TSTP Solution File: SEU208+1 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SEU208+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n017.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 11:57:33 EDT 2023
% Result : Theorem 58.02s 9.63s
% Output : Refutation 58.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 44
% Syntax : Number of formulae : 117 ( 47 unt; 20 typ; 0 def)
% Number of atoms : 221 ( 43 equ; 0 cnn)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 545 ( 67 ~; 29 |; 38 &; 370 @)
% ( 6 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 20 usr; 11 con; 0-2 aty)
% Number of variables : 132 ( 0 ^; 101 !; 31 ?; 132 :)
% Comments :
%------------------------------------------------------------------------------
thf(relation_type,type,
relation: $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(relation_inverse_image_type,type,
relation_inverse_image: $i > $i > $i ).
thf(relation_rng_type,type,
relation_rng: $i > $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(sk3_type,type,
sk3: $i ).
thf(sk4_type,type,
sk4: $o ).
thf(sk5_type,type,
sk5: $i ).
thf(sk6_type,type,
sk6: $i ).
thf(sk7_type,type,
sk7: $i ).
thf(sk8_type,type,
sk8: $i > $i ).
thf(sk9_type,type,
sk9: $i ).
thf(sk15_type,type,
sk15: $i ).
thf(7,axiom,
empty @ empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
thf(46,plain,
empty @ empty_set,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(5,axiom,
? [A: $i] :
~ ( empty @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
thf(40,plain,
? [A: $i] :
~ ( empty @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(41,plain,
~ ! [A: $i] : ( empty @ A ),
inference(miniscope,[status(thm)],[40]) ).
thf(42,plain,
~ ( empty @ sk7 ),
inference(cnf,[status(esa)],[41]) ).
thf(137,plain,
( ( empty @ sk7 )
!= ( empty @ empty_set ) ),
inference(paramod_ordered,[status(thm)],[46,42]) ).
thf(138,plain,
sk7 != empty_set,
inference(simp,[status(thm)],[137]) ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( relation @ C )
=> ( ( in @ A @ ( relation_inverse_image @ C @ B ) )
<=> ? [D: $i] :
( ( in @ D @ ( relation_rng @ C ) )
& ( in @ ( ordered_pair @ A @ D ) @ C )
& ( in @ D @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t166_relat_1) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( relation @ C )
=> ( ( in @ A @ ( relation_inverse_image @ C @ B ) )
<=> ? [D: $i] :
( ( in @ D @ ( relation_rng @ C ) )
& ( in @ ( ordered_pair @ A @ D ) @ C )
& ( in @ D @ B ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(26,plain,
~ ! [A: $i,B: $i,C: $i] :
( ( relation @ C )
=> ( ( ( in @ A @ ( relation_inverse_image @ C @ B ) )
=> ? [D: $i] :
( ( in @ D @ ( relation_rng @ C ) )
& ( in @ ( ordered_pair @ A @ D ) @ C )
& ( in @ D @ B ) ) )
& ( ? [D: $i] :
( ( in @ D @ ( relation_rng @ C ) )
& ( in @ ( ordered_pair @ A @ D ) @ C )
& ( in @ D @ B ) )
=> ( in @ A @ ( relation_inverse_image @ C @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(29,plain,
( sk4
| ( in @ sk5 @ ( relation_rng @ sk3 ) ) ),
inference(cnf,[status(esa)],[26]) ).
thf(31,plain,
( sk4
| ~ ( in @ sk1 @ ( relation_inverse_image @ sk3 @ sk2 ) ) ),
inference(cnf,[status(esa)],[26]) ).
thf(167,plain,
( sk4
| ( ( in @ sk5 @ ( relation_rng @ sk3 ) )
!= ( in @ sk1 @ ( relation_inverse_image @ sk3 @ sk2 ) ) ) ),
inference(paramod_ordered,[status(thm)],[29,31]) ).
