%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : ITP004^2 : TPTP v9.3.1. Bugfixed v7.5.0.
% 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 : n009.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 08:06:16 AM UTC 2026
% Result : Theorem 79.10s 16.58s
% Output : Refutation 66.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 26
% Syntax : Number of formulae : 54 ( 25 unt; 0 typ; 0 def)
% Number of atoms : 149 ( 30 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 602 ( 6 ~; 0 |; 4 &; 533 @)
% ( 0 <=>; 59 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 5 con; 0-2 aty)
% Number of variables : 100 ( 0 ^; 100 !; 0 ?; 100 :)
% Comments :
%------------------------------------------------------------------------------
thf(del_type,type,
del: $tType ).
thf(bool_decl,type,
bool: del ).
thf(arr_decl,type,
arr: del > del > del ).
thf(mem_decl,type,
mem: $i > del > $o ).
thf(ap_decl,type,
ap: $i > $i > $i ).
thf(lam_decl,type,
lam: del > ( $i > $i ) > $i ).
thf(p_decl,type,
p: $i > $o ).
thf(inj__o_decl,type,
inj__o: $o > $i ).
thf(c_2Emin_2E_3D_3D_3E_decl,type,
c_2Emin_2E_3D_3D_3E: $i ).
thf(c_2Epred__set_2ESUBSET_decl,type,
c_2Epred__set_2ESUBSET: del > $i ).
thf(c_2Ebool_2E_7E_decl,type,
c_2Ebool_2E_7E: $i ).
thf(c_2Ebool_2E_2F_5C_decl,type,
c_2Ebool_2E_2F_5C: $i ).
thf(c_2Ebool_2EIN_decl,type,
c_2Ebool_2EIN: del > $i ).
thf(c_2Epred__set_2ECHOICE_decl,type,
c_2Epred__set_2ECHOICE: del > $i ).
thf(c_2Epred__set_2EDELETE_decl,type,
c_2Epred__set_2EDELETE: del > $i ).
thf(c_2Epred__set_2EREST_decl,type,
c_2Epred__set_2EREST: del > $i ).
thf(c_2Emin_2E_3D_decl,type,
c_2Emin_2E_3D: del > $i ).
thf(c_2Ebool_2E_21_decl,type,
c_2Ebool_2E_21: del > $i ).
thf(24,axiom,
! [A: del,B: $i] :
( ( mem @ B @ ( arr @ A @ bool ) )
=> ( ( p @ ( ap @ ( c_2Ebool_2E_21 @ A ) @ B ) )
= ( ! [C: $i] :
( ( mem @ C @ A )
=> ( p @ ( ap @ B @ C ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_all_p) ).
thf(88,plain,
! [A: del,B: $i] :
( ( mem @ B @ ( arr @ A @ bool ) )
=> ( ( p @ ( ap @ ( c_2Ebool_2E_21 @ A ) @ B ) )
= ( ! [C: $i] :
( ( mem @ C @ A )
=> ( p @ ( ap @ B @ C ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(5,axiom,
! [A: del,B: $i] :
( ( mem @ B @ ( arr @ A @ bool ) )
=> ! [C: $i] :
( ( mem @ C @ A )
=> ! [D: $i] :
( ( mem @ D @ A )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A ) @ C ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A ) @ B ) @ D ) ) )
= ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A ) @ C ) @ B ) )
& ( C != D ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Epred__set_2EIN__DELETE) ).
thf(37,plain,
! [A: del,B: $i] :
( ( mem @ B @ ( arr @ A @ bool ) )
=> ! [C: $i] :
( ( mem @ C @ A )
=> ! [D: $i] :
( ( mem @ D @ A )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A ) @ C ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A ) @ B ) @ D ) ) )
= ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A ) @ C ) @ B ) )
& ( C != D ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(12,axiom,
! [A: del] : ( mem @ ( c_2Emin_2E_3D @ A ) @ ( arr @ A @ ( arr @ A @ bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Emin_2E_3D) ).
thf(52,plain,
! [A: del] : ( mem @ ( c_2Emin_2E_3D @ A ) @ ( arr @ A @ ( arr @ A @ bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(15,axiom,
! [A: del,B: $i > $i,C: $i] :
( ( mem @ C @ A )
=> ( ( ap @ ( lam @ A @ B ) @ C )
= ( B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',beta) ).
