%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP344-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 12:33:28 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.36s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 40
% Syntax : Number of formulae : 214 ( 19 unt; 19 def)
% Number of atoms : 704 ( 243 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 943 ( 453 ~; 471 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 20 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 55 ( 55 !; 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,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( inverse(sk_c3) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( inverse(sk_c4) = sk_c5
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c5
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( inverse(sk_c3) = sk_c6
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( inverse(sk_c4) = sk_c5
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c5
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( inverse(sk_c3) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( inverse(sk_c4) = sk_c5
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c5
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c2,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( inverse(sk_c3) = sk_c6
| multiply(sk_c2,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( inverse(sk_c4) = sk_c5
| multiply(sk_c2,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c5
| multiply(sk_c2,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
! [X3,X4,X1,X2] :
( multiply(X2,sk_c6) != sk_c5
| inverse(X2) != sk_c5
| inverse(X1) != sk_c6
| multiply(X1,sk_c6) != sk_c7
| multiply(X4,sk_c5) != sk_c6
| inverse(X4) != sk_c6
| multiply(X3,sk_c6) != sk_c7
| inverse(X3) != sk_c7
| 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,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f27,plain,
( inverse(sk_c3) = sk_c6
| inverse(sk_c1) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f28,plain,
( inverse(sk_c4) = sk_c5
| inverse(sk_c1) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f29,plain,
( multiply(sk_c4,sk_c6) = sk_c5
| inverse(sk_c1) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f30,plain,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c1,sk_c6) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f31,plain,
( inverse(sk_c3) = sk_c6
| multiply(sk_c1,sk_c6) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f32,plain,
( inverse(sk_c4) = sk_c5
| multiply(sk_c1,sk_c6) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f33,plain,
( multiply(sk_c4,sk_c6) = sk_c5
| multiply(sk_c1,sk_c6) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f34,plain,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f35,plain,
( inverse(sk_c3) = sk_c6
| inverse(sk_c2) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f36,plain,
( inverse(sk_c4) = sk_c5
| inverse(sk_c2) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f37,plain,
( multiply(sk_c4,sk_c6) = sk_c5
| inverse(sk_c2) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f38,plain,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c2,sk_c5) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f39,plain,
( inverse(sk_c3) = sk_c6
| multiply(sk_c2,sk_c5) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f40,plain,
( inverse(sk_c4) = sk_c5
| multiply(sk_c2,sk_c5) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f41,plain,
( multiply(sk_c4,sk_c6) = sk_c5
| multiply(sk_c2,sk_c5) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f42,plain,
! [X2] :
( multiply(X2,sk_c6) != sk_c5
| inverse(X2) != sk_c5
| ! [X1] :
( inverse(X1) != sk_c6
| multiply(X1,sk_c6) != sk_c7
| ! [X4] :
( multiply(X4,sk_c5) != sk_c6
| inverse(X4) != sk_c6
| ! [X3] :
( multiply(X3,sk_c6) != sk_c7
| inverse(X3) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c5 ) ) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f43,plain,
! [X0,X1,X2,X3] :
( multiply(X3,sk_c6) != sk_c5
| inverse(X3) != sk_c5
| inverse(X2) != sk_c6
| multiply(X2,sk_c6) != sk_c7
| multiply(X1,sk_c5) != sk_c6
| inverse(X1) != sk_c6
| multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c5 ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f44,definition,
( sQ0_spl
<=> inverse(sk_c1) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f45,plain,
( ~ sQ0_spl
| inverse(sk_c1) = sk_c7 ),
inference(component_clause,[status(thm)],[f44]) ).
fof(f47,definition,
( sQ1_spl
<=> multiply(sk_c3,sk_c6) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f48,plain,
( ~ sQ1_spl
| multiply(sk_c3,sk_c6) = 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
<=> inverse(sk_c3) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f52,plain,
( ~ sQ2_spl
| inverse(sk_c3) = sk_c6 ),
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_c5 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f56,plain,
( ~ sQ3_spl
| inverse(sk_c4) = sk_c5 ),
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_c6) = sk_c5 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f60,plain,
( ~ sQ4_spl
| multiply(sk_c4,sk_c6) = sk_c5 ),
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
<=> multiply(sk_c1,sk_c6) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f64,plain,
( ~ sQ5_spl
| multiply(sk_c1,sk_c6) = 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
<=> inverse(sk_c2) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f71,plain,
( ~ sQ6_spl
| inverse(sk_c2) = sk_c6 ),
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
<=> multiply(sk_c2,sk_c5) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f78,plain,
( ~ sQ7_spl
| multiply(sk_c2,sk_c5) = 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
<=> ( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7 ) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f88,plain,
! [X0] :
( ~ sQ9_spl
| multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7 ),
inference(component_clause,[status(thm)],[f87]) ).
