TSTP Solution File: KLE015+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KLE015+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:24:10 EDT 2024
% Result : Theorem 2.07s 0.66s
% Output : CNFRefutation 2.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 21
% Syntax : Number of formulae : 119 ( 46 unt; 0 def)
% Number of atoms : 239 ( 99 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 204 ( 84 ~; 84 |; 19 &)
% ( 14 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 11 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 92 ( 87 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : addition(A,B) = addition(B,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] : addition(A,zero) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : addition(A,A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : multiplication(A,one) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X0] :
( test(X0)
<=> ? [X1] : complement(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X0,X1] :
( complement(X1,X0)
<=> ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,conjecture,
! [X0,X1] :
( ( test(X1)
& test(X0) )
=> multiplication(multiplication(addition(X0,X1),c(X0)),c(X1)) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
~ ! [X0,X1] :
( ( test(X1)
& test(X0) )
=> multiplication(multiplication(addition(X0,X1),c(X0)),c(X1)) = zero ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f20,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f21,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f22,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f24,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f26,plain,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f27,plain,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f34,plain,
! [X0] :
( ( ~ test(X0)
| ? [X1] : complement(X1,X0) )
& ( test(X0)
| ! [X1] : ~ complement(X1,X0) ) ),
inference(NNF_transformation,[status(esa)],[f13]) ).
fof(f35,plain,
( ! [X0] :
( ~ test(X0)
| ? [X1] : complement(X1,X0) )
& ! [X0] :
( test(X0)
| ! [X1] : ~ complement(X1,X0) ) ),
inference(miniscoping,[status(esa)],[f34]) ).
fof(f36,plain,
( ! [X0] :
( ~ test(X0)
| complement(sk0_0(X0),X0) )
& ! [X0] :
( test(X0)
| ! [X1] : ~ complement(X1,X0) ) ),
inference(skolemization,[status(esa)],[f35]) ).
fof(f37,plain,
! [X0] :
( ~ test(X0)
| complement(sk0_0(X0),X0) ),
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f39,plain,
! [X0,X1] :
( ( ~ complement(X1,X0)
| ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one ) )
& ( complement(X1,X0)
| multiplication(X0,X1) != zero
| multiplication(X1,X0) != zero
| addition(X0,X1) != one ) ),
inference(NNF_transformation,[status(esa)],[f14]) ).
fof(f40,plain,
( ! [X0,X1] :
( ~ complement(X1,X0)
| ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one ) )
& ! [X0,X1] :
( complement(X1,X0)
| multiplication(X0,X1) != zero
| multiplication(X1,X0) != zero
| addition(X0,X1) != one ) ),
inference(miniscoping,[status(esa)],[f39]) ).
fof(f41,plain,
! [X0,X1] :
( ~ complement(X0,X1)
| multiplication(X1,X0) = zero ),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f42,plain,
! [X0,X1] :
( ~ complement(X0,X1)
| multiplication(X0,X1) = zero ),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f43,plain,
! [X0,X1] :
( ~ complement(X0,X1)
| addition(X1,X0) = one ),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f44,plain,
! [X0,X1] :
( complement(X0,X1)
| multiplication(X1,X0) != zero
| multiplication(X0,X1) != zero
| addition(X1,X0) != one ),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f45,plain,
! [X0,X1] :
( ~ test(X0)
| ( c(X0) = X1
<=> complement(X0,X1) ) ),
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f46,plain,
! [X0,X1] :
( ~ test(X0)
| ( ( c(X0) != X1
| complement(X0,X1) )
& ( c(X0) = X1
| ~ complement(X0,X1) ) ) ),
inference(NNF_transformation,[status(esa)],[f45]) ).
fof(f47,plain,
! [X0] :
( ~ test(X0)
| ( ! [X1] :
( c(X0) != X1
| complement(X0,X1) )
& ! [X1] :
( c(X0) = X1
| ~ complement(X0,X1) ) ) ),
inference(miniscoping,[status(esa)],[f46]) ).
fof(f48,plain,
! [X0,X1] :
( ~ test(X0)
| c(X0) != X1
| complement(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f49,plain,
! [X0,X1] :
( ~ test(X0)
| c(X0) = X1
| ~ complement(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f52,plain,
? [X0,X1] :
( test(X1)
& test(X0)
& multiplication(multiplication(addition(X0,X1),c(X0)),c(X1)) != zero ),
inference(pre_NNF_transformation,[status(esa)],[f18]) ).
fof(f53,plain,
( test(sk0_2)
& test(sk0_1)
& multiplication(multiplication(addition(sk0_1,sk0_2),c(sk0_1)),c(sk0_2)) != zero ),
inference(skolemization,[status(esa)],[f52]) ).
