%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : NUM626+3 : 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 : n008.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 08:09:20 AM UTC 2026
% Result : ContradictoryAxioms 17.80s 5.66s
% Output : Refutation 17.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 33 ( 14 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 68 ( 6 ~; 1 |; 15 &; 44 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 3 ( 0 ^; 3 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
thf(aElementOf0_decl,type,
aElementOf0: $i > $i > $o ).
thf(aElement0_decl,type,
aElement0: $i > $o ).
thf(szmzizndt0_decl,type,
szmzizndt0: $i > $i ).
thf(sdtlseqdt0_decl,type,
sdtlseqdt0: $i > $i > $o ).
thf(xx_decl,type,
xx: $i ).
thf(xP_decl,type,
xP: $i ).
thf(xp_decl,type,
xp: $i ).
thf(xQ_decl,type,
xQ: $i ).
thf(97,axiom,
( ( xp
= ( xQ @ szmzizndt0 ) )
& ! [A: $i] :
( ( xQ @ ( A @ aElementOf0 ) )
=> ( A @ ( xp @ sdtlseqdt0 ) ) )
& ( xQ @ ( xp @ aElementOf0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5147) ).
thf(878,plain,
( ( xp
= ( xQ @ szmzizndt0 ) )
& ! [A: $i] :
( ( xQ @ ( A @ aElementOf0 ) )
=> ( A @ ( xp @ sdtlseqdt0 ) ) )
& ( xQ @ ( xp @ aElementOf0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(879,plain,
! [A: $i] :
( ( xp
= ( xQ @ szmzizndt0 ) )
& ( ( A @ ( xp @ sdtlseqdt0 ) )
| ~ ( xQ @ ( A @ aElementOf0 ) ) )
& ( xQ @ ( xp @ aElementOf0 ) ) ),
inference(cnf,[status(esa)],[878]) ).
thf(882,plain,
( xp
= ( xQ @ szmzizndt0 ) ),
inference(cnfConj,[status(thm)],[879]) ).
thf(883,plain,
( ( xQ @ szmzizndt0 )
= xp ),
inference(lifteq,[status(thm)],[882]) ).
thf(108,axiom,
xp = xx,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5496) ).
thf(1003,plain,
xp = xx,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(1004,plain,
xp = xx,
inference(lifteq,[status(thm)],[1003]) ).
thf(1463,plain,
( ( xQ @ szmzizndt0 )
= xx ),
inference(rewrite,[status(thm)],[883,1004]) ).
thf(77,axiom,
( ( xP @ ( xx @ aElementOf0 ) )
& ( xx
!= ( xQ @ szmzizndt0 ) )
& ( xQ @ ( xx @ aElementOf0 ) )
& ( xx @ aElement0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5348) ).
thf(601,plain,
( ( xP @ ( xx @ aElementOf0 ) )
& ( xx
!= ( xQ @ szmzizndt0 ) )
& ( xQ @ ( xx @ aElementOf0 ) )
& ( xx @ aElement0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(602,plain,
( ( xP @ ( xx @ aElementOf0 ) )
& ( xx
!= ( xQ @ szmzizndt0 ) )
& ( xQ @ ( xx @ aElementOf0 ) )
& ( xx @ aElement0 ) ),
inference(cnf,[status(esa)],[601]) ).
thf(605,plain,
( xx
!= ( xQ @ szmzizndt0 ) ),
inference(cnfConj,[status(thm)],[602]) ).
thf(607,plain,
( ( xQ @ szmzizndt0 )
!= xx ),
inference(lifteq,[status(thm)],[605]) ).
thf(1464,plain,
$false,
inference(simplifyReflect,[status(thm)],[1463,607]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM626+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % 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
% 0.14/0.41 % Computer : n008.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sat Sep 26 03:30:55 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 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
% 0.84/0.99 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.89/1.31 % [INFO] Parsing done (317ms).
% 1.89/1.32 % [INFO] Running in sequential loop mode.
% 2.83/1.72 % [INFO] eprover registered as external prover.
% 2.83/1.73 % [INFO] Scanning for conjecture ...
% 2.83/1.79 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.02/1.80 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.02/1.82 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.02/1.82 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.02/1.84 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.02/1.84 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.02/1.85 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.02/1.86 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.02/1.86 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.02/1.87 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.02/1.87 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.26/1.93 % [INFO] Found a conjecture (or negated_conjecture) and 121 axioms. Running axiom selection ...
% 3.60/2.06 % [INFO] Axiom selection finished. Selected 120 axioms (removed 1 axioms).
% 3.60/2.09 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.60/2.13 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.98/2.14 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.98/2.15 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.98/2.15 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.98/2.15 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.98/2.17 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.98/2.18 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.98/2.18 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.98/2.19 % [INFO] Definitions in FOF are currently treated as axioms.
% 4.11/2.20 % [INFO] Definitions in FOF are currently treated as axioms.
% 4.11/2.21 % [INFO] Problem is first-order (TPTP FOF).
% 4.11/2.23 % [INFO] Type checking passed.
% 4.11/2.23 % [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 ...
% 17.80/5.65 % [INFO] Killing All external provers ...
% 17.80/5.66 % Time passed: 5097ms (effective reasoning time: 4321ms)
% 17.80/5.66 % Axioms used in derivation (3): m__5147, m__5496, m__5348
% 17.80/5.66 % No. of inferences in proof: 15
% 17.80/5.66 % SZS status ContradictoryAxioms for /export/starexec/sandbox/benchmark/theBenchmark.p : 5097 ms resp. 4321 ms w/o parsing
% 17.80/5.68 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 17.80/5.68 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------