%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP315-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 12:33:23 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.42s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 44
% Syntax : Number of formulae : 220 ( 16 unt; 23 def)
% Number of atoms : 701 ( 235 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 911 ( 430 ~; 458 |; 0 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 24 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : multiply(identity,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : multiply(inverse(X),X) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
multiply(sk_c6,sk_c7) = sk_c5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( inverse(sk_c4) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( inverse(sk_c4) = sk_c6
| multiply(sk_c2,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| multiply(sk_c2,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
! [X3,X4,X1,X2] :
( multiply(X2,sk_c5) != sk_c6
| inverse(X2) != sk_c6
| multiply(X1,sk_c6) != sk_c7
| inverse(X1) != sk_c7
| inverse(X4) != sk_c6
| multiply(X4,sk_c6) != sk_c5
| inverse(X3) != sk_c7
| multiply(X3,sk_c7) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,plain,
! [X0] : multiply(identity,X0) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f23,plain,
! [X0] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f24,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f25,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f26,plain,
( inverse(sk_c3) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f27,plain,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f28,plain,
( inverse(sk_c4) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f29,plain,
( multiply(sk_c4,sk_c5) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f30,plain,
( inverse(sk_c3) = sk_c7
| inverse(sk_c1) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f31,plain,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f32,plain,
( inverse(sk_c4) = sk_c6
| inverse(sk_c1) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f33,plain,
( multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c1) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f34,plain,
( inverse(sk_c3) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f35,plain,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f36,plain,
( inverse(sk_c4) = sk_c6
| multiply(sk_c2,sk_c6) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f37,plain,
( multiply(sk_c4,sk_c5) = sk_c6
| multiply(sk_c2,sk_c6) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f38,plain,
( inverse(sk_c3) = sk_c7
| inverse(sk_c2) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f39,plain,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f40,plain,
( inverse(sk_c4) = sk_c6
| inverse(sk_c2) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f41,plain,
( multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c2) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f42,plain,
! [X2] :
( multiply(X2,sk_c5) != sk_c6
| inverse(X2) != sk_c6
| ! [X1] :
( multiply(X1,sk_c6) != sk_c7
| inverse(X1) != sk_c7
| ! [X4] :
( inverse(X4) != sk_c6
| multiply(X4,sk_c6) != sk_c5
| ! [X3] :
( inverse(X3) != sk_c7
| multiply(X3,sk_c7) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5 ) ) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f43,plain,
! [X0,X1,X2,X3] :
( multiply(X3,sk_c5) != sk_c6
| inverse(X3) != sk_c6
| multiply(X2,sk_c6) != sk_c7
| inverse(X2) != sk_c7
| inverse(X1) != sk_c6
| multiply(X1,sk_c6) != sk_c5
| inverse(X0) != sk_c7
| multiply(X0,sk_c7) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5 ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f44,definition,
( sQ0_spl
<=> multiply(sk_c1,sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f45,plain,
( ~ sQ0_spl
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(component_clause,[status(thm)],[f44]) ).
fof(f47,definition,
( sQ1_spl
<=> inverse(sk_c3) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f48,plain,
( ~ sQ1_spl
| inverse(sk_c3) = sk_c7 ),
inference(component_clause,[status(thm)],[f47]) ).
fof(f50,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f26,f44,f47]) ).
fof(f51,definition,
( sQ2_spl
<=> multiply(sk_c3,sk_c6) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f52,plain,
( ~ sQ2_spl
| multiply(sk_c3,sk_c6) = sk_c7 ),
inference(component_clause,[status(thm)],[f51]) ).
fof(f54,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f27,f44,f51]) ).
fof(f55,definition,
( sQ3_spl
<=> inverse(sk_c4) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f56,plain,
( ~ sQ3_spl
| inverse(sk_c4) = sk_c6 ),
inference(component_clause,[status(thm)],[f55]) ).
fof(f58,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f28,f44,f55]) ).