fof(f90,definition,
! [X1] :
( sQ10_spl
<=> ( multiply(X1,sk_c5) != sk_c6
| inverse(X1) != sk_c6 ) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f91,plain,
! [X0] :
( ~ sQ10_spl
| multiply(X0,sk_c5) != sk_c6
| inverse(X0) != sk_c6 ),
inference(component_clause,[status(thm)],[f90]) ).
fof(f93,definition,
! [X2] :
( sQ11_spl
<=> ( inverse(X2) != sk_c6
| multiply(X2,sk_c6) != sk_c7 ) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f94,plain,
! [X0] :
( ~ sQ11_spl
| inverse(X0) != sk_c6
| multiply(X0,sk_c6) != sk_c7 ),
inference(component_clause,[status(thm)],[f93]) ).
fof(f96,definition,
! [X3] :
( sQ12_spl
<=> ( multiply(X3,sk_c6) != sk_c5
| inverse(X3) != sk_c5 ) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f97,plain,
! [X0] :
( ~ sQ12_spl
| multiply(X0,sk_c6) != sk_c5
| inverse(X0) != sk_c5 ),
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_c5 ),
inference(resolution,[status(thm)],[f97,f60]) ).
fof(f104,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| ~ sQ3_spl
| sk_c5 != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f56,f100]) ).
fof(f105,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| ~ sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f104]) ).
fof(f106,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f105]) ).
fof(f107,plain,
( sQ8_spl
| sk_c5 != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f25,f86]) ).
fof(f108,plain,
( sQ8_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f107]) ).
fof(f109,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f108]) ).
fof(f110,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| inverse(sk_c3) != sk_c6 ),
inference(resolution,[status(thm)],[f94,f48]) ).
fof(f114,plain,
( ~ sQ5_spl
| ~ sQ11_spl
| inverse(sk_c1) != sk_c6
| sk_c7 != sk_c7 ),
inference(paramodulation,[status(thm)],[f64,f94]) ).
fof(f115,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| ~ sQ2_spl
| sk_c6 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f52,f110]) ).
fof(f116,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| ~ sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f115]) ).
fof(f117,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f116]) ).
fof(f121,plain,
! [X0] :
( ~ sQ5_spl
| multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c6,X0)) ),
inference(paramodulation,[status(thm)],[f64,f24]) ).
fof(f122,plain,
! [X0] :
( ~ sQ7_spl
| multiply(sk_c6,X0) = multiply(sk_c2,multiply(sk_c5,X0)) ),
inference(paramodulation,[status(thm)],[f78,f24]) ).
fof(f123,plain,
! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c7,X0)),
inference(paramodulation,[status(thm)],[f25,f24]) ).
fof(f126,plain,
( ~ sQ7_spl
| ~ sQ10_spl
| inverse(sk_c2) != sk_c6 ),
inference(resolution,[status(thm)],[f91,f78]) ).
fof(f129,plain,
( ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ6_spl
| sk_c6 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f71,f126]) ).
fof(f130,plain,
( ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f129]) ).
fof(f131,plain,
( ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f130]) ).
fof(f134,plain,
( ~ sQ2_spl
| multiply(sk_c6,sk_c3) = identity ),
inference(paramodulation,[status(thm)],[f52,f23]) ).
fof(f135,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f23,f24]) ).
fof(f136,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f22,f135]) ).
fof(f146,plain,
! [X0] : X0 = multiply(inverse(identity),X0),
inference(paramodulation,[status(thm)],[f22,f136]) ).
fof(f148,plain,
( ~ sQ1_spl
| sk_c6 = multiply(inverse(sk_c3),sk_c7) ),
inference(paramodulation,[status(thm)],[f48,f136]) ).
fof(f149,plain,
( ~ sQ4_spl
| sk_c6 = multiply(inverse(sk_c4),sk_c5) ),
inference(paramodulation,[status(thm)],[f60,f136]) ).
fof(f154,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| sk_c6 = multiply(sk_c6,sk_c7) ),
inference(forward_demodulation,[status(thm)],[f52,f148]) ).
fof(f155,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| sk_c6 = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f25,f154]) ).
fof(f156,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| sk_c6 = multiply(sk_c5,sk_c5) ),
inference(forward_demodulation,[status(thm)],[f56,f149]) ).
