TSTP Solution File: CSR151^2 by Leo-III-SAT---1.7.10
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : CSR151^2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n027.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 10:29:49 EDT 2024
% Result : Theorem 7.38s 2.83s
% Output : Refutation 7.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 21 ( 5 unt; 8 typ; 0 def)
% Number of atoms : 46 ( 5 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 110 ( 7 ~; 3 |; 15 &; 85 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 ^ 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(holdsDuring_THFTYPE_IiooI_type,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(lBill_THFTYPE_i_type,type,
lBill_THFTYPE_i: $i ).
thf(lMary_THFTYPE_i_type,type,
lMary_THFTYPE_i: $i ).
thf(lSue_THFTYPE_i_type,type,
lSue_THFTYPE_i: $i ).
thf(lYearFn_THFTYPE_IiiI_type,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(likes_THFTYPE_IiioI_type,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(n2009_THFTYPE_i_type,type,
n2009_THFTYPE_i: $i ).
thf(37,axiom,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_026) ).
thf(92,plain,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(1,conjecture,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(42,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(157,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[92,42]) ).
thf(164,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ) ),
inference(simp,[status(thm)],[157]) ).
thf(167,plain,
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[164]) ).
thf(175,plain,
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(bool_ext,[status(thm)],[167]) ).
thf(179,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(cnf,[status(esa)],[175]) ).
thf(182,plain,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
inference(simp,[status(thm)],[179]) ).
thf(190,plain,
( ( $true
& ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& $true ) ),
inference(rewrite,[status(thm)],[167,182]) ).
thf(191,plain,
$false,
inference(simp,[status(thm)],[190]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.15 % Problem : CSR151^2 : TPTP v8.1.2. Released v4.1.0.
% 0.18/0.18 % Command : run_Leo-III %s %d
% 0.18/0.39 % Computer : n027.cluster.edu
% 0.18/0.39 % Model : x86_64 x86_64
% 0.18/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.39 % Memory : 8042.1875MB
% 0.18/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.39 % CPULimit : 300
% 0.18/0.39 % WCLimit : 300
% 0.18/0.39 % DateTime : Mon May 6 23:33:54 EDT 2024
% 0.18/0.39 % CPUTime :
% 0.91/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.64/1.11 % [INFO] Parsing done (249ms).
% 1.64/1.13 % [INFO] Running in sequential loop mode.
% 2.38/1.49 % [INFO] nitpick registered as external prover.
% 2.38/1.50 % [INFO] Scanning for conjecture ...
% 2.54/1.59 % [INFO] Found a conjecture and 189 axioms. Running axiom selection ...
% 2.86/1.67 % [INFO] Axiom selection finished. Selected 39 axioms (removed 150 axioms).
% 2.86/1.70 % [INFO] Problem is higher-order (TPTP THF).
% 2.86/1.71 % [INFO] Type checking passed.
% 2.86/1.71 % [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 ...
% 7.38/2.82 % [INFO] Killing All external provers ...
% 7.38/2.82 % Time passed: 2267ms (effective reasoning time: 1689ms)
% 7.38/2.82 % 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)>
% 7.38/2.83 % Axioms used in derivation (1): ax_026
% 7.38/2.83 % No. of inferences in proof: 13
% 7.38/2.83 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2267 ms resp. 1689 ms w/o parsing
% 7.38/2.85 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.38/2.85 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------