%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP275-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 12:33:17 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.41s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 50
% Syntax : Number of formulae : 218 ( 11 unt; 24 def)
% Number of atoms : 662 ( 257 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 823 ( 379 ~; 420 |; 0 &)
% ( 24 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 25 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 47 ( 47 !; 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_c7,sk_c8) = sk_c6
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( inverse(sk_c4) = sk_c5
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( inverse(sk_c4) = sk_c5
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( inverse(sk_c4) = sk_c5
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c2,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c2,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c2,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
! [X3,X4,X1,X5,X2] :
( multiply(X2,sk_c8) != sk_c7
| inverse(X5) != X2
| multiply(X5,X2) != sk_c7
| multiply(X1,sk_c7) != sk_c8
| inverse(X1) != sk_c8
| multiply(sk_c7,sk_c8) != sk_c6
| multiply(X4,sk_c7) != sk_c8
| inverse(X4) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c7
| inverse(X3) != sk_c8
| multiply(X3,sk_c8) != sk_c7 ),
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_c7,sk_c8) = sk_c6
| multiply(sk_c1,sk_c8) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f39,plain,
( inverse(sk_c3) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f41,plain,
( multiply(sk_c4,sk_c5) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f42,plain,
( inverse(sk_c4) = sk_c5
| multiply(sk_c1,sk_c8) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f43,plain,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f44,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f45,plain,
( inverse(sk_c3) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f47,plain,
( multiply(sk_c4,sk_c5) = sk_c7
| inverse(sk_c1) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f48,plain,
( inverse(sk_c4) = sk_c5
| inverse(sk_c1) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f49,plain,
( multiply(sk_c5,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f50,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f51,plain,
( inverse(sk_c3) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f52,plain,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f53,plain,
( multiply(sk_c4,sk_c5) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f54,plain,
( inverse(sk_c4) = sk_c5
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f55,plain,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f56,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f57,plain,
( inverse(sk_c3) = sk_c8
| inverse(sk_c2) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f58,plain,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c2) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f62,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c2,sk_c7) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f63,plain,
( inverse(sk_c3) = sk_c8
| multiply(sk_c2,sk_c7) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f64,plain,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c2,sk_c7) = sk_c8 ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f68,plain,
! [X2] :
( multiply(X2,sk_c8) != sk_c7
| ! [X5] :
( inverse(X5) != X2
| multiply(X5,X2) != sk_c7
| ! [X1] :
( multiply(X1,sk_c7) != sk_c8
| inverse(X1) != sk_c8
| multiply(sk_c7,sk_c8) != sk_c6
| ! [X4] :
( multiply(X4,sk_c7) != sk_c8
| inverse(X4) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c7
| ! [X3] :
( inverse(X3) != sk_c8
| multiply(X3,sk_c8) != sk_c7 ) ) ) ) ),
inference(miniscoping,[status(thm)],[f34]) ).
fof(f69,plain,
! [X0,X1,X2,X3,X4] :
( multiply(X4,sk_c8) != sk_c7
| inverse(X3) != X4
| multiply(X3,X4) != sk_c7
| multiply(X2,sk_c7) != sk_c8
| inverse(X2) != sk_c8
| multiply(sk_c7,sk_c8) != sk_c6
| multiply(X1,sk_c7) != sk_c8
| inverse(X1) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c7
| inverse(X0) != sk_c8
| multiply(X0,sk_c8) != sk_c7 ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f70,definition,
( sQ0_spl
<=> multiply(sk_c1,sk_c8) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f71,plain,
( ~ sQ0_spl
| multiply(sk_c1,sk_c8) = sk_c7 ),
inference(component_clause,[status(thm)],[f70]) ).
fof(f73,definition,
( sQ1_spl
<=> multiply(sk_c7,sk_c8) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f74,plain,
( ~ sQ1_spl
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(component_clause,[status(thm)],[f73]) ).
fof(f75,plain,
( sQ1_spl
| multiply(sk_c7,sk_c8) != sk_c6 ),
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_c3,sk_c7) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f82,plain,
( ~ sQ3_spl
| multiply(sk_c3,sk_c7) = sk_c8 ),
inference(component_clause,[status(thm)],[f81]) ).
