%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ027-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n007.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 08:21:08 AM UTC 2026
% Result : Unsatisfiable 7.14s 3.81s
% Output : Refutation 7.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 32
% Syntax : Number of formulae : 65 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 177 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 596 ( 106 ~; 112 |; 0 &; 378 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 19 usr; 12 con; 0-2 aty)
% Number of variables : 72 ( 0 ^; 72 !; 0 ?; 72 :)
% Comments :
%------------------------------------------------------------------------------
thf(answer_decl,type,
answer: $i > $o ).
thf(a_truth_decl,type,
a_truth: $i > $o ).
thf(not_lower_decl,type,
not_lower: $i > $i > $i ).
thf(lower_decl,type,
lower: $i > $i > $i ).
thf(says_decl,type,
says: $i > $i > $i ).
thf(truthteller_decl,type,
truthteller: $i > $i ).
thf(normal_decl,type,
normal: $i > $i ).
thf(liar_decl,type,
liar: $i > $i ).
thf(a_decl,type,
a: $i ).
thf(b_decl,type,
b: $i ).
thf(a_and_b_liar_decl,type,
a_and_b_liar: $i ).
thf(a_and_b_normal_decl,type,
a_and_b_normal: $i ).
thf(a_normal_b_liar_decl,type,
a_normal_b_liar: $i ).
thf(a_truthteller_b_liar_decl,type,
a_truthteller_b_liar: $i ).
thf(a_liar_b_truthteller_decl,type,
a_liar_b_truthteller: $i ).
thf(a_normal_b_truthteller_decl,type,
a_normal_b_truthteller: $i ).
thf(a_truthteller_b_normal_decl,type,
a_truthteller_b_normal: $i ).
thf(a_liar_b_normal_decl,type,
a_liar_b_normal: $i ).
thf(a_and_b_truthteller_decl,type,
a_and_b_truthteller: $i ).
thf(30,axiom,
( ( a_truthteller_b_normal @ answer )
| ~ ( b @ normal @ a_truth )
| ~ ( a @ truthteller @ a_truth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_truthteller_b_normal) ).
thf(88,plain,
( ( a_truthteller_b_normal @ answer )
| ~ ( b @ normal @ a_truth )
| ~ ( a @ truthteller @ a_truth ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(13,axiom,
b @ ( a @ lower ) @ ( a @ says ) @ a_truth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_says_a_lower_than_b) ).
thf(56,plain,
b @ ( a @ lower ) @ ( a @ says ) @ a_truth,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(3,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ lower ) @ a_truth )
| ( B @ ( A @ not_lower ) @ a_truth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_lower_or_lower) ).
thf(37,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ lower ) @ a_truth )
| ( B @ ( A @ not_lower ) @ a_truth ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(28,axiom,
( ( a_liar_b_truthteller @ answer )
| ~ ( b @ truthteller @ a_truth )
| ~ ( a @ liar @ a_truth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_liar_b_truthteller) ).
thf(84,plain,
( ( a_liar_b_truthteller @ answer )
| ~ ( b @ truthteller @ a_truth )
| ~ ( a @ liar @ a_truth ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(11,axiom,
! [A: $i] : ( A @ ( A @ not_lower ) @ a_truth ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_lower_is_irreflexive) ).
thf(53,plain,
! [A: $i] : ( A @ ( A @ not_lower ) @ a_truth ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(5,axiom,
! [A: $i] :
( ~ ( A @ normal @ a_truth )
| ~ ( A @ truthteller @ a_truth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_truthteller_and_normal) ).
thf(41,plain,
! [A: $i] :
( ~ ( A @ normal @ a_truth )
| ~ ( A @ truthteller @ a_truth ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(7,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ lower ) @ a_truth )
| ( B @ normal @ a_truth )
| ~ ( A @ normal @ a_truth )
| ~ ( B @ ( A @ not_lower ) @ a_truth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_lower_than_normal) ).
thf(45,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ lower ) @ a_truth )
| ( B @ normal @ a_truth )
| ~ ( A @ normal @ a_truth )
| ~ ( B @ ( A @ not_lower ) @ a_truth ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(15,axiom,
! [B: $i,A: $i] :
( ( B @ a_truth )
| ~ ( B @ ( A @ says ) @ a_truth )
| ~ ( A @ truthteller @ a_truth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',truthtellers_tell_truth) ).
