%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP391-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 12:33:36 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.42s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 59
% Syntax : Number of formulae : 313 ( 11 unt; 27 def)
% Number of atoms : 1174 ( 347 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1633 ( 772 ~; 834 |; 0 &)
% ( 27 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 28 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 59 ( 59 !; 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_c3,sk_c8) = sk_c7
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c6
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c6
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c6
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c2,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c6
| multiply(sk_c2,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c2,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
! [X3,X4,X1,X2,X5] :
( multiply(X5,sk_c8) != sk_c6
| inverse(X5) != sk_c6
| inverse(X2) != sk_c7
| multiply(X2,sk_c7) != sk_c6
| inverse(X1) != sk_c8
| multiply(X1,sk_c8) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c8
| multiply(X4,sk_c7) != sk_c8
| inverse(X3) != X4
| multiply(X3,X4) != sk_c8
| inverse(sk_c6) != sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,plain,
! [X0] : multiply(identity,X0) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f36,plain,
! [X0] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f37,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f38,plain,
( multiply(sk_c3,sk_c8) = sk_c7
| inverse(sk_c6) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f39,plain,
( inverse(sk_c3) = sk_c8
| inverse(sk_c6) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f40,plain,
( multiply(sk_c4,sk_c7) = sk_c6
| inverse(sk_c6) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f41,plain,
( inverse(sk_c4) = sk_c7
| inverse(sk_c6) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f42,plain,
( inverse(sk_c5) = sk_c6
| inverse(sk_c6) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f43,plain,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c6) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f44,plain,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c1,sk_c2) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f45,plain,
( inverse(sk_c3) = sk_c8
| multiply(sk_c1,sk_c2) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f46,plain,
( multiply(sk_c4,sk_c7) = sk_c6
| multiply(sk_c1,sk_c2) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f47,plain,
( inverse(sk_c4) = sk_c7
| multiply(sk_c1,sk_c2) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f48,plain,
( inverse(sk_c5) = sk_c6
| multiply(sk_c1,sk_c2) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f49,plain,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c1,sk_c2) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f50,plain,
( multiply(sk_c3,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f51,plain,
( inverse(sk_c3) = sk_c8
| inverse(sk_c1) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f52,plain,
( multiply(sk_c4,sk_c7) = sk_c6
| inverse(sk_c1) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f53,plain,
( inverse(sk_c4) = sk_c7
| inverse(sk_c1) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f54,plain,
( inverse(sk_c5) = sk_c6
| inverse(sk_c1) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f55,plain,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c2 ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f56,plain,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f57,plain,
( inverse(sk_c3) = sk_c8
| multiply(sk_c2,sk_c7) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f58,plain,
( multiply(sk_c4,sk_c7) = sk_c6
| multiply(sk_c2,sk_c7) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f59,plain,
( inverse(sk_c4) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f60,plain,
( inverse(sk_c5) = sk_c6
| multiply(sk_c2,sk_c7) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f62,plain,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f63,plain,
( inverse(sk_c3) = sk_c8
| multiply(sk_c6,sk_c7) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f64,plain,
( multiply(sk_c4,sk_c7) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f65,plain,
( inverse(sk_c4) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f66,plain,
( inverse(sk_c5) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f68,plain,
! [X5] :
( multiply(X5,sk_c8) != sk_c6
| inverse(X5) != sk_c6
| ! [X2] :
( inverse(X2) != sk_c7
| multiply(X2,sk_c7) != sk_c6
| ! [X1] :
( inverse(X1) != sk_c8
| multiply(X1,sk_c8) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c8
| ! [X4] :
( multiply(X4,sk_c7) != sk_c8
| ! [X3] :
( inverse(X3) != X4
| multiply(X3,X4) != sk_c8
| inverse(sk_c6) != sk_c8 ) ) ) ) ),
inference(miniscoping,[status(thm)],[f34]) ).
fof(f69,plain,
! [X0,X1,X2,X3,X4] :
( multiply(X4,sk_c8) != sk_c6
| inverse(X4) != sk_c6
| inverse(X3) != sk_c7
| multiply(X3,sk_c7) != sk_c6
| inverse(X2) != sk_c8
| multiply(X2,sk_c8) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c8
| multiply(X1,sk_c7) != sk_c8
| inverse(X0) != X1
| multiply(X0,X1) != sk_c8
| inverse(sk_c6) != sk_c8 ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f70,definition,
( sQ0_spl
<=> inverse(sk_c6) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f71,plain,
( ~ sQ0_spl
| inverse(sk_c6) = sk_c8 ),
inference(component_clause,[status(thm)],[f70]) ).