fof(f85,definition,
( sQ4_spl
<=> multiply(sk_c4,sk_c5) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f86,plain,
( ~ sQ4_spl
| multiply(sk_c4,sk_c5) = 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_c4) = sk_c5 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f90,plain,
( ~ sQ5_spl
| inverse(sk_c4) = sk_c5 ),
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_c7 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f94,plain,
( ~ sQ6_spl
| multiply(sk_c5,sk_c8) = sk_c7 ),
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
<=> inverse(sk_c1) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f98,plain,
( ~ sQ7_spl
| inverse(sk_c1) = 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(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
<=> multiply(sk_c8,sk_c6) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f107,plain,
( ~ sQ8_spl
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(component_clause,[status(thm)],[f106]) ).
fof(f108,plain,
( sQ8_spl
| multiply(sk_c8,sk_c6) != sk_c7 ),
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
<=> inverse(sk_c2) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f116,plain,
( ~ sQ9_spl
| inverse(sk_c2) = 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(f124,definition,
( sQ10_spl
<=> multiply(sk_c2,sk_c7) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f125,plain,
( ~ sQ10_spl
| multiply(sk_c2,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(f133,definition,
! [X0] :
( sQ11_spl
<=> ( inverse(X0) != sk_c8
| multiply(X0,sk_c8) != sk_c7 ) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f134,plain,
! [X0] :
( ~ sQ11_spl
| inverse(X0) != sk_c8
| multiply(X0,sk_c8) != sk_c7 ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f136,definition,
! [X1] :
( sQ12_spl
<=> ( multiply(X1,sk_c7) != sk_c8
| inverse(X1) != sk_c8 ) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f137,plain,
! [X0] :
( ~ sQ12_spl
| multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c8 ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f139,definition,
! [X3,X4] :
( sQ13_spl
<=> ( multiply(X4,sk_c8) != sk_c7
| inverse(X3) != X4
| multiply(X3,X4) != sk_c7 ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f140,plain,
! [X0,X1] :
( ~ sQ13_spl
| multiply(X1,sk_c8) != sk_c7
| inverse(X0) != X1
| multiply(X0,X1) != sk_c7 ),
inference(component_clause,[status(thm)],[f139]) ).
fof(f142,plain,
( sQ13_spl
| ~ sQ1_spl
| sQ12_spl
| ~ sQ8_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f69,f133,f106,f136,f73,f139]) ).
fof(f143,plain,
! [X0] :
( ~ sQ13_spl
| multiply(inverse(X0),sk_c8) != sk_c7
| multiply(X0,inverse(X0)) != sk_c7 ),
inference(destructive_equality_resolution,[status(thm)],[f140]) ).
fof(f147,plain,
! [X0] :
( ~ sQ4_spl
| multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c5,X0)) ),
inference(paramodulation,[status(thm)],[f86,f37]) ).
fof(f150,plain,
! [X0] :
( ~ sQ10_spl
| multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c7,X0)) ),
inference(paramodulation,[status(thm)],[f125,f37]) ).
fof(f172,plain,
( ~ sQ2_spl
| ~ sQ13_spl
| multiply(sk_c8,sk_c8) != sk_c7
| multiply(sk_c3,inverse(sk_c3)) != sk_c7 ),
inference(paramodulation,[status(thm)],[f78,f143]) ).
fof(f173,plain,
( ~ sQ5_spl
| ~ sQ13_spl
| multiply(sk_c5,sk_c8) != sk_c7
| multiply(sk_c4,inverse(sk_c4)) != sk_c7 ),
inference(paramodulation,[status(thm)],[f90,f143]) ).
fof(f174,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| multiply(sk_c8,sk_c8) != sk_c7
| multiply(sk_c1,inverse(sk_c1)) != sk_c7 ),
inference(paramodulation,[status(thm)],[f98,f143]) ).
fof(f176,definition,
( sQ14_spl
<=> multiply(sk_c3,inverse(sk_c3)) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f179,definition,
( sQ15_spl
<=> multiply(sk_c8,sk_c8) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f180,plain,
( ~ sQ15_spl
| multiply(sk_c8,sk_c8) = sk_c7 ),
inference(component_clause,[status(thm)],[f179]) ).
fof(f181,plain,
( sQ15_spl
| multiply(sk_c8,sk_c8) != sk_c7 ),
inference(component_clause,[status(thm)],[f179]) ).
fof(f182,plain,
( ~ sQ2_spl
| ~ sQ13_spl
| ~ sQ15_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f172,f176,f179,f139,f77]) ).
fof(f183,definition,
( sQ16_spl
<=> multiply(sk_c4,inverse(sk_c4)) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f185,plain,
( sQ16_spl
| multiply(sk_c4,inverse(sk_c4)) != sk_c7 ),
inference(component_clause,[status(thm)],[f183]) ).