thf(59,plain,
! [B: $i,A: $i] :
( ( B @ a_truth )
| ~ ( B @ ( A @ says ) @ a_truth )
| ~ ( A @ truthteller @ a_truth ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(19,axiom,
! [A: $i] :
( ~ ( A @ normal @ a_truth )
| ~ ( A @ liar @ a_truth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_liar_and_normal) ).
thf(66,plain,
! [A: $i] :
( ~ ( A @ normal @ a_truth )
| ~ ( A @ liar @ a_truth ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(17,axiom,
! [A: $i] :
( ( A @ normal @ a_truth )
| ( A @ liar @ a_truth )
| ( A @ truthteller @ a_truth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',person_is_one_type) ).
thf(63,plain,
! [A: $i] :
( ( A @ normal @ a_truth )
| ( A @ liar @ a_truth )
| ( A @ truthteller @ a_truth ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(27,axiom,
( ( a_truthteller_b_liar @ answer )
| ~ ( b @ liar @ a_truth )
| ~ ( a @ truthteller @ a_truth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_truthteller_b_liar) ).
thf(82,plain,
( ( a_truthteller_b_liar @ answer )
| ~ ( b @ liar @ a_truth )
| ~ ( a @ truthteller @ a_truth ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(10,axiom,
! [B: $i,A: $i] :
( ( A @ liar @ a_truth )
| ~ ( B @ normal @ a_truth )
| ~ ( B @ ( A @ lower ) @ a_truth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',liars_lower_than_normal) ).
thf(51,plain,
! [B: $i,A: $i] :
( ( A @ liar @ a_truth )
| ~ ( B @ normal @ a_truth )
| ~ ( B @ ( A @ lower ) @ a_truth ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(31,axiom,
( ( a_liar_b_normal @ answer )
| ~ ( b @ normal @ a_truth )
| ~ ( a @ liar @ a_truth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_liar_b_normal) ).
thf(90,plain,
( ( a_liar_b_normal @ answer )
| ~ ( b @ normal @ a_truth )
| ~ ( a @ liar @ a_truth ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(14,axiom,
! [A: $i] :
( ~ ( A @ liar @ a_truth )
| ~ ( A @ truthteller @ a_truth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_truthteller_and_liar) ).
thf(57,plain,
! [A: $i] :
( ~ ( A @ liar @ a_truth )
| ~ ( A @ truthteller @ a_truth ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(25,axiom,
( ( a_and_b_normal @ answer )
| ~ ( b @ normal @ a_truth )
| ~ ( a @ normal @ a_truth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_and_b_normal) ).
thf(78,plain,
( ( a_and_b_normal @ answer )
| ~ ( b @ normal @ a_truth )
| ~ ( a @ normal @ a_truth ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(16,axiom,
! [B: $i,A: $i] :
( ( A @ liar @ a_truth )
| ( A @ normal @ a_truth )
| ~ ( B @ truthteller @ a_truth )
| ~ ( B @ ( A @ lower ) @ a_truth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',normal_and_liars_lower_than_truthtellers) ).
thf(61,plain,
! [B: $i,A: $i] :
( ( A @ liar @ a_truth )
| ( A @ normal @ a_truth )
| ~ ( B @ truthteller @ a_truth )
| ~ ( B @ ( A @ lower ) @ a_truth ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(23,axiom,
! [B: $i,A: $i] :
( ( B @ normal @ a_truth )
| ( B @ liar @ a_truth )
| ~ ( A @ ( B @ says ) @ a_truth )
| ( A @ a_truth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',liars_and_normal_lie) ).
thf(74,plain,
! [B: $i,A: $i] :
( ( B @ normal @ a_truth )
| ( B @ liar @ a_truth )
| ~ ( A @ ( B @ says ) @ a_truth )
| ( A @ a_truth ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(21,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ lower ) @ a_truth )
| ( B @ liar @ a_truth )
| ~ ( A @ liar @ a_truth )
| ~ ( B @ ( A @ not_lower ) @ a_truth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_lower_than_liar) ).