fof(f72,plain,
( sQ0_spl
| inverse(sk_c6) != sk_c8 ),
inference(component_clause,[status(thm)],[f70]) ).
fof(f73,definition,
( sQ1_spl
<=> multiply(sk_c3,sk_c8) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f74,plain,
( ~ sQ1_spl
| multiply(sk_c3,sk_c8) = sk_c7 ),
inference(component_clause,[status(thm)],[f73]) ).
fof(f76,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f38,f70,f73]) ).
fof(f77,definition,
( sQ2_spl
<=> inverse(sk_c3) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f78,plain,
( ~ sQ2_spl
| inverse(sk_c3) = sk_c8 ),
inference(component_clause,[status(thm)],[f77]) ).
fof(f80,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f39,f70,f77]) ).
fof(f81,definition,
( sQ3_spl
<=> multiply(sk_c4,sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f82,plain,
( ~ sQ3_spl
| multiply(sk_c4,sk_c7) = sk_c6 ),
inference(component_clause,[status(thm)],[f81]) ).
fof(f84,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f40,f70,f81]) ).
fof(f85,definition,
( sQ4_spl
<=> inverse(sk_c4) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f86,plain,
( ~ sQ4_spl
| inverse(sk_c4) = sk_c7 ),
inference(component_clause,[status(thm)],[f85]) ).
fof(f88,plain,
( sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f41,f70,f85]) ).
fof(f89,definition,
( sQ5_spl
<=> inverse(sk_c5) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f90,plain,
( ~ sQ5_spl
| inverse(sk_c5) = sk_c6 ),
inference(component_clause,[status(thm)],[f89]) ).
fof(f92,plain,
( sQ5_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f42,f70,f89]) ).
fof(f93,definition,
( sQ6_spl
<=> multiply(sk_c5,sk_c8) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f94,plain,
( ~ sQ6_spl
| multiply(sk_c5,sk_c8) = sk_c6 ),
inference(component_clause,[status(thm)],[f93]) ).
fof(f96,plain,
( sQ6_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f43,f70,f93]) ).
fof(f97,definition,
( sQ7_spl
<=> multiply(sk_c1,sk_c2) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f98,plain,
( ~ sQ7_spl
| multiply(sk_c1,sk_c2) = sk_c8 ),
inference(component_clause,[status(thm)],[f97]) ).
fof(f100,plain,
( sQ1_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f44,f97,f73]) ).
fof(f101,plain,
( sQ2_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f45,f97,f77]) ).
fof(f102,plain,
( sQ3_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f46,f97,f81]) ).
fof(f103,plain,
( sQ4_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f47,f97,f85]) ).
fof(f104,plain,
( sQ5_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f48,f97,f89]) ).
fof(f105,plain,
( sQ6_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f49,f97,f93]) ).
fof(f106,definition,
( sQ8_spl
<=> inverse(sk_c1) = sk_c2 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f107,plain,
( ~ sQ8_spl
| inverse(sk_c1) = sk_c2 ),
inference(component_clause,[status(thm)],[f106]) ).
fof(f109,plain,
( sQ1_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f50,f106,f73]) ).
fof(f110,plain,
( sQ2_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f51,f106,f77]) ).
fof(f111,plain,
( sQ3_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f52,f106,f81]) ).
fof(f112,plain,
( sQ4_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f53,f106,f85]) ).
fof(f113,plain,
( sQ5_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f54,f106,f89]) ).
fof(f114,plain,
( sQ6_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f55,f106,f93]) ).
fof(f115,definition,
( sQ9_spl
<=> multiply(sk_c2,sk_c7) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f116,plain,
( ~ sQ9_spl
| multiply(sk_c2,sk_c7) = sk_c8 ),
inference(component_clause,[status(thm)],[f115]) ).
fof(f118,plain,
( sQ1_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f56,f115,f73]) ).
fof(f119,plain,
( sQ2_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f57,f115,f77]) ).
fof(f120,plain,
( sQ3_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f58,f115,f81]) ).
fof(f121,plain,
( sQ4_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f59,f115,f85]) ).
fof(f122,plain,
( sQ5_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f60,f115,f89]) ).
