%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP221-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 12:33:08 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.39s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 71
% Syntax : Number of formulae : 303 ( 11 unt; 19 def)
% Number of atoms : 1151 ( 397 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 1565 ( 717 ~; 829 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 20 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 65 ( 65 !; 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,
( inverse(sk_c10) = sk_c9
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( inverse(sk_c6) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c8
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( inverse(sk_c7) = sk_c10
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( inverse(sk_c10) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( inverse(sk_c6) = sk_c10
| multiply(sk_c1,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c10
| multiply(sk_c1,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c8
| multiply(sk_c1,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( inverse(sk_c7) = sk_c10
| multiply(sk_c1,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( inverse(sk_c10) = sk_c9
| multiply(sk_c2,sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( inverse(sk_c6) = sk_c10
| multiply(sk_c2,sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c10
| multiply(sk_c2,sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c2,sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c8
| multiply(sk_c2,sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( inverse(sk_c7) = sk_c10
| multiply(sk_c2,sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( inverse(sk_c10) = sk_c9
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
( inverse(sk_c6) = sk_c10
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c10
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c8
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( inverse(sk_c7) = sk_c10
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( inverse(sk_c10) = sk_c9
| multiply(sk_c3,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( inverse(sk_c6) = sk_c10
| multiply(sk_c3,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c10
| multiply(sk_c3,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c3,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c8
| multiply(sk_c3,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
( inverse(sk_c7) = sk_c10
| multiply(sk_c3,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
( inverse(sk_c10) = sk_c9
| multiply(sk_c10,sk_c5) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
( inverse(sk_c6) = sk_c10
| multiply(sk_c10,sk_c5) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c10
| multiply(sk_c10,sk_c5) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c10,sk_c5) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c8
| multiply(sk_c10,sk_c5) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
( inverse(sk_c7) = sk_c10
| multiply(sk_c10,sk_c5) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
( inverse(sk_c10) = sk_c9
| multiply(sk_c4,sk_c10) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
( inverse(sk_c6) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c4,sk_c10) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c8
| multiply(sk_c4,sk_c10) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
( inverse(sk_c7) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
( inverse(sk_c10) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
( inverse(sk_c6) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c8
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
( inverse(sk_c7) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
! [X4,X5,X6,X7,X8,X1,X2,X3] :
( inverse(X3) != sk_c10
| multiply(X3,sk_c10) != X2
| multiply(sk_c10,X2) != sk_c9
| multiply(X1,sk_c9) != sk_c10
| inverse(X1) != sk_c10
| inverse(sk_c10) != sk_c9
| inverse(X8) != sk_c10
| multiply(X8,sk_c10) != X7
| multiply(sk_c10,X7) != sk_c9
| multiply(X6,sk_c10) != sk_c9
| inverse(X5) != X6
| multiply(X5,X6) != sk_c9
| multiply(X4,sk_c9) != sk_c10
| inverse(X4) != sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,plain,
! [X0] : multiply(identity,X0) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f54,plain,
! [X0] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f55,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f56,plain,
( inverse(sk_c10) = sk_c9
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f57,plain,
( inverse(sk_c6) = sk_c10
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f58,plain,
( multiply(sk_c6,sk_c9) = sk_c10
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f59,plain,
( multiply(sk_c10,sk_c8) = sk_c9
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f60,plain,
( multiply(sk_c7,sk_c10) = sk_c8
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f61,plain,
( inverse(sk_c7) = sk_c10
| inverse(sk_c1) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f62,plain,
( inverse(sk_c10) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f63,plain,
( inverse(sk_c6) = sk_c10
| multiply(sk_c1,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f64,plain,
( multiply(sk_c6,sk_c9) = sk_c10
| multiply(sk_c1,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f65,plain,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f66,plain,
( multiply(sk_c7,sk_c10) = sk_c8