thf(61,plain,
! [A: del,B: $i > $i,C: $i] :
( ( mem @ C @ A )
=> ( ( ap @ ( lam @ A @ B ) @ C )
= ( B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(27,axiom,
! [A: del,B: $i] :
( ( mem @ B @ ( arr @ A @ bool ) )
=> ( ( ap @ ( c_2Epred__set_2EREST @ A ) @ B )
= ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A ) @ B ) @ ( ap @ ( c_2Epred__set_2ECHOICE @ A ) @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Epred__set_2EREST__DEF) ).
thf(96,plain,
! [A: del,B: $i] :
( ( mem @ B @ ( arr @ A @ bool ) )
=> ( ( ap @ ( c_2Epred__set_2EREST @ A ) @ B )
= ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A ) @ B ) @ ( ap @ ( c_2Epred__set_2ECHOICE @ A ) @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(8,axiom,
! [A: del] : ( mem @ ( c_2Epred__set_2ESUBSET @ A ) @ ( arr @ ( arr @ A @ bool ) @ ( arr @ ( arr @ A @ bool ) @ bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Epred__set_2ESUBSET) ).
thf(44,plain,
! [A: del] : ( mem @ ( c_2Epred__set_2ESUBSET @ A ) @ ( arr @ ( arr @ A @ bool ) @ ( arr @ ( arr @ A @ bool ) @ bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(19,axiom,
! [A: del] : ( mem @ ( c_2Epred__set_2EREST @ A ) @ ( arr @ ( arr @ A @ bool ) @ ( arr @ A @ bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Epred__set_2EREST) ).
thf(76,plain,
! [A: del] : ( mem @ ( c_2Epred__set_2EREST @ A ) @ ( arr @ ( arr @ A @ bool ) @ ( arr @ A @ bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(25,axiom,
! [A: del] : ( mem @ ( c_2Epred__set_2EDELETE @ A ) @ ( arr @ ( arr @ A @ bool ) @ ( arr @ A @ ( arr @ A @ bool ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Epred__set_2EDELETE) ).
thf(91,plain,
! [A: del] : ( mem @ ( c_2Epred__set_2EDELETE @ A ) @ ( arr @ ( arr @ A @ bool ) @ ( arr @ A @ ( arr @ A @ bool ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(10,axiom,
! [A: $i] :
( ( mem @ A @ bool )
=> ! [B: $i] :
( ( mem @ B @ bool )
=> ( ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ A ) @ B ) )
= ( ( p @ A )
& ( p @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_and_p) ).
thf(48,plain,
! [A: $i] :
( ( mem @ A @ bool )
=> ! [B: $i] :
( ( mem @ B @ bool )
=> ( ( p @ ( ap @ ( ap @ c_2Ebool_2E_2F_5C @ A ) @ B ) )
= ( ( p @ A )
& ( p @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(7,axiom,
mem @ c_2Ebool_2E_2F_5C @ ( arr @ bool @ ( arr @ bool @ bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2E_2F_5C) ).
thf(43,plain,
mem @ c_2Ebool_2E_2F_5C @ ( arr @ bool @ ( arr @ bool @ bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(6,axiom,
! [A: $i] :
( ( mem @ A @ bool )
=> ( A
= ( inj__o @ ( p @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_iso_mem_o) ).
thf(40,plain,
! [A: $i] :
( ( mem @ A @ bool )
=> ( A
= ( inj__o @ ( p @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(14,axiom,
! [A: $i] :
( ( mem @ A @ bool )
=> ( ( p @ ( ap @ c_2Ebool_2E_7E @ A ) )
= ( ~ ( p @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_neg_p) ).
thf(58,plain,
! [A: $i] :
( ( mem @ A @ bool )
=> ( ( p @ ( ap @ c_2Ebool_2E_7E @ A ) )
= ( ~ ( p @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(11,axiom,
mem @ c_2Ebool_2E_7E @ ( arr @ bool @ bool ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2E_7E) ).
thf(51,plain,
mem @ c_2Ebool_2E_7E @ ( arr @ bool @ bool ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(22,axiom,
! [A: $o] : ( mem @ ( inj__o @ A ) @ bool ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_inj_mem_o) ).
thf(83,plain,
! [A: $o] : ( mem @ ( inj__o @ A ) @ bool ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(9,axiom,
! [A: del] : ( mem @ ( c_2Ebool_2E_21 @ A ) @ ( arr @ ( arr @ A @ bool ) @ bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2E_21) ).