fof(f54,plain,
test(sk0_2),
inference(cnf_transformation,[status(esa)],[f53]) ).
fof(f55,plain,
test(sk0_1),
inference(cnf_transformation,[status(esa)],[f53]) ).
fof(f56,plain,
multiplication(multiplication(addition(sk0_1,sk0_2),c(sk0_1)),c(sk0_2)) != zero,
inference(cnf_transformation,[status(esa)],[f53]) ).
fof(f57,plain,
! [X0] :
( ~ test(X0)
| complement(X0,c(X0)) ),
inference(destructive_equality_resolution,[status(esa)],[f48]) ).
fof(f58,plain,
! [X0] : X0 = addition(zero,X0),
inference(paramodulation,[status(thm)],[f21,f19]) ).
fof(f67,plain,
complement(sk0_2,c(sk0_2)),
inference(resolution,[status(thm)],[f57,f54]) ).
fof(f79,plain,
! [X0,X1] : addition(X0,addition(X0,X1)) = addition(X0,X1),
inference(paramodulation,[status(thm)],[f22,f20]) ).
fof(f118,plain,
complement(sk0_0(sk0_1),sk0_1),
inference(resolution,[status(thm)],[f37,f55]) ).
fof(f119,plain,
complement(sk0_0(sk0_2),sk0_2),
inference(resolution,[status(thm)],[f37,f54]) ).
fof(f133,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(paramodulation,[status(thm)],[f24,f26]) ).
fof(f188,plain,
multiplication(sk0_1,sk0_0(sk0_1)) = zero,
inference(resolution,[status(thm)],[f41,f118]) ).
fof(f191,plain,
multiplication(sk0_2,sk0_0(sk0_2)) = zero,
inference(resolution,[status(thm)],[f119,f41]) ).
fof(f195,plain,
! [X0] : multiplication(addition(sk0_1,X0),sk0_0(sk0_1)) = addition(zero,multiplication(X0,sk0_0(sk0_1))),
inference(paramodulation,[status(thm)],[f188,f27]) ).
fof(f196,plain,
! [X0] : multiplication(addition(sk0_1,X0),sk0_0(sk0_1)) = multiplication(X0,sk0_0(sk0_1)),
inference(forward_demodulation,[status(thm)],[f58,f195]) ).
fof(f225,plain,
! [X0] : multiplication(addition(sk0_2,X0),sk0_0(sk0_2)) = addition(zero,multiplication(X0,sk0_0(sk0_2))),
inference(paramodulation,[status(thm)],[f191,f27]) ).
fof(f226,plain,
! [X0] : multiplication(addition(sk0_2,X0),sk0_0(sk0_2)) = multiplication(X0,sk0_0(sk0_2)),
inference(forward_demodulation,[status(thm)],[f58,f225]) ).
fof(f560,plain,
( spl0_20
<=> test(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f562,plain,
( ~ test(sk0_2)
| spl0_20 ),
inference(component_clause,[status(thm)],[f560]) ).
fof(f568,plain,
( spl0_22
<=> test(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f570,plain,
( ~ test(sk0_1)
| spl0_22 ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f576,plain,
( $false
| spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f570,f55]) ).
fof(f577,plain,
spl0_22,
inference(contradiction_clause,[status(thm)],[f576]) ).
fof(f578,plain,
( $false
| spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f562,f54]) ).
fof(f579,plain,
spl0_20,
inference(contradiction_clause,[status(thm)],[f578]) ).
fof(f726,plain,
multiplication(sk0_0(sk0_2),sk0_2) = zero,
inference(resolution,[status(thm)],[f42,f119]) ).
fof(f727,plain,
multiplication(sk0_0(sk0_1),sk0_1) = zero,
inference(resolution,[status(thm)],[f42,f118]) ).
fof(f728,plain,
multiplication(sk0_2,c(sk0_2)) = zero,
inference(resolution,[status(thm)],[f42,f67]) ).
fof(f739,plain,
addition(sk0_2,sk0_0(sk0_2)) = one,
inference(resolution,[status(thm)],[f43,f119]) ).
fof(f740,plain,
addition(sk0_0(sk0_2),sk0_2) = one,
inference(forward_demodulation,[status(thm)],[f19,f739]) ).
fof(f741,plain,
addition(sk0_1,sk0_0(sk0_1)) = one,
inference(resolution,[status(thm)],[f43,f118]) ).
fof(f742,plain,
addition(sk0_0(sk0_1),sk0_1) = one,
inference(forward_demodulation,[status(thm)],[f19,f741]) ).
fof(f922,plain,
( spl0_31
<=> complement(sk0_1,sk0_0(sk0_1)) ),
introduced(split_symbol_definition) ).
