570]) ).
fof(f595,plain,
( ~ sQ2_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sk_c4 = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f592,f587]) ).
fof(f596,plain,
( sQ8_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| inverse(sk_c1) != sk_c6 ),
inference(backward_demodulation,[status(thm)],[f592,f564]) ).
fof(f598,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| multiply(inverse(X0),X0) = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f592,f574]) ).
fof(f600,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sk_c9 = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f592,f569]) ).
fof(f601,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| sk_c8 = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f592,f567]) ).
fof(f602,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| sk_c6 = identity ),
inference(backward_demodulation,[status(thm)],[f592,f566]) ).
fof(f603,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| sk_c6 = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f592,f571]) ).
fof(f610,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| multiply(sk_c1,sk_c6) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f603,f532]) ).
fof(f611,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| multiply(sk_c1,sk_c6) = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f603,f610]) ).
fof(f613,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c6,X0)) ),
inference(paramodulation,[status(thm)],[f611,f43]) ).
fof(f614,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| X0 = multiply(sk_c1,multiply(sk_c6,X0)) ),
inference(forward_demodulation,[status(thm)],[f584,f613]) ).
fof(f615,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| X0 = multiply(sk_c1,X0) ),
inference(forward_demodulation,[status(thm)],[f584,f614]) ).
fof(f620,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ0_spl
| ~ sQ5_spl
| inverse(X0) != sk_c7
| multiply(X0,sk_c6) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f603,f555]) ).
fof(f621,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ0_spl
| ~ sQ5_spl
| inverse(X0) != sk_c7
| multiply(X0,sk_c6) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f603,f620]) ).
fof(f622,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ0_spl
| ~ sQ5_spl
| inverse(X0) != sk_c6
| multiply(X0,sk_c6) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f603,f621]) ).
fof(f623,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ12_spl
| ~ sQ0_spl
| multiply(sk_c6,sk_c6) != sk_c6 ),
inference(resolution,[status(thm)],[f622,f594]) ).
fof(f625,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ6_spl
| sk_c6 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f584,f623]) ).
fof(f626,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f625]) ).
fof(f627,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f626]) ).
fof(f628,plain,
( sQ27_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| inverse(sk_c6) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f603,f551]) ).
fof(f629,plain,
( sQ27_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| sk_c6 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f594,f628]) ).
fof(f630,plain,
( sQ27_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| sk_c6 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f603,f629]) ).
fof(f631,plain,
( sQ27_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f630]) ).
fof(f632,plain,
( sQ27_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f631]) ).
fof(f639,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| X0 = multiply(inverse(sk_c1),X0) ),
inference(paramodulation,[status(thm)],[f615,f199]) ).
fof(f667,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ6_spl
| sk_c1 = sk_c6 ),
inference(paramodulation,[status(thm)],[f598,f639]) ).
fof(f672,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ6_spl
| multiply(inverse(X0),X0) = sk_c1 ),
inference(backward_demodulation,[status(thm)],[f667,f598]) ).
fof(f673,plain,
( sQ8_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ6_spl
| inverse(sk_c1) != sk_c1 ),
inference(backward_demodulation,[status(thm)],[f667,f596]) ).
fof(f674,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ6_spl
| inverse(sk_c6) = sk_c1 ),
inference(backward_demodulation,[status(thm)],[f667,f594]) ).
fof(f676,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ6_spl
| sk_c1 = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f667,f603]) ).
fof(f679,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| sk_c9 = sk_c1 ),
inference(backward_demodulation,[status(thm)],[f667,f600]) ).
fof(f682,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ6_spl
| inverse(sk_c1) = sk_c1 ),
inference(forward_demodulation,[status(thm)],[f667,f674]) ).
fof(f691,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ6_spl
| sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f682,f673]) ).
fof(f692,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ6_spl
| sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f691]) ).
fof(f745,plain,
( ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ6_spl
| multiply(sk_c1,sk_c3) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f679,f237]) ).
fof(f746,plain,
( ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c3 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f615,f745]) ).
fof(f747,plain,
( ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c3 = sk_c1 ),
inference(forward_demodulation,[status(thm)],[f676,f746]) ).
fof(f751,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| multiply(sk_c1,X0) = multiply(sk_c9,multiply(sk_c3,X0)) ),
inference(forward_demodulation,[status(thm)],[f676,f458]) ).
fof(f752,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| X0 = multiply(sk_c9,multiply(sk_c3,X0)) ),
inference(forward_demodulation,[status(thm)],[f615,f751]) ).
