TSTP Solution File: CSR119^3 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : CSR119^3 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n005.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 10:29:35 EDT 2024
% Result : Theorem 9.11s 3.46s
% Output : Refutation 9.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 24 ( 6 unt; 8 typ; 0 def)
% Number of atoms : 48 ( 7 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 109 ( 11 ~; 5 |; 7 &; 86 @)
% ( 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 : 12 ( 0 ^ 9 !; 3 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(holdsDuring_THFTYPE_IiooI_type,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(lYearFn_THFTYPE_IiiI_type,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
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(likes_THFTYPE_IiioI_type,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(n2009_THFTYPE_i_type,type,
n2009_THFTYPE_i: $i ).
thf(6,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) ).
thf(20,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)],[6]) ).
thf(1,conjecture,
? [A: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ A @ lBill_THFTYPE_i ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ? [A: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ A @ lBill_THFTYPE_i ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(11,plain,
~ ? [A: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ A @ lBill_THFTYPE_i ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(12,plain,
! [A: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ A @ lBill_THFTYPE_i ) ),
inference(cnf,[status(esa)],[11]) ).
thf(38,plain,
! [A: $i] :
( ( 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 @ A @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[20,12]) ).
thf(39,plain,
! [A: $i] :
( ( ( 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 @ A @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[38]) ).
thf(40,plain,
! [A: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( likes_THFTYPE_IiioI @ A @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[39]) ).
thf(42,plain,
! [A: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
| ( likes_THFTYPE_IiioI @ A @ lBill_THFTYPE_i ) ),
inference(bool_ext,[status(thm)],[40]) ).
thf(44,plain,
! [A: $i] :
( ( likes_THFTYPE_IiioI @ A @ lBill_THFTYPE_i )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(cnf,[status(esa)],[42]) ).
thf(84,plain,
! [A: $i] :
( ( likes_THFTYPE_IiioI @ A @ lBill_THFTYPE_i )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( likes_THFTYPE_IiioI @ A @ lBill_THFTYPE_i ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[44]) ).
thf(88,plain,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
inference(pattern_uni,[status(thm)],[84:[bind(A,$thf( lSue_THFTYPE_i ))]]) ).
thf(101,plain,
! [A: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& $true )
!= ( likes_THFTYPE_IiioI @ A @ lBill_THFTYPE_i ) ),
inference(rewrite,[status(thm)],[40,88]) ).
thf(102,plain,
! [A: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= ( likes_THFTYPE_IiioI @ A @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[101]) ).
thf(107,plain,
$false,
inference(pattern_uni,[status(thm)],[102:[bind(A,$thf( lMary_THFTYPE_i ))]]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : CSR119^3 : TPTP v8.1.2. Released v5.3.0.
% 0.03/0.14 % Command : run_Leo-III %s %d
% 0.11/0.34 % Computer : n005.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Mon May 6 23:23:24 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.98/0.95 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 3.76/1.70 % [INFO] Parsing done (747ms).
% 3.76/1.72 % [INFO] Running in sequential loop mode.
% 4.56/2.06 % [INFO] nitpick registered as external prover.
% 4.73/2.06 % [INFO] Scanning for conjecture ...
% 5.63/2.37 % [INFO] Found a conjecture and 3578 axioms. Running axiom selection ...
% 5.92/2.46 % [INFO] Axiom selection finished. Selected 8 axioms (removed 3570 axioms).
% 5.92/2.49 % [INFO] Problem is higher-order (TPTP THF).
% 5.92/2.49 % [INFO] Type checking passed.
% 6.03/2.50 % [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 ...
% 9.11/3.45 % [INFO] Killing All external provers ...
% 9.11/3.46 % Time passed: 2965ms (effective reasoning time: 1732ms)
% 9.11/3.46 % 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)>
% 9.11/3.46 % Axioms used in derivation (1): ax
% 9.11/3.46 % No. of inferences in proof: 16
% 9.11/3.46 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2965 ms resp. 1732 ms w/o parsing
% 9.11/3.48 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 9.11/3.48 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------