TSTP Solution File: CSR129^2 by Leo-III---1.7.10
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : CSR129^2 : 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 07:38:54 EDT 2024
% Result : Theorem 9.44s 2.97s
% Output : Refutation 9.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 31 ( 8 unt; 10 typ; 0 def)
% Number of atoms : 42 ( 6 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 122 ( 14 ~; 4 |; 6 &; 98 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 25 ( 25 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 9 ( 0 ^ 6 !; 3 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(holdsDuring_THFTYPE_IiooI_type,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(instance_THFTYPE_IiioI_type,type,
instance_THFTYPE_IiioI: $i > $i > $o ).
thf(lBill_THFTYPE_i_type,type,
lBill_THFTYPE_i: $i ).
thf(lMary_THFTYPE_i_type,type,
lMary_THFTYPE_i: $i ).
thf(lTotalValuedRelation_THFTYPE_i_type,type,
lTotalValuedRelation_THFTYPE_i: $i ).
thf(lWhenFn_THFTYPE_i_type,type,
lWhenFn_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(44,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_005) ).
thf(121,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(8,axiom,
instance_THFTYPE_IiioI @ lWhenFn_THFTYPE_i @ lTotalValuedRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_052) ).
thf(72,plain,
instance_THFTYPE_IiioI @ lWhenFn_THFTYPE_i @ lTotalValuedRelation_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(1,conjecture,
? [A: $i > $i > $o] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ? [A: $i > $i > $o] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(61,plain,
~ ? [A: $i > $i > $o] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(62,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(cnf,[status(esa)],[61]) ).
thf(152,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
| ( ( instance_THFTYPE_IiioI @ lWhenFn_THFTYPE_i @ lTotalValuedRelation_THFTYPE_i )
!= ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[72,62]) ).
thf(153,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( instance_THFTYPE_IiioI @ lWhenFn_THFTYPE_i @ lTotalValuedRelation_THFTYPE_i ) ),
inference(pre_uni,[status(thm)],[152:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( instance_THFTYPE_IiioI @ lWhenFn_THFTYPE_i @ lTotalValuedRelation_THFTYPE_i ) ))]]) ).
thf(161,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ),
inference(rewrite,[status(thm)],[153,72]) ).
thf(454,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
inference(paramod_ordered,[status(thm)],[121,161]) ).
thf(458,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[454]) ).
thf(466,plain,
~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ),
inference(simp,[status(thm)],[458]) ).
thf(468,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false,
inference(rewrite,[status(thm)],[121,466]) ).
thf(472,plain,
! [A: $i > $i > $o] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ),
inference(paramod_ordered,[status(thm)],[468,62]) ).
thf(476,plain,
! [A: $i > $i > $o] :
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[472]) ).
thf(480,plain,
! [A: $i > $i > $o] :
( ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
inference(cnf,[status(esa)],[476]) ).
thf(482,plain,
! [A: $i > $i > $o] : ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i ),
inference(simp,[status(thm)],[480]) ).
thf(534,plain,
$false,
inference(prim_subst,[status(thm)],[482:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : $false ))]]) ).
thf(565,plain,
$false,
inference(simp,[status(thm)],[534]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : CSR129^2 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.16 % Command : run_Leo-III %s %d
% 0.17/0.37 % Computer : n027.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Mon May 6 15:48:54 EDT 2024
% 0.17/0.38 % CPUTime :
% 0.96/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.42/1.02 % [INFO] Parsing done (148ms).
% 1.42/1.03 % [INFO] Running in sequential loop mode.
% 1.87/1.23 % [INFO] eprover registered as external prover.
% 1.87/1.23 % [INFO] cvc4 registered as external prover.
% 1.87/1.24 % [INFO] Scanning for conjecture ...
% 1.96/1.30 % [INFO] Found a conjecture and 64 axioms. Running axiom selection ...
% 2.20/1.35 % [INFO] Axiom selection finished. Selected 58 axioms (removed 6 axioms).
% 2.20/1.38 % [INFO] Problem is higher-order (TPTP THF).
% 2.44/1.39 % [INFO] Type checking passed.
% 2.44/1.39 % [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 ...
% 9.44/2.97 % [INFO] Killing All external provers ...
% 9.44/2.97 % Time passed: 2423ms (effective reasoning time: 1932ms)
% 9.44/2.97 % 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)>
% 9.44/2.97 % Axioms used in derivation (2): ax_005, ax_052
% 9.44/2.97 % No. of inferences in proof: 21
% 9.44/2.97 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2423 ms resp. 1932 ms w/o parsing
% 9.44/2.99 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 9.44/2.99 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------