%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SEV079^5 : 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 : n011.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 08:36:48 AM UTC 2026
% Result : Theorem 3.28s 2.02s
% Output : Refutation 3.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 12 unt; 0 typ; 3 def)
% Number of atoms : 33 ( 32 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 23 ( 9 ~; 0 |; 8 &; 0 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 15 ( 0 ^; 12 !; 0 ?; 15 :)
% ( 0 !>; 0 ?*; 0 @-; 3 @+)
% Comments :
%------------------------------------------------------------------------------
thf(sk1_decl,type,
sk1: $i ).
thf(sk2_decl,type,
sk2: $i ).
thf(sk3_decl,type,
sk3: $i ).
thf(sk1_def,definition,
( sk1
= ( @+[A: $i] :
~ ! [B: $i,C: $i] :
( ( ( A = B )
& ( B = C ) )
=> ( A = C ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: $i] :
~ ! [B: $i] :
( ( ( sk1 = A )
& ( A = B ) )
=> ( sk1 = B ) ) ) ) ).
thf(sk3_def,definition,
( sk3
= ( @+[A: $i] :
~ ( ( ( sk1 = sk2 )
& ( sk2 = A ) )
=> ( sk1 = A ) ) ) ) ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( B = C ) )
=> ( A = C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTRANS_ID_pme) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( B = C ) )
=> ( A = C ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( B = C ) )
=> ( A = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
( ( sk1 = sk2 )
& ( sk2 = sk3 )
& ( sk1 != sk3 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(7,plain,
sk1 != sk3,
inference(cnfConj,[status(thm)],[4]) ).
thf(10,plain,
sk3 != sk1,
inference(lifteq,[status(thm)],[7]) ).
thf(6,plain,
sk2 = sk3,
inference(cnfConj,[status(thm)],[4]) ).
thf(9,plain,
sk3 = sk2,
inference(lifteq,[status(thm)],[6]) ).
thf(5,plain,
sk1 = sk2,
inference(cnfConj,[status(thm)],[4]) ).
thf(8,plain,
sk2 = sk1,
inference(lifteq,[status(thm)],[5]) ).
thf(11,plain,
sk3 = sk1,
inference(rewrite,[status(thm)],[9,8]) ).
thf(12,plain,
sk1 != sk1,
inference(rewrite,[status(thm)],[10,11]) ).
thf(13,plain,
$false,
inference(simp,[status(thm)],[12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV079^5 : 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
% 0.10/0.27 % Computer : n011.cluster.edu
% 0.10/0.27 % Model : x86_64 x86_64
% 0.10/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.27 % Memory : 8046.5625MB
% 0.10/0.27 % OS : Linux 6.8.0-71-generic
% 0.10/0.27 % CPULimit : 300
% 0.10/0.27 % WCLimit : 300
% 0.10/0.27 % DateTime : Tue Sep 29 15:06:46 UTC 2026
% 0.24/0.28 % CPUTime :
% 0.24/0.28 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
% 0.98/0.79 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.38/0.98 % [INFO] Parsing done (191ms).
% 1.38/1.00 % [INFO] Running in sequential loop mode.
% 2.05/1.39 % [INFO] eprover registered as external prover.
% 2.28/1.40 % [INFO] Scanning for conjecture ...
% 2.28/1.49 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.47/1.54 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.47/1.54 % [INFO] Problem is higher-order (TPTP THF).
% 2.47/1.55 % [INFO] Type checking passed.
% 2.47/1.56 % [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 ...
% 3.28/2.02 % [INFO] Killing All external provers ...
% 3.28/2.02 % Time passed: 1606ms (effective reasoning time: 1013ms)
% 3.28/2.02 % 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)>
% 3.28/2.02 % Axioms used in derivation (0):
% 3.28/2.02 % No. of inferences in proof: 13
% 3.28/2.02 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1606 ms resp. 1013 ms w/o parsing
% 3.73/2.06 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.73/2.06 % [INFO] Killing All external provers ...
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