%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : ITP015^3 : 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 : n020.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 08:06:21 AM UTC 2026
% Result : Theorem 5.77s 2.71s
% Output : Refutation 5.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of formulae : 38 ( 28 unt; 0 typ; 0 def)
% Number of atoms : 100 ( 64 equ; 0 cnn)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 336 ( 32 ~; 21 |; 15 &; 259 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 6 con; 0-4 aty)
% Number of variables : 79 ( 0 ^; 78 !; 1 ?; 79 :)
% Comments :
%------------------------------------------------------------------------------
thf(tyop_2Einteger_2Eint_type,type,
tyop_2Einteger_2Eint: $tType ).
thf(tyop_2Emin_2Ebool_type,type,
tyop_2Emin_2Ebool: $tType ).
thf(tyop_2Enum_2Enum_type,type,
tyop_2Enum_2Enum: $tType ).
thf(skt1_type,type,
skt1: $tType ).
thf(c_2Enum_2E0_decl,type,
c_2Enum_2E0: tyop_2Enum_2Enum ).
thf(c_2Eprim__rec_2E_3C_decl,type,
c_2Eprim__rec_2E_3C: tyop_2Enum_2Enum > tyop_2Enum_2Enum > $o ).
thf(c_2Ebool_2ECOND_decl,type,
c_2Ebool_2ECOND:
!>[TA: $tType] : ( $o > TA > TA > TA ) ).
thf(c_2Ebool_2EF_decl,type,
c_2Ebool_2EF: $o ).
thf(c_2Earithmetic_2EMOD_decl,type,
c_2Earithmetic_2EMOD: tyop_2Enum_2Enum > tyop_2Enum_2Enum > tyop_2Enum_2Enum ).
thf(c_2Einteger_2ENum_decl,type,
c_2Einteger_2ENum: tyop_2Einteger_2Eint > tyop_2Enum_2Enum ).
thf(c_2Ebool_2ET_decl,type,
c_2Ebool_2ET: $o ).
thf(c_2Ewords_2Edimword_decl,type,
c_2Ewords_2Edimword:
!>[TA: $tType] : ( ( tyop_2Ebool_2Eitself @ TA ) > tyop_2Enum_2Enum ) ).
thf(c_2Einteger__word_2Ei2w_decl,type,
c_2Einteger__word_2Ei2w:
!>[TA: $tType] : ( tyop_2Einteger_2Eint > ( tyop_2Efcp_2Ecart @ $o @ TA ) ) ).
thf(c_2Einteger_2Eint__lt_decl,type,
c_2Einteger_2Eint__lt: tyop_2Einteger_2Eint > tyop_2Einteger_2Eint > $o ).
thf(c_2Einteger_2Eint__neg_decl,type,
c_2Einteger_2Eint__neg: tyop_2Einteger_2Eint > tyop_2Einteger_2Eint ).
thf(c_2Einteger_2Eint__of__num_decl,type,
c_2Einteger_2Eint__of__num: tyop_2Enum_2Enum > tyop_2Einteger_2Eint ).
thf(c_2Ewords_2En2w_decl,type,
c_2Ewords_2En2w:
!>[TA: $tType] : ( tyop_2Enum_2Enum > ( tyop_2Efcp_2Ecart @ $o @ TA ) ) ).
thf(c_2Ebool_2Ethe__value_decl,type,
c_2Ebool_2Ethe__value:
!>[TA: $tType] : ( tyop_2Ebool_2Eitself @ TA ) ).
thf(c_2Ewords_2Eword__2comp_decl,type,
c_2Ewords_2Eword__2comp:
!>[TA: $tType] : ( ( tyop_2Efcp_2Ecart @ $o @ TA ) > ( tyop_2Efcp_2Ecart @ $o @ TA ) ) ).
thf(10,axiom,
! [A: tyop_2Enum_2Enum] :
~ ( c_2Eprim__rec_2E_3C @ A @ c_2Enum_2E0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Eprim__rec_2ENOT__LESS__0) ).
