%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : MGT055+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 08:03:00 AM UTC 2026
% Result : Theorem 0.12s 0.46s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of formulae : 95 ( 28 unt; 0 def)
% Number of atoms : 258 ( 37 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 259 ( 96 ~; 92 |; 54 &)
% ( 6 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 131 ( 4 sgn 41 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(definition_smaller_or_equal,axiom,
! [X,Y] :
( smaller_or_equal(X,Y)
<=> ( X = Y
| smaller(X,Y) ) ),
file('theBenchmark.p',definition_smaller_or_equal) ).
fof(definition_smaller,axiom,
! [X,Y] :
( smaller(X,Y)
<=> greater(Y,X) ),
file('theBenchmark.p',definition_smaller) ).
fof(meaning_postulate_greater_strict,axiom,
! [X,Y] :
~ ( greater(Y,X)
& greater(X,Y) ),
file('theBenchmark.p',meaning_postulate_greater_strict) ).
fof(meaning_postulate_greater_transitive,axiom,
! [X,Y,Z] :
( ( greater(Y,Z)
& greater(X,Y) )
=> greater(X,Z) ),
file('theBenchmark.p',meaning_postulate_greater_transitive) ).
fof(definition_1,axiom,
! [X] :
( has_endowment(X)
<=> ! [T] :
( ( greater(age(X,T),eta)
=> ~ has_immunity(X,T) )
& ( smaller_or_equal(age(X,T),eta)
=> has_immunity(X,T) )
& organization(X) ) ),
file('theBenchmark.p',definition_1) ).
fof(assumption_2,axiom,
! [X,T0,T] :
( ( has_immunity(X,T)
& has_immunity(X,T0)
& organization(X) )
=> hazard_of_mortality(X,T0) = hazard_of_mortality(X,T) ),
file('theBenchmark.p',assumption_2) ).
fof(assumption_3,axiom,
! [X,T0,T] :
( ( ~ has_immunity(X,T)
& has_immunity(X,T0)
& organization(X) )
=> greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ),
file('theBenchmark.p',assumption_3) ).
fof(definition_2,axiom,
! [X,T0,T] :
( dissimilar(X,T0,T)
<=> ( ~ ( is_aligned(X,T0)
<=> is_aligned(X,T) )
& organization(X) ) ),
file('theBenchmark.p',definition_2) ).
fof(assumption_13,axiom,
! [X,T] :
( ( age(X,T) = zero
& organization(X) )
=> is_aligned(X,T) ),
file('theBenchmark.p',assumption_13) ).
fof(assumption_14,axiom,
! [X,T0,T] :
( ( ~ is_aligned(X,T)
& is_aligned(X,T0)
& organization(X) )
=> greater(capability(X,T0),capability(X,T)) ),
file('theBenchmark.p',assumption_14) ).
fof(assumption_15,axiom,
! [X,T0,T] :
( ( age(X,T0) = zero
& organization(X) )
=> ( greater(age(X,T),sigma)
<=> dissimilar(X,T0,T) ) ),
file('theBenchmark.p',assumption_15) ).
fof(assumption_16,axiom,
! [X,T0,T] :
( ( greater(capability(X,T),capability(X,T0))
& ~ has_immunity(X,T)
& ~ has_immunity(X,T0)
& organization(X) )
=> greater(hazard_of_mortality(X,T0),hazard_of_mortality(X,T)) ),
file('theBenchmark.p',assumption_16) ).
fof(lemma_8,conjecture,
! [X,T0,T1,T2,T3] :
( ( greater(eta,zero)
& greater(sigma,eta)
& greater(age(X,T3),sigma)
& smaller_or_equal(age(X,T2),sigma)
& greater(age(X,T2),eta)
& smaller_or_equal(age(X,T1),eta)
& age(X,T0) = zero
& has_endowment(X)
& organization(X) )
=> ( hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0)
& greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))
& greater(hazard_of_mortality(X,T3),hazard_of_mortality(X,T2)) ) ),
file('theBenchmark.p',lemma_8) ).