fof(f753,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| X0 = multiply(sk_c1,multiply(sk_c3,X0)) ),
inference(forward_demodulation,[status(thm)],[f679,f752]) ).
fof(f754,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| X0 = multiply(sk_c3,X0) ),
inference(forward_demodulation,[status(thm)],[f615,f753]) ).
fof(f786,plain,
( ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| multiply(sk_c2,sk_c1) = sk_c3 ),
inference(forward_demodulation,[status(thm)],[f679,f137]) ).
fof(f790,plain,
( sQ11_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| inverse(sk_c2) != sk_c1 ),
inference(forward_demodulation,[status(thm)],[f676,f506]) ).
fof(f792,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ9_spl
| ~ sQ8_spl
| multiply(inverse(X0),X0) = sk_c3 ),
inference(backward_demodulation,[status(thm)],[f747,f672]) ).
fof(f805,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ9_spl
| ~ sQ8_spl
| inverse(sk_c3) = sk_c1 ),
inference(forward_demodulation,[status(thm)],[f747,f682]) ).
fof(f806,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ9_spl
| ~ sQ8_spl
| inverse(sk_c3) = sk_c3 ),
inference(forward_demodulation,[status(thm)],[f747,f805]) ).
fof(f815,plain,
( sQ11_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ9_spl
| ~ sQ8_spl
| inverse(sk_c2) != sk_c3 ),
inference(forward_demodulation,[status(thm)],[f747,f790]) ).
fof(f816,plain,
( ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ9_spl
| ~ sQ8_spl
| multiply(sk_c2,sk_c3) = sk_c3 ),
inference(forward_demodulation,[status(thm)],[f747,f786]) ).
fof(f818,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ9_spl
| ~ sQ8_spl
| multiply(sk_c3,X0) = multiply(sk_c2,multiply(sk_c3,X0)) ),
inference(paramodulation,[status(thm)],[f816,f43]) ).
fof(f819,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ9_spl
| ~ sQ8_spl
| X0 = multiply(sk_c2,multiply(sk_c3,X0)) ),
inference(forward_demodulation,[status(thm)],[f754,f818]) ).
fof(f820,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ9_spl
| ~ sQ8_spl
| X0 = multiply(sk_c2,X0) ),
inference(forward_demodulation,[status(thm)],[f754,f819]) ).
fof(f822,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ9_spl
| ~ sQ8_spl
| X0 = multiply(inverse(sk_c2),X0) ),
inference(paramodulation,[status(thm)],[f820,f199]) ).
fof(f830,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ10_spl
| sk_c2 = sk_c3 ),
inference(paramodulation,[status(thm)],[f792,f822]) ).
fof(f836,plain,
( sQ11_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ10_spl
| inverse(sk_c2) != sk_c2 ),
inference(backward_demodulation,[status(thm)],[f830,f815]) ).
fof(f845,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ10_spl
| inverse(sk_c3) = sk_c2 ),
inference(backward_demodulation,[status(thm)],[f830,f806]) ).
fof(f847,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ10_spl
| inverse(sk_c2) = sk_c2 ),
inference(forward_demodulation,[status(thm)],[f830,f845]) ).
fof(f856,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ10_spl
| sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f847,f836]) ).
fof(f857,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ10_spl
| sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f856]) ).
fof(f858,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f305,f276,f127,f145,f136,f118,f109,f82]) ).
fof(f889,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl
| multiply(sk_c1,sk_c7) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f245,f236]) ).
fof(f918,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| multiply(X0,sk_c7) != sk_c7
| inverse(X0) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f245,f167]) ).
fof(f920,plain,
( ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl
| multiply(sk_c1,sk_c7) != sk_c7 ),
inference(resolution,[status(thm)],[f918,f238]) ).
fof(f924,plain,
( ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f920,f253,f127,f145,f136,f166,f82,f109,f118]) ).
fof(f930,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| inverse(X0) != sk_c9
| multiply(sk_c7,multiply(X0,sk_c9)) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f245,f177]) ).
fof(f931,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| inverse(X0) != sk_c9
| multiply(sk_c7,multiply(X0,sk_c7)) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f245,f930]) ).
fof(f932,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| inverse(X0) != sk_c9
| multiply(sk_c7,multiply(X0,sk_c7)) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f227,f931]) ).
fof(f933,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| inverse(X0) != sk_c7
| multiply(sk_c7,multiply(X0,sk_c7)) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f245,f932]) ).
