%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : KLE080+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 : Sun Sep 27 07:44:16 AM UTC 2026
% Result : Theorem 13.94s 2.25s
% Output : CNFRefutation 13.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 15
% Syntax : Number of formulae : 121 ( 117 unt; 0 def)
% Number of atoms : 129 ( 128 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 4 ~; 0 |; 6 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 179 ( 7 sgn 28 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(additive_commutativity,axiom,
! [A,B] : addition(A,B) = addition(B,A),
file('theBenchmark.p',additive_commutativity) ).
fof(additive_associativity,axiom,
! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C),
file('theBenchmark.p',additive_associativity) ).
fof(additive_identity,axiom,
! [A] : addition(A,zero) = A,
file('theBenchmark.p',additive_identity) ).
fof(additive_idempotence,axiom,
! [A] : addition(A,A) = A,
file('theBenchmark.p',additive_idempotence) ).
fof(multiplicative_right_identity,axiom,
! [A] : multiplication(A,one) = A,
file('theBenchmark.p',multiplicative_right_identity) ).
fof(multiplicative_left_identity,axiom,
! [A] : multiplication(one,A) = A,
file('theBenchmark.p',multiplicative_left_identity) ).
fof(right_distributivity,axiom,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
file('theBenchmark.p',right_distributivity) ).
fof(left_distributivity,axiom,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
file('theBenchmark.p',left_distributivity) ).
fof(left_annihilation,axiom,
! [A] : multiplication(zero,A) = zero,
file('theBenchmark.p',left_annihilation) ).
fof(domain1,axiom,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
file('theBenchmark.p',domain1) ).
fof(domain2,axiom,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
file('theBenchmark.p',domain2) ).
fof(domain3,axiom,
! [X0] : addition(domain(X0),one) = one,
file('theBenchmark.p',domain3) ).
fof(domain5,axiom,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
file('theBenchmark.p',domain5) ).
fof(goals,conjecture,
! [X0] :
( ! [X1] :
( multiplication(domain(X1),antidomain(X1)) = zero
& addition(domain(X1),antidomain(X1)) = one )
=> antidomain(antidomain(X0)) = domain(X0) ),
file('theBenchmark.p',goals) ).
fof(goals_neg,negated_conjecture,
~ ! [X0] :
( ! [X1] :
( multiplication(domain(X1),antidomain(X1)) = zero
& addition(domain(X1),antidomain(X1)) = one )
=> antidomain(antidomain(X0)) = domain(X0) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(nnf_17,plain,
? [X0] :
( antidomain(antidomain(X0)) != domain(X0)
& ! [X1] :
( multiplication(domain(X1),antidomain(X1)) = zero
& addition(domain(X1),antidomain(X1)) = one ) ),
inference(fof_nnf,[status(thm)],[goals_neg]) ).
fof(sk_goals_neg,plain,
( antidomain(antidomain(sK0)) != domain(sK0)
& ! [X1] :
( multiplication(domain(X1),antidomain(X1)) = zero
& addition(domain(X1),antidomain(X1)) = one ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[nnf_17]) ).
cnf(c_20,negated_conjecture,
antidomain(antidomain(sK0)) != domain(sK0),
inference(split_conjunct,[status(thm)],[sk_goals_neg]) ).
cnf(c_21,negated_conjecture,
multiplication(domain(A),antidomain(A)) = zero,
inference(split_conjunct,[status(thm)],[sk_goals_neg]) ).
cnf(c_22,negated_conjecture,
addition(domain(A),antidomain(A)) = one,
inference(split_conjunct,[status(thm)],[sk_goals_neg]) ).
cnf(c_23,plain,
domain(addition(A,B)) = addition(domain(A),domain(B)),
inference(clausify,[status(thm)],[domain5]) ).
cnf(c_24,plain,
addition(domain(A),domain(B)) = domain(addition(A,B)),
inference(copy,[status(thm)],[c_23]) ).
fof(domain4,axiom,
domain(zero) = zero,
file('theBenchmark.p',domain4) ).
cnf(c_25,plain,
domain(zero) = zero,
inference(clausify,[status(thm)],[domain4]) ).
cnf(c_26,plain,
addition(domain(A),one) = one,
inference(clausify,[status(thm)],[domain3]) ).
cnf(c_27,plain,
domain(multiplication(A,domain(B))) = domain(multiplication(A,B)),
inference(clausify,[status(thm)],[domain2]) ).
cnf(c_28,plain,
multiplication(domain(A),A) = addition(A,multiplication(domain(A),A)),
inference(clausify,[status(thm)],[domain1]) ).