thf(52,plain,
! [A: tyop_2Enum_2Enum] :
~ ( c_2Eprim__rec_2E_3C @ A @ c_2Enum_2E0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(13,axiom,
! [TA: $tType,A: tyop_2Einteger_2Eint] :
( ( c_2Einteger__word_2Ei2w @ TA @ A )
= ( c_2Ebool_2ECOND @ ( tyop_2Efcp_2Ecart @ $o @ TA ) @ ( c_2Einteger_2Eint__lt @ A @ ( c_2Einteger_2Eint__of__num @ c_2Enum_2E0 ) ) @ ( c_2Ewords_2Eword__2comp @ TA @ ( c_2Ewords_2En2w @ TA @ ( c_2Einteger_2ENum @ ( c_2Einteger_2Eint__neg @ A ) ) ) ) @ ( c_2Ewords_2En2w @ TA @ ( c_2Einteger_2ENum @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger__word_2Ei2w__def) ).
thf(60,plain,
! [TA: $tType,A: tyop_2Einteger_2Eint] :
( ( c_2Einteger__word_2Ei2w @ TA @ A )
= ( c_2Ebool_2ECOND @ ( tyop_2Efcp_2Ecart @ $o @ TA ) @ ( c_2Einteger_2Eint__lt @ A @ ( c_2Einteger_2Eint__of__num @ c_2Enum_2E0 ) ) @ ( c_2Ewords_2Eword__2comp @ TA @ ( c_2Ewords_2En2w @ TA @ ( c_2Einteger_2ENum @ ( c_2Einteger_2Eint__neg @ A ) ) ) ) @ ( c_2Ewords_2En2w @ TA @ ( c_2Einteger_2ENum @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(7,axiom,
! [TA: $tType,A: $o,B: $o,C: TA,D: TA,E: TA,F: TA] :
( ( ( A = B )
& ( B
=> ( C = D ) )
& ( ~ B
=> ( E = F ) ) )
=> ( ( c_2Ebool_2ECOND @ TA @ A @ C @ E )
= ( c_2Ebool_2ECOND @ TA @ B @ D @ F ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2ECOND__CONG) ).
thf(32,plain,
! [TA: $tType,A: $o,B: $o,C: TA,D: TA,E: TA,F: TA] :
( ( ( A = B )
& ( B
=> ( C = D ) )
& ( ~ B
=> ( E = F ) ) )
=> ( ( c_2Ebool_2ECOND @ TA @ A @ C @ E )
= ( c_2Ebool_2ECOND @ TA @ B @ D @ F ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(33,plain,
! [TA: $tType,F: TA,E: TA,D: TA,C: TA,B: $o,A: $o] :
( ( ( A != B )
| B
| ~ B
| ( ( c_2Ebool_2ECOND @ TA @ A @ C @ E )
= ( c_2Ebool_2ECOND @ TA @ B @ D @ F ) ) )
& ( ( A != B )
| B
| ( E != F )
| ( ( c_2Ebool_2ECOND @ TA @ A @ C @ E )
= ( c_2Ebool_2ECOND @ TA @ B @ D @ F ) ) )
& ( ( A != B )
| ( C != D )
| ~ B
| ( ( c_2Ebool_2ECOND @ TA @ A @ C @ E )
= ( c_2Ebool_2ECOND @ TA @ B @ D @ F ) ) )
& ( ( A != B )
| ( C != D )
| ( E != F )
| ( ( c_2Ebool_2ECOND @ TA @ A @ C @ E )
= ( c_2Ebool_2ECOND @ TA @ B @ D @ F ) ) ) ),
inference(cnf,[status(esa)],[32]) ).
thf(36,plain,
! [TA: $tType,F: TA,E: TA,D: TA,C: TA,B: $o,A: $o] :
( ( A != B )
| ( C != D )
| ~ B
| ( ( c_2Ebool_2ECOND @ TA @ A @ C @ E )
= ( c_2Ebool_2ECOND @ TA @ B @ D @ F ) ) ),
inference(cnfConj,[status(thm)],[33]) ).