fof(f59,definition,
( sQ4_spl
<=> multiply(sk_c4,sk_c5) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f60,plain,
( ~ sQ4_spl
| multiply(sk_c4,sk_c5) = sk_c6 ),
inference(component_clause,[status(thm)],[f59]) ).
fof(f62,plain,
( sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f29,f44,f59]) ).
fof(f63,definition,
( sQ5_spl
<=> inverse(sk_c1) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f64,plain,
( ~ sQ5_spl
| inverse(sk_c1) = sk_c7 ),
inference(component_clause,[status(thm)],[f63]) ).
fof(f66,plain,
( sQ1_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f30,f63,f47]) ).
fof(f67,plain,
( sQ2_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f31,f63,f51]) ).
fof(f68,plain,
( sQ3_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f32,f63,f55]) ).
fof(f69,plain,
( sQ4_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f33,f63,f59]) ).
fof(f70,definition,
( sQ6_spl
<=> multiply(sk_c2,sk_c6) = sk_c5 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f71,plain,
( ~ sQ6_spl
| multiply(sk_c2,sk_c6) = sk_c5 ),
inference(component_clause,[status(thm)],[f70]) ).
fof(f73,plain,
( sQ1_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f34,f70,f47]) ).
fof(f74,plain,
( sQ2_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f35,f70,f51]) ).
fof(f75,plain,
( sQ3_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f36,f70,f55]) ).
fof(f76,plain,
( sQ4_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f37,f70,f59]) ).
fof(f77,definition,
( sQ7_spl
<=> inverse(sk_c2) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f78,plain,
( ~ sQ7_spl
| inverse(sk_c2) = sk_c6 ),
inference(component_clause,[status(thm)],[f77]) ).
fof(f80,plain,
( sQ1_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f38,f77,f47]) ).
fof(f81,plain,
( sQ2_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f39,f77,f51]) ).
fof(f82,plain,
( sQ3_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f40,f77,f55]) ).
fof(f83,plain,
( sQ4_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f41,f77,f59]) ).
fof(f84,definition,
( sQ8_spl
<=> multiply(sk_c6,sk_c7) = sk_c5 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f86,plain,
( sQ8_spl
| multiply(sk_c6,sk_c7) != sk_c5 ),
inference(component_clause,[status(thm)],[f84]) ).
fof(f87,definition,
! [X0] :
( sQ9_spl
<=> ( inverse(X0) != sk_c7
| multiply(X0,sk_c7) != sk_c6 ) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f88,plain,
! [X0] :
( ~ sQ9_spl
| inverse(X0) != sk_c7
| multiply(X0,sk_c7) != sk_c6 ),
inference(component_clause,[status(thm)],[f87]) ).
fof(f90,definition,
! [X1] :
( sQ10_spl
<=> ( inverse(X1) != sk_c6
| multiply(X1,sk_c6) != sk_c5 ) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f91,plain,
! [X0] :
( ~ sQ10_spl
| inverse(X0) != sk_c6
| multiply(X0,sk_c6) != sk_c5 ),
inference(component_clause,[status(thm)],[f90]) ).
fof(f93,definition,
! [X2] :
( sQ11_spl
<=> ( multiply(X2,sk_c6) != sk_c7
| inverse(X2) != sk_c7 ) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f94,plain,
! [X0] :
( ~ sQ11_spl
| multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7 ),
inference(component_clause,[status(thm)],[f93]) ).
fof(f96,definition,
! [X3] :
( sQ12_spl
<=> ( multiply(X3,sk_c5) != sk_c6
| inverse(X3) != sk_c6 ) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f97,plain,
! [X0] :
( ~ sQ12_spl
| multiply(X0,sk_c5) != sk_c6
| inverse(X0) != sk_c6 ),
inference(component_clause,[status(thm)],[f96]) ).
fof(f99,plain,
( sQ12_spl
| sQ11_spl
| sQ10_spl
| sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f43,f84,f87,f90,f93,f96]) ).
fof(f100,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| inverse(sk_c4) != sk_c6 ),
inference(resolution,[status(thm)],[f97,f60]) ).