fof(lemma_8_neg,negated_conjecture,
~ ! [X,T0,T1,T2,T3] :
( ( greater(eta,zero)
& greater(sigma,eta)
& greater(age(X,T3),sigma)
& smaller_or_equal(age(X,T2),sigma)
& greater(age(X,T2),eta)
& smaller_or_equal(age(X,T1),eta)
& age(X,T0) = zero
& has_endowment(X)
& organization(X) )
=> ( hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0)
& greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))
& greater(hazard_of_mortality(X,T3),hazard_of_mortality(X,T2)) ) ),
inference(assume_negation,[status(cth)],[lemma_8]) ).
cnf(c_16,plain,
( ~ smaller(A,B)
| smaller_or_equal(A,B) ),
inference(clausify,[status(thm)],[definition_smaller_or_equal]) ).
cnf(c_17,plain,
( B = A
| smaller(A,B)
| ~ smaller_or_equal(A,B) ),
inference(clausify,[status(thm)],[definition_smaller_or_equal]) ).
cnf(c_18,plain,
( greater(B,A)
| ~ smaller(A,B) ),
inference(clausify,[status(thm)],[definition_smaller]) ).
cnf(c_19,plain,
( ~ greater(B,A)
| smaller(A,B) ),
inference(clausify,[status(thm)],[definition_smaller]) ).
cnf(c_25,plain,
( ~ has_immunity(A,B)
| ~ greater(age(A,B),eta)
| ~ has_endowment(A) ),
inference(clausify,[status(thm)],[definition_1]) ).
cnf(c_26,plain,
( has_immunity(A,B)
| ~ smaller_or_equal(age(A,B),eta)
| ~ has_endowment(A) ),
inference(clausify,[status(thm)],[definition_1]) ).
fof(nnf_15,plain,
? [X,T0,T1,T2,T3] :
( ( hazard_of_mortality(X,T1) != hazard_of_mortality(X,T0)
| ~ greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))
| ~ greater(hazard_of_mortality(X,T3),hazard_of_mortality(X,T2)) )
& greater(eta,zero)
& greater(sigma,eta)
& greater(age(X,T3),sigma)
& smaller_or_equal(age(X,T2),sigma)
& greater(age(X,T2),eta)
& smaller_or_equal(age(X,T1),eta)
& age(X,T0) = zero
& has_endowment(X)
& organization(X) ),
inference(fof_nnf,[status(thm)],[lemma_8_neg]) ).
fof(sk_lemma_8_neg,plain,
( ( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1)
| ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
| ~ greater(hazard_of_mortality(sK0,sK4),hazard_of_mortality(sK0,sK3)) )
& greater(eta,zero)
& greater(sigma,eta)
& greater(age(sK0,sK4),sigma)
& smaller_or_equal(age(sK0,sK3),sigma)
& greater(age(sK0,sK3),eta)
& smaller_or_equal(age(sK0,sK2),eta)
& age(sK0,sK1) = zero
& has_endowment(sK0)
& organization(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X,sK0),skolemize(T0,sK1),skolemize(T1,sK2),skolemize(T2,sK3),skolemize(T3,sK4)],[nnf_15]) ).
cnf(c_30,negated_conjecture,
has_endowment(sK0),
inference(split_conjunct,[status(thm)],[sk_lemma_8_neg]) ).
cnf(c_38,negated_conjecture,
organization(sK0),
inference(split_conjunct,[status(thm)],[sk_lemma_8_neg]) ).
cnf(c_39,plain,
( greater(hazard_of_mortality(A,B),hazard_of_mortality(A,C))
| ~ greater(capability(A,C),capability(A,B))
| has_immunity(A,C)
| has_immunity(A,B)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_16]) ).
cnf(c_40,plain,
( ~ dissimilar(A,B,C)
| greater(age(A,C),sigma)
| age(A,B) != zero
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_15]) ).
cnf(c_41,plain,
( dissimilar(A,B,C)
| ~ greater(age(A,C),sigma)
| age(A,B) != zero
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_15]) ).
cnf(c_42,plain,
( greater(capability(A,B),capability(A,C))
| is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_14]) ).
cnf(c_43,plain,
( is_aligned(A,B)
| age(A,B) != zero
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_13]) ).
cnf(c_45,plain,
( is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ organization(A)
| dissimilar(A,B,C) ),
inference(clausify,[status(thm)],[definition_2]) ).
cnf(c_46,plain,
( organization(A)
| ~ dissimilar(A,B,C) ),
inference(clausify,[status(thm)],[definition_2]) ).
