%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN132-1 : TPTP v9.3.1. Released v1.1.0.
% 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 : n009.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 09:16:52 AM UTC 2026
% Result : Unsatisfiable 20.07s 5.99s
% Output : Refutation 20.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 13 ( 2 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 34 ( 6 ~; 1 |; 0 &; 27 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 4 con; 0-3 aty)
% Number of variables : 9 ( 0 ^; 9 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
thf(m0_decl,type,
m0: $i > $i > $i > $o ).
thf(e_decl,type,
e: $i ).
thf(a_decl,type,
a: $i ).
thf(342,axiom,
! [A: $i] : ( a @ ( A @ ( a @ m0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
thf(1015,plain,
! [A: $i] : ( a @ ( A @ ( a @ m0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[342]) ).
thf(1,negated_conjecture,
! [A: $i] :
~ ( a @ ( e @ ( A @ m0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
thf(370,plain,
! [A: $i] :
~ ( a @ ( e @ ( A @ m0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(371,plain,
! [A: $i] :
~ ( a @ ( e @ ( A @ m0 ) ) ),
inference(polarity_switch,[status(thm)],[370]) ).
thf(1348,plain,
! [B: $i,A: $i] :
( ( ( a @ ( A @ ( a @ m0 ) ) )
!= ( a @ ( e @ ( B @ m0 ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1015,371]) ).
thf(1349,plain,
! [B: $i,A: $i] :
( ( a @ ( A @ ( a @ m0 ) ) )
!= ( a @ ( e @ ( B @ m0 ) ) ) ),
inference(simp,[status(thm)],[1348]) ).
thf(1350,plain,
$false,
inference(pattern_uni,[status(thm)],[1349:[bind(A,$thf( e )),bind(B,$thf( a ))]]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN132-1 : TPTP v9.3.1. Released v1.1.0.
% 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
% 0.14/0.40 % Computer : n009.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sat Sep 26 17:14:44 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.41 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
% 0.87/1.01 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.85/1.32 % [INFO] Parsing done (313ms).
% 1.85/1.34 % [INFO] Running in sequential loop mode.
% 2.91/1.75 % [INFO] eprover registered as external prover.
% 2.91/1.76 % [INFO] Scanning for conjecture ...
% 3.42/1.91 % [INFO] Found a conjecture (or negated_conjecture) and 368 axioms. Running axiom selection ...
% 3.83/2.07 % [INFO] Axiom selection finished. Selected 368 axioms (removed 0 axioms).
% 4.77/2.30 % [INFO] Problem is propositional (TPTP CNF).
% 4.77/2.32 % [INFO] Type checking passed.
% 4.77/2.32 % [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 ...
% 20.07/5.98 % [INFO] Killing All external provers ...
% 20.07/5.99 % Time passed: 5425ms (effective reasoning time: 4636ms)
% 20.07/5.99 % Axioms used in derivation (1): axiom_12
% 20.07/5.99 % No. of inferences in proof: 8
% 20.07/5.99 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 5425 ms resp. 4636 ms w/o parsing
% 20.07/6.01 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 20.07/6.01 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------