fof(f102,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| ~ sQ3_spl
| sk_c6 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f56,f100]) ).
fof(f103,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| ~ sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f102]) ).
fof(f104,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f103]) ).
fof(f105,plain,
( sQ8_spl
| sk_c5 != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f25,f86]) ).
fof(f106,plain,
( sQ8_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f105]) ).
fof(f107,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f106]) ).
fof(f108,plain,
( ~ sQ2_spl
| ~ sQ11_spl
| inverse(sk_c3) != sk_c7 ),
inference(resolution,[status(thm)],[f94,f52]) ).
fof(f110,plain,
( ~ sQ6_spl
| ~ sQ11_spl
| sk_c5 != sk_c7
| inverse(sk_c2) != sk_c7 ),
inference(paramodulation,[status(thm)],[f71,f94]) ).
fof(f111,plain,
( ~ sQ2_spl
| ~ sQ11_spl
| ~ sQ1_spl
| sk_c7 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f48,f108]) ).
fof(f112,plain,
( ~ sQ2_spl
| ~ sQ11_spl
| ~ sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f111]) ).
fof(f113,plain,
( ~ sQ2_spl
| ~ sQ11_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f112]) ).
fof(f116,plain,
! [X0] :
( ~ sQ4_spl
| multiply(sk_c6,X0) = multiply(sk_c4,multiply(sk_c5,X0)) ),
inference(paramodulation,[status(thm)],[f60,f24]) ).
fof(f119,plain,
! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c7,X0)),
inference(paramodulation,[status(thm)],[f25,f24]) ).
fof(f122,plain,
( ~ sQ6_spl
| ~ sQ10_spl
| inverse(sk_c2) != sk_c6 ),
inference(resolution,[status(thm)],[f91,f71]) ).
fof(f124,plain,
( ~ sQ2_spl
| ~ sQ10_spl
| inverse(sk_c3) != sk_c6
| sk_c7 != sk_c5 ),
inference(paramodulation,[status(thm)],[f52,f91]) ).
fof(f126,plain,
( ~ sQ6_spl
| ~ sQ10_spl
| ~ sQ7_spl
| sk_c6 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f78,f122]) ).
fof(f127,plain,
( ~ sQ6_spl
| ~ sQ10_spl
| ~ sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f126]) ).
fof(f128,plain,
( ~ sQ6_spl
| ~ sQ10_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f127]) ).
fof(f133,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f23,f24]) ).
fof(f134,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f22,f133]) ).
fof(f149,plain,
( ~ sQ2_spl
| sk_c6 = multiply(inverse(sk_c3),sk_c7) ),
inference(paramodulation,[status(thm)],[f52,f134]) ).
fof(f150,plain,
( ~ sQ4_spl
| sk_c5 = multiply(inverse(sk_c4),sk_c6) ),
inference(paramodulation,[status(thm)],[f60,f134]) ).
fof(f155,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| sk_c6 = multiply(sk_c7,sk_c7) ),
inference(forward_demodulation,[status(thm)],[f48,f149]) ).
fof(f156,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| sk_c5 = multiply(sk_c6,sk_c6) ),
inference(forward_demodulation,[status(thm)],[f56,f150]) ).
fof(f171,plain,
( ~ sQ7_spl
| ~ sQ9_spl
| sk_c6 != sk_c7
| multiply(sk_c2,sk_c7) != sk_c6 ),
inference(paramodulation,[status(thm)],[f78,f88]) ).
fof(f175,definition,
( sQ14_spl
<=> sk_c6 = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f176,plain,
( ~ sQ14_spl
| sk_c6 = sk_c7 ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f177,plain,
( sQ14_spl
| sk_c6 != sk_c7 ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f182,definition,
( sQ16_spl
<=> sk_c7 = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f184,plain,
( sQ16_spl
| sk_c7 != sk_c7 ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f186,definition,
( sQ17_spl
<=> multiply(sk_c2,sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f188,plain,
( sQ17_spl
| multiply(sk_c2,sk_c7) != sk_c6 ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f189,plain,
( ~ sQ7_spl
| ~ sQ9_spl
| ~ sQ14_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f171,f186,f175,f87,f77]) ).
