TSTP Solution File: SET600+3 by Leo-III-SAT---1.7.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SET600+3 : TPTP v8.2.0. Released v2.2.0.
% 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 : Tue May 21 03:06:24 EDT 2024
% Result : Theorem 68.50s 10.73s
% Output : Refutation 68.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 60
% Number of leaves : 19
% Syntax : Number of formulae : 197 ( 24 unt; 12 typ; 0 def)
% Number of atoms : 546 ( 173 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 1372 ( 274 ~; 241 |; 21 &; 805 @)
% ( 6 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 195 ( 0 ^ 192 !; 3 ?; 195 :)
% Comments :
%------------------------------------------------------------------------------
thf(union_type,type,
union: $i > $i > $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(empty_type,type,
empty: $i > $o ).
thf(sk1_type,type,
sk1: $o ).
thf(sk2_type,type,
sk2: $i ).
thf(sk3_type,type,
sk3: $i ).
thf(sk4_type,type,
sk4: $i ).
thf(sk5_type,type,
sk5: $i ).
thf(sk6_type,type,
sk6: $i > $i > $i ).
thf(sk7_type,type,
sk7: $i > $i ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( member @ C @ A )
=> ( member @ C @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
thf(47,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)],[7]) ).
thf(48,plain,
( ! [A: $i,B: $i] :
( ( subset @ A @ B )
=> ! [C: $i] :
( ( member @ C @ A )
=> ( member @ C @ B ) ) )
& ! [A: $i,B: $i] :
( ! [C: $i] :
( ( member @ C @ A )
=> ( member @ C @ B ) )
=> ( subset @ A @ B ) ) ),
inference(miniscope,[status(thm)],[47]) ).
thf(49,plain,
! [B: $i,A: $i] :
( ( member @ ( sk6 @ B @ A ) @ A )
| ( subset @ A @ B ) ),
inference(cnf,[status(esa)],[48]) ).
thf(52,plain,
! [B: $i,A: $i] :
( ( member @ ( sk6 @ B @ A ) @ A )
| ( subset @ A @ B ) ),
inference(simp,[status(thm)],[49]) ).
thf(4,axiom,
! [A: $i] :
~ ( member @ A @ empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_set_defn) ).
thf(30,plain,
! [A: $i] :
~ ( member @ A @ empty_set ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(31,plain,
~ ? [A: $i] : ( member @ A @ empty_set ),
inference(miniscope,[status(thm)],[30]) ).
thf(32,plain,
! [A: $i] :
~ ( member @ A @ empty_set ),
inference(cnf,[status(esa)],[31]) ).
thf(363,plain,
! [C: $i,B: $i,A: $i] :
( ( subset @ A @ B )
| ( ( member @ ( sk6 @ B @ A ) @ A )
!= ( member @ C @ empty_set ) ) ),
inference(paramod_ordered,[status(thm)],[52,32]) ).
thf(364,plain,
! [A: $i] : ( subset @ empty_set @ A ),
inference(pattern_uni,[status(thm)],[363:[bind(A,$thf( empty_set )),bind(B,$thf( D )),bind(C,$thf( sk6 @ D @ empty_set ))]]) ).
thf(384,plain,
! [A: $i] : ( subset @ empty_set @ A ),
inference(simp,[status(thm)],[364]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( A = B )
<=> ( ( subset @ A @ B )
& ( subset @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_defn) ).
thf(33,plain,
! [A: $i,B: $i] :
( ( ( A = B )
=> ( ( subset @ A @ B )
& ( subset @ B @ A ) ) )
& ( ( ( subset @ A @ B )
& ( subset @ B @ A ) )
=> ( A = B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(34,plain,
( ! [A: $i,B: $i] :
( ( A = B )
=> ( ( subset @ A @ B )
& ( subset @ B @ A ) ) )
& ! [A: $i,B: $i] :
( ( ( subset @ A @ B )
& ( subset @ B @ A ) )
=> ( A = B ) ) ),
inference(miniscope,[status(thm)],[33]) ).
thf(35,plain,
! [B: $i,A: $i] :
( ~ ( subset @ A @ B )
| ~ ( subset @ B @ A )
| ( A = B ) ),
inference(cnf,[status(esa)],[34]) ).
thf(38,plain,
! [B: $i,A: $i] :
( ( A = B )
| ~ ( subset @ A @ B )
| ~ ( subset @ B @ A ) ),
inference(lifteq,[status(thm)],[35]) ).
thf(39,plain,
! [B: $i,A: $i] :
( ( A = B )
| ~ ( subset @ A @ B )
| ~ ( subset @ B @ A ) ),
inference(simp,[status(thm)],[38]) ).
thf(465,plain,
! [C: $i,B: $i,A: $i] :
( ( B = C )
| ~ ( subset @ C @ B )
| ( ( subset @ empty_set @ A )
!= ( subset @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[384,39]) ).
thf(466,plain,
! [A: $i] :
( ( empty_set = A )
| ~ ( subset @ A @ empty_set ) ),
inference(pattern_uni,[status(thm)],[465:[bind(A,$thf( A )),bind(B,$thf( empty_set )),bind(C,$thf( A ))]]) ).
thf(1,conjecture,
! [A: $i,B: $i] :
( ( ( union @ A @ B )
= empty_set )
<=> ( ( A = empty_set )
& ( B = empty_set ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th59) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( ( union @ A @ B )
= empty_set )
<=> ( ( A = empty_set )
& ( B = empty_set ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(11,plain,
~ ! [A: $i,B: $i] :
( ( ( ( union @ A @ B )
= empty_set )
=> ( ( A = empty_set )
& ( B = empty_set ) ) )
& ( ( ( A = empty_set )
& ( B = empty_set ) )
=> ( ( union @ A @ B )
= empty_set ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(12,plain,
~ ( ! [A: $i,B: $i] :
( ( ( union @ A @ B )
= empty_set )
=> ( ( A = empty_set )
& ( B = empty_set ) ) )
& ! [A: $i,B: $i] :
( ( ( A = empty_set )
& ( B = empty_set ) )
=> ( ( union @ A @ B )
= empty_set ) ) ),
inference(miniscope,[status(thm)],[11]) ).
