%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP217-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 12:33:07 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 78
% Syntax : Number of formulae : 319 ( 12 unt; 26 def)
% Number of atoms : 1035 ( 408 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 1291 ( 575 ~; 690 |; 0 &)
% ( 26 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 27 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 77 ( 77 !; 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_c6,sk_c7) = sk_c11
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( inverse(sk_c6) = sk_c7
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c11
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( multiply(sk_c8,sk_c11) = sk_c9
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( inverse(sk_c8) = sk_c11
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c11
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( inverse(sk_c6) = sk_c7
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c11
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( multiply(sk_c8,sk_c11) = sk_c9
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( inverse(sk_c8) = sk_c11
| multiply(sk_c1,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c11
| multiply(sk_c2,sk_c3) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( inverse(sk_c6) = sk_c7
| multiply(sk_c2,sk_c3) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c11
| multiply(sk_c2,sk_c3) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c2,sk_c3) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( multiply(sk_c8,sk_c11) = sk_c9
| multiply(sk_c2,sk_c3) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( inverse(sk_c8) = sk_c11
| multiply(sk_c2,sk_c3) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c11
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
( inverse(sk_c6) = sk_c7
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c11
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
( multiply(sk_c8,sk_c11) = sk_c9
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( inverse(sk_c8) = sk_c11
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( inverse(sk_c6) = sk_c7
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
( multiply(sk_c8,sk_c11) = sk_c9
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
( inverse(sk_c8) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c11
| multiply(sk_c11,sk_c5) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
( inverse(sk_c6) = sk_c7
| multiply(sk_c11,sk_c5) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c11
| multiply(sk_c11,sk_c5) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c11,sk_c5) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
( multiply(sk_c8,sk_c11) = sk_c9
| multiply(sk_c11,sk_c5) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
( inverse(sk_c8) = sk_c11
| multiply(sk_c11,sk_c5) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c11
| multiply(sk_c4,sk_c11) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
( inverse(sk_c6) = sk_c7
| multiply(sk_c4,sk_c11) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c11
| multiply(sk_c4,sk_c11) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c4,sk_c11) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
( multiply(sk_c8,sk_c11) = sk_c9
| multiply(sk_c4,sk_c11) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
( inverse(sk_c8) = sk_c11
| multiply(sk_c4,sk_c11) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c11
| inverse(sk_c4) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
( inverse(sk_c6) = sk_c7
| inverse(sk_c4) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c11
| inverse(sk_c4) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| inverse(sk_c4) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
( multiply(sk_c8,sk_c11) = sk_c9
| inverse(sk_c4) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
( inverse(sk_c8) = sk_c11
| inverse(sk_c4) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
! [X5,X6,X7,X8,X9,X2,X1,X3,X4] :
( inverse(X4) != sk_c11
| multiply(X4,sk_c11) != X3
| multiply(sk_c11,X3) != sk_c10
| multiply(X1,sk_c10) != sk_c11
| inverse(X2) != X1
| multiply(X2,X1) != sk_c11
| inverse(X9) != sk_c11
| multiply(X9,sk_c11) != X8
| multiply(sk_c11,X8) != sk_c10
| multiply(X7,sk_c11) != sk_c10
| inverse(X6) != X7
| multiply(X6,X7) != sk_c10
| multiply(X5,sk_c10) != sk_c11
| inverse(X5) != sk_c11 ),
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,
( multiply(sk_c6,sk_c7) = sk_c11
| inverse(sk_c1) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f57,plain,
( inverse(sk_c6) = sk_c7
| inverse(sk_c1) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f58,plain,
( multiply(sk_c7,sk_c10) = sk_c11
| inverse(sk_c1) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f59,plain,
( multiply(sk_c11,sk_c9) = sk_c10
| inverse(sk_c1) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f60,plain,
