%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR135^2 : 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 : n001.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 3.83s 2.26s
% Output : Refutation 3.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 2 ( 0 equ; 0 cnn)
% Maximal formula atoms : 1 ( 0 avg)
% Number of connectives : 36 ( 8 ~; 3 |; 3 &; 22 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 5 con; 0-0 aty)
% Number of variables : 5 ( 0 ^; 2 !; 3 ?; 5 :)
% 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(14,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(15,plain,
! [A: $i > $i > $o] :
( ~ ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(cnf,[status(esa)],[14]) ).
thf(40,plain,
! [A: $i > $i > $o] :
( ~ ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(eqfactor_ordered,[status(thm)],[15]) ).
thf(53,plain,
~ $true,
inference(pre_uni,[status(thm)],[40:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : $true ))]]) ).
thf(72,plain,
$false,
inference(simp,[status(thm)],[53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR135^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % 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
% 0.09/0.21 % Computer : n001.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Tue Sep 29 18:01:51 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 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
% 0.89/0.79 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.24/0.99 % [INFO] Parsing done (200ms).
% 1.24/1.01 % [INFO] Running in sequential loop mode.
% 2.09/1.41 % [INFO] eprover registered as external prover.
% 2.09/1.42 % [INFO] Scanning for conjecture ...
% 2.26/1.50 % [INFO] Found a conjecture (or negated_conjecture) and 11 axioms. Running axiom selection ...
% 2.26/1.54 % [INFO] Axiom selection finished. Selected 11 axioms (removed 0 axioms).
% 2.26/1.55 % [INFO] Problem is higher-order (TPTP THF).
% 2.26/1.56 % [INFO] Type checking passed.
% 2.26/1.56 % [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 ...
% 3.83/2.26 % [INFO] Killing All external provers ...
% 3.83/2.26 % Time passed: 1901ms (effective reasoning time: 1243ms)
% 3.83/2.26 % 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)>
% 3.83/2.26 % Axioms used in derivation (0):
% 3.83/2.26 % No. of inferences in proof: 7
% 3.83/2.26 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1901 ms resp. 1243 ms w/o parsing
% 3.83/2.29 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.83/2.29 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------