cnf(c_47,plain,
( greater(hazard_of_mortality(A,C),hazard_of_mortality(A,B))
| has_immunity(A,C)
| ~ has_immunity(A,B)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_3]) ).
cnf(c_48,plain,
( hazard_of_mortality(A,B) = hazard_of_mortality(A,C)
| ~ has_immunity(A,C)
| ~ has_immunity(A,B)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_2]) ).
cnf(c_49,negated_conjecture,
( hazard_of_mortality(sK0,A) = hazard_of_mortality(sK0,B)
| ~ has_immunity(sK0,B)
| ~ has_immunity(sK0,A) ),
inference(resolve,[status(thm)],[c_48,c_38]) ).
cnf(c_51,negated_conjecture,
( greater(hazard_of_mortality(sK0,B),hazard_of_mortality(sK0,A))
| has_immunity(sK0,B)
| ~ has_immunity(sK0,A) ),
inference(resolve,[status(thm)],[c_47,c_38]) ).
cnf(c_60,plain,
( ~ dissimilar(A,D,E)
| greater(age(A,E),sigma)
| age(A,D) != zero
| ~ dissimilar(A,B,C) ),
inference(resolve,[status(thm)],[c_46,c_40]) ).
cnf(c_66,negated_conjecture,
( is_aligned(sK0,B)
| ~ is_aligned(sK0,A)
| dissimilar(sK0,A,B) ),
inference(resolve,[status(thm)],[c_45,c_38]) ).
cnf(c_68,negated_conjecture,
( is_aligned(sK0,A)
| age(sK0,A) != zero ),
inference(resolve,[status(thm)],[c_43,c_38]) ).
cnf(c_69,negated_conjecture,
( greater(capability(sK0,A),capability(sK0,B))
| is_aligned(sK0,B)
| ~ is_aligned(sK0,A) ),
inference(resolve,[status(thm)],[c_42,c_38]) ).
cnf(c_70,negated_conjecture,
( dissimilar(sK0,A,B)
| ~ greater(age(sK0,B),sigma)
| age(sK0,A) != zero ),
inference(resolve,[status(thm)],[c_41,c_38]) ).
cnf(c_72,negated_conjecture,
( greater(hazard_of_mortality(sK0,A),hazard_of_mortality(sK0,B))
| ~ greater(capability(sK0,B),capability(sK0,A))
| has_immunity(sK0,B)
| has_immunity(sK0,A) ),
inference(resolve,[status(thm)],[c_39,c_38]) ).
cnf(c_80,plain,
( ~ greater(B,A)
| ~ greater(A,B) ),
inference(clausify,[status(thm)],[meaning_postulate_greater_strict]) ).
cnf(c_81,plain,
( greater(A,C)
| ~ greater(B,C)
| ~ greater(A,B) ),
inference(clausify,[status(thm)],[meaning_postulate_greater_transitive]) ).
cnf(c_83,plain,
( ~ is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ dissimilar(A,B,C) ),
inference(clausify,[status(thm)],[definition_2]) ).
cnf(c_84,negated_conjecture,
age(sK0,sK1) = zero,
inference(split_conjunct,[status(thm)],[sk_lemma_8_neg]) ).
cnf(c_85,negated_conjecture,
smaller_or_equal(age(sK0,sK2),eta),
inference(split_conjunct,[status(thm)],[sk_lemma_8_neg]) ).
cnf(c_86,negated_conjecture,
greater(age(sK0,sK3),eta),
inference(split_conjunct,[status(thm)],[sk_lemma_8_neg]) ).
cnf(c_87,negated_conjecture,
smaller_or_equal(age(sK0,sK3),sigma),
inference(split_conjunct,[status(thm)],[sk_lemma_8_neg]) ).
cnf(c_88,negated_conjecture,
greater(age(sK0,sK4),sigma),
inference(split_conjunct,[status(thm)],[sk_lemma_8_neg]) ).
cnf(c_89,negated_conjecture,
greater(sigma,eta),
inference(split_conjunct,[status(thm)],[sk_lemma_8_neg]) ).
cnf(c_90,negated_conjecture,
greater(eta,zero),
inference(split_conjunct,[status(thm)],[sk_lemma_8_neg]) ).
cnf(c_91,negated_conjecture,
( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1)
| ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
| ~ greater(hazard_of_mortality(sK0,sK4),hazard_of_mortality(sK0,sK3)) ),
inference(split_conjunct,[status(thm)],[sk_lemma_8_neg]) ).
