%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : LAT388+1 : TPTP v9.3.1. Released v4.0.0.
% 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 : n011.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 : Sun Sep 27 07:47:38 AM UTC 2026
% Result : Theorem 6.16s 13.17s
% Output : Refutation 6.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 13 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 36 ( 3 ~; 0 |; 3 &; 30 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 5 con; 0-3 aty)
% Number of variables : 4 ( 0 ^; 1 !; 3 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
thf(aSupremumOfIn0_decl,type,
aSupremumOfIn0: $i > $i > $i > $o ).
thf(aFixedPointOf0_decl,type,
aFixedPointOf0: $i > $i > $o ).
thf(xT_decl,type,
xT: $i ).
thf(xS_decl,type,
xS: $i ).
thf(xp_decl,type,
xp: $i ).
thf(xf_decl,type,
xf: $i ).
thf(29,axiom,
( ( xS @ ( xT @ ( xp @ aSupremumOfIn0 ) ) )
& ( xf @ ( xp @ aFixedPointOf0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1330) ).
thf(145,plain,
( ( xS @ ( xT @ ( xp @ aSupremumOfIn0 ) ) )
& ( xf @ ( xp @ aFixedPointOf0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(146,plain,
( ( xS @ ( xT @ ( xp @ aSupremumOfIn0 ) ) )
& ( xf @ ( xp @ aFixedPointOf0 ) ) ),
inference(cnf,[status(esa)],[145]) ).
thf(148,plain,
xS @ ( xT @ ( xp @ aSupremumOfIn0 ) ),
inference(cnfConj,[status(thm)],[146]) ).
thf(1,conjecture,
? [A: $i] : ( xS @ ( xT @ ( A @ aSupremumOfIn0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
thf(2,negated_conjecture,
~ ? [A: $i] : ( xS @ ( xT @ ( A @ aSupremumOfIn0 ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(33,plain,
~ ? [A: $i] : ( xS @ ( xT @ ( A @ aSupremumOfIn0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(34,plain,
! [A: $i] :
~ ( xS @ ( xT @ ( A @ aSupremumOfIn0 ) ) ),
inference(cnf,[status(esa)],[33]) ).
thf(173,plain,
$false,
inference(rewrite,[status(thm)],[148,34]) ).
thf(174,plain,
$false,
inference(simp,[status(thm)],[173]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT388+1 : TPTP v9.3.1. Released v4.0.0.
% 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
% 0.11/10.39 % Computer : n011.cluster.edu
% 0.11/10.39 % Model : x86_64 x86_64
% 0.11/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.39 % Memory : 8046.5625MB
% 0.11/10.39 % OS : Linux 6.8.0-71-generic
% 0.11/10.39 % CPULimit : 300
% 0.11/10.39 % WCLimit : 300
% 0.11/10.39 % DateTime : Fri Sep 25 21:39:39 UTC 2026
% 0.15/10.40 % CPUTime :
% 0.15/10.40 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
% 0.15/10.98 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.39/11.20 % [INFO] Parsing done (217ms).
% 1.39/11.22 % [INFO] Running in sequential loop mode.
% 2.10/11.62 % [INFO] eprover registered as external prover.
% 2.10/11.63 % [INFO] Scanning for conjecture ...
% 2.10/11.68 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.10/11.69 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.27/11.71 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.27/11.71 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.27/11.72 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.27/11.72 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.27/11.73 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.27/11.74 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.27/11.75 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.27/11.75 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.27/11.78 % [INFO] Found a conjecture (or negated_conjecture) and 30 axioms. Running axiom selection ...
% 2.46/11.86 % [INFO] Axiom selection finished. Selected 30 axioms (removed 0 axioms).
% 2.46/11.87 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.46/11.87 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.46/11.88 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.46/11.88 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.46/11.88 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.46/11.89 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.46/11.89 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.46/11.89 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.68/11.90 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.68/11.90 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.68/11.91 % [INFO] Problem is first-order (TPTP FOF).
% 2.68/11.91 % [INFO] Type checking passed.
% 2.68/11.92 % [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 ...
% 6.16/13.17 % [INFO] Killing All external provers ...
% 6.16/13.17 % Time passed: 2625ms (effective reasoning time: 1939ms)
% 6.16/13.17 % 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)>
% 6.16/13.17 % Axioms used in derivation (1): m__1330
% 6.16/13.17 % No. of inferences in proof: 10
% 6.16/13.17 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2625 ms resp. 1939 ms w/o parsing
% 6.16/13.20 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.16/13.20 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------