fof(f923,plain,
( complement(sk0_1,sk0_0(sk0_1))
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f922]) ).
fof(f925,plain,
( spl0_32
<=> multiplication(sk0_1,sk0_0(sk0_1)) = zero ),
introduced(split_symbol_definition) ).
fof(f927,plain,
( multiplication(sk0_1,sk0_0(sk0_1)) != zero
| spl0_32 ),
inference(component_clause,[status(thm)],[f925]) ).
fof(f928,plain,
( spl0_33
<=> addition(sk0_0(sk0_1),sk0_1) = one ),
introduced(split_symbol_definition) ).
fof(f930,plain,
( addition(sk0_0(sk0_1),sk0_1) != one
| spl0_33 ),
inference(component_clause,[status(thm)],[f928]) ).
fof(f931,plain,
( complement(sk0_1,sk0_0(sk0_1))
| multiplication(sk0_1,sk0_0(sk0_1)) != zero
| addition(sk0_0(sk0_1),sk0_1) != one ),
inference(resolution,[status(thm)],[f44,f727]) ).
fof(f932,plain,
( spl0_31
| ~ spl0_32
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f931,f922,f925,f928]) ).
fof(f933,plain,
( spl0_34
<=> complement(sk0_2,sk0_0(sk0_2)) ),
introduced(split_symbol_definition) ).
fof(f934,plain,
( complement(sk0_2,sk0_0(sk0_2))
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f933]) ).
fof(f936,plain,
( spl0_35
<=> multiplication(sk0_2,sk0_0(sk0_2)) = zero ),
introduced(split_symbol_definition) ).
fof(f938,plain,
( multiplication(sk0_2,sk0_0(sk0_2)) != zero
| spl0_35 ),
inference(component_clause,[status(thm)],[f936]) ).
fof(f939,plain,
( spl0_36
<=> addition(sk0_0(sk0_2),sk0_2) = one ),
introduced(split_symbol_definition) ).
fof(f941,plain,
( addition(sk0_0(sk0_2),sk0_2) != one
| spl0_36 ),
inference(component_clause,[status(thm)],[f939]) ).
fof(f942,plain,
( complement(sk0_2,sk0_0(sk0_2))
| multiplication(sk0_2,sk0_0(sk0_2)) != zero
| addition(sk0_0(sk0_2),sk0_2) != one ),
inference(resolution,[status(thm)],[f44,f726]) ).
fof(f943,plain,
( spl0_34
| ~ spl0_35
| ~ spl0_36 ),
inference(split_clause,[status(thm)],[f942,f933,f936,f939]) ).
fof(f1214,plain,
( one != one
| spl0_36 ),
inference(forward_demodulation,[status(thm)],[f740,f941]) ).
fof(f1215,plain,
( $false
| spl0_36 ),
inference(trivial_equality_resolution,[status(esa)],[f1214]) ).
fof(f1216,plain,
spl0_36,
inference(contradiction_clause,[status(thm)],[f1215]) ).
fof(f1217,plain,
( zero != zero
| spl0_35 ),
inference(forward_demodulation,[status(thm)],[f191,f938]) ).
fof(f1218,plain,
( $false
| spl0_35 ),
inference(trivial_equality_resolution,[status(esa)],[f1217]) ).
fof(f1219,plain,
spl0_35,
inference(contradiction_clause,[status(thm)],[f1218]) ).
fof(f1444,plain,
( spl0_85
<=> c(sk0_2) = sk0_0(sk0_2) ),
introduced(split_symbol_definition) ).
fof(f1445,plain,
( c(sk0_2) = sk0_0(sk0_2)
| ~ spl0_85 ),
inference(component_clause,[status(thm)],[f1444]) ).
fof(f1447,plain,
( ~ test(sk0_2)
| c(sk0_2) = sk0_0(sk0_2)
| ~ spl0_34 ),
inference(resolution,[status(thm)],[f934,f49]) ).
fof(f1448,plain,
( ~ spl0_20
| spl0_85
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f1447,f560,f1444,f933]) ).
fof(f1726,plain,
addition(sk0_0(sk0_1),one) = addition(sk0_0(sk0_1),sk0_1),
inference(paramodulation,[status(thm)],[f742,f79]) ).
fof(f1727,plain,
addition(one,sk0_0(sk0_1)) = addition(sk0_0(sk0_1),sk0_1),
inference(forward_demodulation,[status(thm)],[f19,f1726]) ).
fof(f1728,plain,
addition(one,sk0_0(sk0_1)) = one,
inference(forward_demodulation,[status(thm)],[f742,f1727]) ).
fof(f1957,plain,
( one != one
| spl0_33 ),
inference(forward_demodulation,[status(thm)],[f742,f930]) ).
