%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : ITP219^2 : TPTP v9.3.1. Bugfixed v9.2.1.
% 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 : n012.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 08:07:15 AM UTC 2026
% Result : Theorem 18.12s 5.08s
% Output : Refutation 18.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 47 ( 4 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 126 ( 22 ~; 12 |; 0 &; 86 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 13 ( 12 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 25 ( 0 ^; 25 !; 0 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
thf(code_natural_type,type,
code_natural: $tType ).
thf(code_integer_type,type,
code_integer: $tType ).
thf(code_term_type,type,
code_term: $tType ).
thf(product_unit_type,type,
product_unit: $tType ).
thf(assn_type,type,
assn: $tType ).
thf(char_type,type,
char: $tType ).
thf(rat_type,type,
rat: $tType ).
thf(num_type,type,
num: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(int_type,type,
int: $tType ).
thf(d_type,type,
d: $tType ).
thf(c_type,type,
c: $tType ).
thf(entails_decl,type,
entails: assn > assn > $o ).
thf(bot_bot_decl,type,
bot_bot:
!>[TA: $tType] : TA ).
thf(p_decl,type,
p: assn ).
thf(q_decl,type,
q: assn ).
thf(12,axiom,
entails @ p @ ( bot_bot @ assn ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__092_060open_062P_A_092_060Longrightarrow_062_092_060_094sub_062A_Afalse_092_060close_062) ).
thf(46,plain,
entails @ p @ ( bot_bot @ assn ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(14,axiom,
! [A: assn,B: assn,C: assn] :
( ( entails @ A @ B )
=> ( ( entails @ B @ C )
=> ( entails @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_ent__trans) ).
thf(49,plain,
! [A: assn,B: assn,C: assn] :
( ( entails @ A @ B )
=> ( ( entails @ B @ C )
=> ( entails @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(50,plain,
! [A: assn,B: assn] :
( ( entails @ A @ B )
=> ! [C: assn] :
( ( entails @ B @ C )
=> ( entails @ A @ C ) ) ),
inference(miniscope,[status(thm)],[49]) ).
thf(51,plain,
! [C: assn,B: assn,A: assn] :
( ~ ( entails @ A @ B )
| ~ ( entails @ B @ C )
| ( entails @ A @ C ) ),
inference(cnf,[status(esa)],[50]) ).
thf(1,conjecture,
entails @ p @ q,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(2,negated_conjecture,
~ ( entails @ p @ q ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(25,plain,
~ ( entails @ p @ q ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(803,plain,
! [C: assn,B: assn,A: assn] :
( ~ ( entails @ A @ B )
| ~ ( entails @ B @ C )
| ~ $true
| ( ( entails @ A @ C )
!= ( entails @ p @ q ) ) ),
inference(paramod_ordered,[status(thm)],[51,25]) ).
thf(804,plain,
! [C: assn,B: assn,A: assn] :
( ~ ( entails @ A @ B )
| ~ ( entails @ B @ C )
| ( ( entails @ A @ C )
!= ( entails @ p @ q ) ) ),
inference(simp,[status(thm)],[803]) ).
thf(805,plain,
! [A: assn] :
( ~ ( entails @ p @ A )
| ~ ( entails @ A @ q ) ),
inference(pattern_uni,[status(thm)],[804:[bind(A,$thf( p )),bind(B,$thf( B )),bind(C,$thf( q ))]]) ).
thf(885,plain,
! [A: assn] :
( ~ ( entails @ p @ A )
| ~ ( entails @ A @ q ) ),
inference(simp,[status(thm)],[805]) ).
thf(920,plain,
! [A: assn] :
( ~ $true
| ~ ( entails @ A @ q )
| ( ( entails @ p @ ( bot_bot @ assn ) )
!= ( entails @ p @ A ) ) ),
inference(paramod_ordered,[status(thm)],[46,885]) ).
thf(921,plain,
! [A: assn] :
( ~ ( entails @ A @ q )
| ( ( entails @ p @ ( bot_bot @ assn ) )
!= ( entails @ p @ A ) ) ),
inference(simp,[status(thm)],[920]) ).
thf(922,plain,
~ ( entails @ ( bot_bot @ assn ) @ q ),
inference(pattern_uni,[status(thm)],[921:[bind(A,$thf( bot_bot @ assn ))]]) ).
thf(7,axiom,
! [A: assn] : ( entails @ ( bot_bot @ assn ) @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_ent__false) ).
thf(35,plain,
! [A: assn] : ( entails @ ( bot_bot @ assn ) @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(36,plain,
! [A: assn] : ( entails @ ( bot_bot @ assn ) @ A ),
inference(cnf,[status(esa)],[35]) ).
thf(991,plain,
~ $true,
inference(rewrite,[status(thm)],[922,36]) ).
thf(992,plain,
$false,
inference(simp,[status(thm)],[991]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ITP219^2 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.04 % 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
% 0.03/0.15 % Computer : n012.cluster.edu
% 0.03/0.15 % Model : x86_64 x86_64
% 0.03/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.15 % Memory : 8046.5625MB
% 0.03/0.15 % OS : Linux 6.8.0-71-generic
% 0.03/0.15 % CPULimit : 300
% 0.03/0.15 % WCLimit : 300
% 0.03/0.15 % DateTime : Tue Sep 29 20:18:03 UTC 2026
% 0.03/0.15 % CPUTime :
% 0.03/0.15 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
% 0.50/0.44 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 4.36/1.55 % [INFO] Parsing done (1101ms).
% 4.36/1.57 % [INFO] Running in sequential loop mode.
% 4.98/1.78 % [INFO] eprover registered as external prover.
% 4.98/1.78 % [INFO] Scanning for conjecture ...
% 6.79/2.30 % [INFO] Found a conjecture (or negated_conjecture) and 8840 axioms. Running axiom selection ...
% 7.98/2.51 % [INFO] Axiom selection finished. Selected 22 axioms (removed 8818 axioms).
% 7.98/2.56 % [INFO] Problem is higher-order (TPTP THF).
% 7.98/2.57 % [INFO] Type checking passed.
% 7.98/2.57 % [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 ...
% 18.12/5.08 % [INFO] Killing All external provers ...
% 18.12/5.08 % Time passed: 4850ms (effective reasoning time: 3510ms)
% 18.12/5.08 % 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)>
% 18.12/5.08 % Axioms used in derivation (3): fact_1__092_060open_062P_A_092_060Longrightarrow_062_092_060_094sub_062A_Afalse_092_060close_062, fact_5_ent__trans, fact_7_ent__false
% 18.12/5.08 % No. of inferences in proof: 21
% 18.12/5.08 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 4850 ms resp. 3510 ms w/o parsing
% 18.12/5.11 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 18.12/5.11 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------