fof(f124,definition,
( sQ10_spl
<=> multiply(sk_c6,sk_c7) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f125,plain,
( ~ sQ10_spl
| multiply(sk_c6,sk_c7) = sk_c8 ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f126,plain,
( sQ10_spl
| multiply(sk_c6,sk_c7) != sk_c8 ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f127,plain,
( sQ1_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f62,f124,f73]) ).
fof(f128,plain,
( sQ2_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f63,f124,f77]) ).
fof(f129,plain,
( sQ3_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f64,f124,f81]) ).
fof(f130,plain,
( sQ4_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f65,f124,f85]) ).
fof(f131,plain,
( sQ5_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f66,f124,f89]) ).
fof(f133,definition,
! [X0,X1] :
( sQ11_spl
<=> ( multiply(X1,sk_c7) != sk_c8
| inverse(X0) != X1
| multiply(X0,X1) != sk_c8 ) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f134,plain,
! [X0,X1] :
( ~ sQ11_spl
| multiply(X1,sk_c7) != sk_c8
| inverse(X0) != X1
| multiply(X0,X1) != sk_c8 ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f136,definition,
! [X2] :
( sQ12_spl
<=> ( inverse(X2) != sk_c8
| multiply(X2,sk_c8) != sk_c7 ) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f137,plain,
! [X0] :
( ~ sQ12_spl
| inverse(X0) != sk_c8
| multiply(X0,sk_c8) != sk_c7 ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f139,definition,
! [X3] :
( sQ13_spl
<=> ( inverse(X3) != sk_c7
| multiply(X3,sk_c7) != sk_c6 ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f140,plain,
! [X0] :
( ~ sQ13_spl
| inverse(X0) != sk_c7
| multiply(X0,sk_c7) != sk_c6 ),
inference(component_clause,[status(thm)],[f139]) ).
fof(f142,definition,
! [X4] :
( sQ14_spl
<=> ( multiply(X4,sk_c8) != sk_c6
| inverse(X4) != sk_c6 ) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f143,plain,
! [X0] :
( ~ sQ14_spl
| multiply(X0,sk_c8) != sk_c6
| inverse(X0) != sk_c6 ),
inference(component_clause,[status(thm)],[f142]) ).
fof(f145,plain,
( sQ14_spl
| sQ13_spl
| sQ12_spl
| ~ sQ10_spl
| sQ11_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f69,f70,f133,f124,f136,f139,f142]) ).
fof(f146,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| inverse(sk_c5) != sk_c6 ),
inference(resolution,[status(thm)],[f143,f94]) ).
fof(f147,plain,
( ~ sQ1_spl
| ~ sQ14_spl
| sk_c7 != sk_c6
| inverse(sk_c3) != sk_c6 ),
inference(paramodulation,[status(thm)],[f74,f143]) ).
fof(f149,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| ~ sQ5_spl
| sk_c6 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f90,f146]) ).
fof(f150,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| ~ sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f149]) ).
fof(f151,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f150]) ).
fof(f152,plain,
! [X0] :
( ~ sQ11_spl
| multiply(inverse(X0),sk_c7) != sk_c8
| multiply(X0,inverse(X0)) != sk_c8 ),
inference(destructive_equality_resolution,[status(thm)],[f134]) ).
fof(f153,plain,
( ~ sQ3_spl
| ~ sQ13_spl
| inverse(sk_c4) != sk_c7 ),
inference(resolution,[status(thm)],[f140,f82]) ).
fof(f154,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| inverse(sk_c6) != sk_c7
| sk_c8 != sk_c6 ),
inference(paramodulation,[status(thm)],[f125,f140]) ).
fof(f157,plain,
( ~ sQ3_spl
| ~ sQ13_spl
| ~ sQ4_spl
| sk_c7 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f86,f153]) ).
fof(f158,plain,
( ~ sQ3_spl
| ~ sQ13_spl
| ~ sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f157]) ).
fof(f159,plain,
( ~ sQ3_spl
| ~ sQ13_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f158]) ).
fof(f160,plain,
( ~ sQ1_spl
| ~ sQ12_spl
| inverse(sk_c3) != sk_c8 ),
inference(resolution,[status(thm)],[f137,f74]) ).
fof(f163,plain,
( ~ sQ1_spl
| ~ sQ12_spl
| ~ sQ2_spl
| sk_c8 != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f78,f160]) ).
fof(f164,plain,
( ~ sQ1_spl
| ~ sQ12_spl
| ~ sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f163]) ).