| multiply(sk_c1,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f67,plain,
( inverse(sk_c7) = sk_c10
| multiply(sk_c1,sk_c9) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f68,plain,
( inverse(sk_c10) = sk_c9
| multiply(sk_c2,sk_c3) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f69,plain,
( inverse(sk_c6) = sk_c10
| multiply(sk_c2,sk_c3) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f70,plain,
( multiply(sk_c6,sk_c9) = sk_c10
| multiply(sk_c2,sk_c3) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f71,plain,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c2,sk_c3) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f72,plain,
( multiply(sk_c7,sk_c10) = sk_c8
| multiply(sk_c2,sk_c3) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f73,plain,
( inverse(sk_c7) = sk_c10
| multiply(sk_c2,sk_c3) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f74,plain,
( inverse(sk_c10) = sk_c9
| inverse(sk_c2) = sk_c3 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f75,plain,
( inverse(sk_c6) = sk_c10
| inverse(sk_c2) = sk_c3 ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f76,plain,
( multiply(sk_c6,sk_c9) = sk_c10
| inverse(sk_c2) = sk_c3 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f77,plain,
( multiply(sk_c10,sk_c8) = sk_c9
| inverse(sk_c2) = sk_c3 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f78,plain,
( multiply(sk_c7,sk_c10) = sk_c8
| inverse(sk_c2) = sk_c3 ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f79,plain,
( inverse(sk_c7) = sk_c10
| inverse(sk_c2) = sk_c3 ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f80,plain,
( inverse(sk_c10) = sk_c9
| multiply(sk_c3,sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f81,plain,
( inverse(sk_c6) = sk_c10
| multiply(sk_c3,sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f82,plain,
( multiply(sk_c6,sk_c9) = sk_c10
| multiply(sk_c3,sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f83,plain,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c3,sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f84,plain,
( multiply(sk_c7,sk_c10) = sk_c8
| multiply(sk_c3,sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f85,plain,
( inverse(sk_c7) = sk_c10
| multiply(sk_c3,sk_c10) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f86,plain,
( inverse(sk_c10) = sk_c9
| multiply(sk_c10,sk_c5) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f87,plain,
( inverse(sk_c6) = sk_c10
| multiply(sk_c10,sk_c5) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f88,plain,
( multiply(sk_c6,sk_c9) = sk_c10
| multiply(sk_c10,sk_c5) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f89,plain,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c10,sk_c5) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f90,plain,
( multiply(sk_c7,sk_c10) = sk_c8
| multiply(sk_c10,sk_c5) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f91,plain,
( inverse(sk_c7) = sk_c10
| multiply(sk_c10,sk_c5) = sk_c9 ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f92,plain,
( inverse(sk_c10) = sk_c9
| multiply(sk_c4,sk_c10) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f93,plain,
( inverse(sk_c6) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f94,plain,
( multiply(sk_c6,sk_c9) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f95,plain,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c4,sk_c10) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f96,plain,
( multiply(sk_c7,sk_c10) = sk_c8
| multiply(sk_c4,sk_c10) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f97,plain,
( inverse(sk_c7) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f98,plain,
( inverse(sk_c10) = sk_c9
| inverse(sk_c4) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f99,plain,
( inverse(sk_c6) = sk_c10
| inverse(sk_c4) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f100,plain,
( multiply(sk_c6,sk_c9) = sk_c10
| inverse(sk_c4) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f101,plain,
( multiply(sk_c10,sk_c8) = sk_c9
| inverse(sk_c4) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f102,plain,
( multiply(sk_c7,sk_c10) = sk_c8
| inverse(sk_c4) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f103,plain,
( inverse(sk_c7) = sk_c10
| inverse(sk_c4) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f104,plain,
! [X3] :
( inverse(X3) != sk_c10
| ! [X2] :
( multiply(X3,sk_c10) != X2
| multiply(sk_c10,X2) != sk_c9
| ! [X1] :
( multiply(X1,sk_c9) != sk_c10
| inverse(X1) != sk_c10
| inverse(sk_c10) != sk_c9
| ! [X8] :
( inverse(X8) != sk_c10
| ! [X7] :
( multiply(X8,sk_c10) != X7
| multiply(sk_c10,X7) != sk_c9
| ! [X6] :
( multiply(X6,sk_c10) != sk_c9
| ! [X5] :
( inverse(X5) != X6
| multiply(X5,X6) != sk_c9
| ! [X4] :
( multiply(X4,sk_c9) != sk_c10
| inverse(X4) != sk_c10 ) ) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f52]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( inverse(X7) != sk_c10
| multiply(X7,sk_c10) != X6
| multiply(sk_c10,X6) != sk_c9
| multiply(X5,sk_c9) != sk_c10
| inverse(X5) != sk_c10
| inverse(sk_c10) != sk_c9
| inverse(X4) != sk_c10
| multiply(X4,sk_c10) != X3
| multiply(sk_c10,X3) != sk_c9
| multiply(X2,sk_c10) != sk_c9
| inverse(X1) != X2
| multiply(X1,X2) != sk_c9
| multiply(X0,sk_c9) != sk_c10
| inverse(X0) != sk_c10 ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f106,definition,
( sQ0_spl
<=> inverse(sk_c1) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f107,plain,
( ~ sQ0_spl
| inverse(sk_c1) = sk_c10 ),
inference(component_clause,[status(thm)],[f106]) ).