fof(f186,plain,
( ~ sQ5_spl
| ~ sQ13_spl
| ~ sQ6_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f173,f183,f93,f139,f89]) ).
fof(f187,definition,
( sQ17_spl
<=> multiply(sk_c1,inverse(sk_c1)) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f189,plain,
( sQ17_spl
| multiply(sk_c1,inverse(sk_c1)) != sk_c7 ),
inference(component_clause,[status(thm)],[f187]) ).
fof(f190,plain,
( ~ sQ7_spl
| ~ sQ13_spl
| ~ sQ15_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f174,f187,f179,f139,f97]) ).
fof(f196,plain,
( sQ17_spl
| ~ sQ7_spl
| multiply(sk_c1,sk_c8) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f98,f189]) ).
fof(f197,plain,
( sQ17_spl
| ~ sQ7_spl
| ~ sQ0_spl
| sk_c7 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f71,f196]) ).
fof(f198,plain,
( sQ17_spl
| ~ sQ7_spl
| ~ sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f197]) ).
fof(f199,plain,
( sQ17_spl
| ~ sQ7_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f198]) ).
fof(f201,plain,
( ~ sQ11_spl
| inverse(identity) != sk_c8
| sk_c8 != sk_c7 ),
inference(paramodulation,[status(thm)],[f35,f134]) ).
fof(f203,definition,
( sQ19_spl
<=> sk_c8 = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f206,definition,
( sQ20_spl
<=> inverse(identity) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f209,plain,
( ~ sQ11_spl
| ~ sQ20_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f201,f203,f206,f133]) ).
fof(f211,plain,
( ~ sQ2_spl
| multiply(sk_c8,sk_c3) = identity ),
inference(paramodulation,[status(thm)],[f78,f36]) ).
fof(f214,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f36,f37]) ).
fof(f215,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f35,f214]) ).
fof(f218,plain,
( ~ sQ6_spl
| ~ sQ4_spl
| multiply(sk_c7,sk_c8) = multiply(sk_c4,sk_c7) ),
inference(paramodulation,[status(thm)],[f94,f147]) ).
fof(f219,plain,
! [X0] :
( ~ sQ6_spl
| multiply(sk_c7,X0) = multiply(sk_c5,multiply(sk_c8,X0)) ),
inference(paramodulation,[status(thm)],[f94,f37]) ).
fof(f220,plain,
( ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ1_spl
| sk_c6 = multiply(sk_c4,sk_c7) ),
inference(forward_demodulation,[status(thm)],[f74,f218]) ).
fof(f240,plain,
! [X0] : X0 = multiply(inverse(identity),X0),
inference(paramodulation,[status(thm)],[f35,f215]) ).
fof(f248,plain,
( ~ sQ3_spl
| sk_c7 = multiply(inverse(sk_c3),sk_c8) ),
inference(paramodulation,[status(thm)],[f82,f215]) ).
fof(f249,plain,
( ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ1_spl
| sk_c7 = multiply(inverse(sk_c4),sk_c6) ),
inference(paramodulation,[status(thm)],[f220,f215]) ).
fof(f251,plain,
( ~ sQ4_spl
| sk_c5 = multiply(inverse(sk_c4),sk_c7) ),
inference(paramodulation,[status(thm)],[f86,f215]) ).
fof(f252,plain,
( ~ sQ10_spl
| sk_c7 = multiply(inverse(sk_c2),sk_c8) ),
inference(paramodulation,[status(thm)],[f125,f215]) ).
fof(f255,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| sk_c7 = multiply(sk_c8,sk_c8) ),
inference(forward_demodulation,[status(thm)],[f78,f248]) ).
fof(f256,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f255,f181]) ).
fof(f257,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f256]) ).
fof(f258,plain,
( ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ5_spl
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(forward_demodulation,[status(thm)],[f90,f249]) ).
fof(f260,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| sk_c5 = multiply(sk_c5,sk_c7) ),
inference(forward_demodulation,[status(thm)],[f90,f251]) ).
fof(f261,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| sk_c7 = multiply(sk_c8,sk_c8) ),
inference(forward_demodulation,[status(thm)],[f116,f252]) ).
fof(f263,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| inverse(sk_c3) != sk_c8 ),
inference(resolution,[status(thm)],[f137,f82]) ).
fof(f264,plain,
( ~ sQ10_spl
| ~ sQ12_spl
| inverse(sk_c2) != sk_c8 ),
inference(resolution,[status(thm)],[f137,f125]) ).