thf(70,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ lower ) @ a_truth )
| ( B @ liar @ a_truth )
| ~ ( A @ liar @ a_truth )
| ~ ( B @ ( A @ not_lower ) @ a_truth ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(1,negated_conjecture,
! [A: $i] :
~ ( A @ answer ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_an_answer) ).
thf(33,plain,
! [A: $i] :
~ ( A @ answer ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(32,axiom,
( ( a_and_b_truthteller @ answer )
| ~ ( b @ truthteller @ a_truth )
| ~ ( a @ truthteller @ a_truth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_and_b_truthteller) ).
thf(92,plain,
( ( a_and_b_truthteller @ answer )
| ~ ( b @ truthteller @ a_truth )
| ~ ( a @ truthteller @ a_truth ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(18,axiom,
b @ ( a @ not_lower ) @ ( b @ says ) @ a_truth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_says_a_not_lower_than_b) ).
thf(65,plain,
b @ ( a @ not_lower ) @ ( b @ says ) @ a_truth,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(12,axiom,
! [B: $i,A: $i] :
( ~ ( B @ liar @ a_truth )
| ~ ( B @ ( A @ lower ) @ a_truth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_one_lower_than_liars) ).
thf(54,plain,
! [B: $i,A: $i] :
( ~ ( B @ liar @ a_truth )
| ~ ( B @ ( A @ lower ) @ a_truth ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(9,axiom,
! [B: $i,A: $i] :
( ~ ( A @ truthteller @ a_truth )
| ~ ( B @ ( A @ lower ) @ a_truth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',truthtellers_lower_than_no_one) ).
thf(49,plain,
! [B: $i,A: $i] :
( ~ ( A @ truthteller @ a_truth )
| ~ ( B @ ( A @ lower ) @ a_truth ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(29,axiom,
( ( a_normal_b_truthteller @ answer )
| ~ ( b @ truthteller @ a_truth )
| ~ ( a @ normal @ a_truth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_normal_b_truthteller) ).
thf(86,plain,
( ( a_normal_b_truthteller @ answer )
| ~ ( b @ truthteller @ a_truth )
| ~ ( a @ normal @ a_truth ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(24,axiom,
( ( a_and_b_liar @ answer )
| ~ ( b @ liar @ a_truth )
| ~ ( a @ liar @ a_truth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_and_b_liar) ).
thf(76,plain,
( ( a_and_b_liar @ answer )
| ~ ( b @ liar @ a_truth )
| ~ ( a @ liar @ a_truth ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ( B @ normal @ a_truth )
| ( B @ truthteller @ a_truth )
| ~ ( A @ ( B @ says ) @ a_truth )
| ~ ( A @ a_truth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',truthtellers_and_normal_tell_truth) ).
thf(39,plain,
! [B: $i,A: $i] :
( ( B @ normal @ a_truth )
| ( B @ truthteller @ a_truth )
| ~ ( A @ ( B @ says ) @ a_truth )
| ~ ( A @ a_truth ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(26,axiom,
( ( a_normal_b_liar @ answer )
| ~ ( b @ liar @ a_truth )
| ~ ( a @ normal @ a_truth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_normal_b_liar) ).
thf(80,plain,
( ( a_normal_b_liar @ answer )
| ~ ( b @ liar @ a_truth )
| ~ ( a @ normal @ a_truth ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(2,axiom,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ lower ) @ a_truth )
| ~ ( B @ ( A @ not_lower ) @ a_truth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_not_lower_and_lower) ).
thf(35,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ lower ) @ a_truth )
| ~ ( B @ ( A @ not_lower ) @ a_truth ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(22,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ lower ) @ a_truth )
| ( B @ truthteller @ a_truth )
| ~ ( A @ truthteller @ a_truth )
| ~ ( B @ ( A @ not_lower ) @ a_truth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_lower_than_truthteller) ).
thf(72,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ lower ) @ a_truth )
| ( B @ truthteller @ a_truth )
| ~ ( A @ truthteller @ a_truth )
| ~ ( B @ ( A @ not_lower ) @ a_truth ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(6,axiom,
! [B: $i,A: $i] :
( ~ ( B @ a_truth )
| ~ ( B @ ( A @ says ) @ a_truth )
| ~ ( A @ liar @ a_truth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',liars_lie) ).