cnf(c_92,plain,
( A = B
| ~ smaller_or_equal(B,A)
| greater(A,B) ),
inference(resolve,[status(thm)],[c_18,c_17]) ).
cnf(c_93,plain,
( smaller_or_equal(B,A)
| ~ greater(A,B) ),
inference(resolve,[status(thm)],[c_19,c_16]) ).
cnf(c_96,negated_conjecture,
( ~ has_immunity(sK0,A)
| ~ greater(age(sK0,A),eta) ),
inference(resolve,[status(thm)],[c_30,c_25]) ).
cnf(c_97,negated_conjecture,
( has_immunity(sK0,A)
| ~ smaller_or_equal(age(sK0,A),eta) ),
inference(resolve,[status(thm)],[c_30,c_26]) ).
cnf(c_99,plain,
( greater(age(A,C),sigma)
| age(A,B) != zero
| ~ dissimilar(A,B,C) ),
inference(factor,[status(thm)],[c_60]) ).
cnf(c_101,plain,
~ greater(A,A),
inference(factor,[status(thm)],[c_80]) ).
cnf(c_105,plain,
is_aligned(sK0,sK1),
inference(resolve,[status(thm)],[c_84,c_68]) ).
cnf(c_113,plain,
( dissimilar(sK0,A,sK4)
| age(sK0,A) != zero ),
inference(resolve,[status(thm)],[c_88,c_70]) ).
cnf(c_114,plain,
( greater(A,eta)
| ~ greater(A,sigma) ),
inference(resolve,[status(thm)],[c_89,c_81]) ).
cnf(c_414,negated_conjecture,
( sigma = age(sK0,sK3)
| greater(sigma,age(sK0,sK3)) ),
inference(resolve,[status(thm)],[c_92,c_87]) ).
cnf(c_120,negated_conjecture,
( age(sK0,sK3) = sigma
| greater(sigma,age(sK0,sK3)) ),
inference(copy,[status(thm)],[c_414]) ).
cnf(c_122,plain,
smaller_or_equal(zero,eta),
inference(resolve,[status(thm)],[c_93,c_90]) ).
cnf(c_135,negated_conjecture,
~ has_immunity(sK0,sK3),
inference(resolve,[status(thm)],[c_96,c_86]) ).
cnf(c_137,plain,
has_immunity(sK0,sK2),
inference(resolve,[status(thm)],[c_97,c_85]) ).
cnf(c_415,plain,
( has_immunity(sK0,sK1)
| ~ smaller_or_equal(zero,eta) ),
inference(paramod,[status(thm)],[c_84,c_97]) ).
cnf(c_138,plain,
has_immunity(sK0,sK1),
inference(resolve,[status(thm)],[c_122,c_415]) ).
cnf(c_147,plain,
( is_aligned(sK0,A)
| dissimilar(sK0,sK1,A) ),
inference(resolve,[status(thm)],[c_105,c_66]) ).
cnf(c_150,plain,
( greater(hazard_of_mortality(sK0,A),hazard_of_mortality(sK0,sK2))
| has_immunity(sK0,A) ),
inference(resolve,[status(thm)],[c_137,c_51]) ).
cnf(c_416,negated_conjecture,
( hazard_of_mortality(sK0,A) = hazard_of_mortality(sK0,sK2)
| ~ has_immunity(sK0,A) ),
inference(resolve,[status(thm)],[c_137,c_49]) ).
cnf(c_151,negated_conjecture,
( hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,A)
| ~ has_immunity(sK0,A) ),
inference(copy,[status(thm)],[c_416]) ).
cnf(c_157,plain,
greater(age(sK0,sK4),eta),
inference(resolve,[status(thm)],[c_114,c_88]) ).
cnf(c_167,negated_conjecture,
~ has_immunity(sK0,sK4),
inference(resolve,[status(thm)],[c_96,c_157]) ).
cnf(c_192,plain,
dissimilar(sK0,sK1,sK4),
inference(resolve,[status(thm)],[c_113,c_84]) ).
cnf(c_417,plain,
( ~ is_aligned(sK0,sK4)
| ~ is_aligned(sK0,sK1) ),
inference(resolve,[status(thm)],[c_192,c_83]) ).
