%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : FLD049-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 12:22:02 PM UTC 2026
% Result : Unsatisfiable 87.23s 11.59s
% Output : CNFRefutation 87.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 35
% Syntax : Number of formulae : 131 ( 56 unt; 15 def)
% Number of atoms : 241 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 183 ( 73 ~; 95 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 20 ( 19 usr; 16 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-1 aty)
% Number of variables : 60 ( 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [U,Z,W,X,Y,V] :
( ~ product(X,V,W)
| ~ product(Y,Z,V)
| ~ product(X,Y,U)
| product(U,Z,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] :
( ~ defined(X)
| product(multiplicative_identity,X,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] :
( ~ defined(X)
| sum(additive_identity,X,additive_identity)
| product(multiplicative_inverse(X),X,multiplicative_identity) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [Y,X,Z] :
( ~ product(X,Y,Z)
| product(Y,X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X] :
( ~ defined(X)
| defined(additive_inverse(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X,Y] :
( ~ defined(Y)
| ~ defined(X)
| less_or_equal(Y,X)
| less_or_equal(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,hypothesis,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,hypothesis,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,hypothesis,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,hypothesis,
defined(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,hypothesis,
defined(k),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,hypothesis,
defined(s),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
~ sum(additive_identity,d,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
product(a,multiplicative_inverse(b),s),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
product(c,multiplicative_inverse(d),s),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
product(a,d,k),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
~ product(b,c,k),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,plain,
! [W,X,V] :
( ~ product(X,V,W)
| ! [Z,Y] :
( ~ product(Y,Z,V)
| ! [U] :
( ~ product(X,Y,U)
| product(U,Z,W) ) ) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f49,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ product(X3,X5,X2)
| ~ product(X4,X1,X5)
| ~ product(X3,X4,X0)
| product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f50,plain,
! [X0] :
( ~ defined(X0)
| product(multiplicative_identity,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f51,plain,
! [X0] :
( ~ defined(X0)
| sum(additive_identity,X0,additive_identity)
| product(multiplicative_inverse(X0),X0,multiplicative_identity) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ~ product(X1,X0,X2)
| product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f59,plain,
defined(additive_identity),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f60,plain,
! [X0] :
( ~ defined(X0)
| defined(additive_inverse(X0)) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f63,plain,
defined(multiplicative_identity),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f72,plain,
! [Y] :
( ~ defined(Y)
| ! [X] :
( ~ defined(X)
| less_or_equal(Y,X)
| less_or_equal(X,Y) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f73,plain,
! [X0,X1] :
( ~ defined(X1)
| ~ defined(X0)
| less_or_equal(X1,X0)
| less_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f78,plain,
defined(a),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f79,plain,
defined(b),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f80,plain,
defined(c),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f81,plain,
defined(d),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f82,plain,
defined(k),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f83,plain,
defined(s),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f84,plain,
~ sum(additive_identity,b,additive_identity),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f85,plain,
~ sum(additive_identity,d,additive_identity),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f86,plain,
product(a,multiplicative_inverse(b),s),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f87,plain,
product(c,multiplicative_inverse(d),s),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f88,plain,
product(a,d,k),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f89,plain,
~ product(b,c,k),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f102,plain,
product(multiplicative_identity,c,c),
inference(resolution,[status(thm)],[f50,f80]) ).
fof(f105,plain,
product(multiplicative_identity,a,a),
inference(resolution,[status(thm)],[f50,f78]) ).
fof(f123,definition,
( sQ3_spl
<=> sum(additive_identity,b,additive_identity) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f124,plain,
( ~ sQ3_spl
| sum(additive_identity,b,additive_identity) ),
inference(component_clause,[status(thm)],[f123]) ).
fof(f149,plain,
( sum(additive_identity,b,additive_identity)
| product(multiplicative_inverse(b),b,multiplicative_identity) ),
inference(resolution,[status(thm)],[f51,f79]) ).
fof(f157,definition,
( sQ11_spl
<=> product(multiplicative_inverse(b),b,multiplicative_identity) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f158,plain,
( ~ sQ11_spl
| product(multiplicative_inverse(b),b,multiplicative_identity) ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f160,plain,
( sQ3_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f149,f157,f123]) ).
fof(f173,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f124,f84]) ).
fof(f174,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f173]) ).
fof(f306,plain,
! [X0,X1,X2] :
( ~ product(c,X2,X1)
| ~ product(multiplicative_inverse(d),X0,X2)
| product(s,X0,X1) ),
inference(resolution,[status(thm)],[f87,f49]) ).