fof(f271,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| ~ sQ2_spl
| sk_c8 != sk_c8 ),
inference(forward_demodulation,[status(thm)],[f78,f263]) ).
fof(f272,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| ~ sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f271]) ).
fof(f273,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f272]) ).
fof(f274,plain,
( ~ sQ6_spl
| ~ sQ11_spl
| inverse(sk_c5) != sk_c8 ),
inference(resolution,[status(thm)],[f134,f94]) ).
fof(f275,plain,
( ~ sQ6_spl
| ~ sQ11_spl
| inverse(sk_c5) != sk_c8
| sk_c7 != sk_c7 ),
inference(paramodulation,[status(thm)],[f94,f134]) ).
fof(f280,definition,
( sQ21_spl
<=> sk_c7 = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f282,plain,
( sQ21_spl
| sk_c7 != sk_c7 ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f283,definition,
( sQ22_spl
<=> inverse(sk_c5) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f286,plain,
( ~ sQ6_spl
| ~ sQ11_spl
| ~ sQ22_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f275,f280,f283,f133,f93]) ).
fof(f302,plain,
( sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f282]) ).
fof(f303,plain,
sQ21_spl,
inference(contradiction_clause,[status(thm)],[f302]) ).
fof(f324,plain,
( ~ sQ11_spl
| inverse(inverse(identity)) != sk_c8
| sk_c8 != sk_c7 ),
inference(paramodulation,[status(thm)],[f240,f134]) ).
fof(f327,definition,
( sQ27_spl
<=> inverse(inverse(identity)) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f330,plain,
( ~ sQ11_spl
| ~ sQ27_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f324,f203,f327,f133]) ).
fof(f336,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| sk_c7 = multiply(inverse(sk_c5),sk_c5) ),
inference(paramodulation,[status(thm)],[f260,f215]) ).
fof(f339,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| sk_c7 = identity ),
inference(forward_demodulation,[status(thm)],[f36,f336]) ).
fof(f345,plain,
( ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ5_spl
| multiply(sk_c8,sk_c3) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f339,f211]) ).
fof(f348,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ5_spl
| multiply(sk_c7,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f339,f35]) ).
fof(f349,plain,
( ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| sk_c8 = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f348,f74]) ).
fof(f359,plain,
( ~ sQ6_spl
| ~ sQ11_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| inverse(sk_c5) != sk_c6 ),
inference(backward_demodulation,[status(thm)],[f349,f274]) ).
fof(f364,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| inverse(sk_c3) = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f349,f78]) ).
fof(f366,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| multiply(sk_c3,sk_c7) = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f349,f82]) ).
fof(f436,plain,
( ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| multiply(sk_c6,sk_c3) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f349,f345]) ).
fof(f472,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ5_spl
| X0 = multiply(sk_c5,multiply(sk_c8,X0)) ),
inference(forward_demodulation,[status(thm)],[f348,f219]) ).
fof(f473,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| X0 = multiply(sk_c5,multiply(sk_c6,X0)) ),
inference(forward_demodulation,[status(thm)],[f349,f472]) ).
fof(f477,plain,
( ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ6_spl
| sk_c3 = multiply(sk_c5,sk_c7) ),
inference(paramodulation,[status(thm)],[f436,f473]) ).
fof(f483,plain,
( ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ6_spl
| sk_c3 = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f260,f477]) ).
fof(f539,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ2_spl
| ~ sQ6_spl
| multiply(sk_c5,sk_c7) = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f483,f366]) ).
fof(f541,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| inverse(sk_c5) = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f483,f364]) ).
fof(f542,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ2_spl
| ~ sQ6_spl
| sk_c5 = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f260,f539]) ).
fof(f543,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f541,f359]) ).
fof(f544,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f543]) ).
fof(f547,plain,
( sQ16_spl
| ~ sQ5_spl
| multiply(sk_c4,sk_c5) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f90,f185]) ).
fof(f548,plain,
( sQ16_spl
| ~ sQ5_spl
| ~ sQ4_spl
| sk_c7 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f86,f547]) ).
fof(f549,plain,
( sQ16_spl
| ~ sQ5_spl
| ~ sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f548]) ).
fof(f550,plain,
( sQ16_spl
| ~ sQ5_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f549]) ).
fof(f563,plain,
( ~ sQ15_spl
| ~ sQ11_spl
| inverse(sk_c8) != sk_c8
| sk_c7 != sk_c7 ),
inference(paramodulation,[status(thm)],[f180,f134]) ).
