%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : NUM632+3 : 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 08:09:21 AM UTC 2026
% Result : Theorem 40.68s 11.33s
% Output : Refutation 40.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 26 ( 16 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 93 ( 3 ~; 0 |; 12 &; 78 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(aElementOf0_decl,type,
aElementOf0: $i > $i > $o ).
thf(szNzAzT0_decl,type,
szNzAzT0: $i ).
thf(sdtlbdtrb0_decl,type,
sdtlbdtrb0: $i > $i > $i ).
thf(szDzozmdt0_decl,type,
szDzozmdt0: $i > $i ).
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(xe_decl,type,
xe: $i ).
thf(xp_decl,type,
xp: $i ).
thf(106,axiom,
( ( xQ @ ( xc @ sdtlpdtrp0 ) )
= ( xn @ ( xd @ sdtlpdtrp0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5568) ).
thf(898,plain,
( ( xQ @ ( xc @ sdtlpdtrp0 ) )
= ( xn @ ( xd @ sdtlpdtrp0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(899,plain,
( ( xn @ ( xd @ sdtlpdtrp0 ) )
= ( xQ @ ( xc @ sdtlpdtrp0 ) ) ),
inference(lifteq,[status(thm)],[898]) ).
thf(86,axiom,
( ( ( xn @ ( xe @ sdtlpdtrp0 ) )
= xp )
& ( szNzAzT0 @ ( xn @ aElementOf0 ) )
& ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( xn @ aElementOf0 ) )
& ( ( xn @ ( xd @ sdtlpdtrp0 ) )
= ( xd @ szDzizrdt0 ) )
& ( xd @ szDzozmdt0 @ ( xn @ aElementOf0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5309) ).
thf(554,plain,
( ( ( xn @ ( xe @ sdtlpdtrp0 ) )
= xp )
& ( szNzAzT0 @ ( xn @ aElementOf0 ) )
& ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( xn @ aElementOf0 ) )
& ( ( xn @ ( xd @ sdtlpdtrp0 ) )
= ( xd @ szDzizrdt0 ) )
& ( xd @ szDzozmdt0 @ ( xn @ aElementOf0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(555,plain,
( ( ( xn @ ( xe @ sdtlpdtrp0 ) )
= xp )
& ( szNzAzT0 @ ( xn @ aElementOf0 ) )
& ( xd @ szDzizrdt0 @ ( xd @ sdtlbdtrb0 ) @ ( xn @ aElementOf0 ) )
& ( ( xn @ ( xd @ sdtlpdtrp0 ) )
= ( xd @ szDzizrdt0 ) )
& ( xd @ szDzozmdt0 @ ( xn @ aElementOf0 ) ) ),
inference(cnf,[status(esa)],[554]) ).
thf(560,plain,
( ( xn @ ( xd @ sdtlpdtrp0 ) )
= ( xd @ szDzizrdt0 ) ),
inference(cnfConj,[status(thm)],[555]) ).
thf(562,plain,
( ( xn @ ( xd @ sdtlpdtrp0 ) )
= ( xd @ szDzizrdt0 ) ),
inference(lifteq,[status(thm)],[560]) ).
thf(6261,plain,
( ( xQ @ ( xc @ sdtlpdtrp0 ) )
= ( xd @ szDzizrdt0 ) ),
inference(rewrite,[status(thm)],[899,562]) ).
thf(1,conjecture,
( ( xQ @ ( xc @ sdtlpdtrp0 ) )
= ( xd @ szDzizrdt0 ) ),
file('/export/starexec/sandbox2/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(6262,plain,
$false,
inference(simplifyReflect,[status(thm)],[6261,118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM632+3 : 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
% 0.13/0.39 % Computer : n006.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sat Sep 26 03:30:55 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 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
% 0.87/0.98 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.46/1.29 % [INFO] Parsing done (307ms).
% 1.96/1.31 % [INFO] Running in sequential loop mode.
% 2.77/1.71 % [INFO] eprover registered as external prover.
% 2.77/1.72 % [INFO] Scanning for conjecture ...
% 2.77/1.79 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.97/1.80 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.97/1.82 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.97/1.82 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.97/1.84 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.97/1.85 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.97/1.85 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.97/1.86 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.97/1.87 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.97/1.87 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.97/1.88 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.21/1.94 % [INFO] Found a conjecture (or negated_conjecture) and 114 axioms. Running axiom selection ...
% 3.63/2.07 % [INFO] Axiom selection finished. Selected 114 axioms (removed 0 axioms).
% 3.63/2.08 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.63/2.11 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.63/2.11 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.63/2.12 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.63/2.13 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.63/2.14 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.63/2.14 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.63/2.14 % [INFO] Definitions in FOF are currently treated as axioms.
% 4.08/2.16 % [INFO] Definitions in FOF are currently treated as axioms.
% 4.08/2.18 % [INFO] Definitions in FOF are currently treated as axioms.
% 4.08/2.19 % [INFO] Definitions in FOF are currently treated as axioms.
% 4.19/2.23 % [INFO] Problem is first-order (TPTP FOF).
% 4.19/2.26 % [INFO] Type checking passed.
% 4.19/2.26 % [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 ...
% 40.68/11.32 % [INFO] Killing All external provers ...
% 40.68/11.33 % Time passed: 10784ms (effective reasoning time: 10009ms)
% 40.68/11.33 % 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)>
% 40.68/11.33 % Axioms used in derivation (2): m__5568, m__5309
% 40.68/11.33 % No. of inferences in proof: 14
% 40.68/11.33 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 10784 ms resp. 10009 ms w/o parsing
% 40.68/11.35 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 40.68/11.35 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------