( multiply(sk_c8,sk_c11) = sk_c9
| inverse(sk_c1) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f61,plain,
( inverse(sk_c8) = sk_c11
| inverse(sk_c1) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f62,plain,
( multiply(sk_c6,sk_c7) = sk_c11
| multiply(sk_c1,sk_c10) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f63,plain,
( inverse(sk_c6) = sk_c7
| multiply(sk_c1,sk_c10) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f64,plain,
( multiply(sk_c7,sk_c10) = sk_c11
| multiply(sk_c1,sk_c10) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f65,plain,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c1,sk_c10) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f66,plain,
( multiply(sk_c8,sk_c11) = sk_c9
| multiply(sk_c1,sk_c10) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f67,plain,
( inverse(sk_c8) = sk_c11
| multiply(sk_c1,sk_c10) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f68,plain,
( multiply(sk_c6,sk_c7) = sk_c11
| multiply(sk_c2,sk_c3) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f69,plain,
( inverse(sk_c6) = sk_c7
| multiply(sk_c2,sk_c3) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f70,plain,
( multiply(sk_c7,sk_c10) = sk_c11
| multiply(sk_c2,sk_c3) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f71,plain,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c2,sk_c3) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f72,plain,
( multiply(sk_c8,sk_c11) = sk_c9
| multiply(sk_c2,sk_c3) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f73,plain,
( inverse(sk_c8) = sk_c11
| multiply(sk_c2,sk_c3) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f74,plain,
( multiply(sk_c6,sk_c7) = sk_c11
| inverse(sk_c2) = sk_c3 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f75,plain,
( inverse(sk_c6) = sk_c7
| inverse(sk_c2) = sk_c3 ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f76,plain,
( multiply(sk_c7,sk_c10) = sk_c11
| inverse(sk_c2) = sk_c3 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f77,plain,
( multiply(sk_c11,sk_c9) = sk_c10
| inverse(sk_c2) = sk_c3 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f78,plain,
( multiply(sk_c8,sk_c11) = sk_c9
| inverse(sk_c2) = sk_c3 ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f79,plain,
( inverse(sk_c8) = sk_c11
| inverse(sk_c2) = sk_c3 ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f80,plain,
( multiply(sk_c6,sk_c7) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f81,plain,
( inverse(sk_c6) = sk_c7
| multiply(sk_c3,sk_c11) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f82,plain,
( multiply(sk_c7,sk_c10) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f83,plain,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f84,plain,
( multiply(sk_c8,sk_c11) = sk_c9
| multiply(sk_c3,sk_c11) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f85,plain,
( inverse(sk_c8) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f86,plain,
( multiply(sk_c6,sk_c7) = sk_c11
| multiply(sk_c11,sk_c5) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f87,plain,
( inverse(sk_c6) = sk_c7
| multiply(sk_c11,sk_c5) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f88,plain,
( multiply(sk_c7,sk_c10) = sk_c11
| multiply(sk_c11,sk_c5) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f89,plain,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c11,sk_c5) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f90,plain,
( multiply(sk_c8,sk_c11) = sk_c9
| multiply(sk_c11,sk_c5) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f91,plain,
( inverse(sk_c8) = sk_c11
| multiply(sk_c11,sk_c5) = sk_c10 ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f92,plain,
( multiply(sk_c6,sk_c7) = sk_c11
| multiply(sk_c4,sk_c11) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f93,plain,
( inverse(sk_c6) = sk_c7
| multiply(sk_c4,sk_c11) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f94,plain,
( multiply(sk_c7,sk_c10) = sk_c11
| multiply(sk_c4,sk_c11) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f95,plain,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c4,sk_c11) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f96,plain,
( multiply(sk_c8,sk_c11) = sk_c9
| multiply(sk_c4,sk_c11) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f97,plain,
( inverse(sk_c8) = sk_c11
| multiply(sk_c4,sk_c11) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f98,plain,
( multiply(sk_c6,sk_c7) = sk_c11
| inverse(sk_c4) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f99,plain,
( inverse(sk_c6) = sk_c7
| inverse(sk_c4) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f100,plain,
( multiply(sk_c7,sk_c10) = sk_c11
| inverse(sk_c4) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f101,plain,
( multiply(sk_c11,sk_c9) = sk_c10
| inverse(sk_c4) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f102,plain,
( multiply(sk_c8,sk_c11) = sk_c9
