%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : RNG074+1 : TPTP v9.3.1. Released v4.0.0.
% 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 : n009.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 08:25:24 AM UTC 2026
% Result : ContradictoryAxioms 18.64s 10.86s
% Output : Refutation 18.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 12 ( 3 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 59 ( 5 ~; 0 |; 0 &; 54 @)
% ( 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 : 8 ( 5 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(sdtpldt0_decl,type,
sdtpldt0: $i > $i > $i ).
thf(sdtlseqdt0_decl,type,
sdtlseqdt0: $i > $i > $o ).
thf(xR_decl,type,
xR: $i ).
thf(xP_decl,type,
xP: $i ).
thf(xS_decl,type,
xS: $i ).
thf(62,axiom,
~ ( xS @ ( xR @ sdtpldt0 ) @ ( xP @ ( xP @ sdtpldt0 ) @ sdtlseqdt0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2590) ).
thf(287,plain,
~ ( xS @ ( xR @ sdtpldt0 ) @ ( xP @ ( xP @ sdtpldt0 ) @ sdtlseqdt0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(288,plain,
~ ( xS @ ( xR @ sdtpldt0 ) @ ( xP @ ( xP @ sdtpldt0 ) @ sdtlseqdt0 ) ),
inference(polarity_switch,[status(thm)],[287]) ).
thf(66,axiom,
( ( xS @ ( xR @ sdtpldt0 ) )
= ( xP @ ( xP @ sdtpldt0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2679) ).
thf(295,plain,
( ( xS @ ( xR @ sdtpldt0 ) )
= ( xP @ ( xP @ sdtpldt0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(296,plain,
( ( xP @ ( xP @ sdtpldt0 ) )
= ( xS @ ( xR @ sdtpldt0 ) ) ),
inference(lifteq,[status(thm)],[295]) ).
thf(1765,plain,
~ ( xS @ ( xR @ sdtpldt0 ) @ ( xS @ ( xR @ sdtpldt0 ) @ sdtlseqdt0 ) ),
inference(rewrite,[status(thm)],[288,296]) ).
thf(63,axiom,
xP @ ( xP @ sdtpldt0 ) @ ( xS @ ( xR @ sdtpldt0 ) @ sdtlseqdt0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2610) ).
thf(289,plain,
xP @ ( xP @ sdtpldt0 ) @ ( xS @ ( xR @ sdtpldt0 ) @ sdtlseqdt0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(2456,plain,
xS @ ( xR @ sdtpldt0 ) @ ( xS @ ( xR @ sdtpldt0 ) @ sdtlseqdt0 ),
inference(rewrite,[status(thm)],[289,296]) ).
thf(2457,plain,
~ $true,
inference(rewrite,[status(thm)],[1765,2456]) ).
thf(2458,plain,
$false,
inference(simp,[status(thm)],[2457]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG074+1 : TPTP v9.3.1. Released v4.0.0.
% 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
% 0.15/5.41 % Computer : n009.cluster.edu
% 0.15/5.41 % Model : x86_64 x86_64
% 0.15/5.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.41 % Memory : 8046.5625MB
% 0.15/5.41 % OS : Linux 6.8.0-71-generic
% 0.15/5.41 % CPULimit : 300
% 0.15/5.41 % WCLimit : 300
% 0.15/5.41 % DateTime : Sat Sep 26 05:59:21 UTC 2026
% 0.15/5.41 % CPUTime :
% 0.15/5.41 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
% 0.18/6.02 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.39/6.26 % [INFO] Parsing done (234ms).
% 1.39/6.27 % [INFO] Running in sequential loop mode.
% 2.20/6.67 % [INFO] eprover registered as external prover.
% 2.20/6.68 % [INFO] Scanning for conjecture ...
% 2.43/6.77 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.65/6.81 % [INFO] Found a conjecture (or negated_conjecture) and 64 axioms. Running axiom selection ...
% 2.65/6.84 % [INFO] Axiom selection finished. Selected 64 axioms (removed 0 axioms).
% 2.65/6.85 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.85/6.95 % [INFO] Problem is first-order (TPTP FOF).
% 2.85/6.97 % [INFO] Type checking passed.
% 2.85/6.97 % [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 ...
% 18.64/10.85 % [INFO] Killing All external provers ...
% 18.64/10.85 % Time passed: 5289ms (effective reasoning time: 4573ms)
% 18.64/10.86 % Axioms used in derivation (3): m__2590, m__2679, m__2610
% 18.64/10.86 % No. of inferences in proof: 12
% 18.64/10.86 % SZS status ContradictoryAxioms for /export/starexec/sandbox/benchmark/theBenchmark.p : 5289 ms resp. 4573 ms w/o parsing
% 18.64/10.88 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 18.64/10.88 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------