thf(16,plain,
( ( ( union @ sk2 @ sk3 )
= empty_set )
| ~ sk1 ),
inference(cnf,[status(esa)],[12]) ).
thf(21,plain,
( ( ( union @ sk2 @ sk3 )
= empty_set )
| ~ sk1 ),
inference(lifteq,[status(thm)],[16]) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( union @ A @ B )
= ( union @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_union) ).
thf(44,plain,
! [A: $i,B: $i] :
( ( union @ A @ B )
= ( union @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(45,plain,
! [B: $i,A: $i] :
( ( union @ A @ B )
= ( union @ B @ A ) ),
inference(cnf,[status(esa)],[44]) ).
thf(46,plain,
! [B: $i,A: $i] :
( ( union @ A @ B )
= ( union @ B @ A ) ),
inference(lifteq,[status(thm)],[45]) ).
thf(88,plain,
! [B: $i,A: $i] :
( ~ sk1
| ( ( union @ B @ A )
= empty_set )
| ( ( union @ sk2 @ sk3 )
!= ( union @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[21,46]) ).
thf(89,plain,
( ~ sk1
| ( ( union @ sk3 @ sk2 )
= empty_set ) ),
inference(pattern_uni,[status(thm)],[88:[bind(A,$thf( sk2 )),bind(B,$thf( sk3 ))]]) ).
thf(17,plain,
( sk1
| ( sk4 = empty_set ) ),
inference(cnf,[status(esa)],[12]) ).
thf(20,plain,
( ( sk4 = empty_set )
| sk1 ),
inference(lifteq,[status(thm)],[17]) ).
thf(13,plain,
( sk1
| ( sk5 = empty_set ) ),
inference(cnf,[status(esa)],[12]) ).
thf(19,plain,
( ( sk5 = empty_set )
| sk1 ),
inference(lifteq,[status(thm)],[13]) ).
thf(14,plain,
( sk1
| ( ( union @ sk4 @ sk5 )
!= empty_set ) ),
inference(cnf,[status(esa)],[12]) ).
thf(18,plain,
( ( ( union @ sk4 @ sk5 )
!= empty_set )
| sk1 ),
inference(lifteq,[status(thm)],[14]) ).
thf(83,plain,
( sk1
| ( ( union @ sk4 @ empty_set )
!= empty_set )
| ( sk5 != sk5 ) ),
inference(paramod_ordered,[status(thm)],[19,18]) ).
thf(84,plain,
( sk1
| ( ( union @ sk4 @ empty_set )
!= empty_set ) ),
inference(pattern_uni,[status(thm)],[83:[]]) ).
thf(487,plain,
! [A: $i] :
( ~ ( subset @ A @ empty_set )
| sk1
| ( A
!= ( union @ sk4 @ empty_set ) ) ),
inference(paramod_ordered,[status(thm)],[466,84]) ).
thf(488,plain,
( ~ ( subset @ ( union @ sk4 @ empty_set ) @ empty_set )
| sk1 ),
inference(pattern_uni,[status(thm)],[487:[bind(A,$thf( union @ sk4 @ empty_set ))]]) ).
thf(593,plain,
! [B: $i,A: $i] :
( ( member @ ( sk6 @ B @ A ) @ A )
| sk1
| ( ( subset @ A @ B )
!= ( subset @ ( union @ sk4 @ empty_set ) @ empty_set ) ) ),
inference(paramod_ordered,[status(thm)],[52,488]) ).
thf(594,plain,
( ( member @ ( sk6 @ empty_set @ ( union @ sk4 @ empty_set ) ) @ ( union @ sk4 @ empty_set ) )
| sk1 ),
inference(pattern_uni,[status(thm)],[593:[bind(A,$thf( union @ sk4 @ empty_set )),bind(B,$thf( empty_set ))]]) ).
thf(763,plain,
( sk1
| ( member @ ( sk6 @ empty_set @ ( union @ sk4 @ empty_set ) ) @ ( union @ empty_set @ empty_set ) )
| ( sk4 != sk4 ) ),
inference(paramod_ordered,[status(thm)],[20,594]) ).
thf(764,plain,
( sk1
| ( member @ ( sk6 @ empty_set @ ( union @ sk4 @ empty_set ) ) @ ( union @ empty_set @ empty_set ) ) ),
inference(pattern_uni,[status(thm)],[763:[]]) ).
thf(3,axiom,
! [A: $i,B: $i,C: $i] :
( ( member @ C @ ( union @ A @ B ) )
<=> ( ( member @ C @ A )
| ( member @ C @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
thf(23,plain,
! [A: $i,B: $i,C: $i] :
( ( ( member @ C @ ( union @ A @ B ) )
=> ( ( member @ C @ A )
| ( member @ C @ B ) ) )
& ( ( ( member @ C @ A )
| ( member @ C @ B ) )
=> ( member @ C @ ( union @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(24,plain,
( ! [A: $i,B: $i,C: $i] :
( ( member @ C @ ( union @ A @ B ) )
=> ( ( member @ C @ A )
| ( member @ C @ B ) ) )
& ! [A: $i,B: $i,C: $i] :
( ( ( member @ C @ A )
| ( member @ C @ B ) )
=> ( member @ C @ ( union @ A @ B ) ) ) ),
inference(miniscope,[status(thm)],[23]) ).