| inverse(sk_c4) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f103,plain,
( inverse(sk_c8) = sk_c11
| inverse(sk_c4) = sk_c11 ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f104,plain,
! [X4] :
( inverse(X4) != sk_c11
| ! [X3] :
( multiply(X4,sk_c11) != X3
| multiply(sk_c11,X3) != sk_c10
| ! [X1] :
( multiply(X1,sk_c10) != sk_c11
| ! [X2] :
( inverse(X2) != X1
| multiply(X2,X1) != sk_c11
| ! [X9] :
( inverse(X9) != sk_c11
| ! [X8] :
( multiply(X9,sk_c11) != X8
| multiply(sk_c11,X8) != sk_c10
| ! [X7] :
( multiply(X7,sk_c11) != sk_c10
| ! [X6] :
( inverse(X6) != X7
| multiply(X6,X7) != sk_c10
| ! [X5] :
( multiply(X5,sk_c10) != sk_c11
| inverse(X5) != sk_c11 ) ) ) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f52]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( inverse(X8) != sk_c11
| multiply(X8,sk_c11) != X7
| multiply(sk_c11,X7) != sk_c10
| multiply(X6,sk_c10) != sk_c11
| inverse(X5) != X6
| multiply(X5,X6) != sk_c11
| inverse(X4) != sk_c11
| multiply(X4,sk_c11) != X3
| multiply(sk_c11,X3) != sk_c10
| multiply(X2,sk_c11) != sk_c10
| inverse(X1) != X2
| multiply(X1,X2) != sk_c10
| multiply(X0,sk_c10) != sk_c11
| inverse(X0) != sk_c11 ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f106,definition,
( sQ0_spl
<=> inverse(sk_c1) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f107,plain,
( ~ sQ0_spl
| inverse(sk_c1) = sk_c11 ),
inference(component_clause,[status(thm)],[f106]) ).
fof(f109,definition,
( sQ1_spl
<=> multiply(sk_c6,sk_c7) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f110,plain,
( ~ sQ1_spl
| multiply(sk_c6,sk_c7) = sk_c11 ),
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_c7 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f114,plain,
( ~ sQ2_spl
| inverse(sk_c6) = sk_c7 ),
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_c7,sk_c10) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f118,plain,
( ~ sQ3_spl
| multiply(sk_c7,sk_c10) = sk_c11 ),
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_c11,sk_c9) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f122,plain,
( ~ sQ4_spl
| multiply(sk_c11,sk_c9) = sk_c10 ),
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_c8,sk_c11) = sk_c9 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f126,plain,
( ~ sQ5_spl
| multiply(sk_c8,sk_c11) = sk_c9 ),
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_c8) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f130,plain,
( ~ sQ6_spl
| inverse(sk_c8) = sk_c11 ),
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_c10) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f134,plain,
( ~ sQ7_spl
| multiply(sk_c1,sk_c10) = sk_c11 ),
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_c10 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f143,plain,
( ~ sQ8_spl
| multiply(sk_c2,sk_c3) = sk_c10 ),
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_c11) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
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_c11,sk_c5) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f170,plain,
( ~ sQ11_spl
| multiply(sk_c11,sk_c5) = sk_c10 ),
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_c11) = sk_c5 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f179,plain,
( ~ sQ12_spl
| multiply(sk_c4,sk_c11) = 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_c11 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f188,plain,
( ~ sQ13_spl
| inverse(sk_c4) = sk_c11 ),
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_c10) != sk_c11
| inverse(X0) != sk_c11 ) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f197,plain,
! [X0] :
( ~ sQ14_spl
| multiply(X0,sk_c10) != sk_c11
| inverse(X0) != sk_c11 ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f199,definition,
! [X1,X2] :
( sQ15_spl
<=> ( multiply(X2,sk_c11) != sk_c10
| inverse(X1) != X2
| multiply(X1,X2) != sk_c10 ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f200,plain,
! [X0,X1] :
( ~ sQ15_spl
| multiply(X1,sk_c11) != sk_c10
| inverse(X0) != X1
| multiply(X0,X1) != sk_c10 ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f202,definition,
! [X3,X4] :
( sQ16_spl
<=> ( inverse(X4) != sk_c11
| multiply(X4,sk_c11) != X3
| multiply(sk_c11,X3) != sk_c10 ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f203,plain,
! [X0,X1] :
( ~ sQ16_spl
| inverse(X1) != sk_c11
| multiply(X1,sk_c11) != X0
| multiply(sk_c11,X0) != sk_c10 ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f205,definition,
! [X5,X6] :
( sQ17_spl
<=> ( multiply(X6,sk_c10) != sk_c11
| inverse(X5) != X6
| multiply(X5,X6) != sk_c11 ) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f206,plain,
! [X0,X1] :
( ~ sQ17_spl
| multiply(X1,sk_c10) != sk_c11
| inverse(X0) != X1
| multiply(X0,X1) != sk_c11 ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f208,plain,
( sQ17_spl
| sQ16_spl
| sQ15_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f105,f196,f199,f202,f205]) ).