cnf(c_29,plain,
addition(A,multiplication(domain(A),A)) = multiplication(domain(A),A),
inference(copy,[status(thm)],[c_28]) ).
cnf(c_30,plain,
multiplication(zero,A) = zero,
inference(clausify,[status(thm)],[left_annihilation]) ).
cnf(c_32,plain,
multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(clausify,[status(thm)],[left_distributivity]) ).
cnf(c_33,plain,
addition(multiplication(A,B),multiplication(C,B)) = multiplication(addition(A,C),B),
inference(copy,[status(thm)],[c_32]) ).
cnf(c_34,plain,
multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
inference(clausify,[status(thm)],[right_distributivity]) ).
cnf(c_35,plain,
addition(multiplication(A,B),multiplication(A,C)) = multiplication(A,addition(B,C)),
inference(copy,[status(thm)],[c_34]) ).
cnf(c_36,plain,
multiplication(one,A) = A,
inference(clausify,[status(thm)],[multiplicative_left_identity]) ).
cnf(c_37,plain,
multiplication(A,one) = A,
inference(clausify,[status(thm)],[multiplicative_right_identity]) ).
cnf(c_39,plain,
addition(A,A) = A,
inference(clausify,[status(thm)],[additive_idempotence]) ).
cnf(c_40,plain,
addition(A,zero) = A,
inference(clausify,[status(thm)],[additive_identity]) ).
cnf(c_41,plain,
addition(addition(A,B),C) = addition(A,addition(B,C)),
inference(clausify,[status(thm)],[additive_associativity]) ).
cnf(c_42,plain,
addition(A,B) = addition(B,A),
inference(clausify,[status(thm)],[additive_commutativity]) ).
cnf(c_43,plain,
addition(one,domain(A)) = one,
inference(paramod,[status(thm)],[c_42,c_26]) ).
cnf(c_3195,plain,
addition(multiplication(A,domain(B)),multiplication(domain(multiplication(A,B)),multiplication(A,domain(B)))) = multiplication(domain(multiplication(A,domain(B))),multiplication(A,domain(B))),
inference(paramod,[status(thm)],[c_27,c_29]) ).
cnf(c_53,plain,
addition(multiplication(A,domain(B)),multiplication(domain(multiplication(A,B)),multiplication(A,domain(B)))) = multiplication(domain(multiplication(A,B)),multiplication(A,domain(B))),
inference(paramod,[status(thm)],[c_27,c_3195]) ).
cnf(c_3196,plain,
addition(zero,multiplication(A,antidomain(B))) = multiplication(addition(domain(B),A),antidomain(B)),
inference(paramod,[status(thm)],[c_21,c_33]) ).
cnf(c_54,plain,
multiplication(addition(domain(A),B),antidomain(A)) = addition(zero,multiplication(B,antidomain(A))),
inference(copy,[status(thm)],[c_3196]) ).
cnf(c_3197,plain,
addition(multiplication(A,antidomain(B)),zero) = multiplication(addition(A,domain(B)),antidomain(B)),
inference(paramod,[status(thm)],[c_21,c_33]) ).
cnf(c_3198,plain,
addition(zero,multiplication(A,antidomain(B))) = multiplication(addition(A,domain(B)),antidomain(B)),
inference(paramod,[status(thm)],[c_42,c_3197]) ).
cnf(c_55,plain,
multiplication(addition(A,domain(B)),antidomain(B)) = addition(zero,multiplication(A,antidomain(B))),
inference(copy,[status(thm)],[c_3198]) ).
cnf(c_57,plain,
addition(zero,multiplication(A,B)) = multiplication(addition(zero,A),B),
inference(paramod,[status(thm)],[c_30,c_33]) ).
cnf(c_3199,plain,
addition(multiplication(A,B),zero) = multiplication(addition(A,zero),B),
inference(paramod,[status(thm)],[c_30,c_33]) ).
cnf(c_3200,plain,
addition(zero,multiplication(A,B)) = multiplication(addition(A,zero),B),
inference(paramod,[status(thm)],[c_42,c_3199]) ).
cnf(c_3201,plain,
multiplication(addition(zero,A),B) = multiplication(addition(A,zero),B),
inference(paramod,[status(thm)],[c_57,c_3200]) ).
cnf(c_58,plain,
multiplication(addition(zero,A),B) = multiplication(A,B),
inference(paramod,[status(thm)],[c_40,c_3201]) ).
