%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : RNG125+4 : 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 : n002.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 08:25:31 AM UTC 2026
% Result : ContradictoryAxioms 17.95s 5.64s
% Output : Refutation 17.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 6 unt; 0 typ; 2 def)
% Number of atoms : 74 ( 18 equ; 0 cnn)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 177 ( 25 ~; 24 |; 28 &; 100 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 14 ( 0 ^; 2 !; 10 ?; 14 :)
% ( 0 !>; 0 ?*; 0 @-; 2 @+)
% Comments :
%------------------------------------------------------------------------------
thf(aElement0_decl,type,
aElement0: $i > $o ).
thf(sdtasdt0_decl,type,
sdtasdt0: $i > $i > $i ).
thf(doDivides0_decl,type,
doDivides0: $i > $i > $o ).
thf(aDivisorOf0_decl,type,
aDivisorOf0: $i > $i > $o ).
thf(xa_decl,type,
xa: $i ).
thf(xb_decl,type,
xb: $i ).
thf(xu_decl,type,
xu: $i ).
thf(sk48_decl,type,
sk48: $o ).
thf(sk51_decl,type,
sk51: $i ).
thf(sk52_decl,type,
sk52: $i ).
thf(sk51_def,definition,
( sk51
= ( @+[A: $i] :
( ( ( A @ ( xu @ sdtasdt0 ) )
= xa )
& ( A @ aElement0 ) ) ) ) ).
thf(sk52_def,definition,
( sk52
= ( @+[A: $i] :
( ( ( A @ ( xu @ sdtasdt0 ) )
= xb )
& ( A @ aElement0 ) ) ) ) ).
thf(48,axiom,
~ ( ( ( xb @ ( xu @ aDivisorOf0 ) )
| ( xb @ ( xu @ doDivides0 ) )
| ? [A: $i] :
( ( ( A @ ( xu @ sdtasdt0 ) )
= xb )
& ( A @ aElement0 ) ) )
& ( ( xa @ ( xu @ aDivisorOf0 ) )
| ( xa @ ( xu @ doDivides0 ) )
| ? [A: $i] :
( ( ( A @ ( xu @ sdtasdt0 ) )
= xa )
& ( A @ aElement0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2383) ).
thf(433,plain,
~ ( ( ( xb @ ( xu @ aDivisorOf0 ) )
| ( xb @ ( xu @ doDivides0 ) )
| ? [A: $i] :
( ( ( A @ ( xu @ sdtasdt0 ) )
= xb )
& ( A @ aElement0 ) ) )
& ( ( xa @ ( xu @ aDivisorOf0 ) )
| ( xa @ ( xu @ doDivides0 ) )
| ? [A: $i] :
( ( ( A @ ( xu @ sdtasdt0 ) )
= xa )
& ( A @ aElement0 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(434,plain,
~ ( ( ( xb @ ( xu @ aDivisorOf0 ) )
| ( xb @ ( xu @ doDivides0 ) )
| ? [A: $i] :
( ( ( A @ ( xu @ sdtasdt0 ) )
= xb )
& ( A @ aElement0 ) ) )
& ( ( xa @ ( xu @ aDivisorOf0 ) )
| ( xa @ ( xu @ doDivides0 ) )
| ? [A: $i] :
( ( ( A @ ( xu @ sdtasdt0 ) )
= xa )
& ( A @ aElement0 ) ) ) ),
inference(polarity_switch,[status(thm)],[433]) ).
thf(435,plain,
! [B: $i,A: $i] :
( ( ~ ( xb @ ( xu @ aDivisorOf0 ) )
| sk48 )
& ( ~ ( xb @ ( xu @ doDivides0 ) )
| sk48 )
& ( ( ( B @ ( xu @ sdtasdt0 ) )
!= xb )
| ~ ( B @ aElement0 )
| sk48 )
& ( ~ sk48
| ~ ( xa @ ( xu @ aDivisorOf0 ) ) )
& ( ~ sk48
| ~ ( xa @ ( xu @ doDivides0 ) ) )
& ( ~ sk48
| ( ( A @ ( xu @ sdtasdt0 ) )
!= xa )
| ~ ( A @ aElement0 ) ) ),
inference(cnf,[status(esa)],[434]) ).