fof(f308,plain,
product(d,a,k),
inference(resolution,[status(thm)],[f88,f52]) ).
fof(f312,plain,
! [X0,X1,X2] :
( ~ product(d,X2,X1)
| ~ product(a,X0,X2)
| product(k,X0,X1) ),
inference(resolution,[status(thm)],[f308,f49]) ).
fof(f324,plain,
! [X0] :
( ~ product(d,s,X0)
| product(k,multiplicative_inverse(b),X0) ),
inference(resolution,[status(thm)],[f312,f86]) ).
fof(f341,plain,
! [X0] :
( ~ defined(X0)
| less_or_equal(X0,d)
| less_or_equal(d,X0) ),
inference(resolution,[status(thm)],[f81,f73]) ).
fof(f342,plain,
( sum(additive_identity,d,additive_identity)
| product(multiplicative_inverse(d),d,multiplicative_identity) ),
inference(resolution,[status(thm)],[f81,f51]) ).
fof(f382,definition,
( sQ50_spl
<=> product(multiplicative_inverse(d),d,multiplicative_identity) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( ~ sQ50_spl
| product(multiplicative_inverse(d),d,multiplicative_identity) ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,definition,
( sQ51_spl
<=> sum(additive_identity,d,additive_identity) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f386,plain,
( ~ sQ51_spl
| sum(additive_identity,d,additive_identity) ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f388,plain,
( sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f342,f382,f385]) ).
fof(f393,plain,
( ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f386,f85]) ).
fof(f394,plain,
~ sQ51_spl,
inference(contradiction_clause,[status(thm)],[f393]) ).
fof(f395,plain,
( less_or_equal(d,d)
| less_or_equal(d,d) ),
inference(resolution,[status(thm)],[f341,f81]) ).
fof(f401,definition,
( sQ53_spl
<=> less_or_equal(d,d) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f404,plain,
sQ53_spl,
inference(split_clause,[status(thm)],[f395,f401]) ).
fof(f416,plain,
! [X0] :
( ~ defined(X0)
| less_or_equal(X0,k)
| less_or_equal(k,X0) ),
inference(resolution,[status(thm)],[f82,f73]) ).
fof(f475,plain,
( less_or_equal(k,k)
| less_or_equal(k,k) ),
inference(resolution,[status(thm)],[f416,f82]) ).
fof(f482,definition,
( sQ69_spl
<=> less_or_equal(k,k) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f485,plain,
sQ69_spl,
inference(split_clause,[status(thm)],[f475,f482]) ).
fof(f499,plain,
! [X0] :
( ~ defined(X0)
| less_or_equal(X0,s)
| less_or_equal(s,X0) ),
inference(resolution,[status(thm)],[f83,f73]) ).
fof(f565,plain,
( less_or_equal(s,s)
| less_or_equal(s,s) ),
inference(resolution,[status(thm)],[f499,f83]) ).
fof(f573,definition,
( sQ87_spl
<=> less_or_equal(s,s) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f576,plain,
sQ87_spl,
inference(split_clause,[status(thm)],[f565,f573]) ).
fof(f731,plain,
product(c,multiplicative_identity,c),
inference(resolution,[status(thm)],[f102,f52]) ).
fof(f737,plain,
product(a,multiplicative_identity,a),
inference(resolution,[status(thm)],[f105,f52]) ).
fof(f777,plain,
! [X0] :
( ~ sQ50_spl
| ~ product(c,multiplicative_identity,X0)
| product(s,d,X0) ),
inference(resolution,[status(thm)],[f383,f306]) ).
fof(f900,plain,
defined(additive_inverse(s)),
inference(resolution,[status(thm)],[f60,f83]) ).
fof(f901,plain,
defined(additive_inverse(k)),
inference(resolution,[status(thm)],[f60,f82]) ).
fof(f902,plain,
defined(additive_inverse(d)),
inference(resolution,[status(thm)],[f60,f81]) ).
fof(f903,plain,
defined(additive_inverse(c)),
inference(resolution,[status(thm)],[f60,f80]) ).
fof(f904,plain,
defined(additive_inverse(b)),
inference(resolution,[status(thm)],[f60,f79]) ).
fof(f905,plain,
defined(additive_inverse(multiplicative_identity)),
inference(resolution,[status(thm)],[f60,f63]) ).
fof(f906,plain,
defined(additive_inverse(a)),
inference(resolution,[status(thm)],[f60,f78]) ).