thf(27,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( member @ C @ ( union @ A @ B ) )
| ( member @ C @ A )
| ( member @ C @ B ) ),
inference(cnf,[status(esa)],[24]) ).
thf(1382,plain,
! [C: $i,B: $i,A: $i] :
( sk1
| ( member @ C @ A )
| ( member @ C @ B )
| ( ( member @ ( sk6 @ empty_set @ ( union @ sk4 @ empty_set ) ) @ ( union @ empty_set @ empty_set ) )
!= ( member @ C @ ( union @ A @ B ) ) ) ),
inference(paramod_ordered,[status(thm)],[764,27]) ).
thf(1383,plain,
( sk1
| ( member @ ( sk6 @ empty_set @ ( union @ sk4 @ empty_set ) ) @ empty_set )
| ( member @ ( sk6 @ empty_set @ ( union @ sk4 @ empty_set ) ) @ empty_set ) ),
inference(pattern_uni,[status(thm)],[1382:[bind(A,$thf( empty_set )),bind(B,$thf( empty_set )),bind(C,$thf( sk6 @ empty_set @ ( union @ sk4 @ empty_set ) ))]]) ).
thf(1422,plain,
( sk1
| ( member @ ( sk6 @ empty_set @ ( union @ sk4 @ empty_set ) ) @ empty_set ) ),
inference(simp,[status(thm)],[1383]) ).
thf(1509,plain,
( sk1
| $false ),
inference(rewrite,[status(thm)],[1422,32]) ).
thf(1510,plain,
sk1,
inference(simp,[status(thm)],[1509]) ).
thf(1513,plain,
( ~ $true
| ( ( union @ sk3 @ sk2 )
= empty_set ) ),
inference(rewrite,[status(thm)],[89,1510]) ).
thf(1514,plain,
( ( union @ sk3 @ sk2 )
= empty_set ),
inference(simp,[status(thm)],[1513]) ).
thf(1533,plain,
! [A: $i] :
( ~ ( subset @ A @ empty_set )
| ( ( union @ sk3 @ empty_set )
= empty_set )
| ( A != sk2 ) ),
inference(paramod_ordered,[status(thm)],[466,1514]) ).
thf(1534,plain,
( ~ ( subset @ sk2 @ empty_set )
| ( ( union @ sk3 @ empty_set )
= empty_set ) ),
inference(pattern_uni,[status(thm)],[1533:[bind(A,$thf( sk2 ))]]) ).
thf(3726,plain,
! [B: $i,A: $i] :
( ( member @ ( sk6 @ B @ A ) @ A )
| ( ( union @ sk3 @ empty_set )
= empty_set )
| ( ( subset @ A @ B )
!= ( subset @ sk2 @ empty_set ) ) ),
inference(paramod_ordered,[status(thm)],[52,1534]) ).
thf(3727,plain,
( ( member @ ( sk6 @ empty_set @ sk2 ) @ sk2 )
| ( ( union @ sk3 @ empty_set )
= empty_set ) ),
inference(pattern_uni,[status(thm)],[3726:[bind(A,$thf( sk2 )),bind(B,$thf( empty_set ))]]) ).
thf(9,axiom,
! [A: $i] :
( ( empty @ A )
<=> ! [B: $i] :
~ ( member @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_defn) ).
thf(56,plain,
! [A: $i] :
( ( ( empty @ A )
=> ! [B: $i] :
~ ( member @ B @ A ) )
& ( ! [B: $i] :
~ ( member @ B @ A )
=> ( empty @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(57,plain,
( ! [A: $i] :
( ( empty @ A )
=> ~ ? [B: $i] : ( member @ B @ A ) )
& ! [A: $i] :
( ~ ? [B: $i] : ( member @ B @ A )
=> ( empty @ A ) ) ),
inference(miniscope,[status(thm)],[56]) ).
thf(59,plain,
! [B: $i,A: $i] :
( ~ ( empty @ A )
| ~ ( member @ B @ A ) ),
inference(cnf,[status(esa)],[57]) ).
thf(5526,plain,
! [B: $i,A: $i] :
( ( ( union @ sk3 @ empty_set )
= empty_set )
| ~ ( empty @ A )
| ( ( member @ ( sk6 @ empty_set @ sk2 ) @ sk2 )
!= ( member @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[3727,59]) ).
thf(5527,plain,
( ( ( union @ sk3 @ empty_set )
= empty_set )
| ~ ( empty @ sk2 ) ),
inference(pattern_uni,[status(thm)],[5526:[bind(A,$thf( sk2 )),bind(B,$thf( sk6 @ empty_set @ sk2 ))]]) ).
thf(5675,plain,
! [B: $i,A: $i] :
( ~ ( empty @ sk2 )
| ( ( union @ B @ A )
= empty_set )
| ( ( union @ sk3 @ empty_set )
!= ( union @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[5527,46]) ).
thf(5676,plain,
( ~ ( empty @ sk2 )
| ( ( union @ empty_set @ sk3 )
= empty_set ) ),
inference(pattern_uni,[status(thm)],[5675:[bind(A,$thf( sk3 )),bind(B,$thf( empty_set ))]]) ).
thf(58,plain,
! [A: $i] :
( ( member @ ( sk7 @ A ) @ A )
| ( empty @ A ) ),
inference(cnf,[status(esa)],[57]) ).
thf(60,plain,
! [A: $i] :
( ( member @ ( sk7 @ A ) @ A )
| ( empty @ A ) ),
inference(simp,[status(thm)],[58]) ).
thf(280,plain,
! [B: $i,A: $i] :
( ( empty @ A )
| ( ( member @ ( sk7 @ A ) @ A )
!= ( member @ B @ empty_set ) ) ),
inference(paramod_ordered,[status(thm)],[60,32]) ).