fof(f209,plain,
! [X0] :
( ~ sQ17_spl
| multiply(inverse(X0),sk_c10) != sk_c11
| multiply(X0,inverse(X0)) != sk_c11 ),
inference(destructive_equality_resolution,[status(thm)],[f206]) ).
fof(f228,plain,
( ~ sQ2_spl
| ~ sQ17_spl
| multiply(sk_c7,sk_c10) != sk_c11
| multiply(sk_c6,inverse(sk_c6)) != sk_c11 ),
inference(paramodulation,[status(thm)],[f114,f209]) ).
fof(f248,definition,
( sQ23_spl
<=> multiply(sk_c6,inverse(sk_c6)) = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f250,plain,
( sQ23_spl
| multiply(sk_c6,inverse(sk_c6)) != sk_c11 ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,plain,
( ~ sQ2_spl
| ~ sQ17_spl
| ~ sQ3_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f228,f248,f117,f205,f113]) ).
fof(f258,plain,
( sQ23_spl
| ~ sQ2_spl
| multiply(sk_c6,sk_c7) != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f114,f250]) ).
fof(f259,plain,
( sQ23_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sk_c11 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f110,f258]) ).
fof(f260,plain,
( sQ23_spl
| ~ sQ2_spl
| ~ sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f259]) ).
fof(f261,plain,
( sQ23_spl
| ~ sQ2_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f260]) ).
fof(f262,plain,
! [X0] :
( ~ sQ16_spl
| inverse(X0) != sk_c11
| multiply(sk_c11,multiply(X0,sk_c11)) != sk_c10 ),
inference(destructive_equality_resolution,[status(thm)],[f203]) ).
fof(f265,plain,
( ~ sQ12_spl
| ~ sQ16_spl
| inverse(sk_c4) != sk_c11
| multiply(sk_c11,sk_c5) != sk_c10 ),
inference(paramodulation,[status(thm)],[f179,f262]) ).
fof(f266,plain,
( ~ sQ5_spl
| ~ sQ16_spl
| inverse(sk_c8) != sk_c11
| multiply(sk_c11,sk_c9) != sk_c10 ),
inference(paramodulation,[status(thm)],[f126,f262]) ).
fof(f274,plain,
( ~ sQ12_spl
| ~ sQ16_spl
| ~ sQ13_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f265,f169,f187,f202,f178]) ).
fof(f275,plain,
( ~ sQ5_spl
| ~ sQ16_spl
| ~ sQ6_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f266,f121,f129,f202,f125]) ).
fof(f276,plain,
! [X0] :
( ~ sQ15_spl
| multiply(inverse(X0),sk_c11) != sk_c10
| multiply(X0,inverse(X0)) != sk_c10 ),
inference(destructive_equality_resolution,[status(thm)],[f200]) ).
fof(f281,plain,
( ~ sQ6_spl
| multiply(sk_c11,sk_c8) = identity ),
inference(paramodulation,[status(thm)],[f130,f54]) ).
fof(f282,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f54,f55]) ).
fof(f283,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f53,f282]) ).
fof(f291,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| multiply(sk_c3,sk_c11) != sk_c10
| multiply(sk_c2,inverse(sk_c2)) != sk_c10 ),
inference(paramodulation,[status(thm)],[f152,f276]) ).
fof(f297,definition,
( sQ28_spl
<=> identity = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f299,plain,
( sQ28_spl
| identity != sk_c10 ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f308,definition,
( sQ31_spl
<=> multiply(sk_c2,inverse(sk_c2)) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f310,plain,
( sQ31_spl
| multiply(sk_c2,inverse(sk_c2)) != sk_c10 ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f311,plain,
( ~ sQ9_spl
| ~ sQ15_spl
| ~ sQ10_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f291,f308,f160,f199,f151]) ).
fof(f312,definition,
( sQ32_spl
<=> multiply(sk_c1,inverse(sk_c1)) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f314,plain,
( sQ32_spl
| multiply(sk_c1,inverse(sk_c1)) != sk_c10 ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f316,definition,
( sQ33_spl
<=> multiply(sk_c8,inverse(sk_c8)) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f318,plain,
( sQ33_spl
| multiply(sk_c8,inverse(sk_c8)) != sk_c10 ),
inference(component_clause,[status(thm)],[f316]) ).
