%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR135^1 : TPTP v9.3.1. Released v4.1.0.
% 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 : n004.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 07:46:57 AM UTC 2026
% Result : Theorem 4.35s 2.42s
% Output : Refutation 4.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 3 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 0 avg)
% Number of connectives : 27 ( 6 ~; 2 |; 3 &; 16 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 5 con; 0-0 aty)
% Number of variables : 4 ( 0 ^; 1 !; 3 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(lBill_THFTYPE_i_decl,type,
lBill_THFTYPE_i: $i ).
thf(lMary_THFTYPE_i_decl,type,
lMary_THFTYPE_i: $i ).
thf(lSue_THFTYPE_i_decl,type,
lSue_THFTYPE_i: $i ).
thf(1,conjecture,
? [A: $i > $i > $o] :
( ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ? [A: $i > $i > $o] :
( ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(11,plain,
~ ? [A: $i > $i > $o] :
( ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(12,plain,
! [A: $i > $i > $o] :
( ~ ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(cnf,[status(esa)],[11]) ).
thf(42,plain,
( ~ $true
| ~ $true ),
inference(prim_subst,[status(thm)],[12:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : $true ))]]) ).
thf(71,plain,
$false,
inference(simp,[status(thm)],[42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR135^1 : TPTP v9.3.1. Released v4.1.0.
% 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
% 0.10/0.24 % Computer : n004.cluster.edu
% 0.10/0.24 % Model : x86_64 x86_64
% 0.10/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.24 % Memory : 8046.5625MB
% 0.10/0.24 % OS : Linux 6.8.0-71-generic
% 0.10/0.24 % CPULimit : 300
% 0.10/0.24 % WCLimit : 300
% 0.10/0.24 % DateTime : Tue Sep 29 17:55:52 UTC 2026
% 0.10/0.25 % CPUTime :
% 0.10/0.25 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
% 1.04/0.84 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.47/1.03 % [INFO] Parsing done (187ms).
% 1.47/1.05 % [INFO] Running in sequential loop mode.
% 2.05/1.46 % [INFO] eprover registered as external prover.
% 2.05/1.47 % [INFO] Scanning for conjecture ...
% 2.27/1.56 % [INFO] Found a conjecture (or negated_conjecture) and 8 axioms. Running axiom selection ...
% 2.27/1.59 % [INFO] Axiom selection finished. Selected 8 axioms (removed 0 axioms).
% 2.44/1.60 % [INFO] Problem is higher-order (TPTP THF).
% 2.44/1.61 % [INFO] Type checking passed.
% 2.44/1.61 % [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 ...
% 4.35/2.41 % [INFO] Killing All external provers ...
% 4.35/2.42 % Time passed: 2005ms (effective reasoning time: 1361ms)
% 4.35/2.42 % 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)>
% 4.35/2.42 % Axioms used in derivation (0):
% 4.35/2.42 % No. of inferences in proof: 6
% 4.35/2.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2005 ms resp. 1361 ms w/o parsing
% 4.35/2.44 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.35/2.44 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------