fof(f158,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| multiply(sk_c5,sk_c3) = identity ),
inference(backward_demodulation,[status(thm)],[f155,f134]) ).
fof(f159,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| inverse(sk_c3) = sk_c5 ),
inference(backward_demodulation,[status(thm)],[f155,f52]) ).
fof(f164,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| multiply(sk_c5,sk_c7) = sk_c5 ),
inference(backward_demodulation,[status(thm)],[f155,f25]) ).
fof(f171,plain,
! [X0] : X0 = multiply(inverse(inverse(identity)),X0),
inference(paramodulation,[status(thm)],[f146,f136]) ).
fof(f173,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ1_spl
| ~ sQ2_spl
| multiply(X0,sk_c5) != sk_c7
| inverse(X0) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f155,f88]) ).
fof(f174,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ9_spl
| multiply(sk_c3,sk_c5) != sk_c7
| sk_c5 != sk_c7 ),
inference(paramodulation,[status(thm)],[f159,f173]) ).
fof(f176,definition,
( sQ13_spl
<=> sk_c5 = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f178,plain,
( sQ13_spl
| sk_c5 != sk_c7 ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f179,definition,
( sQ14_spl
<=> multiply(sk_c3,sk_c5) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f181,plain,
( sQ14_spl
| multiply(sk_c3,sk_c5) != sk_c7 ),
inference(component_clause,[status(thm)],[f179]) ).
fof(f182,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ9_spl
| ~ sQ14_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f174,f176,f179,f87,f47,f51]) ).
fof(f193,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c5 = multiply(sk_c5,sk_c5) ),
inference(forward_demodulation,[status(thm)],[f155,f156]) ).
fof(f194,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c5 = multiply(inverse(sk_c5),sk_c5) ),
inference(paramodulation,[status(thm)],[f193,f136]) ).
fof(f196,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c5 = identity ),
inference(forward_demodulation,[status(thm)],[f23,f194]) ).
fof(f199,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| multiply(inverse(X0),X0) = sk_c5 ),
inference(backward_demodulation,[status(thm)],[f196,f23]) ).
fof(f200,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| multiply(sk_c5,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f196,f22]) ).
fof(f211,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sk_c3 = identity ),
inference(forward_demodulation,[status(thm)],[f200,f158]) ).
fof(f212,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| multiply(sk_c3,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f222,f200]) ).
fof(f214,plain,
( sQ13_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sk_c3 != sk_c7 ),
inference(backward_demodulation,[status(thm)],[f222,f178]) ).
fof(f220,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sk_c6 = sk_c3 ),
inference(backward_demodulation,[status(thm)],[f222,f155]) ).
fof(f221,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| inverse(sk_c4) = sk_c3 ),
inference(backward_demodulation,[status(thm)],[f222,f56]) ).
fof(f222,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sk_c3 = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f196,f211]) ).
fof(f228,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| multiply(sk_c3,sk_c7) = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f222,f164]) ).
fof(f229,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sk_c7 = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f212,f228]) ).
fof(f230,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sk_c7 = sk_c3 ),
inference(forward_demodulation,[status(thm)],[f222,f229]) ).
fof(f231,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f230,f214]) ).
fof(f232,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f231]) ).
fof(f233,plain,
( sQ14_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c5 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f212,f181]) ).
fof(f234,plain,
( sQ14_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sk_c3 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f222,f233]) ).
fof(f237,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ1_spl
| ~ sQ2_spl
| multiply(inverse(X0),X0) = sk_c3 ),
inference(forward_demodulation,[status(thm)],[f222,f199]) ).
fof(f242,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f230,f234]) ).
fof(f243,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f242]) ).
fof(f246,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| multiply(X0,sk_c5) != sk_c6
| inverse(X0) != sk_c3 ),
inference(forward_demodulation,[status(thm)],[f220,f91]) ).
fof(f247,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| multiply(X0,sk_c3) != sk_c6
| inverse(X0) != sk_c3 ),
inference(forward_demodulation,[status(thm)],[f222,f246]) ).
fof(f248,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| multiply(X0,sk_c3) != sk_c3
| inverse(X0) != sk_c3 ),
inference(forward_demodulation,[status(thm)],[f220,f247]) ).
fof(f257,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| multiply(sk_c3,sk_c4) = sk_c3 ),
inference(paramodulation,[status(thm)],[f221,f237]) ).
fof(f258,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| X0 = multiply(sk_c3,multiply(sk_c4,X0)) ),
inference(paramodulation,[status(thm)],[f221,f136]) ).
