%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : ALG298^5 : 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 : n017.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 07:45:09 AM UTC 2026
% Result : Theorem 3.72s 2.16s
% Output : Refutation 3.89s
% 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 : 16 ( 15 equ; 0 cnn)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 89 ( 2 ~; 0 |; 9 &; 75 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 8 avg)
% Number of types : 3 ( 3 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 36 ( 0 ^; 33 !; 3 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_type,type,
c: $tType ).
thf(b_type,type,
b: $tType ).
thf(a_type,type,
a: $tType ).
thf(c_starc_decl,type,
c_starc: c > c > c ).
thf(c_starb_decl,type,
c_starb: b > b > b ).
thf(c_stara_decl,type,
c_stara: a > a > a ).
thf(1,conjecture,
! [A: a > b,B: a > c,C: b > c] :
( ( ! [D: a] :
( ( C @ ( A @ D ) )
= ( B @ D ) )
& ! [D: b] :
? [E: a] :
( ( A @ E )
= D )
& ! [D: a,E: a] :
( ( A @ ( c_stara @ D @ E ) )
= ( c_starb @ ( A @ D ) @ ( A @ E ) ) )
& ! [D: a,E: a] :
( ( B @ ( c_stara @ D @ E ) )
= ( c_starc @ ( B @ D ) @ ( B @ E ) ) ) )
=> ! [D: b,E: b] :
( ( C @ ( c_starb @ D @ E ) )
= ( c_starc @ ( C @ D ) @ ( C @ E ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM270_pme) ).
thf(2,negated_conjecture,
~ ! [A: a > b,B: a > c,C: b > c] :
( ( ! [D: a] :
( ( C @ ( A @ D ) )
= ( B @ D ) )
& ! [D: b] :
? [E: a] :
( ( A @ E )
= D )
& ! [D: a,E: a] :
( ( A @ ( c_stara @ D @ E ) )
= ( c_starb @ ( A @ D ) @ ( A @ E ) ) )
& ! [D: a,E: a] :
( ( B @ ( c_stara @ D @ E ) )
= ( c_starc @ ( B @ D ) @ ( B @ E ) ) ) )
=> ! [D: b,E: b] :
( ( C @ ( c_starb @ D @ E ) )
= ( c_starc @ ( C @ D ) @ ( C @ E ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > b,B: a > c,C: b > c] :
( ( ! [D: a] :
( ( C @ ( A @ D ) )
= ( B @ D ) )
& ! [D: b] :
? [E: a] :
( ( A @ E )
= D )
& ! [D: a,E: a] :
( ( A @ ( c_stara @ D @ E ) )
= ( c_starb @ ( A @ D ) @ ( A @ E ) ) )
& ! [D: a,E: a] :
( ( B @ ( c_stara @ D @ E ) )
= ( c_starc @ ( B @ D ) @ ( B @ E ) ) ) )
=> ! [D: b,E: b] :
( ( C @ ( c_starb @ D @ E ) )
= ( c_starc @ ( C @ D ) @ ( C @ E ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(18,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG298^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % 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
% 0.09/0.20 % Computer : n017.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 17:33:22 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 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
% 0.89/0.79 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.25/0.99 % [INFO] Parsing done (191ms).
% 1.25/1.00 % [INFO] Running in sequential loop mode.
% 2.03/1.41 % [INFO] eprover registered as external prover.
% 2.03/1.42 % [INFO] Scanning for conjecture ...
% 2.22/1.53 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.22/1.57 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.22/1.57 % [INFO] Problem is higher-order (TPTP THF).
% 2.22/1.57 % [INFO] Type checking passed.
% 2.22/1.58 % [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 ...
% 3.72/2.16 % External prover 'e' found a proof!
% 3.72/2.16 % [INFO] Killing All external provers ...
% 3.72/2.16 % Time passed: 1806ms (effective reasoning time: 1153ms)
% 3.72/2.16 % 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)>
% 3.72/2.16 % Axioms used in derivation (0):
% 3.72/2.16 % No. of inferences in proof: 4
% 3.72/2.16 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1806 ms resp. 1153 ms w/o parsing
% 3.89/2.20 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.89/2.20 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------