fof(f320,plain,
( sQ33_spl
| ~ sQ6_spl
| multiply(sk_c8,sk_c11) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f130,f318]) ).
fof(f321,plain,
( sQ33_spl
| ~ sQ6_spl
| ~ sQ5_spl
| sk_c9 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f126,f320]) ).
fof(f322,plain,
( sQ32_spl
| ~ sQ0_spl
| multiply(sk_c1,sk_c11) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f107,f314]) ).
fof(f323,plain,
( sQ31_spl
| ~ sQ9_spl
| multiply(sk_c2,sk_c3) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f152,f310]) ).
fof(f324,plain,
( sQ31_spl
| ~ sQ9_spl
| ~ sQ8_spl
| sk_c10 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f143,f323]) ).
fof(f325,plain,
( sQ31_spl
| ~ sQ9_spl
| ~ sQ8_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f324]) ).
fof(f326,plain,
( sQ31_spl
| ~ sQ9_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f325]) ).
fof(f330,plain,
( ~ sQ7_spl
| ~ sQ14_spl
| inverse(sk_c1) != sk_c11 ),
inference(resolution,[status(thm)],[f197,f134]) ).
fof(f337,plain,
( ~ sQ7_spl
| ~ sQ14_spl
| ~ sQ0_spl
| sk_c11 != sk_c11 ),
inference(forward_demodulation,[status(thm)],[f107,f330]) ).
fof(f338,plain,
( ~ sQ7_spl
| ~ sQ14_spl
| ~ sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f337]) ).
fof(f339,plain,
( ~ sQ7_spl
| ~ sQ14_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f338]) ).
fof(f348,definition,
( sQ35_spl
<=> identity = sk_c11 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f349,plain,
( ~ sQ35_spl
| identity = sk_c11 ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f350,plain,
( sQ35_spl
| identity != sk_c11 ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f381,plain,
( ~ sQ8_spl
| sk_c3 = multiply(inverse(sk_c2),sk_c10) ),
inference(paramodulation,[status(thm)],[f143,f283]) ).
fof(f384,plain,
( ~ sQ12_spl
| sk_c11 = multiply(inverse(sk_c4),sk_c5) ),
inference(paramodulation,[status(thm)],[f179,f283]) ).
fof(f390,plain,
( ~ sQ5_spl
| sk_c11 = multiply(inverse(sk_c8),sk_c9) ),
inference(paramodulation,[status(thm)],[f126,f283]) ).
fof(f397,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| sk_c3 = multiply(sk_c3,sk_c10) ),
inference(forward_demodulation,[status(thm)],[f152,f381]) ).
fof(f398,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| sk_c11 = multiply(sk_c11,sk_c5) ),
inference(forward_demodulation,[status(thm)],[f188,f384]) ).
fof(f399,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| sk_c11 = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f170,f398]) ).
fof(f402,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| sk_c11 = multiply(sk_c11,sk_c9) ),
inference(forward_demodulation,[status(thm)],[f130,f390]) ).
fof(f411,plain,
( sQ35_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| identity != sk_c10 ),
inference(backward_demodulation,[status(thm)],[f399,f350]) ).
fof(f412,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| multiply(inverse(X0),sk_c10) != sk_c10
| multiply(X0,inverse(X0)) != sk_c11 ),
inference(backward_demodulation,[status(thm)],[f399,f209]) ).
fof(f420,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| inverse(sk_c1) = sk_c10 ),
inference(backward_demodulation,[status(thm)],[f399,f107]) ).
fof(f425,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| multiply(sk_c10,sk_c5) = sk_c10 ),
inference(backward_demodulation,[status(thm)],[f399,f170]) ).
fof(f431,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| multiply(inverse(X0),sk_c10) != sk_c10
| multiply(X0,inverse(X0)) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f399,f412]) ).
fof(f446,definition,
( sQ38_spl
<=> multiply(sk_c10,sk_c10) = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f448,plain,
( sQ38_spl
| multiply(sk_c10,sk_c10) != sk_c10 ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f450,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ17_spl
| multiply(sk_c10,sk_c10) != sk_c10
| multiply(sk_c1,inverse(sk_c1)) != sk_c10 ),
inference(paramodulation,[status(thm)],[f420,f431]) ).
