%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ093^5 : 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 : n002.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 : Wed Sep 30 08:20:46 AM UTC 2026
% Result : Theorem 4.64s 2.05s
% Output : Refutation 4.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 97 ( 96 equ; 0 cnn)
% Maximal formula atoms : 32 ( 24 avg)
% Number of connectives : 323 ( 38 ~; 15 |; 57 &; 192 @)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 18 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 2 ( 0 usr; 1 con; 0-2 aty)
% Number of variables : 39 ( 0 ^; 3 !; 36 ?; 39 :)
% Comments :
%------------------------------------------------------------------------------
thf(1,conjecture,
? [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i] :
! [M: $i > $i] :
( ( ( ( ( ( M @ A )
= ( M @ B ) )
& ( ( M @ C )
= ( M @ D ) )
& ( ( M @ I )
= ( M @ L ) ) )
=> ( ( M @ E )
= ( M @ H ) ) )
& ( ( ( ( M @ A )
= ( M @ B ) )
& ( ( M @ K )
= ( M @ L ) )
& ( ( M @ C )
= ( M @ F ) ) )
=> ( ( M @ G )
!= ( M @ J ) ) )
& ( ( ( ( M @ E )
= ( M @ F ) )
& ( ( M @ F )
= ( M @ G ) )
& ( ( M @ G )
= ( M @ H ) )
& ( ( M @ A )
!= ( M @ D ) ) )
=> ( ( M @ I )
!= ( M @ L ) ) )
& ( ( ( ( M @ A )
= ( M @ B ) )
& ( ( M @ G )
= ( M @ H ) )
& ( ( M @ C )
!= ( M @ F ) ) )
=> ( ( M @ I )
= ( M @ L ) ) )
& ( ( ( ( M @ I )
= ( M @ J ) )
& ( ( M @ K )
= ( M @ L ) )
& ( ( M @ E )
= ( M @ H ) ) )
=> ( ( M @ A )
!= ( M @ D ) ) )
& ( ( ( ( M @ C )
= ( M @ D ) )
& ( ( M @ D )
= ( M @ E ) )
& ( ( M @ E )
= ( M @ F ) )
& ( ( M @ I )
!= ( M @ L ) ) )
=> ( ( M @ G )
= ( M @ J ) ) ) )
=> ( ( ( M @ A )
!= ( M @ B ) )
| ( ( M @ C )
!= ( M @ D ) )
| ( ( M @ E )
!= ( M @ F ) )
| ( ( M @ G )
!= ( M @ H ) )
| ( ( M @ I )
!= ( M @ J ) )
| ( ( M @ K )
!= ( M @ L ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cSIXFRIENDS_PTH) ).
thf(2,negated_conjecture,
~ ? [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i] :
! [M: $i > $i] :
( ( ( ( ( ( M @ A )
= ( M @ B ) )
& ( ( M @ C )
= ( M @ D ) )
& ( ( M @ I )
= ( M @ L ) ) )
=> ( ( M @ E )
= ( M @ H ) ) )
& ( ( ( ( M @ A )
= ( M @ B ) )
& ( ( M @ K )
= ( M @ L ) )
& ( ( M @ C )
= ( M @ F ) ) )
=> ( ( M @ G )
!= ( M @ J ) ) )
& ( ( ( ( M @ E )
= ( M @ F ) )
& ( ( M @ F )
= ( M @ G ) )
& ( ( M @ G )
= ( M @ H ) )
& ( ( M @ A )
!= ( M @ D ) ) )
=> ( ( M @ I )
!= ( M @ L ) ) )
& ( ( ( ( M @ A )
= ( M @ B ) )
& ( ( M @ G )
= ( M @ H ) )
& ( ( M @ C )
!= ( M @ F ) ) )
=> ( ( M @ I )
= ( M @ L ) ) )
& ( ( ( ( M @ I )
= ( M @ J ) )
& ( ( M @ K )
= ( M @ L ) )
& ( ( M @ E )
= ( M @ H ) ) )
=> ( ( M @ A )
!= ( M @ D ) ) )
& ( ( ( ( M @ C )
= ( M @ D ) )
& ( ( M @ D )
= ( M @ E ) )
& ( ( M @ E )
= ( M @ F ) )
& ( ( M @ I )
!= ( M @ L ) ) )
=> ( ( M @ G )
= ( M @ J ) ) ) )
=> ( ( ( M @ A )
!= ( M @ B ) )
| ( ( M @ C )
!= ( M @ D ) )
| ( ( M @ E )
!= ( M @ F ) )
| ( ( M @ G )
!= ( M @ H ) )
