%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : ITP037^1 : 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 : 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 08:06:30 AM UTC 2026
% Result : Theorem 27.39s 9.29s
% Output : Refutation 27.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 8 ( 0 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 15 ( 3 ~; 0 |; 0 &; 12 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 53 ( 52 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 3 con; 0-1 aty)
% Number of variables : 3 ( 0 ^; 3 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
thf(produc640052711real_c_type,type,
produc640052711real_c: $tType ).
thf(set_Pr2041213564t_unit_type,type,
set_Pr2041213564t_unit: $tType ).
thf(set_Pr1169339874_sc_sz_type,type,
set_Pr1169339874_sc_sz: $tType ).
thf(produc999471430t_unit_type,type,
produc999471430t_unit: $tType ).
thf(produc1821101996_sc_sz_type,type,
produc1821101996_sc_sz: $tType ).
thf(produc1952288593real_c_type,type,
produc1952288593real_c: $tType ).
thf(produc99145217real_c_type,type,
produc99145217real_c: $tType ).
thf(produc1295591296real_c_type,type,
produc1295591296real_c: $tType ).
thf(produc906325778c_real_type,type,
produc906325778c_real: $tType ).
thf(set_Pr1389752855real_c_type,type,
set_Pr1389752855real_c: $tType ).
thf(produc1149990247eal_sz_type,type,
produc1149990247eal_sz: $tType ).
thf(produc190496183real_c_type,type,
produc190496183real_c: $tType ).
thf(produc866628903_sc_sz_type,type,
produc866628903_sc_sz: $tType ).
thf(produc729314338real_c_type,type,
produc729314338real_c: $tType ).
thf(produc1299700144real_c_type,type,
produc1299700144real_c: $tType ).
thf(produc1471603704real_c_type,type,
produc1471603704real_c: $tType ).
thf(produc133347448c_real_type,type,
produc133347448c_real: $tType ).
thf(denota610675952t_unit_type,type,
denota610675952t_unit: $tType ).
thf(produc44682460um_c_c_type,type,
produc44682460um_c_c: $tType ).
thf(produc189019228set_sz_type,type,
produc189019228set_sz: $tType ).
thf(produc621499498um_c_c_type,type,
produc621499498um_c_c: $tType ).
thf(produc802386618_set_c_type,type,
produc802386618_set_c: $tType ).
thf(denota231621370t_unit_type,type,
denota231621370t_unit: $tType ).
thf(set_Fi1407883041real_c_type,type,
set_Fi1407883041real_c: $tType ).
thf(produc2057661729set_sz_type,type,
produc2057661729set_sz: $tType ).
thf(produc1631500469_set_c_type,type,
produc1631500469_set_c: $tType ).
thf(produc313687471set_sz_type,type,
produc313687471set_sz: $tType ).
thf(produc756982951_set_c_type,type,
produc756982951_set_c: $tType ).
thf(produc861709536_sz_sz_type,type,
produc861709536_sz_sz: $tType ).
thf(finite824932053eal_sz_type,type,
finite824932053eal_sz: $tType ).
thf(finite1398487019real_c_type,type,
finite1398487019real_c: $tType ).
thf(list_f1238882004_sc_sz_type,type,
list_f1238882004_sc_sz: $tType ).
thf(produc957004601l_real_type,type,
produc957004601l_real: $tType ).
thf(frechet_strm_sf_sz_type,type,
frechet_strm_sf_sz: $tType ).
thf(set_Sum_sum_sz_sz_type,type,
set_Sum_sum_sz_sz: $tType ).
thf(frechet_strm_a_c_type,type,
frechet_strm_a_c: $tType ).
thf(set_Sum_sum_c_c_type,type,
set_Sum_sum_c_c: $tType ).
thf(set_trm_sf_sz_type,type,
set_trm_sf_sz: $tType ).
thf(set_trm_a_c_type,type,
set_trm_a_c: $tType ).
thf(formula_sf_sc_sz_type,type,
formula_sf_sc_sz: $tType ).
thf(trm_sf_sz_type,type,
trm_sf_sz: $tType ).
thf(trm_a_c_type,type,
trm_a_c: $tType ).
thf(set_sz_type,type,
set_sz: $tType ).
thf(set_sf_type,type,
set_sf: $tType ).
thf(set_c_type,type,
set_c: $tType ).
thf(set_a_type,type,
set_a: $tType ).
thf(real_type,type,
real: $tType ).
thf(sz_type,type,
sz: $tType ).
thf(sf_type,type,
sf: $tType ).
thf(sc_type,type,
sc: $tType ).
thf(c_type,type,
c: $tType ).
thf(a_type,type,
a: $tType ).
thf(dfree_a_c_decl,type,
dfree_a_c: trm_a_c > $o ).
thf(args_decl,type,
args: c > trm_a_c ).
thf(i2_decl,type,
i2: c ).
thf(1,conjecture,
dfree_a_c @ ( args @ i2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(2,negated_conjecture,
~ ( dfree_a_c @ ( args @ i2 ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(129,plain,
~ ( dfree_a_c @ ( args @ i2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(122,axiom,
! [A: c] : ( dfree_a_c @ ( args @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_free) ).
thf(728,plain,
! [A: c] : ( dfree_a_c @ ( args @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(729,plain,
! [A: c] : ( dfree_a_c @ ( args @ A ) ),
inference(cnf,[status(esa)],[728]) ).
thf(970,plain,
~ $true,
inference(rewrite,[status(thm)],[129,729]) ).
thf(971,plain,
$false,
inference(simp,[status(thm)],[970]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP037^1 : TPTP v9.3.1. Released 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
% 0.10/0.21 % Computer : n020.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 19:40:49 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 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
% 0.89/0.79 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 2.41/1.23 % [INFO] Parsing done (436ms).
% 2.41/1.25 % [INFO] Running in sequential loop mode.
% 3.65/1.63 % [INFO] eprover registered as external prover.
% 3.65/1.64 % [INFO] Scanning for conjecture ...
% 3.87/1.79 % [INFO] Found a conjecture (or negated_conjecture) and 356 axioms. Running axiom selection ...
% 4.28/1.91 % [INFO] Axiom selection finished. Selected 126 axioms (removed 230 axioms).
% 4.63/2.10 % [INFO] Problem is higher-order (TPTP THF).
% 4.63/2.12 % [INFO] Type checking passed.
% 4.90/2.13 % [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 ...
% 27.39/9.28 % [INFO] Killing All external provers ...
% 27.39/9.28 % Time passed: 8928ms (effective reasoning time: 8023ms)
% 27.39/9.29 % 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)>
% 27.39/9.29 % Axioms used in derivation (1): fact_0_free
% 27.39/9.29 % No. of inferences in proof: 8
% 27.39/9.29 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 8928 ms resp. 8023 ms w/o parsing
% 27.64/9.31 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 27.64/9.31 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------