%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : ITP196^1 : 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 : n013.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 08:07:08 AM UTC 2026
% Result : Theorem 47.99s 15.06s
% Output : Refutation 47.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 15 ( 4 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 26 ( 13 ~; 2 |; 0 &; 9 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 28 ( 27 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 2 usr; 3 con; 0-2 aty)
% Number of variables : 4 ( 0 ^; 4 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
thf(produc1456530199y_real_type,type,
produc1456530199y_real: $tType ).
thf(produc1060019729y_real_type,type,
produc1060019729y_real: $tType ).
thf(list_P657095678y_real_type,type,
list_P657095678y_real: $tType ).
thf(set_Pr1405268809y_real_type,type,
set_Pr1405268809y_real: $tType ).
thf(produc1426596841y_real_type,type,
produc1426596841y_real: $tType ).
thf(list_l343759061y_real_type,type,
list_l343759061y_real: $tType ).
thf(list_P991700890y_real_type,type,
list_P991700890y_real: $tType ).
thf(option293660815y_real_type,type,
option293660815y_real: $tType ).
thf(produc796638169y_real_type,type,
produc796638169y_real: $tType ).
thf(list_P693436111y_real_type,type,
list_P693436111y_real: $tType ).
thf(set_Pr483210409y_real_type,type,
set_Pr483210409y_real: $tType ).
thf(list_P1001591419y_real_type,type,
list_P1001591419y_real: $tType ).
thf(list_l6097393y_real_type,type,
list_l6097393y_real: $tType ).
thf(produc461822025y_real_type,type,
produc461822025y_real: $tType ).
thf(option988260395y_real_type,type,
option988260395y_real: $tType ).
thf(list_P736648811y_real_type,type,
list_P736648811y_real: $tType ).
thf(list_l1245274212y_real_type,type,
list_l1245274212y_real: $tType ).
thf(produc321349221y_real_type,type,
produc321349221y_real: $tType ).
thf(option1330723604y_real_type,type,
option1330723604y_real: $tType ).
thf(list_list_poly_real_type,type,
list_list_poly_real: $tType ).
thf(set_list_poly_real_type,type,
set_list_poly_real: $tType ).
thf(option_poly_real_type,type,
option_poly_real: $tType ).
thf(list_poly_real_type,type,
list_poly_real: $tType ).
thf(set_poly_real_type,type,
set_poly_real: $tType ).
thf(poly_real_type,type,
poly_real: $tType ).
thf(list_nat_type,type,
list_nat: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(nil_poly_real_decl,type,
nil_poly_real: list_poly_real ).
thf(sturm_891428828rm_seq_decl,type,
sturm_891428828rm_seq: list_poly_real > $o ).
thf(290,axiom,
! [A: list_poly_real] :
( ( sturm_891428828rm_seq @ A )
=> ( A != nil_poly_real ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_quasi__sturm__seq_Ops__not__Nil) ).
thf(1826,plain,
! [A: list_poly_real] :
( ( sturm_891428828rm_seq @ A )
=> ( A != nil_poly_real ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[290]) ).
thf(1827,plain,
! [A: list_poly_real] :
( ~ ( sturm_891428828rm_seq @ A )
| ( A != nil_poly_real ) ),
inference(cnf,[status(esa)],[1826]) ).
thf(1828,plain,
! [A: list_poly_real] :
( ( A != nil_poly_real )
| ~ ( sturm_891428828rm_seq @ A ) ),
inference(lifteq,[status(thm)],[1827]) ).
thf(1829,plain,
~ ( sturm_891428828rm_seq @ nil_poly_real ),
inference(simp,[status(thm)],[1828]) ).
thf(1,conjecture,
~ ( sturm_891428828rm_seq @ nil_poly_real ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(2,negated_conjecture,
~ ~ ( sturm_891428828rm_seq @ nil_poly_real ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(352,plain,
~ ~ ( sturm_891428828rm_seq @ nil_poly_real ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(353,plain,
sturm_891428828rm_seq @ nil_poly_real,
inference(polarity_switch,[status(thm)],[352]) ).
thf(2175,plain,
~ $true,
inference(rewrite,[status(thm)],[1829,353]) ).
thf(2176,plain,
$false,
inference(simp,[status(thm)],[2175]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ITP196^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.10 % 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
% 0.09/0.26 % Computer : n013.cluster.edu
% 0.09/0.26 % Model : x86_64 x86_64
% 0.09/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.26 % Memory : 8046.5625MB
% 0.09/0.26 % OS : Linux 6.8.0-71-generic
% 0.09/0.26 % CPULimit : 300
% 0.09/0.26 % WCLimit : 300
% 0.09/0.26 % DateTime : Tue Sep 29 20:09:51 UTC 2026
% 0.09/0.26 % CPUTime :
% 0.09/0.26 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
% 1.14/1.02 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 3.51/1.60 % [INFO] Parsing done (582ms).
% 3.51/1.63 % [INFO] Running in sequential loop mode.
% 5.07/2.18 % [INFO] eprover registered as external prover.
% 5.07/2.19 % [INFO] Scanning for conjecture ...
% 5.65/2.40 % [INFO] Found a conjecture (or negated_conjecture) and 349 axioms. Running axiom selection ...
% 6.37/2.65 % [INFO] Axiom selection finished. Selected 349 axioms (removed 0 axioms).
% 8.22/3.23 % [INFO] Problem is higher-order (TPTP THF).
% 8.22/3.30 % [INFO] Type checking passed.
% 8.65/3.30 % [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 ...
% 47.99/15.05 % [INFO] Killing All external provers ...
% 47.99/15.05 % Time passed: 14573ms (effective reasoning time: 13415ms)
% 47.99/15.05 % 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)>
% 47.99/15.06 % Axioms used in derivation (1): fact_0_quasi__sturm__seq_Ops__not__Nil
% 47.99/15.06 % No. of inferences in proof: 11
% 47.99/15.06 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 14573 ms resp. 13415 ms w/o parsing
% 47.99/15.08 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 47.99/15.08 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------