thf(42,plain,
! [TA: $tType,F: TA,E: TA,D: TA,C: TA,B: $o,A: $o] :
( ( A != B )
| ( C != D )
| ( ( c_2Ebool_2ECOND @ TA @ A @ C @ E )
= ( c_2Ebool_2ECOND @ TA @ B @ D @ F ) )
| ~ B ),
inference(lifteq,[status(thm)],[36]) ).
thf(43,plain,
! [TA: $tType,D: TA,C: TA,B: TA,A: $o] :
( ( ( c_2Ebool_2ECOND @ TA @ A @ B @ C )
= ( c_2Ebool_2ECOND @ TA @ A @ B @ D ) )
| ~ A ),
inference(simp,[status(thm)],[42]) ).
thf(11,axiom,
( ( c_2Einteger_2Eint__neg @ ( c_2Einteger_2Eint__of__num @ c_2Enum_2E0 ) )
= ( c_2Einteger_2Eint__of__num @ c_2Enum_2E0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2EINT__NEG__0) ).
thf(55,plain,
( ( c_2Einteger_2Eint__neg @ ( c_2Einteger_2Eint__of__num @ c_2Enum_2E0 ) )
= ( c_2Einteger_2Eint__of__num @ c_2Enum_2E0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(4,axiom,
c_2Ebool_2ET,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH) ).
thf(19,plain,
c_2Ebool_2ET,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(1,conjecture,
! [TA: $tType] :
( ( c_2Einteger__word_2Ei2w @ TA @ ( c_2Einteger_2Eint__of__num @ c_2Enum_2E0 ) )
= ( c_2Ewords_2En2w @ TA @ c_2Enum_2E0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger__word_2Ei2w__0) ).
thf(2,negated_conjecture,
~ ! [TA: $tType] :
( ( c_2Einteger__word_2Ei2w @ TA @ ( c_2Einteger_2Eint__of__num @ c_2Enum_2E0 ) )
= ( c_2Ewords_2En2w @ TA @ c_2Enum_2E0 ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(15,plain,
~ ! [TA: $tType] :
( ( c_2Einteger__word_2Ei2w @ TA @ ( c_2Einteger_2Eint__of__num @ c_2Enum_2E0 ) )
= ( c_2Ewords_2En2w @ TA @ c_2Enum_2E0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
! [A: $o] :
( c_2Ebool_2EF
=> A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2EFALSITY) ).
thf(20,plain,
! [A: $o] :
( c_2Ebool_2EF
=> A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(23,plain,
( c_2Ebool_2EF
=> $false ),
inference(instance,[status(thm)],[20]) ).
thf(24,plain,
~ c_2Ebool_2EF,
inference(simp,[status(thm)],[23]) ).
thf(6,axiom,
! [TA: $tType] :
( ! [A: TA,B: TA] :
( ( c_2Ebool_2ECOND @ TA @ c_2Ebool_2ET @ A @ B )
= A )
& ! [A: TA,B: TA] :
( ( c_2Ebool_2ECOND @ TA @ c_2Ebool_2EF @ A @ B )
= B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2Ebool__case__thm) ).
thf(25,plain,
! [TA: $tType] :
( ! [A: TA,B: TA] :
( ( c_2Ebool_2ECOND @ TA @ c_2Ebool_2ET @ A @ B )
= A )
& ! [A: TA,B: TA] :
( ( c_2Ebool_2ECOND @ TA @ c_2Ebool_2EF @ A @ B )
= B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(8,axiom,
! [TA: $tType,A: tyop_2Enum_2Enum,B: tyop_2Enum_2Enum] :
( ( ( c_2Ewords_2En2w @ TA @ A )
= ( c_2Ewords_2En2w @ TA @ B ) )
= ( ( c_2Earithmetic_2EMOD @ A @ ( c_2Ewords_2Edimword @ TA @ ( c_2Ebool_2Ethe__value @ TA ) ) )
= ( c_2Earithmetic_2EMOD @ B @ ( c_2Ewords_2Edimword @ TA @ ( c_2Ebool_2Ethe__value @ TA ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ewords_2En2w__11) ).