fof(f109,definition,
( sQ1_spl
<=> inverse(sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f110,plain,
( ~ sQ1_spl
| inverse(sk_c10) = sk_c9 ),
inference(component_clause,[status(thm)],[f109]) ).
fof(f111,plain,
( sQ1_spl
| inverse(sk_c10) != sk_c9 ),
inference(component_clause,[status(thm)],[f109]) ).
fof(f112,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f56,f106,f109]) ).
fof(f113,definition,
( sQ2_spl
<=> inverse(sk_c6) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f114,plain,
( ~ sQ2_spl
| inverse(sk_c6) = sk_c10 ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f116,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f57,f106,f113]) ).
fof(f117,definition,
( sQ3_spl
<=> multiply(sk_c6,sk_c9) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f118,plain,
( ~ sQ3_spl
| multiply(sk_c6,sk_c9) = sk_c10 ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f120,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f58,f106,f117]) ).
fof(f121,definition,
( sQ4_spl
<=> multiply(sk_c10,sk_c8) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f122,plain,
( ~ sQ4_spl
| multiply(sk_c10,sk_c8) = sk_c9 ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f124,plain,
( sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f59,f106,f121]) ).
fof(f125,definition,
( sQ5_spl
<=> multiply(sk_c7,sk_c10) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f126,plain,
( ~ sQ5_spl
| multiply(sk_c7,sk_c10) = sk_c8 ),
inference(component_clause,[status(thm)],[f125]) ).
fof(f128,plain,
( sQ5_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f60,f106,f125]) ).
fof(f129,definition,
( sQ6_spl
<=> inverse(sk_c7) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f130,plain,
( ~ sQ6_spl
| inverse(sk_c7) = sk_c10 ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f132,plain,
( sQ6_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f61,f106,f129]) ).
fof(f133,definition,
( sQ7_spl
<=> multiply(sk_c1,sk_c9) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f134,plain,
( ~ sQ7_spl
| multiply(sk_c1,sk_c9) = sk_c10 ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f136,plain,
( sQ1_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f62,f133,f109]) ).
fof(f137,plain,
( sQ2_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f63,f133,f113]) ).
fof(f138,plain,
( sQ3_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f64,f133,f117]) ).
fof(f139,plain,
( sQ4_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f65,f133,f121]) ).
fof(f140,plain,
( sQ5_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f66,f133,f125]) ).
fof(f141,plain,
( sQ6_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f67,f133,f129]) ).
fof(f142,definition,
( sQ8_spl
<=> multiply(sk_c2,sk_c3) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f143,plain,
( ~ sQ8_spl
| multiply(sk_c2,sk_c3) = sk_c9 ),
inference(component_clause,[status(thm)],[f142]) ).
fof(f145,plain,
( sQ1_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f68,f142,f109]) ).
fof(f146,plain,
( sQ2_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f69,f142,f113]) ).
fof(f147,plain,
( sQ3_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f70,f142,f117]) ).
fof(f148,plain,
( sQ4_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f71,f142,f121]) ).
