TSTP Solution File: SWW469_1 by Leo-III-SAT---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.15
% Problem : SWW469_1 : TPTP v8.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d SAT
% Computer : n009.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 18:25:12 EDT 2024
% Result : Theorem 2.28s 1.47s
% Output : Refutation 2.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 29 ( 18 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 33 ( 22 ~; 4 |; 2 &; 0 @)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 6 con; 0-2 aty)
% Number of variables : 21 ( 0 ^ 14 !; 7 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(state_type,type,
state: $tType ).
thf(hoare_1310879719gleton_type,type,
hoare_1310879719gleton: $o ).
thf(sk1_type,type,
sk1: state ).
thf(sk2_type,type,
sk2: state ).
thf(sk3_type,type,
sk3: state ).
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(8,plain,
~ ! [A: state] :
~ ! [B: state] : ( B = A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(9,plain,
~ ~ ? [A: state] :
! [B: state] : ( B = A ),
inference(miniscope,[status(thm)],[8]) ).
thf(10,plain,
! [A: state] : ( A = sk1 ),
inference(cnf,[status(esa)],[9]) ).
thf(11,plain,
! [A: state] : ( A = sk1 ),
inference(lifteq,[status(thm)],[10]) ).
thf(3,axiom,
( hoare_1310879719gleton
<=> ? [A: state,B: state] : ( A != B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_state__not__singleton__def) ).
thf(12,plain,
( ( hoare_1310879719gleton
=> ? [A: state,B: state] : ( A != B ) )
& ( ? [A: state,B: state] : ( A != B )
=> hoare_1310879719gleton ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(13,plain,
( ( hoare_1310879719gleton
=> ~ ! [A: state,B: state] : ( A = B ) )
& ( ~ ! [A: state,B: state] : ( A = B )
=> hoare_1310879719gleton ) ),
inference(miniscope,[status(thm)],[12]) ).
thf(15,plain,
( ~ hoare_1310879719gleton
| ( sk2 != sk3 ) ),
inference(cnf,[status(esa)],[13]) ).
thf(17,plain,
( ( sk3 != sk2 )
| ~ hoare_1310879719gleton ),
inference(lifteq,[status(thm)],[15]) ).
thf(7,axiom,
hoare_1310879719gleton,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(22,plain,
hoare_1310879719gleton,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(24,plain,
( ( sk3 != sk2 )
| ~ $true ),
inference(rewrite,[status(thm)],[17,22]) ).
thf(25,plain,
sk3 != sk2,
inference(simp,[status(thm)],[24]) ).
thf(26,plain,
! [A: state] :
( ( sk2 != sk1 )
| ( A != sk3 ) ),
inference(paramod_ordered,[status(thm)],[11,25]) ).
thf(27,plain,
sk2 != sk1,
inference(pattern_uni,[status(thm)],[26:[bind(A,$thf( sk3 ))]]) ).
thf(29,plain,
$false,
inference(simplifyReflect,[status(thm)],[27,11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW469_1 : TPTP v8.2.0. Released v5.3.0.
% 0.03/0.12 % Command : run_Leo-III %s %d SAT
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jun 19 08:08:55 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.94/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.17/0.95 % [INFO] Parsing done (90ms).
% 1.17/0.96 % [INFO] Running in sequential loop mode.
% 1.58/1.15 % [INFO] nitpick registered as external prover.
% 1.58/1.16 % [INFO] Scanning for conjecture ...
% 1.68/1.20 % [INFO] Found a conjecture (or negated_conjecture) and 5 axioms. Running axiom selection ...
% 1.68/1.22 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 1.68/1.23 % [INFO] Problem is typed first-order (TPTP TFF).
% 1.68/1.23 % [INFO] Type checking passed.
% 1.68/1.23 % [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 ...
% 1.98/1.31 % [INFO] [Domain constraints] Detected constraint on state
% 1.98/1.31 % [INFO] [Domain constraints] dom(state) ⊆ {sk1}
% 2.28/1.47 % [INFO] Killing All external provers ...
% 2.28/1.47 % Time passed: 943ms (effective reasoning time: 509ms)
% 2.28/1.47 % 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)>
% 2.28/1.47 % Axioms used in derivation (2): fact_0_state__not__singleton__def, conj_0
% 2.28/1.47 % No. of inferences in proof: 18
% 2.28/1.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 943 ms resp. 509 ms w/o parsing
% 2.57/1.54 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.57/1.54 % [INFO] Killing All external provers ...
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