fof(f165,plain,
( ~ sQ1_spl
| ~ sQ12_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f164]) ).
fof(f167,plain,
! [X0] :
( ~ sQ10_spl
| multiply(sk_c8,X0) = multiply(sk_c6,multiply(sk_c7,X0)) ),
inference(paramodulation,[status(thm)],[f125,f37]) ).
fof(f175,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| multiply(sk_c8,sk_c7) != sk_c8
| multiply(sk_c6,inverse(sk_c6)) != sk_c8 ),
inference(paramodulation,[status(thm)],[f71,f152]) ).
fof(f176,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| multiply(sk_c2,sk_c7) != sk_c8
| multiply(sk_c1,inverse(sk_c1)) != sk_c8 ),
inference(paramodulation,[status(thm)],[f107,f152]) ).
fof(f177,definition,
( sQ15_spl
<=> multiply(sk_c6,inverse(sk_c6)) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f179,plain,
( sQ15_spl
| multiply(sk_c6,inverse(sk_c6)) != sk_c8 ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f180,definition,
( sQ16_spl
<=> multiply(sk_c8,sk_c7) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f182,plain,
( sQ16_spl
| multiply(sk_c8,sk_c7) != sk_c8 ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f183,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ16_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f175,f177,f180,f133,f70]) ).
fof(f184,definition,
( sQ17_spl
<=> multiply(sk_c1,inverse(sk_c1)) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f186,plain,
( sQ17_spl
| multiply(sk_c1,inverse(sk_c1)) != sk_c8 ),
inference(component_clause,[status(thm)],[f184]) ).
fof(f187,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f176,f184,f115,f133,f106]) ).
fof(f188,plain,
( sQ17_spl
| ~ sQ8_spl
| multiply(sk_c1,sk_c2) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f107,f186]) ).
fof(f189,plain,
( sQ17_spl
| ~ sQ8_spl
| ~ sQ7_spl
| sk_c8 != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f98,f188]) ).
fof(f190,plain,
( sQ17_spl
| ~ sQ8_spl
| ~ sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f189]) ).
fof(f191,plain,
( sQ17_spl
| ~ sQ8_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f190]) ).
fof(f195,plain,
( ~ sQ2_spl
| multiply(sk_c8,sk_c3) = identity ),
inference(paramodulation,[status(thm)],[f78,f36]) ).
fof(f197,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f36,f37]) ).
fof(f198,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f35,f197]) ).
fof(f219,plain,
( ~ sQ1_spl
| sk_c8 = multiply(inverse(sk_c3),sk_c7) ),
inference(paramodulation,[status(thm)],[f74,f198]) ).
fof(f220,plain,
( ~ sQ3_spl
| sk_c7 = multiply(inverse(sk_c4),sk_c6) ),
inference(paramodulation,[status(thm)],[f82,f198]) ).
fof(f225,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| sk_c8 = multiply(sk_c8,sk_c7) ),
inference(forward_demodulation,[status(thm)],[f78,f219]) ).
fof(f226,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| sk_c7 = multiply(sk_c7,sk_c6) ),
inference(forward_demodulation,[status(thm)],[f86,f220]) ).
fof(f235,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| sk_c7 = multiply(inverse(sk_c8),sk_c8) ),
inference(paramodulation,[status(thm)],[f225,f198]) ).
fof(f237,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| sk_c7 = identity ),
inference(forward_demodulation,[status(thm)],[f36,f235]) ).
fof(f240,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| multiply(sk_c8,sk_c3) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f237,f195]) ).
fof(f243,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| multiply(inverse(X0),X0) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f237,f36]) ).
fof(f244,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| multiply(sk_c7,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f237,f35]) ).
fof(f255,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ2_spl
| multiply(sk_c8,X0) = multiply(sk_c6,X0) ),
inference(forward_demodulation,[status(thm)],[f244,f167]) ).
fof(f259,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c8,X0) = multiply(sk_c7,X0) ),
inference(backward_demodulation,[status(thm)],[f264,f255]) ).
fof(f260,plain,
( sQ0_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| inverse(sk_c7) != sk_c8 ),
inference(backward_demodulation,[status(thm)],[f264,f72]) ).
fof(f261,plain,
( ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| inverse(sk_c5) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f264,f90]) ).
fof(f264,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c7 = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f244,f226]) ).