fof(f149,plain,
( sQ5_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f72,f142,f125]) ).
fof(f150,plain,
( sQ6_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f73,f142,f129]) ).
fof(f151,definition,
( sQ9_spl
<=> inverse(sk_c2) = sk_c3 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f152,plain,
( ~ sQ9_spl
| inverse(sk_c2) = sk_c3 ),
inference(component_clause,[status(thm)],[f151]) ).
fof(f154,plain,
( sQ1_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f74,f151,f109]) ).
fof(f155,plain,
( sQ2_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f75,f151,f113]) ).
fof(f156,plain,
( sQ3_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f76,f151,f117]) ).
fof(f157,plain,
( sQ4_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f77,f151,f121]) ).
fof(f158,plain,
( sQ5_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f78,f151,f125]) ).
fof(f159,plain,
( sQ6_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f79,f151,f129]) ).
fof(f160,definition,
( sQ10_spl
<=> multiply(sk_c3,sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f161,plain,
( ~ sQ10_spl
| multiply(sk_c3,sk_c10) = sk_c9 ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f163,plain,
( sQ1_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f80,f160,f109]) ).
fof(f164,plain,
( sQ2_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f81,f160,f113]) ).
fof(f165,plain,
( sQ3_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f82,f160,f117]) ).
fof(f166,plain,
( sQ4_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f83,f160,f121]) ).
fof(f167,plain,
( sQ5_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f84,f160,f125]) ).
fof(f168,plain,
( sQ6_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f85,f160,f129]) ).
fof(f169,definition,
( sQ11_spl
<=> multiply(sk_c10,sk_c5) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f170,plain,
( ~ sQ11_spl
| multiply(sk_c10,sk_c5) = sk_c9 ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f172,plain,
( sQ1_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f86,f169,f109]) ).
fof(f173,plain,
( sQ2_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f87,f169,f113]) ).
fof(f174,plain,
( sQ3_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f88,f169,f117]) ).
fof(f175,plain,
( sQ4_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f89,f169,f121]) ).
fof(f176,plain,
( sQ5_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f90,f169,f125]) ).
fof(f177,plain,
( sQ6_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f91,f169,f129]) ).
fof(f178,definition,
( sQ12_spl
<=> multiply(sk_c4,sk_c10) = sk_c5 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f179,plain,
( ~ sQ12_spl
| multiply(sk_c4,sk_c10) = sk_c5 ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f181,plain,
( sQ1_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f92,f178,f109]) ).
fof(f182,plain,
( sQ2_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f93,f178,f113]) ).
fof(f183,plain,
( sQ3_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f94,f178,f117]) ).
fof(f184,plain,
( sQ4_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f95,f178,f121]) ).
fof(f185,plain,
( sQ5_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f96,f178,f125]) ).
fof(f186,plain,
( sQ6_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f97,f178,f129]) ).
fof(f187,definition,
( sQ13_spl
<=> inverse(sk_c4) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f188,plain,
( ~ sQ13_spl
| inverse(sk_c4) = sk_c10 ),
inference(component_clause,[status(thm)],[f187]) ).
fof(f190,plain,
( sQ1_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f98,f187,f109]) ).
fof(f191,plain,
( sQ2_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f99,f187,f113]) ).
fof(f192,plain,
( sQ3_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f100,f187,f117]) ).
fof(f193,plain,
( sQ4_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f101,f187,f121]) ).
fof(f194,plain,
( sQ5_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f102,f187,f125]) ).
fof(f195,plain,
( sQ6_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f103,f187,f129]) ).