cnf(c_193,plain,
~ is_aligned(sK0,sK4),
inference(resolve,[status(thm)],[c_105,c_417]) ).
cnf(c_418,plain,
( greater(age(sK0,A),sigma)
| age(sK0,sK1) != zero
| is_aligned(sK0,A) ),
inference(resolve,[status(thm)],[c_147,c_99]) ).
cnf(c_419,plain,
( greater(age(sK0,A),sigma)
| zero != zero
| is_aligned(sK0,A) ),
inference(paramod,[status(thm)],[c_84,c_418]) ).
cnf(c_196,plain,
( greater(age(sK0,A),sigma)
| is_aligned(sK0,A) ),
inference(copy,[status(thm)],[c_419]) ).
cnf(c_200,plain,
( ~ greater(age(sK0,sK3),sigma)
| age(sK0,sK3) = sigma ),
inference(resolve,[status(thm)],[c_120,c_80]) ).
cnf(c_339,plain,
greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)),
inference(resolve,[status(thm)],[c_150,c_135]) ).
cnf(c_345,negated_conjecture,
( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1)
| ~ greater(hazard_of_mortality(sK0,sK4),hazard_of_mortality(sK0,sK3)) ),
inference(resolve,[status(thm)],[c_339,c_91]) ).
cnf(c_366,plain,
hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,sK1),
inference(resolve,[status(thm)],[c_151,c_138]) ).
cnf(c_420,negated_conjecture,
( hazard_of_mortality(sK0,sK1) != hazard_of_mortality(sK0,sK1)
| ~ greater(hazard_of_mortality(sK0,sK4),hazard_of_mortality(sK0,sK3)) ),
inference(paramod,[status(thm)],[c_366,c_345]) ).
cnf(c_380,negated_conjecture,
~ greater(hazard_of_mortality(sK0,sK4),hazard_of_mortality(sK0,sK3)),
inference(copy,[status(thm)],[c_420]) ).
cnf(c_421,negated_conjecture,
( greater(hazard_of_mortality(sK0,sK4),hazard_of_mortality(sK0,A))
| ~ greater(capability(sK0,A),capability(sK0,sK4))
| has_immunity(sK0,A) ),
inference(resolve,[status(thm)],[c_72,c_167]) ).
cnf(c_422,negated_conjecture,
( greater(hazard_of_mortality(sK0,sK4),hazard_of_mortality(sK0,sK3))
| ~ greater(capability(sK0,sK3),capability(sK0,sK4)) ),
inference(resolve,[status(thm)],[c_421,c_135]) ).
cnf(c_398,negated_conjecture,
~ greater(capability(sK0,sK3),capability(sK0,sK4)),
inference(resolve,[status(thm)],[c_422,c_380]) ).
cnf(c_423,negated_conjecture,
( greater(capability(sK0,A),capability(sK0,sK4))
| ~ is_aligned(sK0,A) ),
inference(resolve,[status(thm)],[c_69,c_193]) ).
cnf(c_401,negated_conjecture,
~ is_aligned(sK0,sK3),
inference(resolve,[status(thm)],[c_423,c_398]) ).
cnf(c_405,plain,
greater(age(sK0,sK3),sigma),
inference(resolve,[status(thm)],[c_401,c_196]) ).
cnf(c_411,plain,
age(sK0,sK3) = sigma,
inference(resolve,[status(thm)],[c_405,c_200]) ).
cnf(c_424,plain,
greater(sigma,sigma),
inference(paramod,[status(thm)],[c_411,c_405]) ).
cnf(c_413,plain,
$false,
inference(resolve,[status(thm)],[c_101,c_424]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT055+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n026.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 00:12:55 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.36 % Process 3796836 was started by sandbox2 on n026,
% 0.09/0.36 % Sat Sep 26 00:12:55 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.12/0.37
% 0.12/0.37 % From the command line: assign(max_seconds, 300).
% 0.12/0.46
% 0.12/0.46 % SZS status Theorem for theBenchmark
% 0.12/0.46
% 0.12/0.46 % Proof 1 at 0.05 (+ 0.02) seconds.
% 0.12/0.46 % Length of proof is 81.
% 0.12/0.46 % Level of proof is 12.
% 0.12/0.46 % Maximum clause weight is 21.000.
% 0.12/0.46 % Given clauses 165.
% 0.12/0.46
% 0.12/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------