%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : NUM632+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 : n026.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 08:09:21 AM UTC 2026
% Result : Theorem 48.79s 13.40s
% Output : Refutation 48.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 12 ( 11 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 39 ( 3 ~; 0 |; 0 &; 36 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(sdtlpdtrp0_decl,type,
sdtlpdtrp0: $i > $i > $i ).
thf(xc_decl,type,
xc: $i ).
thf(xQ_decl,type,
xQ: $i ).
thf(szDzizrdt0_decl,type,
szDzizrdt0: $i > $i ).
thf(xd_decl,type,
xd: $i ).
thf(xn_decl,type,
xn: $i ).
thf(80,axiom,
( ( xQ @ ( xc @ sdtlpdtrp0 ) )
= ( xn @ ( xd @ sdtlpdtrp0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5568) ).
thf(486,plain,
( ( xQ @ ( xc @ sdtlpdtrp0 ) )
= ( xn @ ( xd @ sdtlpdtrp0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(487,plain,
( ( xn @ ( xd @ sdtlpdtrp0 ) )
= ( xQ @ ( xc @ sdtlpdtrp0 ) ) ),
inference(lifteq,[status(thm)],[486]) ).
thf(100,axiom,
( ( xn @ ( xd @ sdtlpdtrp0 ) )
= ( xd @ szDzizrdt0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5321) ).
thf(619,plain,
( ( xn @ ( xd @ sdtlpdtrp0 ) )
= ( xd @ szDzizrdt0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(620,plain,
( ( xn @ ( xd @ sdtlpdtrp0 ) )
= ( xd @ szDzizrdt0 ) ),
inference(lifteq,[status(thm)],[619]) ).
thf(4876,plain,
( ( xQ @ ( xc @ sdtlpdtrp0 ) )
= ( xd @ szDzizrdt0 ) ),
inference(rewrite,[status(thm)],[487,620]) ).
thf(1,conjecture,
( ( xQ @ ( xc @ sdtlpdtrp0 ) )
= ( xd @ szDzizrdt0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
thf(2,negated_conjecture,
( ( xQ @ ( xc @ sdtlpdtrp0 ) )
!= ( xd @ szDzizrdt0 ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(117,plain,
( ( xQ @ ( xc @ sdtlpdtrp0 ) )
!= ( xd @ szDzizrdt0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(118,plain,
( ( xQ @ ( xc @ sdtlpdtrp0 ) )
!= ( xd @ szDzizrdt0 ) ),
inference(lifteq,[status(thm)],[117]) ).
thf(4877,plain,
$false,
inference(simplifyReflect,[status(thm)],[4876,118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM632+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
% 0.14/0.40 % Computer : n026.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sat Sep 26 03:33:55 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 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
% 1.31/1.29 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 2.49/1.74 % [INFO] Parsing done (442ms).
% 2.49/1.76 % [INFO] Running in sequential loop mode.
% 3.98/2.38 % [INFO] eprover registered as external prover.
% 3.98/2.39 % [INFO] Scanning for conjecture ...
% 4.24/2.49 % [INFO] Definitions in FOF are currently treated as axioms.
% 4.43/2.51 % [INFO] Definitions in FOF are currently treated as axioms.
% 4.43/2.54 % [INFO] Definitions in FOF are currently treated as axioms.
% 4.43/2.55 % [INFO] Definitions in FOF are currently treated as axioms.
% 4.43/2.57 % [INFO] Definitions in FOF are currently treated as axioms.
% 4.43/2.58 % [INFO] Definitions in FOF are currently treated as axioms.
% 4.43/2.59 % [INFO] Definitions in FOF are currently treated as axioms.
% 4.68/2.60 % [INFO] Definitions in FOF are currently treated as axioms.
% 4.68/2.61 % [INFO] Definitions in FOF are currently treated as axioms.
% 4.68/2.62 % [INFO] Definitions in FOF are currently treated as axioms.
% 4.68/2.63 % [INFO] Definitions in FOF are currently treated as axioms.
% 4.68/2.69 % [INFO] Found a conjecture (or negated_conjecture) and 114 axioms. Running axiom selection ...
% 5.10/2.87 % [INFO] Axiom selection finished. Selected 114 axioms (removed 0 axioms).
% 5.10/2.88 % [INFO] Definitions in FOF are currently treated as axioms.
% 5.42/2.93 % [INFO] Definitions in FOF are currently treated as axioms.
% 5.42/2.93 % [INFO] Definitions in FOF are currently treated as axioms.
% 5.42/2.94 % [INFO] Definitions in FOF are currently treated as axioms.
% 5.42/2.95 % [INFO] Definitions in FOF are currently treated as axioms.
% 5.42/2.97 % [INFO] Definitions in FOF are currently treated as axioms.
% 5.42/2.97 % [INFO] Definitions in FOF are currently treated as axioms.
% 5.42/2.98 % [INFO] Definitions in FOF are currently treated as axioms.
% 5.42/3.01 % [INFO] Definitions in FOF are currently treated as axioms.
% 5.42/3.02 % [INFO] Definitions in FOF are currently treated as axioms.
% 5.86/3.06 % [INFO] Definitions in FOF are currently treated as axioms.
% 5.86/3.06 % [INFO] Problem is first-order (TPTP FOF).
% 5.86/3.09 % [INFO] Type checking passed.
% 5.86/3.09 % [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 ...
% 48.30/13.39 % [INFO] Killing All external provers ...
% 48.30/13.40 % Time passed: 12765ms (effective reasoning time: 11617ms)
% 48.30/13.40 % 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)>
% 48.79/13.40 % Axioms used in derivation (2): m__5568, m__5321
% 48.79/13.40 % No. of inferences in proof: 12
% 48.79/13.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 12765 ms resp. 11617 ms w/o parsing
% 48.79/13.44 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 48.79/13.44 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------