thf(170,plain,
( sk4
| ( sk5 != sk1 )
| ( ( relation_inverse_image @ sk3 @ sk2 )
!= ( relation_rng @ sk3 ) ) ),
inference(simp,[status(thm)],[167]) ).
thf(25,axiom,
! [A: $i,B: $i] :
~ ( empty @ ( ordered_pair @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_zfmisc_1) ).
thf(132,plain,
! [A: $i,B: $i] :
~ ( empty @ ( ordered_pair @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(10,axiom,
! [A: $i,B: $i] :
~ ( empty @ ( unordered_pair @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_subset_1) ).
thf(53,plain,
! [A: $i,B: $i] :
~ ( empty @ ( unordered_pair @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(27,plain,
! [A: $i] :
( ~ ( in @ A @ ( relation_rng @ sk3 ) )
| ~ ( in @ ( ordered_pair @ sk1 @ A ) @ sk3 )
| ~ ( in @ A @ sk2 )
| ~ sk4 ),
inference(cnf,[status(esa)],[26]) ).
thf(8,axiom,
! [A: $i] :
( ( empty @ A )
=> ( A = empty_set ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
thf(47,plain,
! [A: $i] :
( ( empty @ A )
=> ( A = empty_set ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(48,plain,
! [A: $i] :
( ~ ( empty @ A )
| ( A = empty_set ) ),
inference(cnf,[status(esa)],[47]) ).
thf(49,plain,
! [A: $i] :
( ( A = empty_set )
| ~ ( empty @ A ) ),
inference(lifteq,[status(thm)],[48]) ).
thf(54,plain,
~ ? [A: $i,B: $i] : ( empty @ ( unordered_pair @ A @ B ) ),
inference(miniscope,[status(thm)],[53]) ).
thf(55,plain,
! [B: $i,A: $i] :
~ ( empty @ ( unordered_pair @ A @ B ) ),
inference(cnf,[status(esa)],[54]) ).
thf(680,plain,
! [B: $i,A: $i] :
( ( empty @ ( unordered_pair @ A @ B ) )
!= ( empty @ empty_set ) ),
inference(paramod_ordered,[status(thm)],[46,55]) ).
thf(681,plain,
! [B: $i,A: $i] :
( ( unordered_pair @ A @ B )
!= empty_set ),
inference(simp,[status(thm)],[680]) ).
thf(24,axiom,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i] :
( ( B
= ( relation_rng @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ? [D: $i] : ( in @ ( ordered_pair @ D @ C ) @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_relat_1) ).
thf(112,plain,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i] :
( ( ( B
= ( relation_rng @ A ) )
=> ! [C: $i] :
( ( ( in @ C @ B )
=> ? [D: $i] : ( in @ ( ordered_pair @ D @ C ) @ A ) )
& ( ? [D: $i] : ( in @ ( ordered_pair @ D @ C ) @ A )
=> ( in @ C @ B ) ) ) )
& ( ! [C: $i] :
( ( ( in @ C @ B )
=> ? [D: $i] : ( in @ ( ordered_pair @ D @ C ) @ A ) )
& ( ? [D: $i] : ( in @ ( ordered_pair @ D @ C ) @ A )
=> ( in @ C @ B ) ) )
=> ( B
= ( relation_rng @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(14,axiom,
! [A: $i,B: $i] :
( ( element @ A @ B )
=> ( ( empty @ B )
| ( in @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
thf(63,plain,
! [A: $i,B: $i] :
( ( element @ A @ B )
=> ( ( empty @ B )
| ( in @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(6,axiom,
! [A: $i] :
~ ( empty @ ( singleton @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_subset_1) ).
thf(43,plain,
! [A: $i] :
~ ( empty @ ( singleton @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(19,axiom,
! [A: $i] :
( ( empty @ A )
=> ( ( empty @ ( relation_rng @ A ) )
& ( relation @ ( relation_rng @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc8_relat_1) ).