fof(f453,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ17_spl
| ~ sQ38_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f450,f312,f446,f205,f169,f187,f178,f106]) ).
fof(f470,definition,
( sQ40_spl
<=> sk_c10 = sk_c10 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f472,plain,
( sQ40_spl
| sk_c10 != sk_c10 ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f475,plain,
( sQ40_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f472]) ).
fof(f476,plain,
sQ40_spl,
inference(contradiction_clause,[status(thm)],[f475]) ).
fof(f478,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| sk_c10 = multiply(inverse(sk_c3),sk_c3) ),
inference(paramodulation,[status(thm)],[f397,f283]) ).
fof(f481,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| sk_c10 = identity ),
inference(forward_demodulation,[status(thm)],[f54,f478]) ).
fof(f482,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f481,f299]) ).
fof(f483,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f482]) ).
fof(f484,plain,
( sQ35_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f411,f297,f169,f187,f178,f348]) ).
fof(f485,plain,
( ~ sQ35_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| identity = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f399,f349]) ).
fof(f490,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ9_spl
| multiply(sk_c10,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f481,f53]) ).
fof(f578,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl
| inverse(sk_c8) = sk_c10 ),
inference(backward_demodulation,[status(thm)],[f582,f130]) ).
fof(f580,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| multiply(sk_c10,sk_c9) = sk_c10 ),
inference(backward_demodulation,[status(thm)],[f582,f122]) ).
fof(f581,plain,
( ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| multiply(sk_c6,sk_c7) = sk_c10 ),
inference(backward_demodulation,[status(thm)],[f582,f110]) ).
fof(f582,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| sk_c11 = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f122,f402]) ).
fof(f586,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl
| multiply(sk_c10,sk_c8) = identity ),
inference(forward_demodulation,[status(thm)],[f582,f281]) ).
fof(f594,plain,
( ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| multiply(sk_c7,sk_c10) = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f582,f118]) ).
fof(f602,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| multiply(inverse(X0),sk_c10) != sk_c10
| multiply(X0,inverse(X0)) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f582,f276]) ).
fof(f604,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ15_spl
| multiply(sk_c10,sk_c10) != sk_c10
| multiply(sk_c8,inverse(sk_c8)) != sk_c10 ),
inference(paramodulation,[status(thm)],[f578,f602]) ).
fof(f607,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ15_spl
| ~ sQ38_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f604,f316,f446,f199,f121,f125,f129]) ).
fof(f621,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| multiply(sk_c10,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f485,f53]) ).
fof(f648,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ9_spl
| inverse(sk_c1) = sk_c5 ),
inference(backward_demodulation,[status(thm)],[f653,f420]) ).
fof(f651,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ9_spl
| sk_c11 = sk_c5 ),
inference(backward_demodulation,[status(thm)],[f653,f399]) ).
fof(f653,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ8_spl
| ~ sQ9_spl
| sk_c5 = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f490,f425]) ).
fof(f660,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ9_spl
| multiply(sk_c5,X0) = X0 ),
inference(forward_demodulation,[status(thm)],[f653,f621]) ).
fof(f665,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ9_spl
| X0 = multiply(sk_c5,multiply(sk_c1,X0)) ),
inference(paramodulation,[status(thm)],[f648,f283]) ).
fof(f666,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ35_spl
| X0 = multiply(sk_c1,X0) ),
inference(forward_demodulation,[status(thm)],[f660,f665]) ).
fof(f679,plain,
( sQ38_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ8_spl
| ~ sQ9_spl
| multiply(sk_c5,sk_c10) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f653,f448]) ).
fof(f680,plain,
( sQ38_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ35_spl
| sk_c10 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f660,f679]) ).
fof(f681,plain,
( sQ38_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ35_spl
| sk_c5 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f653,f680]) ).
fof(f682,plain,
( sQ38_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ35_spl
| sk_c5 != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f653,f681]) ).
fof(f683,plain,
( sQ38_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ35_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f682]) ).
fof(f684,plain,
( sQ38_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f683]) ).
fof(f685,plain,
( sQ32_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ35_spl
| sk_c11 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f666,f322]) ).
fof(f686,plain,
( sQ32_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ35_spl
| sk_c5 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f651,f685]) ).