fof(f265,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c8,X0) = X0 ),
inference(forward_demodulation,[status(thm)],[f244,f259]) ).
fof(f266,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c8 = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f265,f225]) ).
fof(f274,plain,
( sQ0_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| inverse(sk_c7) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f266,f260]) ).
fof(f275,plain,
( ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| multiply(sk_c7,sk_c5) = sk_c7 ),
inference(paramodulation,[status(thm)],[f261,f243]) ).
fof(f277,plain,
( ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c5 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f244,f275]) ).
fof(f279,plain,
( ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| inverse(sk_c5) = sk_c5 ),
inference(backward_demodulation,[status(thm)],[f277,f261]) ).
fof(f280,plain,
( sQ0_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ5_spl
| inverse(sk_c7) != sk_c5 ),
inference(backward_demodulation,[status(thm)],[f277,f274]) ).
fof(f281,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| sk_c8 = sk_c5 ),
inference(backward_demodulation,[status(thm)],[f277,f266]) ).
fof(f282,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| sk_c5 = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f277,f264]) ).
fof(f287,plain,
( sQ0_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ5_spl
| inverse(sk_c5) != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f277,f280]) ).
fof(f294,plain,
( sQ0_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ5_spl
| sk_c5 != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f279,f287]) ).
fof(f295,plain,
( sQ0_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f294]) ).
fof(f296,plain,
( sQ0_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f295]) ).
fof(f298,definition,
( sQ18_spl
<=> sk_c7 = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f300,plain,
( sQ18_spl
| sk_c7 != sk_c7 ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f302,definition,
( sQ19_spl
<=> sk_c6 = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f303,plain,
( ~ sQ19_spl
| sk_c6 = sk_c7 ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f304,plain,
( sQ19_spl
| sk_c6 != sk_c7 ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f309,plain,
( sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f300]) ).
fof(f310,plain,
sQ18_spl,
inference(contradiction_clause,[status(thm)],[f309]) ).
fof(f311,definition,
( sQ21_spl
<=> sk_c8 = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f312,plain,
( ~ sQ21_spl
| sk_c8 = sk_c6 ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f313,plain,
( sQ21_spl
| sk_c8 != sk_c6 ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f314,definition,
( sQ22_spl
<=> inverse(sk_c6) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f316,plain,
( sQ22_spl
| inverse(sk_c6) != sk_c7 ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f317,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| ~ sQ22_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f154,f311,f314,f139,f124]) ).
fof(f318,definition,
( sQ23_spl
<=> sk_c6 = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f320,plain,
( sQ23_spl
| sk_c6 != sk_c6 ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f326,plain,
( sQ23_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f320]) ).
fof(f327,plain,
sQ23_spl,
inference(contradiction_clause,[status(thm)],[f326]) ).
fof(f328,plain,
( ~ sQ7_spl
| sk_c2 = multiply(inverse(sk_c1),sk_c8) ),
inference(paramodulation,[status(thm)],[f98,f198]) ).
fof(f330,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| sk_c2 = multiply(sk_c2,sk_c8) ),
inference(forward_demodulation,[status(thm)],[f107,f328]) ).
fof(f336,plain,
( sQ22_spl
| ~ sQ0_spl
| sk_c8 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f71,f316]) ).
fof(f339,plain,
( ~ sQ10_spl
| sk_c7 = multiply(inverse(sk_c6),sk_c8) ),
inference(paramodulation,[status(thm)],[f125,f198]) ).
fof(f341,plain,
( ~ sQ10_spl
| ~ sQ0_spl
| sk_c7 = multiply(sk_c8,sk_c8) ),
inference(forward_demodulation,[status(thm)],[f71,f339]) ).
fof(f361,plain,
( ~ sQ12_spl
| inverse(identity) != sk_c8
| sk_c8 != sk_c7 ),
inference(paramodulation,[status(thm)],[f35,f137]) ).
fof(f365,definition,
( sQ25_spl
<=> sk_c8 = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f367,plain,
( sQ25_spl
| sk_c8 != sk_c7 ),
inference(component_clause,[status(thm)],[f365]) ).
fof(f368,definition,
( sQ26_spl
<=> inverse(identity) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f370,plain,
( sQ26_spl
| inverse(identity) != sk_c8 ),
inference(component_clause,[status(thm)],[f368]) ).
fof(f371,plain,
( ~ sQ12_spl
| ~ sQ26_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f361,f365,f368,f136]) ).