thf(46,plain,
! [A: del] : ( mem @ ( c_2Ebool_2E_21 @ A ) @ ( arr @ ( arr @ A @ bool ) @ bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(26,axiom,
! [A: $i] :
( ( mem @ A @ bool )
=> ! [B: $i] :
( ( mem @ B @ bool )
=> ( ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ A ) @ B ) )
= ( ( p @ A )
=> ( p @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_imp_p) ).
thf(93,plain,
! [A: $i] :
( ( mem @ A @ bool )
=> ! [B: $i] :
( ( mem @ B @ bool )
=> ( ( p @ ( ap @ ( ap @ c_2Emin_2E_3D_3D_3E @ A ) @ B ) )
= ( ( p @ A )
=> ( p @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(20,axiom,
! [A: del] : ( mem @ ( c_2Ebool_2EIN @ A ) @ ( arr @ A @ ( arr @ ( arr @ A @ bool ) @ bool ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2EIN) ).
thf(78,plain,
! [A: del] : ( mem @ ( c_2Ebool_2EIN @ A ) @ ( arr @ A @ ( arr @ ( arr @ A @ bool ) @ bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(1,conjecture,
! [A: del,B: $i] :
( ( mem @ B @ ( arr @ A @ bool ) )
=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A ) @ ( ap @ ( c_2Epred__set_2EREST @ A ) @ B ) ) @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Epred__set_2EREST__SUBSET) ).
thf(2,negated_conjecture,
~ ! [A: del,B: $i] :
( ( mem @ B @ ( arr @ A @ bool ) )
=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A ) @ ( ap @ ( c_2Epred__set_2EREST @ A ) @ B ) ) @ B ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(28,plain,
~ ! [A: del,B: $i] :
( ( mem @ B @ ( arr @ A @ bool ) )
=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A ) @ ( ap @ ( c_2Epred__set_2EREST @ A ) @ B ) ) @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(17,axiom,
mem @ c_2Emin_2E_3D_3D_3E @ ( arr @ bool @ ( arr @ bool @ bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Emin_2E_3D_3D_3E) ).
thf(70,plain,
mem @ c_2Emin_2E_3D_3D_3E @ ( arr @ bool @ ( arr @ bool @ bool ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(3,axiom,
! [A: del,B: $i] :
( ( mem @ B @ A )
=> ! [C: $i] :
( ( mem @ C @ A )
=> ( ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A ) @ B ) @ C ) )
= ( B = C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_eq_p) ).
thf(32,plain,
! [A: del,B: $i] :
( ( mem @ B @ A )
=> ! [C: $i] :
( ( mem @ C @ A )
=> ( ( p @ ( ap @ ( ap @ ( c_2Emin_2E_3D @ A ) @ B ) @ C ) )
= ( B = C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(16,axiom,
! [A: del,B: del,C: $i] :
( ( mem @ C @ ( arr @ A @ B ) )
=> ! [D: $i] :
( ( mem @ D @ ( arr @ A @ B ) )
=> ( ! [E: $i] :
( ( mem @ E @ A )
=> ( ( ap @ C @ E )
= ( ap @ D @ E ) ) )
=> ( C = D ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',funcext) ).
thf(64,plain,
! [A: del,B: del,C: $i] :
( ( mem @ C @ ( arr @ A @ B ) )
=> ! [D: $i] :
( ( mem @ D @ ( arr @ A @ B ) )
=> ( ! [E: $i] :
( ( mem @ E @ A )
=> ( ( ap @ C @ E )
= ( ap @ D @ E ) ) )
=> ( C = D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(18,axiom,
! [A: $o] :
( ( p @ ( inj__o @ A ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_inj_surj_o) ).
thf(71,plain,
! [A: $o] :
( ( p @ ( inj__o @ A ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(13,axiom,
! [A: del,B: del,C: $i > $i] :
( ! [D: $i] :
( ( mem @ D @ A )
=> ( mem @ ( C @ D ) @ B ) )
=> ( mem @ ( lam @ A @ C ) @ ( arr @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lam_tp) ).
thf(54,plain,
! [A: del,B: del,C: $i > $i] :
( ! [D: $i] :
( ( mem @ D @ A )
=> ( mem @ ( C @ D ) @ B ) )
=> ( mem @ ( lam @ A @ C ) @ ( arr @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(23,axiom,
! [A: del,B: del,C: $i] :
( ( mem @ C @ ( arr @ A @ B ) )
=> ! [D: $i] :
( ( mem @ D @ A )
=> ( mem @ ( ap @ C @ D ) @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_tp) ).
