TSTP Solution File: CSR135^2 by Leo-III---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : CSR135^2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 7 07:38:56 EDT 2024
% Result : Theorem 3.06s 1.80s
% Output : Refutation 3.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 1 unt; 1 typ; 0 def)
% Number of atoms : 19 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 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(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(41,plain,
( ~ $true
| ~ $true ),
inference(prim_subst,[status(thm)],[15:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : $true ))]]) ).
thf(64,plain,
$false,
inference(simp,[status(thm)],[41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR135^2 : TPTP v8.1.2. Released v4.1.0.
% 0.14/0.15 % Command : run_Leo-III %s %d
% 0.15/0.37 % Computer : n019.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Mon May 6 15:47:24 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.89/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.16/0.97 % [INFO] Parsing done (126ms).
% 1.16/0.99 % [INFO] Running in sequential loop mode.
% 1.57/1.23 % [INFO] eprover registered as external prover.
% 1.57/1.23 % [INFO] cvc4 registered as external prover.
% 1.57/1.23 % [INFO] Scanning for conjecture ...
% 1.69/1.29 % [INFO] Found a conjecture and 11 axioms. Running axiom selection ...
% 1.80/1.31 % [INFO] Axiom selection finished. Selected 11 axioms (removed 0 axioms).
% 1.80/1.31 % [INFO] Problem is higher-order (TPTP THF).
% 1.80/1.32 % [INFO] Type checking passed.
% 1.80/1.32 % [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 ...
% 3.06/1.79 % [INFO] Killing All external provers ...
% 3.06/1.80 % Time passed: 1296ms (effective reasoning time: 802ms)
% 3.06/1.80 % 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)>
% 3.06/1.80 % Axioms used in derivation (0):
% 3.06/1.80 % No. of inferences in proof: 6
% 3.06/1.80 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1296 ms resp. 802 ms w/o parsing
% 3.06/1.81 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.06/1.81 % [INFO] Killing All external provers ...
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