fof(f208,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| multiply(sk_c5,sk_c7) = multiply(sk_c6,sk_c6) ),
inference(paramodulation,[status(thm)],[f155,f119]) ).
fof(f213,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl
| multiply(sk_c5,sk_c7) = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f156,f208]) ).
fof(f219,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl
| multiply(sk_c6,sk_c7) = multiply(sk_c4,sk_c5) ),
inference(paramodulation,[status(thm)],[f213,f116]) ).
fof(f220,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sk_c7 = multiply(inverse(sk_c5),sk_c5) ),
inference(paramodulation,[status(thm)],[f213,f134]) ).
fof(f222,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sk_c5 = multiply(sk_c4,sk_c5) ),
inference(forward_demodulation,[status(thm)],[f25,f219]) ).
fof(f223,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sk_c5 = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f60,f222]) ).
fof(f224,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sk_c7 = identity ),
inference(forward_demodulation,[status(thm)],[f23,f220]) ).
fof(f229,plain,
( sQ14_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sk_c5 != sk_c7 ),
inference(backward_demodulation,[status(thm)],[f223,f177]) ).
fof(f232,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl
| inverse(X0) != sk_c7
| multiply(X0,sk_c7) != sk_c5 ),
inference(backward_demodulation,[status(thm)],[f223,f88]) ).
fof(f234,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sk_c5 = multiply(sk_c7,sk_c7) ),
inference(backward_demodulation,[status(thm)],[f223,f155]) ).
fof(f238,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| inverse(sk_c4) = sk_c5 ),
inference(backward_demodulation,[status(thm)],[f223,f56]) ).
fof(f246,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl
| multiply(inverse(X0),X0) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f224,f23]) ).
fof(f247,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl
| multiply(sk_c7,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f224,f22]) ).
fof(f252,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ9_spl
| inverse(sk_c5) != sk_c7 ),
inference(resolution,[status(thm)],[f232,f213]) ).
fof(f256,definition,
( sQ18_spl
<=> sk_c7 = sk_c5 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f257,plain,
( ~ sQ18_spl
| sk_c7 = sk_c5 ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f258,plain,
( sQ18_spl
| sk_c7 != sk_c5 ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f263,definition,
( sQ20_spl
<=> sk_c5 = sk_c5 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f265,plain,
( sQ20_spl
| sk_c5 != sk_c5 ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f270,plain,
( sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f265]) ).
fof(f271,plain,
sQ20_spl,
inference(contradiction_clause,[status(thm)],[f270]) ).
fof(f277,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sk_c5 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f247,f234]) ).
fof(f278,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f277,f229]) ).
fof(f279,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f278]) ).
fof(f285,definition,
( sQ22_spl
<=> inverse(sk_c3) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f287,plain,
( sQ22_spl
| inverse(sk_c3) != sk_c6 ),
inference(component_clause,[status(thm)],[f285]) ).
fof(f288,plain,
( ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ22_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f124,f256,f285,f90,f51]) ).
fof(f289,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl
| multiply(sk_c5,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f277,f247]) ).
fof(f293,plain,
( sQ18_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sk_c5 != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f277,f258]) ).
fof(f294,plain,
( sQ18_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f293]) ).
fof(f295,plain,
( sQ18_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f294]) ).
fof(f306,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl
| multiply(inverse(X0),X0) = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f277,f246]) ).
fof(f308,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| multiply(sk_c5,sk_c4) = sk_c5 ),
inference(paramodulation,[status(thm)],[f238,f306]) ).
fof(f312,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| sk_c4 = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f289,f308]) ).
fof(f338,definition,
( sQ24_spl
<=> sk_c2 = sk_c2 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f340,plain,
( sQ24_spl
| sk_c2 != sk_c2 ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f342,plain,
( sQ24_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f340]) ).
fof(f343,plain,
sQ24_spl,
inference(contradiction_clause,[status(thm)],[f342]) ).
