TSTP Solution File: SET795+4 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SET795+4 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n027.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 : Fri May 19 11:54:20 EDT 2023
% Result : Theorem 4.59s 2.33s
% Output : Refutation 4.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 45
% Syntax : Number of formulae : 69 ( 3 unt; 23 typ; 0 def)
% Number of atoms : 270 ( 18 equ; 0 cnn)
% Maximal formula atoms : 28 ( 5 avg)
% Number of connectives : 874 ( 7 ~; 9 |; 104 &; 643 @)
% ( 20 <=>; 91 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 51 ( 51 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 23 usr; 2 con; 0-4 aty)
% Number of variables : 179 ( 0 ^; 176 !; 3 ?; 179 :)
% Comments :
%------------------------------------------------------------------------------
thf(order_type,type,
order: $i > $i > $o ).
thf(member_type,type,
member: $i > $i > $o ).
thf(apply_type,type,
apply: $i > $i > $i > $o ).
thf(least_upper_bound_type,type,
least_upper_bound: $i > $i > $i > $i > $o ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(equal_set_type,type,
equal_set: $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(total_order_type,type,
total_order: $i > $i > $o ).
thf(least_type,type,
least: $i > $i > $i > $o ).
thf(min_type,type,
min: $i > $i > $i > $o ).
thf(power_set_type,type,
power_set: $i > $i ).
thf(upper_bound_type,type,
upper_bound: $i > $i > $i > $o ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(product_type,type,
product: $i > $i ).
thf(greatest_lower_bound_type,type,
greatest_lower_bound: $i > $i > $i > $i > $o ).
thf(lower_bound_type,type,
lower_bound: $i > $i > $i > $o ).
thf(greatest_type,type,
greatest: $i > $i > $i > $o ).
thf(empty_set_type,type,
empty_set: $i ).
thf(difference_type,type,
difference: $i > $i > $i ).
thf(intersection_type,type,
intersection: $i > $i > $i ).
thf(max_type,type,
max: $i > $i > $i > $o ).
thf(union_type,type,
union: $i > $i > $i ).
thf(sum_type,type,
sum: $i > $i ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( order @ A @ B )
& ( member @ C @ B )
& ( member @ D @ B )
& ( apply @ A @ C @ D ) )
=> ( least_upper_bound @ D @ ( unordered_pair @ C @ D ) @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIV7) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( order @ A @ B )
& ( member @ C @ B )
& ( member @ D @ B )
& ( apply @ A @ C @ D ) )
=> ( least_upper_bound @ D @ ( unordered_pair @ C @ D ) @ A @ B ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(24,plain,
~ ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( order @ A @ B )
& ( member @ C @ B )
& ( member @ D @ B )
& ( apply @ A @ C @ D ) )
=> ( least_upper_bound @ D @ ( unordered_pair @ C @ D ) @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(17,axiom,
! [A: $i] :
~ ( member @ A @ empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_set) ).
thf(216,plain,
! [A: $i] :
~ ( member @ A @ empty_set ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(21,axiom,
! [A: $i,B: $i,C: $i] :
( ( member @ A @ ( union @ B @ C ) )
<=> ( ( member @ A @ B )
| ( member @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).
thf(243,plain,
! [A: $i,B: $i,C: $i] :
( ( ( member @ A @ ( union @ B @ C ) )
=> ( ( member @ A @ B )
| ( member @ A @ C ) ) )
& ( ( ( member @ A @ B )
| ( member @ A @ C ) )
=> ( member @ A @ ( union @ B @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(15,axiom,
! [A: $i,B: $i,C: $i] :
( ( greatest @ C @ A @ B )
<=> ( ( member @ C @ B )
& ! [D: $i] :
( ( member @ D @ B )
=> ( apply @ A @ D @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greatest) ).
thf(201,plain,
! [A: $i,B: $i,C: $i] :
( ( ( greatest @ C @ A @ B )
=> ( ( member @ C @ B )
& ! [D: $i] :
( ( member @ D @ B )
=> ( apply @ A @ D @ C ) ) ) )
& ( ( ( member @ C @ B )
& ! [D: $i] :
( ( member @ D @ B )
=> ( apply @ A @ D @ C ) ) )
=> ( greatest @ C @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(23,axiom,
! [A: $i,B: $i] :
( ( member @ A @ ( sum @ B ) )
<=> ? [C: $i] :
( ( member @ C @ B )
& ( member @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum) ).
