TSTP Solution File: SWW469_5 by Leo-III-SAT---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.15
% Problem : SWW469_5 : TPTP v8.2.0. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d SAT
% Computer : n010.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 : Mon Jun 24 18:25:13 EDT 2024
% Result : Theorem 6.94s 2.66s
% Output : Refutation 6.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 30 ( 16 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 34 ( 22 ~; 5 |; 2 &; 0 @)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 9 ( 8 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 5 con; 0-2 aty)
% Number of variables : 21 ( 0 ^ 11 !; 10 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(com_type,type,
com: $tType ).
thf(state_type,type,
state: $tType ).
thf(bool_type,type,
bool: $tType ).
thf(int_type,type,
int: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(char_type,type,
char: $tType ).
thf(literal_type,type,
literal: $tType ).
thf(nibble_type,type,
nibble: $tType ).
thf(hoare_531836380gleton_type,type,
hoare_531836380gleton: $o ).
thf(sk1_type,type,
sk1: state ).
thf(sk2_type,type,
sk2: state ).
thf(sk3_type,type,
sk3: state ).
thf(141,axiom,
hoare_531836380gleton,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(571,plain,
hoare_531836380gleton,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).
thf(1,conjecture,
! [A: state] :
? [B: state] : ( B != A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
thf(2,negated_conjecture,
~ ! [A: state] :
? [B: state] : ( B != A ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(142,plain,
~ ! [A: state] :
? [B: state] : ( B != A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(143,plain,
~ ~ ? [A: state] :
! [B: state] : ( B = A ),
inference(miniscope,[status(thm)],[142]) ).
thf(144,plain,
! [A: state] : ( A = sk1 ),
inference(cnf,[status(esa)],[143]) ).
thf(145,plain,
! [A: state] : ( A = sk1 ),
inference(lifteq,[status(thm)],[144]) ).
thf(3,axiom,
( hoare_531836380gleton
<=> ? [A: state,B: state] : ( A != B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_state__not__singleton__def) ).
thf(146,plain,
( ( hoare_531836380gleton
=> ? [A: state,B: state] : ( A != B ) )
& ( ? [A: state,B: state] : ( A != B )
=> hoare_531836380gleton ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(147,plain,
( ( hoare_531836380gleton
=> ~ ! [A: state,B: state] : ( A = B ) )
& ( ~ ! [A: state,B: state] : ( A = B )
=> hoare_531836380gleton ) ),
inference(miniscope,[status(thm)],[146]) ).
thf(149,plain,
( ~ hoare_531836380gleton
| ( sk2 != sk3 ) ),
inference(cnf,[status(esa)],[147]) ).
thf(151,plain,
( ( sk3 != sk2 )
| ~ hoare_531836380gleton ),
inference(lifteq,[status(thm)],[149]) ).
thf(580,plain,
! [A: state] :
( ( sk2 != sk1 )
| ~ hoare_531836380gleton
| ( A != sk3 ) ),
inference(paramod_ordered,[status(thm)],[145,151]) ).
thf(581,plain,
( ( sk2 != sk1 )
| ~ hoare_531836380gleton ),
inference(pattern_uni,[status(thm)],[580:[bind(A,$thf( sk3 ))]]) ).
thf(588,plain,
~ hoare_531836380gleton,
inference(simplifyReflect,[status(thm)],[581,145]) ).
thf(653,plain,
$false,
inference(rewrite,[status(thm)],[571,588]) ).
thf(654,plain,
$false,
inference(simp,[status(thm)],[653]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : SWW469_5 : TPTP v8.2.0. Released v6.0.0.
% 0.04/0.11 % Command : run_Leo-III %s %d SAT
% 0.10/0.32 % Computer : n010.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Wed Jun 19 06:31:25 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.96/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.51/1.04 % [INFO] Parsing done (191ms).
% 1.51/1.05 % [INFO] Running in sequential loop mode.
% 2.17/1.27 % [INFO] nitpick registered as external prover.
% 2.17/1.28 % [INFO] Scanning for conjecture ...
% 2.45/1.38 % [INFO] Found a conjecture (or negated_conjecture) and 139 axioms. Running axiom selection ...
% 2.60/1.41 % [INFO] Axiom selection finished. Selected 139 axioms (removed 0 axioms).
% 3.10/1.55 % [INFO] Problem is typed first-order (TPTP TFF).
% 3.10/1.57 % [INFO] Type checking passed.
% 3.10/1.57 % [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 ...
% 3.31/1.70 % [INFO] [Domain constraints] Detected constraint on state
% 3.31/1.70 % [INFO] [Domain constraints] dom(state) ⊆ {sk1}
% 5.09/2.16 % [INFO] [Domain constraints] Detected constraint on bool
% 5.09/2.16 % [INFO] [Domain constraints] dom(bool) ⊆ {fTrue,fFalse}
% 5.09/2.16 % [INFO] [Domain constraints] Detected constraint on bool
% 5.09/2.16 % [INFO] [Domain constraints] dom(bool) ⊆ {fTrue,fFalse}
% 6.94/2.66 % [INFO] Killing All external provers ...
% 6.94/2.66 % Time passed: 2151ms (effective reasoning time: 1605ms)
% 6.94/2.66 % 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)>
% 6.94/2.66 % Axioms used in derivation (2): conj_0, fact_0_state__not__singleton__def
% 6.94/2.66 % No. of inferences in proof: 18
% 6.94/2.66 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2151 ms resp. 1605 ms w/o parsing
% 6.94/2.68 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.94/2.68 % [INFO] Killing All external provers ...
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