fof(f907,plain,
defined(additive_inverse(additive_identity)),
inference(resolution,[status(thm)],[f60,f59]) ).
fof(f1184,plain,
! [X0] :
( ~ defined(X0)
| less_or_equal(X0,additive_inverse(s))
| less_or_equal(additive_inverse(s),X0) ),
inference(resolution,[status(thm)],[f900,f73]) ).
fof(f1271,plain,
( less_or_equal(additive_inverse(s),additive_inverse(s))
| less_or_equal(additive_inverse(s),additive_inverse(s)) ),
inference(resolution,[status(thm)],[f1184,f900]) ).
fof(f1282,definition,
( sQ174_spl
<=> less_or_equal(additive_inverse(s),additive_inverse(s)) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1285,plain,
sQ174_spl,
inference(split_clause,[status(thm)],[f1271,f1282]) ).
fof(f1319,plain,
! [X0] :
( ~ defined(X0)
| less_or_equal(X0,additive_inverse(k))
| less_or_equal(additive_inverse(k),X0) ),
inference(resolution,[status(thm)],[f901,f73]) ).
fof(f1413,plain,
( less_or_equal(additive_inverse(k),additive_inverse(k))
| less_or_equal(additive_inverse(k),additive_inverse(k)) ),
inference(resolution,[status(thm)],[f1319,f901]) ).
fof(f1425,definition,
( sQ200_spl
<=> less_or_equal(additive_inverse(k),additive_inverse(k)) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1428,plain,
sQ200_spl,
inference(split_clause,[status(thm)],[f1413,f1425]) ).
fof(f1464,plain,
! [X0] :
( ~ defined(X0)
| less_or_equal(X0,additive_inverse(d))
| less_or_equal(additive_inverse(d),X0) ),
inference(resolution,[status(thm)],[f902,f73]) ).
fof(f1565,plain,
( less_or_equal(additive_inverse(d),additive_inverse(d))
| less_or_equal(additive_inverse(d),additive_inverse(d)) ),
inference(resolution,[status(thm)],[f1464,f902]) ).
fof(f1578,definition,
( sQ228_spl
<=> less_or_equal(additive_inverse(d),additive_inverse(d)) ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f1581,plain,
sQ228_spl,
inference(split_clause,[status(thm)],[f1565,f1578]) ).
fof(f1619,plain,
! [X0] :
( ~ defined(X0)
| less_or_equal(X0,additive_inverse(c))
| less_or_equal(additive_inverse(c),X0) ),
inference(resolution,[status(thm)],[f903,f73]) ).
fof(f1727,plain,
( less_or_equal(additive_inverse(c),additive_inverse(c))
| less_or_equal(additive_inverse(c),additive_inverse(c)) ),
inference(resolution,[status(thm)],[f1619,f903]) ).
fof(f1741,definition,
( sQ258_spl
<=> less_or_equal(additive_inverse(c),additive_inverse(c)) ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f1744,plain,
sQ258_spl,
inference(split_clause,[status(thm)],[f1727,f1741]) ).
fof(f1784,plain,
! [X0] :
( ~ defined(X0)
| less_or_equal(X0,additive_inverse(b))
| less_or_equal(additive_inverse(b),X0) ),
inference(resolution,[status(thm)],[f904,f73]) ).
fof(f1899,plain,
( less_or_equal(additive_inverse(b),additive_inverse(b))
| less_or_equal(additive_inverse(b),additive_inverse(b)) ),
inference(resolution,[status(thm)],[f1784,f904]) ).
fof(f1914,definition,
( sQ290_spl
<=> less_or_equal(additive_inverse(b),additive_inverse(b)) ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f1917,plain,
sQ290_spl,
inference(split_clause,[status(thm)],[f1899,f1914]) ).
fof(f1959,plain,
! [X0] :
( ~ defined(X0)
| less_or_equal(X0,additive_inverse(a))
| less_or_equal(additive_inverse(a),X0) ),
inference(resolution,[status(thm)],[f906,f73]) ).
fof(f2081,plain,
( less_or_equal(additive_inverse(a),additive_inverse(a))
| less_or_equal(additive_inverse(a),additive_inverse(a)) ),
inference(resolution,[status(thm)],[f1959,f906]) ).
fof(f2097,definition,
( sQ324_spl
<=> less_or_equal(additive_inverse(a),additive_inverse(a)) ),
introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition]) ).
fof(f2100,plain,
sQ324_spl,
inference(split_clause,[status(thm)],[f2081,f2097]) ).
