TSTP Solution File: DAT213^1 by Leo-III---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : DAT213^1 : TPTP v8.1.2. Released v7.0.0.
% 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 : Tue May 7 07:39:46 EDT 2024
% Result : Theorem 6.90s 2.52s
% Output : Refutation 7.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 39
% Syntax : Number of formulae : 64 ( 28 unt; 16 typ; 0 def)
% Number of atoms : 116 ( 42 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 679 ( 14 ~; 0 |; 8 &; 617 @)
% ( 0 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 62 ( 62 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 6 con; 0-5 aty)
% Number of variables : 210 ( 6 ^ 184 !; 8 ?; 210 :)
% ( 12 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(real_type,type,
real: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(a_type,type,
a: $tType ).
thf(collect_type,type,
collect:
!>[TA: $tType] : ( ( TA > $o ) > ( set @ TA ) ) ).
thf(linorder_bst_type,type,
linorder_bst:
!>[TA: $tType] : ( ( tree @ TA ) > $o ) ).
thf(mirror_type,type,
mirror:
!>[TA: $tType] : ( ( tree @ TA ) > ( tree @ TA ) ) ).
thf(subtrees_type,type,
subtrees:
!>[TA: $tType] : ( ( tree @ TA ) > ( set @ ( tree @ TA ) ) ) ).
thf(node_type,type,
node:
!>[TA: $tType] : ( ( tree @ TA ) > TA > ( tree @ TA ) > ( tree @ TA ) ) ).
thf(case_tree_type,type,
case_tree:
!>[TA: $tType,TB: $tType] : ( TB > ( ( tree @ TA ) > TA > ( tree @ TA ) > TB ) > ( tree @ TA ) > TB ) ).
thf(pred_tree_type,type,
pred_tree:
!>[TA: $tType] : ( ( TA > $o ) > ( tree @ TA ) > $o ) ).
thf(rec_tree_type,type,
rec_tree:
!>[TA: $tType,TB: $tType] : ( TB > ( ( tree @ TA ) > TA > ( tree @ TA ) > TB > TB > TB ) > ( tree @ TA ) > TB ) ).
thf(set_tree_type,type,
set_tree:
!>[TA: $tType] : ( ( tree @ TA ) > ( set @ TA ) ) ).
thf(member_type,type,
member:
!>[TA: $tType] : ( TA > ( set @ TA ) > $o ) ).
thf(a2_type,type,
a2: a ).
thf(t_type,type,
t: tree @ a ).
thf(thesis_type,type,
thesis: $o ).
thf(23,axiom,
! [TA: $tType,A: TA,B: tree @ TA,C: tree @ TA] : ( member @ TA @ A @ ( set_tree @ TA @ ( node @ TA @ B @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_tree_Oset__intros_I2_J) ).
thf(88,plain,
! [TA: $tType,A: TA,B: tree @ TA,C: tree @ TA] : ( member @ TA @ A @ ( set_tree @ TA @ ( node @ TA @ B @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(12,axiom,
! [TA: $tType,A: TA,B: tree @ TA] :
( ( member @ TA @ A @ ( set_tree @ TA @ B ) )
=> ( ! [C: tree @ TA] :
( ? [D: TA,E: tree @ TA] :
( B
= ( node @ TA @ C @ D @ E ) )
=> ~ ( member @ TA @ A @ ( set_tree @ TA @ C ) ) )
=> ( ! [C: tree @ TA,D: tree @ TA] :
( B
!= ( node @ TA @ C @ A @ D ) )
=> ~ ! [C: tree @ TA,D: TA,E: tree @ TA] :
( ( B
= ( node @ TA @ C @ D @ E ) )
=> ~ ( member @ TA @ A @ ( set_tree @ TA @ E ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_tree_Oset__cases) ).
thf(56,plain,
! [TA: $tType,A: TA,B: tree @ TA] :
( ( member @ TA @ A @ ( set_tree @ TA @ B ) )
=> ( ! [C: tree @ TA] :
( ? [D: TA,E: tree @ TA] :
( B
= ( node @ TA @ C @ D @ E ) )
=> ~ ( member @ TA @ A @ ( set_tree @ TA @ C ) ) )
=> ( ! [C: tree @ TA,D: tree @ TA] :
( B
!= ( node @ TA @ C @ A @ D ) )
=> ~ ! [C: tree @ TA,D: TA,E: tree @ TA] :
( ( B
= ( node @ TA @ C @ D @ E ) )
=> ~ ( member @ TA @ A @ ( set_tree @ TA @ E ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(21,axiom,
! [TA: $tType,A: tree @ TA,B: TA,C: tree @ TA,D: tree @ TA] :
( ( member @ ( tree @ TA ) @ ( node @ TA @ A @ B @ C ) @ ( subtrees @ TA @ D ) )
=> ( member @ TA @ B @ ( set_tree @ TA @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_in__set__tree__if) ).