fof(f344,plain,
( sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f184]) ).
fof(f345,plain,
sQ16_spl,
inference(contradiction_clause,[status(thm)],[f344]) ).
fof(f346,definition,
( sQ25_spl
<=> inverse(sk_c2) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f348,plain,
( sQ25_spl
| inverse(sk_c2) != sk_c7 ),
inference(component_clause,[status(thm)],[f346]) ).
fof(f349,plain,
( ~ sQ6_spl
| ~ sQ11_spl
| ~ sQ18_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f110,f346,f256,f93,f70]) ).
fof(f351,plain,
( sQ22_spl
| ~ sQ1_spl
| sk_c7 != sk_c6 ),
inference(backward_demodulation,[status(thm)],[f48,f287]) ).
fof(f353,plain,
( ~ sQ0_spl
| sk_c7 = multiply(inverse(sk_c1),sk_c6) ),
inference(paramodulation,[status(thm)],[f45,f134]) ).
fof(f355,plain,
( ~ sQ0_spl
| ~ sQ5_spl
| sk_c7 = multiply(sk_c7,sk_c6) ),
inference(forward_demodulation,[status(thm)],[f64,f353]) ).
fof(f361,plain,
( sQ25_spl
| ~ sQ7_spl
| sk_c6 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f78,f348]) ).
fof(f377,plain,
( ~ sQ6_spl
| sk_c6 = multiply(inverse(sk_c2),sk_c5) ),
inference(paramodulation,[status(thm)],[f71,f134]) ).
fof(f379,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| sk_c6 = multiply(sk_c6,sk_c5) ),
inference(forward_demodulation,[status(thm)],[f78,f377]) ).
fof(f404,plain,
( ~ sQ14_spl
| sQ22_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f176,f351]) ).
fof(f405,plain,
( ~ sQ14_spl
| sQ22_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f404]) ).
fof(f408,plain,
( ~ sQ0_spl
| ~ sQ5_spl
| sk_c6 = multiply(inverse(sk_c7),sk_c7) ),
inference(paramodulation,[status(thm)],[f355,f134]) ).
fof(f410,plain,
( ~ sQ0_spl
| ~ sQ5_spl
| sk_c6 = identity ),
inference(forward_demodulation,[status(thm)],[f23,f408]) ).
fof(f414,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ5_spl
| multiply(inverse(X0),X0) = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f410,f23]) ).
fof(f417,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ5_spl
| multiply(sk_c6,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f410,f22]) ).
fof(f418,plain,
( ~ sQ0_spl
| ~ sQ5_spl
| sk_c7 = sk_c5 ),
inference(backward_demodulation,[status(thm)],[f417,f25]) ).
fof(f422,plain,
( sQ14_spl
| ~ sQ0_spl
| ~ sQ5_spl
| sk_c6 != sk_c5 ),
inference(backward_demodulation,[status(thm)],[f418,f177]) ).
fof(f439,plain,
( ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ12_spl
| sk_c5 != sk_c6
| inverse(sk_c6) != sk_c6 ),
inference(paramodulation,[status(thm)],[f417,f97]) ).
fof(f442,definition,
( sQ30_spl
<=> inverse(sk_c6) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f444,plain,
( sQ30_spl
| inverse(sk_c6) != sk_c6 ),
inference(component_clause,[status(thm)],[f442]) ).
fof(f445,definition,
( sQ31_spl
<=> sk_c5 = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f447,plain,
( sQ31_spl
| sk_c5 != sk_c6 ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f448,plain,
( ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ12_spl
| ~ sQ31_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f439,f442,f445,f96,f63,f44]) ).
fof(f457,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ5_spl
| multiply(sk_c6,sk_c2) = sk_c6 ),
inference(paramodulation,[status(thm)],[f78,f414]) ).
fof(f462,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ5_spl
| sk_c2 = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f417,f457]) ).
fof(f475,plain,
( sQ14_spl
| ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ7_spl
| sk_c2 != sk_c5 ),
inference(backward_demodulation,[status(thm)],[f462,f422]) ).