thf(260,plain,
! [A: $i,B: $i] :
( ( ( member @ A @ ( sum @ B ) )
=> ? [C: $i] :
( ( member @ C @ B )
& ( member @ A @ C ) ) )
& ( ? [C: $i] :
( ( member @ C @ B )
& ( member @ A @ C ) )
=> ( member @ A @ ( sum @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( member @ A @ ( product @ B ) )
<=> ! [C: $i] :
( ( member @ C @ B )
=> ( member @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product) ).
thf(169,plain,
! [A: $i,B: $i] :
( ( ( member @ A @ ( product @ B ) )
=> ! [C: $i] :
( ( member @ C @ B )
=> ( member @ A @ C ) ) )
& ( ! [C: $i] :
( ( member @ C @ B )
=> ( member @ A @ C ) )
=> ( member @ A @ ( product @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(19,axiom,
! [A: $i,B: $i,C: $i] :
( ( member @ A @ ( intersection @ B @ C ) )
<=> ( ( member @ A @ B )
& ( member @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection) ).
thf(225,plain,
! [A: $i,B: $i,C: $i] :
( ( ( member @ A @ ( intersection @ B @ C ) )
=> ( ( member @ A @ B )
& ( member @ A @ C ) ) )
& ( ( ( member @ A @ B )
& ( member @ A @ C ) )
=> ( member @ A @ ( intersection @ B @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(7,axiom,
! [A: $i,B: $i,C: $i] :
( ( min @ C @ A @ B )
<=> ( ( member @ C @ B )
& ! [D: $i] :
( ( ( member @ D @ B )
& ( apply @ A @ D @ C ) )
=> ( C = D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',min) ).
thf(134,plain,
! [A: $i,B: $i,C: $i] :
( ( ( min @ C @ A @ B )
=> ( ( member @ C @ B )
& ! [D: $i] :
( ( ( member @ D @ B )
& ( apply @ A @ D @ C ) )
=> ( C = D ) ) ) )
& ( ( ( member @ C @ B )
& ! [D: $i] :
( ( ( member @ D @ B )
& ( apply @ A @ D @ C ) )
=> ( C = D ) ) )
=> ( min @ C @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( greatest_lower_bound @ A @ B @ C @ D )
<=> ( ( member @ A @ B )
& ( lower_bound @ A @ C @ B )
& ! [E: $i] :
( ( ( member @ E @ D )
& ( lower_bound @ E @ C @ B ) )
=> ( apply @ C @ E @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greatest_lower_bound) ).
thf(176,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( greatest_lower_bound @ A @ B @ C @ D )
=> ( ( member @ A @ B )
& ( lower_bound @ A @ C @ B )
& ! [E: $i] :
( ( ( member @ E @ D )
& ( lower_bound @ E @ C @ B ) )
=> ( apply @ C @ E @ A ) ) ) )
& ( ( ( member @ A @ B )
& ( lower_bound @ A @ C @ B )
& ! [E: $i] :
( ( ( member @ E @ D )
& ( lower_bound @ E @ C @ B ) )
=> ( apply @ C @ E @ A ) ) )
=> ( greatest_lower_bound @ A @ B @ C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( total_order @ A @ B )
<=> ( ( order @ A @ B )
& ! [C: $i,D: $i] :
( ( ( member @ C @ B )
& ( member @ D @ B ) )
=> ( ( apply @ A @ C @ D )
| ( apply @ A @ D @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_order) ).
thf(114,plain,
! [A: $i,B: $i] :
( ( ( total_order @ A @ B )
=> ( ( order @ A @ B )
& ! [C: $i,D: $i] :
( ( ( member @ C @ B )
& ( member @ D @ B ) )
=> ( ( apply @ A @ C @ D )
| ( apply @ A @ D @ C ) ) ) ) )
& ( ( ( order @ A @ B )
& ! [C: $i,D: $i] :
( ( ( member @ C @ B )
& ( member @ D @ B ) )
=> ( ( apply @ A @ C @ D )
| ( apply @ A @ D @ C ) ) ) )
=> ( total_order @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i] :
( ( least @ C @ A @ B )
<=> ( ( member @ C @ B )
& ! [D: $i] :
( ( member @ D @ B )
=> ( apply @ A @ C @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',least) ).
thf(126,plain,
! [A: $i,B: $i,C: $i] :
( ( ( least @ C @ A @ B )
=> ( ( member @ C @ B )
& ! [D: $i] :
( ( member @ D @ B )
=> ( apply @ A @ C @ D ) ) ) )
& ( ( ( member @ C @ B )
& ! [D: $i] :
( ( member @ D @ B )
=> ( apply @ A @ C @ D ) ) )
=> ( least @ C @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(13,axiom,
! [A: $i,B: $i,C: $i] :
( ( upper_bound @ C @ A @ B )
<=> ! [D: $i] :
( ( member @ D @ B )
=> ( apply @ A @ D @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',upper_bound) ).