thf(85,plain,
! [TA: $tType,A: tree @ TA,B: TA,C: tree @ TA,D: tree @ TA] :
( ( member @ ( tree @ TA ) @ ( node @ TA @ A @ B @ C ) @ ( subtrees @ TA @ D ) )
=> ( member @ TA @ B @ ( set_tree @ TA @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(15,axiom,
! [TA: $tType,A: TA,B: tree @ TA,C: tree @ TA,D: tree @ TA] :
( ~ ( member @ TA @ A @ ( set_tree @ TA @ B ) )
=> ~ ( member @ ( tree @ TA ) @ ( node @ TA @ C @ A @ D ) @ ( subtrees @ TA @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_Node__notin__subtrees__if) ).
thf(70,plain,
! [TA: $tType,A: TA,B: tree @ TA,C: tree @ TA,D: tree @ TA] :
( ~ ( member @ TA @ A @ ( set_tree @ TA @ B ) )
=> ~ ( member @ ( tree @ TA ) @ ( node @ TA @ C @ A @ D ) @ ( subtrees @ TA @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(13,axiom,
! [TA: $tType,A: tree @ TA,B: TA,C: tree @ TA] :
( ( mirror @ TA @ ( node @ TA @ A @ B @ C ) )
= ( node @ TA @ ( mirror @ TA @ C ) @ B @ ( mirror @ TA @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_23_mirror_Osimps_I2_J) ).
thf(65,plain,
! [TA: $tType,A: tree @ TA,B: TA,C: tree @ TA] :
( ( mirror @ TA @ ( node @ TA @ A @ B @ C ) )
= ( node @ TA @ ( mirror @ TA @ C ) @ B @ ( mirror @ TA @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(11,axiom,
! [TA: $tType,TB: $tType,A: TB,B: ( tree @ TA ) > TA > ( tree @ TA ) > TB > TB > TB,C: tree @ TA,D: TA,E: tree @ TA] :
( ( rec_tree @ TB @ TA @ A @ B @ ( node @ TA @ C @ D @ E ) )
= ( B @ C @ D @ E @ ( rec_tree @ TB @ TA @ A @ B @ C ) @ ( rec_tree @ TB @ TA @ A @ B @ E ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_tree_Osimps_I7_J) ).
thf(53,plain,
! [TA: $tType,TB: $tType,A: TB,B: ( tree @ TA ) > TA > ( tree @ TA ) > TB > TB > TB,C: tree @ TA,D: TA,E: tree @ TA] :
( ( rec_tree @ TB @ TA @ A @ B @ ( node @ TA @ C @ D @ E ) )
= ( B @ C @ D @ E @ ( rec_tree @ TB @ TA @ A @ B @ C ) @ ( rec_tree @ TB @ TA @ A @ B @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(18,axiom,
! [TA: $tType,TB: $tType,A: TB,B: ( tree @ TA ) > TA > ( tree @ TA ) > TB,C: tree @ TA,D: TA,E: tree @ TA] :
( ( case_tree @ TB @ TA @ A @ B @ ( node @ TA @ C @ D @ E ) )
= ( B @ C @ D @ E ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_tree_Osimps_I5_J) ).
thf(77,plain,
! [TA: $tType,TB: $tType,A: TB,B: ( tree @ TA ) > TA > ( tree @ TA ) > TB,C: tree @ TA,D: TA,E: tree @ TA] :
( ( case_tree @ TB @ TA @ A @ B @ ( node @ TA @ C @ D @ E ) )
= ( B @ C @ D @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(5,axiom,
! [TA: $tType,A: TA > $o,B: TA > $o] :
( ! [C: TA] :
( ( A @ C )
= ( B @ C ) )
=> ( ( collect @ TA @ A )
= ( collect @ TA @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_46_Collect__cong) ).
thf(32,plain,
! [TA: $tType,A: TA > $o,B: TA > $o] :
( ! [C: TA] :
( ( A @ C )
= ( B @ C ) )
=> ( ( collect @ TA @ A )
= ( collect @ TA @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(10,axiom,
! [TA: $tType,A: TA,B: TA > $o] :
( ( member @ TA @ A @ ( collect @ TA @ B ) )
= ( B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_44_mem__Collect__eq) ).
thf(50,plain,
! [TA: $tType,A: TA,B: TA > $o] :
( ( member @ TA @ A @ ( collect @ TA @ B ) )
= ( B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(16,axiom,
! [TA: $tType,A: tree @ TA,B: TA,C: tree @ TA,D: tree @ TA,E: TA,F: tree @ TA] :
( ( ( node @ TA @ A @ B @ C )
= ( node @ TA @ D @ E @ F ) )
= ( ( A = D )
& ( B = E )
& ( C = F ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_tree_Oinject) ).
