%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : DAT213^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n019.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 : Wed Sep 30 07:48:08 AM UTC 2026
% Result : Theorem 11.91s 4.32s
% Output : Refutation 12.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 23
% Syntax : Number of formulae : 48 ( 28 unt; 0 typ; 0 def)
% Number of atoms : 116 ( 42 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 658 ( 14 ~; 0 |; 8 &; 596 @)
% ( 0 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 34 ( 34 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 6 con; 0-5 aty)
% Number of variables : 198 ( 6 ^; 184 !; 8 ?; 198 :)
% Comments :
%------------------------------------------------------------------------------
thf(real_type,type,
real: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(a_type,type,
a: $tType ).
thf(collect_decl,type,
collect:
!>[TA: $tType] : ( ( TA > $o ) > ( set @ TA ) ) ).
thf(linorder_bst_decl,type,
linorder_bst:
!>[TA: $tType] : ( ( tree @ TA ) > $o ) ).
thf(mirror_decl,type,
mirror:
!>[TA: $tType] : ( ( tree @ TA ) > ( tree @ TA ) ) ).
thf(subtrees_decl,type,
subtrees:
!>[TA: $tType] : ( ( tree @ TA ) > ( set @ ( tree @ TA ) ) ) ).
thf(node_decl,type,
node:
!>[TA: $tType] : ( ( tree @ TA ) > TA > ( tree @ TA ) > ( tree @ TA ) ) ).
thf(case_tree_decl,type,
case_tree:
!>[TA: $tType,TB: $tType] : ( TB > ( ( tree @ TA ) > TA > ( tree @ TA ) > TB ) > ( tree @ TA ) > TB ) ).
thf(pred_tree_decl,type,
pred_tree:
!>[TA: $tType] : ( ( TA > $o ) > ( tree @ TA ) > $o ) ).
thf(rec_tree_decl,type,
rec_tree:
!>[TA: $tType,TB: $tType] : ( TB > ( ( tree @ TA ) > TA > ( tree @ TA ) > TB > TB > TB ) > ( tree @ TA ) > TB ) ).
thf(set_tree_decl,type,
set_tree:
!>[TA: $tType] : ( ( tree @ TA ) > ( set @ TA ) ) ).
thf(member_decl,type,
member:
!>[TA: $tType] : ( TA > ( set @ TA ) > $o ) ).
thf(a2_decl,type,
a2: a ).
thf(t_decl,type,
t: tree @ a ).
thf(thesis_decl,type,
thesis: $o ).
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(88,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(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(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(52,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(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(73,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(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(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(91,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(8,axiom,
linorder_bst @ a @ t,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_assms_I1_J) ).
thf(48,plain,
linorder_bst @ a @ t,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
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(43,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(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(68,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(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(93,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(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(78,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(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(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(71,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(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(49,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(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(86,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(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(80,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(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(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(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(55,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(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(75,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(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(58,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(22,axiom,
member @ a @ a2 @ ( set_tree @ a @ t ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_assms_I2_J) ).
thf(90,plain,
member @ a @ a2 @ ( set_tree @ a @ t ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
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(83,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(98,plain,
$false,
inference(e,[status(thm)],[88,25,52,73,32,91,48,43,68,93,78,29,71,49,86,80,35,26,55,75,58,90,83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT213^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.23/0.28 % Computer : n019.cluster.edu
% 0.23/0.28 % Model : x86_64 x86_64
% 0.23/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.28 % Memory : 8046.5625MB
% 0.23/0.28 % OS : Linux 6.8.0-71-generic
% 0.23/0.28 % CPULimit : 300
% 0.23/0.28 % WCLimit : 300
% 0.23/0.28 % DateTime : Tue Sep 29 18:09:33 UTC 2026
% 0.23/0.28 % CPUTime :
% 0.23/0.28 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 1.12/0.98 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 2.60/1.45 % [INFO] Parsing done (466ms).
% 2.60/1.47 % [INFO] Running in sequential loop mode.
% 4.92/2.04 % [INFO] eprover registered as external prover.
% 4.92/2.05 % [INFO] Scanning for conjecture ...
% 5.26/2.26 % [INFO] Found a conjecture (or negated_conjecture) and 307 axioms. Running axiom selection ...
% 5.71/2.40 % [INFO] Axiom selection finished. Selected 22 axioms (removed 285 axioms).
% 6.01/2.53 % [INFO] Problem is higher-order (TPTP THF).
% 6.01/2.55 % [INFO] Type checking passed.
% 6.01/2.56 % [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 ...
% 11.91/4.31 % External prover 'e' found a proof!
% 11.91/4.32 % [INFO] Killing All external provers ...
% 11.91/4.32 % Time passed: 3865ms (effective reasoning time: 2831ms)
% 11.91/4.32 % 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)>
% 11.91/4.32 % 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
% 11.91/4.32 % No. of inferences in proof: 48
% 11.91/4.32 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 3865 ms resp. 2831 ms w/o parsing
% 12.35/4.42 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 12.35/4.42 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------