thf(281,plain,
empty @ empty_set,
inference(pattern_uni,[status(thm)],[280:[bind(A,$thf( empty_set )),bind(B,$thf( sk7 @ empty_set ))]]) ).
thf(15,plain,
( ( sk2 != empty_set )
| ( sk3 != empty_set )
| ~ sk1 ),
inference(cnf,[status(esa)],[12]) ).
thf(22,plain,
( ( sk2 != empty_set )
| ( sk3 != empty_set )
| ~ sk1 ),
inference(lifteq,[status(thm)],[15]) ).
thf(205,plain,
! [B: $i,A: $i] :
( ~ ( subset @ A @ B )
| ~ ( subset @ B @ A )
| ( sk2 != empty_set )
| ( B != empty_set )
| ~ sk1
| ( A != sk3 ) ),
inference(paramod_ordered,[status(thm)],[39,22]) ).
thf(206,plain,
! [A: $i] :
( ~ ( subset @ sk3 @ A )
| ~ ( subset @ A @ sk3 )
| ( sk2 != empty_set )
| ( A != empty_set )
| ~ sk1 ),
inference(pattern_uni,[status(thm)],[205:[bind(A,$thf( sk3 ))]]) ).
thf(222,plain,
( ~ ( subset @ sk3 @ empty_set )
| ~ ( subset @ empty_set @ sk3 )
| ( sk2 != empty_set )
| ~ sk1 ),
inference(simp,[status(thm)],[206]) ).
thf(461,plain,
( ~ ( subset @ sk3 @ empty_set )
| ~ $true
| ( sk2 != empty_set )
| ~ sk1 ),
inference(rewrite,[status(thm)],[222,384]) ).
thf(462,plain,
( ~ ( subset @ sk3 @ empty_set )
| ( sk2 != empty_set )
| ~ sk1 ),
inference(simp,[status(thm)],[461]) ).
thf(1515,plain,
( ~ ( subset @ sk3 @ empty_set )
| ( sk2 != empty_set )
| ~ $true ),
inference(rewrite,[status(thm)],[462,1510]) ).
thf(1516,plain,
( ~ ( subset @ sk3 @ empty_set )
| ( sk2 != empty_set ) ),
inference(simp,[status(thm)],[1515]) ).
thf(1844,plain,
! [B: $i,A: $i] :
( ( member @ ( sk6 @ B @ A ) @ A )
| ( sk2 != empty_set )
| ( ( subset @ A @ B )
!= ( subset @ sk3 @ empty_set ) ) ),
inference(paramod_ordered,[status(thm)],[52,1516]) ).
thf(1845,plain,
( ( member @ ( sk6 @ empty_set @ sk3 ) @ sk3 )
| ( sk2 != empty_set ) ),
inference(pattern_uni,[status(thm)],[1844:[bind(A,$thf( sk3 )),bind(B,$thf( empty_set ))]]) ).
thf(5120,plain,
! [B: $i,A: $i] :
( ( sk2 != empty_set )
| ~ ( empty @ A )
| ( ( member @ ( sk6 @ empty_set @ sk3 ) @ sk3 )
!= ( member @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[1845,59]) ).
thf(5121,plain,
( ( sk2 != empty_set )
| ~ ( empty @ sk3 ) ),
inference(pattern_uni,[status(thm)],[5120:[bind(A,$thf( sk3 )),bind(B,$thf( sk6 @ empty_set @ sk3 ))]]) ).
thf(5213,plain,
! [A: $i] :
( ~ ( subset @ A @ empty_set )
| ~ ( empty @ sk3 )
| ( A != sk2 ) ),
inference(paramod_ordered,[status(thm)],[466,5121]) ).
thf(5214,plain,
( ~ ( subset @ sk2 @ empty_set )
| ~ ( empty @ sk3 ) ),
inference(pattern_uni,[status(thm)],[5213:[bind(A,$thf( sk2 ))]]) ).
thf(5283,plain,
! [B: $i,A: $i] :
( ( member @ ( sk6 @ B @ A ) @ A )
| ~ ( empty @ sk3 )
| ( ( subset @ A @ B )
!= ( subset @ sk2 @ empty_set ) ) ),
inference(paramod_ordered,[status(thm)],[52,5214]) ).
thf(5284,plain,
( ( member @ ( sk6 @ empty_set @ sk2 ) @ sk2 )
| ~ ( empty @ sk3 ) ),
inference(pattern_uni,[status(thm)],[5283:[bind(A,$thf( sk2 )),bind(B,$thf( empty_set ))]]) ).
thf(7690,plain,
! [B: $i,A: $i] :
( ~ ( empty @ sk3 )
| ~ ( empty @ A )
| ( ( member @ ( sk6 @ empty_set @ sk2 ) @ sk2 )
!= ( member @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5284,59]) ).
thf(7691,plain,
( ~ ( empty @ sk3 )
| ~ ( empty @ sk2 ) ),
inference(pattern_uni,[status(thm)],[7690:[bind(A,$thf( sk2 )),bind(B,$thf( sk6 @ empty_set @ sk2 ))]]) ).
thf(7843,plain,
( ~ ( empty @ sk2 )
| ( ( empty @ sk3 )
!= ( empty @ sk2 ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[7691]) ).
thf(7846,plain,
( ~ ( empty @ sk2 )
| ( ( empty @ sk3 )
!= ( empty @ sk2 ) ) ),
inference(simp,[status(thm)],[7843]) ).
thf(7889,plain,
( ( ( empty @ sk3 )
!= ( empty @ sk2 ) )
| ( ( empty @ sk2 )
!= ( empty @ empty_set ) ) ),
inference(paramod_ordered,[status(thm)],[281,7846]) ).
