%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN133-1 : TPTP v9.3.1. Released v1.1.0.
% 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 : n008.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 18.07s 20.15s
% Output : Refutation 18.07s
% 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 : 5 ( 2 usr; 3 con; 0-3 aty)
% Number of variables : 13 ( 0 ^; 13 !; 0 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
thf(m0_decl,type,
m0: $i > $i > $i > $o ).
thf(d_decl,type,
d: $i ).
thf(325,axiom,
! [B: $i,A: $i] : ( B @ ( d @ ( A @ m0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
thf(987,plain,
! [B: $i,A: $i] : ( B @ ( d @ ( A @ m0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[325]) ).
thf(1,negated_conjecture,
! [A: $i] :
~ ( d @ ( A @ ( d @ m0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
thf(370,plain,
! [A: $i] :
~ ( d @ ( A @ ( d @ m0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(371,plain,
! [A: $i] :
~ ( d @ ( A @ ( d @ m0 ) ) ),
inference(polarity_switch,[status(thm)],[370]) ).
thf(1223,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( d @ ( A @ m0 ) ) )
!= ( d @ ( C @ ( d @ m0 ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[987,371]) ).
thf(1224,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( d @ ( A @ m0 ) ) )
!= ( d @ ( C @ ( d @ m0 ) ) ) ),
inference(simp,[status(thm)],[1223]) ).
thf(1225,plain,
$false,
inference(pattern_uni,[status(thm)],[1224:[bind(A,$thf( d )),bind(B,$thf( d )),bind(C,$thf( d ))]]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN133-1 : TPTP v9.3.1. Released v1.1.0.
% 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
% 0.16/15.54 % Computer : n008.cluster.edu
% 0.16/15.54 % Model : x86_64 x86_64
% 0.16/15.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/15.54 % Memory : 8046.5625MB
% 0.16/15.54 % OS : Linux 6.8.0-71-generic
% 0.16/15.54 % CPULimit : 300
% 0.16/15.54 % WCLimit : 300
% 0.16/15.54 % DateTime : Sat Sep 26 17:15:28 UTC 2026
% 0.16/15.54 % CPUTime :
% 0.16/15.54 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
% 0.19/15.84 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.37/16.03 % [INFO] Parsing done (192ms).
% 1.37/16.04 % [INFO] Running in sequential loop mode.
% 1.88/16.25 % [INFO] eprover registered as external prover.
% 1.88/16.25 % [INFO] Scanning for conjecture ...
% 2.51/16.40 % [INFO] Found a conjecture (or negated_conjecture) and 368 axioms. Running axiom selection ...
% 2.80/16.57 % [INFO] Axiom selection finished. Selected 368 axioms (removed 0 axioms).
% 3.64/16.77 % [INFO] Problem is propositional (TPTP CNF).
% 3.64/16.78 % [INFO] Type checking passed.
% 3.64/16.78 % [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 ...
% 18.07/20.14 % [INFO] Killing All external provers ...
% 18.07/20.15 % Time passed: 4509ms (effective reasoning time: 4101ms)
% 18.07/20.15 % Axioms used in derivation (1): axiom_19
% 18.07/20.15 % No. of inferences in proof: 8
% 18.07/20.15 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 4509 ms resp. 4101 ms w/o parsing
% 18.07/20.18 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 18.07/20.18 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------