cnf(c_3202,plain,
multiplication(addition(A,domain(B)),antidomain(B)) = multiplication(addition(zero,A),antidomain(B)),
inference(paramod,[status(thm)],[c_57,c_55]) ).
cnf(c_59,plain,
multiplication(addition(A,domain(B)),antidomain(B)) = multiplication(A,antidomain(B)),
inference(paramod,[status(thm)],[c_58,c_3202]) ).
cnf(c_3203,plain,
multiplication(addition(domain(A),B),antidomain(A)) = multiplication(addition(zero,B),antidomain(A)),
inference(paramod,[status(thm)],[c_57,c_54]) ).
cnf(c_60,plain,
multiplication(addition(domain(A),B),antidomain(A)) = multiplication(B,antidomain(A)),
inference(paramod,[status(thm)],[c_58,c_3203]) ).
cnf(c_61,plain,
addition(zero,multiplication(A,B)) = multiplication(A,B),
inference(paramod,[status(thm)],[c_58,c_57]) ).
cnf(c_3204,plain,
addition(zero,multiplication(domain(A),B)) = multiplication(domain(A),addition(antidomain(A),B)),
inference(paramod,[status(thm)],[c_21,c_35]) ).
cnf(c_3205,plain,
multiplication(domain(A),B) = multiplication(domain(A),addition(antidomain(A),B)),
inference(paramod,[status(thm)],[c_61,c_3204]) ).
cnf(c_62,plain,
multiplication(domain(A),addition(antidomain(A),B)) = multiplication(domain(A),B),
inference(copy,[status(thm)],[c_3205]) ).
cnf(c_3206,plain,
domain(domain(A)) = domain(multiplication(one,A)),
inference(paramod,[status(thm)],[c_36,c_27]) ).
cnf(c_65,plain,
domain(domain(A)) = domain(A),
inference(paramod,[status(thm)],[c_36,c_3206]) ).
cnf(c_3207,plain,
addition(A,multiplication(B,A)) = multiplication(addition(one,B),A),
inference(paramod,[status(thm)],[c_36,c_33]) ).
cnf(c_66,plain,
multiplication(addition(one,A),B) = addition(B,multiplication(A,B)),
inference(copy,[status(thm)],[c_3207]) ).
cnf(c_3208,plain,
multiplication(addition(one,domain(multiplication(A,B))),multiplication(A,domain(B))) = multiplication(domain(multiplication(A,B)),multiplication(A,domain(B))),
inference(paramod,[status(thm)],[c_66,c_53]) ).
cnf(c_3209,plain,
multiplication(one,multiplication(A,domain(B))) = multiplication(domain(multiplication(A,B)),multiplication(A,domain(B))),
inference(paramod,[status(thm)],[c_43,c_3208]) ).
cnf(c_3210,plain,
multiplication(A,domain(B)) = multiplication(domain(multiplication(A,B)),multiplication(A,domain(B))),
inference(paramod,[status(thm)],[c_36,c_3209]) ).
cnf(c_69,plain,
multiplication(domain(multiplication(A,B)),multiplication(A,domain(B))) = multiplication(A,domain(B)),
inference(copy,[status(thm)],[c_3210]) ).
cnf(c_3211,plain,
addition(one,domain(one)) = multiplication(domain(one),one),
inference(paramod,[status(thm)],[c_37,c_29]) ).
cnf(c_3212,plain,
one = multiplication(domain(one),one),
inference(paramod,[status(thm)],[c_43,c_3211]) ).
cnf(c_3213,plain,
one = domain(one),
inference(paramod,[status(thm)],[c_37,c_3212]) ).
cnf(c_70,plain,
domain(one) = one,
inference(copy,[status(thm)],[c_3213]) ).
cnf(c_3214,plain,
addition(A,multiplication(A,B)) = multiplication(A,addition(one,B)),
inference(paramod,[status(thm)],[c_37,c_35]) ).
cnf(c_71,plain,
multiplication(A,addition(one,B)) = addition(A,multiplication(A,B)),
inference(copy,[status(thm)],[c_3214]) ).
cnf(c_3215,plain,
addition(addition(A,B),B) = addition(A,B),
inference(paramod,[status(thm)],[c_39,c_41]) ).
cnf(c_85,plain,
addition(A,addition(B,A)) = addition(B,A),
inference(paramod,[status(thm)],[c_42,c_3215]) ).
cnf(c_88,plain,
addition(zero,A) = A,
inference(paramod,[status(thm)],[c_42,c_40]) ).