thf(438,plain,
( ~ ( xb @ ( xu @ doDivides0 ) )
| sk48 ),
inference(cnfConj,[status(thm)],[435]) ).
thf(439,plain,
( ~ sk48
| ~ ( xa @ ( xu @ doDivides0 ) ) ),
inference(cnfConj,[status(thm)],[435]) ).
thf(50,axiom,
~ ~ ( ( xa @ ( xu @ doDivides0 ) )
& ? [A: $i] :
( ( ( A @ ( xu @ sdtasdt0 ) )
= xa )
& ( A @ aElement0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2479) ).
thf(452,plain,
( ( xa @ ( xu @ doDivides0 ) )
& ? [A: $i] :
( ( ( A @ ( xu @ sdtasdt0 ) )
= xa )
& ( A @ aElement0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(453,plain,
( ( xa @ ( xu @ doDivides0 ) )
& ( ( sk51 @ ( xu @ sdtasdt0 ) )
= xa )
& ( sk51 @ aElement0 ) ),
inference(cnf,[status(esa)],[452]) ).
thf(456,plain,
xa @ ( xu @ doDivides0 ),
inference(cnfConj,[status(thm)],[453]) ).
thf(852,plain,
( ~ sk48
| ~ $true ),
inference(rewrite,[status(thm)],[439,456]) ).
thf(853,plain,
~ sk48,
inference(simp,[status(thm)],[852]) ).
thf(51,axiom,
~ ~ ( ( xb @ ( xu @ doDivides0 ) )
& ? [A: $i] :
( ( ( A @ ( xu @ sdtasdt0 ) )
= xb )
& ( A @ aElement0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2612) ).
thf(458,plain,
( ( xb @ ( xu @ doDivides0 ) )
& ? [A: $i] :
( ( ( A @ ( xu @ sdtasdt0 ) )
= xb )
& ( A @ aElement0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(459,plain,
( ( xb @ ( xu @ doDivides0 ) )
& ( ( sk52 @ ( xu @ sdtasdt0 ) )
= xb )
& ( sk52 @ aElement0 ) ),
inference(cnf,[status(esa)],[458]) ).
thf(462,plain,
xb @ ( xu @ doDivides0 ),
inference(cnfConj,[status(thm)],[459]) ).
thf(2990,plain,
( ~ $true
| $false ),
inference(rewrite,[status(thm)],[438,853,462]) ).
thf(2991,plain,
$false,
inference(simp,[status(thm)],[2990]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG125+4 : 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
% 0.11/0.40 % Computer : n002.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sat Sep 26 06:14:05 UTC 2026
% 0.11/0.41 % CPUTime :
% 0.11/0.41 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
% 0.86/0.99 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.43/1.25 % [INFO] Parsing done (252ms).
% 1.43/1.26 % [INFO] Running in sequential loop mode.
% 2.24/1.66 % [INFO] eprover registered as external prover.
% 2.24/1.67 % [INFO] Scanning for conjecture ...
% 2.47/1.76 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.47/1.77 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.47/1.78 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.47/1.78 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.47/1.79 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.47/1.79 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.68/1.80 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.68/1.80 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.68/1.80 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.68/1.84 % [INFO] Found a conjecture (or negated_conjecture) and 49 axioms. Running axiom selection ...
% 2.68/1.87 % [INFO] Axiom selection finished. Selected 49 axioms (removed 0 axioms).
% 2.68/1.88 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.68/1.88 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.68/1.88 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.68/1.88 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.68/1.88 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.68/1.89 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.68/1.89 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.68/1.89 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.68/1.89 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.90/1.97 % [INFO] Problem is first-order (TPTP FOF).
% 2.90/1.98 % [INFO] Type checking passed.
% 2.90/1.99 % [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 ...
% 17.95/5.64 % [INFO] Killing All external provers ...
% 17.95/5.64 % Time passed: 5085ms (effective reasoning time: 4372ms)
% 17.95/5.64 % Axioms used in derivation (3): m__2383, m__2479, m__2612
% 17.95/5.64 % No. of inferences in proof: 18
% 17.95/5.64 % SZS status ContradictoryAxioms for /export/starexec/sandbox2/benchmark/theBenchmark.p : 5085 ms resp. 4372 ms w/o parsing
% 17.95/5.66 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 17.95/5.66 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------