thf(99,plain,
! [A: $i] :
( ( empty @ A )
=> ( ( empty @ ( relation_rng @ A ) )
& ( relation @ ( relation_rng @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(12,axiom,
! [A: $i,B: $i] :
( ( in @ A @ B )
=> ( element @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
thf(58,plain,
! [A: $i,B: $i] :
( ( in @ A @ B )
=> ( element @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(30,plain,
( sk4
| ( in @ ( ordered_pair @ sk1 @ sk5 ) @ sk3 ) ),
inference(cnf,[status(esa)],[26]) ).
thf(17,axiom,
! [A: $i] :
( ( empty @ A )
=> ( relation @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relat_1) ).
thf(94,plain,
! [A: $i] :
( ( empty @ A )
=> ( relation @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(4,axiom,
? [A: $i] : ( empty @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
thf(38,plain,
? [A: $i] : ( empty @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(39,plain,
empty @ sk6,
inference(cnf,[status(esa)],[38]) ).
thf(495,plain,
! [A: $i] :
( ( A = empty_set )
| ( ( empty @ sk6 )
!= ( empty @ A ) ) ),
inference(paramod_ordered,[status(thm)],[39,49]) ).
thf(496,plain,
sk6 = empty_set,
inference(pattern_uni,[status(thm)],[495:[bind(A,$thf( sk6 ))]]) ).
thf(11,axiom,
! [A: $i] :
? [B: $i] : ( element @ B @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
thf(56,plain,
! [A: $i] :
? [B: $i] : ( element @ B @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(28,plain,
( sk4
| ( in @ sk5 @ sk2 ) ),
inference(cnf,[status(esa)],[26]) ).
thf(549,plain,
! [A: $i] :
( ~ ( empty @ A )
| sk4
| ( in @ empty_set @ sk2 )
| ( A != sk5 ) ),
inference(paramod_ordered,[status(thm)],[49,28]) ).
thf(550,plain,
( ~ ( empty @ sk5 )
| sk4
| ( in @ empty_set @ sk2 ) ),
inference(pattern_uni,[status(thm)],[549:[bind(A,$thf( sk5 ))]]) ).
thf(16,axiom,
? [A: $i] :
( ~ ( empty @ A )
& ( relation @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_relat_1) ).
thf(91,plain,
? [A: $i] :
( ~ ( empty @ A )
& ( relation @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(93,plain,
~ ( empty @ sk15 ),
inference(cnf,[status(esa)],[91]) ).
thf(140,plain,
( ( empty @ sk15 )
!= ( empty @ empty_set ) ),
inference(paramod_ordered,[status(thm)],[46,93]) ).
thf(142,plain,
sk15 != empty_set,
inference(simp,[status(thm)],[140]) ).
thf(3,axiom,
! [A: $i,B: $i] :
~ ( ( empty @ A )
& ( A != B )
& ( empty @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
thf(34,plain,
! [A: $i,B: $i] :
~ ( ( empty @ A )
& ( A != B )
& ( empty @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(35,plain,
~ ? [A: $i] :
( ( empty @ A )
& ? [B: $i] :
( ( A != B )
& ( empty @ B ) ) ),
inference(miniscope,[status(thm)],[34]) ).
thf(36,plain,
! [B: $i,A: $i] :
( ~ ( empty @ A )
| ( A = B )
| ~ ( empty @ B ) ),
inference(cnf,[status(esa)],[35]) ).
thf(37,plain,
! [B: $i,A: $i] :
( ( A = B )
| ~ ( empty @ A )
| ~ ( empty @ B ) ),
inference(lifteq,[status(thm)],[36]) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( unordered_pair @ A @ B )
= ( unordered_pair @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
thf(50,plain,
! [A: $i,B: $i] :
( ( unordered_pair @ A @ B )
= ( unordered_pair @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(51,plain,
! [B: $i,A: $i] :
( ( unordered_pair @ A @ B )
= ( unordered_pair @ B @ A ) ),
inference(cnf,[status(esa)],[50]) ).