fof(f1958,plain,
( $false
| spl0_33 ),
inference(trivial_equality_resolution,[status(esa)],[f1957]) ).
fof(f1959,plain,
spl0_33,
inference(contradiction_clause,[status(thm)],[f1958]) ).
fof(f1960,plain,
( zero != zero
| spl0_32 ),
inference(forward_demodulation,[status(thm)],[f188,f927]) ).
fof(f1961,plain,
( $false
| spl0_32 ),
inference(trivial_equality_resolution,[status(esa)],[f1960]) ).
fof(f1962,plain,
spl0_32,
inference(contradiction_clause,[status(thm)],[f1961]) ).
fof(f1965,plain,
( spl0_112
<=> c(sk0_1) = sk0_0(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f1966,plain,
( c(sk0_1) = sk0_0(sk0_1)
| ~ spl0_112 ),
inference(component_clause,[status(thm)],[f1965]) ).
fof(f1968,plain,
( ~ test(sk0_1)
| c(sk0_1) = sk0_0(sk0_1)
| ~ spl0_31 ),
inference(resolution,[status(thm)],[f923,f49]) ).
fof(f1969,plain,
( ~ spl0_22
| spl0_112
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f1968,f568,f1965,f922]) ).
fof(f1984,plain,
! [X0] :
( multiplication(addition(sk0_1,X0),sk0_0(sk0_1)) = multiplication(X0,c(sk0_1))
| ~ spl0_112 ),
inference(backward_demodulation,[status(thm)],[f1966,f196]) ).
fof(f1985,plain,
! [X0] :
( multiplication(addition(sk0_1,X0),c(sk0_1)) = multiplication(X0,c(sk0_1))
| ~ spl0_112 ),
inference(forward_demodulation,[status(thm)],[f1966,f1984]) ).
fof(f2143,plain,
( addition(one,c(sk0_1)) = one
| ~ spl0_112 ),
inference(forward_demodulation,[status(thm)],[f1966,f1728]) ).
fof(f2971,plain,
( multiplication(multiplication(sk0_2,c(sk0_1)),c(sk0_2)) != zero
| ~ spl0_112 ),
inference(backward_demodulation,[status(thm)],[f1985,f56]) ).
fof(f3096,plain,
! [X0] :
( multiplication(addition(sk0_2,X0),c(sk0_2)) = multiplication(X0,sk0_0(sk0_2))
| ~ spl0_85 ),
inference(forward_demodulation,[status(thm)],[f1445,f226]) ).
fof(f3097,plain,
! [X0] :
( multiplication(addition(sk0_2,X0),c(sk0_2)) = multiplication(X0,c(sk0_2))
| ~ spl0_85 ),
inference(forward_demodulation,[status(thm)],[f1445,f3096]) ).
fof(f3684,plain,
! [X0] :
( multiplication(X0,one) = addition(X0,multiplication(X0,c(sk0_1)))
| ~ spl0_112 ),
inference(paramodulation,[status(thm)],[f2143,f133]) ).
fof(f3685,plain,
! [X0] :
( X0 = addition(X0,multiplication(X0,c(sk0_1)))
| ~ spl0_112 ),
inference(forward_demodulation,[status(thm)],[f24,f3684]) ).
fof(f4980,plain,
( multiplication(sk0_2,c(sk0_2)) = multiplication(multiplication(sk0_2,c(sk0_1)),c(sk0_2))
| ~ spl0_85
| ~ spl0_112 ),
inference(paramodulation,[status(thm)],[f3685,f3097]) ).
fof(f4981,plain,
( zero = multiplication(multiplication(sk0_2,c(sk0_1)),c(sk0_2))
| ~ spl0_85
| ~ spl0_112 ),
inference(forward_demodulation,[status(thm)],[f728,f4980]) ).
fof(f4982,plain,
( $false
| ~ spl0_85
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[status(thm)],[f4981,f2971]) ).
fof(f4983,plain,
( ~ spl0_85
| ~ spl0_112 ),
inference(contradiction_clause,[status(thm)],[f4982]) ).
fof(f4984,plain,
$false,
inference(sat_refutation,[status(thm)],[f577,f579,f932,f943,f1216,f1219,f1448,f1959,f1962,f1969,f4983]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KLE015+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 01:15:13 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 2.07/0.66 % Refutation found
% 2.07/0.66 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.07/0.66 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.42/0.69 % Elapsed time: 0.331034 seconds
% 2.42/0.69 % CPU time: 2.451806 seconds
% 2.42/0.69 % Total memory used: 89.529 MB
% 2.42/0.69 % Net memory used: 88.856 MB
%------------------------------------------------------------------------------