thf(86,plain,
! [A: del,B: del,C: $i] :
( ( mem @ C @ ( arr @ A @ B ) )
=> ! [D: $i] :
( ( mem @ D @ A )
=> ( mem @ ( ap @ C @ D ) @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(21,axiom,
! [A: del,B: $i] :
( ( mem @ B @ ( arr @ A @ bool ) )
=> ! [C: $i] :
( ( mem @ C @ ( arr @ A @ bool ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A ) @ B ) @ C ) )
= ( ! [D: $i] :
( ( mem @ D @ A )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A ) @ D ) @ B ) )
=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A ) @ D ) @ C ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Epred__set_2ESUBSET__DEF) ).
thf(80,plain,
! [A: del,B: $i] :
( ( mem @ B @ ( arr @ A @ bool ) )
=> ! [C: $i] :
( ( mem @ C @ ( arr @ A @ bool ) )
=> ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A ) @ B ) @ C ) )
= ( ! [D: $i] :
( ( mem @ D @ A )
=> ( ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A ) @ D ) @ B ) )
=> ( p @ ( ap @ ( ap @ ( c_2Ebool_2EIN @ A ) @ D ) @ C ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(4,axiom,
! [A: del] : ( mem @ ( c_2Epred__set_2ECHOICE @ A ) @ ( arr @ ( arr @ A @ bool ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Epred__set_2ECHOICE) ).
thf(35,plain,
! [A: del] : ( mem @ ( c_2Epred__set_2ECHOICE @ A ) @ ( arr @ ( arr @ A @ bool ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(22071,plain,
$false,
inference(e,[status(thm)],[88,37,52,61,96,44,76,91,48,43,40,58,51,83,46,93,78,28,70,32,64,71,54,86,80,35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP004^2 : TPTP v9.3.1. Bugfixed v7.5.0.
% 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
% 0.08/0.23 % Computer : n009.cluster.edu
% 0.08/0.23 % Model : x86_64 x86_64
% 0.08/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.23 % Memory : 8046.5625MB
% 0.08/0.23 % OS : Linux 6.8.0-71-generic
% 0.08/0.23 % CPULimit : 300
% 0.08/0.23 % WCLimit : 300
% 0.08/0.23 % DateTime : Tue Sep 29 19:20:30 UTC 2026
% 0.08/0.24 % CPUTime :
% 0.08/0.24 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
% 1.01/0.81 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.45/1.06 % [INFO] Parsing done (244ms).
% 1.45/1.08 % [INFO] Running in sequential loop mode.
% 2.21/1.47 % [INFO] eprover registered as external prover.
% 2.21/1.48 % [INFO] Scanning for conjecture ...
% 2.44/1.59 % [INFO] Found a conjecture (or negated_conjecture) and 25 axioms. Running axiom selection ...
% 2.61/1.68 % [INFO] Axiom selection finished. Selected 25 axioms (removed 0 axioms).
% 2.87/1.74 % [INFO] Problem is higher-order (TPTP THF).
% 2.87/1.75 % [INFO] Type checking passed.
% 2.87/1.75 % [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 ...
% 79.10/16.57 % External prover 'e' found a proof!
% 79.10/16.57 % [INFO] Killing All external provers ...
% 79.10/16.58 % Time passed: 16199ms (effective reasoning time: 15494ms)
% 79.10/16.58 % 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)>
% 79.10/16.58 % Axioms used in derivation (25): conj_thm_2Epred__set_2EIN__DELETE, funcext, mem_c_2Epred__set_2EDELETE, mem_c_2Ebool_2E_21, ax_and_p, mem_c_2Emin_2E_3D, mem_c_2Ebool_2E_7E, ax_all_p, mem_c_2Epred__set_2EREST, ap_tp, beta, mem_c_2Epred__set_2ESUBSET, lam_tp, mem_c_2Epred__set_2ECHOICE, stp_inj_mem_o, ax_thm_2Epred__set_2EREST__DEF, ax_neg_p, mem_c_2Ebool_2E_2F_5C, stp_inj_surj_o, ax_imp_p, ax_eq_p, ax_thm_2Epred__set_2ESUBSET__DEF, mem_c_2Ebool_2EIN, stp_iso_mem_o, mem_c_2Emin_2E_3D_3D_3E
% 79.10/16.58 % No. of inferences in proof: 54
% 79.10/16.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 16199 ms resp. 15494 ms w/o parsing
% 66.61/16.63 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 66.61/16.63 % [INFO] Killing All external provers ...
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