thf(187,plain,
! [A: $i,B: $i,C: $i] :
( ( ( upper_bound @ C @ A @ B )
=> ! [D: $i] :
( ( member @ D @ B )
=> ( apply @ A @ D @ C ) ) )
& ( ! [D: $i] :
( ( member @ D @ B )
=> ( apply @ A @ D @ C ) )
=> ( upper_bound @ C @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(18,axiom,
! [A: $i,B: $i,C: $i] :
( ( member @ A @ ( difference @ C @ B ) )
<=> ( ( member @ A @ C )
& ~ ( member @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference) ).
thf(219,plain,
! [A: $i,B: $i,C: $i] :
( ( ( member @ A @ ( difference @ C @ B ) )
=> ( ( member @ A @ C )
& ~ ( member @ A @ B ) ) )
& ( ( ( member @ A @ C )
& ~ ( member @ A @ B ) )
=> ( member @ A @ ( difference @ C @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( member @ A @ ( singleton @ B ) )
<=> ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton) ).
thf(162,plain,
! [A: $i,B: $i] :
( ( ( member @ A @ ( singleton @ B ) )
=> ( A = B ) )
& ( ( A = B )
=> ( member @ A @ ( singleton @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(16,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( member @ C @ A )
=> ( member @ C @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset) ).
thf(209,plain,
! [A: $i,B: $i] :
( ( ( subset @ A @ B )
=> ! [C: $i] :
( ( member @ C @ A )
=> ( member @ C @ B ) ) )
& ( ! [C: $i] :
( ( member @ C @ A )
=> ( member @ C @ B ) )
=> ( subset @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(14,axiom,
! [A: $i,B: $i,C: $i] :
( ( lower_bound @ C @ A @ B )
<=> ! [D: $i] :
( ( member @ D @ B )
=> ( apply @ A @ C @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lower_bound) ).
thf(194,plain,
! [A: $i,B: $i,C: $i] :
( ( ( lower_bound @ C @ A @ B )
=> ! [D: $i] :
( ( member @ D @ B )
=> ( apply @ A @ C @ D ) ) )
& ( ! [D: $i] :
( ( member @ D @ B )
=> ( apply @ A @ C @ D ) )
=> ( lower_bound @ C @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(22,axiom,
! [A: $i,B: $i,C: $i] :
( ( member @ A @ ( unordered_pair @ B @ C ) )
<=> ( ( A = B )
| ( A = C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair) ).
thf(250,plain,
! [A: $i,B: $i,C: $i] :
( ( ( member @ A @ ( unordered_pair @ B @ C ) )
=> ( ( A = B )
| ( A = C ) ) )
& ( ( ( A = B )
| ( A = C ) )
=> ( member @ A @ ( unordered_pair @ B @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(20,axiom,
! [A: $i,B: $i,C: $i] :
( ( max @ C @ A @ B )
<=> ( ( member @ C @ B )
& ! [D: $i] :
( ( ( member @ D @ B )
& ( apply @ A @ C @ D ) )
=> ( C = D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max) ).
thf(231,plain,
! [A: $i,B: $i,C: $i] :
( ( ( max @ C @ A @ B )
=> ( ( member @ C @ B )
& ! [D: $i] :
( ( ( member @ D @ B )
& ( apply @ A @ C @ D ) )
=> ( C = D ) ) ) )
& ( ( ( member @ C @ B )
& ! [D: $i] :
( ( ( member @ D @ B )
& ( apply @ A @ C @ D ) )
=> ( C = D ) ) )
=> ( max @ C @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( least_upper_bound @ A @ B @ C @ D )
<=> ( ( member @ A @ B )
& ( upper_bound @ A @ C @ B )
& ! [E: $i] :
( ( ( member @ E @ D )
& ( upper_bound @ E @ C @ B ) )
=> ( apply @ C @ A @ E ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',least_upper_bound) ).
thf(151,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( least_upper_bound @ A @ B @ C @ D )
=> ( ( member @ A @ B )
& ( upper_bound @ A @ C @ B )
& ! [E: $i] :
( ( ( member @ E @ D )
& ( upper_bound @ E @ C @ B ) )
=> ( apply @ C @ A @ E ) ) ) )
& ( ( ( member @ A @ B )
& ( upper_bound @ A @ C @ B )
& ! [E: $i] :
( ( ( member @ E @ D )
& ( upper_bound @ E @ C @ B ) )
=> ( apply @ C @ A @ E ) ) )
=> ( least_upper_bound @ A @ B @ C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( order @ A @ B )
<=> ( ! [C: $i] :
( ( member @ C @ B )
=> ( apply @ A @ C @ C ) )
& ! [C: $i,D: $i] :
( ( ( member @ C @ B )
& ( member @ D @ B ) )
=> ( ( ( apply @ A @ C @ D )
& ( apply @ A @ D @ C ) )
=> ( C = D ) ) )
& ! [C: $i,D: $i,E: $i] :
( ( ( member @ C @ B )
& ( member @ D @ B )
& ( member @ E @ B ) )
=> ( ( ( apply @ A @ C @ D )
& ( apply @ A @ D @ E ) )
=> ( apply @ A @ C @ E ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order) ).
