%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : ITP191^1 : TPTP v9.3.1. Released 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 : n017.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 08:07:07 AM UTC 2026
% Result : ContradictoryAxioms 28.90s 8.00s
% Output : Refutation 29.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 9 ( 8 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 21 ( 5 ~; 0 |; 0 &; 16 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 51 ( 51 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 10 ( 0 ^; 8 !; 2 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
thf(list_P431515740_pi_pi_type,type,
list_P431515740_pi_pi: $tType ).
thf(set_Pr806375235ubject_type,type,
set_Pr806375235ubject: $tType ).
thf(set_Pr1780909331reeRes_type,type,
set_Pr1780909331reeRes: $tType ).
thf(produc1141751126_pi_pi_type,type,
produc1141751126_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(set_Pr1131282415pi_Rep_type,type,
set_Pr1131282415pi_Rep: $tType ).
thf(produc971140967t_unit_type,type,
produc971140967t_unit: $tType ).
thf(produc257012921pi_Rep_type,type,
produc257012921pi_Rep: $tType ).
thf(produc1777919905pi_Rep_type,type,
produc1777919905pi_Rep: $tType ).
thf(list_name_noption_pi_type,type,
list_name_noption_pi: $tType ).
thf(list_P227219501e_name_type,type,
list_P227219501e_name: $tType ).
thf(set_Pr443758855e_name_type,type,
set_Pr443758855e_name: $tType ).
thf(produc1998742700t_name_type,type,
produc1998742700t_name: $tType ).
thf(produc2052722628s_name_type,type,
produc2052722628s_name: $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(produc135724498t_name_type,type,
produc135724498t_name: $tType ).
thf(produc1212344719pi_Rep_type,type,
produc1212344719pi_Rep: $tType ).
thf(produc546891580t_unit_type,type,
produc546891580t_unit: $tType ).
thf(produc738223008nit_pi_type,type,
produc738223008nit_pi: $tType ).
thf(produc1028309998t_unit_type,type,
produc1028309998t_unit: $tType ).
thf(produc367475239e_name_type,type,
produc367475239e_name: $tType ).
thf(product_prod_pi_name_type,type,
product_prod_pi_name: $tType ).
thf(product_prod_name_pi_type,type,
product_prod_name_pi: $tType ).
thf(product_prod_pi_pi_type,type,
product_prod_pi_pi: $tType ).
thf(list_Late_subject_type,type,
list_Late_subject: $tType ).
thf(list_Late_freeRes_type,type,
list_Late_freeRes: $tType ).
thf(set_Late_subject_type,type,
set_Late_subject: $tType ).
thf(set_Late_freeRes_type,type,
set_Late_freeRes: $tType ).
thf(list_Product_unit_type,type,
list_Product_unit: $tType ).
thf(list_pi_Rep_type,type,
list_pi_Rep: $tType ).
thf(late_residual_Rep_type,type,
late_residual_Rep: $tType ).
thf(noption_pi_type,type,
noption_pi: $tType ).
thf(late_subject_Rep_type,type,
late_subject_Rep: $tType ).
thf(late_freeRes_Rep_type,type,
late_freeRes_Rep: $tType ).
thf(set_pi_Rep_type,type,
set_pi_Rep: $tType ).
thf(list_name_type,type,
list_name: $tType ).
thf(set_name_type,type,
set_name: $tType ).
thf(list_pi_type,type,
list_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(set_pi_type,type,
set_pi: $tType ).
thf(product_unit_type,type,
product_unit: $tType ).
thf(pi_Rep_type,type,
pi_Rep: $tType ).
thf(name_type,type,
name: $tType ).
thf(pi_type,type,
pi: $tType ).
thf(late_OutputR_decl,type,
late_OutputR: name > name > late_freeRes ).
thf(late_TauR_decl,type,
late_TauR: late_freeRes ).
thf(ab_decl,type,
ab: name ).
thf(x_decl,type,
x: name ).
thf(281,axiom,
( ( late_OutputR @ ab @ x )
= late_TauR ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_cComm1_Ohyps_I9_J) ).
thf(1477,plain,
( ( late_OutputR @ ab @ x )
= late_TauR ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[281]) ).
thf(1478,plain,
( ( late_OutputR @ ab @ x )
= late_TauR ),
inference(lifteq,[status(thm)],[1477]) ).
thf(36,axiom,
! [A: name,B: name] :
( ( late_OutputR @ A @ B )
!= late_TauR ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_216_Late__Semantics_OfreeRes_Odistinct_I1_J) ).
thf(459,plain,
! [A: name,B: name] :
( ( late_OutputR @ A @ B )
!= late_TauR ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(460,plain,
~ ? [A: name,B: name] :
( ( late_OutputR @ A @ B )
= late_TauR ),
inference(miniscope,[status(thm)],[459]) ).
thf(461,plain,
! [B: name,A: name] :
( ( late_OutputR @ A @ B )
!= late_TauR ),
inference(cnf,[status(esa)],[460]) ).
thf(462,plain,
! [B: name,A: name] :
( ( late_OutputR @ A @ B )
!= late_TauR ),
inference(lifteq,[status(thm)],[461]) ).
thf(1868,plain,
$false,
inference(simplifyReflect,[status(thm)],[1478,462]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP191^1 : TPTP v9.3.1. Released 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
% 0.09/0.20 % Computer : n017.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 20:05:07 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 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
% 0.87/0.79 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 2.42/1.24 % [INFO] Parsing done (446ms).
% 2.42/1.25 % [INFO] Running in sequential loop mode.
% 4.00/1.66 % [INFO] eprover registered as external prover.
% 4.00/1.66 % [INFO] Scanning for conjecture ...
% 4.47/1.86 % [INFO] Found a conjecture (or negated_conjecture) and 361 axioms. Running axiom selection ...
% 5.24/2.05 % [INFO] Axiom selection finished. Selected 354 axioms (removed 7 axioms).
% 6.60/2.42 % [INFO] Problem is higher-order (TPTP THF).
% 6.60/2.45 % [INFO] Type checking passed.
% 6.60/2.46 % [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 ...
% 7.96/2.77 % [INFO] [Domain constraints] Detected constraint on product_unit
% 7.96/2.77 % [INFO] [Domain constraints] dom(product_unit) ⊆ {product_Unity}
% 8.46/2.83 % [INFO] [Domain constraints] Detected constraint on product_unit
% 8.46/2.83 % [INFO] [Domain constraints] dom(product_unit) ⊆ {product_Unity}
% 28.90/7.99 % [INFO] Killing All external provers ...
% 28.90/8.00 % Time passed: 7652ms (effective reasoning time: 6736ms)
% 28.90/8.00 % Axioms used in derivation (2): fact_1_cComm1_Ohyps_I9_J, fact_216_Late__Semantics_OfreeRes_Odistinct_I1_J
% 28.90/8.00 % No. of inferences in proof: 9
% 28.90/8.00 % SZS status ContradictoryAxioms for /export/starexec/sandbox/benchmark/theBenchmark.p : 7652 ms resp. 6736 ms w/o parsing
% 29.65/8.03 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 29.65/8.03 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------