thf(46,plain,
! [TA: $tType,A: tyop_2Enum_2Enum,B: tyop_2Enum_2Enum] :
( ( ( c_2Ewords_2En2w @ TA @ A )
= ( c_2Ewords_2En2w @ TA @ B ) )
= ( ( c_2Earithmetic_2EMOD @ A @ ( c_2Ewords_2Edimword @ TA @ ( c_2Ebool_2Ethe__value @ TA ) ) )
= ( c_2Earithmetic_2EMOD @ B @ ( c_2Ewords_2Edimword @ TA @ ( c_2Ebool_2Ethe__value @ TA ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(12,axiom,
! [TA: $tType] :
( ( c_2Ewords_2Eword__2comp @ TA @ ( c_2Ewords_2En2w @ TA @ c_2Enum_2E0 ) )
= ( c_2Ewords_2En2w @ TA @ c_2Enum_2E0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ewords_2EWORD__NEG__0) ).
thf(57,plain,
! [TA: $tType] :
( ( c_2Ewords_2Eword__2comp @ TA @ ( c_2Ewords_2En2w @ TA @ c_2Enum_2E0 ) )
= ( c_2Ewords_2En2w @ TA @ c_2Enum_2E0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(16,plain,
( ( c_2Einteger__word_2Ei2w @ skt1 @ ( c_2Einteger_2Eint__of__num @ c_2Enum_2E0 ) )
!= ( c_2Ewords_2En2w @ skt1 @ c_2Enum_2E0 ) ),
inference(cnf,[status(esa)],[15]) ).
thf(17,plain,
( ( c_2Einteger__word_2Ei2w @ skt1 @ ( c_2Einteger_2Eint__of__num @ c_2Enum_2E0 ) )
!= ( c_2Ewords_2En2w @ skt1 @ c_2Enum_2E0 ) ),
inference(lifteq,[status(thm)],[16]) ).
thf(53,plain,
~ ? [A: tyop_2Enum_2Enum] : ( c_2Eprim__rec_2E_3C @ A @ c_2Enum_2E0 ),
inference(miniscope,[status(thm)],[52]) ).
thf(54,plain,
! [A: tyop_2Enum_2Enum] :
~ ( c_2Eprim__rec_2E_3C @ A @ c_2Enum_2E0 ),
inference(cnf,[status(esa)],[53]) ).
thf(9,axiom,
! [A: tyop_2Enum_2Enum] :
( ( c_2Einteger_2ENum @ ( c_2Einteger_2Eint__of__num @ A ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2ENUM__OF__INT) ).
thf(49,plain,
! [A: tyop_2Enum_2Enum] :
( ( c_2Einteger_2ENum @ ( c_2Einteger_2Eint__of__num @ A ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(14,axiom,
! [A: tyop_2Enum_2Enum,B: tyop_2Enum_2Enum] :
( ( ( c_2Einteger_2Eint__lt @ ( c_2Einteger_2Eint__of__num @ A ) @ ( c_2Einteger_2Eint__of__num @ B ) )
= ( c_2Eprim__rec_2E_3C @ A @ B ) )
& ( ( c_2Einteger_2Eint__lt @ ( c_2Einteger_2Eint__neg @ ( c_2Einteger_2Eint__of__num @ A ) ) @ ( c_2Einteger_2Eint__neg @ ( c_2Einteger_2Eint__of__num @ B ) ) )
= ( c_2Eprim__rec_2E_3C @ B @ A ) )
& ( ( c_2Einteger_2Eint__lt @ ( c_2Einteger_2Eint__neg @ ( c_2Einteger_2Eint__of__num @ A ) ) @ ( c_2Einteger_2Eint__of__num @ B ) )
= ( ( A != c_2Enum_2E0 )
| ( B != c_2Enum_2E0 ) ) )
& ( ( c_2Einteger_2Eint__lt @ ( c_2Einteger_2Eint__of__num @ A ) @ ( c_2Einteger_2Eint__neg @ ( c_2Einteger_2Eint__of__num @ B ) ) )
= c_2Ebool_2EF ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2EINT__LT__CALCULATE) ).