thf(36,plain,
! [A: $i,B: $i] :
( ( ( order @ A @ B )
=> ( ! [C: $i] :
( ( member @ C @ B )
=> ( apply @ A @ C @ C ) )
& ! [C: $i,D: $i] :
( ( ( member @ C @ B )
& ( member @ D @ B ) )
=> ( ( ( apply @ A @ C @ D )
& ( apply @ A @ D @ C ) )
=> ( C = D ) ) )
& ! [C: $i,D: $i,E: $i] :
( ( ( member @ C @ B )
& ( member @ D @ B )
& ( member @ E @ B ) )
=> ( ( ( apply @ A @ C @ D )
& ( apply @ A @ D @ E ) )
=> ( apply @ A @ C @ E ) ) ) ) )
& ( ( ! [C: $i] :
( ( member @ C @ B )
=> ( apply @ A @ C @ C ) )
& ! [C: $i,D: $i] :
( ( ( member @ C @ B )
& ( member @ D @ B ) )
=> ( ( ( apply @ A @ C @ D )
& ( apply @ A @ D @ C ) )
=> ( C = D ) ) )
& ! [C: $i,D: $i,E: $i] :
( ( ( member @ C @ B )
& ( member @ D @ B )
& ( member @ E @ B ) )
=> ( ( ( apply @ A @ C @ D )
& ( apply @ A @ D @ E ) )
=> ( apply @ A @ C @ E ) ) ) )
=> ( order @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ( member @ A @ ( power_set @ B ) )
<=> ( subset @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',power_set) ).
thf(146,plain,
! [A: $i,B: $i] :
( ( ( member @ A @ ( power_set @ B ) )
=> ( subset @ A @ B ) )
& ( ( subset @ A @ B )
=> ( member @ A @ ( power_set @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( equal_set @ A @ B )
<=> ( ( subset @ A @ B )
& ( subset @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_set) ).
thf(30,plain,
! [A: $i,B: $i] :
( ( ( equal_set @ A @ B )
=> ( ( subset @ A @ B )
& ( subset @ B @ A ) ) )
& ( ( ( subset @ A @ B )
& ( subset @ B @ A ) )
=> ( equal_set @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(272,plain,
$false,
inference(cvc4,[status(thm)],[24,216,243,201,260,169,225,134,176,114,126,187,219,162,209,194,250,231,151,36,146,30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SET795+4 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.12 % Command : run_Leo-III %s %d
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 18 19:17:22 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.90/0.86 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.29/1.04 % [INFO] Parsing done (184ms).
% 1.29/1.05 % [INFO] Running in sequential loop mode.
% 1.72/1.27 % [INFO] eprover registered as external prover.
% 1.72/1.28 % [INFO] cvc4 registered as external prover.
% 1.72/1.28 % [INFO] Scanning for conjecture ...
% 1.87/1.35 % [INFO] Found a conjecture and 21 axioms. Running axiom selection ...
% 1.98/1.39 % [INFO] Axiom selection finished. Selected 21 axioms (removed 0 axioms).
% 1.98/1.44 % [INFO] Problem is first-order (TPTP FOF).
% 1.98/1.44 % [INFO] Type checking passed.
% 2.27/1.45 % [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 ...
% 4.59/2.33 % External prover 'cvc4' found a proof!
% 4.59/2.33 % [INFO] Killing All external provers ...
% 4.59/2.33 % Time passed: 1819ms (effective reasoning time: 1276ms)
% 4.59/2.33 % Solved by 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)>
% 4.59/2.33 % Axioms used in derivation (21): power_set, unordered_pair, union, intersection, empty_set, upper_bound, min, least, max, total_order, singleton, difference, product, least_upper_bound, greatest_lower_bound, greatest, subset, order, equal_set, lower_bound, sum
% 4.59/2.33 % No. of inferences in proof: 46
% 4.59/2.33 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1819 ms resp. 1276 ms w/o parsing
% 4.94/2.38 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.94/2.38 % [INFO] Killing All external provers ...
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