thf(72,plain,
! [TA: $tType,A: tree @ TA,B: TA,C: tree @ TA,D: tree @ TA,E: TA,F: tree @ TA] :
( ( ( node @ TA @ A @ B @ C )
= ( node @ TA @ D @ E @ F ) )
= ( ( A = D )
& ( B = E )
& ( C = F ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(22,axiom,
member @ a @ a2 @ ( set_tree @ a @ t ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_assms_I2_J) ).
thf(87,plain,
member @ a @ a2 @ ( set_tree @ a @ t ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(3,axiom,
! [TA: $tType,A: tree @ TA] :
( ( mirror @ TA @ ( mirror @ TA @ A ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_26_mirror__mirror) ).
thf(26,plain,
! [TA: $tType,A: tree @ TA] :
( ( mirror @ TA @ ( mirror @ TA @ A ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(17,axiom,
! [TA: $tType,A: TA,B: tree @ TA] :
( ( member @ TA @ A @ ( set_tree @ TA @ B ) )
=> ? [C: tree @ TA,D: tree @ TA] : ( member @ ( tree @ TA ) @ ( node @ TA @ C @ A @ D ) @ ( subtrees @ TA @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_set__treeE) ).
thf(75,plain,
! [TA: $tType,A: TA,B: tree @ TA] :
( ( member @ TA @ A @ ( set_tree @ TA @ B ) )
=> ? [C: tree @ TA,D: tree @ TA] : ( member @ ( tree @ TA ) @ ( node @ TA @ C @ A @ D ) @ ( subtrees @ TA @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(7,axiom,
! [TA: $tType,A: TA > $o,B: tree @ TA,C: TA > $o] :
( ( pred_tree @ TA @ A @ B )
=> ( ! [D: TA] :
( ( member @ TA @ D @ ( set_tree @ TA @ B ) )
=> ( ( A @ D )
=> ( C @ D ) ) )
=> ( pred_tree @ TA @ C @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_15_tree_Opred__mono__strong) ).
thf(42,plain,
! [TA: $tType,A: TA > $o,B: tree @ TA,C: TA > $o] :
( ( pred_tree @ TA @ A @ B )
=> ( ! [D: TA] :
( ( member @ TA @ D @ ( set_tree @ TA @ B ) )
=> ( ( A @ D )
=> ( C @ D ) ) )
=> ( pred_tree @ TA @ C @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(1,conjecture,
thesis,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
thf(2,negated_conjecture,
~ thesis,
inference(neg_conjecture,[status(cth)],[1]) ).
thf(25,plain,
~ thesis,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(8,axiom,
linorder_bst @ a @ t,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_assms_I1_J) ).
thf(46,plain,
linorder_bst @ a @ t,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(4,axiom,
! [TA: $tType] :
( ( pred_tree @ TA )
= ( ^ [A: TA > $o,B: tree @ TA] :
! [C: TA] :
( ( member @ TA @ C @ ( set_tree @ TA @ B ) )
=> ( A @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_tree_Opred__set) ).
thf(29,plain,
! [TA: $tType] :
( ( pred_tree @ TA )
= ( ^ [A: TA > $o,B: tree @ TA] :
! [C: TA] :
( ( member @ TA @ C @ ( set_tree @ TA @ B ) )
=> ( A @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(19,axiom,
! [TA: $tType,A: set @ TA] :
( ( collect @ TA
@ ^ [B: TA] : ( member @ TA @ B @ A ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_45_Collect__mem__eq) ).
thf(80,plain,
! [TA: $tType,A: set @ TA] :
( ( collect @ TA
@ ^ [B: TA] : ( member @ TA @ B @ A ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(6,axiom,
! [TA: $tType,A: tree @ TA,B: tree @ TA,C: TA > $o,D: TA > $o] :
( ( A = B )
=> ( ! [E: TA] :
( ( member @ TA @ E @ ( set_tree @ TA @ B ) )
=> ( ( C @ E )
= ( D @ E ) ) )
=> ( ( pred_tree @ TA @ C @ A )
= ( pred_tree @ TA @ D @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_tree_Opred__cong) ).
thf(35,plain,
! [TA: $tType,A: tree @ TA,B: tree @ TA,C: TA > $o,D: TA > $o] :
( ( A = B )
=> ( ! [E: TA] :
( ( member @ TA @ E @ ( set_tree @ TA @ B ) )
=> ( ( C @ E )
= ( D @ E ) ) )
=> ( ( pred_tree @ TA @ C @ A )
= ( pred_tree @ TA @ D @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(9,axiom,
! [TA: $tType,A: TA > $o,B: tree @ TA,C: TA,D: tree @ TA] :
( ( pred_tree @ TA @ A @ ( node @ TA @ B @ C @ D ) )
= ( ( pred_tree @ TA @ A @ B )
& ( A @ C )
& ( pred_tree @ TA @ A @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_tree_Opred__inject_I2_J) ).
