%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : MSC017+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 : n006.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 08:03:14 AM UTC 2026
% Result : Theorem 3.16s 17.36s
% Output : Refutation 3.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 49 ( 4 equ; 0 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 136 ( 9 ~; 3 |; 6 &; 94 @)
% ( 2 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 18 ( 0 ^; 18 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(dive_decl,type,
dive: $i > $o ).
thf(outcome_decl,type,
outcome: $i > $i > $o ).
thf(bad_decl,type,
bad: $i > $o ).
thf(nitrogen_decl,type,
nitrogen: $i > $i ).
thf(padi_decl,type,
padi: $i > $i > $i ).
thf(depth_decl,type,
depth: $i > $i ).
thf(time_decl,type,
time: $i > $i ).
thf(greater_decl,type,
greater: $i > $i > $o ).
thf(depth_limit_decl,type,
depth_limit: $i ).
thf(time_limit_decl,type,
time_limit: $i ).
thf(nitrogen_limit_decl,type,
nitrogen_limit: $i ).
thf(dci_decl,type,
dci: $i ).
thf(3,axiom,
! [A: $i] :
( ( A @ dive )
=> ( ( A @ nitrogen )
= ( A @ time @ ( A @ depth @ padi ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dive_nitrogen) ).
thf(14,plain,
! [A: $i] :
( ( A @ dive )
=> ( ( A @ nitrogen )
= ( A @ time @ ( A @ depth @ padi ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,conjecture,
! [A: $i] :
( ( A @ dive )
=> ! [B: $i] :
( ( B @ ( A @ outcome ) )
=> ~ ( B @ bad ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_bad) ).
thf(2,negated_conjecture,
~ ! [A: $i] :
( ( A @ dive )
=> ! [B: $i] :
( ( B @ ( A @ outcome ) )
=> ~ ( B @ bad ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(9,plain,
~ ! [A: $i] :
( ( A @ dive )
=> ! [B: $i] :
( ( B @ ( A @ outcome ) )
=> ~ ( B @ bad ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
! [A: $i] :
( ( A @ dive )
=> ( ( ( time_limit @ ( A @ time @ greater ) )
| ( depth_limit @ ( A @ depth @ greater ) ) )
<=> ( nitrogen_limit @ ( A @ nitrogen @ greater ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',depth_and_time_and_nitrogen) ).
thf(17,plain,
! [A: $i] :
( ( A @ dive )
=> ( ( ( nitrogen_limit @ ( A @ nitrogen @ greater ) )
=> ( ( time_limit @ ( A @ time @ greater ) )
| ( depth_limit @ ( A @ depth @ greater ) ) ) )
& ( ( ( time_limit @ ( A @ time @ greater ) )
| ( depth_limit @ ( A @ depth @ greater ) ) )
=> ( nitrogen_limit @ ( A @ nitrogen @ greater ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,axiom,
dci @ bad,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bad_dci) ).
thf(26,plain,
dci @ bad,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(8,axiom,
! [A: $i] :
( ( A @ dive )
=> ( ~ ( time_limit @ ( A @ time @ greater ) )
& ~ ( depth_limit @ ( A @ depth @ greater ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_deep_long) ).
thf(30,plain,
! [A: $i] :
( ( A @ dive )
=> ( ~ ( time_limit @ ( A @ time @ greater ) )
& ~ ( depth_limit @ ( A @ depth @ greater ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(5,axiom,
! [A: $i] :
( ( A @ dive )
=> ( ( nitrogen_limit @ ( A @ nitrogen @ greater ) )
<=> ( dci @ ( A @ outcome ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',too_much_nitrogen) ).
thf(22,plain,
! [A: $i] :
( ( A @ dive )
=> ( ( ( dci @ ( A @ outcome ) )
=> ( nitrogen_limit @ ( A @ nitrogen @ greater ) ) )
& ( ( nitrogen_limit @ ( A @ nitrogen @ greater ) )
=> ( dci @ ( A @ outcome ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(7,axiom,
! [A: $i] :
( ( A @ dive )
=> ! [B: $i] :
( ( ( B @ bad )
& ( B @ ( A @ outcome ) ) )
=> ( B = dci ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dci_is_the_only_bad_outcome) ).
thf(27,plain,
! [A: $i] :
( ( A @ dive )
=> ! [B: $i] :
( ( ( B @ bad )
& ( B @ ( A @ outcome ) ) )
=> ( B = dci ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(34,plain,
$false,
inference(e,[status(thm)],[14,9,17,26,30,22,27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC017+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % 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
% 0.16/15.44 % Computer : n006.cluster.edu
% 0.16/15.44 % Model : x86_64 x86_64
% 0.16/15.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/15.44 % Memory : 8046.5625MB
% 0.16/15.44 % OS : Linux 6.8.0-71-generic
% 0.16/15.44 % CPULimit : 300
% 0.16/15.44 % WCLimit : 300
% 0.16/15.44 % DateTime : Sat Sep 26 00:17:14 UTC 2026
% 0.16/15.44 % CPUTime :
% 0.16/15.44 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
% 1.01/16.03 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.27/16.23 % [INFO] Parsing done (189ms).
% 1.27/16.24 % [INFO] Running in sequential loop mode.
% 1.83/16.63 % [INFO] eprover registered as external prover.
% 1.83/16.64 % [INFO] Scanning for conjecture ...
% 2.01/16.73 % [INFO] Found a conjecture (or negated_conjecture) and 6 axioms. Running axiom selection ...
% 2.01/16.77 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 2.01/16.79 % [INFO] Problem is first-order (TPTP FOF).
% 2.18/16.80 % [INFO] Type checking passed.
% 2.18/16.80 % [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 ...
% 3.16/17.35 % External prover 'e' found a proof!
% 3.16/17.35 % [INFO] Killing All external provers ...
% 3.16/17.35 % Time passed: 1769ms (effective reasoning time: 1107ms)
% 3.16/17.35 % 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)>
% 3.16/17.36 % Axioms used in derivation (6): too_much_nitrogen, bad_dci, no_deep_long, dci_is_the_only_bad_outcome, depth_and_time_and_nitrogen, dive_nitrogen
% 3.16/17.36 % No. of inferences in proof: 16
% 3.16/17.36 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1769 ms resp. 1107 ms w/o parsing
% 3.43/17.40 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.43/17.40 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------