| ( ( M @ I )
!= ( M @ J ) )
| ( ( M @ K )
!= ( M @ L ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ? [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i] :
! [M: $i > $i] :
( ( ( ( ( ( M @ A )
= ( M @ B ) )
& ( ( M @ C )
= ( M @ D ) )
& ( ( M @ I )
= ( M @ L ) ) )
=> ( ( M @ E )
= ( M @ H ) ) )
& ( ( ( ( M @ A )
= ( M @ B ) )
& ( ( M @ K )
= ( M @ L ) )
& ( ( M @ C )
= ( M @ F ) ) )
=> ( ( M @ G )
!= ( M @ J ) ) )
& ( ( ( ( M @ E )
= ( M @ F ) )
& ( ( M @ F )
= ( M @ G ) )
& ( ( M @ G )
= ( M @ H ) )
& ( ( M @ A )
!= ( M @ D ) ) )
=> ( ( M @ I )
!= ( M @ L ) ) )
& ( ( ( ( M @ A )
= ( M @ B ) )
& ( ( M @ G )
= ( M @ H ) )
& ( ( M @ C )
!= ( M @ F ) ) )
=> ( ( M @ I )
= ( M @ L ) ) )
& ( ( ( ( M @ I )
= ( M @ J ) )
& ( ( M @ K )
= ( M @ L ) )
& ( ( M @ E )
= ( M @ H ) ) )
=> ( ( M @ A )
!= ( M @ D ) ) )
& ( ( ( ( M @ C )
= ( M @ D ) )
& ( ( M @ D )
= ( M @ E ) )
& ( ( M @ E )
= ( M @ F ) )
& ( ( M @ I )
!= ( M @ L ) ) )
=> ( ( M @ G )
= ( M @ J ) ) ) )
=> ( ( ( M @ A )
!= ( M @ B ) )
| ( ( M @ C )
!= ( M @ D ) )
| ( ( M @ E )
!= ( M @ F ) )
| ( ( M @ G )
!= ( M @ H ) )
| ( ( M @ I )
!= ( M @ J ) )
| ( ( M @ K )
!= ( M @ L ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(51,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ093^5 : 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
% 0.11/0.21 % Computer : n002.cluster.edu
% 0.11/0.21 % Model : x86_64 x86_64
% 0.11/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.21 % Memory : 8046.5625MB
% 0.11/0.21 % OS : Linux 6.8.0-71-generic
% 0.11/0.21 % CPULimit : 300
% 0.11/0.21 % WCLimit : 300
% 0.11/0.21 % DateTime : Tue Sep 29 13:24:22 UTC 2026
% 0.11/0.21 % CPUTime :
% 0.11/0.21 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
% 0.64/0.55 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.98/0.65 % [INFO] Parsing done (105ms).
% 0.98/0.66 % [INFO] Running in sequential loop mode.
% 1.37/0.88 % [INFO] eprover registered as external prover.
% 1.37/0.88 % [INFO] Scanning for conjecture ...
% 1.60/0.95 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.60/1.00 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.60/1.00 % [INFO] Problem is higher-order (TPTP THF).
% 1.60/1.01 % [INFO] Type checking passed.
% 1.60/1.02 % [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 ...
% 4.64/2.04 % External prover 'e' found a proof!
% 4.64/2.04 % [INFO] Killing All external provers ...
% 4.64/2.04 % Time passed: 1722ms (effective reasoning time: 1379ms)
% 4.64/2.04 % 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)>
% 4.64/2.05 % Axioms used in derivation (0):
% 4.64/2.05 % No. of inferences in proof: 4
% 4.64/2.05 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1722 ms resp. 1379 ms w/o parsing
% 4.64/2.09 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.64/2.09 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------