fof(f376,definition,
( sQ28_spl
<=> identity = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f378,plain,
( sQ28_spl
| identity != sk_c7 ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f418,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| sk_c8 = multiply(inverse(sk_c2),sk_c2) ),
inference(paramodulation,[status(thm)],[f330,f198]) ).
fof(f427,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| sk_c8 = identity ),
inference(forward_demodulation,[status(thm)],[f36,f418]) ).
fof(f433,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ8_spl
| multiply(inverse(X0),X0) = sk_c8 ),
inference(backward_demodulation,[status(thm)],[f427,f36]) ).
fof(f436,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ8_spl
| multiply(sk_c8,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f427,f35]) ).
fof(f446,plain,
( ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ8_spl
| sk_c7 = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f436,f341]) ).
fof(f447,plain,
( ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ8_spl
| sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f446,f336]) ).
fof(f448,plain,
( ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ8_spl
| sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f447]) ).
fof(f452,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ8_spl
| multiply(sk_c8,sk_c6) = sk_c8 ),
inference(paramodulation,[status(thm)],[f71,f433]) ).
fof(f457,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ8_spl
| sk_c6 = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f436,f452]) ).
fof(f458,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ8_spl
| sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f457,f313]) ).
fof(f459,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ8_spl
| sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f458]) ).
fof(f464,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ7_spl
| ~ sQ8_spl
| sk_c3 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f436,f240]) ).
fof(f473,definition,
( sQ36_spl
<=> inverse(sk_c3) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f475,plain,
( sQ36_spl
| inverse(sk_c3) != sk_c6 ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f476,plain,
( ~ sQ1_spl
| ~ sQ14_spl
| ~ sQ19_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f147,f473,f302,f142,f73]) ).
fof(f485,plain,
( sQ15_spl
| ~ sQ0_spl
| multiply(sk_c6,sk_c8) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f71,f179]) ).
fof(f499,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c5,X0) = X0 ),
inference(forward_demodulation,[status(thm)],[f277,f244]) ).
fof(f550,plain,
( ~ sQ6_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c8 = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f499,f94]) ).
fof(f563,plain,
( sQ15_spl
| ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| multiply(sk_c5,sk_c8) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f282,f485]) ).
fof(f564,plain,
( sQ15_spl
| ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| sk_c8 != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f499,f563]) ).
fof(f569,plain,
( sQ16_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| multiply(sk_c5,sk_c7) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f281,f182]) ).
fof(f570,plain,
( sQ16_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| sk_c7 != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f499,f569]) ).
fof(f571,plain,
( sQ16_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| sk_c5 != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f277,f570]) ).
fof(f572,plain,
( sQ16_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| sk_c5 != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f281,f571]) ).
fof(f573,plain,
( sQ16_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f572]) ).
fof(f574,plain,
( sQ16_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f573]) ).
fof(f577,plain,
( sQ15_spl
| ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f564]) ).
fof(f578,plain,
( sQ15_spl
| ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f577]) ).
fof(f579,plain,
( ~ sQ6_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f550,f311,f85,f81,f89,f77,f73,f93]) ).
fof(f580,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sk_c5 = identity ),
inference(backward_demodulation,[status(thm)],[f277,f237]) ).
fof(f581,plain,
( sQ19_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| sk_c5 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f282,f304]) ).
fof(f582,plain,
( sQ19_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| sk_c5 != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f277,f581]) ).
fof(f583,plain,
( sQ19_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f582]) ).
fof(f584,plain,
( sQ19_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f583]) ).
fof(f590,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| sk_c7 = identity ),
inference(forward_demodulation,[status(thm)],[f243,f36]) ).
fof(f591,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| multiply(sk_c7,X0) = X0 ),
inference(forward_demodulation,[status(thm)],[f590,f35]) ).
fof(f600,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ10_spl
| sk_c6 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f446,f457]) ).
fof(f602,plain,
( sQ19_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ10_spl
| sk_c7 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f600,f304]) ).
fof(f603,plain,
( sQ19_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f602]) ).
fof(f604,plain,
( sQ19_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f603]) ).
fof(f605,plain,
( sQ36_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ7_spl
| ~ sQ8_spl
| inverse(sk_c7) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f464,f475]) ).
fof(f606,plain,
( sQ36_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| ~ sQ10_spl
| inverse(sk_c7) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f600,f605]) ).
fof(f612,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ10_spl
| inverse(sk_c7) = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f600,f71]) ).
