%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : ITP184^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n001.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 08:07:06 AM UTC 2026
% Result : Theorem 40.29s 9.53s
% Output : Refutation 40.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 24 ( 2 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 216 ( 10 ~; 4 |; 3 &; 199 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 9 avg)
% Number of types : 27 ( 26 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 9 con; 0-5 aty)
% Number of variables : 6 ( 0 ^; 3 !; 3 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(produc1462499409ion_pi_type,type,
produc1462499409ion_pi: $tType ).
thf(produc691362330ubject_type,type,
produc691362330ubject: $tType ).
thf(produc1834551554reeRes_type,type,
produc1834551554reeRes: $tType ).
thf(produc405342261i_name_type,type,
produc405342261i_name: $tType ).
thf(produc629157763_pi_pi_type,type,
produc629157763_pi_pi: $tType ).
thf(produc1359399907ubject_type,type,
produc1359399907ubject: $tType ).
thf(produc355105483reeRes_type,type,
produc355105483reeRes: $tType ).
thf(produc214645451ubject_type,type,
produc214645451ubject: $tType ).
thf(produc1357834675reeRes_type,type,
produc1357834675reeRes: $tType ).
thf(produc1998742700t_name_type,type,
produc1998742700t_name: $tType ).
thf(produc2052722628s_name_type,type,
produc2052722628s_name: $tType ).
thf(produc865358760ubject_type,type,
produc865358760ubject: $tType ).
thf(produc2008547984reeRes_type,type,
produc2008547984reeRes: $tType ).
thf(produc140253050ect_pi_type,type,
produc140253050ect_pi: $tType ).
thf(produc992857746Res_pi_type,type,
produc992857746Res_pi: $tType ).
thf(set_Pr1834926343_pi_pi_type,type,
set_Pr1834926343_pi_pi: $tType ).
thf(product_prod_pi_pi_type,type,
product_prod_pi_pi: $tType ).
thf(noption_Late_subject_type,type,
noption_Late_subject: $tType ).
thf(noption_Late_freeRes_type,type,
noption_Late_freeRes: $tType ).
thf(noption_name_type,type,
noption_name: $tType ).
thf(noption_pi_type,type,
noption_pi: $tType ).
thf(late_residual_type,type,
late_residual: $tType ).
thf(late_subject_type,type,
late_subject: $tType ).
thf(late_freeRes_type,type,
late_freeRes: $tType ).
thf(name_type,type,
name: $tType ).
thf(pi_type,type,
pi: $tType ).
thf(par_decl,type,
par: pi > pi > pi ).
thf(late_BoundR_decl,type,
late_BoundR: late_subject > name > pi > late_residual ).
thf(late_transitions_decl,type,
late_transitions: pi > late_residual > $o ).
thf(strong2129052853vative_decl,type,
strong2129052853vative: pi > pi > late_subject > name > set_Pr1834926343_pi_pi > $o ).
thf(p_decl,type,
p: pi ).
thf(q_decl,type,
q: pi ).
thf(q2_decl,type,
q2: pi ).
thf(r_decl,type,
r: pi ).
thf(rel_decl,type,
rel: set_Pr1834926343_pi_pi ).
thf(a_decl,type,
a: late_subject ).
thf(x_decl,type,
x: name ).
thf(255,axiom,
strong2129052853vative @ ( par @ ( par @ p @ q2 ) @ r ) @ ( par @ p @ ( par @ q2 @ r ) ) @ a @ x @ rel,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062derivative_A_I_IP_A_092_060parallel_062_AQ_H_J_A_092_060parallel_062_AR_J_A_IP_A_092_060parallel_062_AQ_H_A_092_060parallel_062_AR_J_Aa_Ax_ARel_092_060close_062) ).
thf(1655,plain,
strong2129052853vative @ ( par @ ( par @ p @ q2 ) @ r ) @ ( par @ p @ ( par @ q2 @ r ) ) @ a @ x @ rel,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[255]) ).
thf(141,axiom,
late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ ( par @ ( par @ p @ q2 ) @ r ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__092_060open_062_IP_A_092_060parallel_062_AQ_J_A_092_060parallel_062_AR_A_092_060longmapsto_062_Aa_092_060guillemotleft_062x_092_060guillemotright_062_A_092_060prec_062_A_IP_A_092_060parallel_062_AQ_H_J_A_092_060parallel_062_AR_092_060close_062) ).