fof(f259,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| sk_c4 = sk_c3 ),
inference(forward_demodulation,[status(thm)],[f212,f257]) ).
fof(f260,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| X0 = multiply(sk_c4,X0) ),
inference(forward_demodulation,[status(thm)],[f212,f258]) ).
fof(f261,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| inverse(sk_c4) = sk_c4 ),
inference(backward_demodulation,[status(thm)],[f259,f221]) ).
fof(f276,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| multiply(X0,sk_c3) != sk_c3
| inverse(X0) != sk_c4 ),
inference(forward_demodulation,[status(thm)],[f259,f248]) ).
fof(f277,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| multiply(X0,sk_c4) != sk_c3
| inverse(X0) != sk_c4 ),
inference(forward_demodulation,[status(thm)],[f259,f276]) ).
fof(f278,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| multiply(X0,sk_c4) != sk_c4
| inverse(X0) != sk_c4 ),
inference(forward_demodulation,[status(thm)],[f259,f277]) ).
fof(f279,plain,
( ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| multiply(sk_c4,sk_c4) != sk_c4 ),
inference(resolution,[status(thm)],[f261,f278]) ).
fof(f282,plain,
( ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sk_c4 != sk_c4 ),
inference(forward_demodulation,[status(thm)],[f260,f279]) ).
fof(f283,plain,
( ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f282]) ).
fof(f284,plain,
( ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f283]) ).
fof(f285,definition,
( sQ17_spl
<=> sk_c7 = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f287,plain,
( sQ17_spl
| sk_c7 != sk_c7 ),
inference(component_clause,[status(thm)],[f285]) ).
fof(f288,definition,
( sQ18_spl
<=> inverse(sk_c1) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f290,plain,
( sQ18_spl
| inverse(sk_c1) != sk_c6 ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f291,plain,
( ~ sQ5_spl
| ~ sQ11_spl
| ~ sQ18_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f114,f285,f288,f93,f63]) ).
fof(f292,plain,
( sQ17_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f287]) ).
fof(f293,plain,
sQ17_spl,
inference(contradiction_clause,[status(thm)],[f292]) ).
fof(f296,plain,
( ~ sQ5_spl
| sk_c6 = multiply(inverse(sk_c1),sk_c7) ),
inference(paramodulation,[status(thm)],[f64,f136]) ).
fof(f298,plain,
( ~ sQ5_spl
| ~ sQ0_spl
| sk_c6 = multiply(sk_c7,sk_c7) ),
inference(forward_demodulation,[status(thm)],[f45,f296]) ).
fof(f299,plain,
( sQ18_spl
| ~ sQ0_spl
| sk_c7 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f45,f290]) ).
fof(f300,plain,
! [X0] : multiply(identity,X0) = X0,
inference(paramodulation,[status(thm)],[f136,f146]) ).
fof(f306,plain,
( ~ sQ7_spl
| sk_c5 = multiply(inverse(sk_c2),sk_c6) ),
inference(paramodulation,[status(thm)],[f78,f136]) ).
fof(f308,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| sk_c5 = multiply(sk_c6,sk_c6) ),
inference(forward_demodulation,[status(thm)],[f71,f306]) ).
fof(f311,plain,
( ~ sQ0_spl
| ~ sQ9_spl
| multiply(sk_c1,sk_c6) != sk_c7 ),
inference(resolution,[status(thm)],[f88,f45]) ).
fof(f314,plain,
( ~ sQ0_spl
| ~ sQ9_spl
| ~ sQ5_spl
| sk_c7 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f64,f311]) ).
fof(f315,plain,
( ~ sQ0_spl
| ~ sQ9_spl
| ~ sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f314]) ).
fof(f316,plain,
( ~ sQ0_spl
| ~ sQ9_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f315]) ).
fof(f345,plain,
inverse(identity) = identity,
inference(paramodulation,[status(thm)],[f23,f171]) ).
fof(f391,plain,
( ~ sQ5_spl
| ~ sQ0_spl
| multiply(sk_c5,sk_c7) = multiply(sk_c6,sk_c6) ),
inference(paramodulation,[status(thm)],[f298,f123]) ).
fof(f394,plain,
( ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ6_spl
| multiply(sk_c5,sk_c7) = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f308,f391]) ).
fof(f400,plain,
( ~ sQ5_spl
| multiply(sk_c7,sk_c7) = multiply(sk_c1,sk_c5) ),
inference(paramodulation,[status(thm)],[f25,f121]) ).