fof(f621,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| multiply(sk_c7,sk_c4) = sk_c7 ),
inference(paramodulation,[status(thm)],[f86,f243]) ).
fof(f623,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c4 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f591,f621]) ).
fof(f629,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| sk_c4 = identity ),
inference(backward_demodulation,[status(thm)],[f623,f590]) ).
fof(f662,plain,
( sQ28_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| sk_c4 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f629,f378]) ).
fof(f663,plain,
( sQ28_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| sk_c4 != sk_c4 ),
inference(forward_demodulation,[status(thm)],[f623,f662]) ).
fof(f664,plain,
( sQ28_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f663]) ).
fof(f665,plain,
( sQ28_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f664]) ).
fof(f669,plain,
( ~ sQ21_spl
| ~ sQ19_spl
| sk_c8 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f303,f312]) ).
fof(f671,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ7_spl
| ~ sQ8_spl
| inverse(sk_c7) = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f464,f78]) ).
fof(f672,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ21_spl
| ~ sQ19_spl
| inverse(sk_c7) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f669,f671]) ).
fof(f674,plain,
( ~ sQ9_spl
| ~ sQ21_spl
| ~ sQ19_spl
| multiply(sk_c2,sk_c7) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f669,f116]) ).
fof(f677,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ21_spl
| ~ sQ19_spl
| sk_c7 = identity ),
inference(forward_demodulation,[status(thm)],[f669,f427]) ).
fof(f678,plain,
( sQ36_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| ~ sQ10_spl
| ~ sQ21_spl
| ~ sQ19_spl
| sk_c7 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f672,f606]) ).
fof(f679,plain,
( sQ36_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| ~ sQ10_spl
| ~ sQ21_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f678]) ).
fof(f680,plain,
( sQ36_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| ~ sQ10_spl
| ~ sQ21_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f679]) ).
fof(f681,plain,
( sQ25_spl
| ~ sQ21_spl
| ~ sQ19_spl
| sk_c7 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f669,f367]) ).
fof(f682,plain,
( sQ25_spl
| ~ sQ21_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f681]) ).
fof(f683,plain,
( sQ25_spl
| ~ sQ21_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f682]) ).
fof(f684,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ21_spl
| ~ sQ19_spl
| inverse(sk_c7) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f669,f612]) ).
fof(f687,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ19_spl
| multiply(X0,sk_c8) != sk_c6
| inverse(X0) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f303,f143]) ).
fof(f688,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ19_spl
| ~ sQ21_spl
| multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f669,f687]) ).
fof(f689,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ19_spl
| ~ sQ21_spl
| multiply(X0,sk_c7) != sk_c7
| inverse(X0) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f303,f688]) ).
fof(f692,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ21_spl
| ~ sQ19_spl
| multiply(sk_c7,X0) = X0 ),
inference(forward_demodulation,[status(thm)],[f669,f436]) ).
fof(f709,plain,
( ~ sQ7_spl
| ~ sQ21_spl
| ~ sQ19_spl
| multiply(sk_c1,sk_c2) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f669,f98]) ).
fof(f710,plain,
( ~ sQ7_spl
| ~ sQ21_spl
| ~ sQ19_spl
| sk_c2 = multiply(inverse(sk_c1),sk_c7) ),
inference(paramodulation,[status(thm)],[f709,f198]) ).
fof(f712,plain,
( ~ sQ7_spl
| ~ sQ21_spl
| ~ sQ19_spl
| ~ sQ8_spl
| sk_c2 = multiply(sk_c2,sk_c7) ),
inference(forward_demodulation,[status(thm)],[f107,f710]) ).
fof(f713,plain,
( ~ sQ7_spl
| ~ sQ21_spl
| ~ sQ19_spl
| ~ sQ8_spl
| ~ sQ9_spl
| sk_c2 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f674,f712]) ).
fof(f719,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ21_spl
| ~ sQ19_spl
| ~ sQ9_spl
| multiply(sk_c2,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f713,f692]) ).
fof(f721,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ21_spl
| ~ sQ19_spl
| ~ sQ9_spl
| sk_c2 = identity ),
inference(backward_demodulation,[status(thm)],[f713,f677]) ).
fof(f723,plain,
( ~ sQ21_spl
| ~ sQ19_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| sk_c8 = sk_c2 ),
inference(backward_demodulation,[status(thm)],[f713,f669]) ).
