%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ092^5 : 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 : 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 : Wed Sep 30 08:20:46 AM UTC 2026
% Result : Theorem 3.85s 2.27s
% Output : Refutation 4.17s
% 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 : 131 ( 38 ~; 15 |; 57 &; 0 @)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 17 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 2 ( 0 usr; 1 con; 0-2 aty)
% Number of variables : 36 ( 0 ^; 36 !; 0 ?; 36 :)
% 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] :
( ( ( ( ( A = B )
& ( C = D )
& ( I = L ) )
=> ( E = H ) )
& ( ( ( A = B )
& ( K = L )
& ( C = F ) )
=> ( G != J ) )
& ( ( ( E = F )
& ( G = H )
& ( G = E )
& ( A != D ) )
=> ( I != L ) )
& ( ( ( A = B )
& ( G = H )
& ( C != F ) )
=> ( I = L ) )
& ( ( ( I = J )
& ( K = L )
& ( E = H ) )
=> ( A != D ) )
& ( ( ( C = D )
& ( E = F )
& ( E = C )
& ( I != L ) )
=> ( G = J ) ) )
=> ( ( A != B )
| ( C != D )
| ( E != F )
| ( G != H )
| ( I != J )
| ( K != L ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cSIXFRIENDS_EASIER) ).
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] :
( ( ( ( ( A = B )
& ( C = D )
& ( I = L ) )
=> ( E = H ) )
& ( ( ( A = B )
& ( K = L )
& ( C = F ) )
=> ( G != J ) )
& ( ( ( E = F )
& ( G = H )
& ( G = E )
& ( A != D ) )
=> ( I != L ) )
& ( ( ( A = B )
& ( G = H )
& ( C != F ) )
=> ( I = L ) )
& ( ( ( I = J )
& ( K = L )
& ( E = H ) )
=> ( A != D ) )
& ( ( ( C = D )
& ( E = F )
& ( E = C )
& ( I != L ) )
=> ( G = J ) ) )
=> ( ( A != B )
| ( C != D )
| ( E != F )
| ( G != H )
| ( I != J )
| ( K != 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] :
( ( ( ( ( A = B )
& ( C = D )
& ( I = L ) )
=> ( E = H ) )
& ( ( ( A = B )
& ( K = L )
& ( C = F ) )
=> ( G != J ) )
& ( ( ( E = F )
& ( G = H )
& ( G = E )
& ( A != D ) )
=> ( I != L ) )
& ( ( ( A = B )
& ( G = H )
& ( C != F ) )
=> ( I = L ) )
& ( ( ( I = J )
& ( K = L )
& ( E = H ) )
=> ( A != D ) )
& ( ( ( C = D )
& ( E = F )
& ( E = C )
& ( I != L ) )
=> ( G = J ) ) )
=> ( ( A != B )
| ( C != D )
| ( E != F )
| ( G != H )
| ( I != J )
| ( K != L ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(31,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ092^5 : 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
% 0.10/0.21 % Computer : n026.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Tue Sep 29 13:24:57 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 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
% 0.89/0.78 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.22/0.98 % [INFO] Parsing done (192ms).
% 1.22/0.99 % [INFO] Running in sequential loop mode.
% 2.06/1.40 % [INFO] eprover registered as external prover.
% 2.06/1.41 % [INFO] Scanning for conjecture ...
% 2.29/1.52 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.29/1.58 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.29/1.58 % [INFO] Problem is higher-order (TPTP THF).
% 2.29/1.58 % [INFO] Type checking passed.
% 2.29/1.59 % [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 ...
% 3.85/2.26 % External prover 'e' found a proof!
% 3.85/2.26 % [INFO] Killing All external provers ...
% 3.85/2.26 % Time passed: 1918ms (effective reasoning time: 1264ms)
% 3.85/2.26 % 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)>
% 3.85/2.26 % Axioms used in derivation (0):
% 3.85/2.26 % No. of inferences in proof: 4
% 3.85/2.27 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1918 ms resp. 1264 ms w/o parsing
% 4.17/2.30 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.17/2.30 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------