thf(63,plain,
! [A: tyop_2Enum_2Enum,B: tyop_2Enum_2Enum] :
( ( ( c_2Einteger_2Eint__lt @ ( c_2Einteger_2Eint__of__num @ A ) @ ( c_2Einteger_2Eint__of__num @ B ) )
= ( c_2Eprim__rec_2E_3C @ A @ B ) )
& ( ( c_2Einteger_2Eint__lt @ ( c_2Einteger_2Eint__neg @ ( c_2Einteger_2Eint__of__num @ A ) ) @ ( c_2Einteger_2Eint__neg @ ( c_2Einteger_2Eint__of__num @ B ) ) )
= ( c_2Eprim__rec_2E_3C @ B @ A ) )
& ( ( c_2Einteger_2Eint__lt @ ( c_2Einteger_2Eint__neg @ ( c_2Einteger_2Eint__of__num @ A ) ) @ ( c_2Einteger_2Eint__of__num @ B ) )
= ( ( A != c_2Enum_2E0 )
| ( B != c_2Enum_2E0 ) ) )
& ( ( c_2Einteger_2Eint__lt @ ( c_2Einteger_2Eint__of__num @ A ) @ ( c_2Einteger_2Eint__neg @ ( c_2Einteger_2Eint__of__num @ B ) ) )
= c_2Ebool_2EF ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(3,axiom,
! [TA: $tType,A: TA] :
( ( A = A )
= c_2Ebool_2ET ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2EREFL__CLAUSE) ).
thf(18,plain,
c_2Ebool_2ET,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(125,plain,
$false,
inference(e,[status(thm)],[52,60,43,55,19,15,24,25,20,46,57,32,17,54,49,63,18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP015^3 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.07 % 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
% 0.08/0.19 % Computer : n020.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 19:30:46 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 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
% 0.89/0.77 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.24/1.01 % [INFO] Parsing done (237ms).
% 1.24/1.03 % [INFO] Running in sequential loop mode.
% 2.25/1.44 % [INFO] eprover registered as external prover.
% 2.25/1.45 % [INFO] Scanning for conjecture ...
% 2.47/1.55 % [INFO] Found a conjecture (or negated_conjecture) and 22 axioms. Running axiom selection ...
% 2.66/1.62 % [INFO] Axiom selection finished. Selected 12 axioms (removed 10 axioms).
% 2.66/1.67 % [INFO] Problem is higher-order (TPTP THF).
% 2.66/1.67 % [INFO] Type checking passed.
% 2.66/1.68 % [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 ...
% 5.77/2.71 % External prover 'e' found a proof!
% 5.77/2.71 % [INFO] Killing All external provers ...
% 5.77/2.71 % Time passed: 2376ms (effective reasoning time: 1675ms)
% 5.77/2.71 % 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)>
% 5.77/2.71 % Axioms used in derivation (12): thm_2Ebool_2EREFL__CLAUSE, thm_2Ebool_2EFALSITY, thm_2Ebool_2ECOND__CONG, thm_2Eprim__rec_2ENOT__LESS__0, thm_2Einteger_2EINT__LT__CALCULATE, thm_2Einteger__word_2Ei2w__def, thm_2Ewords_2EWORD__NEG__0, thm_2Einteger_2EINT__NEG__0, thm_2Ebool_2ETRUTH, thm_2Einteger_2ENUM__OF__INT, thm_2Ewords_2En2w__11, thm_2Ebool_2Ebool__case__thm
% 5.77/2.71 % No. of inferences in proof: 38
% 5.77/2.71 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2376 ms resp. 1675 ms w/o parsing
% 5.77/2.74 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.77/2.74 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------