fof(f403,plain,
( ~ sQ5_spl
| ~ sQ0_spl
| sk_c6 = multiply(sk_c1,sk_c5) ),
inference(forward_demodulation,[status(thm)],[f298,f400]) ).
fof(f407,plain,
( ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ6_spl
| multiply(sk_c6,sk_c7) = multiply(sk_c2,sk_c5) ),
inference(paramodulation,[status(thm)],[f394,f122]) ).
fof(f408,plain,
( ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ6_spl
| sk_c7 = multiply(inverse(sk_c5),sk_c5) ),
inference(paramodulation,[status(thm)],[f394,f136]) ).
fof(f410,plain,
( ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ6_spl
| sk_c5 = multiply(sk_c2,sk_c5) ),
inference(forward_demodulation,[status(thm)],[f25,f407]) ).
fof(f411,plain,
( ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ6_spl
| sk_c5 = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f78,f410]) ).
fof(f412,plain,
( ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ6_spl
| sk_c7 = identity ),
inference(forward_demodulation,[status(thm)],[f23,f408]) ).
fof(f432,plain,
( ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ6_spl
| sk_c5 = multiply(sk_c7,sk_c7) ),
inference(backward_demodulation,[status(thm)],[f411,f298]) ).
fof(f435,plain,
( ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ6_spl
| multiply(sk_c1,sk_c5) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f411,f64]) ).
fof(f439,plain,
( ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ6_spl
| inverse(identity) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f412,f345]) ).
fof(f443,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ6_spl
| multiply(sk_c7,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f412,f300]) ).
fof(f444,plain,
( ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ6_spl
| inverse(sk_c7) = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f412,f439]) ).
fof(f449,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ6_spl
| multiply(X0,sk_c5) != sk_c5
| inverse(X0) != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f411,f97]) ).
fof(f455,plain,
( ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ12_spl
| sk_c5 != sk_c5
| inverse(sk_c7) != sk_c5 ),
inference(paramodulation,[status(thm)],[f443,f449]) ).
fof(f459,definition,
( sQ26_spl
<=> inverse(sk_c7) = sk_c5 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f461,plain,
( sQ26_spl
| inverse(sk_c7) != sk_c5 ),
inference(component_clause,[status(thm)],[f459]) ).
fof(f462,definition,
( sQ27_spl
<=> sk_c5 = sk_c5 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f464,plain,
( sQ27_spl
| sk_c5 != sk_c5 ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f465,plain,
( ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ12_spl
| ~ sQ27_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f455,f459,f462,f96,f70,f77,f44,f63]) ).
fof(f467,plain,
( sQ26_spl
| ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ6_spl
| sk_c7 != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f444,f461]) ).
fof(f480,plain,
( ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ6_spl
| sk_c5 = multiply(sk_c1,sk_c5) ),
inference(forward_demodulation,[status(thm)],[f411,f403]) ).
fof(f488,plain,
( sQ27_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f464]) ).
fof(f489,plain,
sQ27_spl,
inference(contradiction_clause,[status(thm)],[f488]) ).
fof(f507,plain,
( ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ6_spl
| sk_c5 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f443,f432]) ).
fof(f508,plain,
( ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ6_spl
| sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f507,f178]) ).
fof(f509,plain,
( ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ6_spl
| sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f508]) ).
fof(f512,plain,
( sQ26_spl
| ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f467,f176,f70,f77,f44,f63,f459]) ).
fof(f514,plain,
( sQ18_spl
| ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| sk_c7 != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f411,f299]) ).
fof(f538,plain,
( ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ6_spl
| sk_c5 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f480,f435]) ).
fof(f545,plain,
( sQ18_spl
| ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| sk_c5 != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f538,f514]) ).
fof(f546,plain,
( sQ18_spl
| ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f545]) ).
fof(f547,plain,
( sQ18_spl
| ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f546]) ).
fof(f548,plain,
$false,
inference(sat_refutation,[status(thm)],[f50,f54,f58,f62,f66,f67,f68,f69,f73,f74,f75,f76,f80,f81,f82,f83,f99,f106,f109,f117,f131,f182,f232,f243,f284,f291,f293,f316,f465,f489,f509,f512,f547]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP344-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n015.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sun Sep 20 20:13:06 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.08/0.36 % Refutation found
% 0.08/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.39 % Elapsed time: 0.040066 seconds
% 0.08/0.39 % CPU time: 0.099186 seconds
% 0.08/0.39 % Total memory used: 23.130 MB
% 0.08/0.39 % Net memory used: 23.085 MB
%------------------------------------------------------------------------------