thf(790,plain,
late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ ( par @ ( par @ p @ q2 ) @ r ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).
thf(1,conjecture,
? [A: pi] :
( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ A ) )
& ( strong2129052853vative @ A @ ( par @ p @ ( par @ q2 @ r ) ) @ a @ x @ rel ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(2,negated_conjecture,
~ ? [A: pi] :
( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ A ) )
& ( strong2129052853vative @ A @ ( par @ p @ ( par @ q2 @ r ) ) @ a @ x @ rel ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(265,plain,
~ ? [A: pi] :
( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ A ) )
& ( strong2129052853vative @ A @ ( par @ p @ ( par @ q2 @ r ) ) @ a @ x @ rel ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(266,plain,
! [A: pi] :
( ~ ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ A ) )
| ~ ( strong2129052853vative @ A @ ( par @ p @ ( par @ q2 @ r ) ) @ a @ x @ rel ) ),
inference(cnf,[status(esa)],[265]) ).
thf(4278,plain,
! [A: pi] :
( ~ $true
| ~ ( strong2129052853vative @ A @ ( par @ p @ ( par @ q2 @ r ) ) @ a @ x @ rel )
| ( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ ( par @ ( par @ p @ q2 ) @ r ) ) )
!= ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ A ) ) ) ),
inference(paramod_ordered,[status(thm)],[790,266]) ).
thf(4279,plain,
! [A: pi] :
( ~ ( strong2129052853vative @ A @ ( par @ p @ ( par @ q2 @ r ) ) @ a @ x @ rel )
| ( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ ( par @ ( par @ p @ q2 ) @ r ) ) )
!= ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_BoundR @ a @ x @ A ) ) ) ),
inference(simp,[status(thm)],[4278]) ).
thf(4280,plain,
~ ( strong2129052853vative @ ( par @ ( par @ p @ q2 ) @ r ) @ ( par @ p @ ( par @ q2 @ r ) ) @ a @ x @ rel ),
inference(pattern_uni,[status(thm)],[4279:[bind(A,$thf( par @ ( par @ p @ q2 ) @ r ))]]) ).
thf(4870,plain,
$false,
inference(rewrite,[status(thm)],[1655,4280]) ).
thf(4871,plain,
$false,
inference(simp,[status(thm)],[4870]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP184^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.07 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.10/0.21 % Computer : n001.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Tue Sep 29 20:14:06 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.85/0.79 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.01/1.17 % [INFO] Parsing done (383ms).
% 2.01/1.19 % [INFO] Running in sequential loop mode.
% 3.08/1.56 % [INFO] eprover registered as external prover.
% 3.08/1.57 % [INFO] Scanning for conjecture ...
% 3.50/1.74 % [INFO] Found a conjecture (or negated_conjecture) and 320 axioms. Running axiom selection ...
% 3.69/1.88 % [INFO] Axiom selection finished. Selected 262 axioms (removed 58 axioms).
% 5.04/2.20 % [INFO] Problem is higher-order (TPTP THF).
% 5.04/2.24 % [INFO] Type checking passed.
% 5.04/2.24 % [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 ...
% 40.29/9.52 % [INFO] Killing All external provers ...
% 40.29/9.53 % Time passed: 9179ms (effective reasoning time: 8332ms)
% 40.29/9.53 % 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)>
% 40.29/9.53 % Axioms used in derivation (2): fact_0__092_060open_062derivative_A_I_IP_A_092_060parallel_062_AQ_H_J_A_092_060parallel_062_AR_J_A_IP_A_092_060parallel_062_AQ_H_A_092_060parallel_062_AR_J_Aa_Ax_ARel_092_060close_062, fact_2__092_060open_062_IP_A_092_060parallel_062_AQ_J_A_092_060parallel_062_AR_A_092_060longmapsto_062_Aa_092_060guillemotleft_062x_092_060guillemotright_062_A_092_060prec_062_A_IP_A_092_060parallel_062_AQ_H_J_A_092_060parallel_062_AR_092_060close_062
% 40.29/9.53 % No. of inferences in proof: 13
% 40.29/9.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 9179 ms resp. 8332 ms w/o parsing
% 40.29/9.56 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 40.29/9.56 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------