thf(7913,plain,
( ( ( empty @ sk3 )
!= ( empty @ sk2 ) )
| ( sk2 != empty_set ) ),
inference(simp,[status(thm)],[7889]) ).
thf(7929,plain,
( ( sk2 != empty_set )
| ( empty @ sk3 )
| ( empty @ sk2 ) ),
inference(bool_ext,[status(thm)],[7913]) ).
thf(8465,plain,
( ( sk2 != empty_set )
| ( empty @ sk2 )
| ( ( empty @ sk3 )
!= ( empty @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[7929,5121]) ).
thf(8466,plain,
( ( sk2 != empty_set )
| ( empty @ sk2 ) ),
inference(pattern_uni,[status(thm)],[8465:[]]) ).
thf(8525,plain,
! [A: $i] :
( ~ ( subset @ A @ empty_set )
| ( empty @ sk2 )
| ( A != sk2 ) ),
inference(paramod_ordered,[status(thm)],[466,8466]) ).
thf(8526,plain,
( ~ ( subset @ sk2 @ empty_set )
| ( empty @ sk2 ) ),
inference(pattern_uni,[status(thm)],[8525:[bind(A,$thf( sk2 ))]]) ).
thf(8629,plain,
! [B: $i,A: $i] :
( ( member @ ( sk6 @ B @ A ) @ A )
| ( empty @ sk2 )
| ( ( subset @ A @ B )
!= ( subset @ sk2 @ empty_set ) ) ),
inference(paramod_ordered,[status(thm)],[52,8526]) ).
thf(8630,plain,
( ( member @ ( sk6 @ empty_set @ sk2 ) @ sk2 )
| ( empty @ sk2 ) ),
inference(pattern_uni,[status(thm)],[8629:[bind(A,$thf( sk2 )),bind(B,$thf( empty_set ))]]) ).
thf(26,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( member @ C @ B )
| ( member @ C @ ( union @ A @ B ) ) ),
inference(cnf,[status(esa)],[24]) ).
thf(29,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( member @ C @ B )
| ( member @ C @ ( union @ A @ B ) ) ),
inference(simp,[status(thm)],[26]) ).
thf(8841,plain,
! [C: $i,B: $i,A: $i] :
( ( empty @ sk2 )
| ( member @ C @ ( union @ A @ B ) )
| ( ( member @ ( sk6 @ empty_set @ sk2 ) @ sk2 )
!= ( member @ C @ B ) ) ),
inference(paramod_ordered,[status(thm)],[8630,29]) ).
thf(8842,plain,
! [A: $i] :
( ( empty @ sk2 )
| ( member @ ( sk6 @ empty_set @ sk2 ) @ ( union @ A @ sk2 ) ) ),
inference(pattern_uni,[status(thm)],[8841:[bind(A,$thf( A )),bind(B,$thf( sk2 )),bind(C,$thf( sk6 @ empty_set @ sk2 ))]]) ).
thf(18478,plain,
! [A: $i] :
( ( empty @ sk2 )
| ( member @ ( sk6 @ empty_set @ sk2 ) @ empty_set )
| ( ( union @ sk3 @ sk2 )
!= ( union @ A @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[1514,8842]) ).
thf(18479,plain,
( ( empty @ sk2 )
| ( member @ ( sk6 @ empty_set @ sk2 ) @ empty_set ) ),
inference(pattern_uni,[status(thm)],[18478:[bind(A,$thf( sk3 ))]]) ).
thf(18795,plain,
( ( empty @ sk2 )
| $false ),
inference(rewrite,[status(thm)],[18479,32]) ).
thf(18796,plain,
empty @ sk2,
inference(simp,[status(thm)],[18795]) ).
thf(18801,plain,
( ~ $true
| ( ( union @ empty_set @ sk3 )
= empty_set ) ),
inference(rewrite,[status(thm)],[5676,18796]) ).
thf(18802,plain,
( ( union @ empty_set @ sk3 )
= empty_set ),
inference(simp,[status(thm)],[18801]) ).
thf(203,plain,
! [B: $i,A: $i] :
( ~ ( subset @ A @ B )
| ~ ( subset @ B @ A )
| ( B != empty_set )
| ( sk3 != empty_set )
| ~ sk1
| ( A != sk2 ) ),
inference(paramod_ordered,[status(thm)],[39,22]) ).
thf(204,plain,
! [A: $i] :
( ~ ( subset @ sk2 @ A )
| ~ ( subset @ A @ sk2 )
| ( A != empty_set )
| ( sk3 != empty_set )
| ~ sk1 ),
inference(pattern_uni,[status(thm)],[203:[bind(A,$thf( sk2 ))]]) ).
thf(221,plain,
( ~ ( subset @ sk2 @ empty_set )
| ~ ( subset @ empty_set @ sk2 )
| ( sk3 != empty_set )
| ~ sk1 ),
inference(simp,[status(thm)],[204]) ).
thf(463,plain,
( ~ ( subset @ sk2 @ empty_set )
| ~ $true
| ( sk3 != empty_set )
| ~ sk1 ),
inference(rewrite,[status(thm)],[221,384]) ).
thf(464,plain,
( ~ ( subset @ sk2 @ empty_set )
| ( sk3 != empty_set )
| ~ sk1 ),
inference(simp,[status(thm)],[463]) ).
thf(1519,plain,
( ~ ( subset @ sk2 @ empty_set )
| ( sk3 != empty_set )
| ~ $true ),
inference(rewrite,[status(thm)],[464,1510]) ).
thf(1520,plain,
( ~ ( subset @ sk2 @ empty_set )
| ( sk3 != empty_set ) ),
inference(simp,[status(thm)],[1519]) ).