fof(f727,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ21_spl
| ~ sQ19_spl
| ~ sQ9_spl
| inverse(sk_c2) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f713,f684]) ).
fof(f728,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ21_spl
| ~ sQ19_spl
| ~ sQ9_spl
| inverse(sk_c2) = sk_c2 ),
inference(forward_demodulation,[status(thm)],[f713,f727]) ).
fof(f748,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ19_spl
| ~ sQ21_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| multiply(X0,sk_c7) != sk_c7
| inverse(X0) != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f713,f689]) ).
fof(f749,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ19_spl
| ~ sQ21_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| multiply(X0,sk_c2) != sk_c7
| inverse(X0) != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f713,f748]) ).
fof(f750,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ19_spl
| ~ sQ21_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| multiply(X0,sk_c2) != sk_c2
| inverse(X0) != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f713,f749]) ).
fof(f751,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ21_spl
| ~ sQ19_spl
| ~ sQ9_spl
| ~ sQ14_spl
| inverse(sk_c2) != sk_c2 ),
inference(resolution,[status(thm)],[f750,f719]) ).
fof(f756,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ21_spl
| ~ sQ19_spl
| ~ sQ9_spl
| ~ sQ14_spl
| ~ sQ0_spl
| ~ sQ10_spl
| sk_c2 != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f728,f751]) ).
fof(f757,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ21_spl
| ~ sQ19_spl
| ~ sQ9_spl
| ~ sQ14_spl
| ~ sQ0_spl
| ~ sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f756]) ).
fof(f758,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ21_spl
| ~ sQ19_spl
| ~ sQ9_spl
| ~ sQ14_spl
| ~ sQ0_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f757]) ).
fof(f759,plain,
( sQ26_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ21_spl
| ~ sQ19_spl
| ~ sQ9_spl
| inverse(sk_c2) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f721,f370]) ).
fof(f760,plain,
( sQ26_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ21_spl
| ~ sQ19_spl
| ~ sQ9_spl
| ~ sQ0_spl
| ~ sQ10_spl
| sk_c2 != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f728,f759]) ).
fof(f761,plain,
( sQ26_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ21_spl
| ~ sQ19_spl
| ~ sQ9_spl
| ~ sQ0_spl
| ~ sQ10_spl
| sk_c2 != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f723,f760]) ).
fof(f762,plain,
( sQ26_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ21_spl
| ~ sQ19_spl
| ~ sQ9_spl
| ~ sQ0_spl
| ~ sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f761]) ).
fof(f763,plain,
( sQ26_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ21_spl
| ~ sQ19_spl
| ~ sQ9_spl
| ~ sQ0_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f762]) ).
fof(f772,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| sk_c7 = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f282,f264]) ).
fof(f773,plain,
( ~ sQ21_spl
| ~ sQ19_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| sk_c8 = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f772,f669]) ).
fof(f777,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ4_spl
| multiply(sk_c5,X0) = X0 ),
inference(forward_demodulation,[status(thm)],[f580,f35]) ).
fof(f858,plain,
( sQ10_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| multiply(sk_c5,sk_c7) != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f282,f126]) ).
fof(f859,plain,
( sQ10_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| sk_c7 != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f777,f858]) ).
fof(f860,plain,
( sQ10_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| sk_c5 != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f772,f859]) ).
fof(f861,plain,
( sQ10_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ21_spl
| ~ sQ19_spl
| sk_c5 != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f773,f860]) ).
fof(f862,plain,
( sQ10_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ21_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f861]) ).
fof(f863,plain,
( sQ10_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ21_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f862]) ).
fof(f864,plain,
$false,
inference(sat_refutation,[status(thm)],[f76,f80,f84,f88,f92,f96,f100,f101,f102,f103,f104,f105,f109,f110,f111,f112,f113,f114,f118,f119,f120,f121,f122,f127,f128,f129,f130,f131,f145,f151,f159,f165,f183,f187,f191,f296,f310,f317,f327,f371,f448,f459,f476,f574,f578,f579,f584,f604,f665,f680,f683,f758,f763,f863]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP391-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n008.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 20:11:39 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.42 % Refutation found
% 0.10/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.44 % Elapsed time: 0.065672 seconds
% 0.10/0.44 % CPU time: 0.217647 seconds
% 0.10/0.44 % Total memory used: 89.194 MB
% 0.10/0.44 % Net memory used: 88.981 MB
%------------------------------------------------------------------------------