fof(f2144,plain,
! [X0] :
( ~ defined(X0)
| less_or_equal(X0,additive_inverse(additive_identity))
| less_or_equal(additive_inverse(additive_identity),X0) ),
inference(resolution,[status(thm)],[f907,f73]) ).
fof(f2273,plain,
( less_or_equal(additive_inverse(additive_identity),additive_inverse(additive_identity))
| less_or_equal(additive_inverse(additive_identity),additive_inverse(additive_identity)) ),
inference(resolution,[status(thm)],[f2144,f907]) ).
fof(f2290,definition,
( sQ360_spl
<=> less_or_equal(additive_inverse(additive_identity),additive_inverse(additive_identity)) ),
introduced(definition,[new_symbols(definition,[sQ360_spl])],[split_symbol_definition]) ).
fof(f2293,plain,
sQ360_spl,
inference(split_clause,[status(thm)],[f2273,f2290]) ).
fof(f2830,plain,
! [X0] :
( ~ defined(X0)
| less_or_equal(X0,additive_inverse(multiplicative_identity))
| less_or_equal(additive_inverse(multiplicative_identity),X0) ),
inference(resolution,[status(thm)],[f905,f73]) ).
fof(f3114,plain,
( less_or_equal(additive_inverse(multiplicative_identity),additive_inverse(multiplicative_identity))
| less_or_equal(additive_inverse(multiplicative_identity),additive_inverse(multiplicative_identity)) ),
inference(resolution,[status(thm)],[f2830,f905]) ).
fof(f3132,definition,
( sQ417_spl
<=> less_or_equal(additive_inverse(multiplicative_identity),additive_inverse(multiplicative_identity)) ),
introduced(definition,[new_symbols(definition,[sQ417_spl])],[split_symbol_definition]) ).
fof(f3135,plain,
sQ417_spl,
inference(split_clause,[status(thm)],[f3114,f3132]) ).
fof(f3191,plain,
( ~ sQ50_spl
| product(s,d,c) ),
inference(resolution,[status(thm)],[f731,f777]) ).
fof(f3202,plain,
( ~ sQ50_spl
| product(d,s,c) ),
inference(resolution,[status(thm)],[f3191,f52]) ).
fof(f3206,plain,
( ~ sQ50_spl
| product(k,multiplicative_inverse(b),c) ),
inference(resolution,[status(thm)],[f3202,f324]) ).
fof(f3225,plain,
! [X0,X1,X2] :
( ~ sQ50_spl
| ~ product(k,X2,X1)
| ~ product(multiplicative_inverse(b),X0,X2)
| product(c,X0,X1) ),
inference(resolution,[status(thm)],[f3206,f49]) ).
fof(f3266,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ50_spl
| ~ product(k,multiplicative_identity,X0)
| product(c,b,X0) ),
inference(resolution,[status(thm)],[f3225,f158]) ).
fof(f3359,plain,
! [X0] :
( ~ product(d,a,X0)
| product(k,multiplicative_identity,X0) ),
inference(resolution,[status(thm)],[f737,f312]) ).
fof(f3482,plain,
product(k,multiplicative_identity,k),
inference(resolution,[status(thm)],[f3359,f308]) ).
fof(f3490,plain,
( ~ sQ11_spl
| ~ sQ50_spl
| product(c,b,k) ),
inference(resolution,[status(thm)],[f3482,f3266]) ).
fof(f3509,plain,
( ~ sQ11_spl
| ~ sQ50_spl
| product(b,c,k) ),
inference(resolution,[status(thm)],[f3490,f52]) ).
fof(f3513,plain,
( ~ sQ11_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3509,f89]) ).
fof(f3514,plain,
( ~ sQ11_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f3513]) ).
fof(f3515,plain,
$false,
inference(sat_refutation,[status(thm)],[f160,f174,f388,f394,f404,f485,f576,f1285,f1428,f1581,f1744,f1917,f2100,f2293,f3135,f3514]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : FLD049-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.45 % Computer : n013.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Mon Sep 21 15:41:05 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.48 % Drodi V4.1.1
% 87.23/11.59 % Refutation found
% 87.23/11.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 87.23/11.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.27/11.78 % Elapsed time: 11.296859 seconds
% 6.27/11.78 % CPU time: 88.281213 seconds
% 6.27/11.78 % Total memory used: 304.723 MB
% 6.27/11.78 % Net memory used: 273.766 MB
%------------------------------------------------------------------------------