thf(1894,plain,
! [B: $i,A: $i] :
( ( member @ ( sk6 @ B @ A ) @ A )
| ( sk3 != empty_set )
| ( ( subset @ A @ B )
!= ( subset @ sk2 @ empty_set ) ) ),
inference(paramod_ordered,[status(thm)],[52,1520]) ).
thf(1895,plain,
( ( member @ ( sk6 @ empty_set @ sk2 ) @ sk2 )
| ( sk3 != empty_set ) ),
inference(pattern_uni,[status(thm)],[1894:[bind(A,$thf( sk2 )),bind(B,$thf( empty_set ))]]) ).
thf(6049,plain,
! [B: $i,A: $i] :
( ( sk3 != empty_set )
| ~ ( empty @ A )
| ( ( member @ ( sk6 @ empty_set @ sk2 ) @ sk2 )
!= ( member @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[1895,59]) ).
thf(6050,plain,
( ( sk3 != empty_set )
| ~ ( empty @ sk2 ) ),
inference(pattern_uni,[status(thm)],[6049:[bind(A,$thf( sk2 )),bind(B,$thf( sk6 @ empty_set @ sk2 ))]]) ).
thf(6142,plain,
! [A: $i] :
( ~ ( subset @ A @ empty_set )
| ~ ( empty @ sk2 )
| ( A != sk3 ) ),
inference(paramod_ordered,[status(thm)],[466,6050]) ).
thf(6143,plain,
( ~ ( subset @ sk3 @ empty_set )
| ~ ( empty @ sk2 ) ),
inference(pattern_uni,[status(thm)],[6142:[bind(A,$thf( sk3 ))]]) ).
thf(6212,plain,
! [B: $i,A: $i] :
( ( member @ ( sk6 @ B @ A ) @ A )
| ~ ( empty @ sk2 )
| ( ( subset @ A @ B )
!= ( subset @ sk3 @ empty_set ) ) ),
inference(paramod_ordered,[status(thm)],[52,6143]) ).
thf(6213,plain,
( ( member @ ( sk6 @ empty_set @ sk3 ) @ sk3 )
| ~ ( empty @ sk2 ) ),
inference(pattern_uni,[status(thm)],[6212:[bind(A,$thf( sk3 )),bind(B,$thf( empty_set ))]]) ).
thf(18820,plain,
( ( member @ ( sk6 @ empty_set @ sk3 ) @ sk3 )
| ~ $true ),
inference(rewrite,[status(thm)],[6213,18796]) ).
thf(18821,plain,
member @ ( sk6 @ empty_set @ sk3 ) @ sk3,
inference(simp,[status(thm)],[18820]) ).
thf(19605,plain,
! [C: $i,B: $i,A: $i] :
( ( member @ C @ ( union @ A @ B ) )
| ( ( member @ ( sk6 @ empty_set @ sk3 ) @ sk3 )
!= ( member @ C @ B ) ) ),
inference(paramod_ordered,[status(thm)],[18821,29]) ).
thf(19606,plain,
! [A: $i] : ( member @ ( sk6 @ empty_set @ sk3 ) @ ( union @ A @ sk3 ) ),
inference(pattern_uni,[status(thm)],[19605:[bind(A,$thf( A )),bind(B,$thf( sk3 )),bind(C,$thf( sk6 @ empty_set @ sk3 ))]]) ).
thf(20005,plain,
! [A: $i] :
( ( member @ ( sk6 @ empty_set @ sk3 ) @ empty_set )
| ( ( union @ empty_set @ sk3 )
!= ( union @ A @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[18802,19606]) ).
thf(20006,plain,
member @ ( sk6 @ empty_set @ sk3 ) @ empty_set,
inference(pattern_uni,[status(thm)],[20005:[bind(A,$thf( empty_set ))]]) ).
thf(50,plain,
! [B: $i,A: $i] :
( ~ ( member @ ( sk6 @ B @ A ) @ B )
| ( subset @ A @ B ) ),
inference(cnf,[status(esa)],[48]) ).
thf(53,plain,
! [B: $i,A: $i] :
( ~ ( member @ ( sk6 @ B @ A ) @ B )
| ( subset @ A @ B ) ),
inference(simp,[status(thm)],[50]) ).
thf(8570,plain,
! [B: $i,A: $i] :
( ( sk2 != empty_set )
| ~ ( member @ B @ A )
| ( ( empty @ sk2 )
!= ( empty @ A ) ) ),
inference(paramod_ordered,[status(thm)],[8466,59]) ).
thf(8571,plain,
! [A: $i] :
( ( sk2 != empty_set )
| ~ ( member @ A @ sk2 ) ),
inference(pattern_uni,[status(thm)],[8570:[bind(A,$thf( sk2 ))]]) ).
thf(8617,plain,
! [A: $i] :
( ( sk2 != empty_set )
| ~ ( member @ A @ sk2 ) ),
inference(simp,[status(thm)],[8571]) ).
thf(9216,plain,
! [C: $i,B: $i,A: $i] :
( ( subset @ A @ B )
| ( sk2 != empty_set )
| ( ( member @ ( sk6 @ B @ A ) @ A )
!= ( member @ C @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[52,8617]) ).
thf(9217,plain,
! [A: $i] :
( ( subset @ sk2 @ A )
| ( sk2 != empty_set ) ),
inference(pattern_uni,[status(thm)],[9216:[bind(A,$thf( sk2 )),bind(B,$thf( D )),bind(C,$thf( sk6 @ D @ sk2 ))]]) ).
thf(9290,plain,
! [A: $i] :
( ( subset @ sk2 @ A )
| ( sk2 != empty_set ) ),
inference(simp,[status(thm)],[9217]) ).
thf(36,plain,
! [B: $i,A: $i] :
( ( A != B )
| ( subset @ A @ B ) ),
inference(cnf,[status(esa)],[34]) ).