fof(f934,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ13_spl
| inverse(sk_c1) != sk_c7
| multiply(sk_c7,sk_c7) != sk_c7 ),
inference(paramodulation,[status(thm)],[f889,f933]) ).
fof(f941,definition,
( sQ31_spl
<=> inverse(sk_c1) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f943,plain,
( sQ31_spl
| inverse(sk_c1) != sk_c7 ),
inference(component_clause,[status(thm)],[f941]) ).
fof(f944,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f934,f276,f941,f157,f127,f145,f136,f82,f118,f109]) ).
fof(f956,plain,
( sQ31_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ0_spl
| sk_c7 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f238,f943]) ).
fof(f957,plain,
( sQ31_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f956]) ).
fof(f958,plain,
( sQ31_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f957]) ).
fof(f1069,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sk_c9 = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f592,f569]) ).
fof(f1074,plain,
( ~ sQ1_spl
| ~ sQ0_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| multiply(sk_c6,sk_c7) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f595,f534]) ).
fof(f1202,plain,
( sQ26_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| sk_c7 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f245,f405]) ).
fof(f1203,plain,
( sQ26_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1202]) ).
fof(f1204,plain,
( sQ26_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1203]) ).
fof(f1205,plain,
( ~ sQ1_spl
| ~ sQ0_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| multiply(sk_c6,sk_c6) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f603,f1074]) ).
fof(f1206,plain,
( ~ sQ1_spl
| ~ sQ0_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| multiply(sk_c6,sk_c6) = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f603,f1205]) ).
fof(f1210,plain,
( ~ sQ23_spl
| ~ sQ1_spl
| ~ sQ0_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sk_c8 = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f603,f524]) ).
fof(f1212,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ23_spl
| ~ sQ0_spl
| ~ sQ5_spl
| sk_c6 = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f1210,f567]) ).
fof(f1213,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ5_spl
| inverse(X0) != sk_c9
| multiply(X0,sk_c6) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f1069,f161]) ).
fof(f1214,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ23_spl
| inverse(X0) != sk_c9
| multiply(X0,sk_c6) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f1210,f1213]) ).
fof(f1215,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ23_spl
| inverse(X0) != sk_c6
| multiply(X0,sk_c6) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f1069,f1214]) ).
fof(f1216,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ23_spl
| ~ sQ0_spl
| ~ sQ5_spl
| inverse(sk_c6) = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f1212,f98]) ).
fof(f1217,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ23_spl
| ~ sQ0_spl
| ~ sQ5_spl
| inverse(sk_c6) = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f1210,f1216]) ).
fof(f1218,plain,
( ~ sQ14_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ23_spl
| multiply(sk_c6,sk_c6) != sk_c6 ),
inference(resolution,[status(thm)],[f1217,f1215]) ).
fof(f1221,plain,
( ~ sQ14_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ23_spl
| sk_c6 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f1206,f1218]) ).
fof(f1222,plain,
( ~ sQ14_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ23_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1221]) ).
fof(f1223,plain,
( ~ sQ14_spl
| ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f1222]) ).
fof(f1226,plain,
( sQ0_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| multiply(sk_c8,sk_c9) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f603,f84]) ).
fof(f1232,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| multiply(sk_c6,X0) = X0 ),
inference(forward_demodulation,[status(thm)],[f602,f41]) ).
fof(f1263,plain,
( ~ sQ6_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| sk_c9 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f1232,f106]) ).
fof(f1266,plain,
( ~ sQ6_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| sk_c9 = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f603,f1263]) ).
fof(f1292,plain,
( sQ0_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| multiply(sk_c6,sk_c9) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f601,f1226]) ).
fof(f1293,plain,
( sQ0_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| sk_c9 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f1232,f1292]) ).
fof(f1294,plain,
( sQ0_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c6 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f1266,f1293]) ).
fof(f1295,plain,
( sQ0_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1294]) ).
fof(f1296,plain,
( sQ0_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f1295]) ).
fof(f1297,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,f169,f176,f193,f259,f261,f395,f406,f438,f481,f522,f552,f627,f632,f692,f857,f858,f924,f944,f958,f1204,f1223,f1296]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP319-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n026.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 20:11:51 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.43 % Elapsed time: 0.058456 seconds
% 0.14/0.43 % CPU time: 0.211859 seconds
% 0.14/0.43 % Total memory used: 105.237 MB
% 0.14/0.43 % Net memory used: 104.963 MB
%------------------------------------------------------------------------------