fof(f476,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ7_spl
| multiply(sk_c2,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f462,f417]) ).
fof(f479,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ5_spl
| inverse(sk_c2) = sk_c2 ),
inference(backward_demodulation,[status(thm)],[f462,f78]) ).
fof(f486,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ5_spl
| sk_c2 = multiply(sk_c6,sk_c5) ),
inference(forward_demodulation,[status(thm)],[f462,f379]) ).
fof(f487,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ5_spl
| sk_c2 = multiply(sk_c2,sk_c5) ),
inference(forward_demodulation,[status(thm)],[f462,f486]) ).
fof(f488,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ5_spl
| sk_c2 = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f476,f487]) ).
fof(f489,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ5_spl
| sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f488,f475]) ).
fof(f490,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ5_spl
| sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f489]) ).
fof(f491,plain,
( sQ31_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ5_spl
| sk_c5 != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f462,f447]) ).
fof(f498,plain,
( ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ7_spl
| sk_c7 = sk_c2 ),
inference(backward_demodulation,[status(thm)],[f488,f418]) ).
fof(f499,plain,
( sQ31_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c2 != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f488,f491]) ).
fof(f500,plain,
( sQ31_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f499]) ).
fof(f501,plain,
( sQ31_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f500]) ).
fof(f502,plain,
( sQ30_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ5_spl
| inverse(sk_c2) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f462,f444]) ).
fof(f503,plain,
( sQ30_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ5_spl
| sk_c2 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f479,f502]) ).
fof(f504,plain,
( sQ30_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ5_spl
| sk_c2 != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f462,f503]) ).
fof(f505,plain,
( sQ30_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f504]) ).
fof(f506,plain,
( sQ30_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f505]) ).
fof(f510,plain,
( sQ17_spl
| ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ7_spl
| sk_c7 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f476,f188]) ).
fof(f511,plain,
( sQ17_spl
| ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ7_spl
| sk_c7 != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f462,f510]) ).
fof(f579,plain,
( sQ17_spl
| ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| sk_c2 != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f498,f511]) ).
fof(f580,plain,
( sQ17_spl
| ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f579]) ).
fof(f581,plain,
( sQ17_spl
| ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f580]) ).
fof(f587,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sk_c4 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f312,f277]) ).
fof(f624,plain,
( ~ sQ18_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sk_c7 = sk_c4 ),
inference(backward_demodulation,[status(thm)],[f625,f257]) ).
fof(f625,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ18_spl
| sk_c4 = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f257,f587]) ).
fof(f637,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ18_spl
| inverse(sk_c4) = sk_c4 ),
inference(forward_demodulation,[status(thm)],[f625,f238]) ).
fof(f640,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ9_spl
| ~ sQ18_spl
| inverse(sk_c4) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f625,f252]) ).
fof(f641,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ9_spl
| ~ sQ18_spl
| sk_c4 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f637,f640]) ).
fof(f642,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ9_spl
| ~ sQ18_spl
| sk_c4 != sk_c4 ),
inference(forward_demodulation,[status(thm)],[f624,f641]) ).
fof(f643,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ9_spl
| ~ sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f642]) ).
fof(f644,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ9_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f643]) ).
fof(f645,plain,
( ~ sQ0_spl
| ~ sQ5_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f418,f256,f63,f44]) ).
fof(f646,plain,
( sQ25_spl
| ~ sQ7_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f361,f175,f77,f346]) ).
fof(f647,plain,
$false,
inference(sat_refutation,[status(thm)],[f50,f54,f58,f62,f66,f67,f68,f69,f73,f74,f75,f76,f80,f81,f82,f83,f99,f104,f107,f113,f128,f189,f271,f279,f288,f295,f343,f345,f349,f405,f448,f490,f501,f506,f581,f644,f645,f646]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP315-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n016.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 20:13:53 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % 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: 0.064100 seconds
% 0.10/0.44 % CPU time: 0.212095 seconds
% 0.10/0.44 % Total memory used: 104.034 MB
% 0.10/0.44 % Net memory used: 103.690 MB
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