fof(f196,definition,
! [X0] :
( sQ14_spl
<=> ( multiply(X0,sk_c9) != sk_c10
| inverse(X0) != sk_c10 ) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f197,plain,
! [X0] :
( ~ sQ14_spl
| multiply(X0,sk_c9) != sk_c10
| inverse(X0) != sk_c10 ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f199,definition,
! [X1,X2] :
( sQ15_spl
<=> ( multiply(X2,sk_c10) != sk_c9
| inverse(X1) != X2
| multiply(X1,X2) != sk_c9 ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f200,plain,
! [X0,X1] :
( ~ sQ15_spl
| multiply(X1,sk_c10) != sk_c9
| inverse(X0) != X1
| multiply(X0,X1) != sk_c9 ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f202,definition,
! [X3,X4] :
( sQ16_spl
<=> ( inverse(X4) != sk_c10
| multiply(X4,sk_c10) != X3
| multiply(sk_c10,X3) != sk_c9 ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f203,plain,
! [X0,X1] :
( ~ sQ16_spl
| inverse(X1) != sk_c10
| multiply(X1,sk_c10) != X0
| multiply(sk_c10,X0) != sk_c9 ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f205,plain,
( ~ sQ1_spl
| sQ16_spl
| sQ15_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f105,f196,f199,f202,f109]) ).
fof(f206,plain,
! [X0] :
( ~ sQ16_spl
| inverse(X0) != sk_c10
| multiply(sk_c10,multiply(X0,sk_c10)) != sk_c9 ),
inference(destructive_equality_resolution,[status(thm)],[f203]) ).
fof(f223,plain,
( ~ sQ12_spl
| ~ sQ16_spl
| inverse(sk_c4) != sk_c10
| multiply(sk_c10,sk_c5) != sk_c9 ),
inference(paramodulation,[status(thm)],[f179,f206]) ).
fof(f224,plain,
( ~ sQ5_spl
| ~ sQ16_spl
| inverse(sk_c7) != sk_c10
| multiply(sk_c10,sk_c8) != sk_c9 ),
inference(paramodulation,[status(thm)],[f126,f206]) ).
fof(f232,plain,
( ~ sQ12_spl
| ~ sQ16_spl
| ~ sQ13_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f223,f169,f187,f202,f178]) ).
fof(f233,plain,
( ~ sQ5_spl
| ~ sQ16_spl
| ~ sQ6_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f224,f121,f129,f202,f125]) ).
fof(f234,plain,
! [X0] :
( ~ sQ15_spl
| multiply(inverse(X0),sk_c10) != sk_c9
| multiply(X0,inverse(X0)) != sk_c9 ),
inference(destructive_equality_resolution,[status(thm)],[f200]) ).
fof(f236,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| multiply(sk_c3,sk_c10) != sk_c9
| multiply(sk_c2,inverse(sk_c2)) != sk_c9 ),
inference(paramodulation,[status(thm)],[f152,f234]) ).
fof(f247,definition,
( sQ21_spl
<=> multiply(sk_c2,inverse(sk_c2)) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f249,plain,
( sQ21_spl
| multiply(sk_c2,inverse(sk_c2)) != sk_c9 ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f250,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ10_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f236,f247,f160,f199,f151]) ).
fof(f268,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f54,f55]) ).
fof(f269,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f53,f268]) ).
fof(f284,plain,
! [X0] : X0 = multiply(inverse(identity),X0),
inference(paramodulation,[status(thm)],[f53,f269]) ).
fof(f287,plain,
( ~ sQ7_spl
| sk_c9 = multiply(inverse(sk_c1),sk_c10) ),
inference(paramodulation,[status(thm)],[f134,f269]) ).
fof(f288,plain,
( ~ sQ8_spl
| sk_c3 = multiply(inverse(sk_c2),sk_c9) ),
inference(paramodulation,[status(thm)],[f143,f269]) ).
fof(f291,plain,
( ~ sQ12_spl
| sk_c10 = multiply(inverse(sk_c4),sk_c5) ),
inference(paramodulation,[status(thm)],[f179,f269]) ).
fof(f296,plain,
( ~ sQ5_spl
| sk_c10 = multiply(inverse(sk_c7),sk_c8) ),
inference(paramodulation,[status(thm)],[f126,f269]) ).
fof(f299,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| sk_c9 = multiply(sk_c10,sk_c10) ),
inference(forward_demodulation,[status(thm)],[f107,f287]) ).
fof(f300,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| sk_c3 = multiply(sk_c3,sk_c9) ),
inference(forward_demodulation,[status(thm)],[f152,f288]) ).