cnf(c_3216,plain,
addition(multiplication(one,A),multiplication(domain(B),A)) = multiplication(one,A),
inference(paramod,[status(thm)],[c_43,c_33]) ).
cnf(c_3217,plain,
addition(A,multiplication(domain(B),A)) = multiplication(one,A),
inference(paramod,[status(thm)],[c_36,c_3216]) ).
cnf(c_91,plain,
addition(A,multiplication(domain(B),A)) = A,
inference(paramod,[status(thm)],[c_36,c_3217]) ).
cnf(c_3218,plain,
A = multiplication(domain(A),A),
inference(paramod,[status(thm)],[c_91,c_29]) ).
cnf(c_94,plain,
multiplication(domain(A),A) = A,
inference(copy,[status(thm)],[c_3218]) ).
cnf(c_3219,plain,
multiplication(domain(A),addition(one,A)) = addition(domain(A),A),
inference(paramod,[status(thm)],[c_94,c_71]) ).
cnf(c_182,plain,
multiplication(domain(A),addition(one,A)) = addition(A,domain(A)),
inference(paramod,[status(thm)],[c_42,c_3219]) ).
cnf(c_3220,plain,
addition(antidomain(A),one) = addition(domain(A),antidomain(A)),
inference(paramod,[status(thm)],[c_22,c_85]) ).
cnf(c_3221,plain,
addition(one,antidomain(A)) = addition(domain(A),antidomain(A)),
inference(paramod,[status(thm)],[c_42,c_3220]) ).
cnf(c_281,plain,
addition(one,antidomain(A)) = one,
inference(paramod,[status(thm)],[c_22,c_3221]) ).
cnf(c_3222,plain,
multiplication(domain(antidomain(A)),one) = addition(antidomain(A),domain(antidomain(A))),
inference(paramod,[status(thm)],[c_281,c_182]) ).
cnf(c_3223,plain,
domain(antidomain(A)) = addition(antidomain(A),domain(antidomain(A))),
inference(paramod,[status(thm)],[c_37,c_3222]) ).
cnf(c_287,plain,
addition(antidomain(A),domain(antidomain(A))) = domain(antidomain(A)),
inference(copy,[status(thm)],[c_3223]) ).
cnf(c_305,plain,
multiplication(domain(addition(A,B)),antidomain(B)) = multiplication(domain(A),antidomain(B)),
inference(paramod,[status(thm)],[c_24,c_59]) ).
cnf(c_3224,plain,
multiplication(one,antidomain(A)) = multiplication(antidomain(A),antidomain(A)),
inference(paramod,[status(thm)],[c_22,c_60]) ).
cnf(c_3225,plain,
antidomain(A) = multiplication(antidomain(A),antidomain(A)),
inference(paramod,[status(thm)],[c_36,c_3224]) ).
cnf(c_374,plain,
multiplication(antidomain(A),antidomain(A)) = antidomain(A),
inference(copy,[status(thm)],[c_3225]) ).
cnf(c_3226,plain,
addition(antidomain(A),multiplication(antidomain(A),B)) = multiplication(antidomain(A),addition(antidomain(A),B)),
inference(paramod,[status(thm)],[c_374,c_35]) ).
cnf(c_3227,plain,
multiplication(antidomain(A),addition(one,B)) = multiplication(antidomain(A),addition(antidomain(A),B)),
inference(paramod,[status(thm)],[c_71,c_3226]) ).
cnf(c_397,plain,
multiplication(antidomain(A),addition(antidomain(A),B)) = multiplication(antidomain(A),addition(one,B)),
inference(copy,[status(thm)],[c_3227]) ).
cnf(c_3228,plain,
multiplication(domain(zero),multiplication(domain(A),domain(antidomain(A)))) = multiplication(domain(A),domain(antidomain(A))),
inference(paramod,[status(thm)],[c_21,c_69]) ).
cnf(c_3229,plain,
multiplication(zero,multiplication(domain(A),domain(antidomain(A)))) = multiplication(domain(A),domain(antidomain(A))),
inference(paramod,[status(thm)],[c_25,c_3228]) ).
cnf(c_3230,plain,
zero = multiplication(domain(A),domain(antidomain(A))),
inference(paramod,[status(thm)],[c_30,c_3229]) ).
cnf(c_591,plain,
multiplication(domain(A),domain(antidomain(A))) = zero,
inference(copy,[status(thm)],[c_3230]) ).
cnf(c_3231,plain,
addition(zero,multiplication(A,domain(antidomain(B)))) = multiplication(addition(domain(B),A),domain(antidomain(B))),
inference(paramod,[status(thm)],[c_591,c_33]) ).
