TSTP Solution File: CSR152^3 by Leo-III---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : CSR152^3 : TPTP v8.1.2. Released v5.3.0.
% 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 07:39:02 EDT 2024
% Result : Theorem 6.44s 2.39s
% Output : Refutation 6.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 28 ( 8 unt; 7 typ; 0 def)
% Number of atoms : 49 ( 7 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 98 ( 16 ~; 6 |; 0 &; 72 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 6 con; 0-2 aty)
% Number of variables : 7 ( 0 ^ 7 !; 0 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(knows_THFTYPE_IiooI_type,type,
knows_THFTYPE_IiooI: $i > $o > $o ).
thf(lBill_THFTYPE_i_type,type,
lBill_THFTYPE_i: $i ).
thf(lChris_THFTYPE_i_type,type,
lChris_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(4,axiom,
( knows_THFTYPE_IiooI @ lChris_THFTYPE_i
@ ! [A: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002) ).
thf(13,plain,
( knows_THFTYPE_IiooI @ lChris_THFTYPE_i
@ ! [A: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(1,conjecture,
knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(7,plain,
~ ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ( lChris_THFTYPE_i = lChris_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).
thf(14,plain,
knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ $true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(16,plain,
( ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ $true ) ),
inference(paramod_ordered,[status(thm)],[14,7]) ).
thf(18,plain,
( ( lChris_THFTYPE_i != lChris_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[16]) ).
thf(20,plain,
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ),
inference(simp,[status(thm)],[18]) ).
thf(22,plain,
~ ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ $false ),
inference(rewrite,[status(thm)],[7,20]) ).
thf(29,plain,
( ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i
@ ! [A: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
!= ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ $false ) ),
inference(paramod_ordered,[status(thm)],[13,22]) ).
thf(30,plain,
( ( lChris_THFTYPE_i != lChris_THFTYPE_i )
| ! [A: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) ),
inference(simp,[status(thm)],[29]) ).
thf(31,plain,
! [A: $i] :
( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
| ( lChris_THFTYPE_i != lChris_THFTYPE_i ) ),
inference(cnf,[status(esa)],[30]) ).
thf(32,plain,
! [A: $i] :
( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ),
inference(simp,[status(thm)],[31]) ).
thf(35,plain,
! [A: $i] :
( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[32,20]) ).
thf(36,plain,
~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ),
inference(pattern_uni,[status(thm)],[35:[bind(A,$thf( lBill_THFTYPE_i ))]]) ).
thf(6,axiom,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001) ).
thf(15,plain,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(50,plain,
~ $true,
inference(rewrite,[status(thm)],[36,15]) ).
thf(51,plain,
$false,
inference(simp,[status(thm)],[50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR152^3 : TPTP v8.1.2. Released v5.3.0.
% 0.15/0.15 % Command : run_Leo-III %s %d
% 0.15/0.37 % Computer : n027.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 15:41:39 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.83/0.81 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.95/1.33 % [INFO] Parsing done (521ms).
% 3.15/1.34 % [INFO] Running in sequential loop mode.
% 3.69/1.57 % [INFO] eprover registered as external prover.
% 3.69/1.57 % [INFO] cvc4 registered as external prover.
% 3.69/1.57 % [INFO] Scanning for conjecture ...
% 4.31/1.75 % [INFO] Found a conjecture and 3580 axioms. Running axiom selection ...
% 4.44/1.81 % [INFO] Axiom selection finished. Selected 4 axioms (removed 3576 axioms).
% 4.44/1.82 % [INFO] Problem is higher-order (TPTP THF).
% 4.44/1.82 % [INFO] Type checking passed.
% 4.44/1.83 % [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 ...
% 6.32/2.38 % [INFO] Killing All external provers ...
% 6.44/2.38 % Time passed: 1869ms (effective reasoning time: 1036ms)
% 6.44/2.38 % 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)>
% 6.44/2.38 % Axioms used in derivation (3): ax_002, ax, ax_001
% 6.44/2.38 % No. of inferences in proof: 21
% 6.44/2.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1869 ms resp. 1036 ms w/o parsing
% 6.44/2.40 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.44/2.40 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------