thf(40,plain,
! [B: $i,A: $i] :
( ( A != B )
| ( subset @ A @ B ) ),
inference(lifteq,[status(thm)],[36]) ).
thf(41,plain,
! [A: $i] : ( subset @ A @ A ),
inference(simp,[status(thm)],[40]) ).
thf(650,plain,
! [A: $i] :
( ~ ( subset @ A @ empty_set )
| ~ ( subset @ sk3 @ empty_set )
| ~ sk1
| ( A != sk2 ) ),
inference(paramod_ordered,[status(thm)],[466,462]) ).
thf(651,plain,
( ~ ( subset @ sk2 @ empty_set )
| ~ ( subset @ sk3 @ empty_set )
| ~ sk1 ),
inference(pattern_uni,[status(thm)],[650:[bind(A,$thf( sk2 ))]]) ).
thf(1289,plain,
( ~ ( subset @ sk2 @ empty_set )
| ~ sk1
| ( ( subset @ sk3 @ empty_set )
!= ( subset @ sk2 @ empty_set ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[651]) ).
thf(1292,plain,
( ~ ( subset @ sk2 @ empty_set )
| ~ sk1
| ( sk3 != sk2 )
| ( empty_set != empty_set ) ),
inference(simp,[status(thm)],[1289]) ).
thf(1297,plain,
( ~ ( subset @ sk2 @ empty_set )
| ~ sk1
| ( sk3 != sk2 ) ),
inference(simp,[status(thm)],[1292]) ).
thf(1328,plain,
! [A: $i] :
( ~ sk1
| ( sk3 != sk2 )
| ( ( subset @ A @ A )
!= ( subset @ sk2 @ empty_set ) ) ),
inference(paramod_ordered,[status(thm)],[41,1297]) ).
thf(1329,plain,
! [A: $i] :
( ~ sk1
| ( sk3 != sk2 )
| ( A != sk2 )
| ( A != empty_set ) ),
inference(simp,[status(thm)],[1328]) ).
thf(1335,plain,
( ~ sk1
| ( sk3 != sk2 )
| ( sk2 != empty_set ) ),
inference(simp,[status(thm)],[1329]) ).
thf(1517,plain,
( ~ $true
| ( sk3 != sk2 )
| ( sk2 != empty_set ) ),
inference(rewrite,[status(thm)],[1335,1510]) ).
thf(1518,plain,
( ( sk3 != sk2 )
| ( sk2 != empty_set ) ),
inference(simp,[status(thm)],[1517]) ).
thf(1609,plain,
! [B: $i,A: $i] :
( ~ ( subset @ A @ B )
| ~ ( subset @ B @ A )
| ( B != sk2 )
| ( sk2 != empty_set )
| ( A != sk3 ) ),
inference(paramod_ordered,[status(thm)],[39,1518]) ).
thf(1610,plain,
! [A: $i] :
( ~ ( subset @ sk3 @ A )
| ~ ( subset @ A @ sk3 )
| ( A != sk2 )
| ( sk2 != empty_set ) ),
inference(pattern_uni,[status(thm)],[1609:[bind(A,$thf( sk3 ))]]) ).
thf(1618,plain,
( ~ ( subset @ sk3 @ sk2 )
| ~ ( subset @ sk2 @ sk3 )
| ( sk2 != empty_set ) ),
inference(simp,[status(thm)],[1610]) ).
thf(12075,plain,
! [A: $i] :
( ( sk2 != empty_set )
| ~ ( subset @ sk3 @ sk2 )
| ( ( subset @ sk2 @ A )
!= ( subset @ sk2 @ sk3 ) ) ),
inference(paramod_ordered,[status(thm)],[9290,1618]) ).
thf(12076,plain,
( ( sk2 != empty_set )
| ~ ( subset @ sk3 @ sk2 ) ),
inference(pattern_uni,[status(thm)],[12075:[bind(A,$thf( sk3 ))]]) ).
thf(12235,plain,
! [A: $i] :
( ~ ( subset @ A @ empty_set )
| ~ ( subset @ sk3 @ sk2 )
| ( A != sk2 ) ),
inference(paramod_ordered,[status(thm)],[466,12076]) ).
thf(12236,plain,
( ~ ( subset @ sk2 @ empty_set )
| ~ ( subset @ sk3 @ sk2 ) ),
inference(pattern_uni,[status(thm)],[12235:[bind(A,$thf( sk2 ))]]) ).
thf(12304,plain,
! [B: $i,A: $i] :
( ( member @ ( sk6 @ B @ A ) @ A )
| ~ ( subset @ sk3 @ sk2 )
| ( ( subset @ A @ B )
!= ( subset @ sk2 @ empty_set ) ) ),
inference(paramod_ordered,[status(thm)],[52,12236]) ).
thf(12305,plain,
( ( member @ ( sk6 @ empty_set @ sk2 ) @ sk2 )
| ~ ( subset @ sk3 @ sk2 ) ),
inference(pattern_uni,[status(thm)],[12304:[bind(A,$thf( sk2 )),bind(B,$thf( empty_set ))]]) ).
thf(12964,plain,
! [B: $i,A: $i] :
( ~ ( subset @ sk3 @ sk2 )
| ~ ( empty @ A )
| ( ( member @ ( sk6 @ empty_set @ sk2 ) @ sk2 )
!= ( member @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[12305,59]) ).
thf(12965,plain,
( ~ ( subset @ sk3 @ sk2 )
| ~ ( empty @ sk2 ) ),
inference(pattern_uni,[status(thm)],[12964:[bind(A,$thf( sk2 )),bind(B,$thf( sk6 @ empty_set @ sk2 ))]]) ).