fof(f687,plain,
( sQ32_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ35_spl
| sk_c5 != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f653,f686]) ).
fof(f688,plain,
( sQ32_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ35_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f687]) ).
fof(f689,plain,
( sQ32_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f688]) ).
fof(f695,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f54,f55]) ).
fof(f696,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[status(thm)],[f283,f695]) ).
fof(f736,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c9 = multiply(inverse(sk_c10),sk_c10) ),
inference(paramodulation,[status(thm)],[f580,f283]) ).
fof(f738,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c9 = identity ),
inference(forward_demodulation,[status(thm)],[f54,f736]) ).
fof(f742,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| multiply(sk_c9,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f738,f696]) ).
fof(f744,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| multiply(inverse(X0),X0) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f738,f54]) ).
fof(f747,plain,
( ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| sk_c7 = multiply(inverse(sk_c6),sk_c10) ),
inference(paramodulation,[status(thm)],[f581,f283]) ).
fof(f749,plain,
( ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ2_spl
| sk_c7 = multiply(sk_c7,sk_c10) ),
inference(forward_demodulation,[status(thm)],[f114,f747]) ).
fof(f750,plain,
( ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ3_spl
| sk_c7 = sk_c10 ),
inference(forward_demodulation,[status(thm)],[f594,f749]) ).
fof(f752,plain,
( ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| multiply(sk_c10,sk_c10) = sk_c10 ),
inference(backward_demodulation,[status(thm)],[f750,f594]) ).
fof(f799,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl
| multiply(sk_c10,sk_c8) = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f738,f586]) ).
fof(f852,plain,
( ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c10 = multiply(inverse(sk_c10),sk_c10) ),
inference(paramodulation,[status(thm)],[f752,f283]) ).
fof(f854,plain,
( ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c10 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f744,f852]) ).
fof(f855,plain,
( ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f854,f321]) ).
fof(f856,plain,
( ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f855]) ).
fof(f868,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| multiply(X0,sk_c10) != sk_c11
| inverse(X0) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f582,f197]) ).
fof(f869,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| multiply(X0,sk_c10) != sk_c10
| inverse(X0) != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f582,f868]) ).
fof(f902,plain,
( sQ38_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c10 != sk_c10 ),
inference(forward_demodulation,[status(thm)],[f752,f448]) ).
fof(f903,plain,
( sQ38_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f902]) ).
fof(f904,plain,
( sQ38_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f903]) ).
fof(f917,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| multiply(sk_c9,sk_c8) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f854,f799]) ).
fof(f921,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| inverse(sk_c8) = sk_c9 ),
inference(backward_demodulation,[status(thm)],[f854,f578]) ).
fof(f927,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c8 = sk_c9 ),
inference(forward_demodulation,[status(thm)],[f742,f917]) ).
fof(f945,plain,
( ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c10 = sk_c8 ),
inference(backward_demodulation,[status(thm)],[f927,f854]) ).
fof(f948,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| multiply(sk_c8,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f927,f742]) ).
fof(f969,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| multiply(X0,sk_c10) != sk_c10
| inverse(X0) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f945,f869]) ).
fof(f970,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| multiply(X0,sk_c8) != sk_c10
| inverse(X0) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f945,f969]) ).
fof(f971,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| multiply(X0,sk_c8) != sk_c8
| inverse(X0) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f945,f970]) ).
fof(f980,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| inverse(sk_c8) = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f927,f921]) ).
fof(f983,plain,
( ~ sQ14_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| inverse(sk_c8) != sk_c8 ),
inference(resolution,[status(thm)],[f948,f971]) ).
fof(f987,plain,
( ~ sQ14_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c8 != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f980,f983]) ).
fof(f988,plain,
( ~ sQ14_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f987]) ).
fof(f989,plain,
( ~ sQ14_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f988]) ).
fof(f990,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,f208,f251,f261,f274,f275,f311,f326,f339,f453,f476,f483,f484,f607,f684,f689,f856,f904,f989]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP217-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n017.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:01:56 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.44 % Elapsed time: 0.074561 seconds
% 0.13/0.44 % CPU time: 0.261936 seconds
% 0.13/0.44 % Total memory used: 106.515 MB
% 0.13/0.44 % Net memory used: 106.356 MB
%------------------------------------------------------------------------------