%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : RNG074+2 : 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 : n012.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 11.00s 3.35s
% Output : Refutation 11.00s
% 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(295,plain,
~ ( xS @ ( xR @ sdtpldt0 ) @ ( xP @ ( xP @ sdtpldt0 ) @ sdtlseqdt0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(296,plain,
~ ( xS @ ( xR @ sdtpldt0 ) @ ( xP @ ( xP @ sdtpldt0 ) @ sdtlseqdt0 ) ),
inference(polarity_switch,[status(thm)],[295]) ).
thf(66,axiom,
( ( xS @ ( xR @ sdtpldt0 ) )
= ( xP @ ( xP @ sdtpldt0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2679) ).
thf(303,plain,
( ( xS @ ( xR @ sdtpldt0 ) )
= ( xP @ ( xP @ sdtpldt0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(304,plain,
( ( xP @ ( xP @ sdtpldt0 ) )
= ( xS @ ( xR @ sdtpldt0 ) ) ),
inference(lifteq,[status(thm)],[303]) ).
thf(2306,plain,
~ ( xS @ ( xR @ sdtpldt0 ) @ ( xS @ ( xR @ sdtpldt0 ) @ sdtlseqdt0 ) ),
inference(rewrite,[status(thm)],[296,304]) ).
thf(63,axiom,
xP @ ( xP @ sdtpldt0 ) @ ( xS @ ( xR @ sdtpldt0 ) @ sdtlseqdt0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2610) ).
thf(297,plain,
xP @ ( xP @ sdtpldt0 ) @ ( xS @ ( xR @ sdtpldt0 ) @ sdtlseqdt0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(2649,plain,
xS @ ( xR @ sdtpldt0 ) @ ( xS @ ( xR @ sdtpldt0 ) @ sdtlseqdt0 ),
inference(rewrite,[status(thm)],[297,304]) ).
thf(2686,plain,
~ $true,
inference(rewrite,[status(thm)],[2306,2649]) ).
thf(2687,plain,
$false,
inference(simp,[status(thm)],[2686]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : RNG074+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % 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
% 0.06/0.33 % Computer : n012.cluster.edu
% 0.06/0.33 % Model : x86_64 x86_64
% 0.06/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.33 % Memory : 8046.5625MB
% 0.06/0.33 % OS : Linux 6.8.0-71-generic
% 0.06/0.33 % CPULimit : 300
% 0.06/0.33 % WCLimit : 300
% 0.06/0.33 % DateTime : Sat Sep 26 05:58:34 UTC 2026
% 0.06/0.33 % CPUTime :
% 0.06/0.33 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
% 0.51/0.62 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.66/0.74 % [INFO] Parsing done (115ms).
% 0.66/0.74 % [INFO] Running in sequential loop mode.
% 1.17/0.94 % [INFO] eprover registered as external prover.
% 1.17/0.95 % [INFO] Scanning for conjecture ...
% 1.17/0.99 % [INFO] Definitions in FOF are currently treated as axioms.
% 1.17/1.01 % [INFO] Found a conjecture (or negated_conjecture) and 64 axioms. Running axiom selection ...
% 1.42/1.03 % [INFO] Axiom selection finished. Selected 64 axioms (removed 0 axioms).
% 1.42/1.03 % [INFO] Definitions in FOF are currently treated as axioms.
% 1.42/1.09 % [INFO] Problem is first-order (TPTP FOF).
% 1.42/1.09 % [INFO] Type checking passed.
% 1.42/1.10 % [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 ...
% 11.00/3.35 % [INFO] Killing All external provers ...
% 11.00/3.35 % Time passed: 2945ms (effective reasoning time: 2603ms)
% 11.00/3.35 % Axioms used in derivation (3): m__2590, m__2679, m__2610
% 11.00/3.35 % No. of inferences in proof: 12
% 11.00/3.35 % SZS status ContradictoryAxioms for /export/starexec/sandbox/benchmark/theBenchmark.p : 2945 ms resp. 2603 ms w/o parsing
% 11.00/3.37 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.00/3.37 % [INFO] Killing All external provers ...
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