fof(f301,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| sk_c10 = multiply(sk_c10,sk_c5) ),
inference(forward_demodulation,[status(thm)],[f188,f291]) ).
fof(f302,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| sk_c10 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f170,f301]) ).
fof(f303,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| sk_c10 = multiply(sk_c10,sk_c8) ),
inference(forward_demodulation,[status(thm)],[f130,f296]) ).
fof(f309,plain,
( sQ1_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| inverse(sk_c9) != sk_c9 ),
inference(backward_demodulation,[status(thm)],[f302,f111]) ).
fof(f312,plain,
( ~ sQ10_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| multiply(sk_c3,sk_c9) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f302,f161]) ).
fof(f313,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| multiply(sk_c9,sk_c5) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f302,f170]) ).
fof(f316,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| inverse(sk_c1) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f302,f107]) ).
fof(f336,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| sk_c9 = multiply(sk_c9,sk_c10) ),
inference(forward_demodulation,[status(thm)],[f302,f299]) ).
fof(f337,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| sk_c9 = multiply(sk_c9,sk_c9) ),
inference(forward_demodulation,[status(thm)],[f302,f336]) ).
fof(f338,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| sk_c9 = multiply(inverse(sk_c9),sk_c9) ),
inference(paramodulation,[status(thm)],[f337,f269]) ).
fof(f340,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| sk_c9 = identity ),
inference(forward_demodulation,[status(thm)],[f54,f338]) ).
fof(f343,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| multiply(inverse(X0),X0) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f340,f54]) ).
fof(f344,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| multiply(sk_c9,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f340,f53]) ).
fof(f350,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| multiply(sk_c3,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f360,f344]) ).
fof(f357,plain,
( sQ1_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| inverse(sk_c9) != sk_c3 ),
inference(backward_demodulation,[status(thm)],[f360,f309]) ).
fof(f358,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| sk_c10 = sk_c3 ),
inference(backward_demodulation,[status(thm)],[f360,f302]) ).
fof(f360,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| sk_c3 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f312,f300]) ).
fof(f363,plain,
( sQ1_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| inverse(sk_c3) != sk_c3 ),
inference(forward_demodulation,[status(thm)],[f360,f357]) ).
fof(f364,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| multiply(sk_c3,sk_c5) = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f360,f313]) ).
fof(f365,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| multiply(sk_c3,sk_c5) = sk_c3 ),
inference(forward_demodulation,[status(thm)],[f360,f364]) ).
fof(f366,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| sk_c5 = multiply(inverse(sk_c3),sk_c3) ),
inference(paramodulation,[status(thm)],[f365,f269]) ).
fof(f368,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ0_spl
| sk_c5 = sk_c3 ),
inference(backward_demodulation,[status(thm)],[f350,f365]) ).
fof(f372,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ0_spl
| sk_c10 = sk_c5 ),
inference(backward_demodulation,[status(thm)],[f368,f358]) ).
fof(f390,plain,
( sQ1_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ0_spl
| inverse(sk_c5) != sk_c3 ),
inference(forward_demodulation,[status(thm)],[f368,f363]) ).
fof(f391,plain,
( sQ1_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ0_spl
| inverse(sk_c5) != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f368,f390]) ).
fof(f409,plain,
( ~ sQ3_spl
| sk_c9 = multiply(inverse(sk_c6),sk_c10) ),
inference(paramodulation,[status(thm)],[f118,f269]) ).
fof(f411,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| sk_c9 = multiply(sk_c10,sk_c10) ),
inference(forward_demodulation,[status(thm)],[f114,f409]) ).
fof(f412,plain,
( ~ sQ4_spl
| sk_c8 = multiply(inverse(sk_c10),sk_c9) ),
inference(paramodulation,[status(thm)],[f122,f269]) ).
fof(f414,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| sk_c8 = multiply(sk_c9,sk_c9) ),
inference(forward_demodulation,[status(thm)],[f110,f412]) ).
fof(f418,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl
| inverse(sk_c7) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f421,f130]) ).
fof(f421,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| sk_c10 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f122,f303]) ).