thf(13156,plain,
! [B: $i,A: $i] :
( ~ ( member @ ( sk6 @ B @ A ) @ B )
| ~ ( empty @ sk2 )
| ( ( subset @ A @ B )
!= ( subset @ sk3 @ sk2 ) ) ),
inference(paramod_ordered,[status(thm)],[53,12965]) ).
thf(13157,plain,
( ~ ( member @ ( sk6 @ sk2 @ sk3 ) @ sk2 )
| ~ ( empty @ sk2 ) ),
inference(pattern_uni,[status(thm)],[13156:[bind(A,$thf( sk3 )),bind(B,$thf( sk2 ))]]) ).
thf(18811,plain,
( ~ ( member @ ( sk6 @ sk2 @ sk3 ) @ sk2 )
| ~ $true ),
inference(rewrite,[status(thm)],[13157,18796]) ).
thf(18812,plain,
~ ( member @ ( sk6 @ sk2 @ sk3 ) @ sk2 ),
inference(simp,[status(thm)],[18811]) ).
thf(9621,plain,
! [B: $i,A: $i] :
( ~ ( subset @ A @ empty_set )
| ( subset @ sk2 @ B )
| ( A != sk2 ) ),
inference(paramod_ordered,[status(thm)],[466,9290]) ).
thf(9622,plain,
! [A: $i] :
( ~ ( subset @ sk2 @ empty_set )
| ( subset @ sk2 @ A ) ),
inference(pattern_uni,[status(thm)],[9621:[bind(A,$thf( sk2 ))]]) ).
thf(9681,plain,
! [A: $i] :
( ~ ( subset @ sk2 @ empty_set )
| ( subset @ sk2 @ A ) ),
inference(simp,[status(thm)],[9622]) ).
thf(10377,plain,
! [C: $i,B: $i,A: $i] :
( ( member @ ( sk6 @ B @ A ) @ A )
| ( subset @ sk2 @ C )
| ( ( subset @ A @ B )
!= ( subset @ sk2 @ empty_set ) ) ),
inference(paramod_ordered,[status(thm)],[52,9681]) ).
thf(10378,plain,
! [A: $i] :
( ( member @ ( sk6 @ empty_set @ sk2 ) @ sk2 )
| ( subset @ sk2 @ A ) ),
inference(pattern_uni,[status(thm)],[10377:[bind(A,$thf( sk2 )),bind(B,$thf( empty_set ))]]) ).
thf(10517,plain,
! [A: $i] :
( ( member @ ( sk6 @ empty_set @ sk2 ) @ sk2 )
| ( subset @ sk2 @ A ) ),
inference(simp,[status(thm)],[10378]) ).
thf(15314,plain,
! [C: $i,B: $i,A: $i] :
( ( subset @ sk2 @ A )
| ~ ( empty @ B )
| ( ( member @ ( sk6 @ empty_set @ sk2 ) @ sk2 )
!= ( member @ C @ B ) ) ),
inference(paramod_ordered,[status(thm)],[10517,59]) ).
thf(15315,plain,
! [A: $i] :
( ( subset @ sk2 @ A )
| ~ ( empty @ sk2 ) ),
inference(pattern_uni,[status(thm)],[15314:[bind(A,$thf( A )),bind(B,$thf( sk2 )),bind(C,$thf( sk6 @ empty_set @ sk2 ))]]) ).
thf(15625,plain,
! [B: $i,A: $i] :
( ~ ( empty @ sk2 )
| ( empty_set = B )
| ( ( subset @ sk2 @ A )
!= ( subset @ B @ empty_set ) ) ),
inference(paramod_ordered,[status(thm)],[15315,466]) ).
thf(15626,plain,
( ~ ( empty @ sk2 )
| ( sk2 = empty_set ) ),
inference(pattern_uni,[status(thm)],[15625:[bind(A,$thf( empty_set )),bind(B,$thf( sk2 ))]]) ).
thf(18816,plain,
( ~ $true
| ( sk2 = empty_set ) ),
inference(rewrite,[status(thm)],[15626,18796]) ).
thf(18817,plain,
sk2 = empty_set,
inference(simp,[status(thm)],[18816]) ).
thf(19154,plain,
~ ( member @ ( sk6 @ empty_set @ sk3 ) @ empty_set ),
inference(rewrite,[status(thm)],[18812,18817]) ).
thf(20175,plain,
$false,
inference(rewrite,[status(thm)],[20006,19154]) ).
thf(20176,plain,
$false,
inference(simp,[status(thm)],[20175]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : SET600+3 : TPTP v8.2.0. Released v2.2.0.
% 0.09/0.14 % 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 : Mon May 20 11:31:39 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.91/0.89 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.24/1.01 % [INFO] Parsing done (117ms).
% 1.24/1.02 % [INFO] Running in sequential loop mode.
% 1.68/1.25 % [INFO] nitpick registered as external prover.
% 1.68/1.26 % [INFO] Scanning for conjecture ...
% 1.88/1.34 % [INFO] Found a conjecture (or negated_conjecture) and 8 axioms. Running axiom selection ...
% 1.93/1.36 % [INFO] Axiom selection finished. Selected 8 axioms (removed 0 axioms).
% 1.93/1.38 % [INFO] Problem is first-order (TPTP FOF).
% 1.93/1.39 % [INFO] Type checking passed.
% 1.93/1.39 % [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 ...
% 68.50/10.72 % [INFO] Killing All external provers ...
% 68.50/10.72 % Time passed: 10213ms (effective reasoning time: 9699ms)
% 68.50/10.72 % 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)>
% 68.50/10.73 % Axioms used in derivation (6): empty_set_defn, empty_defn, commutativity_of_union, equal_defn, union_defn, subset_defn
% 68.50/10.73 % No. of inferences in proof: 185
% 68.50/10.73 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 10213 ms resp. 9699 ms w/o parsing
% 68.50/10.78 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 68.50/10.79 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------