thf(47,plain,
! [TA: $tType,A: TA > $o,B: tree @ TA,C: TA,D: tree @ TA] :
( ( pred_tree @ TA @ A @ ( node @ TA @ B @ C @ D ) )
= ( ( pred_tree @ TA @ A @ B )
& ( A @ C )
& ( pred_tree @ TA @ A @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(14,axiom,
! [TA: $tType,A: TA,B: tree @ TA,C: tree @ TA,D: TA] :
( ( member @ TA @ A @ ( set_tree @ TA @ B ) )
=> ( member @ TA @ A @ ( set_tree @ TA @ ( node @ TA @ C @ D @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_tree_Oset__intros_I3_J) ).
thf(68,plain,
! [TA: $tType,A: TA,B: tree @ TA,C: tree @ TA,D: TA] :
( ( member @ TA @ A @ ( set_tree @ TA @ B ) )
=> ( member @ TA @ A @ ( set_tree @ TA @ ( node @ TA @ C @ D @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(24,axiom,
! [A: tree @ a,B: tree @ a] :
( ( member @ ( tree @ a ) @ ( node @ a @ A @ a2 @ B ) @ ( subtrees @ a @ t ) )
=> thesis ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(90,plain,
! [A: tree @ a,B: tree @ a] :
( ( member @ ( tree @ a ) @ ( node @ a @ A @ a2 @ B ) @ ( subtrees @ a @ t ) )
=> thesis ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(20,axiom,
! [TA: $tType,A: TA,B: tree @ TA,C: TA,D: tree @ TA] :
( ( member @ TA @ A @ ( set_tree @ TA @ B ) )
=> ( member @ TA @ A @ ( set_tree @ TA @ ( node @ TA @ B @ C @ D ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_tree_Oset__intros_I1_J) ).
thf(83,plain,
! [TA: $tType,A: TA,B: tree @ TA,C: TA,D: tree @ TA] :
( ( member @ TA @ A @ ( set_tree @ TA @ B ) )
=> ( member @ TA @ A @ ( set_tree @ TA @ ( node @ TA @ B @ C @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(93,plain,
$false,
inference(e,[status(thm)],[88,56,85,70,65,53,77,32,50,72,87,26,75,42,25,46,29,80,35,47,68,90,83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : DAT213^1 : TPTP v8.1.2. Released v7.0.0.
% 0.08/0.16 % Command : run_Leo-III %s %d
% 0.17/0.38 % Computer : n027.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Mon May 6 11:29:24 EDT 2024
% 0.17/0.38 % CPUTime :
% 0.98/0.88 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.77/1.15 % [INFO] Parsing done (260ms).
% 2.03/1.15 % [INFO] Running in sequential loop mode.
% 2.74/1.37 % [INFO] eprover registered as external prover.
% 2.74/1.37 % [INFO] cvc4 registered as external prover.
% 2.74/1.38 % [INFO] Scanning for conjecture ...
% 2.93/1.47 % [INFO] Found a conjecture and 307 axioms. Running axiom selection ...
% 3.01/1.53 % [INFO] Axiom selection finished. Selected 22 axioms (removed 285 axioms).
% 3.32/1.59 % [INFO] Problem is higher-order (TPTP THF).
% 3.32/1.60 % [INFO] Type checking passed.
% 3.32/1.60 % [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 ...
% 6.90/2.52 % External prover 'e' found a proof!
% 6.90/2.52 % [INFO] Killing All external provers ...
% 6.90/2.52 % Time passed: 1966ms (effective reasoning time: 1359ms)
% 6.90/2.52 % 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)>
% 6.90/2.52 % Axioms used in derivation (22): fact_13_tree_Osimps_I5_J, fact_0_assms_I2_J, fact_15_tree_Opred__mono__strong, fact_11_tree_Opred__inject_I2_J, fact_1_assms_I1_J, fact_26_mirror__mirror, fact_10_tree_Osimps_I7_J, fact_45_Collect__mem__eq, fact_7_tree_Oset__intros_I2_J, fact_2_tree_Oinject, fact_8_tree_Oset__intros_I1_J, fact_4_in__set__tree__if, fact_18_tree_Opred__set, fact_9_tree_Oset__cases, fact_3_set__treeE, fact_23_mirror_Osimps_I2_J, fact_6_tree_Oset__intros_I3_J, fact_5_Node__notin__subtrees__if, conj_0, fact_46_Collect__cong, fact_44_mem__Collect__eq, fact_14_tree_Opred__cong
% 6.90/2.52 % No. of inferences in proof: 48
% 6.90/2.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1966 ms resp. 1359 ms w/o parsing
% 7.14/2.56 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.14/2.56 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------