TSTP Solution File: SWW469+5 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SWW469+5 : TPTP v8.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n002.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 21 06:52:59 EDT 2024
% Result : Theorem 6.19s 2.39s
% Output : Refutation 6.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 25 ( 11 unt; 7 typ; 0 def)
% Number of atoms : 29 ( 18 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 114 ( 22 ~; 4 |; 2 &; 81 @)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 7 con; 0-2 aty)
% Number of variables : 21 ( 0 ^ 14 !; 7 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(ti_type,type,
ti: $i > $i > $i ).
thf(state_type,type,
state: $i ).
thf(hBOOL_type,type,
hBOOL: $i > $o ).
thf(hoare_1883395792gleton_type,type,
hoare_1883395792gleton: $i ).
thf(sk1_type,type,
sk1: $i ).
thf(sk8_type,type,
sk8: $i ).
thf(sk9_type,type,
sk9: $i ).
thf(1,conjecture,
! [A: $i] :
~ ! [B: $i] :
( ( ti @ state @ B )
= ( ti @ state @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
thf(2,negated_conjecture,
~ ! [A: $i] :
~ ! [B: $i] :
( ( ti @ state @ B )
= ( ti @ state @ A ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(65,plain,
~ ! [A: $i] :
~ ! [B: $i] :
( ( ti @ state @ B )
= ( ti @ state @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(66,plain,
~ ~ ? [A: $i] :
! [B: $i] :
( ( ti @ state @ B )
= ( ti @ state @ A ) ),
inference(miniscope,[status(thm)],[65]) ).
thf(67,plain,
! [A: $i] :
( ( ti @ state @ A )
= ( ti @ state @ sk1 ) ),
inference(cnf,[status(esa)],[66]) ).
thf(68,plain,
! [A: $i] :
( ( ti @ state @ A )
= ( ti @ state @ sk1 ) ),
inference(lifteq,[status(thm)],[67]) ).
thf(48,axiom,
( ( hBOOL @ hoare_1883395792gleton )
<=> ? [A: $i,B: $i] :
( ( ti @ state @ A )
!= ( ti @ state @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_state__not__singleton__def) ).
thf(192,plain,
( ( ( hBOOL @ hoare_1883395792gleton )
=> ? [A: $i,B: $i] :
( ( ti @ state @ A )
!= ( ti @ state @ B ) ) )
& ( ? [A: $i,B: $i] :
( ( ti @ state @ A )
!= ( ti @ state @ B ) )
=> ( hBOOL @ hoare_1883395792gleton ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(193,plain,
( ( ( hBOOL @ hoare_1883395792gleton )
=> ~ ! [A: $i,B: $i] :
( ( ti @ state @ A )
= ( ti @ state @ B ) ) )
& ( ~ ! [A: $i,B: $i] :
( ( ti @ state @ A )
= ( ti @ state @ B ) )
=> ( hBOOL @ hoare_1883395792gleton ) ) ),
inference(miniscope,[status(thm)],[192]) ).
thf(195,plain,
( ~ ( hBOOL @ hoare_1883395792gleton )
| ( ( ti @ state @ sk8 )
!= ( ti @ state @ sk9 ) ) ),
inference(cnf,[status(esa)],[193]) ).
thf(197,plain,
( ( ( ti @ state @ sk9 )
!= ( ti @ state @ sk8 ) )
| ~ ( hBOOL @ hoare_1883395792gleton ) ),
inference(lifteq,[status(thm)],[195]) ).
thf(3,axiom,
hBOOL @ hoare_1883395792gleton,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(69,plain,
hBOOL @ hoare_1883395792gleton,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(265,plain,
( ( ( ti @ state @ sk9 )
!= ( ti @ state @ sk8 ) )
| ~ $true ),
inference(rewrite,[status(thm)],[197,69]) ).
thf(266,plain,
( ( ti @ state @ sk9 )
!= ( ti @ state @ sk8 ) ),
inference(simp,[status(thm)],[265]) ).
thf(271,plain,
! [A: $i] :
( ( ( ti @ state @ sk8 )
!= ( ti @ state @ sk1 ) )
| ( ( ti @ state @ A )
!= ( ti @ state @ sk9 ) ) ),
inference(paramod_ordered,[status(thm)],[68,266]) ).
thf(272,plain,
( ( ti @ state @ sk8 )
!= ( ti @ state @ sk1 ) ),
inference(pattern_uni,[status(thm)],[271:[bind(A,$thf( sk9 ))]]) ).
thf(292,plain,
$false,
inference(simplifyReflect,[status(thm)],[272,68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWW469+5 : TPTP v8.2.0. Released v5.3.0.
% 0.16/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n002.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sat May 18 19:33:09 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.99/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.51/1.04 % [INFO] Parsing done (165ms).
% 1.51/1.05 % [INFO] Running in sequential loop mode.
% 1.94/1.24 % [INFO] nitpick registered as external prover.
% 1.94/1.25 % [INFO] Scanning for conjecture ...
% 2.19/1.33 % [INFO] Found a conjecture (or negated_conjecture) and 62 axioms. Running axiom selection ...
% 2.34/1.39 % [INFO] Axiom selection finished. Selected 62 axioms (removed 0 axioms).
% 2.93/1.50 % [INFO] Problem is first-order (TPTP FOF).
% 2.93/1.51 % [INFO] Type checking passed.
% 2.93/1.51 % [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 ...
% 6.19/2.39 % [INFO] Killing All external provers ...
% 6.19/2.39 % Time passed: 1847ms (effective reasoning time: 1336ms)
% 6.19/2.39 % 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)>
% 6.19/2.39 % Axioms used in derivation (2): fact_0_state__not__singleton__def, conj_0
% 6.19/2.39 % No. of inferences in proof: 18
% 6.19/2.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1847 ms resp. 1336 ms w/o parsing
% 6.36/2.41 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.36/2.41 % [INFO] Killing All external provers ...
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