thf(52,plain,
! [B: $i,A: $i] :
( ( unordered_pair @ A @ B )
= ( unordered_pair @ B @ A ) ),
inference(lifteq,[status(thm)],[51]) ).
thf(23,axiom,
! [A: $i] :
( ( ~ ( empty @ A )
& ( relation @ A ) )
=> ~ ( empty @ ( relation_rng @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_relat_1) ).
thf(110,plain,
! [A: $i] :
( ( ~ ( empty @ A )
& ( relation @ A ) )
=> ~ ( empty @ ( relation_rng @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(57,plain,
! [A: $i] : ( element @ ( sk8 @ A ) @ A ),
inference(cnf,[status(esa)],[56]) ).
thf(44,plain,
~ ? [A: $i] : ( empty @ ( singleton @ A ) ),
inference(miniscope,[status(thm)],[43]) ).
thf(45,plain,
! [A: $i] :
~ ( empty @ ( singleton @ A ) ),
inference(cnf,[status(esa)],[44]) ).
thf(399,plain,
! [A: $i] :
( ( empty @ ( singleton @ A ) )
!= ( empty @ sk6 ) ),
inference(paramod_ordered,[status(thm)],[39,45]) ).
thf(406,plain,
! [A: $i] :
( ( singleton @ A )
!= sk6 ),
inference(simp,[status(thm)],[399]) ).
thf(606,plain,
! [A: $i] :
( ( singleton @ A )
!= empty_set ),
inference(rewrite,[status(thm)],[406,496]) ).
thf(13,axiom,
? [A: $i] :
( ( empty @ A )
& ( relation @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_relat_1) ).
thf(60,plain,
? [A: $i] :
( ( empty @ A )
& ( relation @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(20,axiom,
! [A: $i,B: $i] :
~ ( ( in @ A @ B )
& ( empty @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
thf(102,plain,
! [A: $i,B: $i] :
~ ( ( in @ A @ B )
& ( empty @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(33,plain,
relation @ sk3,
inference(cnf,[status(esa)],[26]) ).
thf(92,plain,
relation @ sk15,
inference(cnf,[status(esa)],[91]) ).
thf(15,axiom,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i,C: $i] :
( ( C
= ( relation_inverse_image @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ? [E: $i] :
( ( in @ ( ordered_pair @ D @ E ) @ A )
& ( in @ E @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d14_relat_1) ).
thf(65,plain,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i,C: $i] :
( ( ( C
= ( relation_inverse_image @ A @ B ) )
=> ! [D: $i] :
( ( ( in @ D @ C )
=> ? [E: $i] :
( ( in @ ( ordered_pair @ D @ E ) @ A )
& ( in @ E @ B ) ) )
& ( ? [E: $i] :
( ( in @ ( ordered_pair @ D @ E ) @ A )
& ( in @ E @ B ) )
=> ( in @ D @ C ) ) ) )
& ( ! [D: $i] :
( ( ( in @ D @ C )
=> ? [E: $i] :
( ( in @ ( ordered_pair @ D @ E ) @ A )
& ( in @ E @ B ) ) )
& ( ? [E: $i] :
( ( in @ ( ordered_pair @ D @ E ) @ A )
& ( in @ E @ B ) )
=> ( in @ D @ C ) ) )
=> ( C
= ( relation_inverse_image @ A @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(18,axiom,
( ( empty @ empty_set )
& ( relation @ empty_set ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_relat_1) ).
thf(96,plain,
( ( empty @ empty_set )
& ( relation @ empty_set ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(97,plain,
relation @ empty_set,
inference(cnf,[status(esa)],[96]) ).
thf(62,plain,
empty @ sk9,
inference(cnf,[status(esa)],[60]) ).
thf(525,plain,
! [A: $i] :
( ( A = empty_set )
| ( ( empty @ sk9 )
!= ( empty @ A ) ) ),
inference(paramod_ordered,[status(thm)],[62,49]) ).