thf(43,plain,
! [B: $i,A: $i] :
( ~ ( B @ a_truth )
| ~ ( B @ ( A @ says ) @ a_truth )
| ~ ( A @ liar @ a_truth ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(8,axiom,
! [B: $i,A: $i] :
( ( B @ truthteller @ a_truth )
| ~ ( A @ normal @ a_truth )
| ~ ( B @ ( A @ lower ) @ a_truth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',truthtellers_highest) ).
thf(47,plain,
! [B: $i,A: $i] :
( ( B @ truthteller @ a_truth )
| ~ ( A @ normal @ a_truth )
| ~ ( B @ ( A @ lower ) @ a_truth ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(20,axiom,
! [B: $i,A: $i] :
( ( B @ truthteller @ a_truth )
| ( B @ normal @ a_truth )
| ~ ( A @ liar @ a_truth )
| ~ ( B @ ( A @ lower ) @ a_truth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',liars_lowest) ).
thf(68,plain,
! [B: $i,A: $i] :
( ( B @ truthteller @ a_truth )
| ( B @ normal @ a_truth )
| ~ ( A @ liar @ a_truth )
| ~ ( B @ ( A @ lower ) @ a_truth ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(94,plain,
$false,
inference(e,[status(thm)],[88,56,37,84,53,41,45,59,66,63,82,51,90,57,78,61,74,70,33,92,65,54,49,86,76,39,80,35,72,43,47,68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : PUZ027-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.13 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.25/0.52 % Computer : n007.cluster.edu
% 0.25/0.52 % Model : x86_64 x86_64
% 0.25/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.25/0.52 % Memory : 8046.5625MB
% 0.25/0.52 % OS : Linux 6.8.0-71-generic
% 0.25/0.52 % CPULimit : 300
% 0.25/0.52 % WCLimit : 300
% 0.25/0.52 % DateTime : Sat Sep 26 05:02:54 UTC 2026
% 0.25/0.52 % CPUTime :
% 0.25/0.52 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 1.55/1.41 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.14/1.74 % [INFO] Parsing done (324ms).
% 2.14/1.76 % [INFO] Running in sequential loop mode.
% 3.25/2.38 % [INFO] eprover registered as external prover.
% 3.25/2.40 % [INFO] Scanning for conjecture ...
% 3.69/2.54 % [INFO] Found a conjecture (or negated_conjecture) and 31 axioms. Running axiom selection ...
% 3.88/2.65 % [INFO] Axiom selection finished. Selected 31 axioms (removed 0 axioms).
% 4.13/2.73 % [INFO] Problem is propositional (TPTP CNF).
% 4.13/2.74 % [INFO] Type checking passed.
% 4.13/2.75 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 7.14/3.80 % External prover 'e' found a proof!
% 7.14/3.80 % [INFO] Killing All external provers ...
% 7.14/3.80 % Time passed: 3058ms (effective reasoning time: 2030ms)
% 7.14/3.80 % Axioms used in derivation (31): liars_lowest, a_truthteller_b_normal, a_says_a_lower_than_b, a_normal_b_truthteller, liars_lie, liars_lower_than_normal, normal_and_liars_lower_than_truthtellers, not_lower_or_lower, not_truthteller_and_normal, a_normal_b_liar, truthtellers_lower_than_no_one, not_lower_than_liar, not_liar_and_normal, a_liar_b_normal, a_truthteller_b_liar, a_and_b_truthteller, liars_and_normal_lie, a_and_b_liar, not_lower_is_irreflexive, not_lower_than_truthteller, person_is_one_type, a_liar_b_truthteller, truthtellers_and_normal_tell_truth, not_truthteller_and_liar, b_says_a_not_lower_than_b, truthtellers_tell_truth, truthtellers_highest, no_one_lower_than_liars, a_and_b_normal, not_lower_than_normal, not_not_lower_and_lower
% 7.14/3.80 % No. of inferences in proof: 65
% 7.14/3.81 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3058 ms resp. 2030 ms w/o parsing
% 7.40/3.92 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.40/3.92 % [INFO] Killing All external provers ...
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