fof(f459,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| sk_c5 = identity ),
inference(forward_demodulation,[status(thm)],[f54,f366]) ).
fof(f460,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| identity = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f54,f343]) ).
fof(f463,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| sk_c5 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f459,f460]) ).
fof(f464,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ0_spl
| multiply(sk_c2,sk_c5) = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f368,f143]) ).
fof(f465,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ0_spl
| multiply(sk_c2,sk_c5) = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f463,f464]) ).
fof(f472,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ0_spl
| inverse(sk_c2) = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f368,f152]) ).
fof(f478,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ0_spl
| multiply(X0,sk_c9) != sk_c10
| inverse(X0) != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f372,f197]) ).
fof(f479,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ0_spl
| multiply(X0,sk_c5) != sk_c10
| inverse(X0) != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f463,f478]) ).
fof(f480,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ0_spl
| multiply(X0,sk_c5) != sk_c5
| inverse(X0) != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f372,f479]) ).
fof(f482,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ14_spl
| inverse(sk_c2) != sk_c5 ),
inference(resolution,[status(thm)],[f480,f465]) ).
fof(f486,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ14_spl
| sk_c5 != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f472,f482]) ).
fof(f487,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f486]) ).
fof(f488,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f487]) ).
fof(f495,plain,
( sQ21_spl
| ~ sQ9_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ0_spl
| multiply(sk_c2,sk_c5) != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f472,f249]) ).
fof(f496,plain,
( sQ21_spl
| ~ sQ9_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ0_spl
| sk_c5 != sk_c9 ),
inference(forward_demodulation,[status(thm)],[f465,f495]) ).
fof(f497,plain,
( sQ21_spl
| ~ sQ9_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ0_spl
| sk_c5 != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f463,f496]) ).
fof(f498,plain,
( sQ21_spl
| ~ sQ9_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f497]) ).
fof(f499,plain,
( sQ21_spl
| ~ sQ9_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ7_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f498]) ).
fof(f507,plain,
( ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| inverse(sk_c9) = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f421,f110]) ).
fof(f518,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| sk_c9 = multiply(sk_c9,sk_c10) ),
inference(forward_demodulation,[status(thm)],[f421,f411]) ).
fof(f519,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| sk_c9 = multiply(sk_c9,sk_c9) ),
inference(forward_demodulation,[status(thm)],[f421,f518]) ).
fof(f526,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| multiply(sk_c7,sk_c9) = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f421,f126]) ).
fof(f535,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ2_spl
| multiply(sk_c7,sk_c8) = sk_c8 ),
inference(backward_demodulation,[status(thm)],[f545,f526]) ).
fof(f537,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ1_spl
| sk_c9 = multiply(sk_c9,sk_c8) ),
inference(backward_demodulation,[status(thm)],[f545,f519]) ).
fof(f538,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ2_spl
| inverse(sk_c7) = sk_c8 ),
inference(backward_demodulation,[status(thm)],[f545,f418]) ).
fof(f540,plain,
( ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ2_spl
| inverse(sk_c9) = sk_c8 ),
inference(backward_demodulation,[status(thm)],[f545,f507]) ).
fof(f543,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ2_spl
| sk_c10 = sk_c8 ),
inference(backward_demodulation,[status(thm)],[f545,f421]) ).
fof(f545,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c8 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f519,f414]) ).
fof(f547,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ1_spl
| sk_c8 = multiply(sk_c9,sk_c8) ),
inference(forward_demodulation,[status(thm)],[f545,f537]) ).
fof(f548,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ1_spl
| sk_c8 = multiply(sk_c8,sk_c8) ),
inference(forward_demodulation,[status(thm)],[f545,f547]) ).
fof(f549,plain,
( ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ2_spl
| inverse(sk_c8) = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f545,f540]) ).
fof(f595,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| multiply(inverse(X0),sk_c10) != sk_c9
| multiply(X0,inverse(X0)) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f545,f234]) ).
fof(f596,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| multiply(inverse(X0),sk_c8) != sk_c9
| multiply(X0,inverse(X0)) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f543,f595]) ).