cnf(c_3232,plain,
multiplication(A,domain(antidomain(B))) = multiplication(addition(domain(B),A),domain(antidomain(B))),
inference(paramod,[status(thm)],[c_88,c_3231]) ).
cnf(c_604,plain,
multiplication(addition(domain(A),B),domain(antidomain(A))) = multiplication(B,domain(antidomain(A))),
inference(copy,[status(thm)],[c_3232]) ).
cnf(c_3233,plain,
multiplication(domain(one),antidomain(antidomain(A))) = multiplication(domain(domain(A)),antidomain(antidomain(A))),
inference(paramod,[status(thm)],[c_22,c_305]) ).
cnf(c_3234,plain,
multiplication(one,antidomain(antidomain(A))) = multiplication(domain(domain(A)),antidomain(antidomain(A))),
inference(paramod,[status(thm)],[c_70,c_3233]) ).
cnf(c_3235,plain,
antidomain(antidomain(A)) = multiplication(domain(domain(A)),antidomain(antidomain(A))),
inference(paramod,[status(thm)],[c_36,c_3234]) ).
cnf(c_3236,plain,
antidomain(antidomain(A)) = multiplication(domain(A),antidomain(antidomain(A))),
inference(paramod,[status(thm)],[c_65,c_3235]) ).
cnf(c_966,plain,
multiplication(domain(A),antidomain(antidomain(A))) = antidomain(antidomain(A)),
inference(copy,[status(thm)],[c_3236]) ).
cnf(c_3237,plain,
multiplication(antidomain(A),domain(antidomain(A))) = multiplication(antidomain(A),addition(one,domain(antidomain(A)))),
inference(paramod,[status(thm)],[c_287,c_397]) ).
cnf(c_3238,plain,
multiplication(antidomain(A),domain(antidomain(A))) = multiplication(antidomain(A),one),
inference(paramod,[status(thm)],[c_43,c_3237]) ).
cnf(c_2520,plain,
multiplication(antidomain(A),domain(antidomain(A))) = antidomain(A),
inference(paramod,[status(thm)],[c_37,c_3238]) ).
cnf(c_3239,plain,
multiplication(one,domain(antidomain(A))) = multiplication(antidomain(A),domain(antidomain(A))),
inference(paramod,[status(thm)],[c_22,c_604]) ).
cnf(c_3240,plain,
domain(antidomain(A)) = multiplication(antidomain(A),domain(antidomain(A))),
inference(paramod,[status(thm)],[c_36,c_3239]) ).
cnf(c_2797,plain,
domain(antidomain(A)) = antidomain(A),
inference(paramod,[status(thm)],[c_2520,c_3240]) ).
cnf(c_2879,plain,
addition(antidomain(A),antidomain(antidomain(A))) = one,
inference(paramod,[status(thm)],[c_2797,c_22]) ).
cnf(c_3241,plain,
multiplication(domain(A),one) = multiplication(domain(A),antidomain(antidomain(A))),
inference(paramod,[status(thm)],[c_2879,c_62]) ).
cnf(c_3242,plain,
domain(A) = multiplication(domain(A),antidomain(antidomain(A))),
inference(paramod,[status(thm)],[c_37,c_3241]) ).
cnf(c_3243,plain,
domain(A) = antidomain(antidomain(A)),
inference(paramod,[status(thm)],[c_966,c_3242]) ).
cnf(c_3193,plain,
antidomain(antidomain(A)) = domain(A),
inference(copy,[status(thm)],[c_3243]) ).
cnf(c_3194,plain,
$false,
inference(resolve,[status(thm)],[c_3193,c_20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KLE080+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n004.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Fri Sep 25 19:19:51 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.44 % Process 3866565 was started by sandbox2 on n004,
% 0.17/0.44 % Fri Sep 25 19:19:51 2026
% 0.17/0.44 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.17/0.45
% 0.17/0.45 % From the command line: assign(max_seconds, 300).
% 13.94/2.25
% 13.94/2.25 % SZS status Theorem for theBenchmark
% 13.94/2.25
% 13.94/2.25 % Proof 1 at 1.29 (+ 0.49) seconds.
% 13.94/2.25 % Length of proof is 68.
% 13.94/2.25 % Level of proof is 12.
% 13.94/2.25 % Maximum clause weight is 59.000.
% 13.94/2.25 % Given clauses 191.
% 13.94/2.25
% 13.94/2.25 % SZS output start CNFRefutation for theBenchmark
% See solution above
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