thf(526,plain,
sk9 = empty_set,
inference(pattern_uni,[status(thm)],[525:[bind(A,$thf( sk9 ))]]) ).
thf(133,plain,
~ ? [A: $i,B: $i] : ( empty @ ( ordered_pair @ A @ B ) ),
inference(miniscope,[status(thm)],[132]) ).
thf(134,plain,
! [B: $i,A: $i] :
~ ( empty @ ( ordered_pair @ A @ B ) ),
inference(cnf,[status(esa)],[133]) ).
thf(21,axiom,
! [A: $i,B: $i] :
( ( ordered_pair @ A @ B )
= ( unordered_pair @ ( unordered_pair @ A @ B ) @ ( singleton @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
thf(105,plain,
! [A: $i,B: $i] :
( ( ordered_pair @ A @ B )
= ( unordered_pair @ ( unordered_pair @ A @ B ) @ ( singleton @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(32,plain,
( ( in @ sk1 @ ( relation_inverse_image @ sk3 @ sk2 ) )
| ~ sk4 ),
inference(cnf,[status(esa)],[26]) ).
thf(22,axiom,
! [A: $i,B: $i] :
( ( in @ A @ B )
=> ~ ( in @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
thf(108,plain,
! [A: $i,B: $i] :
( ( in @ A @ B )
=> ~ ( in @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(168,plain,
( sk4
| ( ( in @ sk5 @ sk2 )
!= ( in @ sk1 @ ( relation_inverse_image @ sk3 @ sk2 ) ) ) ),
inference(paramod_ordered,[status(thm)],[28,31]) ).
thf(171,plain,
( sk4
| ( sk5 != sk1 )
| ( ( relation_inverse_image @ sk3 @ sk2 )
!= sk2 ) ),
inference(simp,[status(thm)],[168]) ).
thf(25009,plain,
$false,
inference(e,[status(thm)],[138,170,132,53,27,49,681,112,63,43,99,58,30,94,47,496,56,550,142,42,37,52,110,46,57,29,93,606,60,102,33,28,38,92,65,97,526,96,134,105,45,32,34,91,108,50,31,40,26,55,171]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU208+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 18 12:46:31 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.83/0.84 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.23/0.96 % [INFO] Parsing done (127ms).
% 1.23/0.97 % [INFO] Running in sequential loop mode.
% 1.70/1.17 % [INFO] eprover registered as external prover.
% 1.70/1.17 % [INFO] cvc4 registered as external prover.
% 1.70/1.18 % [INFO] Scanning for conjecture ...
% 1.85/1.24 % [INFO] Found a conjecture and 30 axioms. Running axiom selection ...
% 1.85/1.28 % [INFO] Axiom selection finished. Selected 23 axioms (removed 7 axioms).
% 1.85/1.31 % [INFO] Problem is first-order (TPTP FOF).
% 1.85/1.31 % [INFO] Type checking passed.
% 1.85/1.31 % [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 ...
% 58.02/9.62 % External prover 'e' found a proof!
% 58.02/9.62 % [INFO] Killing All external provers ...
% 58.02/9.63 % Time passed: 9111ms (effective reasoning time: 8649ms)
% 58.02/9.63 % 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)>
% 58.02/9.63 % Axioms used in derivation (23): fc1_zfmisc_1, d5_relat_1, cc1_relat_1, t6_boole, fc3_subset_1, fc2_subset_1, t7_boole, d14_relat_1, rc2_relat_1, rc1_relat_1, fc6_relat_1, rc2_xboole_0, antisymmetry_r2_hidden, fc1_xboole_0, d5_tarski, fc4_relat_1, t1_subset, existence_m1_subset_1, commutativity_k2_tarski, t8_boole, rc1_xboole_0, t2_subset, fc8_relat_1
% 58.02/9.63 % No. of inferences in proof: 97
% 58.02/9.63 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 9111 ms resp. 8649 ms w/o parsing
% 58.02/9.69 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 58.02/9.69 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------