fof(f597,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| multiply(inverse(X0),sk_c8) != sk_c8
| multiply(X0,inverse(X0)) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f545,f596]) ).
fof(f598,plain,
( ~ sQ15_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| multiply(identity,inverse(identity)) != sk_c8 ),
inference(resolution,[status(thm)],[f597,f284]) ).
fof(f605,plain,
( ~ sQ15_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| inverse(identity) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f53,f598]) ).
fof(f609,definition,
( sQ29_spl
<=> sk_c8 = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f611,plain,
( sQ29_spl
| sk_c8 != sk_c8 ),
inference(component_clause,[status(thm)],[f609]) ).
fof(f647,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ2_spl
| multiply(X0,sk_c9) != sk_c10
| inverse(X0) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f543,f197]) ).
fof(f648,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ2_spl
| multiply(X0,sk_c8) != sk_c10
| inverse(X0) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f545,f647]) ).
fof(f649,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ2_spl
| multiply(X0,sk_c8) != sk_c8
| inverse(X0) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f543,f648]) ).
fof(f852,plain,
( sQ29_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f611]) ).
fof(f853,plain,
sQ29_spl,
inference(contradiction_clause,[status(thm)],[f852]) ).
fof(f866,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ14_spl
| inverse(sk_c7) != sk_c8 ),
inference(resolution,[status(thm)],[f649,f535]) ).
fof(f871,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ14_spl
| sk_c8 != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f538,f866]) ).
fof(f872,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f871]) ).
fof(f873,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f872]) ).
fof(f890,plain,
( ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ2_spl
| multiply(sk_c8,sk_c8) = identity ),
inference(paramodulation,[status(thm)],[f549,f54]) ).
fof(f895,plain,
( ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ2_spl
| sk_c8 = identity ),
inference(forward_demodulation,[status(thm)],[f548,f890]) ).
fof(f901,plain,
( ~ sQ15_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| inverse(sk_c8) != sk_c8 ),
inference(backward_demodulation,[status(thm)],[f895,f605]) ).
fof(f904,plain,
( ~ sQ15_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c8 != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f549,f901]) ).
fof(f905,plain,
( ~ sQ15_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f904]) ).
fof(f906,plain,
( ~ sQ15_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f905]) ).
fof(f908,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| sk_c5 = identity ),
inference(forward_demodulation,[status(thm)],[f463,f340]) ).
fof(f909,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| multiply(inverse(X0),X0) = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f908,f54]) ).
fof(f913,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| multiply(sk_c5,X0) = X0 ),
inference(forward_demodulation,[status(thm)],[f908,f53]) ).
fof(f931,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ7_spl
| inverse(sk_c1) = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f372,f107]) ).
fof(f932,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ7_spl
| multiply(sk_c5,sk_c1) = sk_c5 ),
inference(paramodulation,[status(thm)],[f931,f909]) ).
fof(f934,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ7_spl
| sk_c1 = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f913,f932]) ).
fof(f950,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ7_spl
| inverse(sk_c5) = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f934,f316]) ).
fof(f951,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ7_spl
| inverse(sk_c5) = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f463,f950]) ).
fof(f952,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ7_spl
| sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f951,f391]) ).
fof(f953,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ7_spl
| sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f952]) ).
fof(f954,plain,
$false,
inference(sat_refutation,[status(thm)],[f112,f116,f120,f124,f128,f132,f136,f137,f138,f139,f140,f141,f145,f146,f147,f148,f149,f150,f154,f155,f156,f157,f158,f159,f163,f164,f165,f166,f167,f168,f172,f173,f174,f175,f176,f177,f181,f182,f183,f184,f185,f186,f190,f191,f192,f193,f194,f195,f205,f232,f233,f250,f488,f499,f853,f873,f906,f953]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP221-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n020.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 20 20:07:47 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 0.11/0.39 % Refutation found
% 0.11/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.42 % Elapsed time: 0.058823 seconds
% 0.11/0.42 % CPU time: 0.209211 seconds
% 0.11/0.42 % Total memory used: 86.561 MB
% 0.11/0.42 % Net memory used: 86.438 MB
%------------------------------------------------------------------------------