fof(f566,definition,
( sQ40_spl
<=> inverse(sk_c8) = sk_c8 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f569,plain,
( ~ sQ15_spl
| ~ sQ11_spl
| ~ sQ40_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f563,f280,f566,f133,f179]) ).
fof(f587,plain,
( ~ sQ0_spl
| sk_c8 = multiply(inverse(sk_c1),sk_c7) ),
inference(paramodulation,[status(thm)],[f71,f215]) ).
fof(f589,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| sk_c8 = multiply(sk_c8,sk_c7) ),
inference(forward_demodulation,[status(thm)],[f98,f587]) ).
fof(f590,plain,
( sQ15_spl
| ~ sQ10_spl
| ~ sQ9_spl
| sk_c7 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f261,f181]) ).
fof(f591,plain,
( sQ15_spl
| ~ sQ10_spl
| ~ sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f590]) ).
fof(f592,plain,
( sQ15_spl
| ~ sQ10_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f591]) ).
fof(f602,plain,
( ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| sk_c8 = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f348,f74]) ).
fof(f624,plain,
( ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ6_spl
| sk_c8 = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f542,f602]) ).
fof(f653,plain,
( ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl
| sk_c7 = multiply(sk_c5,sk_c5) ),
inference(forward_demodulation,[status(thm)],[f542,f258]) ).
fof(f685,plain,
( sQ8_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ6_spl
| multiply(sk_c5,sk_c6) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f624,f108]) ).
fof(f686,plain,
( sQ8_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ6_spl
| multiply(sk_c5,sk_c5) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f542,f685]) ).
fof(f687,plain,
( sQ8_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ6_spl
| sk_c7 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f653,f686]) ).
fof(f688,plain,
( sQ8_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f687]) ).
fof(f689,plain,
( sQ8_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f688]) ).
fof(f690,plain,
( ~ sQ10_spl
| ~ sQ12_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f264,f115,f136,f124]) ).
fof(f723,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| inverse(sk_c1) != sk_c8 ),
inference(resolution,[status(thm)],[f134,f71]) ).
fof(f730,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f723,f97,f133,f70]) ).
fof(f739,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| sk_c7 = multiply(inverse(sk_c8),sk_c8) ),
inference(paramodulation,[status(thm)],[f589,f215]) ).
fof(f741,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| sk_c7 = identity ),
inference(forward_demodulation,[status(thm)],[f36,f739]) ).
fof(f746,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ7_spl
| multiply(sk_c7,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f741,f35]) ).
fof(f748,plain,
( sQ1_spl
| ~ sQ0_spl
| ~ sQ7_spl
| sk_c8 != sk_c6 ),
inference(backward_demodulation,[status(thm)],[f746,f75]) ).
fof(f806,plain,
( ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ7_spl
| multiply(sk_c2,sk_c6) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f808,f107]) ).
fof(f808,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ7_spl
| multiply(sk_c8,X0) = multiply(sk_c2,X0) ),
inference(forward_demodulation,[status(thm)],[f746,f150]) ).
fof(f815,plain,
( ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ7_spl
| sk_c6 = multiply(inverse(sk_c2),sk_c7) ),
inference(paramodulation,[status(thm)],[f806,f215]) ).
fof(f817,plain,
( ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ9_spl
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(forward_demodulation,[status(thm)],[f116,f815]) ).
fof(f818,plain,
( ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ9_spl
| sk_c6 = multiply(sk_c2,sk_c7) ),
inference(forward_demodulation,[status(thm)],[f808,f817]) ).
fof(f819,plain,
( ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ9_spl
| sk_c6 = sk_c8 ),
inference(forward_demodulation,[status(thm)],[f125,f818]) ).
fof(f820,plain,
( ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ9_spl
| sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f819,f748]) ).
fof(f821,plain,
( ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ9_spl
| sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f820]) ).
fof(f822,plain,
$false,
inference(sat_refutation,[status(thm)],[f76,f80,f88,f92,f96,f100,f101,f103,f104,f105,f109,f110,f111,f112,f113,f114,f118,f119,f120,f127,f128,f129,f142,f182,f186,f190,f199,f209,f257,f273,f286,f303,f330,f544,f550,f569,f592,f689,f690,f730,f821]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP275-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % 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 20:08:12 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.44 % Elapsed time: 0.062483 seconds
% 0.10/0.44 % CPU time: 0.224283 seconds
% 0.10/0.44 % Total memory used: 105.004 MB
% 0.10/0.44 % Net memory used: 104.777 MB
%------------------------------------------------------------------------------